************************************************************************ * 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: Mp00237 ------------------------------------------------------------------------ Map name: descent views to invisible inversion bottoms ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Permutations ------------------------------------------------------------------------ Description: Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation. This map is similar to [[Mp00235]], but different beginning with permutations of six elements. An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom. A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$. This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that * the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$, * the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$, * the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$, * the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and * the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$. ------------------------------------------------------------------------ References: ------------------------------------------------------------------------ Code: from sage.combinat.permutation import from_inversion_vector def mapping(pi): pi = Permutation(pi) if not pi: return pi descent_views = [] for i in range(len(pi)-1): if pi[i] > pi[i+1]: i_m = i+1 while i_m < len(pi)-1 and pi[i_m+1] < pi[i_m]: i_m += 1 for j in range(len(pi)): if pi[i] > pi[j] > pi[i+1]: j_m = j while j_m < len(pi)-1 and pi[j_m+1] < pi[j_m]: j_m += 1 if pi[j_m] > pi[i_m]: descent_views.append(pi[j]) # compute exceedances of sigma runs = [r[::-1] for r in reversed(pi.reverse().runs())] l_rb = [run[-1] for run in runs] l_rt = [run[0] for run in runs] P = sorted([i for i in range(1, len(pi)+1) if i not in l_rb]) f = [descent_views.count(v) for v in P] f_pi = [P[j-1] for j in from_inversion_vector(f)] sigma = [None for i in range(len(pi))] for i in range(len(pi)): if i+1 not in l_rt: sigma[i] = f_pi.pop(0) # compute deficiencies of sigma def iterated_preimage(v): while v in sigma: v = sigma.index(v) + 1 return v unused_pi = l_rb unused_sigma = unused_pi[:] runs = sorted(runs, key=lambda r: r[0]) while runs: run = runs.pop(0) c = run[0] s = iterated_preimage(c) l_s = sorted([rb for rb in unused_sigma if rb != s]) i = unused_pi.index(run[-1]) del unused_pi[i] if i == 0: sigma[c-1] = s else: j = sorted(unused_pi).index(unused_pi[i-1]) sigma[c-1] = l_s[j] unused_sigma.remove(sigma[c-1]) return Permutation(sigma) ------------------------------------------------------------------------ Map images: [1] => [1] [1,2] => [1,2] [2,1] => [2,1] [1,2,3] => [1,2,3] [1,3,2] => [1,3,2] [2,1,3] => [2,1,3] [2,3,1] => [3,2,1] [3,1,2] => [3,1,2] [3,2,1] => [2,3,1] [1,2,3,4] => [1,2,3,4] [1,2,4,3] => [1,2,4,3] [1,3,2,4] => [1,3,2,4] [1,3,4,2] => [1,4,3,2] [1,4,2,3] => [1,4,2,3] [1,4,3,2] => [1,3,4,2] [2,1,3,4] => [2,1,3,4] [2,1,4,3] => [2,1,4,3] [2,3,1,4] => [3,2,1,4] [2,3,4,1] => [4,2,3,1] [2,4,1,3] => [4,2,1,3] [2,4,3,1] => [3,2,4,1] [3,1,2,4] => [3,1,2,4] [3,1,4,2] => [3,4,1,2] [3,2,1,4] => [2,3,1,4] [3,2,4,1] => [4,3,2,1] [3,4,1,2] => [4,1,3,2] [3,4,2,1] => [2,4,3,1] [4,1,2,3] => [4,1,2,3] [4,1,3,2] => [4,3,1,2] [4,2,1,3] => [2,4,1,3] [4,2,3,1] => [3,4,2,1] [4,3,1,2] => [3,1,4,2] [4,3,2,1] => [2,3,4,1] [1,2,3,4,5] => [1,2,3,4,5] [1,2,3,5,4] => [1,2,3,5,4] [1,2,4,3,5] => [1,2,4,3,5] [1,2,4,5,3] => [1,2,5,4,3] [1,2,5,3,4] => [1,2,5,3,4] [1,2,5,4,3] => [1,2,4,5,3] [1,3,2,4,5] => [1,3,2,4,5] [1,3,2,5,4] => [1,3,2,5,4] [1,3,4,2,5] => [1,4,3,2,5] [1,3,4,5,2] => [1,5,3,4,2] [1,3,5,2,4] => [1,5,3,2,4] [1,3,5,4,2] => [1,4,3,5,2] [1,4,2,3,5] => [1,4,2,3,5] [1,4,2,5,3] => [1,4,5,2,3] [1,4,3,2,5] => [1,3,4,2,5] [1,4,3,5,2] => [1,5,4,3,2] [1,4,5,2,3] => [1,5,2,4,3] [1,4,5,3,2] => [1,3,5,4,2] [1,5,2,3,4] => [1,5,2,3,4] [1,5,2,4,3] => [1,5,4,2,3] [1,5,3,2,4] => [1,3,5,2,4] [1,5,3,4,2] => [1,4,5,3,2] [1,5,4,2,3] => [1,4,2,5,3] [1,5,4,3,2] => [1,3,4,5,2] [2,1,3,4,5] => [2,1,3,4,5] [2,1,3,5,4] => [2,1,3,5,4] [2,1,4,3,5] => [2,1,4,3,5] [2,1,4,5,3] => [2,1,5,4,3] [2,1,5,3,4] => [2,1,5,3,4] [2,1,5,4,3] => [2,1,4,5,3] [2,3,1,4,5] => [3,2,1,4,5] [2,3,1,5,4] => [3,2,1,5,4] [2,3,4,1,5] => [4,2,3,1,5] [2,3,4,5,1] => [5,2,3,4,1] [2,3,5,1,4] => [5,2,3,1,4] [2,3,5,4,1] => [4,2,3,5,1] [2,4,1,3,5] => [4,2,1,3,5] [2,4,1,5,3] => [4,2,5,1,3] [2,4,3,1,5] => [3,2,4,1,5] [2,4,3,5,1] => [5,2,4,3,1] [2,4,5,1,3] => [5,2,1,4,3] [2,4,5,3,1] => [3,2,5,4,1] [2,5,1,3,4] => [5,2,1,3,4] [2,5,1,4,3] => [5,2,4,1,3] [2,5,3,1,4] => [3,2,5,1,4] [2,5,3,4,1] => [4,2,5,3,1] [2,5,4,1,3] => [4,2,1,5,3] [2,5,4,3,1] => [3,2,4,5,1] [3,1,2,4,5] => [3,1,2,4,5] [3,1,2,5,4] => [3,1,2,5,4] [3,1,4,2,5] => [3,4,1,2,5] [3,1,4,5,2] => [3,5,1,4,2] [3,1,5,2,4] => [3,5,1,2,4] [3,1,5,4,2] => [3,4,1,5,2] [3,2,1,4,5] => [2,3,1,4,5] [3,2,1,5,4] => [2,3,1,5,4] [3,2,4,1,5] => [4,3,2,1,5] [3,2,4,5,1] => [5,3,2,4,1] [3,2,5,1,4] => [5,3,2,1,4] [3,2,5,4,1] => [4,3,2,5,1] [3,4,1,2,5] => [4,