************************************************************************ * 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: Mp00236 ------------------------------------------------------------------------ Map name: Clarke-Steingrimsson-Zeng inverse ------------------------------------------------------------------------ Domain: Permutations ------------------------------------------------------------------------ Codomain: Permutations ------------------------------------------------------------------------ Description: The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents. This is the inverse of the map \$\Phi\$ in [1, sec.3]. ------------------------------------------------------------------------ References: [1] Clarke, R. J., Steingr\'ımsson, E., Zeng, J. New Euler-Mahonian statistics on permutations and words [[MathSciNet:1436481]] ------------------------------------------------------------------------ Code: def mapping(tau): tau = Permutation(tau) if not tau: return tau f = sorted([i+1 for i in range(len(tau)) if tau[i] > i+1]) g = sorted([i+1 for i in range(len(tau)) if tau[i] <= i+1]) F = set(f) G = set(g) F1 = set([tau[i-1] for i in F]) G1 = set([tau[i-1] for i in G]) openers = F.intersection(G1) closers = G.intersection(F1) insider = F.intersection(F1) outside = G.intersection(G1) assert len(list(openers) + list(closers) + list(insider) + list(outside)) == len(tau) # embracing numbers of pi are side numbers of tau E = [] for i in range(len(tau)): if tau[i] > i+1: E.append(sum(1 for j in range(i) if tau[j] > tau[i])) else: E.append(sum(1 for j in range(i+1, len(tau)) if tau[j] < tau[i])) S = [] # Clarke's skeleton if 1 in outside: S.append([1]) elif 1 in openers: S.append([1, infinity]) tau_inv = tau.inverse() def find_open_block(e): i = len(S)-1 while True: if infinity in S[i]: if e == 0: assert i >= 0 return i e -= 1 i -= 1 for a in range(2, len(tau)+1): e = E[tau_inv[a-1]-1] if a in insider: i = find_open_block(e) S[i].append(a) elif a in closers: i = find_open_block(e) S[i].append(a) S[i].remove(infinity) elif a in outside: if e: i = find_open_block(e-1) else: i = len(S) S.insert(i, [a]) elif a in openers: if e: i = find_open_block(e-1) else: i = len(S) S.insert(i, [a, infinity]) return Permutation(sum((sorted(s, reverse=True) for s in S), [])) ------------------------------------------------------------------------ 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] => [4,3,2,1] [2,4,1,3] => [4,2,1,3] [2,4,3,1] => [3,4,2,1] [3,1,2,4] => [3,1,2,4] [3,1,4,2] => [4,3,1,2] [3,2,1,4] => [2,3,1,4] [3,2,4,1] => [2,4,3,1] [3,4,1,2] => [4,1,3,2] [3,4,2,1] => [4,2,3,1] [4,1,2,3] => [4,1,2,3] [4,1,3,2] => [3,4,1,2] [4,2,1,3] => [2,4,1,3] [4,2,3,1] => [2,3,4,1] [4,3,1,2] => [3,1,4,2] [4,3,2,1] => [3,2,4,1] [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] => [1,5,4,3,2] [1,3,5,2,4] => [1,5,3,2,4] [1,3,5,4,2] => [1,4,5,3,2] [1,4,2,3,5] => [1,4,2,3,5] [1,4,2,5,3] => [1,5,4,2,3] [1,4,3,2,5] => [1,3,4,2,5] [1,4,3,5,2] => [1,3,5,4,2] [1,4,5,2,3] => [1,5,2,4,3] [1,4,5,3,2] => [1,5,3,4,2] [1,5,2,3,4] => [1,5,2,3,4] [1,5,2,4,3] => [1,4,5,2,3] [1,5,3,2,4] => [1,3,5,2,4] [1,5,3,4,2] => [1,3,4,5,2] [1,5,4,2,3] => [1,4,2,5,3] [1,5,4,3,2] => [1,4,3,5,2] [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] => [4,3,2,1,5] [2,3,4,5,1] => [5,4,3,2,1] [2,3,5,1,4] => [5,3,2,1,4] [2,3,5,4,1] => [4,5,3,2,1] [2,4,1,3,5] => [4,2,1,3,5] [2,4,1,5,3] => [5,4,2,1,3] [2,4,3,1,5] => [3,4,2,1,5] [2,4,3,5,1] => [3,5,4,2,1] [2,4,5,1,3] => [5,2,1,4,3] [2,4,5,3,1] => [5,3,4,2,1] [2,5,1,3,4] => [5,2,1,3,4] [2,5,1,4,3] => [4,5,2,1,3] [2,5,3,1,4] => [3,5,2,1,4] [2,5,3,4,1] => [3,4,5,2,1] [2,5,4,1,3] => [4,2,1,5,3] [2,5,4,3,1] => [4,3,5,2,1] [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] => [4,3,1,2,5] [3,1,4,5,2] => [5,4,3,1,2] [3,1,5,2,4] => [5,3,1,2,4] [3,1,5,4,2] => [4,5,3,1,2] [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] => [2,4,3,1,5] [3,2,4,5,1] => [2,5,4,3,1] [3,2,5,1,4] => [2,5,3,1,4] [3,2,5,4,1] => [2,4,5,3,1] [3,4,1,2,5] => [4,1,3,2,5] [3,4,1,5,2] => [5,4,1,3,2] [3,4,2,1,5] => [4,2,3,1,5] [3,4,2,5,1] => [5,4,2,3,1] [3,4,5,1,2] => [5,1,4,3,2] [3,4,5,2,1] => [5,2,4,3,1] [3,5,1,2,4] => [5,1,3,2,4] [3,5,1,4,2] => [4,5,1,3,2] [3,5,2,1,4] => [5,2,3,1,4] [3,5,2,4,1] => [4,5,2,3,1] [3,5,4,1,2] => [4,1,5,3,2] [3,5,4,2,1] => [4,2,5,3,1] [4,1,2,3,5] => [4,1,2,3,5] [4,1,2,5,3] => [5,4,1,2,3] [4,1,3,2,5] => [3,4,1,2,5] [4,1,3,5,2] => [3,5,4,1,2] [4,1,5,2,3] => [5,1,2,4,3] [4,1,5,3,2] => [5,3,4,1,2] [4,2,1,3,5] => [2,4,1,3,5] [4,2,1,5,3] => [2,5,4,1,3] [4,2,3,1,5] => [2,3,4,1,5] [4,2,3,5,1] => [2,3,5,4,1] [4,2,5,1,3] => [2,5,1,4,3] [4,2,5,3,1] => [2,5,3,4,1] [