01234_01243_01324_02314_10234_10243_10324
Counting sequence:
1, 1, 2, 6, 24, 113, 583, 3187, 18136, 106283, 636914, 3884242, 24025361, 150347654, 950111874, 6054457026, 38859778080, 250985882845, 1630025775629, 10638108946933, 69731941683078, 458885086516537, 3030515909794314, 20078351645150454, 133418363737946725, 888939117137343667, 5937492950259706123, 39748954278128023546, 266664984292137668627, 1792495702809136608654, 12070996795257050034259, 81426919568581726941092, 550154770529206850521337, 3722634782531716840051522, 25224657295349477890938864, 171148671715271252209457756, 1162685923660660033339735065, 7907912813026290661155835305, 53844866518141693057533212452, 367015406904612851921624441543, 2504138764516940471283878616207, 17101921149853630244218705491717, 116902479050264565336180674378071, 799790411143711529594630238063600, 5476271332634748319070657418858161, 37526135572116375598239432568318287, 257340271864990745479297280598590159, 1766007674211470539307161666057696268, 12127607401401261004575906356048330927, 83337986433700502934065698104868598381, 573039533483217975330538487929937482740, 3942656566319099562078752484646268040100, 27142247866225944634662068809258666494336, 186958616634526334388307975899163115414267, 1288483401789755682482830000550030419475247, 8884586210073804785840166045816407267671474, 61293222533367400447273749875027898686300075, 423055017991767228746821228525129165780812055, 2921346505886249916513393988816558803403166627, 20181998938593486349862881937091402847912235575, 139486951101884627435900522185425407055979456805, 964461776763543234792177356317587988351441282009, 6671331840106676201306448656735087743509162503602, 46164749795310694729199395239600557008954110305507, 319575482356797379607733922249240209601667785471211, 2213075864906766239020095263738618647841724360913853, 15331128614863526915376982486833433856837894416618040, 106243469697778533370511329980859616334092039939593532, 736505821015372438325443293974900608599682645081323569, 5107303485280875271060980727328655669640869469295264845, 35427833843355830997969222282027787986296553353763172307, 245827842596785614573982328335733805133460999611662959339, 1706268315946134925448898679510143443102327857917439042457, 11846492239395148250313260839073260234655395450715258744664, 82272551528353412588559340199798286967918880703691412093437, 571530741119893217020664172668890453879540901172123794527678, 3971371221238503333295307419131061591562228005326569983732114, 27602891871260000008152222712470063611408134208182719714639617, 191901762065978074417072398565391379602781624754526069413694214, 1334476099698510196452278949572484813144171453769283318996813798, 9282124393972446691211268367869438328690626167517986792161562750, 64578225081603727012913680155972964671381085287419824333695223044, 449391077873062170899202524924281999578323519651255913406409007389, 3127951322490725313567291354960789840876372490106158988278154144711, 21776615824979673554593353053156210167087931500271315492019520542846, 151639870416827214794589956550915457111925773328751844427319030624659, 1056153052370330513133579565355812409859386764474742645038609492039230, 7357472612468007630301054678433599579911530988621415634099384709862829, 51264504806243900213529045220284462875659980952747969688474185270675749, 357263986485680272131485588505909893678523388436963488383682502966621848, 2490257082137422913995061493554360738954900173547274815467877376977338160, 17361201237202016609565588651891087661986936039158564794704987004649401983, 121058206202104172376870162731347364732418816420811973560688535759643914035, 844278760820783880499213874736271854827071757927558684567871837823581211464, 5889155276979296408616289542663527360395826867992624086999645415736404682483, 41086018399553897431403314335487443464769090326733993468725741196733510621478, 286686647093330909082173507320665778580940034107628751654274132681212990132092, 2000744950939891002149591150049996422730706263366673854752941150008560053027956, 13965143157196565626312621208536892688859636252470180553505433154156321457257025, 97491564658964807506926131048065619491397038671661017698562304091846875482077548, 680699302354289580790889987626998170928821759721898456014104064646516177881900509