1,3,2,5] [3,4,1,5,2] => [4,5,3,1,2] [3,4,2,1,5] => [2,4,3,1,5] [3,4,2,5,1] => [5,4,3,2,1] [3,4,5,1,2] => [5,1,3,4,2] [3,4,5,2,1] => [2,5,3,4,1] [3,5,1,2,4] => [5,1,3,2,4] [3,5,1,4,2] => [5,4,3,1,2] [3,5,2,1,4] => [2,5,3,1,4] [3,5,2,4,1] => [4,5,3,2,1] [3,5,4,1,2] => [4,1,3,5,2] [3,5,4,2,1] => [2,4,3,5,1] [4,1,2,3,5] => [4,1,2,3,5] [4,1,2,5,3] => [4,1,5,2,3] [4,1,3,2,5] => [4,3,1,2,5] [4,1,3,5,2] => [4,5,1,3,2] [4,1,5,2,3] => [4,5,2,1,3] [4,1,5,3,2] => [4,3,5,1,2] [4,2,1,3,5] => [2,4,1,3,5] [4,2,1,5,3] => [2,4,5,1,3] [4,2,3,1,5] => [3,4,2,1,5] [4,2,3,5,1] => [5,4,2,3,1] [4,2,5,1,3] => [5,4,1,2,3] [4,2,5,3,1] => [3,5,4,1,2] [4,3,1,2,5] => [3,1,4,2,5] [4,3,1,5,2] => [3,4,5,2,1] [4,3,2,1,5] => [2,3,4,1,5] [4,3,2,5,1] => [5,3,4,2,1] [4,3,5,1,2] => [5,1,4,3,2] [4,3,5,2,1] => [2,5,4,3,1] [4,5,1,2,3] => [5,1,2,4,3] [4,5,1,3,2] => [5,3,1,4,2] [4,5,2,1,3] => [2,5,1,4,3] [4,5,2,3,1] => [3,5,2,4,1] [4,5,3,1,2] => [3,1,5,4,2] [4,5,3,2,1] => [2,3,5,4,1] [5,1,2,3,4] => [5,1,2,3,4] [5,1,2,4,3] => [5,1,4,2,3] [5,1,3,2,4] => [5,3,1,2,4] [5,1,3,4,2] => [5,4,1,3,2] [5,1,4,2,3] => [5,4,2,1,3] [5,1,4,3,2] => [5,3,4,1,2] [5,2,1,3,4] => [2,5,1,3,4] [5,2,1,4,3] => [2,5,4,1,3] [5,2,3,1,4] => [3,5,2,1,4] [5,2,3,4,1] => [4,5,2,3,1] [5,2,4,1,3] => [4,5,1,2,3] [5,2,4,3,1] => [3,4,5,1,2] [5,3,1,2,4] => [3,1,5,2,4] [5,3,1,4,2] => [3,5,4,2,1] [5,3,2,1,4] => [2,3,5,1,4] [5,3,2,4,1] => [4,3,5,2,1] [5,3,4,1,2] => [4,1,5,3,2] [5,3,4,2,1] => [2,4,5,3,1] [5,4,1,2,3] => [4,1,2,5,3] [5,4,1,3,2] => [4,3,1,5,2] [5,4,2,1,3] => [2,4,1,5,3] [5,4,2,3,1] => [3,4,2,5,1] [5,4,3,1,2] => [3,1,4,5,2] [5,4,3,2,1] => [2,3,4,5,1] [1,2,3,4,5,6] => [1,2,3,4,5,6] [1,2,3,4,6,5] => [1,2,3,4,6,5] [1,2,3,5,4,6] => [1,2,3,5,4,6] [1,2,3,5,6,4] => [1,2,3,6,5,4] [1,2,3,6,4,5] => [1,2,3,6,4,5] [1,2,3,6,5,4] => [1,2,3,5,6,4] [1,2,4,3,5,6] => [1,2,4,3,5,6] [1,2,4,3,6,5] => [1,2,4,3,6,5] [1,2,4,5,3,6] => [1,2,5,4,3,6] [1,2,4,5,6,3] => [1,2,6,4,5,3] [1,2,4,6,3,5] => [1,2,6,4,3,5] [1,2,4,6,5,3] => [1,2,5,4,6,3] [1,2,5,3,4,6] => [1,2,5,3,4,6] [1,2,5,3,6,4] => [1,2,5,6,3,4] [1,2,5,4,3,6] => [1,2,4,5,3,6] [1,2,5,4,6,3] => [1,2,6,5,4,3] [1,2,5,6,3,4] => [1,2,6,3,5,4] [1,2,5,6,4,3] => [1,2,4,6,5,3] [1,2,6,3,4,5] => [1,2,6,3,4,5] [1,2,6,3,5,4] => [1,2,6,5,3,4] [1,2,6,4,3,5] => [1,2,4,6,3,5] [1,2,6,4,5,3] => [1,2,5,6,4,3] [1,2,6,5,3,4] => [1,2,5,3,6,4] [1,2,6,5,4,3] => [1,2,4,5,6,3] [1,3,2,4,5,6] => [1,3,2,4,5,6] [1,3,2,4,6,5] => [1,3,2,4,6,5] [1,3,2,5,4,6] => [1,3,2,5,4,6] [1,3,2,5,6,4] => [1,3,2,6,5,4] [1,3,2,6,4,5] => [1,3,2,6,4,5] [1,3,2,6,5,4] => [1,3,2,5,6,4] [1,3,4,2,5,6] => [1,4,3,2,5,6] [1,3,4,2,6,5] => [1,4,3,2,6,5] [1,3,4,5,2,6] => [1,5,3,4,2,6] [1,3,4,5,6,2] => [1,6,3,4,5,2] [1,3,4,6,2,5] => [1,6,3,4,2,5] [1,3,4,6,5,2] => [1,5,3,4,6,2] [1,3,5,2,4,6] => [1,5,3,2,4,6] [1,3,5,2,6,4] => [1,5,3,6,2,4] [1,3,5,4,2,6] => [1,4,3,5,2,6] [1,3,5,4,6,2] => [1,6,3,5,4,2] [1,3,5,6,2,4] => [1,6,3,2,5,4] [1,3,5,6,4,2] => [1,4,3,6,5,2] [1,3,6,2,4,5] => [1,6,3,2,4,5] [1,3,6,2,5,4] => [1,6,3,5,2,4] [1,3,6,4,2,5] => [1,4,3,6,2,5] [1,3,6,4,5,2] => [1,5,3,6,4,2] [1,3,6,5,2,4] => [1,5,3,2,6,4] [1,3,6,5,4,2] => [1,4,3,5,6,2] [1,4,2,3,5,6] => [1,4,2,3,5,6] [1,4,2,3,6,5] => [1,4,2,3,6,5] [1,4,2,5,3,6] => [1,4,5,2,3,6] [1,4,2,5,6,3] => [1,4,6,2,5,3] [1,4,2,6,3,5] => [1,4,6,2,3,5] [1,4,2,6,5,3] => [1,4,5,2,6,3] [1,4,3,2,5,6] => [1,3,4,2,5,6] [1,4,3,2,6,5] => [1,3,4,2,6,5] [1,4,3,5,2,6] => [1,5,4,3,2,6] [1,4,3,5,6,2] => [1,6,4,3,5,2] [1,4,3,6,2,5] => [1,6,4,3,2,5] [1,4,3,6,5,2] => [1,5,4,3,6,2] [1,4,5,2,3,6] => [1,5,2,4,3,6] [1,4,5,2,6,3] => [1,5,6,4,2,3] [1,4,5,3,2,6] => [1,3,5,4,2,6] [1,4,5,3,6,2] => [1,6,5,4,3,2] [1,4,5,6,2,3] => [1,6,2,4,5,3] [1,4,5,6,3,2] => [1,3,6,4,5,2] [1,4,6,2,3,5] => [1,6,2,4,3,5] [1,4,6,2,5,3] => [1,6,5,4,2,3] [1,4,6,3,2,5] => [1,3,6,4,2,5] [1,4,6,3,5,2] => [1,5,6,4,3,2] [1,4,6,5,2,3] => [1,5,2,4,6,3] [1,4,6,5,3,2] => [1,3,5,4,6,2] [1,5,2,3,4,6] => [1,5,2,3,4,6] [1,5,2,3,6,4] => [1,5,2,6,3,4] [1,5,2,4,3,6] => [1,5,4,2,3,6] [1,5,2,4,6,3] => [1,5,6,2,4,3] [1,5,2,6,3,4] => [1,5,6,3,2,4] [1,5,2,6,4,3] => [1,5,4,6,2,3] [1,5,3,2,4,6] => [1,3,5,2,4,6] [1,5,3,2,6,4] => [1,3,5,6,2,4] [1,5,3,4,2,6] => [1,4,5,3,2,6] [1,5,3,4,6,2] => [1,6,5,3,4,2] [1,5,3,6,2,4] => [1,6,5,2,3,4] [1,5,3,6,4,2] => [1,4,6,5,2,3] [1,5,4,2,3,6] => [1,4,2,5,3,6] [1,5,4,2,6,3] => [1,4,5,6,3,2] [1,5,4,3,2,6] => [1,3,4,5,2,6] [1,5,4,3,6,2] => [1,6,4,5,3,2] [1,5,4,6,2,3] => [1,6,2,5,4,3] [1,5,4,6,3,2] => [1,3,6,5,4,2] [1,5,6,2,3,4] => [1,6,2,3,5,4] [1,5,6,2,4,3] => [1,6,4,2,5,3] [1,5,6,3,2,4] => [1,3,6,2,5,4] [1,5,6,3,4,2] => [1,4,6,3,5,2] [1,5,6,4,2,3] => [1,4,2,6,5,3] [1,5,6,4,3,2] => [1,3,4,6,5,2] [1,6,2,3,4,5] => [1,6,2,3,4,5] [1,6,2,3,5,4] => [1,6,2,5,3,4] [1,6,2,4,3,5] => [1,6,4,2,3,5] [1,6,2,4,5,3] => [1,6,5,2,4,3] [1,6,2,5,3,4] => [1,6,5,3,2,4] [1,6,2,5,4,3] => [1,6,4,5,2,3] [1,6,3,2,4,5] => [1,3,6,2,4,5] [1,6,3,2,5,4] => [1,3,6,5,2,4] [1,6,3,4,2,5] => [1,4,6,3,2,5] [1,6,3,4,5,2] => [1,5,6,3,4,2] [1,6,3,5,2,4] => [1,5,6,2,3,4] [1,6,3,5,4,2] => [1,4,5,6,2,3] [1,6,4,2,3,5] => [1,4,2,6,3,5] [1,6,4,2,