4,3,1,2,5] => [3,1,4,2,5] [4,3,1,5,2] => [3,1,5,4,2] [4,3,2,1,5] => [3,2,4,1,5] [4,3,2,5,1] => [3,2,5,4,1] [4,3,5,1,2] => [5,3,1,4,2] [4,3,5,2,1] => [5,3,2,4,1] [4,5,1,2,3] => [5,1,4,2,3] [4,5,1,3,2] => [5,1,3,4,2] [4,5,2,1,3] => [5,2,4,1,3] [4,5,2,3,1] => [5,2,3,4,1] [4,5,3,1,2] => [3,5,1,4,2] [4,5,3,2,1] => [3,5,2,4,1] [5,1,2,3,4] => [5,1,2,3,4] [5,1,2,4,3] => [4,5,1,2,3] [5,1,3,2,4] => [3,5,1,2,4] [5,1,3,4,2] => [3,4,5,1,2] [5,1,4,2,3] => [4,1,2,5,3] [5,1,4,3,2] => [4,3,5,1,2] [5,2,1,3,4] => [2,5,1,3,4] [5,2,1,4,3] => [2,4,5,1,3] [5,2,3,1,4] => [2,3,5,1,4] [5,2,3,4,1] => [2,3,4,5,1] [5,2,4,1,3] => [2,4,1,5,3] [5,2,4,3,1] => [2,4,3,5,1] [5,3,1,2,4] => [3,1,5,2,4] [5,3,1,4,2] => [3,1,4,5,2] [5,3,2,1,4] => [3,2,5,1,4] [5,3,2,4,1] => [3,2,4,5,1] [5,3,4,1,2] => [4,3,1,5,2] [5,3,4,2,1] => [4,3,2,5,1] [5,4,1,2,3] => [4,1,5,2,3] [5,4,1,3,2] => [4,1,3,5,2] [5,4,2,1,3] => [4,2,5,1,3] [5,4,2,3,1] => [4,2,3,5,1] [5,4,3,1,2] => [3,4,1,5,2] [5,4,3,2,1] => [3,4,2,5,1] [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] => [1,2,6,5,4,3] [1,2,4,6,3,5] => [1,2,6,4,3,5] [1,2,4,6,5,3] => [1,2,5,6,4,3] [1,2,5,3,4,6] => [1,2,5,3,4,6] [1,2,5,3,6,4] => [1,2,6,5,3,4] [1,2,5,4,3,6] => [1,2,4,5,3,6] [1,2,5,4,6,3] => [1,2,4,6,5,3] [1,2,5,6,3,4] => [1,2,6,3,5,4] [1,2,5,6,4,3] => [1,2,6,4,5,3] [1,2,6,3,4,5] => [1,2,6,3,4,5] [1,2,6,3,5,4] => [1,2,5,6,3,4] [1,2,6,4,3,5] => [1,2,4,6,3,5] [1,2,6,4,5,3] => [1,2,4,5,6,3] [1,2,6,5,3,4] => [1,2,5,3,6,4] [1,2,6,5,4,3] => [1,2,5,4,6,3] [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] => [1,5,4,3,2,6] [1,3,4,5,6,2] => [1,6,5,4,3,2] [1,3,4,6,2,5] => [1,6,4,3,2,5] [1,3,4,6,5,2] => [1,5,6,4,3,2] [1,3,5,2,4,6] => [1,5,3,2,4,6] [1,3,5,2,6,4] => [1,6,5,3,2,4] [1,3,5,4,2,6] => [1,4,5,3,2,6] [1,3,5,4,6,2] => [1,4,6,5,3,2] [1,3,5,6,2,4] => [1,6,3,2,5,4] [1,3,5,6,4,2] => [1,6,4,5,3,2] [1,3,6,2,4,5] => [1,6,3,2,4,5] [1,3,6,2,5,4] => [1,5,6,3,2,4] [1,3,6,4,2,5] => [1,4,6,3,2,5] [1,3,6,4,5,2] => [1,4,5,6,3,2] [1,3,6,5,2,4] => [1,5,3,2,6,4] [1,3,6,5,4,2] => [1,5,4,6,3,2] [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] => [1,5,4,2,3,6] [1,4,2,5,6,3] => [1,6,5,4,2,3] [1,4,2,6,3,5] => [1,6,4,2,3,5] [1,4,2,6,5,3] => [1,5,6,4,2,3] [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] => [1,3,5,4,2,6] [1,4,3,5,6,2] => [1,3,6,5,4,2] [1,4,3,6,2,5] => [1,3,6,4,2,5] [1,4,3,6,5,2] => [1,3,5,6,4,2] [1,4,5,2,3,6] => [1,5,2,4,3,6] [1,4,5,2,6,3] => [1,6,5,2,4,3] [1,4,5,3,2,6] => [1,5,3,4,2,6] [1,4,5,3,6,2] => [1,6,5,3,4,2] [1,4,5,6,2,3] => [1,6,2,5,4,3] [1,4,5,6,3,2] => [1,6,3,5,4,2] [1,4,6,2,3,5] => [1,6,2,4,3,5] [1,4,6,2,5,3] => [1,5,6,2,4,3] [1,4,6,3,2,5] => [1,6,3,4,2,5] [1,4,6,3,5,2] => [1,5,6,3,4,2] [1,4,6,5,2,3] => [1,5,2,6,4,3] [1,4,6,5,3,2] => [1,5,3,6,4,2] [1,5,2,3,4,6] => [1,5,2,3,4,6] [1,5,2,3,6,4] => [1,6,5,2,3,4] [1,5,2,4,3,6] => [1,4,5,2,3,6] [1,5,2,4,6,3] => [1,4,6,5,2,3] [1,5,2,6,3,4] => [1,6,2,3,5,4] [1,5,2,6,4,3] => [1,6,4,5,2,3] [1,5,3,2,4,6] => [1,3,5,2,4,6] [1,5,3,2,6,4] => [1,3,6,5,2,4] [1,5,3,4,2,6] => [1,3,4,5,2,6] [1,5,3,4,6,2] => [1,3,4,6,5,2] [1,5,3,6,2,4] => [1,3,6,2,5,4] [1,5,3,6,4,2] => [1,3,6,4,5,2] [1,5,4,2,3,6] => [1,4,2,5,3,6] [1,5,4,2,6,3] => [1,4,2,6,5,3] [1,5,4,3,2,6] => [1,4,3,5,2,6] [1,5,4,3,6,2] => [1,4,3,6,5,2] [1,5,4,6,2,3] => [1,6,4,2,5,3] [1,5,4,6,3,2] => [1,6,4,3,5,2] [1,5,6,2,3,4] => [1,6,2,5,3,4] [1,5,6,2,4,3] => [1,6,2,4,5,3] [1,5,6,3,2,4] => [1,6,3,5,2,4] [1,5,6,3,4,2] => [1,6,3,4,5,2] [1,5,6,4,2,3] => [1,4,6,2,5,3] [1,5,6,4,3,2] => [1,4,6,3,5,2] [1,6,2,3,4,5] => [1,6,2,3,4,5] [1,6,2,3,5,4] => [1,5,6,2,3,4] [1,6,2,4,3,5] => [1,4,6,2,3,5] [1,6,2,4,5,3] => [1,4,5,6,2,3] [1,6,2,5,3,4] => [1,5,2,3,6,4] [1,6,2,5,4,3] => [1,5,4,6,2,3] [1,6,3,2,4,5] => [1,3,6,2,4,5] [1,6,3,2,5,4] => [1,3,5,6,2,4] [1,6,3,4,2,5] => [1,3,4,6,2,5] [1,6,3,4,5,2] => [1,3,4,5,6,2] [1,6,3,5,2,4] => [1,3,5,2,6,4] [1,6,3,5,4,2] => [1,3,5,4,6,2] [1,6,4,2,3,5] => [1,4,2,6,3,5] [1,6,4,2,5,3] => [1,4,2,5,6,3] [1,6,4,3,2,5] => [1,4,3,6,2,5] [1,6,4,3,5,2] => [1,4,3,5,6,2] [1,6,4,5,2,3] => [1,5,4,2,6,3] [1,6,4,5,3,2] => [1,5,4,3,6,2] [1,6,5,2,3,4] => [1,5,2,6,3,4] [1,6,5,2,4,3] => [1,5,2,4,6,3] [1,6,5,3,2,4] => [1,5,3,6,2,4] [1,6,5,3,4,2] => [1,5,3,4,6,2] [1,6,5,4,2,3] => [1,4,5,2,6,3] [1,6,5,4,3,2] => [1,4,5,3,6,2] [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] => [2,1,6,5,4,3] [2,1,4,6,3,5] => [2,1,6,4,3,5] [2,1,4,6,5,3] => [2,1,5,6,4,3] [2,1,5,3,4,6] => [2,1,5,3,4,6] [2,1,5,3,6,4] => [2,1,6,5,3,4] [2,1,5,4,3,6] => [2,1,4,5,3,6] [2,1,5,4,6,3] => [2,1,4,6,5,3] [2,1,5,6,3,4] => [2,1,6,3,5,4] [2,1,5,6,4,3] => [2,1,6,4,5,3] [2,1,6,3,4,5] => [2,1,6,3,4,5] [2,1,6,3,5,4] => [2,1,5,6,3,4] [2,1,6,4,3,5] => [2,1,4,6,3,5] [2,1,6,4,5,3] => [2,1,4,5,6,3] [2,1,6,5,3,4] => [2,1,5,3,6,4] [2,1,6,5,4,3] => [2,1,5,4,6,3] [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] => [4,3,2,1,5,6] [2,3,4,1,6,5] => [4,3,2,1,6,5] [2,3,4,5,1,6] => [5,4,3,2,1,6] [2,3,4,5,6,1] => [6,5,4,3,2,1] [2,3,4,6,1,5] => [6,4,3,2,1,5] [2,3,4,6,5,1] => [5,6,4,3,2,1] [2,3,5,1,4,6] => [5,3,2,1,4,6] [2,3,5,1,6,4] => [6,5,3,2,1,4] [2,3,5,4,1,6] => [4,5,3,2,1,6] [2,3,5,4,6,1] => [4,6,5,3,2,1] [2,3,5,6,1,4] => [6,3,2,1,5,4] [2,3,5,6,4,1] => [6,4,5,3,2,1] [2,3,6,1,4,5] => [6,3,2,1,4,5] [2,3,6,1,5,4] => [5,6,3,2,1,4] [2,3,6,4,1,5] => [4,6,3,2,1,5] [2,3,6,4,5,1] => [4,5,6,3,2,1] [2,3,6,5,1,4] => [5,3,2,1,6,4] [2,3,6,5,4,1] => [5,4,6,3,2,1] [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] => [5,4,2,1,3,6] [2,4,1,5,6,3] => [6,5,4,2,1,3] [2,4,1,6,3,5] => [6,4,2,1,3,5] [2,4,1,6,5,3] => [5,6,4,2,1,3] [2,4,3,1,5,6] => [3,4,2,1,5,6] [2,4,3,1,6,5] => [3,4,2,1,6,5] [2,4,3,5,1,6] => [3,5,4,2,1,6] [2,4,3,5,6,1] => [3,6,5,4,2,1] [2,4,3,6,1,5] => [3,6,4,2,1,5] [2,4,3,6,5,1] => [3,5,6,4,2,1] [2,4,5,1,3,6] => [5,2,1,4,3,6] [2,4,5,1,6,3] => [6,5,2,1,4,3] [2,4,5,3,1,6] => [5,3,4,2,1,6] [2,4,5,3,6,1] => [6,5,3,4,2,1] [2,4,5,6,1,3] => [6,2,1,5,4,3] [2,4,5,6,3,1] => [6,3,5,4,2,1] [2,4,6,1,3,5] => [6,2,1,4,3,5] [2,4,6,1,5,3] => [5,6,2,1,4,3] [2,4,6,3,1,5] => [6,3,4,2,1,5] [2,4,6,3,5,1] => [5,6,3,4,2,1] [2,4,6,5,1,3] => [5,2,1,6,4,3] [2,4,6,5,3,1] => [5,3,6,4,2,1] [2,5,1,3,4,6] => [5,2,1,3,4,6] [2,5,1,3,6,4] => [6,5,2,1,3,4] [2,5,1,4,3,6] => [4,5,2,1,3,6] [2,5,1,4,6,3] => [4,6,5,2,1,3] [2,5,1,6,3,4] => [6,2,1,3,5,4] [2,5,1,6,4,3] => [6,4,5,2,1,3] [2,5,3,1,4,6] => [3,5,2,1,4,6] [2,5,3,1,6,4] => [3,6,5,2,1,4] [2,5,3,4,1,6] => [3,4,5,2,1,6] [2,5,3,4,6,1] => [3,4,6,5,2,1] [2,5,3,6,1,4] => [3,6,2,1,5,4] [2,5,3,6,4,1] => [3,6,4,5,2,1] [2,5,4,1,3,6] => [4,2,1,5,3,6] [2,5,4,1,6,3] => [4,2,1,6,5,3] [2,5,4,3,1,6] => [4,3,5,2,1,6] [2,5,4,3,6,1] => [4,3,6,5,2,1] [2,5,4,6,1,3] => [6,4,2,1,5,3] [2,5,4,6,3,1] => [6,4,3,5,2,1] [2,5,6,1,3,4] => [6,2,1,5,3,4] [2,5,6,1,4,3] => [6,2,1,4,5,3] [2,5,6,3,1,4] => [6,3,5,2,1,4] [2,5,6,3,4,1] => [6,3,4,5,2,1] [2,5,6,4,1,3] => [4,6,2,1,5,3] [2,5,6,4,3,1] => [4,6,3,5,2,1] [2,6,1,3,4,5] => [6,2,1,3,4,5] [2,6,1,3,5,4] => [5,6,2,1,3,4] [2,6,1,4,3,5] => [4,6,2,1,3,5] [2,6,1,4,5,3] => [4,5,6,2,1,3] [2,6,1,5,3,4] => [5,2,1,3,6,4] [2,6,1,5,4,3] => [5,4,6,2,1,3] [2,6,3,1,4,5] => [3,6,2,1,4,5] [2,6,3,1,5,4] => [3,5,6,2,1,4] [2,6,3,4,1,5] => [3,4,6,2,1,5] [2,6,3,4,5,1] => [3,4,5,6,2,1] [2,6,3,5,1,4] => [3,5,2,1,6,4] [2,6,3,5,4,1] => [3,5,4,6,2,1] [2,6,4,1,3,5] => [4,2,1,6,3,5] [2,6,4,1,5,3] => [4,2,1,5,6,3] [2,6,4,3,1,5] => [4,3,6,2,1,5] [2,6,4,3,5,1] => [4,3,5,6,2,1] [2,6,4,5,1,3] => [5,4,2,1,6,3] [2,6,4,5,3,1] => [5,4,3,6,2,1] [2,6,5,1,3,4] => [5,2,1,6,3,4] [2,6,5,1,4,3] => [5,2,1,4,6,3] [2,6,5,3,1,4] => [5,3,6,2,1,4] [2,6,5,3,4,1] => [5,3,4,6,2,1] [2,6,5,4,1,3] => [4,5,2,1,6,3] [2,6,5,4,3,1] => [4,5,3,6,2,1] [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] => [4,3,1,2,5,6] [3,1,4,2,6,5] => [4,3,1,2,6,5] [3,1,4,5,2,6] => [5,4,3,1,2,6] [3,1,4,5,6,2] => [6,5,4,3,1,2] [3,1,4,6,2,5] => [6,4,3,1,2,5] [3,1,4,6,5,2] => [5,6,4,3,1,2] [3,1,5,2,4,6] => [5,3,1,2,4,6] [3,1,5,2,6,4] => [6,5,3,1,2,4] [3,1,5,4,2,6] => [4,5,3,1,2,6] [3,1,5,4,6,2] => [4,6,5,3,1,2] [3,1,5,6,2,4] => [6,3,1,2,5,4] [3,1,5,6,4,2] => [6,4,5,3,1,2] [3,1,6,2,4,5] => [6,3,1,2,4,5] [3,1,6,2,5,4] => [5,6,3,1,2,4] [3,1,6,4,2,5] => [4,6,3,1,2,5] [3,1,6,4,5,2] => [4,5,6,3,1,2] [3,1,6,5,2,4] => [5,3,1,2,6,4] [3,1,6,5,4,2] => [5,4,6,3,1,2] [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] => [2,4,3,1,5,6] [3,2,4,1,6,5] => [2,4,3,1,6,5] [3,2,4,5,1,6] => [2,5,4,3,1,6] [3,2,4,5,6,1] => [2,6,5,4,3,1] [3,2,4,6,1,5] => [2,6,4,3,1,5] [3,2,4,6,5,1] => [2,5,6,4,3,1] [3,2,5,1,4,6] => [2,5,3,1,4,6] [3,2,5,1,6,4] => [2,6,5,3,1,4] [3,2,5,4,1,6] => [2,4,5,3,1,6] [3,2,5,4,6,1] => [2,4,6,5,3,1] [3,2,5,6,1,4] => [2,6,3,1,5,4] [3,2,5,6,4,1] => [2,6,4,5,3,1] [3,2,6,1,4,5] => [2,6,3,1,4,5] [3,2,6,1,5,4] => [2,5,6,3,1,4] [3,2,6,4,1,5] => [2,4,6,3,1,5] [3,2,6,4,5,1] => [2,4,5,6,3,1] [3,2,6,5,1,4] => [2,5,3,1,6,4] [3,2,6,5,4,1] => [2,5,4,6,3,1] [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] => [5,4,1,3,2,6] [3,4,1,5,6,2] => [6,5,4,1,3,2] [3,4,1,6,2,5] => [6,4,1,3,2,5] [3,4,1,6,5,2] => [5,6,4,1,3,2] [3,4,2,1,5,6] => [4,2,3,1,5,6] [3,4,2,1,6,5] => [4,2,3,1,6,5] [3,4,2,5,1,6] => [5,4,2,3,1,6] [3,4,2,5,6,1] => [6,5,4,2,3,1] [3,4,2,6,1,5] => [6,4,2,3,1,5] [3,4,2,6,5,1] => [5,6,4,2,3,1] [3,4,5,1,2,6] => [5,1,4,3,2,6] [3,4,5,1,6,2] => [6,5,1,4,3,2] [3,4,5,2,1,6] => [5,2,4,3,1,6] [3,4,5,2,6,1] => [6,5,2,4,3,1] [3,4,5,6,1,2] => [6,1,5,4,3,2] [3,4,5,6,2,1] => [6,2,5,4,3,1] [3,4,6,1,2,5] => [6,1,4,3,2,5] [3,4,6,1,