************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* 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: Mp00329
------------------------------------------------------------------------
Map name: Tanimoto
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Add 1 to every entry of the permutation (n becomes 1 instead of n+1), except that when n appears at the front or the back of the permutation, instead remove it and place 1 at the other end of the permutation.
------------------------------------------------------------------------
References: [1] Tanimoto, S. An operator on permutations and its application to Eulerian numbers [[MathSciNet:1829751]] [[zbMATH:0986.05005]] [[DOI:10.1006/eujc.2000.0497]]
[2] Tanimoto, S. A study of Eulerian numbers by means of an operator on permutations [[MathSciNet:1957962]] [[zbMATH:1014.05007]] [[DOI:10.1016/S0195-6698(02)00137-3]]
[3] Tanimoto, S. On the numbers of orbits of permutations under an operator related to Eulerian numbers [[MathSciNet:2079934]] [[zbMATH:1048.05004]] [[DOI:10.1007/s00026-004-0218-2]]
[4] Tanimoto, S. A New Approach to Signed Eulerian Numbers [[arXiv:math/0602263]]
[5] Tanimoto, S. A study of Eulerian numbers for permutations in the alternating group [[MathSciNet:2264846]] [[zbMATH:1104.11011]]
[6] Tanimoto, S. Combinatorics of the group of parity alternating permutations [[MathSciNet:2593308]] [[zbMATH:1218.05007]] [[DOI:10.1016/j.aam.2009.07.002]]
[7] Tanimoto, S. Parity alternating permutations and signed Eulerian numbers [[MathSciNet:2737324]] [[zbMATH:1233.05217]] [[DOI:10.1007/s00026-010-0064-3]]
------------------------------------------------------------------------
Code:
def mapping(pi):
n = len(pi)
# If n is in the front then remove n, add 1 to each entry,
# and place 1 at the back
if pi[0] == n:
return Permutation([i + 1 for i in pi[1:n]] + [1])
# If n is at the back then remove n, add 1 to each entry,
# and place 1 at the front
elif pi[n-1] == n:
return Permutation([1] + [i + 1 for i in pi[0:n-1]])
# Otherwise add 1 to each entry, changing n to 1 instead of n+1
else:
return Permutation([(i % n) + 1 for i in pi])
------------------------------------------------------------------------
Map images:
[1] => [1]
[1,2] => [1,2]
[2,1] => [2,1]
[1,2,3] => [1,2,3]
[1,3,2] => [2,1,3]
[2,1,3] => [1,3,2]
[2,3,1] => [3,1,2]
[3,1,2] => [2,3,1]
[3,2,1] => [3,2,1]
[1,2,3,4] => [1,2,3,4]
[1,2,4,3] => [2,3,1,4]
[1,3,2,4] => [1,2,4,3]
[1,3,4,2] => [2,4,1,3]
[1,4,2,3] => [2,1,3,4]
[1,4,3,2] => [2,1,4,3]
[2,1,3,4] => [1,3,2,4]
[2,1,4,3] => [3,2,1,4]
[2,3,1,4] => [1,3,4,2]
[2,3,4,1] => [3,4,1,2]
[2,4,1,3] => [3,1,2,4]
[2,4,3,1] => [3,1,4,2]
[3,1,2,4] => [1,4,2,3]
[3,1,4,2] => [4,2,1,3]
[3,2,1,4] => [1,4,3,2]
[3,2,4,1] => [4,3,1,2]
[3,4,1,2] => [4,1,2,3]
[3,4,2,1] => [4,1,3,2]
[4,1,2,3] => [2,3,4,1]
[4,1,3,2] => [2,4,3,1]
[4,2,1,3] => [3,2,4,1]
[4,2,3,1] => [3,4,2,1]
[4,3,1,2] => [4,2,3,1]
[4,3,2,1] => [4,3,2,1]
[1,2,3,4,5] => [1,2,3,4,5]
[1,2,3,5,4] => [2,3,4,1,5]
[1,2,4,3,5] => [1,2,3,5,4]
[1,2,4,5,3] => [2,3,5,1,4]
[1,2,5,3,4] => [2,3,1,4,5]
[1,2,5,4,3] => [2,3,1,5,4]
[1,3,2,4,5] => [1,2,4,3,5]
[1,3,2,5,4] => [2,4,3,1,5]
[1,3,4,2,5] => [1,2,4,5,3]
[1,3,4,5,2] => [2,4,5,1,3]
[1,3,5,2,4] => [2,4,1,3,5]
[1,3,5,4,2] => [2,4,1,5,3]
[1,4,2,3,5] => [1,2,5,3,4]
[1,4,2,5,3] => [2,5,3,1,4]
[1,4,3,2,5] => [1,2,5,4,3]
[1,4,3,5,2] => [2,5,4,1,3]
[1,4,5,2,3] => [2,5,1,3,4]
[1,4,5,3,2] => [2,5,1,4,3]
[1,5,2,3,4] => [2,1,3,4,5]
[1,5,2,4,3] => [2,1,3,5,4]
[1,5,3,2,4] => [2,1,4,3,5]
[1,5,3,4,2] => [2,1,4,5,3]
[1,5,4,2,3] => [2,1,5,3,4]
[1,5,4,3,2] => [2,1,5,4,3]
[2,1,3,4,5] => [1,3,2,4,5]
[2,1,3,5,4] => [3,2,4,1,5]
[2,1,4,3,5] => [1,3,2,5,4]
[2,1,4,5,3] => [3,2,5,1,4]
[2,1,5,3,4] => [3,2,1,4,5]
[2,1,5,4,3] => [3,2,1,5,4]
[2,3,1,4,5] => [1,3,4,2,5]
[2,3,1,5,4] => [3,4,2,1,5]
[2,3,4,1,5] => [1,3,4,5,2]
[2,3,4,5,1] => [3,4,5,1,2]
[2,3,5,1,4] => [3,4,1,2,5]
[2,3,5,4,1] => [3,4,1,5,2]
[2,4,1,3,5] => [1,3,5,2,4]
[2,4,1,5,3] => [3,5,2,1,4]
[2,4,3,1,5] => [1,3,5,4,2]
[2,4,3,5,1] => [3,5,4,1,2]
[2,4,5,1,3] => [3,5,1,2,4]
[2,4,5,3,1] => [3,5,1,4,2]
[2,5,1,3,4] => [3,1,2,4,5]
[2,5,1,4,3] => [3,1,2,5,4]
[2,5,3,1,4] => [3,1,4,2,5]
[2,5,3,4,1] => [3,1,4,5,2]
[2,5,4,1,3] => [3,1,5,2,4]
[2,5,4,3,1] => [3,1,5,4,2]
[3,1,2,4,5] => [1,4,2,3,5]
[3,1,2,5,4] => [4,2,3,1,5]
[3,1,4,2,5] => [1,4,2,5,3]
[3,1,4,5,2] => [4,2,5,1,3]
[3,1,5,2,4] => [4,2,1,3,5]
[3,1,5,4,2] => [4,2,1,5,3]
[3,2,1,4,5] => [1,4,3,2,5]
[3,2,1,5,4] => [4,3,2,1,5]
[3,2,4,1,5] => [1,4,3,5,2]
[3,2,4,5,1] => [4,3,5,1,2]
[3,2,5,1,4] => [4,3,1,2,5]
[3,2,5,4,1] => [4,3,1,5,2]
[3,4,1,2,5] => [1,4,5,2,3]
[3,4,1,5,2] => [4,5,2,1,3]
[3,4,2,1,5] => [1,4,5,3,2]
[3,4,2,5,1] => [4,5,3,1,2]
[3,4,5,1,2] => [4,5,1,2,3]
[3,4,5,2,1] => [4,5,1,3,2]
[3,5,1,2,4] => [4,1,2,3,5]
[3,5,1,4,2] => [4,1,2,5,3]
[3,5,2,1,4] => [4,1,3,2,5]
[3,5,2,4,1] => [4,1,3,5,2]
[3,5,4,1,2] => [4,1,5,2,3]
[3,5,4,2,1] => [4,1,5,3,2]
[4,1,2,3,5] => [1,5,2,3,4]
[4,1,2,5,3] => [5,2,3,1,4]
[4,1,3,2,5] => [1,5,2,4,3]
[4,1,3,5,2] => [5,2,4,1,3]
[4,1,5,2,3] => [5,2,1,3,4]
[4,1,5,3,2] => [5,2,1,4,3]