Specification 1
Strategy pack name: col_placements_tracked_fusion
Tree: http://permpal.com/tree/24128/
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[4,x]
F[3,x] = x
F[4,x] = F[1,x]+F[5,x]+F[52,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[7,x,1]
F[7,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[48,x,k[0]]+F[8,x,k[0]]
F[8,x,k[0]] = F[3,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,k[0]] = F[11,x,k[0]]*F[3,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[12,x,k[0]]*k[0]-F[12,x,1])
F[12,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[13,x,k[0]]+F[8,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = F[17,x,k[0]*k[1],k[1]]
F[17,x,k[0],k[1]] = F[1,x]+F[10,x,k[0]]+F[13,x,k[0]]+F[18,x,k[0],k[1]]+F[51,x,k[1],k[0]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[3,x]
F[19,x,k[0],k[1]] = 1/(-1+k[0])*(F[20,x,k[0],k[1]]*k[0]-F[20,x,1,k[1]])
F[20,x,k[0],k[1]] = F[1,x]+F[21,x,k[0],k[1]]+F[46,x,k[0],k[1]]+F[48,x,k[0]]+F[50,x,k[1],k[0]]
F[21,x,k[0],k[1]] = F[22,x,k[0],k[1]]*F[3,x]
F[22,x,k[0],k[1]] = F[23,x,1,k[0],k[1]]
F[23,x,k[0],k[1],k[2]] = F[1,x]+F[24,x,k[0],k[1],k[2]]+F[26,x,k[0],k[1],k[2]]+F[37,x,k[0],k[1],k[2]]+F[41,x,k[1],k[0]]+F[44,x,k[2],k[0],k[1]]
F[24,x,k[0],k[1],k[2]] = F[25,x,k[0],k[1],k[2]]*F[3,x]
F[25,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[23,x,k[0],k[1],k[2]]*k[0]-F[23,x,1,k[1],k[2]])
F[26,x,k[0],k[1],k[2]] = F[27,x,k[0],k[1],k[2]]*F[3,x]
F[27,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[28,x,k[0],k[1],k[2]]*k[0]-F[28,x,1,k[1],k[2]])
F[28,x,k[0],k[1],k[2]] = F[1,x]+F[24,x,k[0],k[1],k[2]]+F[26,x,k[0],k[1],k[2]]+F[29,x,k[0],k[1],k[2]]+F[33,x,k[1],k[0]]+F[35,x,k[2],k[0],k[1]]
F[29,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[30,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = (F[31,x,k[0],k[1]]*k[1]-F[31,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[31,x,k[0],k[1]] = (F[32,x,k[0],1]*k[0]-F[32,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[32,x,k[0],k[1]] = F[17,x,k[0],k[0]*k[1]]
F[33,x,k[0],k[1]] = F[14,x,k[0]]*F[34,x,k[1],k[0]]
F[34,x,k[0],k[1]] = (-F[16,x,1,k[1]]*k[1]+F[16,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[35,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[36,x,k[1],k[2]]
F[36,x,k[0],k[1]] = (F[12,x,k[0]]*k[0]-F[12,x,k[1]]*k[1])/(-k[1]+k[0])
F[37,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[38,x,k[0],k[1],k[2]]
F[38,x,k[0],k[1],k[2]] = (F[39,x,k[0],k[1]]*k[1]-F[39,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[39,x,k[0],k[1]] = (F[40,x,k[0],1]*k[0]-F[40,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[40,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
F[41,x,k[0],k[1]] = F[14,x,k[0]]*F[42,x,k[1],k[0]]
F[42,x,k[0],k[1]] = (-F[43,x,1,k[1]]*k[1]+F[43,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[43,x,k[0],k[1]] = F[20,x,k[0]*k[1],k[1]]
F[44,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[45,x,k[1],k[2]]
F[45,x,k[0],k[1]] = (F[7,x,k[0]]*k[0]-F[7,x,k[1]]*k[1])/(-k[1]+k[0])
F[46,x,k[0],k[1]] = F[3,x]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[28,x,1,k[0],k[1]]
F[48,x,k[0]] = F[14,x,k[0]]*F[49,x,k[0]]
F[49,x,k[0]] = F[43,x,1,k[0]]
F[50,x,k[0],k[1]] = F[14,x,k[0]]*F[7,x,k[1]]
F[51,x,k[0],k[1]] = F[12,x,k[1]]*F[14,x,k[0]]
F[52,x] = F[3,x]*F[53,x]
F[53,x] = F[12,x,1]
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_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{52}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x , 1\right)
F_{7}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y_{0}\right)+F_{48}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = \frac{y_{0} F_{7}\! \left(x , y_{0}\right)-F_{7}\! \left(x , 1\right)}{-1+y_{0}}
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{11}\! \left(x , y_{0}\right) = \frac{y_{0} F_{12}\! \left(x , y_{0}\right)-F_{12}\! \left(x , 1\right)}{-1+y_{0}}
F_{12}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y_{0}\right)+F_{13}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{15}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} x
