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

------------------------------------------------------------------------
Map identifier: Mp00241

------------------------------------------------------------------------
Map name: invert Laguerre heap

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

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

------------------------------------------------------------------------
Description: The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.

Let $\pi$ be a permutation.  Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run.  Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.

This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.

Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.

By definition, this map preserves the set of decreasing runs.

------------------------------------------------------------------------
References: [1]   Viennot, Gérard X. Heaps of pieces. I. Basic definitions and combinatorial lemmas [[MathSciNet:0927773]]
[2]   Reading, N. Noncrossing arc diagrams and canonical join representations [[arXiv:1405.6904]]

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

def mapping(pi):
    n = len(pi)
    buffer = []
    heap = []
    for i in range(n):
        if not i or pi[i-1] > pi[i]:
            buffer.append(pi[i])
        else:
            heap.append(buffer[::-1])
            buffer = [pi[i]]
    if buffer:
        heap.append(buffer[::-1])
    heap = heap[::-1]
    # bubble sort pieces
    n = len(heap)
    while True:
        try:
            i = next(i for i in range(n-1) if heap[i][0] > heap[i+1][-1])
        except StopIteration:
            break
        heap[i], heap[i+1] = heap[i+1], heap[i]
    sigma = []
    while heap:
        m = []
        i = 0
        for e in heap:
            if (all(min(e) >= max(f) for f in m) or
                all(max(e) <= min(f) for f in m)):
                m.append(e)
                i += 1
            else:
                break
        heap = heap[i:]
        for e in sorted(m, key=min):
            sigma.extend(e[::-1])

    return Permutation(sigma)


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

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Created: Dec 03, 2021 at 00:11 by Martin Rubey

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Last Updated: Apr 18, 2022 at 18:58 by Nadia Lafreniere