************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
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* 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: Mp00257
------------------------------------------------------------------------
Map name: Alexandersson Kebede
------------------------------------------------------------------------
Domain: Permutations
------------------------------------------------------------------------
Codomain: Permutations
------------------------------------------------------------------------
Description: Sends a permutation to a permutation and it preserves the set of right-to-left minima.
Take a permutation $\pi$ of length $n$. The mapping looks for a smallest odd integer $i\in[n-1]$ such that swapping the entries $\pi(i)$ and $\pi(i+1)$ preserves the set of right-to-left minima. Otherwise, $\pi$ will be a fixed element of the mapping. Note that the map changes the sign of all non-fixed elements.
There are exactly $\binom{\lfloor n/2 \rfloor}{k-\lceil n/2 \rceil}$ elements in $S_n$ fixed under this map, with exactly $k$ right-to-left minima, see Lemma 35 in [1].
------------------------------------------------------------------------
References: [1] Alexandersson, P., Getachew Kebede, F. An involution on derangements preserving excedances and right-to-left minima [[arXiv:2105.08455]]
------------------------------------------------------------------------
Code:
def rlmin(pi):
n = len(pi)
m = n+1
for i in range(n):
if pi[n-1-i] < m:
yield pi[n-1-i]
m = pi[n-1-i]
def mapping(pi):
"""
sage: all(mapping(mapping(pi)) == pi for pi in Permutations(6))
True
sage: len([pi for pi in Permutations(7) if mapping(pi) == pi])
8
"""
s = list(rlmin(pi))
for i in range(0, len(pi)-1, 2):
sigma = pi[:]
sigma[i] = pi[i+1]
sigma[i+1] = pi[i]
if s == list(rlmin(sigma)):
return Permutation(sigma)
return pi
------------------------------------------------------------------------
Map images:
[1] => [1]
[1,2] => [1,2]
[2,1] => [2,1]
[1,2,3] => [1,2,3]
[1,3,2] => [3,1,2]
[2,1,3] => [2,1,3]
[2,3,1] => [3,2,1]
[3,1,2] => [1,3,2]
[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] => [3,1,2,4]
[1,3,4,2] => [3,1,4,2]
[1,4,2,3] => [4,1,2,3]
[1,4,3,2] => [4,1,3,2]
[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] => [3,2,4,1]
[2,4,1,3] => [4,2,1,3]
[2,4,3,1] => [4,2,3,1]
[3,1,2,4] => [1,3,2,4]
[3,1,4,2] => [1,3,4,2]
[3,2,1,4] => [2,3,1,4]
[3,2,4,1] => [2,3,4,1]
[3,4,1,2] => [4,3,1,2]
[3,4,2,1] => [4,3,2,1]
[4,1,2,3] => [1,4,2,3]
[4,1,3,2] => [1,4,3,2]
[4,2,1,3] => [2,4,1,3]
[4,2,3,1] => [2,4,3,1]
[4,3,1,2] => [3,4,1,2]
[4,3,2,1] => [3,4,2,1]
[1,2,3,4,5] => [1,2,3,4,5]
[1,2,3,5,4] => [1,2,5,3,4]
[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] => [1,2,3,5,4]
[1,2,5,4,3] => [1,2,4,5,3]
[1,3,2,4,5] => [3,1,2,4,5]
[1,3,2,5,4] => [3,1,2,5,4]
[1,3,4,2,5] => [3,1,4,2,5]
[1,3,4,5,2] => [3,1,4,5,2]
[1,3,5,2,4] => [3,1,5,2,4]
[1,3,5,4,2] => [3,1,5,4,2]
[1,4,2,3,5] => [4,1,2,3,5]
[1,4,2,5,3] => [4,1,2,5,3]
[1,4,3,2,5] => [4,1,3,2,5]
[1,4,3,5,2] => [4,1,3,5,2]
[1,4,5,2,3] => [4,1,5,2,3]
[1,4,5,3,2] => [4,1,5,3,2]
[1,5,2,3,4] => [5,1,2,3,4]
[1,5,2,4,3] => [5,1,2,4,3]
[1,5,3,2,4] => [5,1,3,2,4]
[1,5,3,4,2] => [5,1,3,4,2]
[1,5,4,2,3] => [5,1,4,2,3]
[1,5,4,3,2] => [5,1,4,3,2]
[2,1,3,4,5] => [2,1,3,4,5]
[2,1,3,5,4] => [2,1,5,3,4]
[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] => [2,1,3,5,4]
[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] => [3,2,4,1,5]
[2,3,4,5,1] => [3,2,4,5,1]
[2,3,5,1,4] => [3,2,5,1,4]
[2,3,5,4,1] => [3,2,5,4,1]
[2,4,1,3,5] => [4,2,1,3,5]
[2,4,1,5,3] => [4,2,1,5,3]
[2,4,3,1,5] => [4,2,3,1,5]
[2,4,3,5,1] => [4,2,3,5,1]
[2,4,5,1,3] => [4,2,5,1,3]
[2,4,5,3,1] => [4,2,5,3,1]
[2,5,1,3,4] => [5,2,1,3,4]
[2,5,1,4,3] => [5,2,1,4,3]
[2,5,3,1,4] => [5,2,3,1,4]
[2,5,3,4,1] => [5,2,3,4,1]
[2,5,4,1,3] => [5,2,4,1,3]
[2,5,4,3,1] => [5,2,4,3,1]
[3,1,2,4,5] => [1,3,2,4,5]
[3,1,2,5,4] => [1,3,2,5,4]
[3,1,4,2,5] => [1,3,4,2,5]
[3,1,4,5,2] => [1,3,4,5,2]
[3,1,5,2,4] => [1,3,5,2,4]
[3,1,5,4,2] => [1,3,5,4,2]
[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] => [2,3,4,1,5]
[3,2,4,5,1] => [2,3,4,5,1]
[3,2,5,1,4] => [2,3,5,1,4]
[3,2,5,4,1] => [2,3,5,4,1]
[3,4,1,2,5] => [4,3,1,2,5]
[3,4,1,5,2] => [4,3,1,5,2]
[3,4,2,1,5] => [4,3,2,1,5]
[3,4,2,5,1] => [4,3,2,5,1]
[3,4,5,1,2] => [4,3,5,1,2]
[3,4,5,2,1] => [4,3,5,2,1]
[3,5,1,2,4] => [5,3,1,2,4]
[3,5,1,4,2] => [5,3,1,4,2]
[3,5,2,1,4] => [5,3,2,1,4]
[3,5,2,4,1] => [5,3,2,4,1]
[3,5,4,1,2] => [5,3,4,1,2]
[3,5,4,2,1] => [5,3,4,2,1]
[4,1,2,3,5] => [1,4,2,3,5]
[4,1,2,5,3] => [1,4,2,5,3]
[4,1,3,2,5] => [1,4,3,2,5]
[4,1,3,5,2] => [1,4,3,5,2]
[4,1,5,2,3] => [1,4,5,2,3]
[4,1,5,3,2] => [1,4,5,3,2]
[4,2,1,3,5] => [2,4,1,3,5]
[4,2,1,5,3] => [2,4,1,5,3]
[4,2,3,1,5] => [2,4,3,1,5]
[4,2,3,5,1] => [2,4,3,5,1]
[4,2,5,1,3] => [2,4,5,1,3]
[4,2,5,3,1] => [2,4,5,3,1]
[4,3,1,2,5] => [3,4,1,2,5]
[4,3,1,5,2] => [3,4,1,5,2]
[4,3,2,1,5] => [3,4,2,1,5]
[4,3,2,5,1] => [3,4,2,5,1]
