01234_01243_01342_02341_10234_10243_10342_20134_20143_30124
Counting sequence:
1, 1, 2, 6, 24, 110, 536, 2690, 13711, 70494, 364281, 1888200, 9805703, 50982966, 265278047, 1380993175, 7191547030, 37458162334, 195134116764, 1016628520545, 5296881277942, 27599296307314, 143810128929313, 749359922035471, 3904793759764899, 20347469684297948, 106029329230919230, 552514844520690031, 2879145056425697780, 15003214693243276057, 78181851005985488034, 407406712554594748816, 2123004180115724280693, 11063023466969801763934, 57649699253551319572463, 300414176893354176982638, 1565467015232163790797660, 8157695798176793718214957, 42510004900517928818197505, 221520972922502086692121608, 1154352849389961061308615787, 6015369830133664775079117624, 31346286998119705634978267742, 163346521767024237179008728539, 851204060642748637276706516756, 4435652238689501853228169601923, 23114329377075061420112540708285, 120449530002364043444287655132745, 627666463448468096463651017537565, 3270790606515812218426038102584916, 17044197601595984760793194596761995, 88817875437377547855151418029412904, 462832877057801955744656948996379005, 2411837384654070649793619207044753281, 12568164157739203313780749902862506389, 65493117998318514566824417464107377854, 341286798448196811380781867890249733709, 1778456766266972124568155590702714331567, 9267596886060842723549918976847052942127, 48293753153456901067769703107034666606094, 251660341160654024444518709838418601331010, 1311410341638374889715294862315053347559626, 6833802562629613937585261814097753612390415, 35611170650296838469827897695088006741602787, 185570985338871662287576909499775657285531497, 967016528024541495568643705477948499981075086, 5039155037062801146032388525734669714688282787, 26259203180371292328899666221096379990360416107, 136837574277631622872849129388659364655496944459, 713065114955133263051560144805037760877052907460, 3715805843938329141310891374310055604808982070410, 19363186868033229217989823881280678795090511419120, 100902205722120672803784924058608268126924715413505, 525804723624352850328868169999355673708855623602343, 2739985765504060703320014950998336453036069738084929, 14278156239133699036738668364155208637643981270920979, 74403943318288867771141604983995206465953482438767784, 387721403842445038296365757718626520734578490027870102, 2020429029609762156557023333699243763369416979858306147, 10528522344234064596113798572555481414638371075988054945, 54864477360291226620007456829314520203937307069005781656, 285900601965070566836937747819415699754012034889072538478, 1489837471106140595174775471361843348478151572060851309695, 7763592224208268458725195877441906874246022576331227832038, 40456335266589732252132726470814019000429732107484231099982, 210819298069181084182706378461484796515353956881133870274617, 1098586318941521374981698201347553624571546729591989195232610, 5724769559613709447921742595557465747039619211514143464202726, 29831963083481854270454734870627250529007609937198358132596262, 155455344035597278306428470638294122527121411413287957734945289, 810082927549873216978998044779736109341340204030428905535934066, 4221368866917309291922474905323465424586922432570121695336009733, 21997692464000202738832610550176794983256161954180502898580227706, 114630701318956114049650341347355188250121389944407181517750976887, 597344367204885051724069681718475526208673503642381093379506907476, 3112781208923836885745727859955363996942917841607257592769616797765, 16220805596558011510699755139066678380593242043552728995410864684887, 84527153224589767884894549572543739216025237003474195626669340221488, 440473784715686824022417528847955908087742475190184210821099328830223, 2295323427091594855928819407948691514569010704282119815192499761613033, 11961006120616658657840094582325795294240266736331244595609444187582344
Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24712/
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[19,x]*F[4,x]
F[4,x] = F[1,x]+F[5,x]+F[80,x]
F[5,x] = F[19,x]*F[6,x]
F[6,x] = F[7,x,1]
F[7,x,k[0]] = F[4,x]+F[8,x,k[0]]
F[8,x,k[0]] = F[10,x,k[0]]+F[63,x,k[0]]+F[79,x,k[0]]+F[9,x]
F[9,x] = 0
F[10,x,k[0]] = F[11,x,k[0]]*F[39,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[7,x,k[0]]
F[12,x,k[0]] = k[0]*F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[19,x]
F[15,x,k[0]] = F[16,x]+F[37,x,k[0]]
F[16,x] = F[17,x]
F[17,x] = F[0,x]+F[18,x]+F[76,x]
F[18,x] = F[19,x]*F[20,x]
F[19,x] = x
F[20,x] = F[21,x]
F[21,x] = F[22,x,1]
F[22,x,k[0]] = F[23,x]+F[45,x,k[0]]
F[23,x] = F[24,x]+F[4,x]+F[47,x]
F[24,x] = F[19,x]*F[25,x]
F[25,x] = F[26,x,1]
F[26,x,k[0]] = F[23,x]+F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]
F[29,x,k[0]] = -k[0]*(F[28,x,1]-F[28,x,k[0]])/(-1+k[0])
F[29,x,k[0]] = F[30,x,k[0]]
