02143_02413_04213_20143_20413_21043_21403_24013_24103_40213_42013_42103
Counting sequence:
1, 1, 2, 6, 24, 108, 512, 2498, 12410, 62410, 316576, 1615962, 8287620, 42657584, 220184686, 1139068350, 5903296104, 30639130652, 159214569482, 828180601878, 4311541554800, 22462004362692, 117091830577516, 610701363646246, 3186573921462074, 16633581222489538, 86854484514107972, 453654197305871838, 2370107843874686820, 12385352245321407240, 64734262598500139524, 338404195151444255738, 1769311921796870901930, 9251939262070723430826, 48385404236070280898884, 253071680059338323622698, 1323778535801034545952432, 6925089171320009238365028, 36230122616742189468544000, 189559359378543845192741030, 991856028098724057134850270, 5190119244560396611618681710, 27159948360582435131553861760, 142135092458961376250959757390, 743862316577954579474724351660, 3893148383801095259298804671280, 20376283655368012776414858850150, 106650584937096703217787400605770, 558231714511643842565337207955140, 2921982766695413337926506301315160, 15295076768353859150786550800792386, 80063693779207493185125625341658082, 419110657546530393913513217265880320, 2193967318765082588664738843270427404, 11485219162935874678417348866385892756, 60125054230011131974053452803794400058, 314759009756920007386796670394145598710, 1647808878101725035297706282159344933262, 8626626882677695749862839144564268103164, 45162738510354793459911262384729301492706, 236441772482643408481918280163975269234756, 1237862678647095308197665012836591833792016, 6480741920870316499385962553285175223674302, 33929751421507153090666541605691228177496686, 177639705436127080391583194553969302898228264, 930042022535767476606349843915506396057363580, 4869316753711993329890888059485237675553723306, 25493895051085768497746222794828815225636757798, 133477134528561805404468732242206464725937301488, 698843431548969344246222171512816775315493154852, 3658938115785188093913334551234776540897082479920, 19157209551143616876244453581646248362449555614118, 100302394555927067742546124497597897293502002008094, 525160540339744242115653632850052842667543445480494, 2749631431725090978995182927927935177188190296312336, 14396548346140488237979520723729467584218452172725230, 75377837032748003527561145773889447575779668449661964, 394666496808995976195124466769304324304609966022780432, 2066417443705621039382498173604700289514361618034091642, 10819494837494208562882656176213011130114229606543651578, 56649614420838483000727743353032133897955211816357601960, 296611449190844291117639536504179337557747492654746565412, 1553029751479154410653129856010178694116880345374405557806, 8131534173516203028795339285834359252700861991525301063106, 42576112185176459278662857638994579629025994006737819798544, 222925758447184912488746128199197548713715140611300528340300, 1167226654451514044795938470620357253072842893828894026154516, 6111541800022351618507019949871850002005389231381686175378898, 31999779118548104166732459374112083499879040605281799196090398, 167549732652236911417113363585720386634660860890381165324369622, 877285650042245418964229476767958651699910572528608012681129340, 4593448011638329342240972844722658296601254749581806366157502138, 24051216454080976097925890370571602345027013662307483659606975804, 125931889653815546935143617585426953823922968635891073186583129224, 659378523322774556676098357809862066191775065727255747048404199896, 3452504500187095174667172662153492867924165090289021556635348348510, 18077320725206816795059671470869961518764087963263841751705579815114, 94652961115438619530242734343134659680131160488635820772831083064962, 495603833903009912378856310824738726025456843443681618947286778551712, 2594988280815596696495251801293614587146846901019218906122635504533278, 13587401766308091247400797800956420913974042476941035633004699544462320
Specification 1
Strategy pack name: row_placements_tracked_fusion
Tree: http://permpal.com/tree/24265/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[19,x]*F[3,x]
F[3,x] = F[1,x]+F[4,x]+F[68,x]
F[4,x] = F[19,x]*F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[1,x]+F[57,x,k[0]]+F[59,x,k[0]]+F[7,x,k[0]]
F[7,x,k[0]] = F[19,x]*F[8,x,k[0]]
F[8,x,k[0]] = 1/(-1+k[0])*(F[9,x,k[0]]*k[0]-F[9,x,1])
F[9,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[47,x,k[0]]+F[55,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[19,x]
F[11,x,k[0]] = F[1,x]+F[12,x]+F[42,x,k[0]]+F[43,x,k[0]]+F[45,x,k[0]]
F[12,x] = -F[1,x]-F[13,x]-F[37,x]+F[5,x]
F[13,x] = F[14,x,1]
F[14,x,k[0]] = F[15,x,k[0]]*F[19,x]
