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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
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-----------------------------------------------------------------------------
Statistic identifier: St001760

-----------------------------------------------------------------------------
Collection: Permutations

-----------------------------------------------------------------------------
Description: The number of prefix or suffix reversals needed to sort a permutation.

A prefix reversal in a permutation $\pi = [\pi_1,\ldots,\pi_n]$ is a reversal of an initial subsequence of the form $\operatorname{reversal}_{j}(\pi) = [\pi_j,\ldots,\pi_{1},\pi_{j+1},\ldots,\pi_n]$ for $1 < j \leq n$. Final reversals are defined analogously.

This statistic is then given by the minimal number of initial or final reversals needed to sort a permutation.

-----------------------------------------------------------------------------
References: [1]   The reversal length of a permutation. [[St000670]]
[2]   Hunter, Z. Variant of the pancake problem [[MathOverflow:413359]]

-----------------------------------------------------------------------------
Code:
def children(pi):
    pi = list(pi)
    n = len(pi)
    for j in range(n):
        for i in range(j):
            if i == 0 or j == n-1:
                yield Permutation(pi[:i]+list(reversed(pi[i:j+1]))+pi[j+1:])

@cached_function
def statistic_classes(n):
    A = RecursivelyEnumeratedSet([Permutation([1..n])], children,structure='symmetric')
    return list(A.graded_component_iterator())

def statistic(pi):
    comps = statistic_classes(len(pi))
    for rank,comp in enumerate(comps):
        if pi in comp:
            return rank

-----------------------------------------------------------------------------
Statistic values:

[1]             => 0
[1,2]           => 0
[2,1]           => 1
[1,2,3]         => 0
[1,3,2]         => 1
[2,1,3]         => 1
[2,3,1]         => 2
[3,1,2]         => 2
[3,2,1]         => 1
[1,2,3,4]       => 0
[1,2,4,3]       => 1
[1,3,2,4]       => 3
[1,3,4,2]       => 2
[1,4,2,3]       => 2
[1,4,3,2]       => 1
[2,1,3,4]       => 1
[2,1,4,3]       => 2
[2,3,1,4]       => 2
[2,3,4,1]       => 2
[2,4,1,3]       => 3
[2,4,3,1]       => 2
[3,1,2,4]       => 2
[3,1,4,2]       => 3
[3,2,1,4]       => 1
[3,2,4,1]       => 2
[3,4,1,2]       => 2
[3,4,2,1]       => 2