5,3] => [1,4,6,5,3,2] [1,6,4,3,2,5] => [1,3,4,6,2,5] [1,6,4,3,5,2] => [1,5,4,6,3,2] [1,6,4,5,2,3] => [1,5,2,6,4,3] [1,6,4,5,3,2] => [1,3,5,6,4,2] [1,6,5,2,3,4] => [1,5,2,3,6,4] [1,6,5,2,4,3] => [1,5,4,2,6,3] [1,6,5,3,2,4] => [1,3,5,2,6,4] [1,6,5,3,4,2] => [1,4,5,3,6,2] [1,6,5,4,2,3] => [1,4,2,5,6,3] [1,6,5,4,3,2] => [1,3,4,5,6,2] [2,1,3,4,5,6] => [2,1,3,4,5,6] [2,1,3,4,6,5] => [2,1,3,4,6,5] [2,1,3,5,4,6] => [2,1,3,5,4,6] [2,1,3,5,6,4] => [2,1,3,6,5,4] [2,1,3,6,4,5] => [2,1,3,6,4,5] [2,1,3,6,5,4] => [2,1,3,5,6,4] [2,1,4,3,5,6] => [2,1,4,3,5,6] [2,1,4,3,6,5] => [2,1,4,3,6,5] [2,1,4,5,3,6] => [2,1,5,4,3,6] [2,1,4,5,6,3] => [2,1,6,4,5,3] [2,1,4,6,3,5] => [2,1,6,4,3,5] [2,1,4,6,5,3] => [2,1,5,4,6,3] [2,1,5,3,4,6] => [2,1,5,3,4,6] [2,1,5,3,6,4] => [2,1,5,6,3,4] [2,1,5,4,3,6] => [2,1,4,5,3,6] [2,1,5,4,6,3] => [2,1,6,5,4,3] [2,1,5,6,3,4] => [2,1,6,3,5,4] [2,1,5,6,4,3] => [2,1,4,6,5,3] [2,1,6,3,4,5] => [2,1,6,3,4,5] [2,1,6,3,5,4] => [2,1,6,5,3,4] [2,1,6,4,3,5] => [2,1,4,6,3,5] [2,1,6,4,5,3] => [2,1,5,6,4,3] [2,1,6,5,3,4] => [2,1,5,3,6,4] [2,1,6,5,4,3] => [2,1,4,5,6,3] [2,3,1,4,5,6] => [3,2,1,4,5,6] [2,3,1,4,6,5] => [3,2,1,4,6,5] [2,3,1,5,4,6] => [3,2,1,5,4,6] [2,3,1,5,6,4] => [3,2,1,6,5,4] [2,3,1,6,4,5] => [3,2,1,6,4,5] [2,3,1,6,5,4] => [3,2,1,5,6,4] [2,3,4,1,5,6] => [4,2,3,1,5,6] [2,3,4,1,6,5] => [4,2,3,1,6,5] [2,3,4,5,1,6] => [5,2,3,4,1,6] [2,3,4,5,6,1] => [6,2,3,4,5,1] [2,3,4,6,1,5] => [6,2,3,4,1,5] [2,3,4,6,5,1] => [5,2,3,4,6,1] [2,3,5,1,4,6] => [5,2,3,1,4,6] [2,3,5,1,6,4] => [5,2,3,6,1,4] [2,3,5,4,1,6] => [4,2,3,5,1,6] [2,3,5,4,6,1] => [6,2,3,5,4,1] [2,3,5,6,1,4] => [6,2,3,1,5,4] [2,3,5,6,4,1] => [4,2,3,6,5,1] [2,3,6,1,4,5] => [6,2,3,1,4,5] [2,3,6,1,5,4] => [6,2,3,5,1,4] [2,3,6,4,1,5] => [4,2,3,6,1,5] [2,3,6,4,5,1] => [5,2,3,6,4,1] [2,3,6,5,1,4] => [5,2,3,1,6,4] [2,3,6,5,4,1] => [4,2,3,5,6,1] [2,4,1,3,5,6] => [4,2,1,3,5,6] [2,4,1,3,6,5] => [4,2,1,3,6,5] [2,4,1,5,3,6] => [4,2,5,1,3,6] [2,4,1,5,6,3] => [4,2,6,1,5,3] [2,4,1,6,3,5] => [4,2,6,1,3,5] [2,4,1,6,5,3] => [4,2,5,1,6,3] [2,4,3,1,5,6] => [3,2,4,1,5,6] [2,4,3,1,6,5] => [3,2,4,1,6,5] [2,4,3,5,1,6] => [5,2,4,3,1,6] [2,4,3,5,6,1] => [6,2,4,3,5,1] [2,4,3,6,1,5] => [6,2,4,3,1,5] [2,4,3,6,5,1] => [5,2,4,3,6,1] [2,4,5,1,3,6] => [5,2,1,4,3,6] [2,4,5,1,6,3] => [5,2,6,4,1,3] [2,4,5,3,1,6] => [3,2,5,4,1,6] [2,4,5,3,6,1] => [6,2,5,4,3,1] [2,4,5,6,1,3] => [6,2,1,4,5,3] [2,4,5,6,3,1] => [3,2,6,4,5,1] [2,4,6,1,3,5] => [6,2,1,4,3,5] [2,4,6,1,5,3] => [6,2,5,4,1,3] [2,4,6,3,1,5] => [3,2,6,4,1,5] [2,4,6,3,5,1] => [5,2,6,4,3,1] [2,4,6,5,1,3] => [5,2,1,4,6,3] [2,4,6,5,3,1] => [3,2,5,4,6,1] [2,5,1,3,4,6] => [5,2,1,3,4,6] [2,5,1,3,6,4] => [5,2,1,6,3,4] [2,5,1,4,3,6] => [5,2,4,1,3,6] [2,5,1,4,6,3] => [5,2,6,1,4,3] [2,5,1,6,3,4] => [5,2,6,3,1,4] [2,5,1,6,4,3] => [5,2,4,6,1,3] [2,5,3,1,4,6] => [3,2,5,1,4,6] [2,5,3,1,6,4] => [3,2,5,6,1,4] [2,5,3,4,1,6] => [4,2,5,3,1,6] [2,5,3,4,6,1] => [6,2,5,3,4,1] [2,5,3,6,1,4] => [6,2,5,1,3,4] [2,5,3,6,4,1] => [4,2,6,5,1,3] [2,5,4,1,3,6] => [4,2,1,5,3,6] [2,5,4,1,6,3] => [4,2,5,6,3,1] [2,5,4,3,1,6] => [3,2,4,5,1,6] [2,5,4,3,6,1] => [6,2,4,5,3,1] [2,5,4,6,1,3] => [6,2,1,5,4,3] [2,5,4,6,3,1] => [3,2,6,5,4,1] [2,5,6,1,3,4] => [6,2,1,3,5,4] [2,5,6,1,4,3] => [6,2,4,1,5,3] [2,5,6,3,1,4] => [3,2,6,1,5,4] [2,5,6,3,4,1] => [4,2,6,3,5,1] [2,5,6,4,1,3] => [4,2,1,6,5,3] [2,5,6,4,3,1] => [3,2,4,6,5,1] [2,6,1,3,4,5] => [6,2,1,3,4,5] [2,6,1,3,5,4] => [6,2,1,5,3,4] [2,6,1,4,3,5] => [6,2,4,1,3,5] [2,6,1,4,5,3] => [6,2,5,1,4,3] [2,6,1,5,3,4] => [6,2,5,3,1,4] [2,6,1,5,4,3] => [6,2,4,5,1,3] [2,6,3,1,4,5] => [3,2,6,1,4,5] [2,6,3,1,5,4] => [3,2,6,5,1,4] [2,6,3,4,1,5] => [4,2,6,3,1,5] [2,6,3,4,5,1] => [5,2,6,3,4,1] [2,6,3,5,1,4] => [5,2,6,1,3,4] [2,6,3,5,4,1] => [4,2,5,6,1,3] [2,6,4,1,3,5] => [4,2,1,6,3,5] [2,6,4,1,5,3] => [4,2,6,5,3,1] [2,6,4,3,1,5] => [3,2,4,6,1,5] [2,6,4,3,5,1] => [5,2,4,6,3,1] [2,6,4,5,1,3] => [5,2,1,6,4,3] [2,6,4,5,3,1] => [3,2,5,6,4,1] [2,6,5,1,3,4] => [5,2,1,3,6,4] [2,6,5,1,4,3] => [5,2,4,1,6,3] [2,6,5,3,1,4] => [3,2,5,1,6,4] [2,6,5,3,4,1] => [4,2,5,3,6,1] [2,6,5,4,1,3] => [4,2,1,5,6,3] [2,6,5,4,3,1] => [3,2,4,5,6,1] [3,1,2,4,5,6] => [3,1,2,4,5,6] [3,1,2,4,6,5] => [3,1,2,4,6,5] [3,1,2,5,4,6] => [3,1,2,5,4,6] [3,1,2,5,6,4] => [3,1,2,6,5,4] [3,1,2,6,4,5] => [3,1,2,6,4,5] [3,1,2,6,5,4] => [3,1,2,5,6,4] [3,1,4,2,5,6] => [3,4,1,2,5,6] [3,1,4,2,6,5] => [3,4,1,2,6,5] [3,1,4,5,2,6] => [3,5,1,4,2,6] [3,1,4,5,6,2] => [3,6,1,4,5,2] [3,1,4,6,2,5] => [3,6,1,4,2,5] [3,1,4,6,5,2] => [3,5,1,4,6,2] [3,1,5,2,4,6] => [3,5,1,2,4,6] [3,1,5,2,6,4] => [3,5,1,6,2,4] [3,1,5,4,2,6] => [3,4,1,5,2,6] [3,1,5,4,6,2] => [3,6,1,5,4,2] [3,1,5,6,2,4] => [3,6,1,2,5,4] [3,1,5,6,4,2] => [3,4,1,6,5,2] [3,1,6,2,4,5] => [3,6,1,2,4,5] [3,1,6,2,5,4] => [3,6,1,5,2,4] [3,1,6,4,2,5] => [3,4,1,6,2,5] [3,1,6,4,5,2] => [3,5,1,6,4,2] [3,1,6,5,2,4] => [3,5,1,2,6,4] [3,1,6,5,4,2] => [3,4,1,5,6,2] [3,2,1,4,5,6] => [2,3,1,4,5,6] [3,2,1,4,6,5] => [2,3,1,4,6,5] [3,2,1,5,4,6] => [2,3,1,5,4,6] [3,2,1,5,6,4] => [2,3,1,6,5,4] [3,2,1,6,4,5] => [2,3,1,6,4,5] [3,2,1,6,5,4] => [2,3,1,5,6,4] [3,2,4,1,