5,2] => [5,6,1,4,3,2] [3,4,6,2,1,5] => [6,2,4,3,1,5] [3,4,6,2,5,1] => [5,6,2,4,3,1] [3,4,6,5,1,2] => [5,1,6,4,3,2] [3,4,6,5,2,1] => [5,2,6,4,3,1] [3,5,1,2,4,6] => [5,1,3,2,4,6] [3,5,1,2,6,4] => [6,5,1,3,2,4] [3,5,1,4,2,6] => [4,5,1,3,2,6] [3,5,1,4,6,2] => [4,6,5,1,3,2] [3,5,1,6,2,4] => [6,1,3,2,5,4] [3,5,1,6,4,2] => [6,4,5,1,3,2] [3,5,2,1,4,6] => [5,2,3,1,4,6] [3,5,2,1,6,4] => [6,5,2,3,1,4] [3,5,2,4,1,6] => [4,5,2,3,1,6] [3,5,2,4,6,1] => [4,6,5,2,3,1] [3,5,2,6,1,4] => [6,2,3,1,5,4] [3,5,2,6,4,1] => [6,4,5,2,3,1] [3,5,4,1,2,6] => [4,1,5,3,2,6] [3,5,4,1,6,2] => [4,1,6,5,3,2] [3,5,4,2,1,6] => [4,2,5,3,1,6] [3,5,4,2,6,1] => [4,2,6,5,3,1] [3,5,4,6,1,2] => [6,4,1,5,3,2] [3,5,4,6,2,1] => [6,4,2,5,3,1] [3,5,6,1,2,4] => [6,1,5,3,2,4] [3,5,6,1,4,2] => [6,1,4,5,3,2] [3,5,6,2,1,4] => [6,2,5,3,1,4] [3,5,6,2,4,1] => [6,2,4,5,3,1] [3,5,6,4,1,2] => [4,6,1,5,3,2] [3,5,6,4,2,1] => [4,6,2,5,3,1] [3,6,1,2,4,5] => [6,1,3,2,4,5] [3,6,1,2,5,4] => [5,6,1,3,2,4] [3,6,1,4,2,5] => [4,6,1,3,2,5] [3,6,1,4,5,2] => [4,5,6,1,3,2] [3,6,1,5,2,4] => [5,1,3,2,6,4] [3,6,1,5,4,2] => [5,4,6,1,3,2] [3,6,2,1,4,5] => [6,2,3,1,4,5] [3,6,2,1,5,4] => [5,6,2,3,1,4] [3,6,2,4,1,5] => [4,6,2,3,1,5] [3,6,2,4,5,1] => [4,5,6,2,3,1] [3,6,2,5,1,4] => [5,2,3,1,6,4] [3,6,2,5,4,1] => [5,4,6,2,3,1] [3,6,4,1,2,5] => [4,1,6,3,2,5] [3,6,4,1,5,2] => [4,1,5,6,3,2] [3,6,4,2,1,5] => [4,2,6,3,1,5] [3,6,4,2,5,1] => [4,2,5,6,3,1] [3,6,4,5,1,2] => [5,4,1,6,3,2] [3,6,4,5,2,1] => [5,4,2,6,3,1] [3,6,5,1,2,4] => [5,1,6,3,2,4] [3,6,5,1,4,2] => [5,1,4,6,3,2] [3,6,5,2,1,4] => [5,2,6,3,1,4] [3,6,5,2,4,1] => [5,2,4,6,3,1] [3,6,5,4,1,2] => [4,5,1,6,3,2] [3,6,5,4,2,1] => [4,5,2,6,3,1] [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] => [5,4,1,2,3,6] [4,1,2,5,6,3] => [6,5,4,1,2,3] [4,1,2,6,3,5] => [6,4,1,2,3,5] [4,1,2,6,5,3] => [5,6,4,1,2,3] [4,1,3,2,5,6] => [3,4,1,2,5,6] [4,1,3,2,6,5] => [3,4,1,2,6,5] [4,1,3,5,2,6] => [3,5,4,1,2,6] [4,1,3,5,6,2] => [3,6,5,4,1,2] [4,1,3,6,2,5] => [3,6,4,1,2,5] [4,1,3,6,5,2] => [3,5,6,4,1,2] [4,1,5,2,3,6] => [5,1,2,4,3,6] [4,1,5,2,6,3] => [6,5,1,2,4,3] [4,1,5,3,2,6] => [5,3,4,1,2,6] [4,1,5,3,6,2] => [6,5,3,4,1,2] [4,1,5,6,2,3] => [6,1,2,5,4,3] [4,1,5,6,3,2] => [6,3,5,4,1,2] [4,1,6,2,3,5] => [6,1,2,4,3,5] [4,1,6,2,5,3] => [5,6,1,2,4,3] [4,1,6,3,2,5] => [6,3,4,1,2,5] [4,1,6,3,5,2] => [5,6,3,4,1,2] [4,1,6,5,2,3] => [5,1,2,6,4,3] [4,1,6,5,3,2] => [5,3,6,4,1,2] [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] => [2,5,4,1,3,6] [4,2,1,5,6,3] => [2,6,5,4,1,3] [4,2,1,6,3,5] => [2,6,4,1,3,5] [4,2,1,6,5,3] => [2,5,6,4,1,3] [4,2,3,1,5,6] => [2,3,4,1,5,6] [4,2,3,1,6,5] => [2,3,4,1,6,5] [4,2,3,5,1,6] => [2,3,5,4,1,6] [4,2,3,5,6,1] => [2,3,6,5,4,1] [4,2,3,6,1,5] => [2,3,6,4,1,5] [4,2,3,6,5,1] => [2,3,5,6,4,1] [4,2,5,1,3,6] => [2,5,1,4,3,6] [4,2,5,1,6,3] => [2,6,5,1,4,3] [4,2,5,3,1,6] => [2,5,3,4,1,6] [4,2,5,3,6,1] => [2,6,5,3,4,1] [4,2,5,6,1,3] => [2,6,1,5,4,3] [4,2,5,6,3,1] => [2,6,3,5,4,1] [4,2,6,1,3,5] => [2,6,1,4,3,5] [4,2,6,1,5,3] => [2,5,6,1,4,3] [4,2,6,3,1,5] => [2,6,3,4,1,5] [4,2,6,3,5,1] => [2,5,6,3,4,1] [4,2,6,5,1,3] => [2,5,1,6,4,3] [4,2,6,5,3,1] => [2,5,3,6,4,1] [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] => [3,1,5,4,2,6] [4,3,1,5,6,2] => [3,1,6,5,4,2] [4,3,1,6,2,5] => [3,1,6,4,2,5] [4,3,1,6,5,2] => [3,1,5,6,4,2] [4,3,2,1,5,6] => [3,2,4,1,5,6] [4,3,2,1,6,5] => [3,2,4,1,6,5] [4,3,2,5,1,6] => [3,2,5,4,1,6] [4,3,2,5,6,1] => [3,2,6,5,4,1] [4,3,2,6,1,5] => [3,2,6,4,1,5] [4,3,2,6,5,1] => [3,2,5,6,4,1] [4,3,5,1,2,6] => [5,3,1,4,2,6] [4,3,5,1,6,2] => [6,5,3,1,4,2] [4,3,5,2,1,6] => [5,3,2,4,1,6] [4,3,5,2,6,1] => [6,5,3,2,4,1] [4,3,5,6,1,2] => [6,3,1,5,4,2] [4,3,5,6,2,1] => [6,3,2,5,4,1] [4,3,6,1,2,5] => [6,3,1,4,2,5] [4,3,6,1,5,2] => [5,6,3,1,4,2] [4,3,6,2,1,5] => [6,3,2,4,1,5] [4,3,6,2,5,1] => [5,6,3,2,4,1] [4,3,6,5,1,2] => [5,3,1,6,4,2] [4,3,6,5,2,1] => [5,3,2,6,4,1] [4,5,1,2,3,6] => [5,1,4,2,3,6] [4,5,1,2,6,3] => [6,5,1,4,2,3] [4,5,1,3,2,6] => [5,1,3,4,2,6] [4,5,1,3,6,2] => [6,5,1,3,4,2] [4,5,1,6,2,3] => [6,1,5,4,2,3] [4,5,1,6,3,2] => [6,1,3,5,4,2] [4,5,2,1,3,6] => [5,2,4,1,3,6] [4,5,2,1,6,3] => [6,5,2,4,1,3] [4,5,2,3,1,6] => [5,2,3,4,1,6] [4,5,2,3,6,1] => [6,5,2,3,4,1] [4,5,2,6,1,3] => [6,2,5,4,1,3] [4,5,2,6,3,1] => [6,2,3,5,4,1] [4,5,3,1,2,6] => [3,5,1,4,2,6] [4,5,3,1,6,2] => [3,6,5,1,4,2] [4,5,3,2,1,6] => [3,5,2,4,1,6] [4,5,3,2,6,1] => [3,6,5,2,4,1] [4,5,3,6,1,2] => [3,6,1,5,4,2] [4,5,3,6,2,1] => [3,6,2,5,4,1] [4,5,6,1,2,3] => [6,1,5,2,4,3] [4,5,6,1,3,2] => [6,1,5,3,4,2] [4,5,6,2,1,3] => [6,2,5,1,4,3] [4,5,6,2,3,1] => [6,2,5,3,4,1] [4,5,6,3,1,2] => [6,3,5,1,4,2] [4,5,6,3,2,1] => [6,3,5,2,4,1] [4,6,1,2,3,5] => [6,1,4,2,3,5] [4,6,1,2,5,3] => [5,6,1,4,2,3] [4,6,1,3,2,5] => [6,1,3,4,2,5] [4,6,1,3,