[4,1,2,3]       => 2
[4,1,3,2]       => 2
[4,2,1,3]       => 2
[4,2,3,1]       => 3
[4,3,1,2]       => 2
[4,3,2,1]       => 1
[1,2,3,4,5]     => 0
[1,2,3,5,4]     => 1
[1,2,4,3,5]     => 3
[1,2,4,5,3]     => 2
[1,2,5,3,4]     => 2
[1,2,5,4,3]     => 1
[1,3,2,4,5]     => 3
[1,3,2,5,4]     => 3
[1,3,4,2,5]     => 3
[1,3,4,5,2]     => 2
[1,3,5,2,4]     => 4
[1,3,5,4,2]     => 3
[1,4,2,3,5]     => 3
[1,4,2,5,3]     => 4
[1,4,3,2,5]     => 3
[1,4,3,5,2]     => 3
[1,4,5,2,3]     => 3
[1,4,5,3,2]     => 2
[1,5,2,3,4]     => 2
[1,5,2,4,3]     => 3
[1,5,3,2,4]     => 3
[1,5,3,4,2]     => 3
[1,5,4,2,3]     => 2
[1,5,4,3,2]     => 1
[2,1,3,4,5]     => 1
[2,1,3,5,4]     => 2
[2,1,4,3,5]     => 3
[2,1,4,5,3]     => 3
[2,1,5,3,4]     => 3
[2,1,5,4,3]     => 2
[2,3,1,4,5]     => 2
[2,3,1,5,4]     => 3
[2,3,4,1,5]     => 2
[2,3,4,5,1]     => 2
[2,3,5,1,4]     => 3
[2,3,5,4,1]     => 3
[2,4,1,3,5]     => 4
[2,4,1,5,3]     => 4
[2,4,3,1,5]     => 3
[2,4,3,5,1]     => 4
[2,4,5,1,3]     => 3
[2,4,5,3,1]     => 3
[2,5,1,3,4]     => 3
[2,5,1,4,3]     => 3
[2,5,3,1,4]     => 4
[2,5,3,4,1]     => 4
[2,5,4,1,3]     => 3
[2,5,4,3,1]     => 2
[3,1,2,4,5]     => 2
[3,1,2,5,4]     => 3
[3,1,4,2,5]     => 4
[3,1,4,5,2]     => 3
[3,1,5,2,4]     => 4
[3,1,5,4,2]     => 3
[3,2,1,4,5]     => 1
[3,2,1,5,4]     => 2
[3,2,4,1,5]     => 3
[3,2,4,5,1]     => 3
[3,2,5,1,4]     => 3
[3,2,5,4,1]     => 2
[3,4,1,2,5]     => 3
[3,4,1,5,2]     => 3
[3,4,2,1,5]     => 2
[3,4,2,5,1]     => 3
[3,4,5,1,2]     => 2
[3,4,5,2,1]     => 2
[3,5,1,2,4]     => 3
[3,5,1,4,2]     => 4
[3,5,2,1,4]     => 3
[3,5,2,4,1]     => 4
[3,5,4,1,2]     => 2
[3,5,4,2,1]     => 3
[4,1,2,3,5]     => 2
[4,1,2,5,3]     => 3
[4,1,3,2,5]     => 3
[4,1,3,5,2]     => 4
[4,1,5,2,3]     => 3
[4,1,5,3,2]     => 3
[4,2,1,3,5]     => 3
[4,2,1,5,3]     => 3
[4,2,3,1,5]     => 3
[4,2,3,5,1]     => 4
[4,2,5,1,3]     => 4
[4,2,5,3,1]     => 4
[4,3,1,2,5]     => 2
[4,3,1,5,2]     => 3
[4,3,2,1,5]     => 1
[4,3,2,5,1]     => 2
[4,3,5,1,2]     => 2
[4,3,5,2,1]     => 3
[4,5,1,2,3]     => 2
[4,5,1,3,2]     => 2
[4,5,2,1,3]     => 2
[4,5,2,3,1]     => 3
[4,5,3,1,2]     => 3
[4,5,3,2,1]     => 2
[5,1,2,3,4]     => 2
[5,1,2,4,3]     => 3
[5,1,3,2,4]     => 4
[5,1,3,4,2]     => 4
[5,1,4,2,3]     => 3
[5,1,4,3,2]     => 2
[5,2,1,3,4]     => 3
[5,2,1,4,3]     => 2
[5,2,3,1,4]     => 4
[5,2,3,4,1]     => 3
[5,2,4,1,3]     => 4
[5,2,4,3,1]     => 3
[5,3,1,2,4]     => 3
[5,3,1,4,2]     => 4
