************************************************************************ * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2013 The FindStatCrew * * * * This information is distributed in the hope that it will be * * useful, but WITHOUT ANY WARRANTY; without even the implied * * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ************************************************************************ ------------------------------------------------------------------------ Map identifier: Mp00129 ------------------------------------------------------------------------ Map name: to 321-avoiding permutation (Billey-Jockusch-Stanley) ------------------------------------------------------------------------ Domain: Dyck paths ------------------------------------------------------------------------ Codomain: Permutations ------------------------------------------------------------------------ Description: The Billey-Jockusch-Stanley bijection to 321-avoiding permutations. ------------------------------------------------------------------------ References: [1] Billey, S. C., Jockusch, W., Stanley, R. P. Some combinatorial properties of Schubert polynomials [[MathSciNet:1241505]] [2] Callan, D. Bijections from Dyck paths to 321-avoiding permutations revisited [[arXiv:0711.2684]] ------------------------------------------------------------------------ Code: def mapping(P): """ sage: sorted([mapping(D) for D in DyckWords(7)]) == sorted(Permutations(7, avoiding=[3,2,1])) True """ n = (len(P)//2) a = P.rise_composition() A = [1+sum(a[:i]) for i in range(1,len(a))] d = P.reverse().rise_composition().reversed() D = [sum(d[:i])-1 for i in range(1,len(a))] pi = [None]*n rest = list(range(1, n+1)) for (e,f) in zip(A, D): pi[f] = e rest.remove(e) i = 0 for e in rest: while pi[i] is not None: i += 1 pi[i] = e return Permutation(pi) ------------------------------------------------------------------------ Map images: [1,0] => [1] [1,0,1,0] => [2,1] [1,1,0,0] => [1,2] [1,0,1,0,1,0] => [2,3,1] [1,0,1,1,0,0] => [2,1,3] [1,1,0,0,1,0] => [1,3,2] [1,1,0,1,0,0] => [3,1,2] [1,1,1,0,0,0] => [1,2,3] [1,0,1,0,1,0,1,0] => [2,3,4,1] [1,0,1,0,1,1,0,0] => [2,3,1,4] [1,0,1,1,0,0,1,0] => [2,1,4,3] [1,0,1,1,0,1,0,0] => [2,4,1,3] [1,0,1,1,1,0,0,0] => [2,1,3,4] [1,1,0,0,1,0,1,0] => [1,3,4,2] [1,1,0,0,1,1,0,0] => [1,3,2,4] [1,1,0,1,0,0,1,0] => [3,1,4,2] [1,1,0,1,0,1,0,0] => [3,4,1,2] [1,1,0,1,1,0,0,0] => [3,1,2,4] [1,1,1,0,0,0,1,0] => [1,2,4,3] [1,1,1,0,0,1,0,0] => [1,4,2,3] [1,1,1,0,1,0,0,0] => [4,1,2,3] [1,1,1,1,0,0,0,0] => [1,2,3,4] [1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] [1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] [1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] [1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] [1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] [1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] [1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] [1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] [1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] [1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] [1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] [1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] [1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] [1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] [1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] [1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] [1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] [1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] [1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] [1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] [1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] [1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] [1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] [1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] [1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] [1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] [1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] [1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] [1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] [1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] [1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] [1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] [1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] [1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] [1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] [1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] [1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] [1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] [1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] [1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] [1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] [1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] [1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] [1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] [1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] [1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] [1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] [1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] [1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] [1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] [1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] [1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] [1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] [1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] [1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] [1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] [1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] [1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,1,7] [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,7,1,6] [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,1,6,7] [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,7,5] [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,7] [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,6,1,7,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,6,7,1,5] [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,6,1,5,7] [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,1,5,7,6] [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,5,6] [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,7,1,5,6] [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,6,7,4] [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,1,5,6,4,7] [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6] [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,7,4,6] [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,1,5,4,6,7] [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,5,1,6,7,4] [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,5,1,6,4,7] [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,5,6,1,7,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,1,4] [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,6,1,4,7] [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,7,6] [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,5,1,7,4,6] [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,7,1,4,6] [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,4,6,7,5] [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,4,6,5,7] [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,4,7,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