5,2] => [5,6,1,3,4,2] [4,6,1,5,2,3] => [5,1,6,4,2,3] [4,6,1,5,3,2] => [5,1,3,6,4,2] [4,6,2,1,3,5] => [6,2,4,1,3,5] [4,6,2,1,5,3] => [5,6,2,4,1,3] [4,6,2,3,1,5] => [6,2,3,4,1,5] [4,6,2,3,5,1] => [5,6,2,3,4,1] [4,6,2,5,1,3] => [5,2,6,4,1,3] [4,6,2,5,3,1] => [5,2,3,6,4,1] [4,6,3,1,2,5] => [3,6,1,4,2,5] [4,6,3,1,5,2] => [3,5,6,1,4,2] [4,6,3,2,1,5] => [3,6,2,4,1,5] [4,6,3,2,5,1] => [3,5,6,2,4,1] [4,6,3,5,1,2] => [3,5,1,6,4,2] [4,6,3,5,2,1] => [3,5,2,6,4,1] [4,6,5,1,2,3] => [5,1,6,2,4,3] [4,6,5,1,3,2] => [5,1,6,3,4,2] [4,6,5,2,1,3] => [5,2,6,1,4,3] [4,6,5,2,3,1] => [5,2,6,3,4,1] [4,6,5,3,1,2] => [5,3,6,1,4,2] [4,6,5,3,2,1] => [5,3,6,2,4,1] [5,1,2,3,4,6] => [5,1,2,3,4,6] [5,1,2,3,6,4] => [6,5,1,2,3,4] [5,1,2,4,3,6] => [4,5,1,2,3,6] [5,1,2,4,6,3] => [4,6,5,1,2,3] [5,1,2,6,3,4] => [6,1,2,3,5,4] [5,1,2,6,4,3] => [6,4,5,1,2,3] [5,1,3,2,4,6] => [3,5,1,2,4,6] [5,1,3,2,6,4] => [3,6,5,1,2,4] [5,1,3,4,2,6] => [3,4,5,1,2,6] [5,1,3,4,6,2] => [3,4,6,5,1,2] [5,1,3,6,2,4] => [3,6,1,2,5,4] [5,1,3,6,4,2] => [3,6,4,5,1,2] [5,1,4,2,3,6] => [4,1,2,5,3,6] [5,1,4,2,6,3] => [4,1,2,6,5,3] [5,1,4,3,2,6] => [4,3,5,1,2,6] [5,1,4,3,6,2] => [4,3,6,5,1,2] [5,1,4,6,2,3] => [6,4,1,2,5,3] [5,1,4,6,3,2] => [6,4,3,5,1,2] [5,1,6,2,3,4] => [6,1,2,5,3,4] [5,1,6,2,4,3] => [6,1,2,4,5,3] [5,1,6,3,2,4] => [6,3,5,1,2,4] [5,1,6,3,4,2] => [6,3,4,5,1,2] [5,1,6,4,2,3] => [4,6,1,2,5,3] [5,1,6,4,3,2] => [4,6,3,5,1,2] [5,2,1,3,4,6] => [2,5,1,3,4,6] [5,2,1,3,6,4] => [2,6,5,1,3,4] [5,2,1,4,3,6] => [2,4,5,1,3,6] [5,2,1,4,6,3] => [2,4,6,5,1,3] [5,2,1,6,3,4] => [2,6,1,3,5,4] [5,2,1,6,4,3] => [2,6,4,5,1,3] [5,2,3,1,4,6] => [2,3,5,1,4,6] [5,2,3,1,6,4] => [2,3,6,5,1,4] [5,2,3,4,1,6] => [2,3,4,5,1,6] [5,2,3,4,6,1] => [2,3,4,6,5,1] [5,2,3,6,1,4] => [2,3,6,1,5,4] [5,2,3,6,4,1] => [2,3,6,4,5,1] [5,2,4,1,3,6] => [2,4,1,5,3,6] [5,2,4,1,6,3] => [2,4,1,6,5,3] [5,2,4,3,1,6] => [2,4,3,5,1,6] [5,2,4,3,6,1] => [2,4,3,6,5,1] [5,2,4,6,1,3] => [2,6,4,1,5,3] [5,2,4,6,3,1] => [2,6,4,3,5,1] [5,2,6,1,3,4] => [2,6,1,5,3,4] [5,2,6,1,4,3] => [2,6,1,4,5,3] [5,2,6,3,1,4] => [2,6,3,5,1,4] [5,2,6,3,4,1] => [2,6,3,4,5,1] [5,2,6,4,1,3] => [2,4,6,1,5,3] [5,2,6,4,3,1] => [2,4,6,3,5,1] [5,3,1,2,4,6] => [3,1,5,2,4,6] [5,3,1,2,6,4] => [3,1,6,5,2,4] [5,3,1,4,2,6] => [3,1,4,5,2,6] [5,3,1,4,6,2] => [3,1,4,6,5,2] [5,3,1,6,2,4] => [3,1,6,2,5,4] [5,3,1,6,4,2] => [3,1,6,4,5,2] [5,3,2,1,4,6] => [3,2,5,1,4,6] [5,3,2,1,6,4] => [3,2,6,5,1,4] [5,3,2,4,1,6] => [3,2,4,5,1,6] [5,3,2,4,6,1] => [3,2,4,6,5,1] [5,3,2,6,1,4] => [3,2,6,1,5,4] [5,3,2,6,4,1] => [3,2,6,4,5,1] [5,3,4,1,2,6] => [4,3,1,5,2,6] [5,3,4,1,6,2] => [4,3,1,6,5,2] [5,3,4,2,1,6] => [4,3,2,5,1,6] [5,3,4,2,6,1] => [4,3,2,6,5,1] [5,3,4,6,1,2] => [6,4,3,1,5,2] [5,3,4,6,2,1] => [6,4,3,2,5,1] [5,3,6,1,2,4] => [6,3,1,5,2,4] [5,3,6,1,4,2] => [6,3,1,4,5,2] [5,3,6,2,1,4] => [6,3,2,5,1,4] [5,3,6,2,4,1] => [6,3,2,4,5,1] [5,3,6,4,1,2] => [4,6,3,1,5,2] [5,3,6,4,2,1] => [4,6,3,2,5,1] [5,4,1,2,3,6] => [4,1,5,2,3,6] [5,4,1,2,6,3] => [4,1,6,5,2,3] [5,4,1,3,2,6] => [4,1,3,5,2,6] [5,4,1,3,6,2] => [4,1,3,6,5,2] [5,4,1,6,2,3] => [6,4,1,5,2,3] [5,4,1,6,3,2] => [6,4,1,3,5,2] [5,4,2,1,3,6] => [4,2,5,1,3,6] [5,4,2,1,6,3] => [4,2,6,5,1,3] [5,4,2,3,1,6] => [4,2,3,5,1,6] [5,4,2,3,6,1] => [4,2,3,6,5,1] [5,4,2,6,1,3] => [6,4,2,5,1,3] [5,4,2,6,3,1] => [6,4,2,3,5,1] [5,4,3,1,2,6] => [3,4,1,5,2,6] [5,4,3,1,6,2] => [3,4,1,6,5,2] [5,4,3,2,1,6] => [3,4,2,5,1,6] [5,4,3,2,6,1] => [3,4,2,6,5,1] [5,4,3,6,1,2] => [3,6,4,1,5,2] [5,4,3,6,2,1] => [3,6,4,2,5,1] [5,4,6,1,2,3] => [6,1,4,2,5,3] [5,4,6,1,3,2] => [6,1,4,3,5,2] [5,4,6,2,1,3] => [6,2,4,1,5,3] [5,4,6,2,3,1] => [6,2,4,3,5,1] [5,4,6,3,1,2] => [6,3,4,1,5,2] [5,4,6,3,2,1] => [6,3,4,2,5,1] [5,6,1,2,3,4] => [6,1,5,2,3,4] [5,6,1,2,4,3] => [6,1,4,5,2,3] [5,6,1,3,2,4] => [6,1,3,5,2,4] [5,6,1,3,4,2] => [6,1,3,4,5,2] [5,6,1,4,2,3] => [4,6,1,5,2,3] [5,6,1,4,3,2] => [4,6,1,3,5,2] [5,6,2,1,3,4] => [6,2,5,1,3,4] [5,6,2,1,4,3] => [6,2,4,5,1,3] [5,6,2,3,1,4] => [6,2,3,5,1,4] [5,6,2,3,4,1] => [6,2,3,4,5,1] [5,6,2,4,1,3] => [4,6,2,5,1,3] [5,6,2,4,3,1] => [4,6,2,3,5,1] [5,6,3,1,2,4] => [3,6,1,5,2,4] [5,6,3,1,4,2] => [3,6,1,4,5,2] [5,6,3,2,1,4] => [3,6,2,5,1,4] [5,6,3,2,4,1] => [3,6,2,4,5,1] [5,6,3,4,1,2] => [3,4,6,1,5,2] [5,6,3,4,2,1] => [3,4,6,2,5,1] [5,6,4,1,2,3] => [4,1,6,2,5,3] [5,6,4,1,3,2] => [4,1,6,3,5,2] [5,6,4,2,1,3] => [4,2,6,1,5,3] [5,6,4,2,3,1] => [4,2,6,3,5,1] [5,6,4,3,1,2] => [4,3,6,1,5,2] [5,6,4,3,2,1] => [4,3,6,2,5,1] [6,1,2,3,4,5] => [6,1,2,3,4,5] [6,1,2,3,5,4] => [5,6,1,2,3,4] [6,1,2,4,3,5] => [4,6,1,2,3,5] [6,1,2,4,5,3] => [4,5,6,1,2,3] [6,1,2,5,3,4] => [5,1,2,3,6,4] [6,1,2,5,4,3] => [5,4,6,1,2,3] [6,1,3,2,4,5] => [3,6,1,2,4,5] [6,1,3,2,5,4] => [3,5,6,1,2,4] [6,1,3,4,2,5] => [3,4,6,1,2,5] [6,1,3,4,5,