************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
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*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00254

------------------------------------------------------------------------
Map name: Inverse fireworks map

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

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

------------------------------------------------------------------------
Description: Sends a permutation to an inverse fireworks permutation.

A permutation $\sigma$ is ''inverse fireworks'' if its inverse avoids the vincular pattern $3-12$. The ''inverse fireworks map'' sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same ''Rajchgot index'' [[St001759]].

------------------------------------------------------------------------
References: [1]   Pechenik, O., E Speyer, D., Weigandt, A. Castelnuovo-Mumford regularity of matrix Schubert varieties [[arXiv:2111.10681]]

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

def mapping(w): 
    n=len(w)
    out=[]
    for k in range(n):
        for i in range(n):
            if i+1 not in out:
                count=0
                for j in range(i+1,n):
                    if w[j]>w[i] and j+1 not in out:
                        count=count+1
                if count==0: out= [i+1]+ out
    return Permutation(out).inverse()

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

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

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Created: Jul 04, 2022 at 22:59 by Oliver Pechenik and Anna Weigandt

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Last Updated: Jul 04, 2022 at 22:59 by Oliver Pechenik and Anna Weigandt