,7,4,5] [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,6,1,4,7,5] [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,6,1,7,4,5] [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,6,7,1,4,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,3] [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,3,7] [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3,7,6] [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,5,7,3,6] [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,5,3,6,7] [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5] [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,7] [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5] [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,6,7,3,5] [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5,7] [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,5,7,6] [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,6] [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,7,3,5,6] [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,4,1,5,6,7,3] [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,5,6,3,7] [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,4,1,5,3,7,6] [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,5,7,3,6] [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,1,5,3,6,7] [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,1,6,7,3] [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,1,6,3,7] [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,1,7,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,1,3] [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,1,3,7] [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,1,3,7,6] [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,1,7,3,6] [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,7,1,3,6] [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,6,7,5] [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5,7] [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,6,3,7,5] [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,6,7,3,5] [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,6,1,3,7,5] [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,6,1,7,3,5] [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,6,7,1,3,5] [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,3,5,6,7,4] [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,3,5,6,4,7] [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6] [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,3,5,7,4,6] [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,7] [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,6,7,3,4] [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,5,1,3,6,7,4] [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,6,4,7] [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1,6,3,7,4] [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,5,1,6,7,3,4] [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,6,1,3,7,4] [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,5,6,1,7,3,4] [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,1,3,4] [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,2,7] [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6] [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,7,2,6] [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,2,6,7,5] [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,7] [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,6,2,7,5] [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,6,7,4] [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,6,4,7] [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6] [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,5,2,6,7,4] [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,2,7] [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,5,2,7,6] [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,4,5,7,2,6] [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,4,5,2,6,7] [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5] [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,7] [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5] [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,4,6,7,2,5] [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,6,2,5,7] [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,2,5,7,6] [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,6] [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,4,7,2,5,6] [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,1,5,6,7,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,5,6,2,7] [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,1,5,2,7,6] [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,5,7,2,6] [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,1,5,2,6,7] [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,1,6,7,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,4,5,1,6,2,7] [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,1,7,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,1,2] [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,1,2,7] [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,1,2,7,6] [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,1,7,2,6] [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,7,1,2,6] [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,1,2,6,7,5] [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5,7] [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,4,1,6,2,7,5] [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,6,7,2,5] [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,6,1,2,7,5] [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,6,1,7,2,5] [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,6,7,1,2,5] [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,5,6,7,4] [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,5,6,4,7] [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6] [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,7,4,6] [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,7] [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,5,6,7,2,4] [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,5,1,2,6,7,4] [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,6,4,7] [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1,6,2,7,4] [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,5,1,6,7,2,4] [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,5,6,1,2,7,4] [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,5,6,1,7,2,4] [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,1,2,4] [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,2,5,6,7,3] [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2,5,6,3,7] [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6] [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,5,7,3,6] [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,7] [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,5,6,7,2,3] [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,1,2,6,7,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,6,3,7] [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,1,6,2,7,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,1,6,7,2,3] [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,1,2,7,3] [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,1,7,2,3] [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,1,2,3] [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,1,8] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,8,1,7] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,6,1,7,8] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,5,1,7,8,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6,8] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,5,7,1,8,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,7,8,1,6] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,5,7,1,6,8] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,5,1,6,8,7] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,5,1,8,6,7] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,5,8,1,6,7] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1,6,7,8] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,4,1,6,7,8,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,4,1,6,7,5,8] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,8,7] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,8,5,7] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,4,1,6,5,7,8] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,4,6,1,7,8,5] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,4,6,1,7,5,8] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,4,6,7,1,8,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,6,7,8,1,5] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,4,6,7,1,5,8] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,4,6,1,5,8,7] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,4,6,1,8,5,7] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,4,6,8,1,5,7] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,4,6,1,5,7,8] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,4,1,5,7,8,6] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,4,1,5,7,6,8] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,4,1,7,5,8,6] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,4,1,7,8,5,6] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,4,1,7,5,6,8] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,4,7,1,5,8,6] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,4,7,1,8,5,6] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,4,7,8,1,5,6] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,4,7,1,5,6,8] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,4,1,5,6,8,7] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,4,1,5,8,6,7] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,4,1,8,5,6,7] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,4,8,1,5,6,7] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6,7,8] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,5,6,7,8,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,5,6,7,4,8] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,5,6,4,8,7] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,5,6,8,4,7] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,5,6,4,7,8] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,7,8,6] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6,8] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,7,4,8,6] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,7,8,4,6] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,4,6,8] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,5,4,6,8,7] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,5,4,8,6,7] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,5,8,4,6,7] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,5,4,6,7,8] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,5,1,6,7,8,4] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,5,1,6,7,4,8] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,5,1,6,4,8,7] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,5,1,6,8,4,7] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,5,1,6,4,7,8] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,5,6,1,7,8,4] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,5,6,1,7,4,8] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,5,6,7,1,8,4] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,8,1,4] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,5,6,7,1,4,8] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,6,1,4,8,7] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,6,1,8,4,7] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,8,1,4,7] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,5,6,1,4,7,8] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,1,4,7,8,6] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,1,4,7,6,8] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,1,7,4,8,6] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,1,7,8,4,6] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,1,7,4,6,8] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,3,5,7,1,4,8,6] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,3,5,7,1,8,4,6] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,3,5,7,8,1,4,6] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,3,5,7,1,4,6,8] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,5,1,4,6,8,7] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,5,1,4,8,6,7] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,5,1,8,4,6,7] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,5,8,1,4,6,7] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,5,1,4,6,7,8] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,4,6,7,8,5] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,4,6,7,5,8] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,1,4,6,5,8,7] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,1,4,6,8,5,7] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,1,4,6,5,7,8] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,3,1,6,4,7,8,5] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,6,4,7,5,8] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,3,1,6,7,4,8,5] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,6,7,8,4,5] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,6,7,4,5,8] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,1,6,4,5,8,7] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,1,6,4,8,5,7] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,1,6,8,4,5,7] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,1,6,4,5,7,8] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,6,1,4,7,8,5] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,1,4,7,5,8] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,3,6,1,7,4,8,5] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,6,1,7,8,4,5] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,6,1,7,4,5,8] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,6,7,1,4,8,5] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,6,7,1,8,4,5] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,6,7,8,1,4,5] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,6,7,1,4,5,8] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,6,1,4,5,8,7] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,6,1,4,8,5,7] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,6,1,8,4,5,7] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,6,8,1,4,5,7] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,6,1,4,5,7,8] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,4,5,7,8,6] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,3,1,4,5,7,6,8] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,4,7,5,8,6] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,4,7,8,5,6] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,3,1,4,7,5,6,8] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,7,4,5,8,6] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,7,4,8,5,6] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,7,8,4,5,6] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