2] => [3,4,5,6,1,2] [6,1,3,5,2,4] => [3,5,1,2,6,4] [6,1,3,5,4,2] => [3,5,4,6,1,2] [6,1,4,2,3,5] => [4,1,2,6,3,5] [6,1,4,2,5,3] => [4,1,2,5,6,3] [6,1,4,3,2,5] => [4,3,6,1,2,5] [6,1,4,3,5,2] => [4,3,5,6,1,2] [6,1,4,5,2,3] => [5,4,1,2,6,3] [6,1,4,5,3,2] => [5,4,3,6,1,2] [6,1,5,2,3,4] => [5,1,2,6,3,4] [6,1,5,2,4,3] => [5,1,2,4,6,3] [6,1,5,3,2,4] => [5,3,6,1,2,4] [6,1,5,3,4,2] => [5,3,4,6,1,2] [6,1,5,4,2,3] => [4,5,1,2,6,3] [6,1,5,4,3,2] => [4,5,3,6,1,2] [6,2,1,3,4,5] => [2,6,1,3,4,5] [6,2,1,3,5,4] => [2,5,6,1,3,4] [6,2,1,4,3,5] => [2,4,6,1,3,5] [6,2,1,4,5,3] => [2,4,5,6,1,3] [6,2,1,5,3,4] => [2,5,1,3,6,4] [6,2,1,5,4,3] => [2,5,4,6,1,3] [6,2,3,1,4,5] => [2,3,6,1,4,5] [6,2,3,1,5,4] => [2,3,5,6,1,4] [6,2,3,4,1,5] => [2,3,4,6,1,5] [6,2,3,4,5,1] => [2,3,4,5,6,1] [6,2,3,5,1,4] => [2,3,5,1,6,4] [6,2,3,5,4,1] => [2,3,5,4,6,1] [6,2,4,1,3,5] => [2,4,1,6,3,5] [6,2,4,1,5,3] => [2,4,1,5,6,3] [6,2,4,3,1,5] => [2,4,3,6,1,5] [6,2,4,3,5,1] => [2,4,3,5,6,1] [6,2,4,5,1,3] => [2,5,4,1,6,3] [6,2,4,5,3,1] => [2,5,4,3,6,1] [6,2,5,1,3,4] => [2,5,1,6,3,4] [6,2,5,1,4,3] => [2,5,1,4,6,3] [6,2,5,3,1,4] => [2,5,3,6,1,4] [6,2,5,3,4,1] => [2,5,3,4,6,1] [6,2,5,4,1,3] => [2,4,5,1,6,3] [6,2,5,4,3,1] => [2,4,5,3,6,1] [6,3,1,2,4,5] => [3,1,6,2,4,5] [6,3,1,2,5,4] => [3,1,5,6,2,4] [6,3,1,4,2,5] => [3,1,4,6,2,5] [6,3,1,4,5,2] => [3,1,4,5,6,2] [6,3,1,5,2,4] => [3,1,5,2,6,4] [6,3,1,5,4,2] => [3,1,5,4,6,2] [6,3,2,1,4,5] => [3,2,6,1,4,5] [6,3,2,1,5,4] => [3,2,5,6,1,4] [6,3,2,4,1,5] => [3,2,4,6,1,5] [6,3,2,4,5,1] => [3,2,4,5,6,1] [6,3,2,5,1,4] => [3,2,5,1,6,4] [6,3,2,5,4,1] => [3,2,5,4,6,1] [6,3,4,1,2,5] => [4,3,1,6,2,5] [6,3,4,1,5,2] => [4,3,1,5,6,2] [6,3,4,2,1,5] => [4,3,2,6,1,5] [6,3,4,2,5,1] => [4,3,2,5,6,1] [6,3,4,5,1,2] => [5,4,3,1,6,2] [6,3,4,5,2,1] => [5,4,3,2,6,1] [6,3,5,1,2,4] => [5,3,1,6,2,4] [6,3,5,1,4,2] => [5,3,1,4,6,2] [6,3,5,2,1,4] => [5,3,2,6,1,4] [6,3,5,2,4,1] => [5,3,2,4,6,1] [6,3,5,4,1,2] => [4,5,3,1,6,2] [6,3,5,4,2,1] => [4,5,3,2,6,1] [6,4,1,2,3,5] => [4,1,6,2,3,5] [6,4,1,2,5,3] => [4,1,5,6,2,3] [6,4,1,3,2,5] => [4,1,3,6,2,5] [6,4,1,3,5,2] => [4,1,3,5,6,2] [6,4,1,5,2,3] => [5,4,1,6,2,3] [6,4,1,5,3,2] => [5,4,1,3,6,2] [6,4,2,1,3,5] => [4,2,6,1,3,5] [6,4,2,1,5,3] => [4,2,5,6,1,3] [6,4,2,3,1,5] => [4,2,3,6,1,5] [6,4,2,3,5,1] => [4,2,3,5,6,1] [6,4,2,5,1,3] => [5,4,2,6,1,3] [6,4,2,5,3,1] => [5,4,2,3,6,1] [6,4,3,1,2,5] => [3,4,1,6,2,5] [6,4,3,1,5,2] => [3,4,1,5,6,2] [6,4,3,2,1,5] => [3,4,2,6,1,5] [6,4,3,2,5,1] => [3,4,2,5,6,1] [6,4,3,5,1,2] => [3,5,4,1,6,2] [6,4,3,5,2,1] => [3,5,4,2,6,1] [6,4,5,1,2,3] => [5,1,4,2,6,3] [6,4,5,1,3,2] => [5,1,4,3,6,2] [6,4,5,2,1,3] => [5,2,4,1,6,3] [6,4,5,2,3,1] => [5,2,4,3,6,1] [6,4,5,3,1,2] => [5,3,4,1,6,2] [6,4,5,3,2,1] => [5,3,4,2,6,1] [6,5,1,2,3,4] => [5,1,6,2,3,4] [6,5,1,2,4,3] => [5,1,4,6,2,3] [6,5,1,3,2,4] => [5,1,3,6,2,4] [6,5,1,3,4,2] => [5,1,3,4,6,2] [6,5,1,4,2,3] => [4,5,1,6,2,3] [6,5,1,4,3,2] => [4,5,1,3,6,2] [6,5,2,1,3,4] => [5,2,6,1,3,4] [6,5,2,1,4,3] => [5,2,4,6,1,3] [6,5,2,3,1,4] => [5,2,3,6,1,4] [6,5,2,3,4,1] => [5,2,3,4,6,1] [6,5,2,4,1,3] => [4,5,2,6,1,3] [6,5,2,4,3,1] => [4,5,2,3,6,1] [6,5,3,1,2,4] => [3,5,1,6,2,4] [6,5,3,1,4,2] => [3,5,1,4,6,2] [6,5,3,2,1,4] => [3,5,2,6,1,4] [6,5,3,2,4,1] => [3,5,2,4,6,1] [6,5,3,4,1,2] => [3,4,5,1,6,2] [6,5,3,4,2,1] => [3,4,5,2,6,1] [6,5,4,1,2,3] => [4,1,5,2,6,3] [6,5,4,1,3,2] => [4,1,5,3,6,2] [6,5,4,2,1,3] => [4,2,5,1,6,3] [6,5,4,2,3,1] => [4,2,5,3,6,1] [6,5,4,3,1,2] => [4,3,5,1,6,2] [6,5,4,3,2,1] => [4,3,5,2,6,1] [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] => [1,2,3,7,6,5,4] [1,2,3,5,7,4,6] => [1,2,3,7,5,4,6] [1,2,3,5,7,6,4] => [1,2,3,6,7,5,4] [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] [1,2,3,6,4,7,5] => [1,2,3,7,6,4,5] [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] [1,2,3,6,7,5,4] => [1,2,3,7,5,6,4] [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] [1,2,3,7,4,6,5] => [1,2,3,6,7,4,5] [1,2,3,7,5,4,6] => [1,2,3,5,7,4,6] [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] [1,2,3,7,6,4,5] => [1,2,3,6,4,7,5] [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] [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] => [1,2,6,5,4,3,7] [1,2,4,5,6,7,3] => [1,2,7,6,5,4,3] [1,2,4,5,7,3,6] => [1,2,7,5,4,3,6] [1,2,4,5,7,6,3] => [1,2,6,7,5,4,3] [1,2,4,6,3,5,7] => [1,2,6,4,3,5,7] [1,2,4,6,3,7,5] => [1,2,7,6,4,3,5] [1,2,4,6,5,3,7] => [1,2,5,6,4,3,7] [1,2,4,6,5,7,3] => [1,2,5,7,6,4,3] [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] [1,2,4,6,7,5,3] => [1,2,7,5,6,4,3] [1,2,4,7,3,5,6] => [1,2,7,4,3,5,6] [1,2,4,7,3,6,5] => [1,2,6,7,4,3,5] [1,2,4,7,5,3,6] => [1,2,5,7,4,3,6] [1,2,4,7,5,6,3] => [1,2,5,6,7,4,3] [1,2,4,7,6,3,5] => [1,2,6,4,3,7,5] [1,2,4,7,6,5,3] => [1,2,6,5,7,4,3] [