01234_01243_01324_02134_02143_02413_10234_10243_10324
Counting sequence:
1, 1, 2, 6, 24, 111, 551, 2852, 15195, 82696, 457456, 2563524, 14518331, 82951421, 477502522, 2766406061, 16116863512, 94356976866, 554821258833, 3275026606238, 19399391412300, 115272888691997, 686921090656570, 4104107617116085, 24579234121123995, 147527422675083368, 887276126219777236, 5346401302067149634, 32271797635523678800, 195115506401662130624, 1181464944973308540473, 7164209254563220062917, 43500670610965362115653, 264465656632365454871593, 1609743522398828307957203, 9809103094080780381606426, 59835739015605980585848405, 365364581231790616750429022, 2233079801951468744593823860, 13660712826485190296930037490, 83640119880462294596610227351, 512519433001226407267634601391, 3142996740778518258100386477096, 19288571562031622389868704236817, 118458006998831620610878846128392, 727986988830213376804927955846537, 4476773674632885710065003528893462, 27547187268788845587629025045031017, 169609035160824387052249108745587800, 1044888549291395024097922442043340411, 6440661824271031257408043146265158755, 39721112573191156476041688322095501123, 245094776435702348152434106034494786989, 1513074435949199991334718568325185451551, 9345281972416120200782777145203969872691, 57746159804401317688460410933736086890628, 356981310344366848390409639113056687761238, 2207765642394494432574810718163966533991090, 13659643446866676852435724607699967547475714, 84547106704368480875523113381303119138945333, 523510641799638650262586566549371584337334737, 3242756291788246742057407978774364566505342607, 20093706214133349046674175535086916924915247383, 124554056017913944914329042990774467528297896492, 772330455505278733123096100369233052112176952512, 4790617404107971035176069470641237483896418694067, 29724778997054987696287612002314164441267469022790, 184493285167833876897426326645372933481387671155660, 1145442825739532483641400307384313824391819420284908, 7113666404952073157123612041583378339939503675338398, 44191349042994813138412758834245853644833990638033921, 274600495354443761454389203777629920213211435036937220, 1706799120870907708988272483607491395038611925480568241, 10611515643357291029560532899941936770364477822344381144, 65990792144362798723676488833451932633722000655289811575, 410485005962521845868117398700801246918613235281613151585, 2553974272526756673476232252059203764204265378881674581769, 15894187720098399309886825982826087389130814910766653197890, 98937331931411663324903643824994570552702584311777248478097, 615998450451791472816114158416623918333149693836625617947284, 3836138130844609345744209227688565593979172271035975419515289, 23894709507659655045210409827781148807448475243507273230769825, 148867524411394725736846019514145897112773536534162834622887358, 927655535603257297068812276825263212490670252031890240140474387, 5781759493333261061503442502762278777207960974894348319553947933, 36042742333821665773312173131724169802227951030790981002082256116, 224728544550629666701519354099611263464112354841041004475232112270, 1401455804392704499380384310383258201863827808137534083493475013004, 8741370743168205605010952537352131612338214406210446501857975348080, 54532688503800262658010336668924186032018695425454660784482173809180, 340259171540563588742339105584755029329038668291508374127804410851833, 2123423959814683242262566946610234378747542991651878535237745297798607, 13253664140826888548441912830043633075248829626100900995513577307174423, 