************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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*    useful, but WITHOUT ANY WARRANTY; without even the implied        *
*    warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00325

------------------------------------------------------------------------
Map name: ones to leading

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

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

------------------------------------------------------------------------
Description: The unique permutation obtained by applying the Foata-Riordan map to obtain a Prüfer code, then prepending zero and cyclically shifting.

Let $c_1,\dots, c_{n-1}$ be the Prüfer code obtained via the Foata-Riordan map described in [1, eq (1.2)] and let $c_0 = 0$.
This map returns the a unique permutation $q_1,\dots, q_n$ such that $q_i - c_{i-1}$ is constant modulo $n+1$.

This map is [[Mp00299]] restricted to permutations.

------------------------------------------------------------------------
References: [1]   Foata, D., Riordan, J. Mappings of acyclic and parking functions [[MathSciNet:0335294]]

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

def mapping(tau):
    if not tau:
        return tau

    n = len(tau)
    pi = tau.inverse()
    E = [(0, i) if c == 1 else (i, pi(c-1)) for i, c in enumerate(tau, 1)]
    V = list(range(n+1))
    G = Graph([V, E])
    c = []
    for _ in range(n-1):
        for u in V:
            if G.degree(u) == 1:
                c.append(G[u][0])
                G.delete_vertex(u)
                V.remove(u)
                break
    
    c = [0] + c
    c1 = [(e - pi(n)) % (n+1) for e in c]

    return Permutation(c1)

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

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

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Created: Aug 21, 2024 at 02:31 by Cyrus Young

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Last Updated: Mar 26, 2025 at 08:51 by Martin Rubey