[5,3,2,1,4]     => 2
[5,3,2,4,1]     => 3
[5,3,4,1,2]     => 3
[5,3,4,2,1]     => 4
[5,4,1,2,3]     => 2
[5,4,1,3,2]     => 3
[5,4,2,1,3]     => 3
[5,4,2,3,1]     => 4
[5,4,3,1,2]     => 2
[5,4,3,2,1]     => 1
[1,2,3,4,5,6]   => 0
[1,2,3,4,6,5]   => 1
[1,2,3,5,4,6]   => 3
[1,2,3,5,6,4]   => 2
[1,2,3,6,4,5]   => 2
[1,2,3,6,5,4]   => 1
[1,2,4,3,5,6]   => 3
[1,2,4,3,6,5]   => 3
[1,2,4,5,3,6]   => 3
[1,2,4,5,6,3]   => 2
[1,2,4,6,3,5]   => 4
[1,2,4,6,5,3]   => 3
[1,2,5,3,4,6]   => 3
[1,2,5,3,6,4]   => 4
[1,2,5,4,3,6]   => 3
[1,2,5,4,6,3]   => 3
[1,2,5,6,3,4]   => 3
[1,2,5,6,4,3]   => 2
[1,2,6,3,4,5]   => 2
[1,2,6,3,5,4]   => 3
[1,2,6,4,3,5]   => 3
[1,2,6,4,5,3]   => 4
[1,2,6,5,3,4]   => 2
[1,2,6,5,4,3]   => 1
[1,3,2,4,5,6]   => 3
[1,3,2,4,6,5]   => 4
[1,3,2,5,4,6]   => 4
[1,3,2,5,6,4]   => 4
[1,3,2,6,4,5]   => 4
[1,3,2,6,5,4]   => 3
[1,3,4,2,5,6]   => 3
[1,3,4,2,6,5]   => 3
[1,3,4,5,2,6]   => 3
[1,3,4,5,6,2]   => 2
[1,3,4,6,2,5]   => 4
[1,3,4,6,5,2]   => 3
[1,3,5,2,4,6]   => 5
[1,3,5,2,6,4]   => 5
[1,3,5,4,2,6]   => 4
[1,3,5,4,6,2]   => 5
[1,3,5,6,2,4]   => 4
[1,3,5,6,4,2]   => 4
[1,3,6,2,4,5]   => 4
[1,3,6,2,5,4]   => 4
[1,3,6,4,2,5]   => 5
[1,3,6,4,5,2]   => 4
[1,3,6,5,2,4]   => 4
[1,3,6,5,4,2]   => 3
[1,4,2,3,5,6]   => 3
[1,4,2,3,6,5]   => 3
[1,4,2,5,3,6]   => 5
[1,4,2,5,6,3]   => 4
[1,4,2,6,3,5]   => 5
[1,4,2,6,5,3]   => 4
[1,4,3,2,5,6]   => 3
[1,4,3,2,6,5]   => 4
[1,4,3,5,2,6]   => 4
[1,4,3,5,6,2]   => 3
[1,4,3,6,2,5]   => 5
[1,4,3,6,5,2]   => 4
[1,4,5,2,3,6]   => 3
[1,4,5,2,6,3]   => 4
[1,4,5,3,2,6]   => 4
[1,4,5,3,6,2]   => 4
[1,4,5,6,2,3]   => 3
[1,4,5,6,3,2]   => 2
[1,4,6,2,3,5]   => 4
[1,4,6,2,5,3]   => 5
[1,4,6,3,2,5]   => 4
[1,4,6,3,5,2]   => 5
[1,4,6,5,2,3]   => 4
[1,4,6,5,3,2]   => 3
[1,5,2,3,4,6]   => 3
[1,5,2,3,6,4]   => 4
[1,5,2,4,3,6]   => 4
[1,5,2,4,6,3]   => 5
[1,5,2,6,3,4]   => 4
[1,5,2,6,4,3]   => 4
[1,5,3,2,4,6]   => 4
[1,5,3,2,6,4]   => 5
[1,5,3,4,2,6]   => 5
[1,5,3,4,6,2]   => 4
[1,5,3,6,2,4]   => 5
[1,5,3,6,4,2]   => 5
[1,5,4,2,3,6]   => 4
[1,5,4,2,6,3]   => 4
[1,5,4,3,2,6]   => 3
[1,5,4,3,6,2]   => 3
[1,5,4,6,2,3]   => 4
[1,5,4,6,3,2]   => 3
[1,5,6,2,3,4]   => 3
[1,5,6,2,4,3]   => 4
[1,5,6,3,2,4]   => 4
[1,5,6,3,4,2]   => 3
[1,5,6,4,2,3]   => 3
[1,5,6,4,3,2]   => 2
[1,6,2,3,4,5]   => 2
[1,6,2,3,5,4]   => 3
[1,6,2,4,3,5]   => 5
[1,6,2,4,5,3]   => 4
[1,6,2,5,3,4]   => 4
[1,6,2,5,4,3]   => 3
[1,6,3,2,4,5]   => 3
[1,6,3,2,5,4]   => 4
[1,6,3,4,2,5]   => 4