F[31,x,k[0]] = F[30,x,k[0]]+F[36,x,k[0]]
F[32,x,k[0]] = F[19,x]*F[31,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[34,x,k[0]] = F[33,x,k[0]]+F[8,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = -k[0]*(F[8,x,1]-F[8,x,k[0]])/(-1+k[0])
F[36,x,k[0]] = -k[0]*(F[37,x,1]-F[37,x,k[0]])/(-1+k[0])
F[37,x,k[0]] = F[38,x,k[0]]+F[40,x,k[0]]+F[42,x,k[0]]+F[9,x]
F[38,x,k[0]] = F[15,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = k[0]*x
F[40,x,k[0]] = F[19,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[36,x,k[0]]
F[42,x,k[0]] = F[19,x]*F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = -k[0]*(F[45,x,1]-F[45,x,k[0]])/(-1+k[0])
F[45,x,k[0]] = 2*F[9,x]+F[42,x,k[0]]+F[46,x,k[0]]
F[46,x,k[0]] = F[22,x,k[0]]*F[39,x,k[0]]
F[47,x] = F[48,x]
F[48,x] = F[19,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[24,x]+F[51,x]+F[65,x]+F[66,x]
F[51,x] = F[52,x,1]
F[52,x,k[0]] = F[4,x]+F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]+F[59,x,k[0]]+F[63,x,k[0]]+F[9,x]
F[54,x,k[0]] = F[39,x,k[0]]*F[55,x,k[0]]
F[55,x,k[0]] = F[52,x,k[0]]+F[56,x,k[0]]
F[56,x,k[0]] = k[0]*F[57,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[19,x]*F[22,x,k[0]]
F[59,x,k[0]] = F[19,x]*F[60,x,k[0]]
F[60,x,k[0]] = k[0]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[19,x]*F[25,x]
F[63,x,k[0]] = F[19,x]*F[64,x,k[0]]
F[64,x,k[0]] = -k[0]*(F[53,x,1]-F[53,x,k[0]])/(-1+k[0])
F[65,x] = F[46,x,1]
F[66,x] = F[67,x]
F[67,x] = F[19,x]*F[68,x]
F[68,x] = F[69,x]+F[75,x]
F[69,x] = F[70,x,1]
F[70,x,k[0]] = (F[71,x,k[0]]*k[0]-F[71,x,1])/(-1+k[0])
F[71,x,k[0]] = F[24,x]+F[52,x,k[0]]+F[65,x]+F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[19,x]*F[74,x,k[0]]
F[74,x,k[0]] = F[70,x,k[0]]+F[75,x]
F[75,x] = F[44,x,1]
F[76,x] = F[19,x]*F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[15,x,1]
F[79,x,k[0]] = F[19,x]*F[35,x,k[0]]
F[80,x] = F[19,x]*F[51,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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{80}\! \left(x \right)
F_{5}\! \left(x \right) = F_{19}\! \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_{4}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{79}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = 0
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = y F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{19}\! \left(x \right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x \right)+F_{37}\! \left(x , y\right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{0}\! \left(x \right)+F_{18}\! \left(x \right)+F_{76}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \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 \right)+F_{45}\! \left(x , y\right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{4}\! \left(x \right)+F_{47}\! \left(x \right)
F_{24}\! \left(x \right) = F_{19}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{26}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = -\frac{y \left(F_{28}\! \left(x , 1\right)-F_{28}\! \left(x , y\right)\right)}{-1+y}
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = -\frac{y \left(F_{8}\! \left(x , 1\right)-F_{8}\! \left(x , y\right)\right)}{-1+y}
F_{36}\! \left(x , y\right) = -\frac{y \left(F_{37}\! \left(x , 1\right)-F_{37}\! \left(x , y\right)\right)}{-1+y}
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{40}\! \left(x , y\right)+F_{42}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{38}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = y x
F_{40}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = -\frac{y \left(F_{45}\! \left(x , 1\right)-F_{45}\! \left(x , y\right)\right)}{-1+y}
F_{45}\! \left(x , y\right) = 2 F_{9}\! \left(x \right)+F_{42}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{22}\! \left(x , y\right) F_{39}\! \left(x , y\right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{24}\! \left(x \right)+F_{51}\! \left(x \right)+F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x , 1\right)
F_{52}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{54}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = y F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{22}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = y F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{19}\! \left(x \right) F_{25}\! \left(x \right)
F_{63}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = -\frac{y \left(F_{53}\! \left(x , 1\right)-F_{53}\! \left(x , y\right)\right)}{-1+y}
F_{65}\! \left(x \right) = F_{46}\! \left(x , 1\right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{19}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{75}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{70}\! \left(x , y\right) = -\frac{-y F_{71}\! \left(x , y\right)+F_{71}\! \left(x , 1\right)}{-1+y}