[4,3,5,1,2] => [3,4,5,1,2]
[4,3,5,2,1] => [3,4,5,2,1]
[4,5,1,2,3] => [5,4,1,2,3]
[4,5,1,3,2] => [5,4,1,3,2]
[4,5,2,1,3] => [5,4,2,1,3]
[4,5,2,3,1] => [5,4,2,3,1]
[4,5,3,1,2] => [5,4,3,1,2]
[4,5,3,2,1] => [5,4,3,2,1]
[5,1,2,3,4] => [1,5,2,3,4]
[5,1,2,4,3] => [1,5,2,4,3]
[5,1,3,2,4] => [1,5,3,2,4]
[5,1,3,4,2] => [1,5,3,4,2]
[5,1,4,2,3] => [1,5,4,2,3]
[5,1,4,3,2] => [1,5,4,3,2]
[5,2,1,3,4] => [2,5,1,3,4]
[5,2,1,4,3] => [2,5,1,4,3]
[5,2,3,1,4] => [2,5,3,1,4]
[5,2,3,4,1] => [2,5,3,4,1]
[5,2,4,1,3] => [2,5,4,1,3]
[5,2,4,3,1] => [2,5,4,3,1]
[5,3,1,2,4] => [3,5,1,2,4]
[5,3,1,4,2] => [3,5,1,4,2]
[5,3,2,1,4] => [3,5,2,1,4]
[5,3,2,4,1] => [3,5,2,4,1]
[5,3,4,1,2] => [3,5,4,1,2]
[5,3,4,2,1] => [3,5,4,2,1]
[5,4,1,2,3] => [4,5,1,2,3]
[5,4,1,3,2] => [4,5,1,3,2]
[5,4,2,1,3] => [4,5,2,1,3]
[5,4,2,3,1] => [4,5,2,3,1]
[5,4,3,1,2] => [4,5,3,1,2]
[5,4,3,2,1] => [4,5,3,2,1]
[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] => [1,2,5,3,4,6]
[1,2,3,5,6,4] => [1,2,5,3,6,4]
[1,2,3,6,4,5] => [1,2,6,3,4,5]
[1,2,3,6,5,4] => [1,2,6,3,5,4]
[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] => [1,2,5,4,6,3]
[1,2,4,6,3,5] => [1,2,6,4,3,5]
[1,2,4,6,5,3] => [1,2,6,4,5,3]
[1,2,5,3,4,6] => [1,2,3,5,4,6]
[1,2,5,3,6,4] => [1,2,3,5,6,4]
[1,2,5,4,3,6] => [1,2,4,5,3,6]
[1,2,5,4,6,3] => [1,2,4,5,6,3]
[1,2,5,6,3,4] => [1,2,6,5,3,4]
[1,2,5,6,4,3] => [1,2,6,5,4,3]
[1,2,6,3,4,5] => [1,2,3,6,4,5]
[1,2,6,3,5,4] => [1,2,3,6,5,4]
[1,2,6,4,3,5] => [1,2,4,6,3,5]
[1,2,6,4,5,3] => [1,2,4,6,5,3]
[1,2,6,5,3,4] => [1,2,5,6,3,4]
[1,2,6,5,4,3] => [1,2,5,6,4,3]
[1,3,2,4,5,6] => [3,1,2,4,5,6]
[1,3,2,4,6,5] => [3,1,2,4,6,5]
[1,3,2,5,4,6] => [3,1,2,5,4,6]
[1,3,2,5,6,4] => [3,1,2,5,6,4]
[1,3,2,6,4,5] => [3,1,2,6,4,5]
[1,3,2,6,5,4] => [3,1,2,6,5,4]
[1,3,4,2,5,6] => [3,1,4,2,5,6]
[1,3,4,2,6,5] => [3,1,4,2,6,5]
[1,3,4,5,2,6] => [3,1,4,5,2,6]
[1,3,4,5,6,2] => [3,1,4,5,6,2]
[1,3,4,6,2,5] => [3,1,4,6,2,5]
[1,3,4,6,5,2] => [3,1,4,6,5,2]
[1,3,5,2,4,6] => [3,1,5,2,4,6]
[1,3,5,2,6,4] => [3,1,5,2,6,4]
[1,3,5,4,2,6] => [3,1,5,4,2,6]
[1,3,5,4,6,2] => [3,1,5,4,6,2]
[1,3,5,6,2,4] => [3,1,5,6,2,4]
[1,3,5,6,4,2] => [3,1,5,6,4,2]
[1,3,6,2,4,5] => [3,1,6,2,4,5]
[1,3,6,2,5,4] => [3,1,6,2,5,4]
[1,3,6,4,2,5] => [3,1,6,4,2,5]
[1,3,6,4,5,2] => [3,1,6,4,5,2]
[1,3,6,5,2,4] => [3,1,6,5,2,4]
[1,3,6,5,4,2] => [3,1,6,5,4,2]
[1,4,2,3,5,6] => [4,1,2,3,5,6]
[1,4,2,3,6,5] => [4,1,2,3,6,5]
[1,4,2,5,3,6] => [4,1,2,5,3,6]
[1,4,2,5,6,3] => [4,1,2,5,6,3]
[1,4,2,6,3,5] => [4,1,2,6,3,5]
[1,4,2,6,5,3] => [4,1,2,6,5,3]
[1,4,3,2,5,6] => [4,1,3,2,5,6]
[1,4,3,2,6,5] => [4,1,3,2,6,5]
[1,4,3,5,2,6] => [4,1,3,5,2,6]
[1,4,3,5,6,2] => [4,1,3,5,6,2]
[1,4,3,6,2,5] => [4,1,3,6,2,5]
[1,4,3,6,5,2] => [4,1,3,6,5,2]
[1,4,5,2,3,6] => [4,1,5,2,3,6]
[1,4,5,2,6,3] => [4,1,5,2,6,3]
[1,4,5,3,2,6] => [4,1,5,3,2,6]
[1,4,5,3,6,2] => [4,1,5,3,6,2]
[1,4,5,6,2,3] => [4,1,5,6,2,3]
[1,4,5,6,3,2] => [4,1,5,6,3,2]
[1,4,6,2,3,5] => [4,1,6,2,3,5]
[1,4,6,2,5,3] => [4,1,6,2,5,3]
[1,4,6,3,2,5] => [4,1,6,3,2,5]
[1,4,6,3,5,2] => [4,1,6,3,5,2]
[1,4,6,5,2,3] => [4,1,6,5,2,3]
[1,4,6,5,3,2] => [4,1,6,5,3,2]
[1,5,2,3,4,6] => [5,1,2,3,4,6]
[1,5,2,3,6,4] => [5,1,2,3,6,4]
[1,5,2,4,3,6] => [5,1,2,4,3,6]
[1,5,2,4,6,3] => [5,1,2,4,6,3]
[1,5,2,6,3,4] => [5,1,2,6,3,4]
[1,5,2,6,4,3] => [5,1,2,6,4,3]
[1,5,3,2,4,6] => [5,1,3,2,4,6]
[1,5,3,2,6,4] => [5,1,3,2,6,4]
[1,5,3,4,2,6] => [5,1,3,4,2,6]
[1,5,3,4,6,2] => [5,1,3,4,6,2]
[1,5,3,6,2,4] => [5,1,3,6,2,4]
[1,5,3,6,4,2] => [5,1,3,6,4,2]
[1,5,4,2,3,6] => [5,1,4,2,3,6]
[1,5,4,2,6,3] => [5,1,4,2,6,3]
[1,5,4,3,2,6] => [5,1,4,3,2,6]
[1,5,4,3,6,2] => [5,1,4,3,6,2]
[1,5,4,6,2,3] => [5,1,4,6,2,3]
[1,5,4,6,3,2] => [5,1,4,6,3,2]
[1,5,6,2,3,4] => [5,1,6,2,3,4]
[1,5,6,2,4,3] => [5,1,6,2,4,3]
[1,5,6,3,2,4] => [5,1,6,3,2,4]
[1,5,6,3,4,2] => [5,1,6,3,4,2]
[1,5,6,4,2,3] => [5,1,6,4,2,3]
[1,5,6,4,3,2] => [5,1,6,4,3,2]
[1,6,2,3,4,5] => [6,1,2,3,4,5]
[1,6,2,3,5,4] => [6,1,2,3,5,4]
[1,6,2,4,3,5] => [6,1,2,4,3,5]
[1,6,2,4,5,3] => [6,1,2,4,5,3]
[1,6,2,5,3,4] => [6,1,2,5,3,4]
[1,6,2,5,4,3] => [6,1,2,5,4,3]
[1,6,3,2,4,5] => [6,1,3,2,4,5]
[1,6,3,2,5,4] => [6,1,3,2,5,4]
[1,6,3,4,2,5] => [6,1,3,4,2,5]
[1,6,3,4,5,2] => [6,1,3,4,5,2]
[1,6,3,5,2,4] => [6,1,3,5,2,4]
[1,6,3,5,4,2] => [6,1,3,5,4,2]
[1,6,4,2,3,5] => [6,1,4,2,3,5]
[1,6,4,2,5,3] => [6,1,4,2,5,3]
[1,6,4,3,2,5] => [6,1,4,3,2,5]
[1,6,4,3,5,2] => [6,1,4,3,5,2]
[1,6,4,5,2,3] => [6,1,4,5,2,3]
[1,6,4,5,3,2] => [6,1,4,5,3,2]
[1,6,5,2,3,4] => [6,1,5,2,3,4]
[1,6,5,2,4,3] => [6,1,5,2,4,3]
[1,6,5,3,2,4] => [6,1,5,3,2,4]
[1,6,5,3,4,2] => [6,1,5,3,4,2]
[1,6,5,4,2,3] => [6,1,5,4,2,3]
[1,6,5,4,3,2] => [6,1,5,4,3,2]
[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] => [2,1,5,3,4,6]
[2,1,3,5,6,4] => [2,1,5,3,6,4]
[2,1,3,6,4,5] => [2,1,6,3,4,5]
[2,1,3,6,5,4] => [2,1,6,3,5,4]
[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] => [2,1,5,4,6,3]
[2,1,4,6,3,5] => [2,1,6,4,3,5]
[2,1,4,6,5,3] => [2,1,6,4,5,3]
[2,1,5,3,4,6] => [2,1,3,5,4,6]
[2,1,5,3,6,4] => [2,1,3,5,6,4]
[2,1,5,4,3,6] => [2,1,4,5,3,6]
[2,1,5,4,6,3] => [2,1,4,5,6,3]