[1,6,3,4,5,2]   => 3
[1,6,3,5,2,4]   => 5
[1,6,3,5,4,2]   => 4
[1,6,4,2,3,5]   => 4
[1,6,4,2,5,3]   => 5
[1,6,4,3,2,5]   => 3
[1,6,4,3,5,2]   => 4
[1,6,4,5,2,3]   => 3
[1,6,4,5,3,2]   => 4
[1,6,5,2,3,4]   => 2
[1,6,5,2,4,3]   => 3
[1,6,5,3,2,4]   => 3
[1,6,5,3,4,2]   => 4
[1,6,5,4,2,3]   => 2
[1,6,5,4,3,2]   => 1
[2,1,3,4,5,6]   => 1
[2,1,3,4,6,5]   => 2
[2,1,3,5,4,6]   => 4
[2,1,3,5,6,4]   => 3
[2,1,3,6,4,5]   => 3
[2,1,3,6,5,4]   => 2
[2,1,4,3,5,6]   => 3
[2,1,4,3,6,5]   => 4
[2,1,4,5,3,6]   => 3
[2,1,4,5,6,3]   => 3
[2,1,4,6,3,5]   => 4
[2,1,4,6,5,3]   => 4
[2,1,5,3,4,6]   => 3
[2,1,5,3,6,4]   => 4
[2,1,5,4,3,6]   => 4
[2,1,5,4,6,3]   => 4
[2,1,5,6,3,4]   => 3
[2,1,5,6,4,3]   => 3
[2,1,6,3,4,5]   => 3
[2,1,6,3,5,4]   => 4
[2,1,6,4,3,5]   => 4
[2,1,6,4,5,3]   => 3
[2,1,6,5,3,4]   => 3
[2,1,6,5,4,3]   => 2
[2,3,1,4,5,6]   => 2
[2,3,1,4,6,5]   => 3
[2,3,1,5,4,6]   => 4
[2,3,1,5,6,4]   => 4
[2,3,1,6,4,5]   => 4
[2,3,1,6,5,4]   => 3
[2,3,4,1,5,6]   => 2
[2,3,4,1,6,5]   => 3
[2,3,4,5,1,6]   => 2
[2,3,4,5,6,1]   => 2
[2,3,4,6,1,5]   => 3
[2,3,4,6,5,1]   => 3
[2,3,5,1,4,6]   => 4
[2,3,5,1,6,4]   => 4
[2,3,5,4,1,6]   => 3
[2,3,5,4,6,1]   => 4
[2,3,5,6,1,4]   => 4
[2,3,5,6,4,1]   => 4
[2,3,6,1,4,5]   => 4
[2,3,6,1,5,4]   => 3
[2,3,6,4,1,5]   => 4
[2,3,6,4,5,1]   => 4
[2,3,6,5,1,4]   => 3
[2,3,6,5,4,1]   => 3
[2,4,1,3,5,6]   => 4
[2,4,1,3,6,5]   => 4
[2,4,1,5,3,6]   => 5
[2,4,1,5,6,3]   => 4
[2,4,1,6,3,5]   => 5
[2,4,1,6,5,3]   => 4
[2,4,3,1,5,6]   => 3
[2,4,3,1,6,5]   => 4
[2,4,3,5,1,6]   => 5
[2,4,3,5,6,1]   => 4
[2,4,3,6,1,5]   => 5
[2,4,3,6,5,1]   => 4
[2,4,5,1,3,6]   => 4
[2,4,5,1,6,3]   => 4
[2,4,5,3,1,6]   => 4
[2,4,5,3,6,1]   => 5
[2,4,5,6,1,3]   => 3
[2,4,5,6,3,1]   => 3
[2,4,6,1,3,5]   => 5
[2,4,6,1,5,3]   => 5
[2,4,6,3,1,5]   => 5
[2,4,6,3,5,1]   => 5
[2,4,6,5,1,3]   => 4
[2,4,6,5,3,1]   => 4
[2,5,1,3,4,6]   => 4
[2,5,1,3,6,4]   => 5
[2,5,1,4,3,6]   => 5
[2,5,1,4,6,3]   => 5
[2,5,1,6,3,4]   => 4
[2,5,1,6,4,3]   => 4
[2,5,3,1,4,6]   => 5
[2,5,3,1,6,4]   => 5
[2,5,3,4,1,6]   => 4
[2,5,3,4,6,1]   => 5
[2,5,3,6,1,4]   => 5
[2,5,3,6,4,1]   => 5
[2,5,4,1,3,6]   => 4
[2,5,4,1,6,3]   => 5
[2,5,4,3,1,6]   => 3
[2,5,4,3,6,1]   => 4
[2,5,4,6,1,3]   => 4
[2,5,4,6,3,1]   => 4
[2,5,6,1,3,4]   => 3
[2,5,6,1,4,3]   => 4
[2,5,6,3,1,4]   => 4
[2,5,6,3,4,1]   => 4
[2,5,6,4,1,3]   => 4
[2,5,6,4,3,1]   => 3
[2,6,1,3,4,5]   => 3
[2,6,1,3,5,4]   => 4
[2,6,1,4,3,5]   => 5
[2,6,1,4,5,3]   => 4