5,6] => [4,3,2,1,5,6] [3,2,4,1,6,5] => [4,3,2,1,6,5] [3,2,4,5,1,6] => [5,3,2,4,1,6] [3,2,4,5,6,1] => [6,3,2,4,5,1] [3,2,4,6,1,5] => [6,3,2,4,1,5] [3,2,4,6,5,1] => [5,3,2,4,6,1] [3,2,5,1,4,6] => [5,3,2,1,4,6] [3,2,5,1,6,4] => [5,3,2,6,1,4] [3,2,5,4,1,6] => [4,3,2,5,1,6] [3,2,5,4,6,1] => [6,3,2,5,4,1] [3,2,5,6,1,4] => [6,3,2,1,5,4] [3,2,5,6,4,1] => [4,3,2,6,5,1] [3,2,6,1,4,5] => [6,3,2,1,4,5] [3,2,6,1,5,4] => [6,3,2,5,1,4] [3,2,6,4,1,5] => [4,3,2,6,1,5] [3,2,6,4,5,1] => [5,3,2,6,4,1] [3,2,6,5,1,4] => [5,3,2,1,6,4] [3,2,6,5,4,1] => [4,3,2,5,6,1] [3,4,1,2,5,6] => [4,1,3,2,5,6] [3,4,1,2,6,5] => [4,1,3,2,6,5] [3,4,1,5,2,6] => [4,5,3,1,2,6] [3,4,1,5,6,2] => [4,6,3,1,5,2] [3,4,1,6,2,5] => [4,6,3,1,2,5] [3,4,1,6,5,2] => [4,5,3,1,6,2] [3,4,2,1,5,6] => [2,4,3,1,5,6] [3,4,2,1,6,5] => [2,4,3,1,6,5] [3,4,2,5,1,6] => [5,4,3,2,1,6] [3,4,2,5,6,1] => [6,4,3,2,5,1] [3,4,2,6,1,5] => [6,4,3,2,1,5] [3,4,2,6,5,1] => [5,4,3,2,6,1] [3,4,5,1,2,6] => [5,1,3,4,2,6] [3,4,5,1,6,2] => [5,6,3,4,1,2] [3,4,5,2,1,6] => [2,5,3,4,1,6] [3,4,5,2,6,1] => [6,5,3,4,2,1] [3,4,5,6,1,2] => [6,1,3,4,5,2] [3,4,5,6,2,1] => [2,6,3,4,5,1] [3,4,6,1,2,5] => [6,1,3,4,2,5] [3,4,6,1,5,2] => [6,5,3,4,1,2] [3,4,6,2,1,5] => [2,6,3,4,1,5] [3,4,6,2,5,1] => [5,6,3,4,2,1] [3,4,6,5,1,2] => [5,1,3,4,6,2] [3,4,6,5,2,1] => [2,5,3,4,6,1] [3,5,1,2,4,6] => [5,1,3,2,4,6] [3,5,1,2,6,4] => [5,1,3,6,2,4] [3,5,1,4,2,6] => [5,4,3,1,2,6] [3,5,1,4,6,2] => [5,6,3,1,4,2] [3,5,1,6,2,4] => [5,6,3,2,1,4] [3,5,1,6,4,2] => [5,4,3,6,1,2] [3,5,2,1,4,6] => [2,5,3,1,4,6] [3,5,2,1,6,4] => [2,5,3,6,1,4] [3,5,2,4,1,6] => [4,5,3,2,1,6] [3,5,2,4,6,1] => [6,5,3,2,4,1] [3,5,2,6,1,4] => [6,5,3,1,2,4] [3,5,2,6,4,1] => [4,6,3,5,1,2] [3,5,4,1,2,6] => [4,1,3,5,2,6] [3,5,4,1,6,2] => [4,5,3,6,2,1] [3,5,4,2,1,6] => [2,4,3,5,1,6] [3,5,4,2,6,1] => [6,4,3,5,2,1] [3,5,4,6,1,2] => [6,1,3,5,4,2] [3,5,4,6,2,1] => [2,6,3,5,4,1] [3,5,6,1,2,4] => [6,1,3,2,5,4] [3,5,6,1,4,2] => [6,4,3,1,5,2] [3,5,6,2,1,4] => [2,6,3,1,5,4] [3,5,6,2,4,1] => [4,6,3,2,5,1] [3,5,6,4,1,2] => [4,1,3,6,5,2] [3,5,6,4,2,1] => [2,4,3,6,5,1] [3,6,1,2,4,5] => [6,1,3,2,4,5] [3,6,1,2,5,4] => [6,1,3,5,2,4] [3,6,1,4,2,5] => [6,4,3,1,2,5] [3,6,1,4,5,2] => [6,5,3,1,4,2] [3,6,1,5,2,4] => [6,5,3,2,1,4] [3,6,1,5,4,2] => [6,4,3,5,1,2] [3,6,2,1,4,5] => [2,6,3,1,4,5] [3,6,2,1,5,4] => [2,6,3,5,1,4] [3,6,2,4,1,5] => [4,6,3,2,1,5] [3,6,2,4,5,1] => [5,6,3,2,4,1] [3,6,2,5,1,4] => [5,6,3,1,2,4] [3,6,2,5,4,1] => [4,5,3,6,1,2] [3,6,4,1,2,5] => [4,1,3,6,2,5] [3,6,4,1,5,2] => [4,6,3,5,2,1] [3,6,4,2,1,5] => [2,4,3,6,1,5] [3,6,4,2,5,1] => [5,4,3,6,2,1] [3,6,4,5,1,2] => [5,1,3,6,4,2] [3,6,4,5,2,1] => [2,5,3,6,4,1] [3,6,5,1,2,4] => [5,1,3,2,6,4] [3,6,5,1,4,2] => [5,4,3,1,6,2] [3,6,5,2,1,4] => [2,5,3,1,6,4] [3,6,5,2,4,1] => [4,5,3,2,6,1] [3,6,5,4,1,2] => [4,1,3,5,6,2] [3,6,5,4,2,1] => [2,4,3,5,6,1] [4,1,2,3,5,6] => [4,1,2,3,5,6] [4,1,2,3,6,5] => [4,1,2,3,6,5] [4,1,2,5,3,6] => [4,1,5,2,3,6] [4,1,2,5,6,3] => [4,1,6,2,5,3] [4,1,2,6,3,5] => [4,1,6,2,3,5] [4,1,2,6,5,3] => [4,1,5,2,6,3] [4,1,3,2,5,6] => [4,3,1,2,5,6] [4,1,3,2,6,5] => [4,3,1,2,6,5] [4,1,3,5,2,6] => [4,5,1,3,2,6] [4,1,3,5,6,2] => [4,6,1,3,5,2] [4,1,3,6,2,5] => [4,6,1,3,2,5] [4,1,3,6,5,2] => [4,5,1,3,6,2] [4,1,5,2,3,6] => [4,5,2,1,3,6] [4,1,5,2,6,3] => [4,5,6,1,2,3] [4,1,5,3,2,6] => [4,3,5,1,2,6] [4,1,5,3,6,2] => [4,6,5,1,3,2] [4,1,5,6,2,3] => [4,6,2,1,5,3] [4,1,5,6,3,2] => [4,3,6,1,5,2] [4,1,6,2,3,5] => [4,6,2,1,3,5] [4,1,6,2,5,3] => [4,6,5,1,2,3] [4,1,6,3,2,5] => [4,3,6,1,2,5] [4,1,6,3,5,2] => [4,5,6,1,3,2] [4,1,6,5,2,3] => [4,5,2,1,6,3] [4,1,6,5,3,2] => [4,3,5,1,6,2] [4,2,1,3,5,6] => [2,4,1,3,5,6] [4,2,1,3,6,5] => [2,4,1,3,6,5] [4,2,1,5,3,6] => [2,4,5,1,3,6] [4,2,1,5,6,3] => [2,4,6,1,5,3] [4,2,1,6,3,5] => [2,4,6,1,3,5] [4,2,1,6,5,3] => [2,4,5,1,6,3] [4,2,3,1,5,6] => [3,4,2,1,5,6] [4,2,3,1,6,5] => [3,4,2,1,6,5] [4,2,3,5,1,6] => [5,4,2,3,1,6] [4,2,3,5,6,1] => [6,4,2,3,5,1] [4,2,3,6,1,5] => [6,4,2,3,1,5] [4,2,3,6,5,1] => [5,4,2,3,6,1] [4,2,5,1,3,6] => [5,4,1,2,3,6] [4,2,5,1,6,3] => [5,4,6,2,1,3] [4,2,5,3,1,6] => [3,5,4,1,2,6] [4,2,5,3,6,1] => [6,4,5,2,3,1] [4,2,5,6,1,3] => [6,4,1,2,5,3] [4,2,5,6,3,1] => [3,6,4,1,5,2] [4,2,6,1,3,5] => [6,4,1,2,3,5] [4,2,6,1,5,3] => [6,4,5,2,1,3] [4,2,6,3,1,5] => [3,6,4,1,2,5] [4,2,6,3,5,1] => [5,4,6,2,3,1] [4,2,6,5,1,3] => [5,4,1,2,6,3] [4,2,6,5,3,1] => [3,5,4,1,6,2] [4,3,1,2,5,6] => [3,1,4,2,5,6] [4,3,1,2,6,5] => [3,1,4,2,6,5] [4,3,1,5,2,6] => [3,4,5,2,1,6] [4,3,1,5,6,2] => [3,4,6,2,5,1] [4,3,1,6,2,5] => [3,4,6,2,1,5] [4,3,1,6,5,2] => [3,4,5,2,6,1] [4,3,2,1,5,6] => [2,3,4,1,5,6] [4,3,2,1,6,5] => [2,3,4,1,6,5] [4,3,2,5,1,6] => [5,3,4,2,1,6] [4,3,2,5,6,1] => [6,3,4,2,5,1] [4,3,2,6,1,5] => [6,3,4,2,1,5] [4,3,2,6,5,1] => [5,3,4,2,6,1] [4,3,5,1,2,6] => [5,1,4,3,2,6] [4,3,5,1,6,2] => [5,6,4,3,1,2] [4,3,5,2,1,6] => [2,5,4,3,1,6] [4,3,5,2,6,1] => [6,5,4,3,2,1] [4,3,5,6,1,2] => [6,1,4,3,5,2] [4,3,5,6,2,1] => [2,6,4,3,5,1] [4,3,6,1,2,5] => [6,1,4,3,2,5] [4,3,6,1,5,2] => [6,5,4,3,1,2] [4,3,6,2,1,5] => [2,6,4,3,1,5] [4,3,6,2,5,1] => [5,6,4,3,2,1] [4,3,6,5,1,2] => [5,1,4,3,6,2] [4,3,6,5