[2,1,5,6,3,4] => [2,1,6,5,3,4]
[2,1,5,6,4,3] => [2,1,6,5,4,3]
[2,1,6,3,4,5] => [2,1,3,6,4,5]
[2,1,6,3,5,4] => [2,1,3,6,5,4]
[2,1,6,4,3,5] => [2,1,4,6,3,5]
[2,1,6,4,5,3] => [2,1,4,6,5,3]
[2,1,6,5,3,4] => [2,1,5,6,3,4]
[2,1,6,5,4,3] => [2,1,5,6,4,3]
[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] => [3,2,1,5,6,4]
[2,3,1,6,4,5] => [3,2,1,6,4,5]
[2,3,1,6,5,4] => [3,2,1,6,5,4]
[2,3,4,1,5,6] => [3,2,4,1,5,6]
[2,3,4,1,6,5] => [3,2,4,1,6,5]
[2,3,4,5,1,6] => [3,2,4,5,1,6]
[2,3,4,5,6,1] => [3,2,4,5,6,1]
[2,3,4,6,1,5] => [3,2,4,6,1,5]
[2,3,4,6,5,1] => [3,2,4,6,5,1]
[2,3,5,1,4,6] => [3,2,5,1,4,6]
[2,3,5,1,6,4] => [3,2,5,1,6,4]
[2,3,5,4,1,6] => [3,2,5,4,1,6]
[2,3,5,4,6,1] => [3,2,5,4,6,1]
[2,3,5,6,1,4] => [3,2,5,6,1,4]
[2,3,5,6,4,1] => [3,2,5,6,4,1]
[2,3,6,1,4,5] => [3,2,6,1,4,5]
[2,3,6,1,5,4] => [3,2,6,1,5,4]
[2,3,6,4,1,5] => [3,2,6,4,1,5]
[2,3,6,4,5,1] => [3,2,6,4,5,1]
[2,3,6,5,1,4] => [3,2,6,5,1,4]
[2,3,6,5,4,1] => [3,2,6,5,4,1]
[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] => [4,2,1,5,3,6]
[2,4,1,5,6,3] => [4,2,1,5,6,3]
[2,4,1,6,3,5] => [4,2,1,6,3,5]
[2,4,1,6,5,3] => [4,2,1,6,5,3]
[2,4,3,1,5,6] => [4,2,3,1,5,6]
[2,4,3,1,6,5] => [4,2,3,1,6,5]
[2,4,3,5,1,6] => [4,2,3,5,1,6]
[2,4,3,5,6,1] => [4,2,3,5,6,1]
[2,4,3,6,1,5] => [4,2,3,6,1,5]
[2,4,3,6,5,1] => [4,2,3,6,5,1]
[2,4,5,1,3,6] => [4,2,5,1,3,6]
[2,4,5,1,6,3] => [4,2,5,1,6,3]
[2,4,5,3,1,6] => [4,2,5,3,1,6]
[2,4,5,3,6,1] => [4,2,5,3,6,1]
[2,4,5,6,1,3] => [4,2,5,6,1,3]
[2,4,5,6,3,1] => [4,2,5,6,3,1]
[2,4,6,1,3,5] => [4,2,6,1,3,5]
[2,4,6,1,5,3] => [4,2,6,1,5,3]
[2,4,6,3,1,5] => [4,2,6,3,1,5]
[2,4,6,3,5,1] => [4,2,6,3,5,1]
[2,4,6,5,1,3] => [4,2,6,5,1,3]
[2,4,6,5,3,1] => [4,2,6,5,3,1]
[2,5,1,3,4,6] => [5,2,1,3,4,6]
[2,5,1,3,6,4] => [5,2,1,3,6,4]
[2,5,1,4,3,6] => [5,2,1,4,3,6]
[2,5,1,4,6,3] => [5,2,1,4,6,3]
[2,5,1,6,3,4] => [5,2,1,6,3,4]
[2,5,1,6,4,3] => [5,2,1,6,4,3]
[2,5,3,1,4,6] => [5,2,3,1,4,6]
[2,5,3,1,6,4] => [5,2,3,1,6,4]
[2,5,3,4,1,6] => [5,2,3,4,1,6]
[2,5,3,4,6,1] => [5,2,3,4,6,1]
[2,5,3,6,1,4] => [5,2,3,6,1,4]
[2,5,3,6,4,1] => [5,2,3,6,4,1]
[2,5,4,1,3,6] => [5,2,4,1,3,6]
[2,5,4,1,6,3] => [5,2,4,1,6,3]
[2,5,4,3,1,6] => [5,2,4,3,1,6]
[2,5,4,3,6,1] => [5,2,4,3,6,1]
[2,5,4,6,1,3] => [5,2,4,6,1,3]
[2,5,4,6,3,1] => [5,2,4,6,3,1]
[2,5,6,1,3,4] => [5,2,6,1,3,4]
[2,5,6,1,4,3] => [5,2,6,1,4,3]
[2,5,6,3,1,4] => [5,2,6,3,1,4]
[2,5,6,3,4,1] => [5,2,6,3,4,1]
[2,5,6,4,1,3] => [5,2,6,4,1,3]
[2,5,6,4,3,1] => [5,2,6,4,3,1]
[2,6,1,3,4,5] => [6,2,1,3,4,5]
[2,6,1,3,5,4] => [6,2,1,3,5,4]
[2,6,1,4,3,5] => [6,2,1,4,3,5]
[2,6,1,4,5,3] => [6,2,1,4,5,3]
[2,6,1,5,3,4] => [6,2,1,5,3,4]
[2,6,1,5,4,3] => [6,2,1,5,4,3]
[2,6,3,1,4,5] => [6,2,3,1,4,5]
[2,6,3,1,5,4] => [6,2,3,1,5,4]
[2,6,3,4,1,5] => [6,2,3,4,1,5]
[2,6,3,4,5,1] => [6,2,3,4,5,1]
[2,6,3,5,1,4] => [6,2,3,5,1,4]
[2,6,3,5,4,1] => [6,2,3,5,4,1]
[2,6,4,1,3,5] => [6,2,4,1,3,5]
[2,6,4,1,5,3] => [6,2,4,1,5,3]
[2,6,4,3,1,5] => [6,2,4,3,1,5]
[2,6,4,3,5,1] => [6,2,4,3,5,1]
[2,6,4,5,1,3] => [6,2,4,5,1,3]
[2,6,4,5,3,1] => [6,2,4,5,3,1]
[2,6,5,1,3,4] => [6,2,5,1,3,4]
[2,6,5,1,4,3] => [6,2,5,1,4,3]
[2,6,5,3,1,4] => [6,2,5,3,1,4]
[2,6,5,3,4,1] => [6,2,5,3,4,1]
[2,6,5,4,1,3] => [6,2,5,4,1,3]
[2,6,5,4,3,1] => [6,2,5,4,3,1]
[3,1,2,4,5,6] => [1,3,2,4,5,6]
[3,1,2,4,6,5] => [1,3,2,4,6,5]
[3,1,2,5,4,6] => [1,3,2,5,4,6]
[3,1,2,5,6,4] => [1,3,2,5,6,4]
[3,1,2,6,4,5] => [1,3,2,6,4,5]
[3,1,2,6,5,4] => [1,3,2,6,5,4]
[3,1,4,2,5,6] => [1,3,4,2,5,6]
[3,1,4,2,6,5] => [1,3,4,2,6,5]
[3,1,4,5,2,6] => [1,3,4,5,2,6]
[3,1,4,5,6,2] => [1,3,4,5,6,2]
[3,1,4,6,2,5] => [1,3,4,6,2,5]
[3,1,4,6,5,2] => [1,3,4,6,5,2]
[3,1,5,2,4,6] => [1,3,5,2,4,6]
[3,1,5,2,6,4] => [1,3,5,2,6,4]
[3,1,5,4,2,6] => [1,3,5,4,2,6]
[3,1,5,4,6,2] => [1,3,5,4,6,2]
[3,1,5,6,2,4] => [1,3,5,6,2,4]
[3,1,5,6,4,2] => [1,3,5,6,4,2]
[3,1,6,2,4,5] => [1,3,6,2,4,5]
[3,1,6,2,5,4] => [1,3,6,2,5,4]
[3,1,6,4,2,5] => [1,3,6,4,2,5]
[3,1,6,4,5,2] => [1,3,6,4,5,2]
[3,1,6,5,2,4] => [1,3,6,5,2,4]
[3,1,6,5,4,2] => [1,3,6,5,4,2]
[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] => [2,3,1,5,6,4]
[3,2,1,6,4,5] => [2,3,1,6,4,5]
[3,2,1,6,5,4] => [2,3,1,6,5,4]
[3,2,4,1,5,6] => [2,3,4,1,5,6]
[3,2,4,1,6,5] => [2,3,4,1,6,5]
[3,2,4,5,1,6] => [2,3,4,5,1,6]
[3,2,4,5,6,1] => [2,3,4,5,6,1]
[3,2,4,6,1,5] => [2,3,4,6,1,5]
[3,2,4,6,5,1] => [2,3,4,6,5,1]
[3,2,5,1,4,6] => [2,3,5,1,4,6]
[3,2,5,1,6,4] => [2,3,5,1,6,4]
[3,2,5,4,1,6] => [2,3,5,4,1,6]
[3,2,5,4,6,1] => [2,3,5,4,6,1]
[3,2,5,6,1,4] => [2,3,5,6,1,4]
[3,2,5,6,4,1] => [2,3,5,6,4,1]
[3,2,6,1,4,5] => [2,3,6,1,4,5]
[3,2,6,1,5,4] => [2,3,6,1,5,4]
[3,2,6,4,1,5] => [2,3,6,4,1,5]
[3,2,6,4,5,1] => [2,3,6,4,5,1]
[3,2,6,5,1,4] => [2,3,6,5,1,4]
[3,2,6,5,4,1] => [2,3,6,5,4,1]
[3,4,1,2,5,6] => [4,3,1,2,5,6]
[3,4,1,2,6,5] => [4,3,1,2,6,5]
[3,4,1,5,2,6] => [4,3,1,5,2,6]
[3,4,1,5,6,2] => [4,3,1,5,6,2]
[3,4,1,6,2,5] => [4,3,1,6,2,5]
[3,4,1,6,5,2] => [4,3,1,6,5,2]
[3,4,2,1,5,6] => [4,3,2,1,5,6]
[3,4,2,1,6,5] => [4,3,2,1,6,5]
[3,4,2,5,1,6] => [4,3,2,5,1,6]
[3,4,2,5,6,1] => [4,3,2,5,6,1]
[3,4,2,6,1,5] => [4,3,2,6,1,5]