[2,6,1,5,3,4]   => 4
[2,6,1,5,4,3]   => 3
[2,6,3,1,4,5]   => 4
[2,6,3,1,5,4]   => 4
[2,6,3,4,1,5]   => 4
[2,6,3,4,5,1]   => 4
[2,6,3,5,1,4]   => 5
[2,6,3,5,4,1]   => 4
[2,6,4,1,3,5]   => 5
[2,6,4,1,5,3]   => 5
[2,6,4,3,1,5]   => 4
[2,6,4,3,5,1]   => 4
[2,6,4,5,1,3]   => 4
[2,6,4,5,3,1]   => 5
[2,6,5,1,3,4]   => 3
[2,6,5,1,4,3]   => 3
[2,6,5,3,1,4]   => 4
[2,6,5,3,4,1]   => 4
[2,6,5,4,1,3]   => 3
[2,6,5,4,3,1]   => 2
[3,1,2,4,5,6]   => 2
[3,1,2,4,6,5]   => 3
[3,1,2,5,4,6]   => 4
[3,1,2,5,6,4]   => 4
[3,1,2,6,4,5]   => 4
[3,1,2,6,5,4]   => 3
[3,1,4,2,5,6]   => 4
[3,1,4,2,6,5]   => 4
[3,1,4,5,2,6]   => 4
[3,1,4,5,6,2]   => 3
[3,1,4,6,2,5]   => 5
[3,1,4,6,5,2]   => 4
[3,1,5,2,4,6]   => 5
[3,1,5,2,6,4]   => 5
[3,1,5,4,2,6]   => 5
[3,1,5,4,6,2]   => 5
[3,1,5,6,2,4]   => 4
[3,1,5,6,4,2]   => 4
[3,1,6,2,4,5]   => 4
[3,1,6,2,5,4]   => 4
[3,1,6,4,2,5]   => 5
[3,1,6,4,5,2]   => 4
[3,1,6,5,2,4]   => 4
[3,1,6,5,4,2]   => 3
[3,2,1,4,5,6]   => 1
[3,2,1,4,6,5]   => 2
[3,2,1,5,4,6]   => 3
[3,2,1,5,6,4]   => 3
[3,2,1,6,4,5]   => 3
[3,2,1,6,5,4]   => 2
[3,2,4,1,5,6]   => 3
[3,2,4,1,6,5]   => 4
[3,2,4,5,1,6]   => 3
[3,2,4,5,6,1]   => 3
[3,2,4,6,1,5]   => 4
[3,2,4,6,5,1]   => 4
[3,2,5,1,4,6]   => 4
[3,2,5,1,6,4]   => 4
[3,2,5,4,1,6]   => 4
[3,2,5,4,6,1]   => 4
[3,2,5,6,1,4]   => 3
[3,2,5,6,4,1]   => 3
[3,2,6,1,4,5]   => 3
[3,2,6,1,5,4]   => 4
[3,2,6,4,1,5]   => 4
[3,2,6,4,5,1]   => 4
[3,2,6,5,1,4]   => 3
[3,2,6,5,4,1]   => 2
[3,4,1,2,5,6]   => 3
[3,4,1,2,6,5]   => 3
[3,4,1,5,2,6]   => 4
[3,4,1,5,6,2]   => 4
[3,4,1,6,2,5]   => 4
[3,4,1,6,5,2]   => 3
[3,4,2,1,5,6]   => 2
[3,4,2,1,6,5]   => 3
[3,4,2,5,1,6]   => 4
[3,4,2,5,6,1]   => 4
[3,4,2,6,1,5]   => 4
[3,4,2,6,5,1]   => 3
[3,4,5,1,2,6]   => 3
[3,4,5,1,6,2]   => 3
[3,4,5,2,1,6]   => 2
[3,4,5,2,6,1]   => 3
[3,4,5,6,1,2]   => 2
[3,4,5,6,2,1]   => 2
[3,4,6,1,2,5]   => 3
[3,4,6,1,5,2]   => 4
[3,4,6,2,1,5]   => 3
[3,4,6,2,5,1]   => 4
[3,4,6,5,1,2]   => 3
[3,4,6,5,2,1]   => 3
[3,5,1,2,4,6]   => 4
[3,5,1,2,6,4]   => 4
[3,5,1,4,2,6]   => 5
[3,5,1,4,6,2]   => 5
[3,5,1,6,2,4]   => 5
[3,5,1,6,4,2]   => 5
[3,5,2,1,4,6]   => 4
[3,5,2,1,6,4]   => 4
[3,5,2,4,1,6]   => 5
[3,5,2,4,6,1]   => 5
[3,5,2,6,1,4]   => 5
[3,5,2,6,4,1]   => 5
[3,5,4,1,2,6]   => 4
[3,5,4,1,6,2]   => 4
[3,5,4,2,1,6]   => 3
[3,5,4,2,6,1]   => 4
[3,5,4,6,1,2]   => 4
[3,5,4,6,2,1]   => 5
[3,5,6,1,2,4]   => 4
[3,5,6,1,4,2]   => 4
[3,5,6,2,1,4]   => 3
[3,5,6,2,4,1]   => 4
[3,5,6,4,1,2]   => 3
[3,5,6,4,2,1]   => 4