F[15,x,k[0]] = F[1,x]+F[16,x,k[0]]+F[28,x,k[0]]+F[30,x,k[0]]+F[32,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x]*F[19,x]*F[20,x,k[0]]
F[18,x] = F[9,x,1]
F[19,x] = x
F[20,x,k[0]] = 1/(-1+k[0])*(F[21,x,k[0]]*k[0]-F[21,x,1])
F[21,x,k[0]] = F[1,x]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]*F[25,x,k[0]]
F[23,x,k[0]] = F[1,x]+F[24,x,k[0]]+F[26,x,k[0]]
F[24,x,k[0]] = F[23,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = k[0]*x
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[21,x,k[0]]*F[23,x,k[0]]*F[25,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[19,x]*F[20,x,k[0]]*F[5,x]
F[30,x,k[0]] = F[19,x]*F[31,x,k[0]]
F[31,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[32,x,k[0]] = F[25,x,k[0]]*F[33,x,k[0]]
F[33,x,k[0]] = F[1,x]+F[24,x,k[0]]+F[34,x,k[0]]+F[35,x,k[0]]
F[34,x,k[0]] = F[19,x]*F[33,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[21,x,k[0]]*F[25,x,k[0]]*F[33,x,k[0]]
F[37,x] = F[38,x]
F[38,x] = F[19,x]*F[39,x]*F[5,x]
F[39,x] = F[1,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[39,x]^2*F[19,x]
F[42,x,k[0]] = F[19,x]*F[31,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[19,x]*F[20,x,k[0]]*F[5,x]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[11,x,k[0]]*F[21,x,k[0]]*F[25,x,k[0]]
F[47,x,k[0]] = F[19,x]*F[48,x,k[0]]
F[48,x,k[0]] = F[1,x]+F[49,x]+F[50,x]+F[51,x,k[0]]+F[53,x,k[0]]
F[49,x] = F[10,x,1]
F[50,x] = F[47,x,1]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = F[18,x]*F[19,x]*F[20,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[21,x,k[0]]*F[25,x,k[0]]*F[48,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[21,x,k[0]]*F[25,x,k[0]]*F[9,x,k[0]]
F[57,x,k[0]] = F[19,x]*F[58,x,k[0]]
F[58,x,k[0]] = 1/(-1+k[0])*(F[6,x,k[0]]*k[0]-F[6,x,1])
F[60,x,k[0]] = F[1,x]+F[59,x,k[0]]+F[64,x,k[0]]+F[67,x,k[0]]
F[60,x,k[0]] = F[1,x]+F[61,x,k[0]]+F[62,x,k[0]]+F[65,x,k[0]]
F[61,x,k[0]] = F[19,x]*F[60,x,k[0]]
F[62,x,k[0]] = F[19,x]*F[63,x,k[0]]
F[63,x,k[0]] = F[1,x]+F[32,x,k[0]]+F[64,x,k[0]]
F[64,x,k[0]] = F[19,x]*F[63,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]
F[66,x,k[0]] = F[21,x,k[0]]*F[25,x,k[0]]*F[60,x,k[0]]
F[67,x,k[0]] = F[19,x]*F[60,x,k[0]]
F[68,x] = F[18,x]*F[19,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_{19}\! \left(x \right) F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)+F_{68}\! \left(x \right)
F_{4}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{57}\! \left(x , y\right)+F_{59}\! \left(x , y\right)+F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = -\frac{-y F_{9}\! \left(x , y\right)+F_{9}\! \left(x , 1\right)}{-1+y}
F_{9}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y\right)+F_{47}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{19}\! \left(x \right)
F_{11}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)+F_{42}\! \left(x , y\right)+F_{43}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{12}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{13}\! \left(x \right)-F_{37}\! \left(x \right)+F_{5}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x , 1\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_{1}\! \left(x \right)+F_{16}\! \left(x , y\right)+F_{28}\! \left(x , y\right)+F_{30}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x \right) F_{19}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{18}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x , y\right) = -\frac{-y F_{21}\! \left(x , y\right)+F_{21}\! \left(x , 1\right)}{-1+y}
F_{21}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = y x
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{23}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{20}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{30}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = -\frac{-y F_{15}\! \left(x , y\right)+F_{15}\! \left(x , 1\right)}{-1+y}
F_{32}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y\right)+F_{34}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{33}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{33}\! \left(x , y\right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{19}\! \left(x \right) F_{39}\! \left(x \right) F_{5}\! \left(x \right)
F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{39} \left(x \right)^{2} F_{19}\! \left(x \right)
F_{42}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{20}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{49}\! \left(x \right)+F_{50}\! \left(x \right)+F_{51}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{10}\! \left(x , 1\right)