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] => [1,2,6,5,3,4,7] [1,2,5,3,6,7,4] => [1,2,7,6,5,3,4] [1,2,5,3,7,4,6] => [1,2,7,5,3,4,6] [1,2,5,3,7,6,4] => [1,2,6,7,5,3,4] [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] => [1,2,4,6,5,3,7] [1,2,5,4,6,7,3] => [1,2,4,7,6,5,3] [1,2,5,4,7,3,6] => [1,2,4,7,5,3,6] [1,2,5,4,7,6,3] => [1,2,4,6,7,5,3] [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] [1,2,5,6,3,7,4] => [1,2,7,6,3,5,4] [1,2,5,6,4,3,7] => [1,2,6,4,5,3,7] [1,2,5,6,4,7,3] => [1,2,7,6,4,5,3] [1,2,5,6,7,3,4] => [1,2,7,3,6,5,4] [1,2,5,6,7,4,3] => [1,2,7,4,6,5,3] [1,2,5,7,3,4,6] => [1,2,7,3,5,4,6] [1,2,5,7,3,6,4] => [1,2,6,7,3,5,4] [1,2,5,7,4,3,6] => [1,2,7,4,5,3,6] [1,2,5,7,4,6,3] => [1,2,6,7,4,5,3] [1,2,5,7,6,3,4] => [1,2,6,3,7,5,4] [1,2,5,7,6,4,3] => [1,2,6,4,7,5,3] [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] [1,2,6,3,4,7,5] => [1,2,7,6,3,4,5] [1,2,6,3,5,4,7] => [1,2,5,6,3,4,7] [1,2,6,3,5,7,4] => [1,2,5,7,6,3,4] [1,2,6,3,7,4,5] => [1,2,7,3,4,6,5] [1,2,6,3,7,5,4] => [1,2,7,5,6,3,4] [1,2,6,4,3,5,7] => [1,2,4,6,3,5,7] [1,2,6,4,3,7,5] => [1,2,4,7,6,3,5] [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] [1,2,6,4,5,7,3] => [1,2,4,5,7,6,3] [1,2,6,4,7,3,5] => [1,2,4,7,3,6,5] [1,2,6,4,7,5,3] => [1,2,4,7,5,6,3] [1,2,6,5,3,4,7] => [1,2,5,3,6,4,7] [1,2,6,5,3,7,4] => [1,2,5,3,7,6,4] [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] [1,2,6,5,4,7,3] => [1,2,5,4,7,6,3] [1,2,6,5,7,3,4] => [1,2,7,5,3,6,4] [1,2,6,5,7,4,3] => [1,2,7,5,4,6,3] [1,2,6,7,3,4,5] => [1,2,7,3,6,4,5] [1,2,6,7,3,5,4] => [1,2,7,3,5,6,4] [1,2,6,7,4,3,5] => [1,2,7,4,6,3,5] [1,2,6,7,4,5,3] => [1,2,7,4,5,6,3] [1,2,6,7,5,3,4] => [1,2,5,7,3,6,4] [1,2,6,7,5,4,3] => [1,2,5,7,4,6,3] [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] [1,2,7,3,4,6,5] => [1,2,6,7,3,4,5] [1,2,7,3,5,4,6] => [1,2,5,7,3,4,6] [1,2,7,3,5,6,4] => [1,2,5,6,7,3,4] [1,2,7,3,6,4,5] => [1,2,6,3,4,7,5] [1,2,7,3,6,5,4] => [1,2,6,5,7,3,4] [1,2,7,4,3,5,6] => [1,2,4,7,3,5,6] [1,2,7,4,3,6,5] => [1,2,4,6,7,3,5] [1,2,7,4,5,3,6] => [1,2,4,5,7,3,6] [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] [1,2,7,4,6,3,5] => [1,2,4,6,3,7,5] [1,2,7,4,6,5,3] => [1,2,4,6,5,7,3] [1,2,7,5,3,4,6] => [1,2,5,3,7,4,6] [1,2,7,5,3,6,4] => [1,2,5,3,6,7,4] [1,2,7,5,4,3,6] => [1,2,5,4,7,3,6] [1,2,7,5,4,6,3] => [1,2,5,4,6,7,3] [1,2,7,5,6,3,4] => [1,2,6,5,3,7,4] [1,2,7,5,6,4,3] => [1,2,6,5,4,7,3] [1,2,7,6,3,4,5] => [1,2,6,3,7,4,5] [1,2,7,6,3,5,4] => [1,2,6,3,5,7,4] [1,2,7,6,4,3,5] => [1,2,6,4,7,3,5] [1,2,7,6,4,5,3] => [1,2,6,4,5,7,3] [1,2,7,6,5,3,4] => [1,2,5,6,3,7,4] [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] [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] => [1,3,2,7,6,5,4] [1,3,2,5,7,4,6] => [1,3,2,7,5,4,6] [1,3,2,5,7,6,4] => [1,3,2,6,7,5,4] [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] [1,3,2,6,4,7,5] => [1,3,2,7,6,4,5] [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] [1,3,2,6,7,5,4] => [1,3,2,7,5,6,4] [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] [1,3,2,7,4,6,5] => [1,3,2,6,7,4,5] [1,3,2,7,5,4,6] => [1,3,2,5,7,4,6] [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] [1,3,2,7,6,4,5] => [1,3,2,6,4,7,5] [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] [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] => [1,5,4,3,2,6,7] [1,3,4,5,2,7,6] => [1,5,4,3,2,7,6] [1,3,4,5,6,2,7] => [1,6,5,4,3,2,7] [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] [1,3,4,5,7,2,6] => [1,7,5,4,3,2,6] [1,3,4,5,7,6,2] => [1,6,7,5,4,3,2] [1,3,4,6,2,5,7] => [1,6,4,3,2,5,7] [1,3,4,6,2,7,5] => [1,7,6,4,3,2,5] [1,3,4,6,5,2,7] => [1,5,6,4,3,2,7] [1,3,4,6,5,7,2] => [1,5,7,6,4,3,2] [1,3,4,6,7,2,5] => [1,7,4,3,2,6,5] [1,3,4,6,7,5,2] => [1,7,5,6,4,3,2] [1,3,4,7,2,5,6] => [1,7,4,3,2,5,6] [1,3,4,7,2,6,5] => [1,6,7,4,3,2,5] [1,3,4,7,5,2,6] => [1,5,7,4,3,2,6] [1,3,4,7,5,6,2] => [1,5,6,7,4,3,2] [1,3,4,7,6,2,5] => [1,6,4,3,2,7,5] [1,3,4,7,6,5,2] => [1,6,5,7,4,3,2] [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] => [1,6,5,3,2,4,7] [1,3,5,2,6,7,4] => [1,7,6,5,3,2,4] [1,3,5,2,7,4,6] => [1,7,5,3,2,4,6] [1,3,5,2,7,6,4] => [1,6,7,5,3,2,4] [1,3,5,4,2,6,7] => [1,4,5,3,2,6,7] [1,3,5,4,2,7,6] => [1,4,5,3,2,7,6] [1,3,5,4,6,2,7] => [1,4,6,5,3,2,7] [1,3,5,4,6,7,2] => [1,4,7,6,5,3,2] [1,3,5,4,7,2,6] => [1,4,7,5,3,2,6] [1,3,5,4,7,6,2] => [1,4,6,7,5,3,2] [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] [1,3,5,6,2,7,4] => [1,7,6,3,2,5,4] [1,3,5,6,4,2,7] => [1,6,4,5,3,2,7] [1,3,5,6,4,7,2] => [1,7,6,4,5,3,2] [1,3,5,6,7,2,4] => [1,7,3,2,6,5,4] [1,3,5,6,7,4,2] => [1,7,4,6,5,3,2] [1,3,5,7,2,4,6] => [1,7,3,2,5,4,6] [1,3,5,7,2,6,4] => [1,6,7,3,2,5,4] [1,3,5,7,4,2,6] => [1,7,4,5,3,2,6] [1,3,5,7,4,6,2] => [1,6,7,4,5,