[3,6,1,2,4,5]   => 4
[3,6,1,2,5,4]   => 3
[3,6,1,4,2,5]   => 5
[3,6,1,4,5,2]   => 4
[3,6,1,5,2,4]   => 5
[3,6,1,5,4,2]   => 4
[3,6,2,1,4,5]   => 3
[3,6,2,1,5,4]   => 3
[3,6,2,4,1,5]   => 5
[3,6,2,4,5,1]   => 4
[3,6,2,5,1,4]   => 5
[3,6,2,5,4,1]   => 4
[3,6,4,1,2,5]   => 4
[3,6,4,1,5,2]   => 5
[3,6,4,2,1,5]   => 4
[3,6,4,2,5,1]   => 5
[3,6,4,5,1,2]   => 4
[3,6,4,5,2,1]   => 4
[3,6,5,1,2,4]   => 3
[3,6,5,1,4,2]   => 4
[3,6,5,2,1,4]   => 3
[3,6,5,2,4,1]   => 4
[3,6,5,4,1,2]   => 2
[3,6,5,4,2,1]   => 3
[4,1,2,3,5,6]   => 2
[4,1,2,3,6,5]   => 3
[4,1,2,5,3,6]   => 4
[4,1,2,5,6,3]   => 4
[4,1,2,6,3,5]   => 4
[4,1,2,6,5,3]   => 3
[4,1,3,2,5,6]   => 3
[4,1,3,2,6,5]   => 4
[4,1,3,5,2,6]   => 5
[4,1,3,5,6,2]   => 4
[4,1,3,6,2,5]   => 5
[4,1,3,6,5,2]   => 4
[4,1,5,2,3,6]   => 4
[4,1,5,2,6,3]   => 5
[4,1,5,3,2,6]   => 4
[4,1,5,3,6,2]   => 5
[4,1,5,6,2,3]   => 3
[4,1,5,6,3,2]   => 3
[4,1,6,2,3,5]   => 4
[4,1,6,2,5,3]   => 5
[4,1,6,3,2,5]   => 5
[4,1,6,3,5,2]   => 5
[4,1,6,5,2,3]   => 4
[4,1,6,5,3,2]   => 3
[4,2,1,3,5,6]   => 3
[4,2,1,3,6,5]   => 4
[4,2,1,5,3,6]   => 4
[4,2,1,5,6,3]   => 3
[4,2,1,6,3,5]   => 4
[4,2,1,6,5,3]   => 4
[4,2,3,1,5,6]   => 4
[4,2,3,1,6,5]   => 3
[4,2,3,5,1,6]   => 4
[4,2,3,5,6,1]   => 4
[4,2,3,6,1,5]   => 4
[4,2,3,6,5,1]   => 4
[4,2,5,1,3,6]   => 5
[4,2,5,1,6,3]   => 5
[4,2,5,3,1,6]   => 5
[4,2,5,3,6,1]   => 5
[4,2,5,6,1,3]   => 4
[4,2,5,6,3,1]   => 4
[4,2,6,1,3,5]   => 5
[4,2,6,1,5,3]   => 5
[4,2,6,3,1,5]   => 5
[4,2,6,3,5,1]   => 5
[4,2,6,5,1,3]   => 4
[4,2,6,5,3,1]   => 4
[4,3,1,2,5,6]   => 2
[4,3,1,2,6,5]   => 3
[4,3,1,5,2,6]   => 4
[4,3,1,5,6,2]   => 3
[4,3,1,6,2,5]   => 4
[4,3,1,6,5,2]   => 3
[4,3,2,1,5,6]   => 1
[4,3,2,1,6,5]   => 2
[4,3,2,5,1,6]   => 3
[4,3,2,5,6,1]   => 3
[4,3,2,6,1,5]   => 3
[4,3,2,6,5,1]   => 2
[4,3,5,1,2,6]   => 4
[4,3,5,1,6,2]   => 4
[4,3,5,2,1,6]   => 3
[4,3,5,2,6,1]   => 4
[4,3,5,6,1,2]   => 3
[4,3,5,6,2,1]   => 3
[4,3,6,1,2,5]   => 4
[4,3,6,1,5,2]   => 4
[4,3,6,2,1,5]   => 3
[4,3,6,2,5,1]   => 4
[4,3,6,5,1,2]   => 2
[4,3,6,5,2,1]   => 3
[4,5,1,2,3,6]   => 3
[4,5,1,2,6,3]   => 3
[4,5,1,3,2,6]   => 4
[4,5,1,3,6,2]   => 4
[4,5,1,6,2,3]   => 4
[4,5,1,6,3,2]   => 3
[4,5,2,1,3,6]   => 4
[4,5,2,1,6,3]   => 4
[4,5,2,3,1,6]   => 3
[4,5,2,3,6,1]   => 4
[4,5,2,6,1,3]   => 4
[4,5,2,6,3,1]   => 4
[4,5,3,1,2,6]   => 3
[4,5,3,1,6,2]   => 4
[4,5,3,2,1,6]   => 2
[4,5,3,2,6,1]   => 3
[4,5,3,6,1,2]   => 3
[4,5,3,6,2,1]   => 4
[4,5,6,1,2,3]   => 3