82738199292761752076887678049345666464071661791268949585849188046083796, 516589475349724528963105982165019876480620004252874857636860522619209931, 3225915620351860771940367598136480881511763813365360749571659669166647211, 20147772201941671486255138184068699272899931484735847019744776070955334235, 125853790365365184565360621640693208191438671825356537174994129388713883224, 786266021199333943150644644170114960479219016609318457264768565380528601366, 4912871391658358297868244808269293225944997760167781356004480226523957970210, 30701722280981762598073207682012412980877595319543457309836072542087849355976
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25279/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[10,x]*F[4,x]
F[4,x] = F[1,x]+F[5,x]+F[79,x]
F[5,x] = F[10,x]*F[6,x]
F[6,x] = F[7,x,1]
F[7,x,k[0]] = F[1,x]+F[11,x,k[0]]+F[67,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[10,x]*F[9,x,k[0]]
F[9,x,k[0]] = 1/(-1+k[0])*(F[7,x,k[0]]*k[0]-F[7,x,1])
F[10,x] = x
F[11,x,k[0]] = F[10,x]*F[12,x,k[0]]
F[12,x,k[0]] = 1/(-1+k[0])*(F[13,x,k[0]]*k[0]-F[13,x,1])
F[13,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[59,x,k[0]]+F[8,x,k[0]]
F[14,x,k[0]] = F[10,x]*F[15,x,k[0]]
F[15,x,k[0]] = F[16,x]+F[17,x,k[0]]
F[16,x] = F[13,x,1]
F[17,x,k[0]] = k[0]*F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[10,x]*F[20,x]
F[20,x] = -F[75,x]+F[21,x]
F[21,x] = F[22,x,1]
F[22,x,k[0]] = F[23,x,k[0]]+F[35,x,k[0]]
F[23,x,k[0]] = F[13,x,k[0]]+F[24,x,k[0]]+F[74,x]
F[24,x,k[0]] = F[10,x]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[72,x]
F[26,x,k[0]] = 1/(-1+k[0])*(F[27,x,k[0]]*k[0]-F[27,x,1])
F[27,x,k[0]] = F[28,x,k[0]]+F[29,x,k[0]]+F[7,x,k[0]]
F[28,x,k[0]] = F[24,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[10,x]*F[31,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]+F[33,x]
F[32,x,k[0]] = 1/(-1+k[0])*(F[23,x,k[0]]*k[0]-F[23,x,1])
F[33,x] = F[34,x,1]
F[34,x,k[0]] = k[0]*F[35,x,k[0]]
F[35,x,k[0]] = 2*F[36,x]+F[37,x,k[0]]+F[71,x,k[0]]
F[36,x] = 0
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[10,x]*F[39,x,k[0]]
F[39,x,k[0]] = 1/(-1+k[0])*(F[40,x,k[0]]*k[0]-F[40,x,1])
F[40,x,k[0]] = F[36,x]+F[41,x,k[0]]+F[42,x,k[0]]+F[45,x,k[0]]
F[41,x,k[0]] = F[37,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[10,x]*F[44,x,k[0]]
F[44,x,k[0]] = 1/(-1+k[0])*(F[35,x,k[0]]*k[0]-F[35,x,1])
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[10,x]*F[47,x,k[0]]
F[48,x,k[0]] = F[10,x]*F[47,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]
F[50,x,k[0]] = F[49,x,k[0]]+F[7,x,k[0]]
F[50,x,k[0]] = F[1,x]+F[51,x,k[0]]+F[64,x,k[0]]+F[67,x,k[0]]+F[70,x,k[0]]
F[52,x,k[0]] = F[1,x]+F[51,x,k[0]]+F[55,x,k[0]]+F[59,x,k[0]]+F[63,x,k[0]]
F[52,x,k[0]] = F[13,x,k[0]]+F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[10,x]*F[23,x,k[0]]
F[55,x,k[0]] = F[10,x]*F[56,x,k[0]]
F[56,x,k[0]] = F[57,x]+F[58,x,k[0]]
F[57,x] = F[15,x,1]
F[58,x,k[0]] = F[17,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]*F[62,x,k[0]]
F[60,x,k[0]] = F[13,x,k[0]]+F[61,x,k[0]]
F[61,x,k[0]] = k[0]*F[53,x,k[0]]
F[62,x,k[0]] = k[0]*x
F[63,x,k[0]] = F[10,x]*F[13,x,k[0]]
F[64,x,k[0]] = F[10,x]*F[65,x,k[0]]
F[65,x,k[0]] = F[12,x,k[0]]+F[66,x,k[0]]
F[66,x,k[0]] = F[18,x]
F[67,x,k[0]] = F[62,x,k[0]]*F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]+F[7,x,k[0]]
F[69,x,k[0]] = k[0]*F[49,x,k[0]]
F[70,x,k[0]] = F[10,x]*F[7,x,k[0]]
F[71,x,k[0]] = F[10,x]*F[23,x,k[0]]
F[72,x] = F[73,x,1]
F[73,x,k[0]] = k[0]*F[40,x,k[0]]
F[74,x] = F[10,x]*F[20,x]
F[75,x] = F[76,x,1]