,3,1,7,4,5,6,8] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,3,7,1,4,5,8,6] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,3,7,1,4,8,5,6] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,3,7,1,8,4,5,6] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,3,7,8,1,4,5,6] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,7,1,4,5,6,8] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,3,1,4,5,6,8,7] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,3,1,4,5,8,6,7] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,3,1,4,8,5,6,7] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,3,1,8,4,5,6,7] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,3,8,1,4,5,6,7] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,3,1,4,5,6,7,8] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,8,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,7,3,8] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,4,5,6,3,8,7] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,4,5,6,8,3,7] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,4,5,6,3,7,8] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3,7,8,6] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6,8] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,4,5,7,3,8,6] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4,5,7,8,3,6] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,4,5,7,3,6,8] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,4,5,3,6,8,7] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,4,5,3,8,6,7] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4,5,8,3,6,7] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4,5,3,6,7,8] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,6,7,8,5] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,6,7,5,8] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,8,5,7] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,6,5,7,8] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,6,3,7,8,5] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,6,3,7,5,8] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,6,7,3,8,5] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,6,7,8,3,5] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,6,7,3,5,8] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,3,5,8,7] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,3,8,5,7] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,6,8,3,5,7] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,6,3,5,7,8] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,4,3,5,7,8,6] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,4,3,5,7,6,8] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,3,7,5,8,6] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,4,3,7,8,5,6] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,4,3,7,5,6,8] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,7,3,5,8,6] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,4,7,3,8,5,6] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,4,7,8,3,5,6] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,4,7,3,5,6,8] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,3,5,6,8,7] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,3,5,8,6,7] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,3,8,5,6,7] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,8,3,5,6,7] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,4,3,5,6,7,8] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,1,5,6,7,8,3] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,4,1,5,6,7,3,8] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,4,1,5,6,3,8,7] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,4,1,5,6,8,3,7] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,4,1,5,6,3,7,8] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,4,1,5,3,7,8,6] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,1,5,3,7,6,8] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,4,1,5,7,3,8,6] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,4,1,5,7,8,3,6] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,4,1,5,7,3,6,8] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,4,1,5,3,6,8,7] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,1,5,3,8,6,7] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,4,1,5,8,3,6,7] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,4,1,5,3,6,7,8] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,4,5,1,6,7,8,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,4,5,1,6,7,3,8] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,4,5,1,6,3,8,7] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,4,5,1,6,8,3,7] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,4,5,1,6,3,7,8] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,6,1,7,8,3] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,6,1,7,3,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,7,1,8,3] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,8,1,3] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,7,1,3,8] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,6,1,3,8,7] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,6,1,8,3,7] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,6,8,1,3,7] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,6,1,3,7,8] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,4,5,1,3,7,8,6] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,4,5,1,3,7,6,8] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,4,5,1,7,3,8,6] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,4,5,1,7,8,3,6] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,4,5,1,7,3,6,8] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,7,1,3,8,6] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,7,1,8,3,6] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,7,8,1,3,6] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,4,5,7,1,3,6,8] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,4,5,1,3,6,8,7] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,4,5,1,3,8,6,7] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,4,5,1,8,3,6,7] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,4,5,8,1,3,6,7] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,4,5,1,3,6,7,8] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,3,6,7,8,5] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,1,3,6,7,5,8] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,1,3,6,5,8,7] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,1,3,6,8,5,7] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,1,3,6,5,7,8] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,6,3,7,8,5] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,1,6,3,7,5,8] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,1,6,7,3,8,5] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,6,7,8,3,5] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,1,6,7,3,5,8] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,1,6,3,5,8,7] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,1,6,3,8,5,7] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,1,6,8,3,5,7] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,1,6,3,5,7,8] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,4,6,1,3,7,8,5] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,4,6,1,3,7,5,8] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,4,6,1,7,3,8,5] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,4,6,1,7,8,3,5] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,4,6,1,7,3,5,8] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,4,6,7,1,3,8,5] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,4,6,7,1,8,3,5] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,4,6,7,8,1,3,5] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,4,6,7,1,3,5,8] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,4,6,1,3,5,8,7] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,4,6,1,3,8,5,7] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,4,6,1,8,3,5,7] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,4,6,8,1,3,5,7] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,4,6,1,3,5,7,8] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,3,5,7,8,6] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,4,1,3,5,7,6,8] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,3,7,5,8,6] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,3,7,8,5,6] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,4,1,3,7,5,6,8] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,7,3,5,8,6] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,7,3,8,5,6] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,7,8,3,5,6] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,4,1,7,3,5,6,8] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,4,7,1,3,5,8,6] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,4,7,1,3,8,5,6] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,4,7,1,8,3,5,6] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,4,7,8,1,3,5,6] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,4,7,1,3,5,6,8] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1,3,5,6,8,7] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1,3,5,8,6,7] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1,3,8,5,6,7] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1,8,3,5,6,7] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,8,1,3,5,6,7] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,4,1,3,5,6,7,8] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,3,5,6,7,8,4] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,1,3,5,6,7,4,8] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,6,4,8,7] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,8,4,7] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,1,3,5,6,4,7,8] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,7,8,6] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6,8] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,1,3,5,7,4,8,6] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,1,3,5,7,8,4,6] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,4,6,8] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4,6,8,7] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,1,3,5,4,8,6,7] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,1,3,5,8,4,6,7] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,1,3,5,4,6,7,8] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,5,3,6,7,8,4] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,1,5,3,6,7,4,8] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,1,5,3,6,4,8,7] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,1,5,3,6,8,4,7] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,1,5,3,6,4,7,8] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,5,6,3,7,8,4] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,1,5,6,3,7,4,8] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,5,6,7,3,8,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,5,6,7,8,3,4] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,1,5,6,7,3,4,8] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,5,6,3,4,8,7] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,1,5,6,3,8,4,7] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,1,5,6,8,3,4,7] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,1,5,6,3,4,7,8] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,1,5,3,4,7,8,6] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,1,5,3,4,7,6,8] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,1,5,3,7,4,8,6] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,1,5,3,7,8,4,6] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,1,5,3,7,4,6,8] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,5,7,3,4,8,6] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,1,5,7,3,8,4,6] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,1,5,7,8,3,4,6] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,1,5,7,3,4,6,8] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,1,5,3,4,6,8,7] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,1,5,3,4,8,6,7] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,1,5,3,8,4,6,7] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,1,5,8,3,4,6,7] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,1,5,3,4,6,7,8] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,5,1,3,6,7,8,4] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,5,1,3,6,7,4,8] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,5,1,3,6,4,8,7] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,5,1,3,6,8,4,7] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,5,1,3,6,4,7,8] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,5,1,6,3,7,8,4] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,5,1,6,3,7,4,8] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,5,1,6,7,3,8,4] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,5,1,6,7,8,3,4] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,5,1,6,7,3,4,8] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,5,1,6,3,4,8,7] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,5,1,6,3,8,4,7] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,5,1,6,8,3,4,7] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,5,1,6,3,4,7,8] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,5,6,1,3,7,8,4] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,5,6,1,3,7,4,8] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,5,6,1,7,3,8,4] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,5,6,1,7,8,3,4] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,5,6,1,7,3,4,8] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,5,6,7,1,3,8,4] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,5,6,7,1,8,3,4] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,8,1,3,4] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,5,6,7,1,3,4,8] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,5,6,1,3,4,8,7] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,5,6,1,3,8,4,7] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,5,6,1,8,3,4,7] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,5,6,8,1,3,4,7] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,5,6,1,3,4,7,8] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,5,1,3,4,7,8,6] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,5,1,3,4,7,6,8] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,5,1,3,7,4,8,6] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,5,1,3,7,8,4,6] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,5,1,3,7,4,6,8] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,5,1,7,3,4,8,6] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,5,1,7,3,8,4,6] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,5,1,7,8,3,4,6] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,5,1,7,3,4,6,8] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,5,7,1,3,4,8,6] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,5,7,1,3,8,4,6] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,5,7,1,8,3,4,6] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,5,7,8,1,3,4,6] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,5,7,1,3,4,6,8] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