[4,5,6,1,3,2]   => 2
[4,5,6,2,1,3]   => 2
[4,5,6,2,3,1]   => 3
[4,5,6,3,1,2]   => 3
[4,5,6,3,2,1]   => 2
[4,6,1,2,3,5]   => 3
[4,6,1,2,5,3]   => 4
[4,6,1,3,2,5]   => 4
[4,6,1,3,5,2]   => 5
[4,6,1,5,2,3]   => 4
[4,6,1,5,3,2]   => 4
[4,6,2,1,3,5]   => 4
[4,6,2,1,5,3]   => 4
[4,6,2,3,1,5]   => 4
[4,6,2,3,5,1]   => 5
[4,6,2,5,1,3]   => 5
[4,6,2,5,3,1]   => 5
[4,6,3,1,2,5]   => 4
[4,6,3,1,5,2]   => 5
[4,6,3,2,1,5]   => 3
[4,6,3,2,5,1]   => 4
[4,6,3,5,1,2]   => 4
[4,6,3,5,2,1]   => 5
[4,6,5,1,2,3]   => 2
[4,6,5,1,3,2]   => 3
[4,6,5,2,1,3]   => 3
[4,6,5,2,3,1]   => 4
[4,6,5,3,1,2]   => 4
[4,6,5,3,2,1]   => 3
[5,1,2,3,4,6]   => 2
[5,1,2,3,6,4]   => 3
[5,1,2,4,3,6]   => 3
[5,1,2,4,6,3]   => 4
[5,1,2,6,3,4]   => 4
[5,1,2,6,4,3]   => 3
[5,1,3,2,4,6]   => 5
[5,1,3,2,6,4]   => 5
[5,1,3,4,2,6]   => 4
[5,1,3,4,6,2]   => 4
[5,1,3,6,2,4]   => 5
[5,1,3,6,4,2]   => 5
[5,1,4,2,3,6]   => 4
[5,1,4,2,6,3]   => 5
[5,1,4,3,2,6]   => 3
[5,1,4,3,6,2]   => 4
[5,1,4,6,2,3]   => 4
[5,1,4,6,3,2]   => 4
[5,1,6,2,3,4]   => 3
[5,1,6,2,4,3]   => 4
[5,1,6,3,2,4]   => 4
[5,1,6,3,4,2]   => 4
[5,1,6,4,2,3]   => 4
[5,1,6,4,3,2]   => 3
[5,2,1,3,4,6]   => 3
[5,2,1,3,6,4]   => 4
[5,2,1,4,3,6]   => 4
[5,2,1,4,6,3]   => 4
[5,2,1,6,3,4]   => 3
[5,2,1,6,4,3]   => 3
[5,2,3,1,4,6]   => 4
[5,2,3,1,6,4]   => 4
[5,2,3,4,1,6]   => 3
[5,2,3,4,6,1]   => 4
[5,2,3,6,1,4]   => 4
[5,2,3,6,4,1]   => 4
[5,2,4,1,3,6]   => 5
[5,2,4,1,6,3]   => 5
[5,2,4,3,1,6]   => 4
[5,2,4,3,6,1]   => 4
[5,2,4,6,1,3]   => 5
[5,2,4,6,3,1]   => 5
[5,2,6,1,3,4]   => 4
[5,2,6,1,4,3]   => 4
[5,2,6,3,1,4]   => 5
[5,2,6,3,4,1]   => 5
[5,2,6,4,1,3]   => 5
[5,2,6,4,3,1]   => 4
[5,3,1,2,4,6]   => 4
[5,3,1,2,6,4]   => 4
[5,3,1,4,2,6]   => 5
[5,3,1,4,6,2]   => 5
[5,3,1,6,2,4]   => 5
[5,3,1,6,4,2]   => 5
[5,3,2,1,4,6]   => 3
[5,3,2,1,6,4]   => 3
[5,3,2,4,1,6]   => 4
[5,3,2,4,6,1]   => 4
[5,3,2,6,1,4]   => 4
[5,3,2,6,4,1]   => 4
[5,3,4,1,2,6]   => 3
[5,3,4,1,6,2]   => 4
[5,3,4,2,1,6]   => 4
[5,3,4,2,6,1]   => 5
[5,3,4,6,1,2]   => 4
[5,3,4,6,2,1]   => 4
[5,3,6,1,2,4]   => 4
[5,3,6,1,4,2]   => 5
[5,3,6,2,1,4]   => 4
[5,3,6,2,4,1]   => 5
[5,3,6,4,1,2]   => 4
[5,3,6,4,2,1]   => 5
[5,4,1,2,3,6]   => 2
[5,4,1,2,6,3]   => 3
[5,4,1,3,2,6]   => 3
[5,4,1,3,6,2]   => 4
[5,4,1,6,2,3]   => 3
[5,4,1,6,3,2]   => 3
[5,4,2,1,3,6]   => 3
[5,4,2,1,6,3]   => 3
[5,4,2,3,1,6]   => 4
[5,4,2,3,6,1]   => 4
[5,4,2,6,1,3]   => 4
[5,4,2,6,3,1]   => 4
[5,4,3,1,2,6]   => 2
[5,4,3,1,6,2]   => 3
[5,4,3,2,1,6]   => 1