F_{71}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{52}\! \left(x , y\right)+F_{65}\! \left(x \right)+F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{76}\! \left(x \right) = F_{19}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{15}\! \left(x , 1\right)
F_{79}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{35}\! \left(x , y\right)
F_{80}\! \left(x \right) = F_{19}\! \left(x \right) F_{51}\! \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_19(x)*F_4(x))
Eq(F_4(x), F_1(x) + F_5(x) + F_80(x))
Eq(F_5(x), F_19(x)*F_6(x))
Eq(F_6(x), F_7(x, 1))
Eq(F_7(x, k_0), F_4(x) + F_8(x, k_0))
Eq(F_8(x, k_0), F_10(x, k_0) + F_63(x, k_0) + F_79(x, k_0) + F_9(x))
Eq(F_9(x), 0)
Eq(F_10(x, k_0), F_11(x, k_0)*F_39(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_7(x, k_0))
Eq(F_12(x, k_0), k_0*F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_19(x))
Eq(F_15(x, k_0), F_16(x) + F_37(x, k_0))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_0(x) + F_18(x) + F_76(x))
Eq(F_18(x), F_19(x)*F_20(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x, 1))
Eq(F_22(x, k_0), F_23(x) + F_45(x, k_0))
Eq(F_23(x), F_24(x) + F_4(x) + F_47(x))
Eq(F_24(x), F_19(x)*F_25(x))
Eq(F_25(x), F_26(x, 1))
Eq(F_26(x, k_0), F_23(x) + F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_29(x, k_0), -F_28(x, 1) + (k_0*F_28(x, k_0) - F_28(x, 1))/(k_0 - 1))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_31(x, k_0), F_30(x, k_0) + F_36(x, k_0))
Eq(F_32(x, k_0), F_19(x)*F_31(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_34(x, k_0), F_33(x, k_0) + F_8(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), -F_8(x, 1) + (-k_0*F_8(x, k_0) + F_8(x, 1))/(1 - k_0))
Eq(F_36(x, k_0), -F_37(x, 1) + (k_0*F_37(x, k_0) - F_37(x, 1))/(k_0 - 1))
Eq(F_37(x, k_0), F_38(x, k_0) + F_40(x, k_0) + F_42(x, k_0) + F_9(x))
Eq(F_38(x, k_0), F_15(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), k_0*x)
Eq(F_40(x, k_0), F_19(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_36(x, k_0))
Eq(F_42(x, k_0), F_19(x)*F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), -F_45(x, 1) + (k_0*F_45(x, k_0) - F_45(x, 1))/(k_0 - 1))
Eq(F_45(x, k_0), F_42(x, k_0) + F_46(x, k_0) + 2*F_9(x))
Eq(F_46(x, k_0), F_22(x, k_0)*F_39(x, k_0))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_19(x)*F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_24(x) + F_51(x) + F_65(x) + F_66(x))
Eq(F_51(x), F_52(x, 1))
Eq(F_52(x, k_0), F_4(x) + F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0) + F_59(x, k_0) + F_63(x, k_0) + F_9(x))
Eq(F_54(x, k_0), F_39(x, k_0)*F_55(x, k_0))
Eq(F_55(x, k_0), F_52(x, k_0) + F_56(x, k_0))
Eq(F_56(x, k_0), k_0*F_57(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_19(x)*F_22(x, k_0))
Eq(F_59(x, k_0), F_19(x)*F_60(x, k_0))
Eq(F_60(x, k_0), k_0*F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_19(x)*F_25(x))
Eq(F_63(x, k_0), F_19(x)*F_64(x, k_0))
Eq(F_64(x, k_0), -F_53(x, 1) + (-k_0*F_53(x, k_0) + F_53(x, 1))/(1 - k_0))
Eq(F_65(x), F_46(x, 1))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_19(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_75(x))
Eq(F_69(x), F_70(x, 1))
Eq(F_70(x, k_0), (-k_0*F_71(x, k_0) + F_71(x, 1))/(1 - k_0))
Eq(F_71(x, k_0), F_24(x) + F_52(x, k_0) + F_65(x) + F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_19(x)*F_74(x, k_0))
Eq(F_74(x, k_0), F_70(x, k_0) + F_75(x))
Eq(F_75(x), F_44(x, 1))
Eq(F_76(x), F_19(x)*F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_15(x, 1))
Eq(F_79(x, k_0), F_19(x)*F_35(x, k_0))
Eq(F_80(x), F_19(x)*F_51(x))
Pack JSON:
{"name": "point_and_col_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": false, "place_col": true}], [{"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, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "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, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 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, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 0], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 3]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 3]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 0], [0, 0], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 0], [0, 1], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 0], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 0], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 1], [0, 1], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 1], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 2], [0, 2], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [3, 0, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 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