[3,4,2,6,5,1] => [4,3,2,6,5,1]
[3,4,5,1,2,6] => [4,3,5,1,2,6]
[3,4,5,1,6,2] => [4,3,5,1,6,2]
[3,4,5,2,1,6] => [4,3,5,2,1,6]
[3,4,5,2,6,1] => [4,3,5,2,6,1]
[3,4,5,6,1,2] => [4,3,5,6,1,2]
[3,4,5,6,2,1] => [4,3,5,6,2,1]
[3,4,6,1,2,5] => [4,3,6,1,2,5]
[3,4,6,1,5,2] => [4,3,6,1,5,2]
[3,4,6,2,1,5] => [4,3,6,2,1,5]
[3,4,6,2,5,1] => [4,3,6,2,5,1]
[3,4,6,5,1,2] => [4,3,6,5,1,2]
[3,4,6,5,2,1] => [4,3,6,5,2,1]
[3,5,1,2,4,6] => [5,3,1,2,4,6]
[3,5,1,2,6,4] => [5,3,1,2,6,4]
[3,5,1,4,2,6] => [5,3,1,4,2,6]
[3,5,1,4,6,2] => [5,3,1,4,6,2]
[3,5,1,6,2,4] => [5,3,1,6,2,4]
[3,5,1,6,4,2] => [5,3,1,6,4,2]
[3,5,2,1,4,6] => [5,3,2,1,4,6]
[3,5,2,1,6,4] => [5,3,2,1,6,4]
[3,5,2,4,1,6] => [5,3,2,4,1,6]
[3,5,2,4,6,1] => [5,3,2,4,6,1]
[3,5,2,6,1,4] => [5,3,2,6,1,4]
[3,5,2,6,4,1] => [5,3,2,6,4,1]
[3,5,4,1,2,6] => [5,3,4,1,2,6]
[3,5,4,1,6,2] => [5,3,4,1,6,2]
[3,5,4,2,1,6] => [5,3,4,2,1,6]
[3,5,4,2,6,1] => [5,3,4,2,6,1]
[3,5,4,6,1,2] => [5,3,4,6,1,2]
[3,5,4,6,2,1] => [5,3,4,6,2,1]
[3,5,6,1,2,4] => [5,3,6,1,2,4]
[3,5,6,1,4,2] => [5,3,6,1,4,2]
[3,5,6,2,1,4] => [5,3,6,2,1,4]
[3,5,6,2,4,1] => [5,3,6,2,4,1]
[3,5,6,4,1,2] => [5,3,6,4,1,2]
[3,5,6,4,2,1] => [5,3,6,4,2,1]
[3,6,1,2,4,5] => [6,3,1,2,4,5]
[3,6,1,2,5,4] => [6,3,1,2,5,4]
[3,6,1,4,2,5] => [6,3,1,4,2,5]
[3,6,1,4,5,2] => [6,3,1,4,5,2]
[3,6,1,5,2,4] => [6,3,1,5,2,4]
[3,6,1,5,4,2] => [6,3,1,5,4,2]
[3,6,2,1,4,5] => [6,3,2,1,4,5]
[3,6,2,1,5,4] => [6,3,2,1,5,4]
[3,6,2,4,1,5] => [6,3,2,4,1,5]
[3,6,2,4,5,1] => [6,3,2,4,5,1]
[3,6,2,5,1,4] => [6,3,2,5,1,4]
[3,6,2,5,4,1] => [6,3,2,5,4,1]
[3,6,4,1,2,5] => [6,3,4,1,2,5]
[3,6,4,1,5,2] => [6,3,4,1,5,2]
[3,6,4,2,1,5] => [6,3,4,2,1,5]
[3,6,4,2,5,1] => [6,3,4,2,5,1]
[3,6,4,5,1,2] => [6,3,4,5,1,2]
[3,6,4,5,2,1] => [6,3,4,5,2,1]
[3,6,5,1,2,4] => [6,3,5,1,2,4]
[3,6,5,1,4,2] => [6,3,5,1,4,2]
[3,6,5,2,1,4] => [6,3,5,2,1,4]
[3,6,5,2,4,1] => [6,3,5,2,4,1]
[3,6,5,4,1,2] => [6,3,5,4,1,2]
[3,6,5,4,2,1] => [6,3,5,4,2,1]
[4,1,2,3,5,6] => [1,4,2,3,5,6]
[4,1,2,3,6,5] => [1,4,2,3,6,5]
[4,1,2,5,3,6] => [1,4,2,5,3,6]
[4,1,2,5,6,3] => [1,4,2,5,6,3]
[4,1,2,6,3,5] => [1,4,2,6,3,5]
[4,1,2,6,5,3] => [1,4,2,6,5,3]
[4,1,3,2,5,6] => [1,4,3,2,5,6]
[4,1,3,2,6,5] => [1,4,3,2,6,5]
[4,1,3,5,2,6] => [1,4,3,5,2,6]
[4,1,3,5,6,2] => [1,4,3,5,6,2]
[4,1,3,6,2,5] => [1,4,3,6,2,5]
[4,1,3,6,5,2] => [1,4,3,6,5,2]
[4,1,5,2,3,6] => [1,4,5,2,3,6]
[4,1,5,2,6,3] => [1,4,5,2,6,3]
[4,1,5,3,2,6] => [1,4,5,3,2,6]
[4,1,5,3,6,2] => [1,4,5,3,6,2]
[4,1,5,6,2,3] => [1,4,5,6,2,3]
[4,1,5,6,3,2] => [1,4,5,6,3,2]
[4,1,6,2,3,5] => [1,4,6,2,3,5]
[4,1,6,2,5,3] => [1,4,6,2,5,3]
[4,1,6,3,2,5] => [1,4,6,3,2,5]
[4,1,6,3,5,2] => [1,4,6,3,5,2]
[4,1,6,5,2,3] => [1,4,6,5,2,3]
[4,1,6,5,3,2] => [1,4,6,5,3,2]
[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] => [2,4,1,5,3,6]
[4,2,1,5,6,3] => [2,4,1,5,6,3]
[4,2,1,6,3,5] => [2,4,1,6,3,5]
[4,2,1,6,5,3] => [2,4,1,6,5,3]
[4,2,3,1,5,6] => [2,4,3,1,5,6]
[4,2,3,1,6,5] => [2,4,3,1,6,5]
[4,2,3,5,1,6] => [2,4,3,5,1,6]
[4,2,3,5,6,1] => [2,4,3,5,6,1]
[4,2,3,6,1,5] => [2,4,3,6,1,5]
[4,2,3,6,5,1] => [2,4,3,6,5,1]
[4,2,5,1,3,6] => [2,4,5,1,3,6]
[4,2,5,1,6,3] => [2,4,5,1,6,3]
[4,2,5,3,1,6] => [2,4,5,3,1,6]
[4,2,5,3,6,1] => [2,4,5,3,6,1]
[4,2,5,6,1,3] => [2,4,5,6,1,3]
[4,2,5,6,3,1] => [2,4,5,6,3,1]
[4,2,6,1,3,5] => [2,4,6,1,3,5]
[4,2,6,1,5,3] => [2,4,6,1,5,3]
[4,2,6,3,1,5] => [2,4,6,3,1,5]
[4,2,6,3,5,1] => [2,4,6,3,5,1]
[4,2,6,5,1,3] => [2,4,6,5,1,3]
[4,2,6,5,3,1] => [2,4,6,5,3,1]
[4,3,1,2,5,6] => [3,4,1,2,5,6]
[4,3,1,2,6,5] => [3,4,1,2,6,5]
[4,3,1,5,2,6] => [3,4,1,5,2,6]
[4,3,1,5,6,2] => [3,4,1,5,6,2]
[4,3,1,6,2,5] => [3,4,1,6,2,5]
[4,3,1,6,5,2] => [3,4,1,6,5,2]
[4,3,2,1,5,6] => [3,4,2,1,5,6]
[4,3,2,1,6,5] => [3,4,2,1,6,5]
[4,3,2,5,1,6] => [3,4,2,5,1,6]
[4,3,2,5,6,1] => [3,4,2,5,6,1]
[4,3,2,6,1,5] => [3,4,2,6,1,5]
[4,3,2,6,5,1] => [3,4,2,6,5,1]
[4,3,5,1,2,6] => [3,4,5,1,2,6]
[4,3,5,1,6,2] => [3,4,5,1,6,2]
[4,3,5,2,1,6] => [3,4,5,2,1,6]
[4,3,5,2,6,1] => [3,4,5,2,6,1]
[4,3,5,6,1,2] => [3,4,5,6,1,2]
[4,3,5,6,2,1] => [3,4,5,6,2,1]
[4,3,6,1,2,5] => [3,4,6,1,2,5]
[4,3,6,1,5,2] => [3,4,6,1,5,2]
[4,3,6,2,1,5] => [3,4,6,2,1,5]
[4,3,6,2,5,1] => [3,4,6,2,5,1]
[4,3,6,5,1,2] => [3,4,6,5,1,2]
[4,3,6,5,2,1] => [3,4,6,5,2,1]
[4,5,1,2,3,6] => [5,4,1,2,3,6]
[4,5,1,2,6,3] => [5,4,1,2,6,3]
[4,5,1,3,2,6] => [5,4,1,3,2,6]
[4,5,1,3,6,2] => [5,4,1,3,6,2]
[4,5,1,6,2,3] => [5,4,1,6,2,3]
[4,5,1,6,3,2] => [5,4,1,6,3,2]
[4,5,2,1,3,6] => [5,4,2,1,3,6]
[4,5,2,1,6,3] => [5,4,2,1,6,3]
[4,5,2,3,1,6] => [5,4,2,3,1,6]
[4,5,2,3,6,1] => [5,4,2,3,6,1]
[4,5,2,6,1,3] => [5,4,2,6,1,3]
[4,5,2,6,3,1] => [5,4,2,6,3,1]
[4,5,3,1,2,6] => [5,4,3,1,2,6]
[4,5,3,1,6,2] => [5,4,3,1,6,2]
[4,5,3,2,1,6] => [5,4,3,2,1,6]
[4,5,3,2,6,1] => [5,4,3,2,6,1]
[4,5,3,6,1,2] => [5,4,3,6,1,2]
[4,5,3,6,2,1] => [5,4,3,6,2,1]
[4,5,6,1,2,3] => [5,4,6,1,2,3]
[4,5,6,1,3,2] => [5,4,6,1,3,2]
[4,5,6,2,1,3] => [5,4,6,2,1,3]
[4,5,6,2,3,1] => [5,4,6,2,3,1]
[4,5,6,3,1,2] => [5,4,6,3,1,2]
[4,5,6,3,2,1] => [5,4,6,3,2,1]
[4,6,1,2,3,5] => [6,4,1,2,3,5]
[4,6,1,2,5,3] => [6,4,1,2,5,3]
[4,6,1,3,2,5] => [6,4,1,3,2,5]