[4,2,1,3,5] => [1,5,3,2,4]
[4,2,1,5,3] => [5,3,2,1,4]
[4,2,3,1,5] => [1,5,3,4,2]
[4,2,3,5,1] => [5,3,4,1,2]
[4,2,5,1,3] => [5,3,1,2,4]
[4,2,5,3,1] => [5,3,1,4,2]
[4,3,1,2,5] => [1,5,4,2,3]
[4,3,1,5,2] => [5,4,2,1,3]
[4,3,2,1,5] => [1,5,4,3,2]
[4,3,2,5,1] => [5,4,3,1,2]
[4,3,5,1,2] => [5,4,1,2,3]
[4,3,5,2,1] => [5,4,1,3,2]
[4,5,1,2,3] => [5,1,2,3,4]
[4,5,1,3,2] => [5,1,2,4,3]
[4,5,2,1,3] => [5,1,3,2,4]
[4,5,2,3,1] => [5,1,3,4,2]
[4,5,3,1,2] => [5,1,4,2,3]
[4,5,3,2,1] => [5,1,4,3,2]
[5,1,2,3,4] => [2,3,4,5,1]
[5,1,2,4,3] => [2,3,5,4,1]
[5,1,3,2,4] => [2,4,3,5,1]
[5,1,3,4,2] => [2,4,5,3,1]
[5,1,4,2,3] => [2,5,3,4,1]
[5,1,4,3,2] => [2,5,4,3,1]
[5,2,1,3,4] => [3,2,4,5,1]
[5,2,1,4,3] => [3,2,5,4,1]
[5,2,3,1,4] => [3,4,2,5,1]
[5,2,3,4,1] => [3,4,5,2,1]
[5,2,4,1,3] => [3,5,2,4,1]
[5,2,4,3,1] => [3,5,4,2,1]
[5,3,1,2,4] => [4,2,3,5,1]
[5,3,1,4,2] => [4,2,5,3,1]
[5,3,2,1,4] => [4,3,2,5,1]
[5,3,2,4,1] => [4,3,5,2,1]
[5,3,4,1,2] => [4,5,2,3,1]
[5,3,4,2,1] => [4,5,3,2,1]
[5,4,1,2,3] => [5,2,3,4,1]
[5,4,1,3,2] => [5,2,4,3,1]
[5,4,2,1,3] => [5,3,2,4,1]
[5,4,2,3,1] => [5,3,4,2,1]
[5,4,3,1,2] => [5,4,2,3,1]
[5,4,3,2,1] => [5,4,3,2,1]
[1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,2,3,4,6,5] => [2,3,4,5,1,6]
[1,2,3,5,4,6] => [1,2,3,4,6,5]
[1,2,3,5,6,4] => [2,3,4,6,1,5]
[1,2,3,6,4,5] => [2,3,4,1,5,6]
[1,2,3,6,5,4] => [2,3,4,1,6,5]
[1,2,4,3,5,6] => [1,2,3,5,4,6]
[1,2,4,3,6,5] => [2,3,5,4,1,6]
[1,2,4,5,3,6] => [1,2,3,5,6,4]
[1,2,4,5,6,3] => [2,3,5,6,1,4]
[1,2,4,6,3,5] => [2,3,5,1,4,6]
[1,2,4,6,5,3] => [2,3,5,1,6,4]
[1,2,5,3,4,6] => [1,2,3,6,4,5]
[1,2,5,3,6,4] => [2,3,6,4,1,5]
[1,2,5,4,3,6] => [1,2,3,6,5,4]
[1,2,5,4,6,3] => [2,3,6,5,1,4]
[1,2,5,6,3,4] => [2,3,6,1,4,5]
[1,2,5,6,4,3] => [2,3,6,1,5,4]
[1,2,6,3,4,5] => [2,3,1,4,5,6]
[1,2,6,3,5,4] => [2,3,1,4,6,5]
[1,2,6,4,3,5] => [2,3,1,5,4,6]
[1,2,6,4,5,3] => [2,3,1,5,6,4]
[1,2,6,5,3,4] => [2,3,1,6,4,5]
[1,2,6,5,4,3] => [2,3,1,6,5,4]
[1,3,2,4,5,6] => [1,2,4,3,5,6]
[1,3,2,4,6,5] => [2,4,3,5,1,6]
[1,3,2,5,4,6] => [1,2,4,3,6,5]
[1,3,2,5,6,4] => [2,4,3,6,1,5]
[1,3,2,6,4,5] => [2,4,3,1,5,6]
[1,3,2,6,5,4] => [2,4,3,1,6,5]
[1,3,4,2,5,6] => [1,2,4,5,3,6]
[1,3,4,2,6,5] => [2,4,5,3,1,6]
[1,3,4,5,2,6] => [1,2,4,5,6,3]
[1,3,4,5,6,2] => [2,4,5,6,1,3]
[1,3,4,6,2,5] => [2,4,5,1,3,6]
[1,3,4,6,5,2] => [2,4,5,1,6,3]
[1,3,5,2,4,6] => [1,2,4,6,3,5]
[1,3,5,2,6,4] => [2,4,6,3,1,5]
[1,3,5,4,2,6] => [1,2,4,6,5,3]
[1,3,5,4,6,2] => [2,4,6,5,1,3]
[1,3,5,6,2,4] => [2,4,6,1,3,5]
[1,3,5,6,4,2] => [2,4,6,1,5,3]
[1,3,6,2,4,5] => [2,4,1,3,5,6]
[1,3,6,2,5,4] => [2,4,1,3,6,5]
[1,3,6,4,2,5] => [2,4,1,5,3,6]
[1,3,6,4,5,2] => [2,4,1,5,6,3]
[1,3,6,5,2,4] => [2,4,1,6,3,5]
[1,3,6,5,4,2] => [2,4,1,6,5,3]
[1,4,2,3,5,6] => [1,2,5,3,4,6]
[1,4,2,3,6,5] => [2,5,3,4,1,6]
[1,4,2,5,3,6] => [1,2,5,3,6,4]
[1,4,2,5,6,3] => [2,5,3,6,1,4]
[1,4,2,6,3,5] => [2,5,3,1,4,6]
[1,4,2,6,5,3] => [2,5,3,1,6,4]
[1,4,3,2,5,6] => [1,2,5,4,3,6]
[1,4,3,2,6,5] => [2,5,4,3,1,6]
[1,4,3,5,2,6] => [1,2,5,4,6,3]
[1,4,3,5,6,2] => [2,5,4,6,1,3]
[1,4,3,6,2,5] => [2,5,4,1,3,6]
[1,4,3,6,5,2] => [2,5,4,1,6,3]
[1,4,5,2,3,6] => [1,2,5,6,3,4]
[1,4,5,2,6,3] => [2,5,6,3,1,4]
[1,4,5,3,2,6] => [1,2,5,6,4,3]
[1,4,5,3,6,2] => [2,5,6,4,1,3]
[1,4,5,6,2,3] => [2,5,6,1,3,4]
[1,4,5,6,3,2] => [2,5,6,1,4,3]
[1,4,6,2,3,5] => [2,5,1,3,4,6]
[1,4,6,2,5,3] => [2,5,1,3,6,4]
[1,4,6,3,2,5] => [2,5,1,4,3,6]
[1,4,6,3,5,2] => [2,5,1,4,6,3]
[1,4,6,5,2,3] => [2,5,1,6,3,4]
[1,4,6,5,3,2] => [2,5,1,6,4,3]
[1,5,2,3,4,6] => [1,2,6,3,4,5]
[1,5,2,3,6,4] => [2,6,3,4,1,5]
[1,5,2,4,3,6] => [1,2,6,3,5,4]
[1,5,2,4,6,3] => [2,6,3,5,1,4]
[1,5,2,6,3,4] => [2,6,3,1,4,5]
[1,5,2,6,4,3] => [2,6,3,1,5,4]
[1,5,3,2,4,6] => [1,2,6,4,3,5]
[1,5,3,2,6,4] => [2,6,4,3,1,5]
[1,5,3,4,2,6] => [1,2,6,4,5,3]
[1,5,3,4,6,2] => [2,6,4,5,1,3]
[1,5,3,6,2,4] => [2,6,4,1,3,5]
[1,5,3,6,4,2] => [2,6,4,1,5,3]
[1,5,4,2,3,6] => [1,2,6,5,3,4]
[1,5,4,2,6,3] => [2,6,5,3,1,4]
[1,5,4,3,2,6] => [1,2,6,5,4,3]
[1,5,4,3,6,2] => [2,6,5,4,1,3]
[1,5,4,6,2,3] => [2,6,5,1,3,4]
[1,5,4,6,3,2] => [2,6,5,1,4,3]
[1,5,6,2,3,4] => [2,6,1,3,4,5]
[1,5,6,2,4,3] => [2,6,1,3,5,4]
[1,5,6,3,2,4] => [2,6,1,4,3,5]
[1,5,6,3,4,2] => [2,6,1,4,5,3]
[1,5,6,4,2,3] => [2,6,1,5,3,4]
[1,5,6,4,3,2] => [2,6,1,5,4,3]
[1,6,2,3,4,5] => [2,1,3,4,5,6]
[1,6,2,3,5,4] => [2,1,3,4,6,5]
[1,6,2,4,3,5] => [2,1,3,5,4,6]
[1,6,2,4,5,3] => [2,1,3,5,6,4]
[1,6,2,5,3,4] => [2,1,3,6,4,5]
[1,6,2,5,4,3] => [2,1,3,6,5,4]
[1,6,3,2,4,5] => [2,1,4,3,5,6]
[1,6,3,2,5,4] => [2,1,4,3,6,5]
[1,6,3,4,2,5] => [2,1,4,5,3,6]
[1,6,3,4,5,2] => [2,1,4,5,6,3]
[1,6,3,5,2,4] => [2,1,4,6,3,5]
[1,6,3,5,4,2] => [2,1,4,6,5,3]
[1,6,4,2,3,5] => [2,1,5,3,4,6]
[1,6,4,2,5,3] => [2,1,5,3,6,4]
[1,6,4,3,2,5] => [2,1,5,4,3,6]
[1,6,4,3,5,2] => [2,1,5,4,6,3]
[1,6,4,5,2,3] => [2,1,5,6,3,4]
[1,6,4,5,3,2] => [2,1,5,6,4,3]
[1,6,5,2,3,4] => [2,1,6,3,4,5]
[1,6,5,2,4,3] => [2,1,6,3,5,4]
[1,6,5,3,2,4] => [2,1,6,4,3,5]
[1,6,5,3,4,2] => [2,1,6,4,5,3]
[1,6,5,4,2,3] => [2,1,6,5,3,4]
[1,6,5,4,3,2] => [2,1,6,5,4,3]
[2,1,3,4,5,6] => [1,3,2,4,5,6]
[2,1,3,4,6,5] => [3,2,4,5,1,6]
[2,1,3,5,4,6] => [1,3,2,4,6,5]
[2,1,3,5,6,4] => [3,2,4,6,1,5]
[2,1,3,6,4,5] => [3,2,4,1,5,6]