,2,1] => [2,5,4,3,6,1] [4,5,1,2,3,6] => [5,1,2,4,3,6] [4,5,1,2,6,3] => [5,1,6,4,2,3] [4,5,1,3,2,6] => [5,3,1,4,2,6] [4,5,1,3,6,2] => [5,6,1,4,3,2] [4,5,1,6,2,3] => [5,6,2,4,1,3] [4,5,1,6,3,2] => [5,3,6,4,1,2] [4,5,2,1,3,6] => [2,5,1,4,3,6] [4,5,2,1,6,3] => [2,5,6,4,1,3] [4,5,2,3,1,6] => [3,5,2,4,1,6] [4,5,2,3,6,1] => [6,5,2,4,3,1] [4,5,2,6,1,3] => [6,5,1,4,2,3] [4,5,2,6,3,1] => [3,6,5,4,1,2] [4,5,3,1,2,6] => [3,1,5,4,2,6] [4,5,3,1,6,2] => [3,5,6,4,2,1] [4,5,3,2,1,6] => [2,3,5,4,1,6] [4,5,3,2,6,1] => [6,3,5,4,2,1] [4,5,3,6,1,2] => [6,1,5,4,3,2] [4,5,3,6,2,1] => [2,6,5,4,3,1] [4,5,6,1,2,3] => [6,1,2,4,5,3] [4,5,6,1,3,2] => [6,3,1,4,5,2] [4,5,6,2,1,3] => [2,6,1,4,5,3] [4,5,6,2,3,1] => [3,6,2,4,5,1] [4,5,6,3,1,2] => [3,1,6,4,5,2] [4,5,6,3,2,1] => [2,3,6,4,5,1] [4,6,1,2,3,5] => [6,1,2,4,3,5] [4,6,1,2,5,3] => [6,1,5,4,2,3] [4,6,1,3,2,5] => [6,3,1,4,2,5] [4,6,1,3,5,2] => [6,5,1,4,3,2] [4,6,1,5,2,3] => [6,5,2,4,1,3] [4,6,1,5,3,2] => [6,3,5,4,1,2] [4,6,2,1,3,5] => [2,6,1,4,3,5] [4,6,2,1,5,3] => [2,6,5,4,1,3] [4,6,2,3,1,5] => [3,6,2,4,1,5] [4,6,2,3,5,1] => [5,6,2,4,3,1] [4,6,2,5,1,3] => [5,6,1,4,2,3] [4,6,2,5,3,1] => [3,5,6,4,1,2] [4,6,3,1,2,5] => [3,1,6,4,2,5] [4,6,3,1,5,2] => [3,6,5,4,2,1] [4,6,3,2,1,5] => [2,3,6,4,1,5] [4,6,3,2,5,1] => [5,3,6,4,2,1] [4,6,3,5,1,2] => [5,1,6,4,3,2] [4,6,3,5,2,1] => [2,5,6,4,3,1] [4,6,5,1,2,3] => [5,1,2,4,6,3] [4,6,5,1,3,2] => [5,3,1,4,6,2] [4,6,5,2,1,3] => [2,5,1,4,6,3] [4,6,5,2,3,1] => [3,5,2,4,6,1] [4,6,5,3,1,2] => [3,1,5,4,6,2] [4,6,5,3,2,1] => [2,3,5,4,6,1] [5,1,2,3,4,6] => [5,1,2,3,4,6] [5,1,2,3,6,4] => [5,1,2,6,3,4] [5,1,2,4,3,6] => [5,1,4,2,3,6] [5,1,2,4,6,3] => [5,1,6,2,4,3] [5,1,2,6,3,4] => [5,1,6,3,2,4] [5,1,2,6,4,3] => [5,1,4,6,2,3] [5,1,3,2,4,6] => [5,3,1,2,4,6] [5,1,3,2,6,4] => [5,3,1,6,2,4] [5,1,3,4,2,6] => [5,4,1,3,2,6] [5,1,3,4,6,2] => [5,6,1,2,3,4] [5,1,3,6,2,4] => [5,6,1,3,4,2] [5,1,3,6,4,2] => [5,4,1,6,3,2] [5,1,4,2,3,6] => [5,4,2,1,3,6] [5,1,4,2,6,3] => [5,4,6,1,2,3] [5,1,4,3,2,6] => [5,3,4,1,2,6] [5,1,4,3,6,2] => [5,6,4,1,3,2] [5,1,4,6,2,3] => [5,6,2,1,4,3] [5,1,4,6,3,2] => [5,3,6,1,4,2] [5,1,6,2,3,4] => [5,6,2,3,1,4] [5,1,6,2,4,3] => [5,6,4,2,1,3] [5,1,6,3,2,4] => [5,3,6,2,1,4] [5,1,6,3,4,2] => [5,4,6,3,1,2] [5,1,6,4,2,3] => [5,4,2,6,1,3] [5,1,6,4,3,2] => [5,3,4,6,1,2] [5,2,1,3,4,6] => [2,5,1,3,4,6] [5,2,1,3,6,4] => [2,5,1,6,3,4] [5,2,1,4,3,6] => [2,5,4,1,3,6] [5,2,1,4,6,3] => [2,5,6,1,4,3] [5,2,1,6,3,4] => [2,5,6,3,1,4] [5,2,1,6,4,3] => [2,5,4,6,1,3] [5,2,3,1,4,6] => [3,5,2,1,4,6] [5,2,3,1,6,4] => [3,5,2,6,1,4] [5,2,3,4,1,6] => [4,5,2,3,1,6] [5,2,3,4,6,1] => [6,5,2,3,4,1] [5,2,3,6,1,4] => [6,5,2,1,3,4] [5,2,3,6,4,1] => [4,6,2,5,1,3] [5,2,4,1,3,6] => [4,5,1,2,3,6] [5,2,4,1,6,3] => [4,5,6,2,1,3] [5,2,4,3,1,6] => [3,4,5,1,2,6] [5,2,4,3,6,1] => [6,5,4,2,3,1] [5,2,4,6,1,3] => [6,5,1,3,2,4] [5,2,4,6,3,1] => [3,6,5,2,1,4] [5,2,6,1,3,4] => [6,5,1,2,4,3] [5,2,6,1,4,3] => [6,5,4,1,2,3] [5,2,6,3,1,4] => [3,6,5,1,4,2] [5,2,6,3,4,1] => [4,5,6,3,2,1] [5,2,6,4,1,3] => [4,6,1,5,3,2] [5,2,6,4,3,1] => [3,4,6,5,2,1] [5,3,1,2,4,6] => [3,1,5,2,4,6] [5,3,1,2,6,4] => [3,1,5,6,2,4] [5,3,1,4,2,6] => [3,5,4,2,1,6] [5,3,1,4,6,2] => [3,5,6,1,2,4] [5,3,1,6,2,4] => [3,5,6,2,4,1] [5,3,1,6,4,2] => [3,5,4,6,2,1] [5,3,2,1,4,6] => [2,3,5,1,4,6] [5,3,2,1,6,4] => [2,3,5,6,1,4] [5,3,2,4,1,6] => [4,3,5,2,1,6] [5,3,2,4,6,1] => [6,3,5,2,4,1] [5,3,2,6,1,4] => [6,3,5,1,2,4] [5,3,2,6,4,1] => [4,3,6,5,1,2] [5,3,4,1,2,6] => [4,1,5,3,2,6] [5,3,4,1,6,2] => [4,6,5,3,1,2] [5,3,4,2,1,6] => [2,4,5,3,1,6] [5,3,4,2,6,1] => [6,4,5,3,2,1] [5,3,4,6,1,2] => [6,1,5,3,4,2] [5,3,4,6,2,1] => [2,6,5,3,4,1] [5,3,6,1,2,4] => [6,1,5,2,3,4] [5,3,6,1,4,2] => [6,4,5,1,3,2] [5,3,6,2,1,4] => [2,6,5,1,3,4] [5,3,6,2,4,1] => [4,6,5,2,3,1] [5,3,6,4,1,2] => [4,1,6,5,2,3] [5,3,6,4,2,1] => [2,4,6,5,1,3] [5,4,1,2,3,6] => [4,1,2,5,3,6] [5,4,1,2,6,3] => [4,1,5,6,3,2] [5,4,1,3,2,6] => [4,3,1,5,2,6] [5,4,1,3,6,2] => [4,5,1,6,2,3] [5,4,1,6,2,3] => [4,5,2,6,3,1] [5,4,1,6,3,2] => [4,3,5,6,2,1] [5,4,2,1,3,6] => [2,4,1,5,3,6] [5,4,2,1,6,3] => [2,4,5,6,3,1] [5,4,2,3,1,6] => [3,4,2,5,1,6] [5,4,2,3,6,1] => [6,4,2,5,3,1] [5,4,2,6,1,3] => [6,4,1,5,2,3] [5,4,2,6,3,1] => [3,6,4,5,1,2] [5,4,3,1,2,6] => [3,1,4,5,2,6] [5,4,3,1,6,2] => [3,4,5,6,1,2] [5,4,3,2,1,6] => [2,3,4,5,1,6] [5,4,3,2,6,1] => [6,3,4,5,2,1] [5,4,3,6,1,2] => [6,1,4,5,3,2] [5,4,3,6,2,1] => [2,6,4,5,3,1] [5,4,6,1,2,3] => [6,1,2,5,4,3] [5,4,6,1,3,2] => [6,3,1,5,4,2] [5,4,6,2,1,3] => [2,6,1,5,4,3] [5,4,6,2,3,1] => [3,6,2,5,4,1] [5,4,6,3,1,2] => [3,1,6,5,4,2] [5,4,6,3,2,1] => [2,3,6,5,4,1] [5,6,1,2,3,4] => [6,1,2,3,5,4] [5,6,1,2,4,3] => [6,1,4,2,5,3] [5,6,1,3,2,4] => [6,3,1,2,5,4] [5,6,1,3,4,2] => [6,4,1,3,5,2] [5,6,1,4,2,3] => [6,4,2,1,5,3] [5,6,1,4,3,2] => [6,3,4,1,5,2] [5,6,2,1,3,4] => [2,6,1,3,5,4] [5,6,2,1,4,3] => [2,6,4,1,5,3] [5,6,2,3,1,4] => [3,6,2,1,5,4] [5,6,2,3,4,1] => [4,6,2,3,5,1] [5,6,2,4,1,3] => [4,6,1,2,5,3] [5,6,2,4,3,1] => [3,4,6,1,5,2] [5,6,3,1,2,4] => [3,1,6,2,5,4] [5,6,3,1,4,2] => [3,6,4,2,5,1] [5,6,3,2,1,4] => [2,3,6,1,5,4] [5,6,3,2,4,1] => [4,3,6,2,5,1] [5,6,3,4