F[77,x,k[0]] = (F[76,x,k[0]]-F[76,x,1])/(-1+k[0])
F[78,x,k[0]] = F[22,x,k[0]]+F[77,x,k[0]]
F[78,x,k[0]] = 1/(-1+k[0])*(F[22,x,k[0]]*k[0]-F[22,x,1])
F[79,x] = F[10,x]*F[16,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{79}\! \left(x \right)
F_{5}\! \left(x \right) = F_{10}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x , 1\right)
F_{7}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{11}\! \left(x , y\right)+F_{67}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = -\frac{-F_{7}\! \left(x , y\right) y +F_{7}\! \left(x , 1\right)}{-1+y}
F_{10}\! \left(x \right) = x
F_{11}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = -\frac{-F_{13}\! \left(x , y\right) y +F_{13}\! \left(x , 1\right)}{-1+y}
F_{13}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{15}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{16}\! \left(x \right) = F_{13}\! \left(x , 1\right)
F_{17}\! \left(x , y\right) = y F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = -F_{75}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x , 1\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{24}\! \left(x , y\right)+F_{74}\! \left(x \right)
F_{24}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{72}\! \left(x \right)
F_{26}\! \left(x , y\right) = -\frac{-F_{27}\! \left(x , y\right) y +F_{27}\! \left(x , 1\right)}{-1+y}
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{32}\! \left(x , y\right) = -\frac{-F_{23}\! \left(x , y\right) y +F_{23}\! \left(x , 1\right)}{-1+y}
F_{33}\! \left(x \right) = F_{34}\! \left(x , 1\right)
F_{34}\! \left(x , y\right) = y F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = 2 F_{36}\! \left(x \right)+F_{37}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{36}\! \left(x \right) = 0
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = -\frac{-y F_{40}\! \left(x , y\right)+F_{40}\! \left(x , 1\right)}{-1+y}
F_{40}\! \left(x , y\right) = F_{36}\! \left(x \right)+F_{41}\! \left(x , y\right)+F_{42}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = -\frac{-y F_{35}\! \left(x , y\right)+F_{35}\! \left(x , 1\right)}{-1+y}
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{49}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{51}\! \left(x , y\right)+F_{64}\! \left(x , y\right)+F_{67}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{51}\! \left(x , y\right)+F_{55}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{23}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x \right)+F_{58}\! \left(x , y\right)
F_{57}\! \left(x \right) = F_{15}\! \left(x , 1\right)
F_{58}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = y F_{53}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = y x
F_{63}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{13}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{18}\! \left(x \right)
F_{67}\! \left(x , y\right) = F_{62}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = y F_{49}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{7}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{23}\! \left(x , y\right)
F_{72}\! \left(x \right) = F_{73}\! \left(x , 1\right)
F_{73}\! \left(x , y\right) = y F_{40}\! \left(x , y\right)
F_{74}\! \left(x \right) = F_{10}\! \left(x \right) F_{20}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x , 1\right)
F_{77}\! \left(x , y\right) = -\frac{-F_{76}\! \left(x , y\right)+F_{76}\! \left(x , 1\right)}{-1+y}