F_{50}\! \left(x \right) = F_{47}\! \left(x , 1\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{18}\! \left(x \right) F_{19}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = -\frac{-y F_{6}\! \left(x , y\right)+F_{6}\! \left(x , 1\right)}{-1+y}
F_{60}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{59}\! \left(x , y\right)+F_{64}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{61}\! \left(x , y\right)+F_{62}\! \left(x , y\right)+F_{65}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{32}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{60}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{19}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{68}\! \left(x \right) = F_{18}\! \left(x \right) F_{19}\! \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_19(x)*F_3(x))
Eq(F_3(x), F_1(x) + F_4(x) + F_68(x))
Eq(F_4(x), F_19(x)*F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_1(x) + F_57(x, k_0) + F_59(x, k_0) + F_7(x, k_0))
Eq(F_7(x, k_0), F_19(x)*F_8(x, k_0))
Eq(F_8(x, k_0), (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_9(x, k_0), F_1(x) + F_10(x, k_0) + F_47(x, k_0) + F_55(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_19(x))
Eq(F_11(x, k_0), F_1(x) + F_12(x) + F_42(x, k_0) + F_43(x, k_0) + F_45(x, k_0))
Eq(F_12(x), -F_1(x) - F_13(x) - F_37(x) + F_5(x))
Eq(F_13(x), F_14(x, 1))
Eq(F_14(x, k_0), F_15(x, k_0)*F_19(x))
Eq(F_15(x, k_0), F_1(x) + F_16(x, k_0) + F_28(x, k_0) + F_30(x, k_0) + F_32(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x)*F_19(x)*F_20(x, k_0))
Eq(F_18(x), F_9(x, 1))
Eq(F_19(x), x)
Eq(F_20(x, k_0), (k_0*F_21(x, k_0) - F_21(x, 1))/(k_0 - 1))
Eq(F_21(x, k_0), F_1(x) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0)*F_25(x, k_0))
Eq(F_23(x, k_0), F_1(x) + F_24(x, k_0) + F_26(x, k_0))
Eq(F_24(x, k_0), F_23(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), k_0*x)
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_21(x, k_0)*F_23(x, k_0)*F_25(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_29(x, k_0), F_19(x)*F_20(x, k_0)*F_5(x))
Eq(F_30(x, k_0), F_19(x)*F_31(x, k_0))
Eq(F_31(x, k_0), (k_0*F_15(x, k_0) - F_15(x, 1))/(k_0 - 1))
Eq(F_32(x, k_0), F_25(x, k_0)*F_33(x, k_0))
Eq(F_33(x, k_0), F_1(x) + F_24(x, k_0) + F_34(x, k_0) + F_35(x, k_0))
Eq(F_34(x, k_0), F_19(x)*F_33(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_21(x, k_0)*F_25(x, k_0)*F_33(x, k_0))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_19(x)*F_39(x)*F_5(x))
Eq(F_39(x), F_1(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_19(x)*F_39(x)**2)
Eq(F_42(x, k_0), F_19(x)*F_31(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_19(x)*F_20(x, k_0)*F_5(x))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_11(x, k_0)*F_21(x, k_0)*F_25(x, k_0))
Eq(F_47(x, k_0), F_19(x)*F_48(x, k_0))
Eq(F_48(x, k_0), F_1(x) + F_49(x) + F_50(x) + F_51(x, k_0) + F_53(x, k_0))
Eq(F_49(x), F_10(x, 1))
Eq(F_50(x), F_47(x, 1))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), F_18(x)*F_19(x)*F_20(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_21(x, k_0)*F_25(x, k_0)*F_48(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_21(x, k_0)*F_25(x, k_0)*F_9(x, k_0))
Eq(F_57(x, k_0), F_19(x)*F_58(x, k_0))
Eq(F_58(x, k_0), (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_60(x, k_0), F_1(x) + F_59(x, k_0) + F_64(x, k_0) + F_67(x, k_0))
Eq(F_60(x, k_0), F_1(x) + F_61(x, k_0) + F_62(x, k_0) + F_65(x, k_0))
Eq(F_61(x, k_0), F_19(x)*F_60(x, k_0))
Eq(F_62(x, k_0), F_19(x)*F_63(x, k_0))
Eq(F_63(x, k_0), F_1(x) + F_32(x, k_0) + F_64(x, k_0))
Eq(F_64(x, k_0), F_19(x)*F_63(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0))
Eq(F_66(x, k_0), F_21(x, k_0)*F_25(x, k_0)*F_60(x, k_0))
Eq(F_67(x, k_0), F_19(x)*F_60(x, k_0))
Eq(F_68(x), F_18(x)*F_19(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "place_col": false, "place_row": true, "strategy_class": "RowAndColumnPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "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", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "row_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [0, 4, 2, 1, 3], "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": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 2, 1, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 1, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 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[3, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 4, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[2, 0]]}]]}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [1, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 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