,1,2] => [4,1,6,3,5,2] [5,6,3,4,2,1] => [2,4,6,3,5,1] [5,6,4,1,2,3] => [4,1,2,6,5,3] [5,6,4,1,3,2] => [4,3,1,6,5,2] [5,6,4,2,1,3] => [2,4,1,6,5,3] [5,6,4,2,3,1] => [3,4,2,6,5,1] [5,6,4,3,1,2] => [3,1,4,6,5,2] [5,6,4,3,2,1] => [2,3,4,6,5,1] [6,1,2,3,4,5] => [6,1,2,3,4,5] [6,1,2,3,5,4] => [6,1,2,5,3,4] [6,1,2,4,3,5] => [6,1,4,2,3,5] [6,1,2,4,5,3] => [6,1,5,2,4,3] [6,1,2,5,3,4] => [6,1,5,3,2,4] [6,1,2,5,4,3] => [6,1,4,5,2,3] [6,1,3,2,4,5] => [6,3,1,2,4,5] [6,1,3,2,5,4] => [6,3,1,5,2,4] [6,1,3,4,2,5] => [6,4,1,3,2,5] [6,1,3,4,5,2] => [6,5,1,2,3,4] [6,1,3,5,2,4] => [6,5,1,3,4,2] [6,1,3,5,4,2] => [6,4,1,5,3,2] [6,1,4,2,3,5] => [6,4,2,1,3,5] [6,1,4,2,5,3] => [6,4,5,1,2,3] [6,1,4,3,2,5] => [6,3,4,1,2,5] [6,1,4,3,5,2] => [6,5,4,1,3,2] [6,1,4,5,2,3] => [6,5,2,1,4,3] [6,1,4,5,3,2] => [6,3,5,1,4,2] [6,1,5,2,3,4] => [6,5,2,3,1,4] [6,1,5,2,4,3] => [6,5,4,2,1,3] [6,1,5,3,2,4] => [6,3,5,2,1,4] [6,1,5,3,4,2] => [6,4,5,3,1,2] [6,1,5,4,2,3] => [6,4,2,5,1,3] [6,1,5,4,3,2] => [6,3,4,5,1,2] [6,2,1,3,4,5] => [2,6,1,3,4,5] [6,2,1,3,5,4] => [2,6,1,5,3,4] [6,2,1,4,3,5] => [2,6,4,1,3,5] [6,2,1,4,5,3] => [2,6,5,1,4,3] [6,2,1,5,3,4] => [2,6,5,3,1,4] [6,2,1,5,4,3] => [2,6,4,5,1,3] [6,2,3,1,4,5] => [3,6,2,1,4,5] [6,2,3,1,5,4] => [3,6,2,5,1,4] [6,2,3,4,1,5] => [4,6,2,3,1,5] [6,2,3,4,5,1] => [5,6,2,3,4,1] [6,2,3,5,1,4] => [5,6,2,1,3,4] [6,2,3,5,4,1] => [4,5,2,6,1,3] [6,2,4,1,3,5] => [4,6,1,2,3,5] [6,2,4,1,5,3] => [4,6,5,2,1,3] [6,2,4,3,1,5] => [3,4,6,1,2,5] [6,2,4,3,5,1] => [5,6,4,2,3,1] [6,2,4,5,1,3] => [5,6,1,3,2,4] [6,2,4,5,3,1] => [3,5,6,2,1,4] [6,2,5,1,3,4] => [5,6,1,2,4,3] [6,2,5,1,4,3] => [5,6,4,1,2,3] [6,2,5,3,1,4] => [3,5,6,1,4,2] [6,2,5,3,4,1] => [4,6,5,3,2,1] [6,2,5,4,1,3] => [4,5,1,6,3,2] [6,2,5,4,3,1] => [3,4,5,6,2,1] [6,3,1,2,4,5] => [3,1,6,2,4,5] [6,3,1,2,5,4] => [3,1,6,5,2,4] [6,3,1,4,2,5] => [3,6,4,2,1,5] [6,3,1,4,5,2] => [3,6,5,1,2,4] [6,3,1,5,2,4] => [3,6,5,2,4,1] [6,3,1,5,4,2] => [3,6,4,5,2,1] [6,3,2,1,4,5] => [2,3,6,1,4,5] [6,3,2,1,5,4] => [2,3,6,5,1,4] [6,3,2,4,1,5] => [4,3,6,2,1,5] [6,3,2,4,5,1] => [5,3,6,2,4,1] [6,3,2,5,1,4] => [5,3,6,1,2,4] [6,3,2,5,4,1] => [4,3,5,6,1,2] [6,3,4,1,2,5] => [4,1,6,3,2,5] [6,3,4,1,5,2] => [4,5,6,3,1,2] [6,3,4,2,1,5] => [2,4,6,3,1,5] [6,3,4,2,5,1] => [5,4,6,3,2,1] [6,3,4,5,1,2] => [5,1,6,3,4,2] [6,3,4,5,2,1] => [2,5,6,3,4,1] [6,3,5,1,2,4] => [5,1,6,2,3,4] [6,3,5,1,4,2] => [5,4,6,1,3,2] [6,3,5,2,1,4] => [2,5,6,1,3,4] [6,3,5,2,4,1] => [4,5,6,2,3,1] [6,3,5,4,1,2] => [4,1,5,6,2,3] [6,3,5,4,2,1] => [2,4,5,6,1,3] [6,4,1,2,3,5] => [4,1,2,6,3,5] [6,4,1,2,5,3] => [4,1,6,5,3,2] [6,4,1,3,2,5] => [4,3,1,6,2,5] [6,4,1,3,5,2] => [4,6,1,5,2,3] [6,4,1,5,2,3] => [4,6,2,5,3,1] [6,4,1,5,3,2] => [4,3,6,5,2,1] [6,4,2,1,3,5] => [2,4,1,6,3,5] [6,4,2,1,5,3] => [2,4,6,5,3,1] [6,4,2,3,1,5] => [3,4,2,6,1,5] [6,4,2,3,5,1] => [5,4,2,6,3,1] [6,4,2,5,1,3] => [5,4,1,6,2,3] [6,4,2,5,3,1] => [3,5,4,6,1,2] [6,4,3,1,2,5] => [3,1,4,6,2,5] [6,4,3,1,5,2] => [3,4,6,5,1,2] [6,4,3,2,1,5] => [2,3,4,6,1,5] [6,4,3,2,5,1] => [5,3,4,6,2,1] [6,4,3,5,1,2] => [5,1,4,6,3,2] [6,4,3,5,2,1] => [2,5,4,6,3,1] [6,4,5,1,2,3] => [5,1,2,6,4,3] [6,4,5,1,3,2] => [5,3,1,6,4,2] [6,4,5,2,1,3] => [2,5,1,6,4,3] [6,4,5,2,3,1] => [3,5,2,6,4,1] [6,4,5,3,1,2] => [3,1,5,6,4,2] [6,4,5,3,2,1] => [2,3,5,6,4,1] [6,5,1,2,3,4] => [5,1,2,3,6,4] [6,5,1,2,4,3] => [5,1,4,2,6,3] [6,5,1,3,2,4] => [5,3,1,2,6,4] [6,5,1,3,4,2] => [5,4,1,3,6,2] [6,5,1,4,2,3] => [5,4,2,1,6,3] [6,5,1,4,3,2] => [5,3,4,1,6,2] [6,5,2,1,3,4] => [2,5,1,3,6,4] [6,5,2,1,4,3] => [2,5,4,1,6,3] [6,5,2,3,1,4] => [3,5,2,1,6,4] [6,5,2,3,4,1] => [4,5,2,3,6,1] [6,5,2,4,1,3] => [4,5,1,2,6,3] [6,5,2,4,3,1] => [3,4,5,1,6,2] [6,5,3,1,2,4] => [3,1,5,2,6,4] [6,5,3,1,4,2] => [3,5,4,2,6,1] [6,5,3,2,1,4] => [2,3,5,1,6,4] [6,5,3,2,4,1] => [4,3,5,2,6,1] [6,5,3,4,1,2] => [4,1,5,3,6,2] [6,5,3,4,2,1] => [2,4,5,3,6,1] [6,5,4,1,2,3] => [4,1,2,5,6,3] [6,5,4,1,3,2] => [4,3,1,5,6,2] [6,5,4,2,1,3] => [2,4,1,5,6,3] [6,5,4,2,3,1] => [3,4,2,5,6,1] [6,5,4,3,1,2] => [3,1,4,5,6,2] [6,5,4,3,2,1] => [2,3,4,5,6,1] [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] [1,2,3,5,7,6,4] => [1,2,3,6,5,7,4] [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] [1,2,3,6,4,7,5] => [1,2,3,6,7,4,5] [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] [1,2,3,6,7,5,4] => [1,2,3,5,7,6,4] [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] [1,2,3,7,4,6,5] => [1,2,3,7,6,4,5] [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] [1,2,3,7,5,6,4] => [1,2,3,6,7,5,4] [1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] [1,2,3,7,6,5,4] => [1,2,3,5,6,7,4] [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] [1,2,4,5,7,3,6] => [1,2,7,4,5,3,6] [1,2,4,5,7,6,3] => [1,2,6,4,5,7,3] [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] [1,2,4,6,3,7,5] => [1,2,6,4,7,3,5] [1,2,4,6,5,3,7] => [1,2,5,4,6,3,7] [1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] [1,2,4,6,7,5,3] => [1,2,5,4,7,6,3] [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] [1,2,4,7,3,6,5] => [1,2,7,4,6,3,5] [1,2,4,7,5,3,6] => [1,2,5,4,7,3,6] [1,2,4,7,5,6,3