,5,1,3,4,6,8,7] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,5,1,3,4,8,6,7] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,5,1,3,8,4,6,7] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,5,1,8,3,4,6,7] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,5,8,1,3,4,6,7] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,5,1,3,4,6,7,8] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,3,4,6,7,8,5] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,3,4,6,7,5,8] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,1,3,4,6,5,8,7] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,4,6,8,5,7] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,1,3,4,6,5,7,8] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,1,3,6,4,7,8,5] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,1,3,6,4,7,5,8] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,1,3,6,7,4,8,5] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,1,3,6,7,8,4,5] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,1,3,6,7,4,5,8] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,1,3,6,4,5,8,7] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,1,3,6,4,8,5,7] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,1,3,6,8,4,5,7] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,1,3,6,4,5,7,8] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,6,3,4,7,8,5] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,1,6,3,4,7,5,8] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,1,6,3,7,4,8,5] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,1,6,3,7,8,4,5] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,1,6,3,7,4,5,8] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,6,7,3,4,8,5] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,1,6,7,3,8,4,5] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,6,7,3,4,5,8] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,1,6,3,4,5,8,7] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,1,6,3,4,8,5,7] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,1,6,3,8,4,5,7] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,1,6,8,3,4,5,7] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,1,6,3,4,5,7,8] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,6,1,3,4,7,8,5] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,6,1,3,4,7,5,8] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,6,1,3,7,4,8,5] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,6,1,3,7,8,4,5] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,6,1,3,7,4,5,8] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,6,1,7,3,4,8,5] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,6,1,7,3,8,4,5] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,6,1,7,8,3,4,5] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,6,1,7,3,4,5,8] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,6,7,1,3,4,8,5] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,6,7,1,3,8,4,5] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,6,7,1,8,3,4,5] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,6,7,8,1,3,4,5] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,6,7,1,3,4,5,8] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,6,1,3,4,5,8,7] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,6,1,3,4,8,5,7] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,6,1,3,8,4,5,7] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,6,1,8,3,4,5,7] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,6,8,1,3,4,5,7] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,6,1,3,4,5,7,8] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,3,4,5,7,8,6] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,1,3,4,5,7,6,8] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,1,3,4,7,5,8,6] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,1,3,4,7,8,5,6] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,1,3,4,7,5,6,8] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,3,7,4,5,8,6] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,1,3,7,4,8,5,6] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,1,3,7,8,4,5,6] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,3,7,4,5,6,8] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,1,7,3,4,5,8,6] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,1,7,3,4,8,5,6] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,1,7,3,8,4,5,6] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,1,7,8,3,4,5,6] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,1,7,3,4,5,6,8] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,7,1,3,4,5,8,6] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,7,1,3,4,8,5,6] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,7,1,3,8,4,5,6] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,7,1,8,3,4,5,6] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,7,8,1,3,4,5,6] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,7,1,3,4,5,6,8] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,3,4,5,6,8,7] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,1,3,4,5,8,6,7] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,1,3,4,8,5,6,7] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,1,3,8,4,5,6,7] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,1,8,3,4,5,6,7] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,8,1,3,4,5,6,7] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,3,4,5,6,7,8] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,7,2,8] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,6,2,8,7] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,6,8,2,7] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,6,2,7,8] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,5,2,7,8,6] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6,8] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,5,7,2,8,6] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,7,8,2,6] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,5,7,2,6,8] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,5,2,6,8,7] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,5,2,8,6,7] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,5,8,2,6,7] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,5,2,6,7,8] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,4,2,6,7,8,5] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,6,7,5,8] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,8,7] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,8,5,7] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,4,2,6,5,7,8] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,6,2,7,8,5] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,6,2,7,5,8] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,6,7,2,8,5] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,6,7,8,2,5] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,7,2,5,8] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,4,6,2,5,8,7] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,4,6,2,8,5,7] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,4,6,8,2,5,7] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,4,6,2,5,7,8] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,4,2,5,7,8,6] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,4,2,5,7,6,8] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,4,2,7,5,8,6] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,4,2,7,8,5,6] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,4,2,7,5,6,8] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,4,7,2,5,8,6] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,4,7,