[2,1,3,6,5,4] => [3,2,4,1,6,5]
[2,1,4,3,5,6] => [1,3,2,5,4,6]
[2,1,4,3,6,5] => [3,2,5,4,1,6]
[2,1,4,5,3,6] => [1,3,2,5,6,4]
[2,1,4,5,6,3] => [3,2,5,6,1,4]
[2,1,4,6,3,5] => [3,2,5,1,4,6]
[2,1,4,6,5,3] => [3,2,5,1,6,4]
[2,1,5,3,4,6] => [1,3,2,6,4,5]
[2,1,5,3,6,4] => [3,2,6,4,1,5]
[2,1,5,4,3,6] => [1,3,2,6,5,4]
[2,1,5,4,6,3] => [3,2,6,5,1,4]
[2,1,5,6,3,4] => [3,2,6,1,4,5]
[2,1,5,6,4,3] => [3,2,6,1,5,4]
[2,1,6,3,4,5] => [3,2,1,4,5,6]
[2,1,6,3,5,4] => [3,2,1,4,6,5]
[2,1,6,4,3,5] => [3,2,1,5,4,6]
[2,1,6,4,5,3] => [3,2,1,5,6,4]
[2,1,6,5,3,4] => [3,2,1,6,4,5]
[2,1,6,5,4,3] => [3,2,1,6,5,4]
[2,3,1,4,5,6] => [1,3,4,2,5,6]
[2,3,1,4,6,5] => [3,4,2,5,1,6]
[2,3,1,5,4,6] => [1,3,4,2,6,5]
[2,3,1,5,6,4] => [3,4,2,6,1,5]
[2,3,1,6,4,5] => [3,4,2,1,5,6]
[2,3,1,6,5,4] => [3,4,2,1,6,5]
[2,3,4,1,5,6] => [1,3,4,5,2,6]
[2,3,4,1,6,5] => [3,4,5,2,1,6]
[2,3,4,5,1,6] => [1,3,4,5,6,2]
[2,3,4,5,6,1] => [3,4,5,6,1,2]
[2,3,4,6,1,5] => [3,4,5,1,2,6]
[2,3,4,6,5,1] => [3,4,5,1,6,2]
[2,3,5,1,4,6] => [1,3,4,6,2,5]
[2,3,5,1,6,4] => [3,4,6,2,1,5]
[2,3,5,4,1,6] => [1,3,4,6,5,2]
[2,3,5,4,6,1] => [3,4,6,5,1,2]
[2,3,5,6,1,4] => [3,4,6,1,2,5]
[2,3,5,6,4,1] => [3,4,6,1,5,2]
[2,3,6,1,4,5] => [3,4,1,2,5,6]
[2,3,6,1,5,4] => [3,4,1,2,6,5]
[2,3,6,4,1,5] => [3,4,1,5,2,6]
[2,3,6,4,5,1] => [3,4,1,5,6,2]
[2,3,6,5,1,4] => [3,4,1,6,2,5]
[2,3,6,5,4,1] => [3,4,1,6,5,2]
[2,4,1,3,5,6] => [1,3,5,2,4,6]
[2,4,1,3,6,5] => [3,5,2,4,1,6]
[2,4,1,5,3,6] => [1,3,5,2,6,4]
[2,4,1,5,6,3] => [3,5,2,6,1,4]
[2,4,1,6,3,5] => [3,5,2,1,4,6]
[2,4,1,6,5,3] => [3,5,2,1,6,4]
[2,4,3,1,5,6] => [1,3,5,4,2,6]
[2,4,3,1,6,5] => [3,5,4,2,1,6]
[2,4,3,5,1,6] => [1,3,5,4,6,2]
[2,4,3,5,6,1] => [3,5,4,6,1,2]
[2,4,3,6,1,5] => [3,5,4,1,2,6]
[2,4,3,6,5,1] => [3,5,4,1,6,2]
[2,4,5,1,3,6] => [1,3,5,6,2,4]
[2,4,5,1,6,3] => [3,5,6,2,1,4]
[2,4,5,3,1,6] => [1,3,5,6,4,2]
[2,4,5,3,6,1] => [3,5,6,4,1,2]
[2,4,5,6,1,3] => [3,5,6,1,2,4]
[2,4,5,6,3,1] => [3,5,6,1,4,2]
[2,4,6,1,3,5] => [3,5,1,2,4,6]
[2,4,6,1,5,3] => [3,5,1,2,6,4]
[2,4,6,3,1,5] => [3,5,1,4,2,6]
[2,4,6,3,5,1] => [3,5,1,4,6,2]
[2,4,6,5,1,3] => [3,5,1,6,2,4]
[2,4,6,5,3,1] => [3,5,1,6,4,2]
[2,5,1,3,4,6] => [1,3,6,2,4,5]
[2,5,1,3,6,4] => [3,6,2,4,1,5]
[2,5,1,4,3,6] => [1,3,6,2,5,4]
[2,5,1,4,6,3] => [3,6,2,5,1,4]
[2,5,1,6,3,4] => [3,6,2,1,4,5]
[2,5,1,6,4,3] => [3,6,2,1,5,4]
[2,5,3,1,4,6] => [1,3,6,4,2,5]
[2,5,3,1,6,4] => [3,6,4,2,1,5]
[2,5,3,4,1,6] => [1,3,6,4,5,2]
[2,5,3,4,6,1] => [3,6,4,5,1,2]
[2,5,3,6,1,4] => [3,6,4,1,2,5]
[2,5,3,6,4,1] => [3,6,4,1,5,2]
[2,5,4,1,3,6] => [1,3,6,5,2,4]
[2,5,4,1,6,3] => [3,6,5,2,1,4]
[2,5,4,3,1,6] => [1,3,6,5,4,2]
[2,5,4,3,6,1] => [3,6,5,4,1,2]
[2,5,4,6,1,3] => [3,6,5,1,2,4]
[2,5,4,6,3,1] => [3,6,5,1,4,2]
[2,5,6,1,3,4] => [3,6,1,2,4,5]
[2,5,6,1,4,3] => [3,6,1,2,5,4]
[2,5,6,3,1,4] => [3,6,1,4,2,5]
[2,5,6,3,4,1] => [3,6,1,4,5,2]
[2,5,6,4,1,3] => [3,6,1,5,2,4]
[2,5,6,4,3,1] => [3,6,1,5,4,2]
[2,6,1,3,4,5] => [3,1,2,4,5,6]
[2,6,1,3,5,4] => [3,1,2,4,6,5]
[2,6,1,4,3,5] => [3,1,2,5,4,6]
[2,6,1,4,5,3] => [3,1,2,5,6,4]
[2,6,1,5,3,4] => [3,1,2,6,4,5]
[2,6,1,5,4,3] => [3,1,2,6,5,4]
[2,6,3,1,4,5] => [3,1,4,2,5,6]
[2,6,3,1,5,4] => [3,1,4,2,6,5]
[2,6,3,4,1,5] => [3,1,4,5,2,6]
[2,6,3,4,5,1] => [3,1,4,5,6,2]
[2,6,3,5,1,4] => [3,1,4,6,2,5]
[2,6,3,5,4,1] => [3,1,4,6,5,2]
[2,6,4,1,3,5] => [3,1,5,2,4,6]
[2,6,4,1,5,3] => [3,1,5,2,6,4]
[2,6,4,3,1,5] => [3,1,5,4,2,6]
[2,6,4,3,5,1] => [3,1,5,4,6,2]
[2,6,4,5,1,3] => [3,1,5,6,2,4]
[2,6,4,5,3,1] => [3,1,5,6,4,2]
[2,6,5,1,3,4] => [3,1,6,2,4,5]
[2,6,5,1,4,3] => [3,1,6,2,5,4]
[2,6,5,3,1,4] => [3,1,6,4,2,5]
[2,6,5,3,4,1] => [3,1,6,4,5,2]
[2,6,5,4,1,3] => [3,1,6,5,2,4]
[2,6,5,4,3,1] => [3,1,6,5,4,2]
[3,1,2,4,5,6] => [1,4,2,3,5,6]
[3,1,2,4,6,5] => [4,2,3,5,1,6]
[3,1,2,5,4,6] => [1,4,2,3,6,5]
[3,1,2,5,6,4] => [4,2,3,6,1,5]
[3,1,2,6,4,5] => [4,2,3,1,5,6]
[3,1,2,6,5,4] => [4,2,3,1,6,5]
[3,1,4,2,5,6] => [1,4,2,5,3,6]
[3,1,4,2,6,5] => [4,2,5,3,1,6]
[3,1,4,5,2,6] => [1,4,2,5,6,3]
[3,1,4,5,6,2] => [4,2,5,6,1,3]
[3,1,4,6,2,5] => [4,2,5,1,3,6]
[3,1,4,6,5,2] => [4,2,5,1,6,3]
[3,1,5,2,4,6] => [1,4,2,6,3,5]
[3,1,5,2,6,4] => [4,2,6,3,1,5]
[3,1,5,4,2,6] => [1,4,2,6,5,3]
[3,1,5,4,6,2] => [4,2,6,5,1,3]
[3,1,5,6,2,4] => [4,2,6,1,3,5]
[3,1,5,6,4,2] => [4,2,6,1,5,3]
[3,1,6,2,4,5] => [4,2,1,3,5,6]
[3,1,6,2,5,4] => [4,2,1,3,6,5]
[3,1,6,4,2,5] => [4,2,1,5,3,6]
[3,1,6,4,5,2] => [4,2,1,5,6,3]
[3,1,6,5,2,4] => [4,2,1,6,3,5]
[3,1,6,5,4,2] => [4,2,1,6,5,3]
[3,2,1,4,5,6] => [1,4,3,2,5,6]
[3,2,1,4,6,5] => [4,3,2,5,1,6]
[3,2,1,5,4,6] => [1,4,3,2,6,5]
[3,2,1,5,6,4] => [4,3,2,6,1,5]
[3,2,1,6,4,5] => [4,3,2,1,5,6]
[3,2,1,6,5,4] => [4,3,2,1,6,5]
[3,2,4,1,5,6] => [1,4,3,5,2,6]
[3,2,4,1,6,5] => [4,3,5,2,1,6]
[3,2,4,5,1,6] => [1,4,3,5,6,2]
[3,2,4,5,6,1] => [4,3,5,6,1,2]
[3,2,4,6,1,5] => [4,3,5,1,2,6]
[3,2,4,6,5,1] => [4,3,5,1,6,2]
[3,2,5,1,4,6] => [1,4,3,6,2,5]
[3,2,5,1,6,4] => [4,3,6,2,1,5]
[3,2,5,4,1,6] => [1,4,3,6,5,2]
[3,2,5,4,6,1] => [4,3,6,5,1,2]
[3,2,5,6,1,4] => [4,3,6,1,2,5]
[3,2,5,6,4,1] => [4,3,6,1,5,2]
[3,2,6,1,4,5] => [4,3,1,2,5,6]
[3,2,6,1,5,4] => [4,3,1,2,6,5]
[3,2,6,4,1,5] => [4,3,1,5,2,6]
[3,2,6,4,5,1] => [4,3,1,5,6,2]
[3,2,6,5,1,4] => [4,3,1,6,2,5]
[3,2,6,5,4,1] => [4,3,1,6,5,2]
[3,4,1,2,5,6] => [1,4,5,2,3,6]
[3,4,1,2,6,5] => [4,5,2,3,1,6]
[3,4,1,5,2,6] => [1,4,5,2,6,3]
[3,4,1,5,6,2] => [4,5,2,6,1,3]
[3,4,1,6,2,5] => [4,5,2,1,3,6]
[3,4,1,6,5,2] => [4,5,2,1,6,3]
[3,4,2,1,5,6] => [1,4,5,3,2,6]
[3,4,2,1,6,5] => [4,5,3,2,1,6]
[3,4,2,5,1,6] => [1,4,5,3,6,2]
[3,4,2,5,6,1] => [4,5,3,6,1,2]
[3,4,2,6,1,5] => [4,5,3,1,2,6]
[3,4,2,6,5,1] => [4,5,3,1,6,2]
[3,4,5,1,2,6] => [1,4,5,6,2,3]
[3,4,5,1,6,2] => [4,5,6,2,1,3]
[3,4,5,2,1,6] => [1,4,5,6,3,2]
[3,4,5,2,6,1] => [4,5,6,3,1,2]
[3,4,5,6,1,2] => [4,5,6,1,2,3]
[3,4,5,6,2,1] => [4,5,6,1,3,2]
[3,4,6,1,2,5] => [4,5,1,2,3,6]
[3,4,6,1,5,2] => [4,5,1,2,6,3]
[3,4,6,2,1,5] => [4,5,1,3,2,6]
[3,4,6,2,5,1] => [4,5,1,3,6,2]
[3,4,6,5,1,2] => [4,5,1,6,2,3]
[3,4,6,5,2,1] => [4,5,1,6,3,2]
[3,5,1,2,4,6] => [1,4,6,2,3,5]
[3,5,1,2,6,4] => [4,6,2,3,1,5]
[3,5,1,4,2,6] => [1,4,6,2,5,3]
[3,5,1,4,6,2] => [4,6,2,5,1,3]
[3,5,1,6,2,4] => [4,6,2,1,3,5]
[3,5,1,6,4,2] => [4,6,2,1,5,3]
[3,5,2,1,4,6] => [1,4,6,3,2,5]
[3,5,2,1,6,4] => [4,6,3,2,1,5]
[3,5,2,4,1,6] => [1,4,6,3,5,2]
[3,5,2,4,6,1] => [4,6,3,5,1,2]
[3,5,2,6,1,4] => [4,6,3,1,2,5]
[3,5,2,6,4,1] => [4,6,3,1,5,2]
[3,5,4,1,2,6] => [1,4,6,5,2,3]
[3,5,4,1,6,2] => [4,6,5,2,1,3]
[3,5,4,2,1,6] => [1,4,6,5,3,2]
[3,5,4,2,6,1] => [4,6,5,3,1,2]
[3,5,4,6,1,2] => [4,6,5,1,2,3]
[3,5,4,6,2,1] => [4,6,5,1,3,2]
[3,5,6,1,2,4] => [4,6,1,2,3,5]
[3,5,6,1,4,2] => [4,6,1,2,5,3]
[3,5,6,2,1,4] => [4,6,1,3,2,5]
[3,5,6,2,4,1] => [4,6,1,3,5,2]
[3,5,6,4,1,2] => [4,6,1,5,2,3]
[3,5,6,4,2,1] => [4,6,1,5,3,2]
[3,6,1,2,4,5] => [4,1,2,3,5,6]
[3,6,1,2,5,4] => [4,1,2,3,6,5]
[3,6,1,4,2,5] => [4,1,2,5,3,6]
[3,6,1,4,5,2] => [4,1,2,5,6,3]
[3,6,1,5,2,4] => [4,1,2,6,3,5]
[3,6,1,5,4,2] => [4,1,2,6,5,3]
[3,6,2,1,4,5] => [4,1,3,2,5,6]
[3,6,2,1,5,4] => [4,1,3,2,6,5]
[3,6,2,4,1,5] => [4,1,3,5,2,6]
[3,6,2,4,5,1] => [4,1,3,5,6,2]
[3,6,2,5,1,4] => [4,1,3,6,2,5]
[3,6,2,5,4,1] => [4,1,3,6,5,2]
[3,6,4,1,2,5] => [4,1,5,2,3,6]
[3,6,4,1,5,2] => [4,1,5,2,6,3]
[3,6,4,2,1,5] => [4,1,5,3,2,6]
[3,6,4,2,5,1] => [4,1,5,3,6,2]
[3,6,4,5,1,2] => [4,1,5,6,2,3]
[3,6,4,5,2,1] => [4,1,5,6,3,2]
[3,6,5,1,2,4] => [4,1,6,2,3,5]
[3,6,5,1,4,2] => [4,1,6,2,5,3]
[3,6,5,2,1,4] => [4,1,6,3,2,5]
[3,6,5,2,4,1] => [4,1,6,3,5,2]
[3,6,5,4,1,2] => [4,1,6,5,2,3]
[3,6,5,4,2,1] => [4,1,6,5,3,2]
[4,1,2,3,5,6] => [1,5,2,3,4,6]
[4,1,2,3,6,5] => [5,2,3,4,1,6]
[4,1,2,5,3,6] => [1,5,2,3,6,4]
[4,1,2,5,6,3] => [5,2,3,6,1,4]
[4,1,2,6,3,5] => [5,2,3,1,4,6]
[4,1,2,6,5,3] => [5,2,3,1,6,4]
[4,1,3,2,5,6] => [1,5,2,4,3,6]
[4,1,3,2,6,5] => [5,2,4,3,1,6]
[4,1,3,5,2,6] => [1,5,2,4,6,3]
[4,1,3,5,6,2] => [5,2,4,6,1,3]
[4,1,3,6,2,5] => [5,2,4,1,3,6]
[4,1,3,6,5,2] => [5,2,4,1,6,3]
[4,1,5,2,3,6] => [1,5,2,6,3,4]
[4,1,5,2,6,3] => [5,2,6,3,1,4]
[4,1,5,3,2,6] => [1,5,2,6,4,3]
[4,1,5,3,6,2] => [5,2,6,4,1,3]
[4,1,5,6,2,3] => [5,2,6,1,3,4]
[4,1,5,6,3,2] => [5,2,6,1,4,3]
[4,1,6,2,3,5] => [5,2,1,3,4,6]
[4,1,6,2,5,3] => [5,2,1,3,6,4]
[4,1,6,3,2,5] => [5,2,1,4,3,6]
[4,1,6,3,5,2] => [5,2,1,4,6,3]
[4,1,6,5,2,3] => [5,2,1,6,3,4]
[4,1,6,5,3,2] => [5,2,1,6,4,3]
[4,2,1,3,5,6] => [1,5,3,2,4,6]
[4,2,1,3,6,5] => [5,3,2,4,1,6]
[4,2,1,5,3,6] => [1,5,3,2,6,4]
[4,2,1,5,6,3] => [5,3,2,6,1,4]
[4,2,1,6,3,5] => [5,3,2,1,4,6]
[4,2,1,6,5,3] => [5,3,2,1,6,4]
[4,2,3,1,5,6] => [1,5,3,4,2,6]
[4,2,3,1,6,5] => [5,3,4,2,1,6]
[4,2,3,5,1,6] => [1,5,3,4,6,2]
[4,2,3,5,6,1] => [5,3,4,6,1,2]
[4,2,3,6,1,5] => [5,3,4,1,2,6]
[4,2,3,6,5,1] => [5,3,4,1,6,2]
[4,2,5,1,3,6] => [1,5,3,6,2,4]
[4,2,5,1,6,3] => [5,3,6,2,1,4]
[4,2,5,3,1,6] => [1,5,3,6,4,2]
[4,2,5,3,6,1] => [5,3,6,4,1,2]
[4,2,5,6,1,3] => [5,3,6,1,2,4]
[4,2,5,6,3,1] => [5,3,6,1,4,2]
[4,2,6,1,3,5] => [5,3,1,2,4,6]
[4,2,6,1,5,3] => [5,3,1,2,6,4]
[4,2,6,3,1,5] => [5,3,1,4,2,6]
[4,2,6,3,5,1] => [5,3,1,4,6,2]
[4,2,6,5,1,3] => [5,3,1,6,2,4]
[4,2,6,5,3,1] => [5,3,1,6,4,2]
[4,3,1,2,5,6] => [1,5,4,2,3,6]
[4,3,1,2,6,5] => [5,4,2,3,1,6]
[4,3,1,5,2,6] => [1,5,4,2,6,3]
[4,3,1,5,6,2] => [5,4,2,6,1,3]
[4,3,1,6,2,5] => [5,4,2,1,3,6]
[4,3,1,6,5,2] => [5,4,2,1,6,3]
[4,3,2,1,5,6] => [1,5,4,3,2,6]
[4,3,2,1,6,5] => [5,4,3,2,1,6]
[4,3,2,5,1,6] => [1,5,4,3,6,2]
[4,3,2,5,6,1] => [5,4,3,6,1,2]
[4,3,2,6,1,5] => [5,4,3,1,2,6]
[4,3,2,6,5,1] => [5,4,3,1,6,2]
[4,3,5,1,2,6] => [1,5,4,6,2,3]
[4,3,5,1,6,2] => [5,4,6,2,1,3]
[4,3,5,2,1,6] => [1,5,4,6,3,2]
[4,3,5,2,6,1] => [5,4,6,3,1,2]
[4,3,5,6,1,2] => [5,4,6,1,2,3]
[4,3,5,6,2,1] => [5,4,6,1,3,2]
[4,3,6,1,2,5] => [5,4,1,2,3,6]
[4,3,6,1,5,2] => [5,4,1,2,6,3]
[4,3,6,2,1,5] => [5,4,1,3,2,6]
[4,3,6,2,5,1] => [5,4,1,3,6,2]
[4,3,6,5,1,2] => [5,4,1,6,2,3]
[4,3,6,5,2,1] => [5,4,1,6,3,2]
[4,5,1,2,3,6] => [1,5,6,2,3,4]
[4,5,1,2,6,3] => [5,6,2,3,1,4]
[4,5,1,3,2,6] => [1,5,6,2,4,3]
[4,5,1,3,6,2] => [5,6,2,4,1,3]
[4,5,1,6,2,3] => [5,6,2,1,3,4]
[4,5,1,6,3,2] => [5,6,2,1,4,3]
[4,5,2,1,3,6] => [1,5,6,3,2,4]
[4,5,2,1,6,3] => [5,6,3,2,1,4]
[4,5,2,3,1,6] => [1,5,6,3,4,2]
[4,5,2,3,6,1] => [5,6,3,4,1,2]
[4,5,2,6,1,3] => [5,6,3,1,2,4]
[4,5,2,6,3,1] => [5,6,3,1,4,2]
[4,5,3,1,2,6] => [1,5,6,4,2,3]
[4,5,3,1,6,2] => [5,6,4,2,1,3]
[4,5,3,2,1,6] => [1,5,6,4,3,2]
[4,5,3,2,6,1] => [5,6,4,3,1,2]
[4,5,3,6,1,2] => [5,6,4,1,2,3]
[4,5,3,6,2,1] => [5,6,4,1,3,2]
[4,5,6,1,2,3] => [5,6,1,2,3,4]
[4,5,6,1,3,2] => [5,6,1,2,4,3]
[4,5,6,2,1,3] => [5,6,1,3,2,4]
[4,5,6,2,3,1] => [5,6,1,3,4,2]
[4,5,6,3,1,2] => [5,6,1,4,2,3]
[4,5,6,3,2,1] => [5,6,1,4,3,2]
[4,6,1,2,3,5] => [5,1,2,3,4,6]
[4,6,1,2,5,3] => [5,1,2,3,6,4]
[4,6,1,3,2,5] => [5,1,2,4,3,6]
[4,6,1,3,5,2] => [5,1,2,4,6,3]
[4,6,1,5,2,3] => [5,1,2,6,3,4]
[4,6,1,5,3,2] => [5,1,2,6,4,3]
[4,6,2,1,3,5] => [5,1,3,2,4,6]
[4,6,2,1,5,3] => [5,1,3,2,6,4]
[4,6,2,3,1,5] => [5,1,3,4,2,6]
[4,6,2,3,5,1] => [5,1,3,4,6,2]
[4,6,2,5,1,3] => [5,1,3,6,2,4]
[4,6,2,5,3,1] => [5,1,3,6,4,2]
[4,6,3,1,2,5] => [5,1,4,2,3,6]
[4,6,3,1,5,2] => [5,1,4,2,6,3]
[4,6,3,2,1,5] => [5,1,4,3,2,6]
[4,6,3,2,5,1] => [5,1,4,3,6,2]
[4,6,3,5,1,2] => [5,1,4,6,2,3]
[4,6,3,5,2,1] => [5,1,4,6,3,2]
[4,6,5,1,2,3] => [5,1,6,2,3,4]
[4,6,5,1,3,2] => [5,1,6,2,4,3]
[4,6,5,2,1,3] => [5,1,6,3,2,4]
[4,6,5,2,3,1] => [5,1,6,3,4,2]
[4,6,5,3,1,2] => [5,1,6,4,2,3]
[4,6,5,3,2,1] => [5,1,6,4,3,2]
[5,1,2,3,4,6] => [1,6,2,3,4,5]
[5,1,2,3,6,4] => [6,2,3,4,1,5]
[5,1,2,4,3,6] => [1,6,2,3,5,4]
[5,1,2,4,6,3] => [6,2,3,5,1,4]
[5,1,2,6,3,4] => [6,2,3,1,4,5]
[5,1,2,6,4,3] => [6,2,3,1,5,4]
[5,1,3,2,4,6] => [1,6,2,4,3,5]
[5,1,3,2,6,4] => [6,2,4,3,1,5]
[5,1,3,4,2,6] => [1,6,2,4,5,3]
[5,1,3,4,6,2] => [6,2,4,5,1,3]
[5,1,3,6,2,4] => [6,2,4,1,3,5]
[5,1,3,6,4,2] => [6,2,4,1,5,3]
[5,1,4,2,3,6] => [1,6,2,5,3,4]
[5,1,4,2,6,3] => [6,2,5,3,1,4]
[5,1,4,3,2,6] => [1,6,2,5,4,3]
[5,1,4,3,6,2] => [6,2,5,4,1,3]
[5,1,4,6,2,3] => [6,2,5,1,3,4]
[5,1,4,6,3,2] => [6,2,5,1,4,3]
[5,1,6,2,3,4] => [6,2,1,3,4,5]
[5,1,6,2,4,3] => [6,2,1,3,5,4]
[5,1,6,3,2,4] => [6,2,1,4,3,5]
[5,1,6,3,4,2] => [6,2,1,4,5,3]
[5,1,6,4,2,3] => [6,2,1,5,3,4]
[5,1,6,4,3,2] => [6,2,1,5,4,3]
[5,2,1,3,4,6] => [1,6,3,2,4,5]
[5,2,1,3,6,4] => [6,3,2,4,1,5]
[5,2,1,4,3,6] => [1,6,3,2,5,4]
[5,2,1,4,6,3] => [6,3,2,5,1,4]
[5,2,1,6,3,4] => [6,3,2,1,4,5]
[5,2,1,6,4,3] => [6,3,2,1,5,4]
[5,2,3,1,4,6] => [1,6,3,4,2,5]
[5,2,3,1,6,4] => [6,3,4,2,1,5]
[5,2,3,4,1,6] => [1,6,3,4,5,2]
[5,2,3,4,6,1] => [6,3,4,5,1,2]
[5,2,3,6,1,4] => [6,3,4,1,2,5]
[5,2,3,6,4,1] => [6,3,4,1,5,2]
[5,2,4,1,3,6] => [1,6,3,5,2,4]
[5,2,4,1,6,3] => [6,3,5,2,1,4]
[5,2,4,3,1,6] => [1,6,3,5,4,2]
[5,2,4,3,6,1] => [6,3,5,4,1,2]
[5,2,4,6,1,3] => [6,3,5,1,2,4]
[5,2,4,6,3,1] => [6,3,5,1,4,2]
[5,2,6,1,3,4] => [6,3,1,2,4,5]
[5,2,6,1,4,3] => [6,3,1,2,5,4]
[5,2,6,3,1,4] => [6,3,1,4,2,5]
[5,2,6,3,4,1] => [6,3,1,4,5,2]
[5,2,6,4,1,3] => [6,3,1,5,2,4]
[5,2,6,4,3,1] => [6,3,1,5,4,2]
[5,3,1,2,4,6] => [1,6,4,2,3,5]
[5,3,1,2,6,4] => [6,4,2,3,1,5]
[5,3,1,4,2,6] => [1,6,4,2,5,3]
[5,3,1,4,6,2] => [6,4,2,5,1,3]
[5,3,1,6,2,4] => [6,4,2,1,3,5]
[5,3,1,6,4,2] => [6,4,2,1,5,3]
[5,3,2,1,4,6] => [1,6,4,3,2,5]
[5,3,2,1,6,4] => [6,4,3,2,1,5]
[5,3,2,4,1,6] => [1,6,4,3,5,2]
[5,3,2,4,6,1] => [6,4,3,5,1,2]
[5,3,2,6,1,4] => [6,4,3,1,2,5]
[5,3,2,6,4,1] => [6,4,3,1,5,2]
[5,3,4,1,2,6] => [1,6,4,5,2,3]
[5,3,4,1,6,2] => [6,4,5,2,1,3]
[5,3,4,2,1,6] => [1,6,4,5,3,2]
[5,3,4,2,6,1] => [6,4,5,3,1,2]
[5,3,4,6,1,2] => [6,4,5,1,2,3]
[5,3,4,6,2,1] => [6,4,5,1,3,2]
[5,3,6,1,2,4] => [6,4,1,2,3,5]
[5,3,6,1,4,2] => [6,4,1,2,5,3]
[5,3,6,2,1,4] => [6,4,1,3,2,5]
[5,3,6,2,4,1] => [6,4,1,3,5,2]
[5,3,6,4,1,2] => [6,4,1,5,2,3]
[5,3,6,4,2,1] => [6,4,1,5,3,2]
[5,4,1,2,3,6] => [1,6,5,2,3,4]
[5,4,1,2,6,3] => [6,5,2,3,1,4]
[5,4,1,3,2,6] => [1,6,5,2,4,3]
[5,4,1,3,6,2] => [6,5,2,4,1,3]
[5,4,1,6,2,3] => [6,5,2,1,3,4]
[5,4,1,6,3,2] => [6,5,2,1,4,3]
[5,4,2,1,3,6] => [1,6,5,3,2,4]
[5,4,2,1,6,3] => [6,5,3,2,1,4]
[5,4,2,3,1,6] => [1,6,5,3,4,2]
[5,4,2,3,6,1] => [6,5,3,4,1,2]
[5,4,2,6,1,3] => [6,5,3,1,2,4]
[5,4,2,6,3,1] => [6,5,3,1,4,2]
[5,4,3,1,2,6] => [1,6,5,4,2,3]
[5,4,3,1,6,2] => [6,5,4,2,1,3]
[5,4,3,2,1,6] => [1,6,5,4,3,2]
[5,4,3,2,6,1] => [6,5,4,3,1,2]
[5,4,3,6,1,2] => [6,5,4,1,2,3]
[5,4,3,6,2,1] => [6,5,4,1,3,2]
[5,4,6,1,2,3] => [6,5,1,2,3,4]
[5,4,6,1,3,2] => [6,5,1,2,4,3]
[5,4,6,2,1,3] => [6,5,1,3,2,4]
[5,4,6,2,3,1] => [6,5,1,3,4,2]
[5,4,6,3,1,2] => [6,5,1,4,2,3]
[5,4,6,3,2,1] => [6,5,1,4,3,2]
[5,6,1,2,3,4] => [6,1,2,3,4,5]
[5,6,1,2,4,3] => [6,1,2,3,5,4]
[5,6,1,3,2,4] => [6,1,2,4,3,5]
[5,6,1,3,4,2] => [6,1,2,4,5,3]
[5,6,1,4,2,3] => [6,1,2,5,3,4]
[5,6,1,4,3,2] => [6,1,2,5,4,3]
[5,6,2,1,3,4] => [6,1,3,2,4,5]
[5,6,2,1,4,3] => [6,1,3,2,5,4]
[5,6,2,3,1,4] => [6,1,3,4,2,5]
[5,6,2,3,4,1] => [6,1,3,4,5,2]
[5,6,2,4,1,3] => [6,1,3,5,2,4]
[5,6,2,4,3,1] => [6,1,3,5,4,2]
[5,6,3,1,2,4] => [6,1,4,2,3,5]
[5,6,3,1,4,2] => [6,1,4,2,5,3]
[5,6,3,2,1,4] => [6,1,4,3,2,5]
[5,6,3,2,4,1] => [6,1,4,3,5,2]
[5,6,3,4,1,2] => [6,1,4,5,2,3]
[5,6,3,4,2,1] => [6,1,4,5,3,2]
[5,6,4,1,2,3] => [6,1,5,2,3,4]
[5,6,4,1,3,2] => [6,1,5,2,4,3]
[5,6,4,2,1,3] => [6,1,5,3,2,4]
[5,6,4,2,3,1] => [6,1,5,3,4,2]
[5,6,4,3,1,2] => [6,1,5,4,2,3]
[5,6,4,3,2,1] => [6,1,5,4,3,2]
[6,1,2,3,4,5] => [2,3,4,5,6,1]
[6,1,2,3,5,4] => [2,3,4,6,5,1]
[6,1,2,4,3,5] => [2,3,5,4,6,1]
[6,1,2,4,5,3] => [2,3,5,6,4,1]
[6,1,2,5,3,4] => [2,3,6,4,5,1]
[6,1,2,5,4,3] => [2,3,6,5,4,1]
[6,1,3,2,4,5] => [2,4,3,5,6,1]
[6,1,3,2,5,4] => [2,4,3,6,5,1]
[6,1,3,4,2,5] => [2,4,5,3,6,1]
[6,1,3,4,5,2] => [2,4,5,6,3,1]
[6,1,3,5,2,4] => [2,4,6,3,5,1]
[6,1,3,5,4,2] => [2,4,6,5,3,1]
[6,1,4,2,3,5] => [2,5,3,4,6,1]
[6,1,4,2,5,3] => [2,5,3,6,4,1]
[6,1,4,3,2,5] => [2,5,4,3,6,1]
[6,1,4,3,5,2] => [2,5,4,6,3,1]
[6,1,4,5,2,3] => [2,5,6,3,4,1]
[6,1,4,5,3,2] => [2,5,6,4,3,1]
[6,1,5,2,3,4] => [2,6,3,4,5,1]
[6,1,5,2,4,3] => [2,6,3,5,4,1]
[6,1,5,3,2,4] => [2,6,4,3,5,1]
[6,1,5,3,4,2] => [2,6,4,5,3,1]
[6,1,5,4,2,3] => [2,6,5,3,4,1]
[6,1,5,4,3,2] => [2,6,5,4,3,1]
[6,2,1,3,4,5] => [3,2,4,5,6,1]
[6,2,1,3,5,4] => [3,2,4,6,5,1]
[6,2,1,4,3,5] => [3,2,5,4,6,1]
[6,2,1,4,5,3] => [3,2,5,6,4,1]
[6,2,1,5,3,4] => [3,2,6,4,5,1]
[6,2,1,5,4,3] => [3,2,6,5,4,1]
[6,2,3,1,4,5] => [3,4,2,5,6,1]
[6,2,3,1,5,4] => [3,4,2,6,5,1]
[6,2,3,4,1,5] => [3,4,5,2,6,1]
[6,2,3,4,5,1] => [3,4,5,6,2,1]
[6,2,3,5,1,4] => [3,4,6,2,5,1]
[6,2,3,5,4,1] => [3,4,6,5,2,1]
[6,2,4,1,3,5] => [3,5,2,4,6,1]
[6,2,4,1,5,3] => [3,5,2,6,4,1]
[6,2,4,3,1,5] => [3,5,4,2,6,1]
[6,2,4,3,5,1] => [3,5,4,6,2,1]
[6,2,4,5,1,3] => [3,5,6,2,4,1]
[6,2,4,5,3,1] => [3,5,6,4,2,1]
[6,2,5,1,3,4] => [3,6,2,4,5,1]
[6,2,5,1,4,3] => [3,6,2,5,4,1]
[6,2,5,3,1,4] => [3,6,4,2,5,1]
[6,2,5,3,4,1] => [3,6,4,5,2,1]
[6,2,5,4,1,3] => [3,6,5,2,4,1]
[6,2,5,4,3,1] => [3,6,5,4,2,1]
[6,3,1,2,4,5] => [4,2,3,5,6,1]
[6,3,1,2,5,4] => [4,2,3,6,5,1]
[6,3,1,4,2,5] => [4,2,5,3,6,1]
[6,3,1,4,5,2] => [4,2,5,6,3,1]
[6,3,1,5,2,4] => [4,2,6,3,5,1]
[6,3,1,5,4,2] => [4,2,6,5,3,1]
[6,3,2,1,4,5] => [4,3,2,5,6,1]
[6,3,2,1,5,4] => [4,3,2,6,5,1]
[6,3,2,4,1,5] => [4,3,5,2,6,1]
[6,3,2,4,5,1] => [4,3,5,6,2,1]
[6,3,2,5,1,4] => [4,3,6,2,5,1]
[6,3,2,5,4,1] => [4,3,6,5,2,1]
[6,3,4,1,2,5] => [4,5,2,3,6,1]
[6,3,4,1,5,2] => [4,5,2,6,3,1]
[6,3,4,2,1,5] => [4,5,3,2,6,1]
[6,3,4,2,5,1] => [4,5,3,6,2,1]
[6,3,4,5,1,2] => [4,5,6,2,3,1]
[6,3,4,5,2,1] => [4,5,6,3,2,1]
[6,3,5,1,2,4] => [4,6,2,3,5,1]
[6,3,5,1,4,2] => [4,6,2,5,3,1]
[6,3,5,2,1,4] => [4,6,3,2,5,1]
[6,3,5,2,4,1] => [4,6,3,5,2,1]
[6,3,5,4,1,2] => [4,6,5,2,3,1]
[6,3,5,4,2,1] => [4,6,5,3,2,1]
[6,4,1,2,3,5] => [5,2,3,4,6,1]
[6,4,1,2,5,3] => [5,2,3,6,4,1]
[6,4,1,3,2,5] => [5,2,4,3,6,1]
[6,4,1,3,5,2] => [5,2,4,6,3,1]
[6,4,1,5,2,3] => [5,2,6,3,4,1]
[6,4,1,5,3,2] => [5,2,6,4,3,1]
[6,4,2,1,3,5] => [5,3,2,4,6,1]
[6,4,2,1,5,3] => [5,3,2,6,4,1]
[6,4,2,3,1,5] => [5,3,4,2,6,1]
[6,4,2,3,5,1] => [5,3,4,6,2,1]
[6,4,2,5,1,3] => [5,3,6,2,4,1]
[6,4,2,5,3,1] => [5,3,6,4,2,1]
[6,4,3,1,2,5] => [5,4,2,3,6,1]
[6,4,3,1,5,2] => [5,4,2,6,3,1]
[6,4,3,2,1,5] => [5,4,3,2,6,1]
[6,4,3,2,5,1] => [5,4,3,6,2,1]
[6,4,3,5,1,2] => [5,4,6,2,3,1]
[6,4,3,5,2,1] => [5,4,6,3,2,1]
[6,4,5,1,2,3] => [5,6,2,3,4,1]
[6,4,5,1,3,2] => [5,6,2,4,3,1]
[6,4,5,2,1,3] => [5,6,3,2,4,1]
[6,4,5,2,3,1] => [5,6,3,4,2,1]
[6,4,5,3,1,2] => [5,6,4,2,3,1]
[6,4,5,3,2,1] => [5,6,4,3,2,1]
[6,5,1,2,3,4] => [6,2,3,4,5,1]
[6,5,1,2,4,3] => [6,2,3,5,4,1]
[6,5,1,3,2,4] => [6,2,4,3,5,1]
[6,5,1,3,4,2] => [6,2,4,5,3,1]
[6,5,1,4,2,3] => [6,2,5,3,4,1]
[6,5,1,4,3,2] => [6,2,5,4,3,1]
[6,5,2,1,3,4] => [6,3,2,4,5,1]
[6,5,2,1,4,3] => [6,3,2,5,4,1]
[6,5,2,3,1,4] => [6,3,4,2,5,1]
[6,5,2,3,4,1] => [6,3,4,5,2,1]
[6,5,2,4,1,3] => [6,3,5,2,4,1]
[6,5,2,4,3,1] => [6,3,5,4,2,1]
[6,5,3,1,2,4] => [6,4,2,3,5,1]
[6,5,3,1,4,2] => [6,4,2,5,3,1]
[6,5,3,2,1,4] => [6,4,3,2,5,1]
[6,5,3,2,4,1] => [6,4,3,5,2,1]
[6,5,3,4,1,2] => [6,4,5,2,3,1]
[6,5,3,4,2,1] => [6,4,5,3,2,1]
[6,5,4,1,2,3] => [6,5,2,3,4,1]
[6,5,4,1,3,2] => [6,5,2,4,3,1]
[6,5,4,2,1,3] => [6,5,3,2,4,1]
[6,5,4,2,3,1] => [6,5,3,4,2,1]
[6,5,4,3,1,2] => [6,5,4,2,3,1]
[6,5,4,3,2,1] => [6,5,4,3,2,1]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,2,3,4,5,7,6] => [2,3,4,5,6,1,7]
[1,2,3,4,6,5,7] => [1,2,3,4,5,7,6]
[1,2,3,4,6,7,5] => [2,3,4,5,7,1,6]
[1,2,3,4,7,5,6] => [2,3,4,5,1,6,7]
[1,2,3,4,7,6,5] => [2,3,4,5,1,7,6]
[1,2,3,5,4,6,7] => [1,2,3,4,6,5,7]
[1,2,3,5,4,7,6] => [2,3,4,6,5,1,7]
[1,2,3,5,6,4,7] => [1,2,3,4,6,7,5]
[1,2,3,5,6,7,4] => [2,3,4,6,7,1,5]
[1,2,3,5,7,4,6] => [2,3,4,6,1,5,7]
[1,2,3,5,7,6,4] => [2,3,4,6,1,7,5]
[1,2,3,6,4,5,7] => [1,2,3,4,7,5,6]
[1,2,3,6,4,7,5] => [2,3,4,7,5,1,6]
[1,2,3,6,5,4,7] => [1,2,3,4,7,6,5]
[1,2,3,6,5,7,4] => [2,3,4,7,6,1,5]
[1,2,3,6,7,4,5] => [2,3,4,7,1,5,6]
[1,2,3,6,7,5,4] => [2,3,4,7,1,6,5]
[1,2,3,7,4,5,6] => [2,3,4,1,5,6,7]
[1,2,3,7,4,6,5] => [2,3,4,1,5,7,6]
[1,2,3,7,5,4,6] => [2,3,4,1,6,5,7]
[1,2,3,7,5,6,4] => [2,3,4,1,6,7,5]
[1,2,3,7,6,4,5] => [2,3,4,1,7,5,6]
[1,2,3,7,6,5,4] => [2,3,4,1,7,6,5]
[1,2,4,3,5,6,7] => [1,2,3,5,4,6,7]
[1,2,4,3,5,7,6] => [2,3,5,4,6,1,7]
[1,2,4,3,6,5,7] => [1,2,3,5,4,7,6]
[1,2,4,3,6,7,5] => [2,3,5,4,7,1,6]
[1,2,4,3,7,5,6] => [2,3,5,4,1,6,7]
[1,2,4,3,7,6,5] => [2,3,5,4,1,7,6]
[1,2,4,5,3,6,7] => [1,2,3,5,6,4,7]
[1,2,4,5,3,7,6] => [2,3,5,6,4,1,7]
[1,2,4,5,6,3,7] => [1,2,3,5,6,7,4]
[1,2,4,5,6,7,3] => [2,3,5,6,7,1,4]
[1,2,4,5,7,3,6] => [2,3,5,6,1,4,7]
[1,2,4,5,7,6,3] => [2,3,5,6,1,7,4]
[1,2,4,6,3,5,7] => [1,2,3,5,7,4,6]
[1,2,4,6,3,7,5] => [2,3,5,7,4,1,6]
[1,2,4,6,5,3,7] => [1,2,3,5,7,6,4]
[1,2,4,6,5,7,3] => [2,3,5,7,6,1,4]
[1,2,4,6,7,3,5] => [2,3,5,7,1,4,6]
[1,2,4,6,7,5,3] => [2,3,5,7,1,6,4]
[1,2,4,7,3,5,6] => [2,3,5,1,4,6,7]
[1,2,4,7,3,6,5] => [2,3,5,1,4,7,6]
[1,2,4,7,5,3,6] => [2,3,5,1,6,4,7]
[1,2,4,7,5,6,3] => [2,3,5,1,6,7,4]
[1,2,4,7,6,3,5] => [2,3,5,1,7,4,6]
[1,2,4,7,6,5,3] => [2,3,5,1,7,6,4]
[1,2,5,3,4,6,7] => [1,2,3,6,4,5,7]
[1,2,5,3,4,7,6] => [2,3,6,4,5,1,7]
[1,2,5,3,6,4,7] => [1,2,3,6,4,7,5]
[1,2,5,3,6,7,4] => [2,3,6,4,7,1,5]
[1,2,5,3,7,4,6] => [2,3,6,4,1,5,7]
[1,2,5,3,7,6,4] => [2,3,6,4,1,7,5]
[1,2,5,4,3,6,7] => [1,2,3,6,5,4,7]
[1,2,5,4,3,7,6] => [2,3,6,5,4,1,7]
[1,2,5,4,6,3,7] => [1,2,3,6,5,7,4]
[1,2,5,4,6,7,3] => [2,3,6,5,7,1,4]
[1,2,5,4,7,3,6] => [2,3,6,5,1,4,7]
[1,2,5,4,7,6,3] => [2,3,6,5,1,7,4]
[1,2,5,6,3,4,7] => [1,2,3,6,7,4,5]
[1,2,5,6,3,7,4] => [2,3,6,7,4,1,5]
[1,2,5,6,4,3,7] => [1,2,3,6,7,5,4]
[1,2,5,6,4,7,3] => [2,3,6,7,5,1,4]
[1,2,5,6,7,3,4] => [2,3,6,7,1,4,5]
[1,2,5,6,7,4,3] => [2,3,6,7,1,5,4]
[1,2,5,7,3,4,6] => [2,3,6,1,4,5,7]
[1,2,5,7,3,6,4] => [2,3,6,1,4,7,5]
[1,2,5,7,4,3,6] => [2,3,6,1,5,4,7]
[1,2,5,7,4,6,3] => [2,3,6,1,5,7,4]
[1,2,5,7,6,3,4] => [2,3,6,1,7,4,5]
[1,2,5,7,6,4,3] => [2,3,6,1,7,5,4]
[1,2,6,3,4,5,7] => [1,2,3,7,4,5,6]
[1,2,6,3,4,7,5] => [2,3,7,4,5,1,6]
[1,2,6,3,5,4,7] => [1,2,3,7,4,6,5]
[1,2,6,3,5,7,4] => [2,3,7,4,6,1,5]
[1,2,6,3,7,4,5] => [2,3,7,4,1,5,6]
[1,2,6,3,7,5,4] => [2,3,7,4,1,6,5]
[1,2,6,4,3,5,7] => [1,2,3,7,5,4,6]
[1,2,6,4,3,7,5] => [2,3,7,5,4,1,6]
[1,2,6,4,5,3,7] => [1,2,3,7,5,6,4]
[1,2,6,4,5,7,3] => [2,3,7,5,6,1,4]
[1,2,6,4,7,3,5] => [2,3,7,5,1,4,6]
[1,2,6,4,7,5,3] => [2,3,7,5,1,6,4]
[1,2,6,5,3,4,7] => [1,2,3,7,6,4,5]
[1,2,6,5,3,7,4] => [2,3,7,6,4,1,5]
[1,2,6,5,4,3,7] => [1,2,3,7,6,5,4]
[1,2,6,5,4,7,3] => [2,3,7,6,5,1,4]
[1,2,6,5,7,3,4] => [2,3,7,6,1,4,5]
[1,2,6,5,7,4,3] => [2,3,7,6,1,5,4]
[1,2,6,7,3,4,5] => [2,3,7,1,4,5,6]
[1,2,6,7,3,5,4] => [2,3,7,1,4,6,5]
[1,2,6,7,4,3,5] => [2,3,7,1,5,4,6]
[1,2,6,7,4,5,3] => [2,3,7,1,5,6,4]
[1,2,6,7,5,3,4] => [2,3,7,1,6,4,5]
[1,2,6,7,5,4,3] => [2,3,7,1,6,5,4]
[1,2,7,3,4,5,6] => [2,3,1,4,5,6,7]
[1,2,7,3,4,6,5] => [2,3,1,4,5,7,6]
[1,2,7,3,5,4,6] => [2,3,1,4,6,5,7]
[1,2,7,3,5,6,4] => [2,3,1,4,6,7,5]
[1,2,7,3,6,4,5] => [2,3,1,4,7,5,6]
[1,2,7,3,6,5,4] => [2,3,1,4,7,6,5]
[1,2,7,4,3,5,6] => [2,3,1,5,4,6,7]
[1,2,7,4,3,6,5] => [2,3,1,5,4,7,6]
[1,2,7,4,5,3,6] => [2,3,1,5,6,4,7]
[1,2,7,4,5,6,3] => [2,3,1,5,6,7,4]
[1,2,7,4,6,3,5] => [2,3,1,5,7,4,6]
[1,2,7,4,6,5,3] => [2,3,1,5,7,6,4]
[1,2,7,5,3,4,6] => [2,3,1,6,4,5,7]
[1,2,7,5,3,6,4] => [2,3,1,6,4,7,5]
[1,2,7,5,4,3,6] => [2,3,1,6,5,4,7]
[1,2,7,5,4,6,3] => [2,3,1,6,5,7,4]
[1,2,7,5,6,3,4] => [2,3,1,6,7,4,5]
[1,2,7,5,6,4,3] => [2,3,1,6,7,5,4]
[1,2,7,6,3,4,5] => [2,3,1,7,4,5,6]
[1,2,7,6,3,5,4] => [2,3,1,7,4,6,5]
[1,2,7,6,4,3,5] => [2,3,1,7,5,4,6]
[1,2,7,6,4,5,3] => [2,3,1,7,5,6,4]
[1,2,7,6,5,3,4] => [2,3,1,7,6,4,5]
[1,2,7,6,5,4,3] => [2,3,1,7,6,5,4]
[1,3,2,4,5,6,7] => [1,2,4,3,5,6,7]
[1,3,2,4,5,7,6] => [2,4,3,5,6,1,7]
[1,3,2,4,6,5,7] => [1,2,4,3,5,7,6]
[1,3,2,4,6,7,5] => [2,4,3,5,7,1,6]
[1,3,2,4,7,5,6] => [2,4,3,5,1,6,7]
[1,3,2,4,7,6,5] => [2,4,3,5,1,7,6]
[1,3,2,5,4,6,7] => [1,2,4,3,6,5,7]
[1,3,2,5,4,7,6] => [2,4,3,6,5,1,7]
[1,3,2,5,6,4,7] => [1,2,4,3,6,7,5]
[1,3,2,5,6,7,4] => [2,4,3,6,7,1,5]
[1,3,2,5,7,4,6] => [2,4,3,6,1,5,7]
[1,3,2,5,7,6,4] => [2,4,3,6,1,7,5]
[1,3,2,6,4,5,7] => [1,2,4,3,7,5,6]
[1,3,2,6,4,7,5] => [2,4,3,7,5,1,6]
[1,3,2,6,5,4,7] => [1,2,4,3,7,6,5]
[1,3,2,6,5,7,4] => [2,4,3,7,6,1,5]
[1,3,2,6,7,4,5] => [2,4,3,7,1,5,6]
[1,3,2,6,7,5,4] => [2,4,3,7,1,6,5]
[1,3,2,7,4,5,6] => [2,4,3,1,5,6,7]
[1,3,2,7,4,6,5] => [2,4,3,1,5,7,6]
[1,3,2,7,5,4,6] => [2,4,3,1,6,5,7]
[1,3,2,7,5,6,4] => [2,4,3,1,6,7,5]
[1,3,2,7,6,4,5] => [2,4,3,1,7,5,6]
[1,3,2,7,6,5,4] => [2,4,3,1,7,6,5]
[1,3,4,2,5,6,7] => [1,2,4,5,3,6,7]
[1,3,4,2,5,7,6] => [2,4,5,3,6,1,7]
[1,3,4,2,6,5,7] => [1,2,4,5,3,7,6]
[1,3,4,2,6,7,5] => [2,4,5,3,7,1,6]
[1,3,4,2,7,5,6] => [2,4,5,3,1,6,7]
[1,3,4,2,7,6,5] => [2,4,5,3,1,7,6]
[1,3,4,5,2,6,7] => [1,2,4,5,6,3,7]
[1,3,4,5,2,7,6] => [2,4,5,6,3,1,7]
[1,3,4,5,6,2,7] => [1,2,4,5,6,7,3]
[1,3,4,5,6,7,2] => [2,4,5,6,7,1,3]
[1,3,4,5,7,2,6] => [2,4,5,6,1,3,7]
[1,3,4,5,7,6,2] => [2,4,5,6,1,7,3]
[1,3,4,6,2,5,7] => [1,2,4,5,7,3,6]
[1,3,4,6,2,7,5] => [2,4,5,7,3,1,6]
[1,3,4,6,5,2,7] => [1,2,4,5,7,6,3]
[1,3,4,6,5,7,2] => [2,4,5,7,6,1,3]
[1,3,4,6,7,2,5] => [2,4,5,7,1,3,6]
[1,3,4,6,7,5,2] => [2,4,5,7,1,6,3]
[1,3,4,7,2,5,6] => [2,4,5,1,3,6,7]
[1,3,4,7,2,6,5] => [2,4,5,1,3,7,6]
[1,3,4,7,5,2,6] => [2,4,5,1,6,3,7]
[1,3,4,7,5,6,2] => [2,4,5,1,6,7,3]
[1,3,4,7,6,2,5] => [2,4,5,1,7,3,6]
[1,3,4,7,6,5,2] => [2,4,5,1,7,6,3]
[1,3,5,2,4,6,7] => [1,2,4,6,3,5,7]
[1,3,5,2,4,7,6] => [2,4,6,3,5,1,7]
[1,3,5,2,6,4,7] => [1,2,4,6,3,7,5]
[1,3,5,2,6,7,4] => [2,4,6,3,7,1,5]
[1,3,5,2,7,4,6] => [2,4,6,3,1,5,7]
[1,3,5,2,7,6,4] => [2,4,6,3,1,7,5]
[1,3,5,4,2,6,7] => [1,2,4,6,5,3,7]
[1,3,5,4,2,7,6] => [2,4,6,5,3,1,7]
[1,3,5,4,6,2,7] => [1,2,4,6,5,7,3]
[1,3,5,4,6,7,2] => [2,4,6,5,7,1,3]
[1,3,5,4,7,2,6] => [2,4,6,5,1,3,7]
[1,3,5,4,7,6,2] => [2,4,6,5,1,7,3]
[1,3,5,6,2,4,7] => [1,2,4,6,7,3,5]
[1,3,5,6,2,7,4] => [2,4,6,7,3,1,5]
[1,3,5,6,4,2,7] => [1,2,4,6,7,5,3]
[1,3,5,6,4,7,2] => [2,4,6,7,5,1,3]
[1,3,5,6,7,2,4] => [2,4,6,7,1,3,5]
[1,3,5,6,7,4,2] => [2,4,6,7,1,5,3]
[1,3,5,7,2,4,6] => [2,4,6,1,3,5,7]
[1,3,5,7,2,6,4] => [2,4,6,1,3,7,5]
[1,3,5,7,4,2,6] => [2,4,6,1,5,3,7]
[1,3,5,7,4,6,2] => [2,4,6,1,5,7,3]
[1,3,5,7,6,2,4] => [2,4,6,1,7,3,5]