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y_{0}\right)+F_{13}\! \left(x , y_{0}\right)+F_{18}\! \left(x , y_{0}, y_{1}\right)+F_{51}\! \left(x , y_{1}, y_{0}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right) F_{3}\! \left(x \right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{20}\! \left(x , y_{0}, y_{1}\right)-F_{20}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{21}\! \left(x , y_{0}, y_{1}\right)+F_{46}\! \left(x , y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{0}\right)+F_{50}\! \left(x , y_{1}, y_{0}\right)
F_{21}\! \left(x , y_{0}, y_{1}\right) = F_{22}\! \left(x , y_{0}, y_{1}\right) F_{3}\! \left(x \right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , 1, y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{41}\! \left(x , y_{1}, y_{0}\right)+F_{44}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{3}\! \left(x \right)
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)-F_{23}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{3}\! \left(x \right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right)-F_{28}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{33}\! \left(x , y_{1}, y_{0}\right)+F_{35}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} F_{31}\! \left(x , y_{0}, y_{1}\right)-y_{2} F_{31}\! \left(x , y_{0}, y_{2}\right)}{-y_{2}+y_{1}}
F_{31}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{32}\! \left(x , y_{0}, 1\right)-y_{1} F_{32}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)}{-y_{1}+y_{0}}
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{33}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{34}\! \left(x , y_{1}, y_{0}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = \frac{-y_{1} F_{16}\! \left(x , 1, y_{1}\right)+y_{0} F_{16}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)}{-y_{1}+y_{0}}
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{1}, y_{2}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{12}\! \left(x , y_{0}\right)-y_{1} F_{12}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} F_{39}\! \left(x , y_{0}, y_{1}\right)-y_{2} F_{39}\! \left(x , y_{0}, y_{2}\right)}{-y_{2}+y_{1}}
F_{39}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{40}\! \left(x , y_{0}, 1\right)-y_{1} F_{40}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)}{-y_{1}+y_{0}}
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{1}, y_{0}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = \frac{-y_{1} F_{43}\! \left(x , 1, y_{1}\right)+y_{0} F_{43}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)}{-y_{1}+y_{0}}
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{1}, y_{2}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{0} F_{7}\! \left(x , y_{0}\right)-y_{1} F_{7}\! \left(x , y_{1}\right)}{-y_{1}+y_{0}}
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , 1, y_{0}, y_{1}\right)
F_{48}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{43}\! \left(x , 1, y_{0}\right)
F_{50}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{7}\! \left(x , y_{1}\right)
F_{51}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{1}\right) F_{14}\! \left(x , y_{0}\right)
F_{52}\! \left(x \right) = F_{3}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x , 1\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)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_5(x) + F_52(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_7(x, 1))
Eq(F_7(x, k_0), F_1(x) + F_10(x, k_0) + F_48(x, k_0) + F_8(x, k_0))
Eq(F_8(x, k_0), F_3(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, k_0), F_11(x, k_0)*F_3(x))
Eq(F_11(x, k_0), (k_0*F_12(x, k_0) - F_12(x, 1))/(k_0 - 1))
Eq(F_12(x, k_0), F_1(x) + F_10(x, k_0) + F_13(x, k_0) + F_8(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), F_17(x, k_0*k_1, k_1))
Eq(F_17(x, k_0, k_1), F_1(x) + F_10(x, k_0) + F_13(x, k_0) + F_18(x, k_0, k_1) + F_51(x, k_1, k_0))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1)*F_3(x))
Eq(F_19(x, k_0, k_1), (k_0*F_20(x, k_0, k_1) - F_20(x, 1, k_1))/(k_0 - 1))