] => [1,2,6,4,7,5,3] [1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] [1,2,4,7,6,5,3] => [1,2,5,4,6,7,3] [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] [1,2,5,3,6,4,7] => [1,2,5,6,3,4,7] [1,2,5,3,6,7,4] => [1,2,5,7,3,6,4] [1,2,5,3,7,4,6] => [1,2,5,7,3,4,6] [1,2,5,3,7,6,4] => [1,2,5,6,3,7,4] [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] [1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] [1,2,5,4,7,3,6] => [1,2,7,5,4,3,6] [1,2,5,4,7,6,3] => [1,2,6,5,4,7,3] [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] [1,2,5,6,3,7,4] => [1,2,6,7,5,3,4] [1,2,5,6,4,3,7] => [1,2,4,6,5,3,7] [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] [1,2,5,6,7,3,4] => [1,2,7,3,5,6,4] [1,2,5,6,7,4,3] => [1,2,4,7,5,6,3] [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] [1,2,5,7,3,6,4] => [1,2,7,6,5,3,4] [1,2,5,7,4,3,6] => [1,2,4,7,5,3,6] [1,2,5,7,4,6,3] => [1,2,6,7,5,4,3] [1,2,5,7,6,3,4] => [1,2,6,3,5,7,4] [1,2,5,7,6,4,3] => [1,2,4,6,5,7,3] [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] [1,2,6,3,4,7,5] => [1,2,6,3,7,4,5] [1,2,6,3,5,4,7] => [1,2,6,5,3,4,7] [1,2,6,3,5,7,4] => [1,2,6,7,3,5,4] [1,2,6,3,7,4,5] => [1,2,6,7,4,3,5] [1,2,6,3,7,5,4] => [1,2,6,5,7,3,4] [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] [1,2,6,4,3,7,5] => [1,2,4,6,7,3,5] [1,2,6,4,5,3,7] => [1,2,5,6,4,3,7] [1,2,6,4,5,7,3] => [1,2,7,6,4,5,3] [1,2,6,4,7,3,5] => [1,2,7,6,3,4,5] [1,2,6,4,7,5,3] => [1,2,5,7,6,3,4] [1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] [1,2,6,5,3,7,4] => [1,2,5,6,7,4,3] [1,2,6,5,4,3,7] => [1,2,4,5,6,3,7] [1,2,6,5,4,7,3] => [1,2,7,5,6,4,3] [1,2,6,5,7,3,4] => [1,2,7,3,6,5,4] [1,2,6,5,7,4,3] => [1,2,4,7,6,5,3] [1,2,6,7,3,4,5] => [1,2,7,3,4,6,5] [1,2,6,7,3,5,4] => [1,2,7,5,3,6,4] [1,2,6,7,4,3,5] => [1,2,4,7,3,6,5] [1,2,6,7,4,5,3] => [1,2,5,7,4,6,3] [1,2,6,7,5,3,4] => [1,2,5,3,7,6,4] [1,2,6,7,5,4,3] => [1,2,4,5,7,6,3] [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] [1,2,7,3,4,6,5] => [1,2,7,3,6,4,5] [1,2,7,3,5,4,6] => [1,2,7,5,3,4,6] [1,2,7,3,5,6,4] => [1,2,7,6,3,5,4] [1,2,7,3,6,4,5] => [1,2,7,6,4,3,5] [1,2,7,3,6,5,4] => [1,2,7,5,6,3,4] [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] [1,2,7,4,3,6,5] => [1,2,4,7,6,3,5] [1,2,7,4,5,3,6] => [1,2,5,7,4,3,6] [1,2,7,4,5,6,3] => [1,2,6,7,4,5,3] [1,2,7,4,6,3,5] => [1,2,6,7,3,4,5] [1,2,7,4,6,5,3] => [1,2,5,6,7,3,4] [1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] [1,2,7,5,3,6,4] => [1,2,5,7,6,4,3] [1,2,7,5,4,3,6] => [1,2,4,5,7,3,6] [1,2,7,5,4,6,3] => [1,2,6,5,7,4,3] [1,2,7,5,6,3,4] => [1,2,6,3,7,5,4] [1,2,7,5,6,4,3] => [1,2,4,6,7,5,3] [1,2,7,6,3,4,5] => [1,2,6,3,4,7,5] [1,2,7,6,3,5,4] => [1,2,6,5,3,7,4] [1,2,7,6,4,3,5] => [1,2,4,6,3,7,5] [1,2,7,6,4,5,3] => [1,2,5,6,4,7,3] [1,2,7,6,5,3,4] => [1,2,5,3,6,7,4] [1,2,7,6,5,4,3] => [1,2,4,5,6,7,3] [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] [1,3,2,5,7,6,4] => [1,3,2,6,5,7,4] [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] [1,3,2,6,4,7,5] => [1,3,2,6,7,4,5] [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] [1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] [1,3,2,6,7,5,4] => [1,3,2,5,7,6,4] [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] [1,3,2,7,4,6,5] => [1,3,2,7,6,4,5] [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] [1,3,2,7,5,6,4] => [1,3,2,6,7,5,4] [1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] [1,3,2,7,6,5,4] => [1,3,2,5,6,7,4] [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] [1,3,4,2,7,5,6] => [1,4,3,2,7,5,6] [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] [1,3,4,5,7,2,6] => [1,7,3,4,5,2,6] [1,3,4,5,7,6,2] => [1,6,3,4,5,7,2] [1,3,4,6,2,5,7] => [1,6,3,4,2,5,7] [1,3,4,6,2,7,5] => [1,6,3,4,7,2,5] [1,3,4,6,5,2,7] => [1,5,3,4,6,2,7] [1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] [1,3,4,6,7,2,5] => [1,7,3,4,2,6,5] [1,3,4,6,7,5,2] => [1,5,3,4,7,6,2] [1,3,4,7,2,5,6] => [1,7,3,4,2,5,6] [1,3,4,7,2,6,5] => [1,7,3,4,6,2,5] [1,3,4,7,5,2,6] => [1,5,3,4,7,2,6] [1,3,4,7,5,6,2] => [1,6,3,4,7,5,2] [1,3,4,7,6,2,5] => [1,6,3,4,2,7,5] [1,3,4,7,6,5,2] => [1,5,3,4,6,7,2] [1,3,5,2,4,6,7] => [1,5,3,2,4,6,7] [1,3,5,2,4,7,6] => [1,5,3,2,4,7,6] [1,3,5,2,6,4,7] => [1,5,3,6,2,4,7] [1,3,5,2,6,7,4] => [1,5,3,7,2,6,4] [1,3,5,2,7,4,6] => [1,5,3,7,2,4,6] [1,3,5,2,7,6,4] => [1,5,3,6,2,7,4] [1,3,5,4,2,6,7] => [1,4,3,5,2,6,7] [1,3,5,4,2,7,6] => [1,4,3,5,2,7,6] [1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] [1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] [1,3,5,4,7,2,6] => [1,7,3,5,4,2,6] [1,3,5,4,7,6,2] => [1,6,3,5,4,7,2] [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] [1,3,5,6,2,7,4] => [1,6,3,7,5,2,4] [1,3,5,6,4,2,7] => [1,4,3,6,5,2,7] [1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] [1,3,5,6,7,2,4] => [1,7,3,2,5,6,4] [1,3,5,6,7,4,2] => [1,4,3,7,5,6,2] [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] [1,3,5,7,2,6,4] => [1,7,3,6,5,2,4] [1,3,5,7,4,2,6] => [1,4,3,7,5,2,6] [1,3,5,7,4,6,2] => [1,6,3,7,5,4,2] [1,3,5,7,6,2,4] => [1,6,3,2,5,7,4] [1,3,5,7,6,4,2] => [1,4,3,6,5,7