[1,3,5,7,6,4,2] => [2,4,6,1,7,5,3]
[1,3,6,2,4,5,7] => [1,2,4,7,3,5,6]
[1,3,6,2,4,7,5] => [2,4,7,3,5,1,6]
[1,3,6,2,5,4,7] => [1,2,4,7,3,6,5]
[1,3,6,2,5,7,4] => [2,4,7,3,6,1,5]
[1,3,6,2,7,4,5] => [2,4,7,3,1,5,6]
[1,3,6,2,7,5,4] => [2,4,7,3,1,6,5]
[1,3,6,4,2,5,7] => [1,2,4,7,5,3,6]
[1,3,6,4,2,7,5] => [2,4,7,5,3,1,6]
[1,3,6,4,5,2,7] => [1,2,4,7,5,6,3]
[1,3,6,4,5,7,2] => [2,4,7,5,6,1,3]
[1,3,6,4,7,2,5] => [2,4,7,5,1,3,6]
[1,3,6,4,7,5,2] => [2,4,7,5,1,6,3]
[1,3,6,5,2,4,7] => [1,2,4,7,6,3,5]
[1,3,6,5,2,7,4] => [2,4,7,6,3,1,5]
[1,3,6,5,4,2,7] => [1,2,4,7,6,5,3]
[1,3,6,5,4,7,2] => [2,4,7,6,5,1,3]
[1,3,6,5,7,2,4] => [2,4,7,6,1,3,5]
[1,3,6,5,7,4,2] => [2,4,7,6,1,5,3]
[1,3,6,7,2,4,5] => [2,4,7,1,3,5,6]
[1,3,6,7,2,5,4] => [2,4,7,1,3,6,5]
[1,3,6,7,4,2,5] => [2,4,7,1,5,3,6]
[1,3,6,7,4,5,2] => [2,4,7,1,5,6,3]
[1,3,6,7,5,2,4] => [2,4,7,1,6,3,5]
[1,3,6,7,5,4,2] => [2,4,7,1,6,5,3]
[1,3,7,2,4,5,6] => [2,4,1,3,5,6,7]
[1,3,7,2,4,6,5] => [2,4,1,3,5,7,6]
[1,3,7,2,5,4,6] => [2,4,1,3,6,5,7]
[1,3,7,2,5,6,4] => [2,4,1,3,6,7,5]
[1,3,7,2,6,4,5] => [2,4,1,3,7,5,6]
[1,3,7,2,6,5,4] => [2,4,1,3,7,6,5]
[1,3,7,4,2,5,6] => [2,4,1,5,3,6,7]
[1,3,7,4,2,6,5] => [2,4,1,5,3,7,6]
[1,3,7,4,5,2,6] => [2,4,1,5,6,3,7]
[1,3,7,4,5,6,2] => [2,4,1,5,6,7,3]
[1,3,7,4,6,2,5] => [2,4,1,5,7,3,6]
[1,3,7,4,6,5,2] => [2,4,1,5,7,6,3]
[1,3,7,5,2,4,6] => [2,4,1,6,3,5,7]
[1,3,7,5,2,6,4] => [2,4,1,6,3,7,5]
[1,3,7,5,4,2,6] => [2,4,1,6,5,3,7]
[1,3,7,5,4,6,2] => [2,4,1,6,5,7,3]
[1,3,7,5,6,2,4] => [2,4,1,6,7,3,5]
[1,3,7,5,6,4,2] => [2,4,1,6,7,5,3]
[1,3,7,6,2,4,5] => [2,4,1,7,3,5,6]
[1,3,7,6,2,5,4] => [2,4,1,7,3,6,5]
[1,3,7,6,4,2,5] => [2,4,1,7,5,3,6]
[1,3,7,6,4,5,2] => [2,4,1,7,5,6,3]
[1,3,7,6,5,2,4] => [2,4,1,7,6,3,5]
[1,3,7,6,5,4,2] => [2,4,1,7,6,5,3]
[1,4,2,3,5,6,7] => [1,2,5,3,4,6,7]
[1,4,2,3,5,7,6] => [2,5,3,4,6,1,7]
[1,4,2,3,6,5,7] => [1,2,5,3,4,7,6]
[1,4,2,3,6,7,5] => [2,5,3,4,7,1,6]
[1,4,2,3,7,5,6] => [2,5,3,4,1,6,7]
[1,4,2,3,7,6,5] => [2,5,3,4,1,7,6]
[1,4,2,5,3,6,7] => [1,2,5,3,6,4,7]
[1,4,2,5,3,7,6] => [2,5,3,6,4,1,7]
[1,4,2,5,6,3,7] => [1,2,5,3,6,7,4]
[1,4,2,5,6,7,3] => [2,5,3,6,7,1,4]
[1,4,2,5,7,3,6] => [2,5,3,6,1,4,7]
[1,4,2,5,7,6,3] => [2,5,3,6,1,7,4]
[1,4,2,6,3,5,7] => [1,2,5,3,7,4,6]
[1,4,2,6,3,7,5] => [2,5,3,7,4,1,6]
[1,4,2,6,5,3,7] => [1,2,5,3,7,6,4]
[1,4,2,6,5,7,3] => [2,5,3,7,6,1,4]
[1,4,2,6,7,3,5] => [2,5,3,7,1,4,6]
[1,4,2,6,7,5,3] => [2,5,3,7,1,6,4]
[1,4,2,7,3,5,6] => [2,5,3,1,4,6,7]
[1,4,2,7,3,6,5] => [2,5,3,1,4,7,6]
[1,4,2,7,5,3,6] => [2,5,3,1,6,4,7]
[1,4,2,7,5,6,3] => [2,5,3,1,6,7,4]
[1,4,2,7,6,3,5] => [2,5,3,1,7,4,6]
[1,4,2,7,6,5,3] => [2,5,3,1,7,6,4]
[1,4,3,2,5,6,7] => [1,2,5,4,3,6,7]
[1,4,3,2,5,7,6] => [2,5,4,3,6,1,7]
[1,4,3,2,6,5,7] => [1,2,5,4,3,7,6]
[1,4,3,2,6,7,5] => [2,5,4,3,7,1,6]
[1,4,3,2,7,5,6] => [2,5,4,3,1,6,7]
[1,4,3,2,7,6,5] => [2,5,4,3,1,7,6]
[1,4,3,5,2,6,7] => [1,2,5,4,6,3,7]
[1,4,3,5,2,7,6] => [2,5,4,6,3,1,7]
[1,4,3,5,6,2,7] => [1,2,5,4,6,7,3]
[1,4,3,5,6,7,2] => [2,5,4,6,7,1,3]
[1,4,3,5,7,2,6] => [2,5,4,6,1,3,7]
[1,4,3,5,7,6,2] => [2,5,4,6,1,7,3]
[1,4,3,6,2,5,7] => [1,2,5,4,7,3,6]
[1,4,3,6,2,7,5] => [2,5,4,7,3,1,6]
[1,4,3,6,5,2,7] => [1,2,5,4,7,6,3]
[1,4,3,6,5,7,2] => [2,5,4,7,6,1,3]
[1,4,3,6,7,2,5] => [2,5,4,7,1,3,6]
[1,4,3,6,7,5,2] => [2,5,4,7,1,6,3]
[1,4,3,7,2,5,6] => [2,5,4,1,3,6,7]
[1,4,3,7,2,6,5] => [2,5,4,1,3,7,6]
[1,4,3,7,5,2,6] => [2,5,4,1,6,3,7]
[1,4,3,7,5,6,2] => [2,5,4,1,6,7,3]
[1,4,3,7,6,2,5] => [2,5,4,1,7,3,6]
[1,4,3,7,6,5,2] => [2,5,4,1,7,6,3]
[1,4,5,2,3,6,7] => [1,2,5,6,3,4,7]
[1,4,5,2,3,7,6] => [2,5,6,3,4,1,7]
[1,4,5,2,6,3,7] => [1,2,5,6,3,7,4]
[1,4,5,2,6,7,3] => [2,5,6,3,7,1,4]
[1,4,5,2,7,3,6] => [2,5,6,3,1,4,7]
[1,4,5,2,7,6,3] => [2,5,6,3,1,7,4]
[1,4,5,3,2,6,7] => [1,2,5,6,4,3,7]
[1,4,5,3,2,7,6] => [2,5,6,4,3,1,7]
[1,4,5,3,6,2,7] => [1,2,5,6,4,7,3]
[1,4,5,3,6,7,2] => [2,5,6,4,7,1,3]
[1,4,5,3,7,2,6] => [2,5,6,4,1,3,7]
[1,4,5,3,7,6,2] => [2,5,6,4,1,7,3]
[1,4,5,6,2,3,7] => [1,2,5,6,7,3,4]
[1,4,5,6,2,7,3] => [2,5,6,7,3,1,4]
[1,4,5,6,3,2,7] => [1,2,5,6,7,4,3]
[1,4,5,6,3,7,2] => [2,5,6,7,4,1,3]
[1,4,5,6,7,2,3] => [2,5,6,7,1,3,4]
[1,4,5,6,7,3,2] => [2,5,6,7,1,4,3]
[1,4,5,7,2,3,6] => [2,5,6,1,3,4,7]
[1,4,5,7,2,6,3] => [2,5,6,1,3,7,4]
[1,4,5,7,3,2,6] => [2,5,6,1,4,3,7]
[1,4,5,7,3,6,2] => [2,5,6,1,4,7,3]
[1,4,5,7,6,2,3] => [2,5,6,1,7,3,4]
[1,4,5,7,6,3,2] => [2,5,6,1,7,4,3]
[1,4,6,2,3,5,7] => [1,2,5,7,3,4,6]
[1,4,6,2,3,7,5] => [2,5,7,3,4,1,6]
[1,4,6,2,5,3,7] => [1,2,5,7,3,6,4]
[1,4,6,2,5,7,3] => [2,5,7,3,6,1,4]
[1,4,6,2,7,3,5] => [2,5,7,3,1,4,6]
[1,4,6,2,7,5,3] => [2,5,7,3,1,6,4]
[1,4,6,3,2,5,7] => [1,2,5,7,4,3,6]
[1,4,6,3,2,7,5] => [2,5,7,4,3,1,6]
[1,4,6,3,5,2,7] => [1,2,5,7,4,6,3]
[1,4,6,3,5,7,2] => [2,5,7,4,6,1,3]
[1,4,6,3,7,2,5] => [2,5,7,4,1,3,6]
[1,4,6,3,7,5,2] => [2,5,7,4,1,6,3]
[1,4,6,5,2,3,7] => [1,2,5,7,6,3,4]
[1,4,6,5,2,7,3] => [2,5,7,6,3,1,4]
[1,4,6,5,3,2,7] => [1,2,5,7,6,4,3]
-----------------------------------------------------------------------------
Created: Mar 02, 2025 at 01:16 by Nathan R. Krause
-----------------------------------------------------------------------------
Last Updated: Mar 06, 2025 at 20:00 by Nathan R. Krause