Eq(F_20(x, k_0, k_1), F_1(x) + F_21(x, k_0, k_1) + F_46(x, k_0, k_1) + F_48(x, k_0) + F_50(x, k_1, k_0))
Eq(F_21(x, k_0, k_1), F_22(x, k_0, k_1)*F_3(x))
Eq(F_22(x, k_0, k_1), F_23(x, 1, k_0, k_1))
Eq(F_23(x, k_0, k_1, k_2), F_1(x) + F_24(x, k_0, k_1, k_2) + F_26(x, k_0, k_1, k_2) + F_37(x, k_0, k_1, k_2) + F_41(x, k_1, k_0) + F_44(x, k_2, k_0, k_1))
Eq(F_24(x, k_0, k_1, k_2), F_25(x, k_0, k_1, k_2)*F_3(x))
Eq(F_25(x, k_0, k_1, k_2), (k_0*F_23(x, k_0, k_1, k_2) - F_23(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_26(x, k_0, k_1, k_2), F_27(x, k_0, k_1, k_2)*F_3(x))
Eq(F_27(x, k_0, k_1, k_2), (k_0*F_28(x, k_0, k_1, k_2) - F_28(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_28(x, k_0, k_1, k_2), F_1(x) + F_24(x, k_0, k_1, k_2) + F_26(x, k_0, k_1, k_2) + F_29(x, k_0, k_1, k_2) + F_33(x, k_1, k_0) + F_35(x, k_2, k_0, k_1))
Eq(F_29(x, k_0, k_1, k_2), F_14(x, k_0)*F_30(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), (-k_1*F_31(x, k_0, k_1) + k_2*F_31(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_31(x, k_0, k_1), (-k_0*F_32(x, k_0, 1) + k_1*F_32(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_32(x, k_0, k_1), F_17(x, k_0, k_0*k_1))
Eq(F_33(x, k_0, k_1), F_14(x, k_0)*F_34(x, k_1, k_0))
Eq(F_34(x, k_0, k_1), (-k_0*F_16(x, k_0/k_1, k_1) + k_1*F_16(x, 1, k_1))/(-k_0 + k_1))
Eq(F_35(x, k_0, k_1, k_2), F_14(x, k_0)*F_36(x, k_1, k_2))
Eq(F_36(x, k_0, k_1), (-k_0*F_12(x, k_0) + k_1*F_12(x, k_1))/(-k_0 + k_1))
Eq(F_37(x, k_0, k_1, k_2), F_14(x, k_0)*F_38(x, k_0, k_1, k_2))
Eq(F_38(x, k_0, k_1, k_2), (-k_1*F_39(x, k_0, k_1) + k_2*F_39(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_39(x, k_0, k_1), (-k_0*F_40(x, k_0, 1) + k_1*F_40(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_40(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Eq(F_41(x, k_0, k_1), F_14(x, k_0)*F_42(x, k_1, k_0))
Eq(F_42(x, k_0, k_1), (-k_0*F_43(x, k_0/k_1, k_1) + k_1*F_43(x, 1, k_1))/(-k_0 + k_1))
Eq(F_43(x, k_0, k_1), F_20(x, k_0*k_1, k_1))
Eq(F_44(x, k_0, k_1, k_2), F_14(x, k_0)*F_45(x, k_1, k_2))
Eq(F_45(x, k_0, k_1), (-k_0*F_7(x, k_0) + k_1*F_7(x, k_1))/(-k_0 + k_1))
Eq(F_46(x, k_0, k_1), F_3(x)*F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_28(x, 1, k_0, k_1))
Eq(F_48(x, k_0), F_14(x, k_0)*F_49(x, k_0))
Eq(F_49(x, k_0), F_43(x, 1, k_0))
Eq(F_50(x, k_0, k_1), F_14(x, k_0)*F_7(x, k_1))
Eq(F_51(x, k_0, k_1), F_12(x, k_1)*F_14(x, k_0))
Eq(F_52(x), F_3(x)*F_53(x))
Eq(F_53(x), F_12(x, 1))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "place_col": true, "place_row": false, "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": "col_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, 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, 3, 1, 4], "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": []}, "rules": [{"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": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "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, 3, 1, 4], "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": []}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.requirement_placement", "direction": 2, "gps": [{"patt": [0], "pos": [[0, 0]]}], "ignore_parent": false, "include_empty": true, "indices": [0], "own_col": true, "own_row": true, "strategy_class": "RequirementPlacementStrategy"}}, {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"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], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"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, 1], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"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], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "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, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "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, 1], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "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, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}], "requirements": []}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, 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