3,2] [1,3,5,7,6,2,4] => [1,6,3,2,7,5,4] [1,3,5,7,6,4,2] => [1,6,4,7,5,3,2] [1,3,6,2,4,5,7] => [1,6,3,2,4,5,7] [1,3,6,2,4,7,5] => [1,7,6,3,2,4,5] [1,3,6,2,5,4,7] => [1,5,6,3,2,4,7] [1,3,6,2,5,7,4] => [1,5,7,6,3,2,4] [1,3,6,2,7,4,5] => [1,7,3,2,4,6,5] [1,3,6,2,7,5,4] => [1,7,5,6,3,2,4] [1,3,6,4,2,5,7] => [1,4,6,3,2,5,7] [1,3,6,4,2,7,5] => [1,4,7,6,3,2,5] [1,3,6,4,5,2,7] => [1,4,5,6,3,2,7] [1,3,6,4,5,7,2] => [1,4,5,7,6,3,2] [1,3,6,4,7,2,5] => [1,4,7,3,2,6,5] [1,3,6,4,7,5,2] => [1,4,7,5,6,3,2] [1,3,6,5,2,4,7] => [1,5,3,2,6,4,7] [1,3,6,5,2,7,4] => [1,5,3,2,7,6,4] [1,3,6,5,4,2,7] => [1,5,4,6,3,2,7] [1,3,6,5,4,7,2] => [1,5,4,7,6,3,2] [1,3,6,5,7,2,4] => [1,7,5,3,2,6,4] [1,3,6,5,7,4,2] => [1,7,5,4,6,3,2] [1,3,6,7,2,4,5] => [1,7,3,2,6,4,5] [1,3,6,7,2,5,4] => [1,7,3,2,5,6,4] [1,3,6,7,4,2,5] => [1,7,4,6,3,2,5] [1,3,6,7,4,5,2] => [1,7,4,5,6,3,2] [1,3,6,7,5,2,4] => [1,5,7,3,2,6,4] [1,3,6,7,5,4,2] => [1,5,7,4,6,3,2] [1,3,7,2,4,5,6] => [1,7,3,2,4,5,6] [1,3,7,2,4,6,5] => [1,6,7,3,2,4,5] [1,3,7,2,5,4,6] => [1,5,7,3,2,4,6] [1,3,7,2,5,6,4] => [1,5,6,7,3,2,4] [1,3,7,2,6,4,5] => [1,6,3,2,4,7,5] [1,3,7,2,6,5,4] => [1,6,5,7,3,2,4] [1,3,7,4,2,5,6] => [1,4,7,3,2,5,6] [1,3,7,4,2,6,5] => [1,4,6,7,3,2,5] [1,3,7,4,5,2,6] => [1,4,5,7,3,2,6] [1,3,7,4,5,6,2] => [1,4,5,6,7,3,2] [1,3,7,4,6,2,5] => [1,4,6,3,2,7,5] [1,3,7,4,6,5,2] => [1,4,6,5,7,3,2] [1,3,7,5,2,4,6] => [1,5,3,2,7,4,6] [1,3,7,5,2,6,4] => [1,5,3,2,6,7,4] [1,3,7,5,4,2,6] => [1,5,4,7,3,2,6] [1,3,7,5,4,6,2] => [1,5,4,6,7,3,2] [1,3,7,5,6,2,4] => [1,6,5,3,2,7,4] [1,3,7,5,6,4,2] => [1,6,5,4,7,3,2] [1,3,7,6,2,4,5] => [1,6,3,2,7,4,5] [1,3,7,6,2,5,4] => [1,6,3,2,5,7,4] [1,3,7,6,4,2,5] => [1,6,4,7,3,2,5] [1,3,7,6,4,5,2] => [1,6,4,5,7,3,2] [1,3,7,6,5,2,4] => [1,5,6,3,2,7,4] [1,3,7,6,5,4,2] => [1,5,6,4,7,3,2] [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] => [1,5,4,2,3,6,7] [1,4,2,5,3,7,6] => [1,5,4,2,3,7,6] [1,4,2,5,6,3,7] => [1,6,5,4,2,3,7] [1,4,2,5,6,7,3] => [1,7,6,5,4,2,3] [1,4,2,5,7,3,6] => [1,7,5,4,2,3,6] [1,4,2,5,7,6,3] => [1,6,7,5,4,2,3] [1,4,2,6,3,5,7] => [1,6,4,2,3,5,7] [1,4,2,6,3,7,5] => [1,7,6,4,2,3,5] [1,4,2,6,5,3,7] => [1,5,6,4,2,3,7] [1,4,2,6,5,7,3] => [1,5,7,6,4,2,3] [1,4,2,6,7,3,5] => [1,7,4,2,3,6,5] [1,4,2,6,7,5,3] => [1,7,5,6,4,2,3] [1,4,2,7,3,5,6] => [1,7,4,2,3,5,6] [1,4,2,7,3,6,5] => [1,6,7,4,2,3,5] [1,4,2,7,5,3,6] => [1,5,7,4,2,3,6] [1,4,2,7,5,6,3] => [1,5,6,7,4,2,3] [1,4,2,7,6,3,5] => [1,6,4,2,3,7,5] [1,4,2,7,6,5,3] => [1,6,5,7,4,2,3] [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] => [1,3,5,4,2,6,7] [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] [1,4,3,5,6,2,7] => [1,3,6,5,4,2,7] [1,4,3,5,6,7,2] => [1,3,7,6,5,4,2] [1,4,3,5,7,2,6] => [1,3,7,5,4,2,6] [1,4,3,5,7,6,2] => [1,3,6,7,5,4,2] [1,4,3,6,2,5,7] => [1,3,6,4,2,5,7] [1,4,3,6,2,7,5] => [1,3,7,6,4,2,5] [1,4,3,6,5,2,7] => [1,3,5,6,4,2,7] [1,4,3,6,5,7,2] => [1,3,5,7,6,4,2] [1,4,3,6,7,2,5] => [1,3,7,4,2,6,5] [1,4,3,6,7,5,2] => [1,3,7,5,6,4,2] [1,4,3,7,2,5,6] => [1,3,7,4,2,5,6] [1,4,3,7,2,6,5] => [1,3,6,7,4,2,5] [1,4,3,7,5,2,6] => [1,3,5,7,4,2,6] [1,4,3,7,5,6,2] => [1,3,5,6,7,4,2] [1,4,3,7,6,2,5] => [1,3,6,4,2,7,5] [1,4,3,7,6,5,2] => [1,3,6,5,7,4,2] [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] => [1,6,5,2,4,3,7] [1,4,5,2,6,7,3] => [1,7,6,5,2,4,3] [1,4,5,2,7,3,6] => [1,7,5,2,4,3,6] [1,4,5,2,7,6,3] => [1,6,7,5,2,4,3] [1,4,5,3,2,6,7] => [1,5,3,4,2,6,7] [1,4,5,3,2,7,6] => [1,5,3,4,2,7,6] [1,4,5,3,6,2,7] => [1,6,5,3,4,2,7] [1,4,5,3,6,7,2] => [1,7,6,5,3,4,2] [1,4,5,3,7,2,6] => [1,7,5,3,4,2,6] [1,4,5,3,7,6,2] => [1,6,7,5,3,4,2] [1,4,5,6,2,3,7] => [1,6,2,5,4,3,7] [1,4,5,6,2,7,3] => [1,7,6,2,5,4,3] [1,4,5,6,3,2,7] => [1,6,3,5,4,2,7] [1,4,5,6,3,7,2] => [1,7,6,3,5,4,2] [1,4,5,6,7,2,3] => [1,7,2,6,5,4,3] [1,4,5,6,7,3,2] => [1,7,3,6,5,4,2] [1,4,5,7,2,3,6] => [1,7,2,5,4,3,6] [1,4,5,7,2,6,3] => [1,6,7,2,5,4,3] [1,4,5,7,3,2,6] => [1,7,3,5,4,2,6] [1,4,5,7,3,6,2] => [1,6,7,3,5,4,2] [1,4,5,7,6,2,3] => [1,6,2,7,5,4,3] [1,4,5,7,6,3,2] => [1,6,3,7,5,4,2] [1,4,6,2,3,5,7] => [1,6,2,4,3,5,7] [1,4,6,2,3,7,5] => [1,7,6,2,4,3,5] [1,4,6,2,5,3,7] => [1,5,6,2,4,3,7] [1,4,6,2,5,7,3] => [1,5,7,6,2,4,3] [1,4,6,2,7,3,5] => [1,7,2,4,3,6,5] [1,4,6,2,7,5,3] => [1,7,5,6,2,4,3] [1,4,6,3,2,5,7] => [1,6,3,4,2,5,7] [1,4,6,3,2,7,5] => [1,7,6,3,4,2,5] [1,4,6,3,5,2,7] => [1,5,6,3,4,2,7] [1,4,6,3,5,7,2] => [1,5,7,6,3,4,2] [1,4,6,3,7,2,5] => [1,7,3,4,2,6,5] [1,4,6,3,7,5,2] => [1,7,5,6,3,4,2] [1,4,6,5,2,3,7] => [1,5,2,6,4,3,7] [1,4,6,5,2,7,3] => [1,5,2,7,6,4,3] [1,4,6,5,3,2,7] => [1,5,3,6,4,2,7] ----------------------------------------------------------------------------- Created: Sep 21, 2021 at 12:09 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: Sep 21, 2021 at 12:09 by Martin Rubey