2,8,5,6] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,4,7,8,2,5,6] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,4,7,2,5,6,8] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,3,4,2,5,6,8,7] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,3,4,2,5,8,6,7] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,3,4,2,8,5,6,7] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,3,4,8,2,5,6,7] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,3,4,2,5,6,7,8] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,5,6,7,8,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,5,6,7,4,8] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,5,6,4,8,7] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,5,6,8,4,7] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,5,6,4,7,8] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,7,8,6] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6,8] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,7,4,8,6] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,7,8,4,6] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,4,6,8] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,5,4,6,8,7] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,5,4,8,6,7] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,5,8,4,6,7] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,5,4,6,7,8] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,5,2,6,7,8,4] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,5,2,6,7,4,8] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,5,2,6,4,8,7] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,5,2,6,8,4,7] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,5,2,6,4,7,8] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,5,6,2,7,8,4] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,5,6,2,7,4,8] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,5,6,7,2,8,4] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,8,2,4] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,5,6,7,2,4,8] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,5,6,2,4,8,7] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,5,6,2,8,4,7] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,5,6,8,2,4,7] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,5,6,2,4,7,8] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,2,4,7,8,6] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,2,4,7,6,8] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,2,7,4,8,6] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,2,7,8,4,6] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,2,7,4,6,8] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,7,2,4,8,6] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,7,2,8,4,6] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,7,8,2,4,6] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,2,4,6,8] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,5,2,4,6,8,7] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,5,2,4,8,6,7] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,5,2,8,4,6,7] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,5,8,2,4,6,7] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,5,2,4,6,7,8] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,2,4,6,7,8,5] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,2,4,6,7,5,8] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,4,6,5,8,7] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,4,6,8,5,7] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,2,4,6,5,7,8] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,2,6,4,7,8,5] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,2,6,4,7,5,8] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,2,6,7,4,8,5] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,2,6,7,8,4,5] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,2,6,7,4,5,8] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,6,4,5,8,7] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,6,4,8,5,7] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,6,8,4,5,7] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,2,6,4,5,7,8] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,6,2,4,7,8,5] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,6,2,4,7,5,8] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,6,2,7,4,8,5] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,6,2,7,8,4,5] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,6,2,7,4,5,8] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,6,7,2,4,8,5] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,6,7,2,8,4,5] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,6,7,8,2,4,5] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,6,7,2,4,5,8] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,6,2,4,5,8,7] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,6,2,4,8,5,7] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,6,2,8,4,5,7] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,6,8,2,4,5,7] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,6,2,4,5,7,8] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,3,2,4,5,7,8,6] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,3,2,4,5,7,6,8] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,3,2,4,7,5,8,6] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,3,2,4,7,8,5,6] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,3,2,4,7,5,6,8] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,3,2,7,4,5,8,6] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,3,2,7,4,8,5,6] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,3,2,7,8,4,5,6] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,3,2,7,4,5,6,8] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,3,7,2,4,5,8,6] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,3,7,2,4,8,5,6] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,3,7,2,8,4,5,6] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,3,7,8,2,4,5,6] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,3,7,2,4,5,6,8] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,3,2,4,5,6,8,7] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,3,2,4,5,8,6,7] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,3,2,4,8,5,6,7] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,3,2,8,4,5,6,7] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,3,8,2,4,5,6,7] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,2,4,5,6,7,8] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,2] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,7,2,8] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,4,5,6,2,8,7] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,4,5,6,8,2,7] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,4,5,6,2,7,8] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,4,5,2,7,8,6] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,4,5,2,7,6,8] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,4,5,7,2,8,6] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4,5,7,8,2,6] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4,5,7,2,6,8] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,4,5,2,6,8,7] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4,5,2,8,6,7] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4,5,8,2,6,7] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,2,6,7,8] ----------------------------------------------------------------------------- Created: Jan 29, 2020 at 13:27 by FindStatCrew ----------------------------------------------------------------------------- Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey