************************************************************************
*    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: Mp00310

------------------------------------------------------------------------
Map name: toric promotion

------------------------------------------------------------------------
Domain: Permutations

------------------------------------------------------------------------
Codomain: Permutations

------------------------------------------------------------------------
Description: Toric promotion of a permutation.

Let $\sigma\in\mathfrak S_n$ be a permutation and let 
$
\tau_{i, j}(\sigma) =
\begin{cases}
\sigma & \text{if $|\sigma^{-1}(i) - \sigma^{-1}(j)| = 1$}\\
(i, j)\circ\sigma & \text{otherwise}.
\end{cases}
$

The toric promotion operator is the product $\tau_{n,1}\tau_{n-1,n}\dots\tau_{1,2}$.

This is the special case of toric promotion on graphs for the path graph.  Its order is $n-1$.

------------------------------------------------------------------------
References: [1]   Defant, C. Toric Promotion [[arXiv:2112.06843]]

------------------------------------------------------------------------
Code:

def toggle(pi, i, j):
    if pi.index(i) - pi.index(j) in [-1, 1]:
        return pi
    sigma = [j if e == i else i if e == j else e for e in pi]
    return Permutation(sigma)

def mapping(pi):
    n = len(pi)
    for i in range(1, n):
        pi = toggle(pi, i, i+1)
    return toggle(pi, n, 1)


------------------------------------------------------------------------
Map images:

[1]             => [1]
[1,2]           => [1,2]
[2,1]           => [2,1]
[1,2,3]         => [3,2,1]
[1,3,2]         => [2,3,1]
[2,1,3]         => [3,1,2]
[2,3,1]         => [1,3,2]
[3,1,2]         => [2,1,3]
[3,2,1]         => [1,2,3]
[1,2,3,4]       => [4,2,3,1]
[1,2,4,3]       => [4,3,1,2]
[1,3,2,4]       => [2,4,1,3]
[1,3,4,2]       => [2,3,4,1]
[1,4,2,3]       => [3,4,1,2]
[1,4,3,2]       => [3,1,2,4]
[2,1,3,4]       => [4,1,2,3]
[2,1,4,3]       => [4,1,3,2]
[2,3,1,4]       => [1,4,2,3]
[2,3,4,1]       => [4,2,1,3]
[2,4,1,3]       => [4,3,2,1]
[2,4,3,1]       => [1,4,3,2]
[3,1,2,4]       => [2,4,3,1]
[3,1,4,2]       => [1,2,3,4]
[3,2,1,4]       => [1,2,4,3]
[3,2,4,1]       => [2,1,4,3]
[3,4,1,2]       => [2,3,1,4]
[3,4,2,1]       => [2,1,3,4]
[4,1,2,3]       => [3,4,2,1]
[4,1,3,2]       => [3,2,4,1]
[4,2,1,3]       => [1,3,4,2]
[4,2,3,1]       => [3,1,4,2]
[4,3,1,2]       => [3,2,1,4]
[4,3,2,1]       => [1,3,2,4]
[1,2,3,4,5]     => [5,2,3,4,1]
[1,2,3,5,4]     => [5,2,4,1,3]
[1,2,4,3,5]     => [5,3,1,2,4]
[1,2,4,5,3]     => [5,3,4,1,2]
[1,2,5,3,4]     => [5,4,1,2,3]
[1,2,5,4,3]     => [5,4,1,3,2]
[1,3,2,4,5]     => [2,5,1,3,4]
[1,3,2,5,4]     => [2,5,1,4,3]
[1,3,4,2,5]     => [2,3,5,1,4]
[1,3,4,5,2]     => [2,3,4,5,1]
[1,3,5,2,4]     => [2,4,5,1,3]
[1,3,5,4,2]     => [2,4,1,3,5]
[1,4,2,3,5]     => [3,5,1,2,4]
[1,4,2,5,3]     => [3,5,1,4,2]
[1,4,3,2,5]     => [3,1,2,5,4]
[1,4,3,5,2]     => [3,1,2,4,5]
[1,4,5,2,3]     => [3,4,5,1,2]
[1,4,5,3,2]     => [3,4,1,2,5]
[1,5,2,3,4]     => [4,5,1,2,3]
[1,5,2,4,3]     => [4,5,1,3,2]
[1,5,3,2,4]     => [4,1,2,5,3]
[1,5,3,4,2]     => [4,1,2,3,5]
[1,5,4,2,3]     => [4,1,3,5,2]
[1,5,4,3,2]     => [4,1,3,2,5]
[2,1,3,4,5]     => [5,1,2,3,4]
[2,1,3,5,4]     => [5,1,2,4,3]
[2,1,4,3,5]     => [5,1,3,2,4]
[2,1,4,5,3]     => [5,1,3,4,2]
[2,1,5,3,4]     => [5,1,4,2,3]
[2,1,5,4,3]     => [5,1,4,3,2]
[2,3,1,4,5]     => [1,5,2,3,4]
[2,3,1,5,4]     => [1,5,2,4,3]
[2,3,4,1,5]     => [5,2,1,3,4]
[2,3,4,5,1]     => [5,2,3,1,4]
[2,3,5,1,4]     => [5,2,4,3,1]
[2,3,5,4,1]     => [5,2,1,4,3]
[2,4,1,3,5]     => [5,3,2,4,1]
[2,4,1,5,3]     => [1,5,3,4,2]
[2,4,3,1,5]     => [1,5,3,2,4]
[2,4,3,5,1]     => [5,3,2,1,4]
[2,4,5,1,3]     => [5,3,4,2,1]
[2,4,5,3,1]     => [5,3,1,4,2]
[2,5,1,3,4]     => [5,4,2,3,1]
[2,5,1,4,3]     => [5,4,3,1,2]
[2,5,3,1,4]     => [1,5,4,2,3]
[2,5,3,4,1]     => [5,4,2,1,3]
[2,5,4,1,3]     => [5,4,3,2,1]
[2,5,4,3,1]     => [1,5,4,3,2]
[3,1,2,4,5]     => [2,5,3,4,1]
[3,1,2,5,4]     => [2,5,4,1,3]
[3,1,4,2,5]     => [1,2,3,5,4]
[3,1,4,5,2]     => [1,2,3,4,5]
[3,1,5,2,4]     => [1,2,4,5,3]
[3,1,5,4,2]     => [1,2,4,3,5]
[3,2,1,4,5]     => [1,2,5,3,4]
[3,2,1,5,4]     => [1,2,5,4,3]
[3,2,4,1,5]     => [2,1,5,3,4]
[3,2,4,5,1]     => [2,5,3,1,4]
[3,2,5,1,4]     => [2,5,4,3,1]
[3,2,5,4,1]     => [2,1,5,4,3]
[3,4,1,2,5]     => [2,3,5,4,1]
[3,4,1,5,2]     => [2,1,3,4,5]
[3,4,2,1,5]     => [2,1,3,5,4]
[3,4,2,5,1]     => [2,3,1,5,4]
[3,4,5,1,2]     => [2,3,4,1,5]
[3,4,5,2,1]     => [2,3,1,4,5]
[3,5,1,2,4]     => [2,4,5,3,1]
[3,5,1,4,2]     => [2,4,3,5,1]
[3,5,2,1,4]     => [2,1,4,5,3]
[3,5,2,4,1]     => [2,4,1,5,3]
[3,5,4,1,2]     => [2,4,3,1,5]
[3,5,4,2,1]     => [2,1,4,3,5]
[4,1,2,3,5]     => [3,5,2,4,1]
[4,1,2,5,3]     => [3,5,4,1,2]
[4,1,3,2,5]     => [3,2,5,1,4]
[4,1,3,5,2]     => [3,2,4,5,1]
[4,1,5,2,3]     => [1,3,4,5,2]
[4,1,5,3,2]     => [1,3,4,2,5]
[4,2,1,3,5]     => [1,3,5,2,4]
[4,2,1,5,3]     => [1,3,5,4,2]
[4,2,3,1,5]     => [3,1,5,2,4]
[4,2,3,5,1]     => [3,5,2,1,4]
[4,2,5,1,3]     => [3,5,4,2,1]
[4,2,5,3,1]     => [3,1,5,4,2]
[4,3,1,2,5]     => [3,2,5,4,1]
[4,3,1,5,2]     => [1,3,2,4,5]
[4,3,2,1,5]     => [1,3,2,5,4]
[4,3,2,5,1]     => [3,2,1,5,4]
[4,3,5,1,2]     => [3,2,4,1,5]
[4,3,5,2,1]     => [3,2,1,4,5]
[4,5,1,2,3]     => [3,4,5,2,1]
[4,5,1,3,2]     => [3,4,2,5,1]
[4,5,2,1,3]     => [3,1,4,5,2]
[4,5,2,3,1]     => [3,4,1,5,2]
[4,5,3,1,2]     => [3,4,2,1,5]
[4,5,3,2,1]     => [3,1,4,2,5]
[5,1,2,3,4]     => [4,5,2,3,1]
[5,1,2,4,3]     => [4,5,3,1,2]
[5,1,3,2,4]     => [4,2,5,1,3]
[5,1,3,4,2]     => [4,2,3,5,1]
[5,1,4,2,3]     => [4,3,5,1,2]
[5,1,4,3,2]     => [4,3,1,2,5]
[5,2,1,3,4]     => [1,4,5,2,3]
[5,2,1,4,3]     => [1,4,5,3,2]
[5,2,3,1,4]     => [4,1,5,2,3]
[5,2,3,4,1]     => [4,5,2,1,3]
[5,2,4,1,3]     => [4,5,3,2,1]
[5,2,4,3,1]     => [4,1,5,3,2]
[5,3,1,2,4]     => [4,2,5,3,1]
[5,3,1,4,2]     => [1,4,2,3,5]
[5,3,2,1,4]     => [1,4,2,5,3]
[5,3,2,4,1]     => [4,2,1,5,3]
[5,3,4,1,2]     => [4,2,3,1,5]
[5,3,4,2,1]     => [4,2,1,3,5]
[5,4,1,2,3]     => [4,3,5,2,1]
[5,4,1,3,2]     => [4,3,2,5,1]
[5,4,2,1,3]     => [1,4,3,5,2]
[5,4,2,3,1]     => [4,3,1,5,2]
[5,4,3,1,2]     => [4,3,2,1,5]
[5,4,3,2,1]     => [1,4,3,2,5]
[1,2,3,4,5,6]   => [6,2,3,4,5,1]
[1,2,3,4,6,5]   => [6,2,3,5,1,4]
[1,2,3,5,4,6]   => [6,2,4,1,3,5]
[1,2,3,5,6,4]   => [6,2,4,5,1,3]
[1,2,3,6,4,5]   => [6,2,5,1,3,4]
[1,2,3,6,5,4]   => [6,2,5,1,4,3]
[1,2,4,3,5,6]   => [6,3,1,2,4,5]
[1,2,4,3,6,5]   => [6,3,1,2,5,4]
[1,2,4,5,3,6]   => [6,3,4,1,2,5]
[1,2,4,5,6,3]   => [6,3,4,5,1,2]
[1,2,4,6,3,5]   => [6,3,5,1,2,4]
[1,2,4,6,5,3]   => [6,3,5,1,4,2]
[1,2,5,3,4,6]   => [6,4,1,2,3,5]
[1,2,5,3,6,4]   => [6,4,1,2,5,3]
[1,2,5,4,3,6]   => [6,4,1,3,2,5]
[1,2,5,4,6,3]   => [6,4,1,3,5,2]
[1,2,5,6,3,4]   => [6,4,5,1,2,3]
[1,2,5,6,4,3]   => [6,4,5,1,3,2]
[1,2,6,3,4,5]   => [6,5,1,2,3,4]
[1,2,6,3,5,4]   => [6,5,1,2,4,3]
[1,2,6,4,3,5]   => [6,5,1,3,2,4]
[1,2,6,4,5,3]   => [6,5,1,3,4,2]
[1,2,6,5,3,4]   => [6,5,1,4,2,3]
[1,2,6,5,4,3]   => [6,5,1,4,3,2]
[1,3,2,4,5,6]   => [2,6,1,3,4,5]
[1,3,2,4,6,5]   => [2,6,1,3,5,4]
[1,3,2,5,4,6]   => [2,6,1,4,3,5]
[1,3,2,5,6,4]   => [2,6,1,4,5,3]
[1,3,2,6,4,5]   => [2,6,1,5,3,4]
[1,3,2,6,5,4]   => [2,6,1,5,4,3]
[1,3,4,2,5,6]   => [2,3,6,1,4,5]
[1,3,4,2,6,5]   => [2,3,6,1,5,4]
[1,3,4,5,2,6]   => [2,3,4,6,1,5]
[1,3,4,5,6,2]   => [2,3,4,5,6,1]
[1,3,4,6,2,5]   => [2,3,5,6,1,4]
[1,3,4,6,5,2]   => [2,3,5,1,4,6]
[1,3,5,2,4,6]   => [2,4,6,1,3,5]
[1,3,5,2,6,4]   => [2,4,6,1,5,3]
[1,3,5,4,2,6]   => [2,4,1,3,6,5]
[1,3,5,4,6,2]   => [2,4,1,3,5,6]
[1,3,5,6,2,4]   => [2,4,5,6,1,3]
[1,3,5,6,4,2]   => [2,4,5,1,3,6]
[1,3,6,2,4,5]   => [2,5,6,1,3,4]
[1,3,6,2,5,4]   => [2,5,6,1,4,3]
[1,3,6,4,2,5]   => [2,5,1,3,6,4]
[1,3,6,4,5,2]   => [2,5,1,3,4,6]
[1,3,6,5,2,4]   => [2,5,1,4,6,3]
[1,3,6,5,4,2]   => [2,5,1,4,3,6]
[1,4,2,3,5,6]   => [3,6,1,2,4,5]
[1,4,2,3,6,5]   => [3,6,1,2,5,4]
[1,4,2,5,3,6]   => [3,6,1,4,2,5]
[1,4,2,5,6,3]   => [3,6,1,4,5,2]
[1,4,2,6,3,5]   => [3,6,1,5,2,4]
[1,4,2,6,5,3]   => [3,6,1,5,4,2]
[1,4,3,2,5,6]   => [3,1,2,6,4,5]
[1,4,3,2,6,5]   => [3,1,2,6,5,4]
[1,4,3,5,2,6]   => [3,1,2,4,6,5]
[1,4,3,5,6,2]   => [3,1,2,4,5,6]
[1,4,3,6,2,5]   => [3,1,2,5,6,4]
[1,4,3,6,5,2]   => [3,1,2,5,4,6]
[1,4,5,2,3,6]   => [3,4,6,1,2,5]
[1,4,5,2,6,3]   => [3,4,6,1,5,2]
[1,4,5,3,2,6]   => [3,4,1,2,6,5]
[1,4,5,3,6,2]   => [3,4,1,2,5,6]
[1,4,5,6,2,3]   => [3,4,5,6,1,2]
[1,4,5,6,3,2]   => [3,4,5,1,2,6]
[1,4,6,2,3,5]   => [3,5,6,1,2,4]
[1,4,6,2,5,3]   => [3,5,6,1,4,2]
[1,4,6,3,2,5]   => [3,5,1,2,6,4]
[1,4,6,3,5,2]   => [3,5,1,2,4,6]
[1,4,6,5,2,3]   => [3,5,1,4,6,2]
[1,4,6,5,3,2]   => [3,5,1,4,2,6]
[1,5,2,3,4,6]   => [4,6,1,2,3,5]
[1,5,2,3,6,4]   => [4,6,1,2,5,3]
[1,5,2,4,3,6]   => [4,6,1,3,2,5]
[1,5,2,4,6,3]   => [4,6,1,3,5,2]
[1,5,2,6,3,4]   => [4,6,1,5,2,3]
[1,5,2,6,4,3]   => [4,6,1,5,3,2]
[1,5,3,2,4,6]   => [4,1,2,6,3,5]
[1,5,3,2,6,4]   => [4,1,2,6,5,3]
[1,5,3,4,2,6]   => [4,1,2,3,6,5]
[1,5,3,4,6,2]   => [4,1,2,3,5,6]
[1,5,3,6,2,4]   => [4,1,2,5,6,3]
[1,5,3,6,4,2]   => [4,1,2,5,3,6]
[1,5,4,2,3,6]   => [4,1,3,6,2,5]
[1,5,4,2,6,3]   => [4,1,3,6,5,2]
[1,5,4,3,2,6]   => [4,1,3,2,6,5]
[1,5,4,3,6,2]   => [4,1,3,2,5,6]
[1,5,4,6,2,3]   => [4,1,3,5,6,2]
[1,5,4,6,3,2]   => [4,1,3,5,2,6]
[1,5,6,2,3,4]   => [4,5,6,1,2,3]
[1,5,6,2,4,3]   => [4,5,6,1,3,2]
[1,5,6,3,2,4]   => [4,5,1,2,6,3]
[1,5,6,3,4,2]   => [4,5,1,2,3,6]
[1,5,6,4,2,3]   => [4,5,1,3,6,2]
[1,5,6,4,3,2]   => [4,5,1,3,2,6]
[1,6,2,3,4,5]   => [5,6,1,2,3,4]
[1,6,2,3,5,4]   => [5,6,1,2,4,3]
[1,6,2,4,3,5]   => [5,6,1,3,2,4]
[1,6,2,4,5,3]   => [5,6,1,3,4,2]
[1,6,2,5,3,4]   => [5,6,1,4,2,3]
[1,6,2,5,4,3]   => [5,6,1,4,3,2]
[1,6,3,2,4,5]   => [5,1,2,6,3,4]
[1,6,3,2,5,4]   => [5,1,2,6,4,3]
[1,6,3,4,2,5]   => [5,1,2,3,6,4]
[1,6,3,4,5,2]   => [5,1,2,3,4,6]
[1,6,3,5,2,4]   => [5,1,2,4,6,3]
[1,6,3,5,4,2]   => [5,1,2,4,3,6]
[1,6,4,2,3,5]   => [5,1,3,6,2,4]
[1,6,4,2,5,3]   => [5,1,3,6,4,2]
[1,6,4,3,2,5]   => [5,1,3,2,6,4]
[1,6,4,3,5,2]   => [5,1,3,2,4,6]
[1,6,4,5,2,3]   => [5,1,3,4,6,2]
[1,6,4,5,3,2]   => [5,1,3,4,2,6]
[1,6,5,2,3,4]   => [5,1,4,6,2,3]
[1,6,5,2,4,3]   => [5,1,4,6,3,2]
[1,6,5,3,2,4]   => [5,1,4,2,6,3]
[1,6,5,3,4,2]   => [5,1,4,2,3,6]
[1,6,5,4,2,3]   => [5,1,4,3,6,2]
[1,6,5,4,3,2]   => [5,1,4,3,2,6]
[2,1,3,4,5,6]   => [6,1,2,3,4,5]
[2,1,3,4,6,5]   => [6,1,2,3,5,4]
[2,1,3,5,4,6]   => [6,1,2,4,3,5]
[2,1,3,5,6,4]   => [6,1,2,4,5,3]
[2,1,3,6,4,5]   => [6,1,2,5,3,4]
[2,1,3,6,5,4]   => [6,1,2,5,4,3]
[2,1,4,3,5,6]   => [6,1,3,2,4,5]
[2,1,4,3,6,5]   => [6,1,3,2,5,4]
[2,1,4,5,3,6]   => [6,1,3,4,2,5]
[2,1,4,5,6,3]   => [6,1,3,4,5,2]
[2,1,4,6,3,5]   => [6,1,3,5,2,4]
[2,1,4,6,5,3]   => [6,1,3,5,4,2]
[2,1,5,3,4,6]   => [6,1,4,2,3,5]
[2,1,5,3,6,4]   => [6,1,4,2,5,3]
[2,1,5,4,3,6]   => [6,1,4,3,2,5]
[2,1,5,4,6,3]   => [6,1,4,3,5,2]
[2,1,5,6,3,4]   => [6,1,4,5,2,3]
[2,1,5,6,4,3]   => [6,1,4,5,3,2]
[2,1,6,3,4,5]   => [6,1,5,2,3,4]
[2,1,6,3,5,4]   => [6,1,5,2,4,3]
[2,1,6,4,3,5]   => [6,1,5,3,2,4]
[2,1,6,4,5,3]   => [6,1,5,3,4,2]
[2,1,6,5,3,4]   => [6,1,5,4,2,3]
[2,1,6,5,4,3]   => [6,1,5,4,3,2]
[2,3,1,4,5,6]   => [1,6,2,3,4,5]
[2,3,1,4,6,5]   => [1,6,2,3,5,4]
[2,3,1,5,4,6]   => [1,6,2,4,3,5]
[2,3,1,5,6,4]   => [1,6,2,4,5,3]
[2,3,1,6,4,5]   => [1,6,2,5,3,4]
[2,3,1,6,5,4]   => [1,6,2,5,4,3]
[2,3,4,1,5,6]   => [6,2,1,3,4,5]
[2,3,4,1,6,5]   => [6,2,1,3,5,4]
[2,3,4,5,1,6]   => [6,2,3,1,4,5]
[2,3,4,5,6,1]   => [6,2,3,4,1,5]
[2,3,4,6,1,5]   => [6,2,3,5,4,1]
[2,3,4,6,5,1]   => [6,2,3,1,5,4]
[2,3,5,1,4,6]   => [6,2,4,3,5,1]
[2,3,5,1,6,4]   => [6,2,1,4,5,3]
[2,3,5,4,1,6]   => [6,2,1,4,3,5]
[2,3,5,4,6,1]   => [6,2,4,3,1,5]
[2,3,5,6,1,4]   => [6,2,4,5,3,1]
[2,3,5,6,4,1]   => [6,2,4,1,5,3]
[2,3,6,1,4,5]   => [6,2,5,3,4,1]
[2,3,6,1,5,4]   => [6,2,5,4,1,3]
[2,3,6,4,1,5]   => [6,2,1,5,3,4]
[2,3,6,4,5,1]   => [6,2,5,3,1,4]
[2,3,6,5,1,4]   => [6,2,5,4,3,1]
[2,3,6,5,4,1]   => [6,2,1,5,4,3]
[2,4,1,3,5,6]   => [6,3,2,4,5,1]
[2,4,1,3,6,5]   => [6,3,2,5,1,4]
[2,4,1,5,3,6]   => [1,6,3,4,2,5]
[2,4,1,5,6,3]   => [1,6,3,4,5,2]
[2,4,1,6,3,5]   => [1,6,3,5,2,4]
[2,4,1,6,5,3]   => [1,6,3,5,4,2]
[2,4,3,1,5,6]   => [1,6,3,2,4,5]
[2,4,3,1,6,5]   => [1,6,3,2,5,4]
[2,4,3,5,1,6]   => [6,3,2,1,4,5]
[2,4,3,5,6,1]   => [6,3,2,4,1,5]
[2,4,3,6,1,5]   => [6,3,2,5,4,1]
[2,4,3,6,5,1]   => [6,3,2,1,5,4]
[2,4,5,1,3,6]   => [6,3,4,2,5,1]
[2,4,5,1,6,3]   => [6,3,1,4,5,2]
[2,4,5,3,1,6]   => [6,3,1,4,2,5]
[2,4,5,3,6,1]   => [6,3,4,2,1,5]
[2,4,5,6,1,3]   => [6,3,4,5,2,1]
[2,4,5,6,3,1]   => [6,3,4,1,5,2]
[2,4,6,1,3,5]   => [6,3,5,2,4,1]
[2,4,6,1,5,3]   => [6,3,5,4,1,2]
[2,4,6,3,1,5]   => [6,3,1,5,2,4]
[2,4,6,3,5,1]   => [6,3,5,2,1,4]
[2,4,6,5,1,3]   => [6,3,5,4,2,1]
[2,4,6,5,3,1]   => [6,3,1,5,4,2]
[2,5,1,3,4,6]   => [6,4,2,3,5,1]
[2,5,1,3,6,4]   => [6,4,2,5,1,3]
[2,5,1,4,3,6]   => [6,4,3,1,2,5]
[2,5,1,4,6,3]   => [6,4,3,5,1,2]
[2,5,1,6,3,4]   => [1,6,4,5,2,3]
[2,5,1,6,4,3]   => [1,6,4,5,3,2]
[2,5,3,1,4,6]   => [1,6,4,2,3,5]
[2,5,3,1,6,4]   => [1,6,4,2,5,3]
[2,5,3,4,1,6]   => [6,4,2,1,3,5]
[2,5,3,4,6,1]   => [6,4,2,3,1,5]
[2,5,3,6,1,4]   => [6,4,2,5,3,1]
[2,5,3,6,4,1]   => [6,4,2,1,5,3]
[2,5,4,1,3,6]   => [6,4,3,2,5,1]
[2,5,4,1,6,3]   => [1,6,4,3,5,2]
[2,5,4,3,1,6]   => [1,6,4,3,2,5]
[2,5,4,3,6,1]   => [6,4,3,2,1,5]
[2,5,4,6,1,3]   => [6,4,3,5,2,1]
[2,5,4,6,3,1]   => [6,4,3,1,5,2]
[2,5,6,1,3,4]   => [6,4,5,2,3,1]
[2,5,6,1,4,3]   => [6,4,5,3,1,2]
[2,5,6,3,1,4]   => [6,4,1,5,2,3]
[2,5,6,3,4,1]   => [6,4,5,2,1,3]
[2,5,6,4,1,3]   => [6,4,5,3,2,1]
[2,5,6,4,3,1]   => [6,4,1,5,3,2]
[2,6,1,3,4,5]   => [6,5,2,3,4,1]
[2,6,1,3,5,4]   => [6,5,2,4,1,3]
[2,6,1,4,3,5]   => [6,5,3,1,2,4]
[2,6,1,4,5,3]   => [6,5,3,4,1,2]
[2,6,1,5,3,4]   => [6,5,4,1,2,3]
[2,6,1,5,4,3]   => [6,5,4,1,3,2]
[2,6,3,1,4,5]   => [1,6,5,2,3,4]
[2,6,3,1,5,4]   => [1,6,5,2,4,3]
[2,6,3,4,1,5]   => [6,5,2,1,3,4]
[2,6,3,4,5,1]   => [6,5,2,3,1,4]
[2,6,3,5,1,4]   => [6,5,2,4,3,1]
[2,6,3,5,4,1]   => [6,5,2,1,4,3]
[2,6,4,1,3,5]   => [6,5,3,2,4,1]
[2,6,4,1,5,3]   => [1,6,5,3,4,2]
[2,6,4,3,1,5]   => [1,6,5,3,2,4]
[2,6,4,3,5,1]   => [6,5,3,2,1,4]
[2,6,4,5,1,3]   => [6,5,3,4,2,1]
[2,6,4,5,3,1]   => [6,5,3,1,4,2]
[2,6,5,1,3,4]   => [6,5,4,2,3,1]
[2,6,5,1,4,3]   => [6,5,4,3,1,2]
[2,6,5,3,1,4]   => [1,6,5,4,2,3]
[2,6,5,3,4,1]   => [6,5,4,2,1,3]
[2,6,5,4,1,3]   => [6,5,4,3,2,1]
[2,6,5,4,3,1]   => [1,6,5,4,3,2]
[3,1,2,4,5,6]   => [2,6,3,4,5,1]
[3,1,2,4,6,5]   => [2,6,3,5,1,4]
[3,1,2,5,4,6]   => [2,6,4,1,3,5]
[3,1,2,5,6,4]   => [2,6,4,5,1,3]
[3,1,2,6,4,5]   => [2,6,5,1,3,4]
[3,1,2,6,5,4]   => [2,6,5,1,4,3]
[3,1,4,2,5,6]   => [1,2,3,6,4,5]
[3,1,4,2,6,5]   => [1,2,3,6,5,4]
[3,1,4,5,2,6]   => [1,2,3,4,6,5]
[3,1,4,5,6,2]   => [1,2,3,4,5,6]
[3,1,4,6,2,5]   => [1,2,3,5,6,4]
[3,1,4,6,5,2]   => [1,2,3,5,4,6]
[3,1,5,2,4,6]   => [1,2,4,6,3,5]
[3,1,5,2,6,4]   => [1,2,4,6,5,3]
[3,1,5,4,2,6]   => [1,2,4,3,6,5]
[3,1,5,4,6,2]   => [1,2,4,3,5,6]
[3,1,5,6,2,4]   => [1,2,4,5,6,3]
[3,1,5,6,4,2]   => [1,2,4,5,3,6]
[3,1,6,2,4,5]   => [1,2,5,6,3,4]
[3,1,6,2,5,4]   => [1,2,5,6,4,3]
[3,1,6,4,2,5]   => [1,2,5,3,6,4]
[3,1,6,4,5,2]   => [1,2,5,3,4,6]
[3,1,6,5,2,4]   => [1,2,5,4,6,3]
[3,1,6,5,4,2]   => [1,2,5,4,3,6]
[3,2,1,4,5,6]   => [1,2,6,3,4,5]
[3,2,1,4,6,5]   => [1,2,6,3,5,4]
[3,2,1,5,4,6]   => [1,2,6,4,3,5]
[3,2,1,5,6,4]   => [1,2,6,4,5,3]
[3,2,1,6,4,5]   => [1,2,6,5,3,4]
[3,2,1,6,5,4]   => [1,2,6,5,4,3]
[3,2,4,1,5,6]   => [2,1,6,3,4,5]
[3,2,4,1,6,5]   => [2,1,6,3,5,4]
[3,2,4,5,1,6]   => [2,6,3,1,4,5]
[3,2,4,5,6,1]   => [2,6,3,4,1,5]
[3,2,4,6,1,5]   => [2,6,3,5,4,1]
[3,2,4,6,5,1]   => [2,6,3,1,5,4]
[3,2,5,1,4,6]   => [2,6,4,3,5,1]
[3,2,5,1,6,4]   => [2,1,6,4,5,3]
[3,2,5,4,1,6]   => [2,1,6,4,3,5]
[3,2,5,4,6,1]   => [2,6,4,3,1,5]
[3,2,5,6,1,4]   => [2,6,4,5,3,1]
[3,2,5,6,4,1]   => [2,6,4,1,5,3]
[3,2,6,1,4,5]   => [2,6,5,3,4,1]
[3,2,6,1,5,4]   => [2,6,5,4,1,3]
[3,2,6,4,1,5]   => [2,1,6,5,3,4]
[3,2,6,4,5,1]   => [2,6,5,3,1,4]
[3,2,6,5,1,4]   => [2,6,5,4,3,1]
[3,2,6,5,4,1]   => [2,1,6,5,4,3]
[3,4,1,2,5,6]   => [2,3,6,4,5,1]
[3,4,1,2,6,5]   => [2,3,6,5,1,4]
[3,4,1,5,2,6]   => [2,1,3,4,6,5]
[3,4,1,5,6,2]   => [2,1,3,4,5,6]
[3,4,1,6,2,5]   => [2,1,3,5,6,4]
[3,4,1,6,5,2]   => [2,1,3,5,4,6]
[3,4,2,1,5,6]   => [2,1,3,6,4,5]
[3,4,2,1,6,5]   => [2,1,3,6,5,4]
[3,4,2,5,1,6]   => [2,3,1,6,4,5]
[3,4,2,5,6,1]   => [2,3,6,4,1,5]
[3,4,2,6,1,5]   => [2,3,6,5,4,1]
[3,4,2,6,5,1]   => [2,3,1,6,5,4]
[3,4,5,1,2,6]   => [2,3,4,6,5,1]
[3,4,5,1,6,2]   => [2,3,1,4,5,6]
[3,4,5,2,1,6]   => [2,3,1,4,6,5]
[3,4,5,2,6,1]   => [2,3,4,1,6,5]
[3,4,5,6,1,2]   => [2,3,4,5,1,6]
[3,4,5,6,2,1]   => [2,3,4,1,5,6]
[3,4,6,1,2,5]   => [2,3,5,6,4,1]
[3,4,6,1,5,2]   => [2,3,5,4,6,1]
[3,4,6,2,1,5]   => [2,3,1,5,6,4]
[3,4,6,2,5,1]   => [2,3,5,1,6,4]
[3,4,6,5,1,2]   => [2,3,5,4,1,6]
[3,4,6,5,2,1]   => [2,3,1,5,4,6]
[3,5,1,2,4,6]   => [2,4,6,3,5,1]
[3,5,1,2,6,4]   => [2,4,6,5,1,3]
[3,5,1,4,2,6]   => [2,4,3,6,1,5]
[3,5,1,4,6,2]   => [2,4,3,5,6,1]
[3,5,1,6,2,4]   => [2,1,4,5,6,3]
[3,5,1,6,4,2]   => [2,1,4,5,3,6]
[3,5,2,1,4,6]   => [2,1,4,6,3,5]
[3,5,2,1,6,4]   => [2,1,4,6,5,3]
[3,5,2,4,1,6]   => [2,4,1,6,3,5]
[3,5,2,4,6,1]   => [2,4,6,3,1,5]
[3,5,2,6,1,4]   => [2,4,6,5,3,1]
[3,5,2,6,4,1]   => [2,4,1,6,5,3]
[3,5,4,1,2,6]   => [2,4,3,6,5,1]
[3,5,4,1,6,2]   => [2,1,4,3,5,6]
[3,5,4,2,1,6]   => [2,1,4,3,6,5]
[3,5,4,2,6,1]   => [2,4,3,1,6,5]
[3,5,4,6,1,2]   => [2,4,3,5,1,6]
[3,5,4,6,2,1]   => [2,4,3,1,5,6]
[3,5,6,1,2,4]   => [2,4,5,6,3,1]
[3,5,6,1,4,2]   => [2,4,5,3,6,1]
[3,5,6,2,1,4]   => [2,4,1,5,6,3]
[3,5,6,2,4,1]   => [2,4,5,1,6,3]
[3,5,6,4,1,2]   => [2,4,5,3,1,6]
[3,5,6,4,2,1]   => [2,4,1,5,3,6]
[3,6,1,2,4,5]   => [2,5,6,3,4,1]
[3,6,1,2,5,4]   => [2,5,6,4,1,3]
[3,6,1,4,2,5]   => [2,5,3,6,1,4]
[3,6,1,4,5,2]   => [2,5,3,4,6,1]
[3,6,1,5,2,4]   => [2,5,4,6,1,3]
[3,6,1,5,4,2]   => [2,5,4,1,3,6]
[3,6,2,1,4,5]   => [2,1,5,6,3,4]
[3,6,2,1,5,4]   => [2,1,5,6,4,3]
[3,6,2,4,1,5]   => [2,5,1,6,3,4]
[3,6,2,4,5,1]   => [2,5,6,3,1,4]
[3,6,2,5,1,4]   => [2,5,6,4,3,1]
[3,6,2,5,4,1]   => [2,5,1,6,4,3]
[3,6,4,1,2,5]   => [2,5,3,6,4,1]
[3,6,4,1,5,2]   => [2,1,5,3,4,6]
[3,6,4,2,1,5]   => [2,1,5,3,6,4]
[3,6,4,2,5,1]   => [2,5,3,1,6,4]
[3,6,4,5,1,2]   => [2,5,3,4,1,6]
[3,6,4,5,2,1]   => [2,5,3,1,4,6]
[3,6,5,1,2,4]   => [2,5,4,6,3,1]
[3,6,5,1,4,2]   => [2,5,4,3,6,1]
[3,6,5,2,1,4]   => [2,1,5,4,6,3]
[3,6,5,2,4,1]   => [2,5,4,1,6,3]
[3,6,5,4,1,2]   => [2,5,4,3,1,6]
[3,6,5,4,2,1]   => [2,1,5,4,3,6]
[4,1,2,3,5,6]   => [3,6,2,4,5,1]
[4,1,2,3,6,5]   => [3,6,2,5,1,4]
[4,1,2,5,3,6]   => [3,6,4,1,2,5]
[4,1,2,5,6,3]   => [3,6,4,5,1,2]
[4,1,2,6,3,5]   => [3,6,5,1,2,4]
[4,1,2,6,5,3]   => [3,6,5,1,4,2]
[4,1,3,2,5,6]   => [3,2,6,1,4,5]
[4,1,3,2,6,5]   => [3,2,6,1,5,4]
[4,1,3,5,2,6]   => [3,2,4,6,1,5]
[4,1,3,5,6,2]   => [3,2,4,5,6,1]
[4,1,3,6,2,5]   => [3,2,5,6,1,4]
[4,1,3,6,5,2]   => [3,2,5,1,4,6]
[4,1,5,2,3,6]   => [1,3,4,6,2,5]
[4,1,5,2,6,3]   => [1,3,4,6,5,2]
[4,1,5,3,2,6]   => [1,3,4,2,6,5]
[4,1,5,3,6,2]   => [1,3,4,2,5,6]
[4,1,5,6,2,3]   => [1,3,4,5,6,2]
[4,1,5,6,3,2]   => [1,3,4,5,2,6]
[4,1,6,2,3,5]   => [1,3,5,6,2,4]
[4,1,6,2,5,3]   => [1,3,5,6,4,2]
[4,1,6,3,2,5]   => [1,3,5,2,6,4]
[4,1,6,3,5,2]   => [1,3,5,2,4,6]
[4,1,6,5,2,3]   => [1,3,5,4,6,2]
[4,1,6,5,3,2]   => [1,3,5,4,2,6]
[4,2,1,3,5,6]   => [1,3,6,2,4,5]
[4,2,1,3,6,5]   => [1,3,6,2,5,4]
[4,2,1,5,3,6]   => [1,3,6,4,2,5]
[4,2,1,5,6,3]   => [1,3,6,4,5,2]
[4,2,1,6,3,5]   => [1,3,6,5,2,4]
[4,2,1,6,5,3]   => [1,3,6,5,4,2]
[4,2,3,1,5,6]   => [3,1,6,2,4,5]
[4,2,3,1,6,5]   => [3,1,6,2,5,4]
[4,2,3,5,1,6]   => [3,6,2,1,4,5]
[4,2,3,5,6,1]   => [3,6,2,4,1,5]
[4,2,3,6,1,5]   => [3,6,2,5,4,1]
[4,2,3,6,5,1]   => [3,6,2,1,5,4]
[4,2,5,1,3,6]   => [3,6,4,2,5,1]
[4,2,5,1,6,3]   => [3,1,6,4,5,2]
[4,2,5,3,1,6]   => [3,1,6,4,2,5]
[4,2,5,3,6,1]   => [3,6,4,2,1,5]
[4,2,5,6,1,3]   => [3,6,4,5,2,1]
[4,2,5,6,3,1]   => [3,6,4,1,5,2]
[4,2,6,1,3,5]   => [3,6,5,2,4,1]
[4,2,6,1,5,3]   => [3,6,5,4,1,2]
[4,2,6,3,1,5]   => [3,1,6,5,2,4]
[4,2,6,3,5,1]   => [3,6,5,2,1,4]
[4,2,6,5,1,3]   => [3,6,5,4,2,1]
[4,2,6,5,3,1]   => [3,1,6,5,4,2]
[4,3,1,2,5,6]   => [3,2,6,4,5,1]
[4,3,1,2,6,5]   => [3,2,6,5,1,4]
[4,3,1,5,2,6]   => [1,3,2,4,6,5]
[4,3,1,5,6,2]   => [1,3,2,4,5,6]
[4,3,1,6,2,5]   => [1,3,2,5,6,4]
[4,3,1,6,5,2]   => [1,3,2,5,4,6]
[4,3,2,1,5,6]   => [1,3,2,6,4,5]
[4,3,2,1,6,5]   => [1,3,2,6,5,4]
[4,3,2,5,1,6]   => [3,2,1,6,4,5]
[4,3,2,5,6,1]   => [3,2,6,4,1,5]
[4,3,2,6,1,5]   => [3,2,6,5,4,1]
[4,3,2,6,5,1]   => [3,2,1,6,5,4]
[4,3,5,1,2,6]   => [3,2,4,6,5,1]
[4,3,5,1,6,2]   => [3,2,1,4,5,6]
[4,3,5,2,1,6]   => [3,2,1,4,6,5]
[4,3,5,2,6,1]   => [3,2,4,1,6,5]
[4,3,5,6,1,2]   => [3,2,4,5,1,6]
[4,3,5,6,2,1]   => [3,2,4,1,5,6]
[4,3,6,1,2,5]   => [3,2,5,6,4,1]
[4,3,6,1,5,2]   => [3,2,5,4,6,1]
[4,3,6,2,1,5]   => [3,2,1,5,6,4]
[4,3,6,2,5,1]   => [3,2,5,1,6,4]
[4,3,6,5,1,2]   => [3,2,5,4,1,6]
[4,3,6,5,2,1]   => [3,2,1,5,4,6]
[4,5,1,2,3,6]   => [3,4,6,2,5,1]
[4,5,1,2,6,3]   => [3,4,6,5,1,2]
[4,5,1,3,2,6]   => [3,4,2,6,1,5]
[4,5,1,3,6,2]   => [3,4,2,5,6,1]
[4,5,1,6,2,3]   => [3,1,4,5,6,2]
[4,5,1,6,3,2]   => [3,1,4,5,2,6]
[4,5,2,1,3,6]   => [3,1,4,6,2,5]
[4,5,2,1,6,3]   => [3,1,4,6,5,2]
[4,5,2,3,1,6]   => [3,4,1,6,2,5]
[4,5,2,3,6,1]   => [3,4,6,2,1,5]
[4,5,2,6,1,3]   => [3,4,6,5,2,1]
[4,5,2,6,3,1]   => [3,4,1,6,5,2]
[4,5,3,1,2,6]   => [3,4,2,6,5,1]
[4,5,3,1,6,2]   => [3,1,4,2,5,6]
[4,5,3,2,1,6]   => [3,1,4,2,6,5]
[4,5,3,2,6,1]   => [3,4,2,1,6,5]
[4,5,3,6,1,2]   => [3,4,2,5,1,6]
[4,5,3,6,2,1]   => [3,4,2,1,5,6]
[4,5,6,1,2,3]   => [3,4,5,6,2,1]
[4,5,6,1,3,2]   => [3,4,5,2,6,1]
[4,5,6,2,1,3]   => [3,4,1,5,6,2]
[4,5,6,2,3,1]   => [3,4,5,1,6,2]
[4,5,6,3,1,2]   => [3,4,5,2,1,6]
[4,5,6,3,2,1]   => [3,4,1,5,2,6]
[4,6,1,2,3,5]   => [3,5,6,2,4,1]
[4,6,1,2,5,3]   => [3,5,6,4,1,2]
[4,6,1,3,2,5]   => [3,5,2,6,1,4]
[4,6,1,3,5,2]   => [3,5,2,4,6,1]
[4,6,1,5,2,3]   => [3,5,4,6,1,2]
[4,6,1,5,3,2]   => [3,5,4,1,2,6]
[4,6,2,1,3,5]   => [3,1,5,6,2,4]
[4,6,2,1,5,3]   => [3,1,5,6,4,2]
[4,6,2,3,1,5]   => [3,5,1,6,2,4]
[4,6,2,3,5,1]   => [3,5,6,2,1,4]
[4,6,2,5,1,3]   => [3,5,6,4,2,1]
[4,6,2,5,3,1]   => [3,5,1,6,4,2]
[4,6,3,1,2,5]   => [3,5,2,6,4,1]
[4,6,3,1,5,2]   => [3,1,5,2,4,6]
[4,6,3,2,1,5]   => [3,1,5,2,6,4]
[4,6,3,2,5,1]   => [3,5,2,1,6,4]
[4,6,3,5,1,2]   => [3,5,2,4,1,6]
[4,6,3,5,2,1]   => [3,5,2,1,4,6]
[4,6,5,1,2,3]   => [3,5,4,6,2,1]
[4,6,5,1,3,2]   => [3,5,4,2,6,1]
[4,6,5,2,1,3]   => [3,1,5,4,6,2]
[4,6,5,2,3,1]   => [3,5,4,1,6,2]
[4,6,5,3,1,2]   => [3,5,4,2,1,6]
[4,6,5,3,2,1]   => [3,1,5,4,2,6]
[5,1,2,3,4,6]   => [4,6,2,3,5,1]
[5,1,2,3,6,4]   => [4,6,2,5,1,3]
[5,1,2,4,3,6]   => [4,6,3,1,2,5]
[5,1,2,4,6,3]   => [4,6,3,5,1,2]
[5,1,2,6,3,4]   => [4,6,5,1,2,3]
[5,1,2,6,4,3]   => [4,6,5,1,3,2]
[5,1,3,2,4,6]   => [4,2,6,1,3,5]
[5,1,3,2,6,4]   => [4,2,6,1,5,3]
[5,1,3,4,2,6]   => [4,2,3,6,1,5]
[5,1,3,4,6,2]   => [4,2,3,5,6,1]
[5,1,3,6,2,4]   => [4,2,5,6,1,3]
[5,1,3,6,4,2]   => [4,2,5,1,3,6]
[5,1,4,2,3,6]   => [4,3,6,1,2,5]
[5,1,4,2,6,3]   => [4,3,6,1,5,2]
[5,1,4,3,2,6]   => [4,3,1,2,6,5]
[5,1,4,3,6,2]   => [4,3,1,2,5,6]
[5,1,4,6,2,3]   => [4,3,5,6,1,2]
[5,1,4,6,3,2]   => [4,3,5,1,2,6]
[5,1,6,2,3,4]   => [1,4,5,6,2,3]
[5,1,6,2,4,3]   => [1,4,5,6,3,2]
[5,1,6,3,2,4]   => [1,4,5,2,6,3]
[5,1,6,3,4,2]   => [1,4,5,2,3,6]
[5,1,6,4,2,3]   => [1,4,5,3,6,2]
[5,1,6,4,3,2]   => [1,4,5,3,2,6]
[5,2,1,3,4,6]   => [1,4,6,2,3,5]
[5,2,1,3,6,4]   => [1,4,6,2,5,3]
[5,2,1,4,3,6]   => [1,4,6,3,2,5]
[5,2,1,4,6,3]   => [1,4,6,3,5,2]
[5,2,1,6,3,4]   => [1,4,6,5,2,3]
[5,2,1,6,4,3]   => [1,4,6,5,3,2]
[5,2,3,1,4,6]   => [4,1,6,2,3,5]
[5,2,3,1,6,4]   => [4,1,6,2,5,3]
[5,2,3,4,1,6]   => [4,6,2,1,3,5]
[5,2,3,4,6,1]   => [4,6,2,3,1,5]
[5,2,3,6,1,4]   => [4,6,2,5,3,1]
[5,2,3,6,4,1]   => [4,6,2,1,5,3]
[5,2,4,1,3,6]   => [4,6,3,2,5,1]
[5,2,4,1,6,3]   => [4,1,6,3,5,2]
[5,2,4,3,1,6]   => [4,1,6,3,2,5]
[5,2,4,3,6,1]   => [4,6,3,2,1,5]
[5,2,4,6,1,3]   => [4,6,3,5,2,1]
[5,2,4,6,3,1]   => [4,6,3,1,5,2]
[5,2,6,1,3,4]   => [4,6,5,2,3,1]
[5,2,6,1,4,3]   => [4,6,5,3,1,2]
[5,2,6,3,1,4]   => [4,1,6,5,2,3]
[5,2,6,3,4,1]   => [4,6,5,2,1,3]
[5,2,6,4,1,3]   => [4,6,5,3,2,1]
[5,2,6,4,3,1]   => [4,1,6,5,3,2]
[5,3,1,2,4,6]   => [4,2,6,3,5,1]
[5,3,1,2,6,4]   => [4,2,6,5,1,3]
[5,3,1,4,2,6]   => [1,4,2,3,6,5]
[5,3,1,4,6,2]   => [1,4,2,3,5,6]
[5,3,1,6,2,4]   => [1,4,2,5,6,3]
[5,3,1,6,4,2]   => [1,4,2,5,3,6]
[5,3,2,1,4,6]   => [1,4,2,6,3,5]
[5,3,2,1,6,4]   => [1,4,2,6,5,3]
[5,3,2,4,1,6]   => [4,2,1,6,3,5]
[5,3,2,4,6,1]   => [4,2,6,3,1,5]
[5,3,2,6,1,4]   => [4,2,6,5,3,1]
[5,3,2,6,4,1]   => [4,2,1,6,5,3]
[5,3,4,1,2,6]   => [4,2,3,6,5,1]
[5,3,4,1,6,2]   => [4,2,1,3,5,6]
[5,3,4,2,1,6]   => [4,2,1,3,6,5]
[5,3,4,2,6,1]   => [4,2,3,1,6,5]
[5,3,4,6,1,2]   => [4,2,3,5,1,6]
[5,3,4,6,2,1]   => [4,2,3,1,5,6]
[5,3,6,1,2,4]   => [4,2,5,6,3,1]
[5,3,6,1,4,2]   => [4,2,5,3,6,1]
[5,3,6,2,1,4]   => [4,2,1,5,6,3]
[5,3,6,2,4,1]   => [4,2,5,1,6,3]
[5,3,6,4,1,2]   => [4,2,5,3,1,6]
[5,3,6,4,2,1]   => [4,2,1,5,3,6]
[5,4,1,2,3,6]   => [4,3,6,2,5,1]
[5,4,1,2,6,3]   => [4,3,6,5,1,2]
[5,4,1,3,2,6]   => [4,3,2,6,1,5]
[5,4,1,3,6,2]   => [4,3,2,5,6,1]
[5,4,1,6,2,3]   => [1,4,3,5,6,2]
[5,4,1,6,3,2]   => [1,4,3,5,2,6]
[5,4,2,1,3,6]   => [1,4,3,6,2,5]
[5,4,2,1,6,3]   => [1,4,3,6,5,2]
[5,4,2,3,1,6]   => [4,3,1,6,2,5]
[5,4,2,3,6,1]   => [4,3,6,2,1,5]
[5,4,2,6,1,3]   => [4,3,6,5,2,1]
[5,4,2,6,3,1]   => [4,3,1,6,5,2]
[5,4,3,1,2,6]   => [4,3,2,6,5,1]
[5,4,3,1,6,2]   => [1,4,3,2,5,6]
[5,4,3,2,1,6]   => [1,4,3,2,6,5]
[5,4,3,2,6,1]   => [4,3,2,1,6,5]
[5,4,3,6,1,2]   => [4,3,2,5,1,6]
[5,4,3,6,2,1]   => [4,3,2,1,5,6]
[5,4,6,1,2,3]   => [4,3,5,6,2,1]
[5,4,6,1,3,2]   => [4,3,5,2,6,1]
[5,4,6,2,1,3]   => [4,3,1,5,6,2]
[5,4,6,2,3,1]   => [4,3,5,1,6,2]
[5,4,6,3,1,2]   => [4,3,5,2,1,6]
[5,4,6,3,2,1]   => [4,3,1,5,2,6]
[5,6,1,2,3,4]   => [4,5,6,2,3,1]
[5,6,1,2,4,3]   => [4,5,6,3,1,2]
[5,6,1,3,2,4]   => [4,5,2,6,1,3]
[5,6,1,3,4,2]   => [4,5,2,3,6,1]
[5,6,1,4,2,3]   => [4,5,3,6,1,2]
[5,6,1,4,3,2]   => [4,5,3,1,2,6]
[5,6,2,1,3,4]   => [4,1,5,6,2,3]
[5,6,2,1,4,3]   => [4,1,5,6,3,2]
[5,6,2,3,1,4]   => [4,5,1,6,2,3]
[5,6,2,3,4,1]   => [4,5,6,2,1,3]
[5,6,2,4,1,3]   => [4,5,6,3,2,1]
[5,6,2,4,3,1]   => [4,5,1,6,3,2]
[5,6,3,1,2,4]   => [4,5,2,6,3,1]
[5,6,3,1,4,2]   => [4,1,5,2,3,6]
[5,6,3,2,1,4]   => [4,1,5,2,6,3]
[5,6,3,2,4,1]   => [4,5,2,1,6,3]
[5,6,3,4,1,2]   => [4,5,2,3,1,6]
[5,6,3,4,2,1]   => [4,5,2,1,3,6]
[5,6,4,1,2,3]   => [4,5,3,6,2,1]
[5,6,4,1,3,2]   => [4,5,3,2,6,1]
[5,6,4,2,1,3]   => [4,1,5,3,6,2]
[5,6,4,2,3,1]   => [4,5,3,1,6,2]
[5,6,4,3,1,2]   => [4,5,3,2,1,6]
[5,6,4,3,2,1]   => [4,1,5,3,2,6]
[6,1,2,3,4,5]   => [5,6,2,3,4,1]
[6,1,2,3,5,4]   => [5,6,2,4,1,3]
[6,1,2,4,3,5]   => [5,6,3,1,2,4]
[6,1,2,4,5,3]   => [5,6,3,4,1,2]
[6,1,2,5,3,4]   => [5,6,4,1,2,3]
[6,1,2,5,4,3]   => [5,6,4,1,3,2]
[6,1,3,2,4,5]   => [5,2,6,1,3,4]
[6,1,3,2,5,4]   => [5,2,6,1,4,3]
[6,1,3,4,2,5]   => [5,2,3,6,1,4]
[6,1,3,4,5,2]   => [5,2,3,4,6,1]
[6,1,3,5,2,4]   => [5,2,4,6,1,3]
[6,1,3,5,4,2]   => [5,2,4,1,3,6]
[6,1,4,2,3,5]   => [5,3,6,1,2,4]
[6,1,4,2,5,3]   => [5,3,6,1,4,2]
[6,1,4,3,2,5]   => [5,3,1,2,6,4]
[6,1,4,3,5,2]   => [5,3,1,2,4,6]
[6,1,4,5,2,3]   => [5,3,4,6,1,2]
[6,1,4,5,3,2]   => [5,3,4,1,2,6]
[6,1,5,2,3,4]   => [5,4,6,1,2,3]
[6,1,5,2,4,3]   => [5,4,6,1,3,2]
[6,1,5,3,2,4]   => [5,4,1,2,6,3]
[6,1,5,3,4,2]   => [5,4,1,2,3,6]
[6,1,5,4,2,3]   => [5,4,1,3,6,2]
[6,1,5,4,3,2]   => [5,4,1,3,2,6]
[6,2,1,3,4,5]   => [1,5,6,2,3,4]
[6,2,1,3,5,4]   => [1,5,6,2,4,3]
[6,2,1,4,3,5]   => [1,5,6,3,2,4]
[6,2,1,4,5,3]   => [1,5,6,3,4,2]
[6,2,1,5,3,4]   => [1,5,6,4,2,3]
[6,2,1,5,4,3]   => [1,5,6,4,3,2]
[6,2,3,1,4,5]   => [5,1,6,2,3,4]
[6,2,3,1,5,4]   => [5,1,6,2,4,3]
[6,2,3,4,1,5]   => [5,6,2,1,3,4]
[6,2,3,4,5,1]   => [5,6,2,3,1,4]
[6,2,3,5,1,4]   => [5,6,2,4,3,1]
[6,2,3,5,4,1]   => [5,6,2,1,4,3]
[6,2,4,1,3,5]   => [5,6,3,2,4,1]
[6,2,4,1,5,3]   => [5,1,6,3,4,2]
[6,2,4,3,1,5]   => [5,1,6,3,2,4]
[6,2,4,3,5,1]   => [5,6,3,2,1,4]
[6,2,4,5,1,3]   => [5,6,3,4,2,1]
[6,2,4,5,3,1]   => [5,6,3,1,4,2]
[6,2,5,1,3,4]   => [5,6,4,2,3,1]
[6,2,5,1,4,3]   => [5,6,4,3,1,2]
[6,2,5,3,1,4]   => [5,1,6,4,2,3]
[6,2,5,3,4,1]   => [5,6,4,2,1,3]
[6,2,5,4,1,3]   => [5,6,4,3,2,1]
[6,2,5,4,3,1]   => [5,1,6,4,3,2]
[6,3,1,2,4,5]   => [5,2,6,3,4,1]
[6,3,1,2,5,4]   => [5,2,6,4,1,3]
[6,3,1,4,2,5]   => [1,5,2,3,6,4]
[6,3,1,4,5,2]   => [1,5,2,3,4,6]
[6,3,1,5,2,4]   => [1,5,2,4,6,3]
[6,3,1,5,4,2]   => [1,5,2,4,3,6]
[6,3,2,1,4,5]   => [1,5,2,6,3,4]
[6,3,2,1,5,4]   => [1,5,2,6,4,3]
[6,3,2,4,1,5]   => [5,2,1,6,3,4]
[6,3,2,4,5,1]   => [5,2,6,3,1,4]
[6,3,2,5,1,4]   => [5,2,6,4,3,1]
[6,3,2,5,4,1]   => [5,2,1,6,4,3]
[6,3,4,1,2,5]   => [5,2,3,6,4,1]
[6,3,4,1,5,2]   => [5,2,1,3,4,6]
[6,3,4,2,1,5]   => [5,2,1,3,6,4]
[6,3,4,2,5,1]   => [5,2,3,1,6,4]
[6,3,4,5,1,2]   => [5,2,3,4,1,6]
[6,3,4,5,2,1]   => [5,2,3,1,4,6]
[6,3,5,1,2,4]   => [5,2,4,6,3,1]
[6,3,5,1,4,2]   => [5,2,4,3,6,1]
[6,3,5,2,1,4]   => [5,2,1,4,6,3]
[6,3,5,2,4,1]   => [5,2,4,1,6,3]
[6,3,5,4,1,2]   => [5,2,4,3,1,6]
[6,3,5,4,2,1]   => [5,2,1,4,3,6]
[6,4,1,2,3,5]   => [5,3,6,2,4,1]
[6,4,1,2,5,3]   => [5,3,6,4,1,2]
[6,4,1,3,2,5]   => [5,3,2,6,1,4]
[6,4,1,3,5,2]   => [5,3,2,4,6,1]
[6,4,1,5,2,3]   => [1,5,3,4,6,2]
[6,4,1,5,3,2]   => [1,5,3,4,2,6]
[6,4,2,1,3,5]   => [1,5,3,6,2,4]
[6,4,2,1,5,3]   => [1,5,3,6,4,2]
[6,4,2,3,1,5]   => [5,3,1,6,2,4]
[6,4,2,3,5,1]   => [5,3,6,2,1,4]
[6,4,2,5,1,3]   => [5,3,6,4,2,1]
[6,4,2,5,3,1]   => [5,3,1,6,4,2]
[6,4,3,1,2,5]   => [5,3,2,6,4,1]
[6,4,3,1,5,2]   => [1,5,3,2,4,6]
[6,4,3,2,1,5]   => [1,5,3,2,6,4]
[6,4,3,2,5,1]   => [5,3,2,1,6,4]
[6,4,3,5,1,2]   => [5,3,2,4,1,6]
[6,4,3,5,2,1]   => [5,3,2,1,4,6]
[6,4,5,1,2,3]   => [5,3,4,6,2,1]
[6,4,5,1,3,2]   => [5,3,4,2,6,1]
[6,4,5,2,1,3]   => [5,3,1,4,6,2]
[6,4,5,2,3,1]   => [5,3,4,1,6,2]
[6,4,5,3,1,2]   => [5,3,4,2,1,6]
[6,4,5,3,2,1]   => [5,3,1,4,2,6]
[6,5,1,2,3,4]   => [5,4,6,2,3,1]
[6,5,1,2,4,3]   => [5,4,6,3,1,2]
[6,5,1,3,2,4]   => [5,4,2,6,1,3]
[6,5,1,3,4,2]   => [5,4,2,3,6,1]
[6,5,1,4,2,3]   => [5,4,3,6,1,2]
[6,5,1,4,3,2]   => [5,4,3,1,2,6]
[6,5,2,1,3,4]   => [1,5,4,6,2,3]
[6,5,2,1,4,3]   => [1,5,4,6,3,2]
[6,5,2,3,1,4]   => [5,4,1,6,2,3]
[6,5,2,3,4,1]   => [5,4,6,2,1,3]
[6,5,2,4,1,3]   => [5,4,6,3,2,1]
[6,5,2,4,3,1]   => [5,4,1,6,3,2]
[6,5,3,1,2,4]   => [5,4,2,6,3,1]
[6,5,3,1,4,2]   => [1,5,4,2,3,6]
[6,5,3,2,1,4]   => [1,5,4,2,6,3]
[6,5,3,2,4,1]   => [5,4,2,1,6,3]
[6,5,3,4,1,2]   => [5,4,2,3,1,6]
[6,5,3,4,2,1]   => [5,4,2,1,3,6]
[6,5,4,1,2,3]   => [5,4,3,6,2,1]
[6,5,4,1,3,2]   => [5,4,3,2,6,1]
[6,5,4,2,1,3]   => [1,5,4,3,6,2]
[6,5,4,2,3,1]   => [5,4,3,1,6,2]
[6,5,4,3,1,2]   => [5,4,3,2,1,6]
[6,5,4,3,2,1]   => [1,5,4,3,2,6]
[1,2,3,4,5,6,7] => [7,2,3,4,5,6,1]
[1,2,3,4,5,7,6] => [7,2,3,4,6,1,5]
[1,2,3,4,6,5,7] => [7,2,3,5,1,4,6]
[1,2,3,4,6,7,5] => [7,2,3,5,6,1,4]
[1,2,3,4,7,5,6] => [7,2,3,6,1,4,5]
[1,2,3,4,7,6,5] => [7,2,3,6,1,5,4]
[1,2,3,5,4,6,7] => [7,2,4,1,3,5,6]
[1,2,3,5,4,7,6] => [7,2,4,1,3,6,5]
[1,2,3,5,6,4,7] => [7,2,4,5,1,3,6]
[1,2,3,5,6,7,4] => [7,2,4,5,6,1,3]
[1,2,3,5,7,4,6] => [7,2,4,6,1,3,5]
[1,2,3,5,7,6,4] => [7,2,4,6,1,5,3]
[1,2,3,6,4,5,7] => [7,2,5,1,3,4,6]
[1,2,3,6,4,7,5] => [7,2,5,1,3,6,4]
[1,2,3,6,5,4,7] => [7,2,5,1,4,3,6]
[1,2,3,6,5,7,4] => [7,2,5,1,4,6,3]
[1,2,3,6,7,4,5] => [7,2,5,6,1,3,4]
[1,2,3,6,7,5,4] => [7,2,5,6,1,4,3]
[1,2,3,7,4,5,6] => [7,2,6,1,3,4,5]
[1,2,3,7,4,6,5] => [7,2,6,1,3,5,4]
[1,2,3,7,5,4,6] => [7,2,6,1,4,3,5]
[1,2,3,7,5,6,4] => [7,2,6,1,4,5,3]
[1,2,3,7,6,4,5] => [7,2,6,1,5,3,4]
[1,2,3,7,6,5,4] => [7,2,6,1,5,4,3]
[1,2,4,3,5,6,7] => [7,3,1,2,4,5,6]
[1,2,4,3,5,7,6] => [7,3,1,2,4,6,5]
[1,2,4,3,6,5,7] => [7,3,1,2,5,4,6]
[1,2,4,3,6,7,5] => [7,3,1,2,5,6,4]
[1,2,4,3,7,5,6] => [7,3,1,2,6,4,5]
[1,2,4,3,7,6,5] => [7,3,1,2,6,5,4]
[1,2,4,5,3,6,7] => [7,3,4,1,2,5,6]
[1,2,4,5,3,7,6] => [7,3,4,1,2,6,5]
[1,2,4,5,6,3,7] => [7,3,4,5,1,2,6]
[1,2,4,5,6,7,3] => [7,3,4,5,6,1,2]
[1,2,4,5,7,3,6] => [7,3,4,6,1,2,5]
[1,2,4,5,7,6,3] => [7,3,4,6,1,5,2]
[1,2,4,6,3,5,7] => [7,3,5,1,2,4,6]
[1,2,4,6,3,7,5] => [7,3,5,1,2,6,4]
[1,2,4,6,5,3,7] => [7,3,5,1,4,2,6]
[1,2,4,6,5,7,3] => [7,3,5,1,4,6,2]
[1,2,4,6,7,3,5] => [7,3,5,6,1,2,4]
[1,2,4,6,7,5,3] => [7,3,5,6,1,4,2]
[1,2,4,7,3,5,6] => [7,3,6,1,2,4,5]
[1,2,4,7,3,6,5] => [7,3,6,1,2,5,4]
[1,2,4,7,5,3,6] => [7,3,6,1,4,2,5]
[1,2,4,7,5,6,3] => [7,3,6,1,4,5,2]
[1,2,4,7,6,3,5] => [7,3,6,1,5,2,4]
[1,2,4,7,6,5,3] => [7,3,6,1,5,4,2]
[1,2,5,3,4,6,7] => [7,4,1,2,3,5,6]
[1,2,5,3,4,7,6] => [7,4,1,2,3,6,5]
[1,2,5,3,6,4,7] => [7,4,1,2,5,3,6]
[1,2,5,3,6,7,4] => [7,4,1,2,5,6,3]
[1,2,5,3,7,4,6] => [7,4,1,2,6,3,5]
[1,2,5,3,7,6,4] => [7,4,1,2,6,5,3]
[1,2,5,4,3,6,7] => [7,4,1,3,2,5,6]
[1,2,5,4,3,7,6] => [7,4,1,3,2,6,5]
[1,2,5,4,6,3,7] => [7,4,1,3,5,2,6]
[1,2,5,4,6,7,3] => [7,4,1,3,5,6,2]
[1,2,5,4,7,3,6] => [7,4,1,3,6,2,5]
[1,2,5,4,7,6,3] => [7,4,1,3,6,5,2]
[1,2,5,6,3,4,7] => [7,4,5,1,2,3,6]
[1,2,5,6,3,7,4] => [7,4,5,1,2,6,3]
[1,2,5,6,4,3,7] => [7,4,5,1,3,2,6]
[1,2,5,6,4,7,3] => [7,4,5,1,3,6,2]
[1,2,5,6,7,3,4] => [7,4,5,6,1,2,3]
[1,2,5,6,7,4,3] => [7,4,5,6,1,3,2]
[1,2,5,7,3,4,6] => [7,4,6,1,2,3,5]
[1,2,5,7,3,6,4] => [7,4,6,1,2,5,3]
[1,2,5,7,4,3,6] => [7,4,6,1,3,2,5]
[1,2,5,7,4,6,3] => [7,4,6,1,3,5,2]
[1,2,5,7,6,3,4] => [7,4,6,1,5,2,3]
[1,2,5,7,6,4,3] => [7,4,6,1,5,3,2]
[1,2,6,3,4,5,7] => [7,5,1,2,3,4,6]
[1,2,6,3,4,7,5] => [7,5,1,2,3,6,4]
[1,2,6,3,5,4,7] => [7,5,1,2,4,3,6]
[1,2,6,3,5,7,4] => [7,5,1,2,4,6,3]
[1,2,6,3,7,4,5] => [7,5,1,2,6,3,4]
[1,2,6,3,7,5,4] => [7,5,1,2,6,4,3]
[1,2,6,4,3,5,7] => [7,5,1,3,2,4,6]
[1,2,6,4,3,7,5] => [7,5,1,3,2,6,4]
[1,2,6,4,5,3,7] => [7,5,1,3,4,2,6]
[1,2,6,4,5,7,3] => [7,5,1,3,4,6,2]
[1,2,6,4,7,3,5] => [7,5,1,3,6,2,4]
[1,2,6,4,7,5,3] => [7,5,1,3,6,4,2]
[1,2,6,5,3,4,7] => [7,5,1,4,2,3,6]
[1,2,6,5,3,7,4] => [7,5,1,4,2,6,3]
[1,2,6,5,4,3,7] => [7,5,1,4,3,2,6]
[1,2,6,5,4,7,3] => [7,5,1,4,3,6,2]
[1,2,6,5,7,3,4] => [7,5,1,4,6,2,3]
[1,2,6,5,7,4,3] => [7,5,1,4,6,3,2]
[1,2,6,7,3,4,5] => [7,5,6,1,2,3,4]
[1,2,6,7,3,5,4] => [7,5,6,1,2,4,3]
[1,2,6,7,4,3,5] => [7,5,6,1,3,2,4]
[1,2,6,7,4,5,3] => [7,5,6,1,3,4,2]
[1,2,6,7,5,3,4] => [7,5,6,1,4,2,3]
[1,2,6,7,5,4,3] => [7,5,6,1,4,3,2]
[1,2,7,3,4,5,6] => [7,6,1,2,3,4,5]
[1,2,7,3,4,6,5] => [7,6,1,2,3,5,4]
[1,2,7,3,5,4,6] => [7,6,1,2,4,3,5]
[1,2,7,3,5,6,4] => [7,6,1,2,4,5,3]
[1,2,7,3,6,4,5] => [7,6,1,2,5,3,4]
[1,2,7,3,6,5,4] => [7,6,1,2,5,4,3]
[1,2,7,4,3,5,6] => [7,6,1,3,2,4,5]
[1,2,7,4,3,6,5] => [7,6,1,3,2,5,4]
[1,2,7,4,5,3,6] => [7,6,1,3,4,2,5]
[1,2,7,4,5,6,3] => [7,6,1,3,4,5,2]
[1,2,7,4,6,3,5] => [7,6,1,3,5,2,4]
[1,2,7,4,6,5,3] => [7,6,1,3,5,4,2]
[1,2,7,5,3,4,6] => [7,6,1,4,2,3,5]
[1,2,7,5,3,6,4] => [7,6,1,4,2,5,3]
[1,2,7,5,4,3,6] => [7,6,1,4,3,2,5]
[1,2,7,5,4,6,3] => [7,6,1,4,3,5,2]
[1,2,7,5,6,3,4] => [7,6,1,4,5,2,3]
[1,2,7,5,6,4,3] => [7,6,1,4,5,3,2]
[1,2,7,6,3,4,5] => [7,6,1,5,2,3,4]
[1,2,7,6,3,5,4] => [7,6,1,5,2,4,3]
[1,2,7,6,4,3,5] => [7,6,1,5,3,2,4]
[1,2,7,6,4,5,3] => [7,6,1,5,3,4,2]
[1,2,7,6,5,3,4] => [7,6,1,5,4,2,3]
[1,2,7,6,5,4,3] => [7,6,1,5,4,3,2]
[1,3,2,4,5,6,7] => [2,7,1,3,4,5,6]
[1,3,2,4,5,7,6] => [2,7,1,3,4,6,5]
[1,3,2,4,6,5,7] => [2,7,1,3,5,4,6]
[1,3,2,4,6,7,5] => [2,7,1,3,5,6,4]
[1,3,2,4,7,5,6] => [2,7,1,3,6,4,5]
[1,3,2,4,7,6,5] => [2,7,1,3,6,5,4]
[1,3,2,5,4,6,7] => [2,7,1,4,3,5,6]
[1,3,2,5,4,7,6] => [2,7,1,4,3,6,5]
[1,3,2,5,6,4,7] => [2,7,1,4,5,3,6]
[1,3,2,5,6,7,4] => [2,7,1,4,5,6,3]
[1,3,2,5,7,4,6] => [2,7,1,4,6,3,5]
[1,3,2,5,7,6,4] => [2,7,1,4,6,5,3]
[1,3,2,6,4,5,7] => [2,7,1,5,3,4,6]
[1,3,2,6,4,7,5] => [2,7,1,5,3,6,4]
[1,3,2,6,5,4,7] => [2,7,1,5,4,3,6]
[1,3,2,6,5,7,4] => [2,7,1,5,4,6,3]
[1,3,2,6,7,4,5] => [2,7,1,5,6,3,4]
[1,3,2,6,7,5,4] => [2,7,1,5,6,4,3]
[1,3,2,7,4,5,6] => [2,7,1,6,3,4,5]
[1,3,2,7,4,6,5] => [2,7,1,6,3,5,4]
[1,3,2,7,5,4,6] => [2,7,1,6,4,3,5]
[1,3,2,7,5,6,4] => [2,7,1,6,4,5,3]
[1,3,2,7,6,4,5] => [2,7,1,6,5,3,4]
[1,3,2,7,6,5,4] => [2,7,1,6,5,4,3]
[1,3,4,2,5,6,7] => [2,3,7,1,4,5,6]
[1,3,4,2,5,7,6] => [2,3,7,1,4,6,5]
[1,3,4,2,6,5,7] => [2,3,7,1,5,4,6]
[1,3,4,2,6,7,5] => [2,3,7,1,5,6,4]
[1,3,4,2,7,5,6] => [2,3,7,1,6,4,5]
[1,3,4,2,7,6,5] => [2,3,7,1,6,5,4]
[1,3,4,5,2,6,7] => [2,3,4,7,1,5,6]
[1,3,4,5,2,7,6] => [2,3,4,7,1,6,5]
[1,3,4,5,6,2,7] => [2,3,4,5,7,1,6]
[1,3,4,5,6,7,2] => [2,3,4,5,6,7,1]
[1,3,4,5,7,2,6] => [2,3,4,6,7,1,5]
[1,3,4,5,7,6,2] => [2,3,4,6,1,5,7]
[1,3,4,6,2,5,7] => [2,3,5,7,1,4,6]
[1,3,4,6,2,7,5] => [2,3,5,7,1,6,4]
[1,3,4,6,5,2,7] => [2,3,5,1,4,7,6]
[1,3,4,6,5,7,2] => [2,3,5,1,4,6,7]
[1,3,4,6,7,2,5] => [2,3,5,6,7,1,4]
[1,3,4,6,7,5,2] => [2,3,5,6,1,4,7]
[1,3,4,7,2,5,6] => [2,3,6,7,1,4,5]
[1,3,4,7,2,6,5] => [2,3,6,7,1,5,4]
[1,3,4,7,5,2,6] => [2,3,6,1,4,7,5]
[1,3,4,7,5,6,2] => [2,3,6,1,4,5,7]
[1,3,4,7,6,2,5] => [2,3,6,1,5,7,4]
[1,3,4,7,6,5,2] => [2,3,6,1,5,4,7]
[1,3,5,2,4,6,7] => [2,4,7,1,3,5,6]
[1,3,5,2,4,7,6] => [2,4,7,1,3,6,5]
[1,3,5,2,6,4,7] => [2,4,7,1,5,3,6]
[1,3,5,2,6,7,4] => [2,4,7,1,5,6,3]
[1,3,5,2,7,4,6] => [2,4,7,1,6,3,5]
[1,3,5,2,7,6,4] => [2,4,7,1,6,5,3]
[1,3,5,4,2,6,7] => [2,4,1,3,7,5,6]
[1,3,5,4,2,7,6] => [2,4,1,3,7,6,5]
[1,3,5,4,6,2,7] => [2,4,1,3,5,7,6]
[1,3,5,4,6,7,2] => [2,4,1,3,5,6,7]
[1,3,5,4,7,2,6] => [2,4,1,3,6,7,5]
[1,3,5,4,7,6,2] => [2,4,1,3,6,5,7]
[1,3,5,6,2,4,7] => [2,4,5,7,1,3,6]
[1,3,5,6,2,7,4] => [2,4,5,7,1,6,3]
[1,3,5,6,4,2,7] => [2,4,5,1,3,7,6]
[1,3,5,6,4,7,2] => [2,4,5,1,3,6,7]
[1,3,5,6,7,2,4] => [2,4,5,6,7,1,3]
[1,3,5,6,7,4,2] => [2,4,5,6,1,3,7]
[1,3,5,7,2,4,6] => [2,4,6,7,1,3,5]
[1,3,5,7,2,6,4] => [2,4,6,7,1,5,3]
[1,3,5,7,4,2,6] => [2,4,6,1,3,7,5]
[1,3,5,7,4,6,2] => [2,4,6,1,3,5,7]
[1,3,5,7,6,2,4] => [2,4,6,1,5,7,3]
[1,3,5,7,6,4,2] => [2,4,6,1,5,3,7]
[1,3,6,2,4,5,7] => [2,5,7,1,3,4,6]
[1,3,6,2,4,7,5] => [2,5,7,1,3,6,4]
[1,3,6,2,5,4,7] => [2,5,7,1,4,3,6]
[1,3,6,2,5,7,4] => [2,5,7,1,4,6,3]
[1,3,6,2,7,4,5] => [2,5,7,1,6,3,4]
[1,3,6,2,7,5,4] => [2,5,7,1,6,4,3]
[1,3,6,4,2,5,7] => [2,5,1,3,7,4,6]
[1,3,6,4,2,7,5] => [2,5,1,3,7,6,4]
[1,3,6,4,5,2,7] => [2,5,1,3,4,7,6]
[1,3,6,4,5,7,2] => [2,5,1,3,4,6,7]
[1,3,6,4,7,2,5] => [2,5,1,3,6,7,4]
[1,3,6,4,7,5,2] => [2,5,1,3,6,4,7]
[1,3,6,5,2,4,7] => [2,5,1,4,7,3,6]
[1,3,6,5,2,7,4] => [2,5,1,4,7,6,3]
[1,3,6,5,4,2,7] => [2,5,1,4,3,7,6]
[1,3,6,5,4,7,2] => [2,5,1,4,3,6,7]
[1,3,6,5,7,2,4] => [2,5,1,4,6,7,3]
[1,3,6,5,7,4,2] => [2,5,1,4,6,3,7]
[1,3,6,7,2,4,5] => [2,5,6,7,1,3,4]
[1,3,6,7,2,5,4] => [2,5,6,7,1,4,3]
[1,3,6,7,4,2,5] => [2,5,6,1,3,7,4]
[1,3,6,7,4,5,2] => [2,5,6,1,3,4,7]
[1,3,6,7,5,2,4] => [2,5,6,1,4,7,3]
[1,3,6,7,5,4,2] => [2,5,6,1,4,3,7]
[1,3,7,2,4,5,6] => [2,6,7,1,3,4,5]
[1,3,7,2,4,6,5] => [2,6,7,1,3,5,4]
[1,3,7,2,5,4,6] => [2,6,7,1,4,3,5]
[1,3,7,2,5,6,4] => [2,6,7,1,4,5,3]
[1,3,7,2,6,4,5] => [2,6,7,1,5,3,4]
[1,3,7,2,6,5,4] => [2,6,7,1,5,4,3]
[1,3,7,4,2,5,6] => [2,6,1,3,7,4,5]
[1,3,7,4,2,6,5] => [2,6,1,3,7,5,4]
[1,3,7,4,5,2,6] => [2,6,1,3,4,7,5]
[1,3,7,4,5,6,2] => [2,6,1,3,4,5,7]
[1,3,7,4,6,2,5] => [2,6,1,3,5,7,4]
[1,3,7,4,6,5,2] => [2,6,1,3,5,4,7]
[1,3,7,5,2,4,6] => [2,6,1,4,7,3,5]
[1,3,7,5,2,6,4] => [2,6,1,4,7,5,3]
[1,3,7,5,4,2,6] => [2,6,1,4,3,7,5]
[1,3,7,5,4,6,2] => [2,6,1,4,3,5,7]
[1,3,7,5,6,2,4] => [2,6,1,4,5,7,3]
[1,3,7,5,6,4,2] => [2,6,1,4,5,3,7]
[1,3,7,6,2,4,5] => [2,6,1,5,7,3,4]
[1,3,7,6,2,5,4] => [2,6,1,5,7,4,3]
[1,3,7,6,4,2,5] => [2,6,1,5,3,7,4]
[1,3,7,6,4,5,2] => [2,6,1,5,3,4,7]
[1,3,7,6,5,2,4] => [2,6,1,5,4,7,3]
[1,3,7,6,5,4,2] => [2,6,1,5,4,3,7]
[1,4,2,3,5,6,7] => [3,7,1,2,4,5,6]
[1,4,2,3,5,7,6] => [3,7,1,2,4,6,5]
[1,4,2,3,6,5,7] => [3,7,1,2,5,4,6]
[1,4,2,3,6,7,5] => [3,7,1,2,5,6,4]
[1,4,2,3,7,5,6] => [3,7,1,2,6,4,5]
[1,4,2,3,7,6,5] => [3,7,1,2,6,5,4]
[1,4,2,5,3,6,7] => [3,7,1,4,2,5,6]
[1,4,2,5,3,7,6] => [3,7,1,4,2,6,5]
[1,4,2,5,6,3,7] => [3,7,1,4,5,2,6]
[1,4,2,5,6,7,3] => [3,7,1,4,5,6,2]
[1,4,2,5,7,3,6] => [3,7,1,4,6,2,5]
[1,4,2,5,7,6,3] => [3,7,1,4,6,5,2]
[1,4,2,6,3,5,7] => [3,7,1,5,2,4,6]
[1,4,2,6,3,7,5] => [3,7,1,5,2,6,4]
[1,4,2,6,5,3,7] => [3,7,1,5,4,2,6]
[1,4,2,6,5,7,3] => [3,7,1,5,4,6,2]
[1,4,2,6,7,3,5] => [3,7,1,5,6,2,4]
[1,4,2,6,7,5,3] => [3,7,1,5,6,4,2]
[1,4,2,7,3,5,6] => [3,7,1,6,2,4,5]
[1,4,2,7,3,6,5] => [3,7,1,6,2,5,4]
[1,4,2,7,5,3,6] => [3,7,1,6,4,2,5]
[1,4,2,7,5,6,3] => [3,7,1,6,4,5,2]
[1,4,2,7,6,3,5] => [3,7,1,6,5,2,4]
[1,4,2,7,6,5,3] => [3,7,1,6,5,4,2]
[1,4,3,2,5,6,7] => [3,1,2,7,4,5,6]
[1,4,3,2,5,7,6] => [3,1,2,7,4,6,5]
[1,4,3,2,6,5,7] => [3,1,2,7,5,4,6]
[1,4,3,2,6,7,5] => [3,1,2,7,5,6,4]
[1,4,3,2,7,5,6] => [3,1,2,7,6,4,5]
[1,4,3,2,7,6,5] => [3,1,2,7,6,5,4]
[1,4,3,5,2,6,7] => [3,1,2,4,7,5,6]
[1,4,3,5,2,7,6] => [3,1,2,4,7,6,5]
[1,4,3,5,6,2,7] => [3,1,2,4,5,7,6]
[1,4,3,5,6,7,2] => [3,1,2,4,5,6,7]
[1,4,3,5,7,2,6] => [3,1,2,4,6,7,5]
[1,4,3,5,7,6,2] => [3,1,2,4,6,5,7]
[1,4,3,6,2,5,7] => [3,1,2,5,7,4,6]
[1,4,3,6,2,7,5] => [3,1,2,5,7,6,4]
[1,4,3,6,5,2,7] => [3,1,2,5,4,7,6]
[1,4,3,6,5,7,2] => [3,1,2,5,4,6,7]
[1,4,3,6,7,2,5] => [3,1,2,5,6,7,4]
[1,4,3,6,7,5,2] => [3,1,2,5,6,4,7]
[1,4,3,7,2,5,6] => [3,1,2,6,7,4,5]
[1,4,3,7,2,6,5] => [3,1,2,6,7,5,4]
[1,4,3,7,5,2,6] => [3,1,2,6,4,7,5]
[1,4,3,7,5,6,2] => [3,1,2,6,4,5,7]
[1,4,3,7,6,2,5] => [3,1,2,6,5,7,4]
[1,4,3,7,6,5,2] => [3,1,2,6,5,4,7]
[1,4,5,2,3,6,7] => [3,4,7,1,2,5,6]
[1,4,5,2,3,7,6] => [3,4,7,1,2,6,5]
[1,4,5,2,6,3,7] => [3,4,7,1,5,2,6]
[1,4,5,2,6,7,3] => [3,4,7,1,5,6,2]
[1,4,5,2,7,3,6] => [3,4,7,1,6,2,5]
[1,4,5,2,7,6,3] => [3,4,7,1,6,5,2]
[1,4,5,3,2,6,7] => [3,4,1,2,7,5,6]
[1,4,5,3,2,7,6] => [3,4,1,2,7,6,5]
[1,4,5,3,6,2,7] => [3,4,1,2,5,7,6]
[1,4,5,3,6,7,2] => [3,4,1,2,5,6,7]
[1,4,5,3,7,2,6] => [3,4,1,2,6,7,5]
[1,4,5,3,7,6,2] => [3,4,1,2,6,5,7]
[1,4,5,6,2,3,7] => [3,4,5,7,1,2,6]
[1,4,5,6,2,7,3] => [3,4,5,7,1,6,2]
[1,4,5,6,3,2,7] => [3,4,5,1,2,7,6]
[1,4,5,6,3,7,2] => [3,4,5,1,2,6,7]
[1,4,5,6,7,2,3] => [3,4,5,6,7,1,2]
[1,4,5,6,7,3,2] => [3,4,5,6,1,2,7]
[1,4,5,7,2,3,6] => [3,4,6,7,1,2,5]
[1,4,5,7,2,6,3] => [3,4,6,7,1,5,2]
[1,4,5,7,3,2,6] => [3,4,6,1,2,7,5]
[1,4,5,7,3,6,2] => [3,4,6,1,2,5,7]
[1,4,5,7,6,2,3] => [3,4,6,1,5,7,2]
[1,4,5,7,6,3,2] => [3,4,6,1,5,2,7]
[1,4,6,2,3,5,7] => [3,5,7,1,2,4,6]
[1,4,6,2,3,7,5] => [3,5,7,1,2,6,4]
[1,4,6,2,5,3,7] => [3,5,7,1,4,2,6]
[1,4,6,2,5,7,3] => [3,5,7,1,4,6,2]
[1,4,6,2,7,3,5] => [3,5,7,1,6,2,4]
[1,4,6,2,7,5,3] => [3,5,7,1,6,4,2]
[1,4,6,3,2,5,7] => [3,5,1,2,7,4,6]
[1,4,6,3,2,7,5] => [3,5,1,2,7,6,4]
[1,4,6,3,5,2,7] => [3,5,1,2,4,7,6]
[1,4,6,3,5,7,2] => [3,5,1,2,4,6,7]
[1,4,6,3,7,2,5] => [3,5,1,2,6,7,4]
[1,4,6,3,7,5,2] => [3,5,1,2,6,4,7]
[1,4,6,5,2,3,7] => [3,5,1,4,7,2,6]
[1,4,6,5,2,7,3] => [3,5,1,4,7,6,2]
[1,4,6,5,3,2,7] => [3,5,1,4,2,7,6]

-----------------------------------------------------------------------------
Created: Aug 21, 2023 at 10:16 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Aug 21, 2023 at 10:16 by Martin Rubey