[4,6,1,3,5,2] => [6,4,1,3,5,2]
[4,6,1,5,2,3] => [6,4,1,5,2,3]
[4,6,1,5,3,2] => [6,4,1,5,3,2]
[4,6,2,1,3,5] => [6,4,2,1,3,5]
[4,6,2,1,5,3] => [6,4,2,1,5,3]
[4,6,2,3,1,5] => [6,4,2,3,1,5]
[4,6,2,3,5,1] => [6,4,2,3,5,1]
[4,6,2,5,1,3] => [6,4,2,5,1,3]
[4,6,2,5,3,1] => [6,4,2,5,3,1]
[4,6,3,1,2,5] => [6,4,3,1,2,5]
[4,6,3,1,5,2] => [6,4,3,1,5,2]
[4,6,3,2,1,5] => [6,4,3,2,1,5]
[4,6,3,2,5,1] => [6,4,3,2,5,1]
[4,6,3,5,1,2] => [6,4,3,5,1,2]
[4,6,3,5,2,1] => [6,4,3,5,2,1]
[4,6,5,1,2,3] => [6,4,5,1,2,3]
[4,6,5,1,3,2] => [6,4,5,1,3,2]
[4,6,5,2,1,3] => [6,4,5,2,1,3]
[4,6,5,2,3,1] => [6,4,5,2,3,1]
[4,6,5,3,1,2] => [6,4,5,3,1,2]
[4,6,5,3,2,1] => [6,4,5,3,2,1]
[5,1,2,3,4,6] => [1,5,2,3,4,6]
[5,1,2,3,6,4] => [1,5,2,3,6,4]
[5,1,2,4,3,6] => [1,5,2,4,3,6]
[5,1,2,4,6,3] => [1,5,2,4,6,3]
[5,1,2,6,3,4] => [1,5,2,6,3,4]
[5,1,2,6,4,3] => [1,5,2,6,4,3]
[5,1,3,2,4,6] => [1,5,3,2,4,6]
[5,1,3,2,6,4] => [1,5,3,2,6,4]
[5,1,3,4,2,6] => [1,5,3,4,2,6]
[5,1,3,4,6,2] => [1,5,3,4,6,2]
[5,1,3,6,2,4] => [1,5,3,6,2,4]
[5,1,3,6,4,2] => [1,5,3,6,4,2]
[5,1,4,2,3,6] => [1,5,4,2,3,6]
[5,1,4,2,6,3] => [1,5,4,2,6,3]
[5,1,4,3,2,6] => [1,5,4,3,2,6]
[5,1,4,3,6,2] => [1,5,4,3,6,2]
[5,1,4,6,2,3] => [1,5,4,6,2,3]
[5,1,4,6,3,2] => [1,5,4,6,3,2]
[5,1,6,2,3,4] => [1,5,6,2,3,4]
[5,1,6,2,4,3] => [1,5,6,2,4,3]
[5,1,6,3,2,4] => [1,5,6,3,2,4]
[5,1,6,3,4,2] => [1,5,6,3,4,2]
[5,1,6,4,2,3] => [1,5,6,4,2,3]
[5,1,6,4,3,2] => [1,5,6,4,3,2]
[5,2,1,3,4,6] => [2,5,1,3,4,6]
[5,2,1,3,6,4] => [2,5,1,3,6,4]
[5,2,1,4,3,6] => [2,5,1,4,3,6]
[5,2,1,4,6,3] => [2,5,1,4,6,3]
[5,2,1,6,3,4] => [2,5,1,6,3,4]
[5,2,1,6,4,3] => [2,5,1,6,4,3]
[5,2,3,1,4,6] => [2,5,3,1,4,6]
[5,2,3,1,6,4] => [2,5,3,1,6,4]
[5,2,3,4,1,6] => [2,5,3,4,1,6]
[5,2,3,4,6,1] => [2,5,3,4,6,1]
[5,2,3,6,1,4] => [2,5,3,6,1,4]
[5,2,3,6,4,1] => [2,5,3,6,4,1]
[5,2,4,1,3,6] => [2,5,4,1,3,6]
[5,2,4,1,6,3] => [2,5,4,1,6,3]
[5,2,4,3,1,6] => [2,5,4,3,1,6]
[5,2,4,3,6,1] => [2,5,4,3,6,1]
[5,2,4,6,1,3] => [2,5,4,6,1,3]
[5,2,4,6,3,1] => [2,5,4,6,3,1]
[5,2,6,1,3,4] => [2,5,6,1,3,4]
[5,2,6,1,4,3] => [2,5,6,1,4,3]
[5,2,6,3,1,4] => [2,5,6,3,1,4]
[5,2,6,3,4,1] => [2,5,6,3,4,1]
[5,2,6,4,1,3] => [2,5,6,4,1,3]
[5,2,6,4,3,1] => [2,5,6,4,3,1]
[5,3,1,2,4,6] => [3,5,1,2,4,6]
[5,3,1,2,6,4] => [3,5,1,2,6,4]
[5,3,1,4,2,6] => [3,5,1,4,2,6]
[5,3,1,4,6,2] => [3,5,1,4,6,2]
[5,3,1,6,2,4] => [3,5,1,6,2,4]
[5,3,1,6,4,2] => [3,5,1,6,4,2]
[5,3,2,1,4,6] => [3,5,2,1,4,6]
[5,3,2,1,6,4] => [3,5,2,1,6,4]
[5,3,2,4,1,6] => [3,5,2,4,1,6]
[5,3,2,4,6,1] => [3,5,2,4,6,1]
[5,3,2,6,1,4] => [3,5,2,6,1,4]
[5,3,2,6,4,1] => [3,5,2,6,4,1]
[5,3,4,1,2,6] => [3,5,4,1,2,6]
[5,3,4,1,6,2] => [3,5,4,1,6,2]
[5,3,4,2,1,6] => [3,5,4,2,1,6]
[5,3,4,2,6,1] => [3,5,4,2,6,1]
[5,3,4,6,1,2] => [3,5,4,6,1,2]
[5,3,4,6,2,1] => [3,5,4,6,2,1]
[5,3,6,1,2,4] => [3,5,6,1,2,4]
[5,3,6,1,4,2] => [3,5,6,1,4,2]
[5,3,6,2,1,4] => [3,5,6,2,1,4]
[5,3,6,2,4,1] => [3,5,6,2,4,1]
[5,3,6,4,1,2] => [3,5,6,4,1,2]
[5,3,6,4,2,1] => [3,5,6,4,2,1]
[5,4,1,2,3,6] => [4,5,1,2,3,6]
[5,4,1,2,6,3] => [4,5,1,2,6,3]
[5,4,1,3,2,6] => [4,5,1,3,2,6]
[5,4,1,3,6,2] => [4,5,1,3,6,2]
[5,4,1,6,2,3] => [4,5,1,6,2,3]
[5,4,1,6,3,2] => [4,5,1,6,3,2]
[5,4,2,1,3,6] => [4,5,2,1,3,6]
[5,4,2,1,6,3] => [4,5,2,1,6,3]
[5,4,2,3,1,6] => [4,5,2,3,1,6]
[5,4,2,3,6,1] => [4,5,2,3,6,1]
[5,4,2,6,1,3] => [4,5,2,6,1,3]
[5,4,2,6,3,1] => [4,5,2,6,3,1]
[5,4,3,1,2,6] => [4,5,3,1,2,6]
[5,4,3,1,6,2] => [4,5,3,1,6,2]
[5,4,3,2,1,6] => [4,5,3,2,1,6]
[5,4,3,2,6,1] => [4,5,3,2,6,1]
[5,4,3,6,1,2] => [4,5,3,6,1,2]
[5,4,3,6,2,1] => [4,5,3,6,2,1]
[5,4,6,1,2,3] => [4,5,6,1,2,3]
[5,4,6,1,3,2] => [4,5,6,1,3,2]
[5,4,6,2,1,3] => [4,5,6,2,1,3]
[5,4,6,2,3,1] => [4,5,6,2,3,1]
[5,4,6,3,1,2] => [4,5,6,3,1,2]
[5,4,6,3,2,1] => [4,5,6,3,2,1]
[5,6,1,2,3,4] => [6,5,1,2,3,4]
[5,6,1,2,4,3] => [6,5,1,2,4,3]
[5,6,1,3,2,4] => [6,5,1,3,2,4]
[5,6,1,3,4,2] => [6,5,1,3,4,2]
[5,6,1,4,2,3] => [6,5,1,4,2,3]
[5,6,1,4,3,2] => [6,5,1,4,3,2]
[5,6,2,1,3,4] => [6,5,2,1,3,4]
[5,6,2,1,4,3] => [6,5,2,1,4,3]
[5,6,2,3,1,4] => [6,5,2,3,1,4]
[5,6,2,3,4,1] => [6,5,2,3,4,1]
[5,6,2,4,1,3] => [6,5,2,4,1,3]
[5,6,2,4,3,1] => [6,5,2,4,3,1]
[5,6,3,1,2,4] => [6,5,3,1,2,4]
[5,6,3,1,4,2] => [6,5,3,1,4,2]
[5,6,3,2,1,4] => [6,5,3,2,1,4]
[5,6,3,2,4,1] => [6,5,3,2,4,1]
[5,6,3,4,1,2] => [6,5,3,4,1,2]
[5,6,3,4,2,1] => [6,5,3,4,2,1]
[5,6,4,1,2,3] => [6,5,4,1,2,3]
[5,6,4,1,3,2] => [6,5,4,1,3,2]
[5,6,4,2,1,3] => [6,5,4,2,1,3]
[5,6,4,2,3,1] => [6,5,4,2,3,1]
[5,6,4,3,1,2] => [6,5,4,3,1,2]
[5,6,4,3,2,1] => [6,5,4,3,2,1]
[6,1,2,3,4,5] => [1,6,2,3,4,5]
[6,1,2,3,5,4] => [1,6,2,3,5,4]
[6,1,2,4,3,5] => [1,6,2,4,3,5]
[6,1,2,4,5,3] => [1,6,2,4,5,3]
[6,1,2,5,3,4] => [1,6,2,5,3,4]
[6,1,2,5,4,3] => [1,6,2,5,4,3]
[6,1,3,2,4,5] => [1,6,3,2,4,5]
[6,1,3,2,5,4] => [1,6,3,2,5,4]
[6,1,3,4,2,5] => [1,6,3,4,2,5]
[6,1,3,4,5,2] => [1,6,3,4,5,2]
[6,1,3,5,2,4] => [1,6,3,5,2,4]
[6,1,3,5,4,2] => [1,6,3,5,4,2]
[6,1,4,2,3,5] => [1,6,4,2,3,5]
[6,1,4,2,5,3] => [1,6,4,2,5,3]
[6,1,4,3,2,5] => [1,6,4,3,2,5]
[6,1,4,3,5,2] => [1,6,4,3,5,2]
[6,1,4,5,2,3] => [1,6,4,5,2,3]
[6,1,4,5,3,2] => [1,6,4,5,3,2]
[6,1,5,2,3,4] => [1,6,5,2,3,4]
[6,1,5,2,4,3] => [1,6,5,2,4,3]
[6,1,5,3,2,4] => [1,6,5,3,2,4]
[6,1,5,3,4,2] => [1,6,5,3,4,2]
[6,1,5,4,2,3] => [1,6,5,4,2,3]
[6,1,5,4,3,2] => [1,6,5,4,3,2]
[6,2,1,3,4,5] => [2,6,1,3,4,5]
[6,2,1,3,5,4] => [2,6,1,3,5,4]
[6,2,1,4,3,5] => [2,6,1,4,3,5]
[6,2,1,4,5,3] => [2,6,1,4,5,3]
[6,2,1,5,3,4] => [2,6,1,5,3,4]
[6,2,1,5,4,3] => [2,6,1,5,4,3]
[6,2,3,1,4,5] => [2,6,3,1,4,5]
[6,2,3,1,5,4] => [2,6,3,1,5,4]
[6,2,3,4,1,5] => [2,6,3,4,1,5]
[6,2,3,4,5,1] => [2,6,3,4,5,1]
[6,2,3,5,1,4] => [2,6,3,5,1,4]
[6,2,3,5,4,1] => [2,6,3,5,4,1]
[6,2,4,1,3,5] => [2,6,4,1,3,5]
[6,2,4,1,5,3] => [2,6,4,1,5,3]
[6,2,4,3,1,5] => [2,6,4,3,1,5]
[6,2,4,3,5,1] => [2,6,4,3,5,1]
[6,2,4,5,1,3] => [2,6,4,5,1,3]
[6,2,4,5,3,1] => [2,6,4,5,3,1]
[6,2,5,1,3,4] => [2,6,5,1,3,4]
[6,2,5,1,4,3] => [2,6,5,1,4,3]
[6,2,5,3,1,4] => [2,6,5,3,1,4]
[6,2,5,3,4,1] => [2,6,5,3,4,1]
[6,2,5,4,1,3] => [2,6,5,4,1,3]
[6,2,5,4,3,1] => [2,6,5,4,3,1]
[6,3,1,2,4,5] => [3,6,1,2,4,5]
[6,3,1,2,5,4] => [3,6,1,2,5,4]
[6,3,1,4,2,5] => [3,6,1,4,2,5]
[6,3,1,4,5,2] => [3,6,1,4,5,2]
[6,3,1,5,2,4] => [3,6,1,5,2,4]
[6,3,1,5,4,2] => [3,6,1,5,4,2]
[6,3,2,1,4,5] => [3,6,2,1,4,5]
[6,3,2,1,5,4] => [3,6,2,1,5,4]
[6,3,2,4,1,5] => [3,6,2,4,1,5]
[6,3,2,4,5,1] => [3,6,2,4,5,1]
[6,3,2,5,1,4] => [3,6,2,5,1,4]
[6,3,2,5,4,1] => [3,6,2,5,4,1]
[6,3,4,1,2,5] => [3,6,4,1,2,5]
[6,3,4,1,5,2] => [3,6,4,1,5,2]
[6,3,4,2,1,5] => [3,6,4,2,1,5]
[6,3,4,2,5,1] => [3,6,4,2,5,1]
[6,3,4,5,1,2] => [3,6,4,5,1,2]
[6,3,4,5,2,1] => [3,6,4,5,2,1]
[6,3,5,1,2,4] => [3,6,5,1,2,4]
[6,3,5,1,4,2] => [3,6,5,1,4,2]
[6,3,5,2,1,4] => [3,6,5,2,1,4]
[6,3,5,2,4,1] => [3,6,5,2,4,1]
[6,3,5,4,1,2] => [3,6,5,4,1,2]
[6,3,5,4,2,1] => [3,6,5,4,2,1]
[6,4,1,2,3,5] => [4,6,1,2,3,5]
[6,4,1,2,5,3] => [4,6,1,2,5,3]
[6,4,1,3,2,5] => [4,6,1,3,2,5]
[6,4,1,3,5,2] => [4,6,1,3,5,2]
[6,4,1,5,2,3] => [4,6,1,5,2,3]
[6,4,1,5,3,2] => [4,6,1,5,3,2]
[6,4,2,1,3,5] => [4,6,2,1,3,5]
[6,4,2,1,5,3] => [4,6,2,1,5,3]
[6,4,2,3,1,5] => [4,6,2,3,1,5]
[6,4,2,3,5,1] => [4,6,2,3,5,1]
[6,4,2,5,1,3] => [4,6,2,5,1,3]
[6,4,2,5,3,1] => [4,6,2,5,3,1]
[6,4,3,1,2,5] => [4,6,3,1,2,5]
[6,4,3,1,5,2] => [4,6,3,1,5,2]
[6,4,3,2,1,5] => [4,6,3,2,1,5]
[6,4,3,2,5,1] => [4,6,3,2,5,1]
[6,4,3,5,1,2] => [4,6,3,5,1,2]
[6,4,3,5,2,1] => [4,6,3,5,2,1]
[6,4,5,1,2,3] => [4,6,5,1,2,3]
[6,4,5,1,3,2] => [4,6,5,1,3,2]
[6,4,5,2,1,3] => [4,6,5,2,1,3]
[6,4,5,2,3,1] => [4,6,5,2,3,1]
[6,4,5,3,1,2] => [4,6,5,3,1,2]
[6,4,5,3,2,1] => [4,6,5,3,2,1]
[6,5,1,2,3,4] => [5,6,1,2,3,4]
[6,5,1,2,4,3] => [5,6,1,2,4,3]
[6,5,1,3,2,4] => [5,6,1,3,2,4]
[6,5,1,3,4,2] => [5,6,1,3,4,2]
[6,5,1,4,2,3] => [5,6,1,4,2,3]
[6,5,1,4,3,2] => [5,6,1,4,3,2]
[6,5,2,1,3,4] => [5,6,2,1,3,4]
[6,5,2,1,4,3] => [5,6,2,1,4,3]
[6,5,2,3,1,4] => [5,6,2,3,1,4]
[6,5,2,3,4,1] => [5,6,2,3,4,1]
[6,5,2,4,1,3] => [5,6,2,4,1,3]
[6,5,2,4,3,1] => [5,6,2,4,3,1]
[6,5,3,1,2,4] => [5,6,3,1,2,4]
[6,5,3,1,4,2] => [5,6,3,1,4,2]
[6,5,3,2,1,4] => [5,6,3,2,1,4]
[6,5,3,2,4,1] => [5,6,3,2,4,1]
[6,5,3,4,1,2] => [5,6,3,4,1,2]
[6,5,3,4,2,1] => [5,6,3,4,2,1]
[6,5,4,1,2,3] => [5,6,4,1,2,3]
[6,5,4,1,3,2] => [5,6,4,1,3,2]
[6,5,4,2,1,3] => [5,6,4,2,1,3]
[6,5,4,2,3,1] => [5,6,4,2,3,1]
[6,5,4,3,1,2] => [5,6,4,3,1,2]
[6,5,4,3,2,1] => [5,6,4,3,2,1]
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7]
[1,2,3,4,5,7,6] => [1,2,3,4,7,5,6]
[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] => [1,2,3,4,5,7,6]
[1,2,3,4,7,6,5] => [1,2,3,4,6,7,5]
[1,2,3,5,4,6,7] => [1,2,5,3,4,6,7]
[1,2,3,5,4,7,6] => [1,2,5,3,4,7,6]
[1,2,3,5,6,4,7] => [1,2,5,3,6,4,7]
[1,2,3,5,6,7,4] => [1,2,5,3,6,7,4]
[1,2,3,5,7,4,6] => [1,2,5,3,7,4,6]
[1,2,3,5,7,6,4] => [1,2,5,3,7,6,4]
[1,2,3,6,4,5,7] => [1,2,6,3,4,5,7]
[1,2,3,6,4,7,5] => [1,2,6,3,4,7,5]
[1,2,3,6,5,4,7] => [1,2,6,3,5,4,7]
[1,2,3,6,5,7,4] => [1,2,6,3,5,7,4]
[1,2,3,6,7,4,5] => [1,2,6,3,7,4,5]
[1,2,3,6,7,5,4] => [1,2,6,3,7,5,4]
[1,2,3,7,4,5,6] => [1,2,7,3,4,5,6]
[1,2,3,7,4,6,5] => [1,2,7,3,4,6,5]
[1,2,3,7,5,4,6] => [1,2,7,3,5,4,6]
[1,2,3,7,5,6,4] => [1,2,7,3,5,6,4]
[1,2,3,7,6,4,5] => [1,2,7,3,6,4,5]
[1,2,3,7,6,5,4] => [1,2,7,3,6,5,4]
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7]
[1,2,4,3,5,7,6] => [1,2,4,3,7,5,6]
[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] => [1,2,4,3,5,7,6]
[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] => [1,2,5,4,6,3,7]
[1,2,4,5,6,7,3] => [1,2,5,4,6,7,3]
[1,2,4,5,7,3,6] => [1,2,5,4,7,3,6]
[1,2,4,5,7,6,3] => [1,2,5,4,7,6,3]
[1,2,4,6,3,5,7] => [1,2,6,4,3,5,7]
[1,2,4,6,3,7,5] => [1,2,6,4,3,7,5]
[1,2,4,6,5,3,7] => [1,2,6,4,5,3,7]
[1,2,4,6,5,7,3] => [1,2,6,4,5,7,3]
[1,2,4,6,7,3,5] => [1,2,6,4,7,3,5]
[1,2,4,6,7,5,3] => [1,2,6,4,7,5,3]
[1,2,4,7,3,5,6] => [1,2,7,4,3,5,6]
[1,2,4,7,3,6,5] => [1,2,7,4,3,6,5]
[1,2,4,7,5,3,6] => [1,2,7,4,5,3,6]
[1,2,4,7,5,6,3] => [1,2,7,4,5,6,3]
[1,2,4,7,6,3,5] => [1,2,7,4,6,3,5]
[1,2,4,7,6,5,3] => [1,2,7,4,6,5,3]
[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7]
[1,2,5,3,4,7,6] => [1,2,3,5,4,7,6]
[1,2,5,3,6,4,7] => [1,2,3,5,6,4,7]
[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4]
[1,2,5,3,7,4,6] => [1,2,3,5,7,4,6]
[1,2,5,3,7,6,4] => [1,2,3,5,7,6,4]
[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] => [1,2,4,5,6,3,7]
[1,2,5,4,6,7,3] => [1,2,4,5,6,7,3]
[1,2,5,4,7,3,6] => [1,2,4,5,7,3,6]
[1,2,5,4,7,6,3] => [1,2,4,5,7,6,3]
[1,2,5,6,3,4,7] => [1,2,6,5,3,4,7]
[1,2,5,6,3,7,4] => [1,2,6,5,3,7,4]
[1,2,5,6,4,3,7] => [1,2,6,5,4,3,7]
[1,2,5,6,4,7,3] => [1,2,6,5,4,7,3]
[1,2,5,6,7,3,4] => [1,2,6,5,7,3,4]
[1,2,5,6,7,4,3] => [1,2,6,5,7,4,3]
[1,2,5,7,3,4,6] => [1,2,7,5,3,4,6]
[1,2,5,7,3,6,4] => [1,2,7,5,3,6,4]
[1,2,5,7,4,3,6] => [1,2,7,5,4,3,6]
[1,2,5,7,4,6,3] => [1,2,7,5,4,6,3]
[1,2,5,7,6,3,4] => [1,2,7,5,6,3,4]
[1,2,5,7,6,4,3] => [1,2,7,5,6,4,3]
[1,2,6,3,4,5,7] => [1,2,3,6,4,5,7]
[1,2,6,3,4,7,5] => [1,2,3,6,4,7,5]
[1,2,6,3,5,4,7] => [1,2,3,6,5,4,7]
[1,2,6,3,5,7,4] => [1,2,3,6,5,7,4]
[1,2,6,3,7,4,5] => [1,2,3,6,7,4,5]
[1,2,6,3,7,5,4] => [1,2,3,6,7,5,4]
[1,2,6,4,3,5,7] => [1,2,4,6,3,5,7]
[1,2,6,4,3,7,5] => [1,2,4,6,3,7,5]
[1,2,6,4,5,3,7] => [1,2,4,6,5,3,7]
[1,2,6,4,5,7,3] => [1,2,4,6,5,7,3]
[1,2,6,4,7,3,5] => [1,2,4,6,7,3,5]
[1,2,6,4,7,5,3] => [1,2,4,6,7,5,3]
[1,2,6,5,3,4,7] => [1,2,5,6,3,4,7]
[1,2,6,5,3,7,4] => [1,2,5,6,3,7,4]
[1,2,6,5,4,3,7] => [1,2,5,6,4,3,7]
[1,2,6,5,4,7,3] => [1,2,5,6,4,7,3]
[1,2,6,5,7,3,4] => [1,2,5,6,7,3,4]
[1,2,6,5,7,4,3] => [1,2,5,6,7,4,3]
[1,2,6,7,3,4,5] => [1,2,7,6,3,4,5]
[1,2,6,7,3,5,4] => [1,2,7,6,3,5,4]
[1,2,6,7,4,3,5] => [1,2,7,6,4,3,5]
[1,2,6,7,4,5,3] => [1,2,7,6,4,5,3]
[1,2,6,7,5,3,4] => [1,2,7,6,5,3,4]
[1,2,6,7,5,4,3] => [1,2,7,6,5,4,3]
[1,2,7,3,4,5,6] => [1,2,3,7,4,5,6]
[1,2,7,3,4,6,5] => [1,2,3,7,4,6,5]
[1,2,7,3,5,4,6] => [1,2,3,7,5,4,6]
[1,2,7,3,5,6,4] => [1,2,3,7,5,6,4]
[1,2,7,3,6,4,5] => [1,2,3,7,6,4,5]
[1,2,7,3,6,5,4] => [1,2,3,7,6,5,4]
[1,2,7,4,3,5,6] => [1,2,4,7,3,5,6]
[1,2,7,4,3,6,5] => [1,2,4,7,3,6,5]
[1,2,7,4,5,3,6] => [1,2,4,7,5,3,6]
[1,2,7,4,5,6,3] => [1,2,4,7,5,6,3]
[1,2,7,4,6,3,5] => [1,2,4,7,6,3,5]
[1,2,7,4,6,5,3] => [1,2,4,7,6,5,3]
[1,2,7,5,3,4,6] => [1,2,5,7,3,4,6]
[1,2,7,5,3,6,4] => [1,2,5,7,3,6,4]
[1,2,7,5,4,3,6] => [1,2,5,7,4,3,6]
[1,2,7,5,4,6,3] => [1,2,5,7,4,6,3]
[1,2,7,5,6,3,4] => [1,2,5,7,6,3,4]
[1,2,7,5,6,4,3] => [1,2,5,7,6,4,3]
[1,2,7,6,3,4,5] => [1,2,6,7,3,4,5]
[1,2,7,6,3,5,4] => [1,2,6,7,3,5,4]
[1,2,7,6,4,3,5] => [1,2,6,7,4,3,5]
[1,2,7,6,4,5,3] => [1,2,6,7,4,5,3]
[1,2,7,6,5,3,4] => [1,2,6,7,5,3,4]
[1,2,7,6,5,4,3] => [1,2,6,7,5,4,3]
[1,3,2,4,5,6,7] => [3,1,2,4,5,6,7]
[1,3,2,4,5,7,6] => [3,1,2,4,5,7,6]
[1,3,2,4,6,5,7] => [3,1,2,4,6,5,7]
[1,3,2,4,6,7,5] => [3,1,2,4,6,7,5]
[1,3,2,4,7,5,6] => [3,1,2,4,7,5,6]
[1,3,2,4,7,6,5] => [3,1,2,4,7,6,5]
[1,3,2,5,4,6,7] => [3,1,2,5,4,6,7]
[1,3,2,5,4,7,6] => [3,1,2,5,4,7,6]
[1,3,2,5,6,4,7] => [3,1,2,5,6,4,7]
[1,3,2,5,6,7,4] => [3,1,2,5,6,7,4]
[1,3,2,5,7,4,6] => [3,1,2,5,7,4,6]
[1,3,2,5,7,6,4] => [3,1,2,5,7,6,4]
[1,3,2,6,4,5,7] => [3,1,2,6,4,5,7]
[1,3,2,6,4,7,5] => [3,1,2,6,4,7,5]
[1,3,2,6,5,4,7] => [3,1,2,6,5,4,7]
[1,3,2,6,5,7,4] => [3,1,2,6,5,7,4]
[1,3,2,6,7,4,5] => [3,1,2,6,7,4,5]
[1,3,2,6,7,5,4] => [3,1,2,6,7,5,4]
[1,3,2,7,4,5,6] => [3,1,2,7,4,5,6]
[1,3,2,7,4,6,5] => [3,1,2,7,4,6,5]
[1,3,2,7,5,4,6] => [3,1,2,7,5,4,6]
[1,3,2,7,5,6,4] => [3,1,2,7,5,6,4]
[1,3,2,7,6,4,5] => [3,1,2,7,6,4,5]
[1,3,2,7,6,5,4] => [3,1,2,7,6,5,4]
[1,3,4,2,5,6,7] => [3,1,4,2,5,6,7]
[1,3,4,2,5,7,6] => [3,1,4,2,5,7,6]
[1,3,4,2,6,5,7] => [3,1,4,2,6,5,7]
[1,3,4,2,6,7,5] => [3,1,4,2,6,7,5]
[1,3,4,2,7,5,6] => [3,1,4,2,7,5,6]
[1,3,4,2,7,6,5] => [3,1,4,2,7,6,5]
[1,3,4,5,2,6,7] => [3,1,4,5,2,6,7]
[1,3,4,5,2,7,6] => [3,1,4,5,2,7,6]
[1,3,4,5,6,2,7] => [3,1,4,5,6,2,7]
[1,3,4,5,6,7,2] => [3,1,4,5,6,7,2]
[1,3,4,5,7,2,6] => [3,1,4,5,7,2,6]
[1,3,4,5,7,6,2] => [3,1,4,5,7,6,2]
[1,3,4,6,2,5,7] => [3,1,4,6,2,5,7]
[1,3,4,6,2,7,5] => [3,1,4,6,2,7,5]
[1,3,4,6,5,2,7] => [3,1,4,6,5,2,7]
[1,3,4,6,5,7,2] => [3,1,4,6,5,7,2]
[1,3,4,6,7,2,5] => [3,1,4,6,7,2,5]
[1,3,4,6,7,5,2] => [3,1,4,6,7,5,2]
[1,3,4,7,2,5,6] => [3,1,4,7,2,5,6]
[1,3,4,7,2,6,5] => [3,1,4,7,2,6,5]
[1,3,4,7,5,2,6] => [3,1,4,7,5,2,6]
[1,3,4,7,5,6,2] => [3,1,4,7,5,6,2]
[1,3,4,7,6,2,5] => [3,1,4,7,6,2,5]
[1,3,4,7,6,5,2] => [3,1,4,7,6,5,2]
[1,3,5,2,4,6,7] => [3,1,5,2,4,6,7]
[1,3,5,2,4,7,6] => [3,1,5,2,4,7,6]
[1,3,5,2,6,4,7] => [3,1,5,2,6,4,7]
[1,3,5,2,6,7,4] => [3,1,5,2,6,7,4]
[1,3,5,2,7,4,6] => [3,1,5,2,7,4,6]
[1,3,5,2,7,6,4] => [3,1,5,2,7,6,4]
[1,3,5,4,2,6,7] => [3,1,5,4,2,6,7]
[1,3,5,4,2,7,6] => [3,1,5,4,2,7,6]
[1,3,5,4,6,2,7] => [3,1,5,4,6,2,7]
[1,3,5,4,6,7,2] => [3,1,5,4,6,7,2]
[1,3,5,4,7,2,6] => [3,1,5,4,7,2,6]
[1,3,5,4,7,6,2] => [3,1,5,4,7,6,2]
[1,3,5,6,2,4,7] => [3,1,5,6,2,4,7]
[1,3,5,6,2,7,4] => [3,1,5,6,2,7,4]
[1,3,5,6,4,2,7] => [3,1,5,6,4,2,7]
[1,3,5,6,4,7,2] => [3,1,5,6,4,7,2]
[1,3,5,6,7,2,4] => [3,1,5,6,7,2,4]
[1,3,5,6,7,4,2] => [3,1,5,6,7,4,2]
[1,3,5,7,2,4,6] => [3,1,5,7,2,4,6]
[1,3,5,7,2,6,4] => [3,1,5,7,2,6,4]
[1,3,5,7,4,2,6] => [3,1,5,7,4,2,6]
[1,3,5,7,4,6,2] => [3,1,5,7,4,6,2]
[1,3,5,7,6,2,4] => [3,1,5,7,6,2,4]
[1,3,5,7,6,4,2] => [3,1,5,7,6,4,2]
[1,3,6,2,4,5,7] => [3,1,6,2,4,5,7]
[1,3,6,2,4,7,5] => [3,1,6,2,4,7,5]