,2] [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] [1,3,6,2,4,7,5] => [1,6,3,2,7,4,5] [1,3,6,2,5,4,7] => [1,6,3,5,2,4,7] [1,3,6,2,5,7,4] => [1,6,3,7,2,5,4] [1,3,6,2,7,4,5] => [1,6,3,7,4,2,5] [1,3,6,2,7,5,4] => [1,6,3,5,7,2,4] [1,3,6,4,2,5,7] => [1,4,3,6,2,5,7] [1,3,6,4,2,7,5] => [1,4,3,6,7,2,5] [1,3,6,4,5,2,7] => [1,5,3,6,4,2,7] [1,3,6,4,5,7,2] => [1,7,3,6,4,5,2] [1,3,6,4,7,2,5] => [1,7,3,6,2,4,5] [1,3,6,4,7,5,2] => [1,5,3,7,6,2,4] [1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] [1,3,6,5,2,7,4] => [1,5,3,6,7,4,2] [1,3,6,5,4,2,7] => [1,4,3,5,6,2,7] [1,3,6,5,4,7,2] => [1,7,3,5,6,4,2] [1,3,6,5,7,2,4] => [1,7,3,2,6,5,4] [1,3,6,5,7,4,2] => [1,4,3,7,6,5,2] [1,3,6,7,2,4,5] => [1,7,3,2,4,6,5] [1,3,6,7,2,5,4] => [1,7,3,5,2,6,4] [1,3,6,7,4,2,5] => [1,4,3,7,2,6,5] [1,3,6,7,4,5,2] => [1,5,3,7,4,6,2] [1,3,6,7,5,2,4] => [1,5,3,2,7,6,4] [1,3,6,7,5,4,2] => [1,4,3,5,7,6,2] [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] [1,3,7,2,4,6,5] => [1,7,3,2,6,4,5] [1,3,7,2,5,4,6] => [1,7,3,5,2,4,6] [1,3,7,2,5,6,4] => [1,7,3,6,2,5,4] [1,3,7,2,6,4,5] => [1,7,3,6,4,2,5] [1,3,7,2,6,5,4] => [1,7,3,5,6,2,4] [1,3,7,4,2,5,6] => [1,4,3,7,2,5,6] [1,3,7,4,2,6,5] => [1,4,3,7,6,2,5] [1,3,7,4,5,2,6] => [1,5,3,7,4,2,6] [1,3,7,4,5,6,2] => [1,6,3,7,4,5,2] [1,3,7,4,6,2,5] => [1,6,3,7,2,4,5] [1,3,7,4,6,5,2] => [1,5,3,6,7,2,4] [1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] [1,3,7,5,2,6,4] => [1,5,3,7,6,4,2] [1,3,7,5,4,2,6] => [1,4,3,5,7,2,6] [1,3,7,5,4,6,2] => [1,6,3,5,7,4,2] [1,3,7,5,6,2,4] => [1,6,3,2,7,5,4] [1,3,7,5,6,4,2] => [1,4,3,6,7,5,2] [1,3,7,6,2,4,5] => [1,6,3,2,4,7,5] [1,3,7,6,2,5,4] => [1,6,3,5,2,7,4] [1,3,7,6,4,2,5] => [1,4,3,6,2,7,5] [1,3,7,6,4,5,2] => [1,5,3,6,4,7,2] [1,3,7,6,5,2,4] => [1,5,3,2,6,7,4] [1,3,7,6,5,4,2] => [1,4,3,5,6,7,2] [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] [1,4,2,3,6,7,5] => [1,4,2,3,7,6,5] [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] [1,4,2,3,7,6,5] => [1,4,2,3,6,7,5] [1,4,2,5,3,6,7] => [1,4,5,2,3,6,7] [1,4,2,5,3,7,6] => [1,4,5,2,3,7,6] [1,4,2,5,6,3,7] => [1,4,6,2,5,3,7] [1,4,2,5,6,7,3] => [1,4,7,2,5,6,3] [1,4,2,5,7,3,6] => [1,4,7,2,5,3,6] [1,4,2,5,7,6,3] => [1,4,6,2,5,7,3] [1,4,2,6,3,5,7] => [1,4,6,2,3,5,7] [1,4,2,6,3,7,5] => [1,4,6,2,7,3,5] [1,4,2,6,5,3,7] => [1,4,5,2,6,3,7] [1,4,2,6,5,7,3] => [1,4,7,2,6,5,3] [1,4,2,6,7,3,5] => [1,4,7,2,3,6,5] [1,4,2,6,7,5,3] => [1,4,5,2,7,6,3] [1,4,2,7,3,5,6] => [1,4,7,2,3,5,6] [1,4,2,7,3,6,5] => [1,4,7,2,6,3,5] [1,4,2,7,5,3,6] => [1,4,5,2,7,3,6] [1,4,2,7,5,6,3] => [1,4,6,2,7,5,3] [1,4,2,7,6,3,5] => [1,4,6,2,3,7,5] [1,4,2,7,6,5,3] => [1,4,5,2,6,7,3] [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] [1,4,3,2,7,5,6] => [1,3,4,2,7,5,6] [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] [1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] [1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] [1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] [1,4,3,5,7,2,6] => [1,7,4,3,5,2,6] [1,4,3,5,7,6,2] => [1,6,4,3,5,7,2] [1,4,3,6,2,5,7] => [1,6,4,3,2,5,7] [1,4,3,6,2,7,5] => [1,6,4,3,7,2,5] [1,4,3,6,5,2,7] => [1,5,4,3,6,2,7] [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] [1,4,3,6,7,2,5] => [1,7,4,3,2,6,5] [1,4,3,6,7,5,2] => [1,5,4,3,7,6,2] [1,4,3,7,2,5,6] => [1,7,4,3,2,5,6] [1,4,3,7,2,6,5] => [1,7,4,3,6,2,5] [1,4,3,7,5,2,6] => [1,5,4,3,7,2,6] [1,4,3,7,5,6,2] => [1,6,4,3,7,5,2] [1,4,3,7,6,2,5] => [1,6,4,3,2,7,5] [1,4,3,7,6,5,2] => [1,5,4,3,6,7,2] [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] [1,4,5,2,6,3,7] => [1,5,6,4,2,3,7] [1,4,5,2,6,7,3] => [1,5,7,4,2,6,3] [1,4,5,2,7,3,6] => [1,5,7,4,2,3,6] [1,4,5,2,7,6,3] => [1,5,6,4,2,7,3] [1,4,5,3,2,6,7] => [1,3,5,4,2,6,7] [1,4,5,3,2,7,6] => [1,3,5,4,2,7,6] [1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] [1,4,5,3,7,2,6] => [1,7,5,4,3,2,6] [1,4,5,3,7,6,2] => [1,6,5,4,3,7,2] [1,4,5,6,2,3,7] => [1,6,2,4,5,3,7] [1,4,5,6,2,7,3] => [1,6,7,4,5,2,3] [1,4,5,6,3,2,7] => [1,3,6,4,5,2,7] [1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] [1,4,5,6,7,2,3] => [1,7,2,4,5,6,3] [1,4,5,6,7,3,2] => [1,3,7,4,5,6,2] [1,4,5,7,2,3,6] => [1,7,2,4,5,3,6] [1,4,5,7,2,6,3] => [1,7,6,4,5,2,3] [1,4,5,7,3,2,6] => [1,3,7,4,5,2,6] [1,4,5,7,3,6,2] => [1,6,7,4,5,3,2] [1,4,5,7,6,2,3] => [1,6,2,4,5,7,3] [1,4,5,7,6,3,2] => [1,3,6,4,5,7,2] [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] [1,4,6,2,3,7,5] => [1,6,2,4,7,3,5] [1,4,6,2,5,3,7] => [1,6,5,4,2,3,7] [1,4,6,2,5,7,3] => [1,6,7,4,2,5,3] [1,4,6,2,7,3,5] => [1,6,7,4,3,2,5] [1,4,6,2,7,5,3] => [1,6,5,4,7,2,3] [1,4,6,3,2,5,7] => [1,3,6,4,2,5,7] [1,4,6,3,2,7,5] => [1,3,6,4,7,2,5] [1,4,6,3,5,2,7] => [1,5,6,4,3,2,7] [1,4,6,3,5,7,2] => [1,7,6,4,3,5,2] [1,4,6,3,7,2,5] => [1,7,6,4,2,3,5] [1,4,6,3,7,5,2] => [1,5,7,4,6,2,3] [1,4,6,5,2,3,7] => [1,5,2,4,6,3,7] [1,4,6,5,2,7,3] => [1,5,6,4,7,3,2] [1,4,6,5,3,2,7] => [1,3,5,4,6,2,7] ----------------------------------------------------------------------------- Created: Jul 14, 2021 at 17:18 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Jul 14, 2021 at 17:18 by Martin Rubey