F_{78}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = -\frac{-y F_{22}\! \left(x , y\right)+F_{22}\! \left(x , 1\right)}{-1+y}
F_{79}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_10(x)*F_4(x))
Eq(F_4(x), F_1(x) + F_5(x) + F_79(x))
Eq(F_5(x), F_10(x)*F_6(x))
Eq(F_6(x), F_7(x, 1))
Eq(F_7(x, k_0), F_1(x) + F_11(x, k_0) + F_67(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_10(x)*F_9(x, k_0))
Eq(F_9(x, k_0), (k_0*F_7(x, k_0) - F_7(x, 1))/(k_0 - 1))
Eq(F_10(x), x)
Eq(F_11(x, k_0), F_10(x)*F_12(x, k_0))
Eq(F_12(x, k_0), (k_0*F_13(x, k_0) - F_13(x, 1))/(k_0 - 1))
Eq(F_13(x, k_0), F_1(x) + F_14(x, k_0) + F_59(x, k_0) + F_8(x, k_0))
Eq(F_14(x, k_0), F_10(x)*F_15(x, k_0))
Eq(F_15(x, k_0), F_16(x) + F_17(x, k_0))
Eq(F_16(x), F_13(x, 1))
Eq(F_17(x, k_0), k_0*F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_10(x)*F_20(x))
Eq(F_20(x), F_21(x) - F_75(x))
Eq(F_21(x), F_22(x, 1))
Eq(F_22(x, k_0), F_23(x, k_0) + F_35(x, k_0))
Eq(F_23(x, k_0), F_13(x, k_0) + F_24(x, k_0) + F_74(x))
Eq(F_24(x, k_0), F_10(x)*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_72(x))
Eq(F_26(x, k_0), (k_0*F_27(x, k_0) - F_27(x, 1))/(k_0 - 1))
Eq(F_27(x, k_0), F_28(x, k_0) + F_29(x, k_0) + F_7(x, k_0))
Eq(F_28(x, k_0), F_24(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_10(x)*F_31(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0) + F_33(x))
Eq(F_32(x, k_0), (k_0*F_23(x, k_0) - F_23(x, 1))/(k_0 - 1))
Eq(F_33(x), F_34(x, 1))
Eq(F_34(x, k_0), k_0*F_35(x, k_0))
Eq(F_35(x, k_0), 2*F_36(x) + F_37(x, k_0) + F_71(x, k_0))
Eq(F_36(x), 0)
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_10(x)*F_39(x, k_0))
Eq(F_39(x, k_0), (k_0*F_40(x, k_0) - F_40(x, 1))/(k_0 - 1))
Eq(F_40(x, k_0), F_36(x) + F_41(x, k_0) + F_42(x, k_0) + F_45(x, k_0))
Eq(F_41(x, k_0), F_37(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_10(x)*F_44(x, k_0))
Eq(F_44(x, k_0), (k_0*F_35(x, k_0) - F_35(x, 1))/(k_0 - 1))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_10(x)*F_47(x, k_0))
Eq(F_48(x, k_0), F_10(x)*F_47(x, k_0))
Eq(F_48(x, k_0), F_49(x, k_0))
Eq(F_50(x, k_0), F_49(x, k_0) + F_7(x, k_0))
Eq(F_50(x, k_0), F_1(x) + F_51(x, k_0) + F_64(x, k_0) + F_67(x, k_0) + F_70(x, k_0))
Eq(F_52(x, k_0), F_1(x) + F_51(x, k_0) + F_55(x, k_0) + F_59(x, k_0) + F_63(x, k_0))
Eq(F_52(x, k_0), F_13(x, k_0) + F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_10(x)*F_23(x, k_0))
Eq(F_55(x, k_0), F_10(x)*F_56(x, k_0))
Eq(F_56(x, k_0), F_57(x) + F_58(x, k_0))
Eq(F_57(x), F_15(x, 1))
Eq(F_58(x, k_0), F_17(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0)*F_62(x, k_0))
Eq(F_60(x, k_0), F_13(x, k_0) + F_61(x, k_0))
Eq(F_61(x, k_0), k_0*F_53(x, k_0))
Eq(F_62(x, k_0), k_0*x)
Eq(F_63(x, k_0), F_10(x)*F_13(x, k_0))
Eq(F_64(x, k_0), F_10(x)*F_65(x, k_0))
Eq(F_65(x, k_0), F_12(x, k_0) + F_66(x, k_0))
Eq(F_66(x, k_0), F_18(x))
Eq(F_67(x, k_0), F_62(x, k_0)*F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0) + F_7(x, k_0))
Eq(F_69(x, k_0), k_0*F_49(x, k_0))
Eq(F_70(x, k_0), F_10(x)*F_7(x, k_0))
Eq(F_71(x, k_0), F_10(x)*F_23(x, k_0))
Eq(F_72(x), F_73(x, 1))
Eq(F_73(x, k_0), k_0*F_40(x, k_0))
Eq(F_74(x), F_10(x)*F_20(x))
Eq(F_75(x), F_76(x, 1))
Eq(F_77(x, k_0), -F_76(x, k_0) + (k_0*F_76(x, k_0) - F_76(x, 1))/(k_0 - 1))
Eq(F_78(x, k_0), F_22(x, k_0) + F_77(x, k_0))
Eq(F_78(x, k_0), (k_0*F_22(x, k_0) - F_22(x, 1))/(k_0 - 1))
Eq(F_79(x), F_10(x)*F_16(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[2, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 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