[1,3,6,2,5,4,7] => [3,1,6,2,5,4,7]
[1,3,6,2,5,7,4] => [3,1,6,2,5,7,4]
[1,3,6,2,7,4,5] => [3,1,6,2,7,4,5]
[1,3,6,2,7,5,4] => [3,1,6,2,7,5,4]
[1,3,6,4,2,5,7] => [3,1,6,4,2,5,7]
[1,3,6,4,2,7,5] => [3,1,6,4,2,7,5]
[1,3,6,4,5,2,7] => [3,1,6,4,5,2,7]
[1,3,6,4,5,7,2] => [3,1,6,4,5,7,2]
[1,3,6,4,7,2,5] => [3,1,6,4,7,2,5]
[1,3,6,4,7,5,2] => [3,1,6,4,7,5,2]
[1,3,6,5,2,4,7] => [3,1,6,5,2,4,7]
[1,3,6,5,2,7,4] => [3,1,6,5,2,7,4]
[1,3,6,5,4,2,7] => [3,1,6,5,4,2,7]
[1,3,6,5,4,7,2] => [3,1,6,5,4,7,2]
[1,3,6,5,7,2,4] => [3,1,6,5,7,2,4]
[1,3,6,5,7,4,2] => [3,1,6,5,7,4,2]
[1,3,6,7,2,4,5] => [3,1,6,7,2,4,5]
[1,3,6,7,2,5,4] => [3,1,6,7,2,5,4]
[1,3,6,7,4,2,5] => [3,1,6,7,4,2,5]
[1,3,6,7,4,5,2] => [3,1,6,7,4,5,2]
[1,3,6,7,5,2,4] => [3,1,6,7,5,2,4]
[1,3,6,7,5,4,2] => [3,1,6,7,5,4,2]
[1,3,7,2,4,5,6] => [3,1,7,2,4,5,6]
[1,3,7,2,4,6,5] => [3,1,7,2,4,6,5]
[1,3,7,2,5,4,6] => [3,1,7,2,5,4,6]
[1,3,7,2,5,6,4] => [3,1,7,2,5,6,4]
[1,3,7,2,6,4,5] => [3,1,7,2,6,4,5]
[1,3,7,2,6,5,4] => [3,1,7,2,6,5,4]
[1,3,7,4,2,5,6] => [3,1,7,4,2,5,6]
[1,3,7,4,2,6,5] => [3,1,7,4,2,6,5]
[1,3,7,4,5,2,6] => [3,1,7,4,5,2,6]
[1,3,7,4,5,6,2] => [3,1,7,4,5,6,2]
[1,3,7,4,6,2,5] => [3,1,7,4,6,2,5]
[1,3,7,4,6,5,2] => [3,1,7,4,6,5,2]
[1,3,7,5,2,4,6] => [3,1,7,5,2,4,6]
[1,3,7,5,2,6,4] => [3,1,7,5,2,6,4]
[1,3,7,5,4,2,6] => [3,1,7,5,4,2,6]
[1,3,7,5,4,6,2] => [3,1,7,5,4,6,2]
[1,3,7,5,6,2,4] => [3,1,7,5,6,2,4]
[1,3,7,5,6,4,2] => [3,1,7,5,6,4,2]
[1,3,7,6,2,4,5] => [3,1,7,6,2,4,5]
[1,3,7,6,2,5,4] => [3,1,7,6,2,5,4]
[1,3,7,6,4,2,5] => [3,1,7,6,4,2,5]
[1,3,7,6,4,5,2] => [3,1,7,6,4,5,2]
[1,3,7,6,5,2,4] => [3,1,7,6,5,2,4]
[1,3,7,6,5,4,2] => [3,1,7,6,5,4,2]
[1,4,2,3,5,6,7] => [4,1,2,3,5,6,7]
[1,4,2,3,5,7,6] => [4,1,2,3,5,7,6]
[1,4,2,3,6,5,7] => [4,1,2,3,6,5,7]
[1,4,2,3,6,7,5] => [4,1,2,3,6,7,5]
[1,4,2,3,7,5,6] => [4,1,2,3,7,5,6]
[1,4,2,3,7,6,5] => [4,1,2,3,7,6,5]
[1,4,2,5,3,6,7] => [4,1,2,5,3,6,7]
[1,4,2,5,3,7,6] => [4,1,2,5,3,7,6]
[1,4,2,5,6,3,7] => [4,1,2,5,6,3,7]
[1,4,2,5,6,7,3] => [4,1,2,5,6,7,3]
[1,4,2,5,7,3,6] => [4,1,2,5,7,3,6]
[1,4,2,5,7,6,3] => [4,1,2,5,7,6,3]
[1,4,2,6,3,5,7] => [4,1,2,6,3,5,7]
[1,4,2,6,3,7,5] => [4,1,2,6,3,7,5]
[1,4,2,6,5,3,7] => [4,1,2,6,5,3,7]
[1,4,2,6,5,7,3] => [4,1,2,6,5,7,3]
[1,4,2,6,7,3,5] => [4,1,2,6,7,3,5]
[1,4,2,6,7,5,3] => [4,1,2,6,7,5,3]
[1,4,2,7,3,5,6] => [4,1,2,7,3,5,6]
[1,4,2,7,3,6,5] => [4,1,2,7,3,6,5]
[1,4,2,7,5,3,6] => [4,1,2,7,5,3,6]
[1,4,2,7,5,6,3] => [4,1,2,7,5,6,3]
[1,4,2,7,6,3,5] => [4,1,2,7,6,3,5]
[1,4,2,7,6,5,3] => [4,1,2,7,6,5,3]
[1,4,3,2,5,6,7] => [4,1,3,2,5,6,7]
[1,4,3,2,5,7,6] => [4,1,3,2,5,7,6]
[1,4,3,2,6,5,7] => [4,1,3,2,6,5,7]
[1,4,3,2,6,7,5] => [4,1,3,2,6,7,5]
[1,4,3,2,7,5,6] => [4,1,3,2,7,5,6]
[1,4,3,2,7,6,5] => [4,1,3,2,7,6,5]
[1,4,3,5,2,6,7] => [4,1,3,5,2,6,7]
[1,4,3,5,2,7,6] => [4,1,3,5,2,7,6]
[1,4,3,5,6,2,7] => [4,1,3,5,6,2,7]
[1,4,3,5,6,7,2] => [4,1,3,5,6,7,2]
[1,4,3,5,7,2,6] => [4,1,3,5,7,2,6]
[1,4,3,5,7,6,2] => [4,1,3,5,7,6,2]
[1,4,3,6,2,5,7] => [4,1,3,6,2,5,7]
[1,4,3,6,2,7,5] => [4,1,3,6,2,7,5]
[1,4,3,6,5,2,7] => [4,1,3,6,5,2,7]
[1,4,3,6,5,7,2] => [4,1,3,6,5,7,2]
[1,4,3,6,7,2,5] => [4,1,3,6,7,2,5]
[1,4,3,6,7,5,2] => [4,1,3,6,7,5,2]
[1,4,3,7,2,5,6] => [4,1,3,7,2,5,6]
[1,4,3,7,2,6,5] => [4,1,3,7,2,6,5]
[1,4,3,7,5,2,6] => [4,1,3,7,5,2,6]
[1,4,3,7,5,6,2] => [4,1,3,7,5,6,2]
[1,4,3,7,6,2,5] => [4,1,3,7,6,2,5]
[1,4,3,7,6,5,2] => [4,1,3,7,6,5,2]
[1,4,5,2,3,6,7] => [4,1,5,2,3,6,7]
[1,4,5,2,3,7,6] => [4,1,5,2,3,7,6]
[1,4,5,2,6,3,7] => [4,1,5,2,6,3,7]
[1,4,5,2,6,7,3] => [4,1,5,2,6,7,3]
[1,4,5,2,7,3,6] => [4,1,5,2,7,3,6]
[1,4,5,2,7,6,3] => [4,1,5,2,7,6,3]
[1,4,5,3,2,6,7] => [4,1,5,3,2,6,7]
[1,4,5,3,2,7,6] => [4,1,5,3,2,7,6]
[1,4,5,3,6,2,7] => [4,1,5,3,6,2,7]
[1,4,5,3,6,7,2] => [4,1,5,3,6,7,2]
[1,4,5,3,7,2,6] => [4,1,5,3,7,2,6]
[1,4,5,3,7,6,2] => [4,1,5,3,7,6,2]
[1,4,5,6,2,3,7] => [4,1,5,6,2,3,7]
[1,4,5,6,2,7,3] => [4,1,5,6,2,7,3]
[1,4,5,6,3,2,7] => [4,1,5,6,3,2,7]
[1,4,5,6,3,7,2] => [4,1,5,6,3,7,2]
[1,4,5,6,7,2,3] => [4,1,5,6,7,2,3]
[1,4,5,6,7,3,2] => [4,1,5,6,7,3,2]
[1,4,5,7,2,3,6] => [4,1,5,7,2,3,6]
[1,4,5,7,2,6,3] => [4,1,5,7,2,6,3]
[1,4,5,7,3,2,6] => [4,1,5,7,3,2,6]
[1,4,5,7,3,6,2] => [4,1,5,7,3,6,2]
[1,4,5,7,6,2,3] => [4,1,5,7,6,2,3]
[1,4,5,7,6,3,2] => [4,1,5,7,6,3,2]
[1,4,6,2,3,5,7] => [4,1,6,2,3,5,7]
[1,4,6,2,3,7,5] => [4,1,6,2,3,7,5]
[1,4,6,2,5,3,7] => [4,1,6,2,5,3,7]
[1,4,6,2,5,7,3] => [4,1,6,2,5,7,3]
[1,4,6,2,7,3,5] => [4,1,6,2,7,3,5]
[1,4,6,2,7,5,3] => [4,1,6,2,7,5,3]
[1,4,6,3,2,5,7] => [4,1,6,3,2,5,7]
[1,4,6,3,2,7,5] => [4,1,6,3,2,7,5]
[1,4,6,3,5,2,7] => [4,1,6,3,5,2,7]
[1,4,6,3,5,7,2] => [4,1,6,3,5,7,2]
[1,4,6,3,7,2,5] => [4,1,6,3,7,2,5]
[1,4,6,3,7,5,2] => [4,1,6,3,7,5,2]
[1,4,6,5,2,3,7] => [4,1,6,5,2,3,7]
[1,4,6,5,2,7,3] => [4,1,6,5,2,7,3]
[1,4,6,5,3,2,7] => [4,1,6,5,3,2,7]
-----------------------------------------------------------------------------
Created: Jul 21, 2022 at 07:33 by Per Alexandersson and Frether Getachew Kebede
-----------------------------------------------------------------------------
Last Updated: Aug 07, 2023 at 20:19 by Nadia Lafreniere