[5,4,3,2,6,1]   => 2
[5,4,3,6,1,2]   => 2
[5,4,3,6,2,1]   => 3
[5,4,6,1,2,3]   => 2
[5,4,6,1,3,2]   => 3
[5,4,6,2,1,3]   => 3
[5,4,6,2,3,1]   => 4
[5,4,6,3,1,2]   => 4
[5,4,6,3,2,1]   => 3
[5,6,1,2,3,4]   => 2
[5,6,1,2,4,3]   => 3
[5,6,1,3,2,4]   => 4
[5,6,1,3,4,2]   => 4
[5,6,1,4,2,3]   => 3
[5,6,1,4,3,2]   => 2
[5,6,2,1,3,4]   => 3
[5,6,2,1,4,3]   => 2
[5,6,2,3,1,4]   => 4
[5,6,2,3,4,1]   => 3
[5,6,2,4,1,3]   => 4
[5,6,2,4,3,1]   => 3
[5,6,3,1,2,4]   => 3
[5,6,3,1,4,2]   => 4
[5,6,3,2,1,4]   => 2
[5,6,3,2,4,1]   => 3
[5,6,3,4,1,2]   => 3
[5,6,3,4,2,1]   => 4
[5,6,4,1,2,3]   => 3
[5,6,4,1,3,2]   => 4
[5,6,4,2,1,3]   => 4
[5,6,4,2,3,1]   => 5
[5,6,4,3,1,2]   => 3
[5,6,4,3,2,1]   => 2
[6,1,2,3,4,5]   => 2
[6,1,2,3,5,4]   => 3
[6,1,2,4,3,5]   => 4
[6,1,2,4,5,3]   => 4
[6,1,2,5,3,4]   => 4
[6,1,2,5,4,3]   => 3
[6,1,3,2,4,5]   => 4
[6,1,3,2,5,4]   => 4
[6,1,3,4,2,5]   => 5
[6,1,3,4,5,2]   => 4
[6,1,3,5,2,4]   => 5
[6,1,3,5,4,2]   => 4
[6,1,4,2,3,5]   => 5
[6,1,4,2,5,3]   => 5
[6,1,4,3,2,5]   => 4
[6,1,4,3,5,2]   => 4
[6,1,4,5,2,3]   => 4
[6,1,4,5,3,2]   => 4
[6,1,5,2,3,4]   => 3
[6,1,5,2,4,3]   => 4
[6,1,5,3,2,4]   => 4
[6,1,5,3,4,2]   => 5
[6,1,5,4,2,3]   => 3
[6,1,5,4,3,2]   => 2
[6,2,1,3,4,5]   => 3
[6,2,1,3,5,4]   => 4
[6,2,1,4,3,5]   => 4
[6,2,1,4,5,3]   => 4
[6,2,1,5,3,4]   => 3
[6,2,1,5,4,3]   => 2
[6,2,3,1,4,5]   => 4
[6,2,3,1,5,4]   => 4
[6,2,3,4,1,5]   => 4
[6,2,3,4,5,1]   => 3
[6,2,3,5,1,4]   => 4
[6,2,3,5,4,1]   => 3
[6,2,4,1,3,5]   => 5
[6,2,4,1,5,3]   => 5
[6,2,4,3,1,5]   => 4
[6,2,4,3,5,1]   => 4
[6,2,4,5,1,3]   => 5
[6,2,4,5,3,1]   => 5
[6,2,5,1,3,4]   => 4
[6,2,5,1,4,3]   => 4
[6,2,5,3,1,4]   => 5
[6,2,5,3,4,1]   => 5
[6,2,5,4,1,3]   => 4
[6,2,5,4,3,1]   => 3
[6,3,1,2,4,5]   => 4
[6,3,1,2,5,4]   => 3
[6,3,1,4,2,5]   => 5
[6,3,1,4,5,2]   => 4
[6,3,1,5,2,4]   => 5
[6,3,1,5,4,2]   => 4
[6,3,2,1,4,5]   => 3
[6,3,2,1,5,4]   => 2
[6,3,2,4,1,5]   => 4
[6,3,2,4,5,1]   => 3
[6,3,2,5,1,4]   => 4
[6,3,2,5,4,1]   => 4
[6,3,4,1,2,5]   => 4
[6,3,4,1,5,2]   => 5
[6,3,4,2,1,5]   => 4
[6,3,4,2,5,1]   => 5
[6,3,4,5,1,2]   => 3
[6,3,4,5,2,1]   => 4
[6,3,5,1,2,4]   => 4
[6,3,5,1,4,2]   => 5
[6,3,5,2,1,4]   => 4
[6,3,5,2,4,1]   => 5
[6,3,5,4,1,2]   => 3
[6,3,5,4,2,1]   => 4
[6,4,1,2,3,5]   => 3
[6,4,1,2,5,3]   => 4
[6,4,1,3,2,5]   => 4
[6,4,1,3,5,2]   => 5
[6,4,1,5,2,3]   => 4
[6,4,1,5,3,2]   => 4
[6,4,2,1,3,5]   => 4
[6,4,2,1,5,3]   => 4
[6,4,2,3,1,5]   => 5
[6,4,2,3,5,1]   => 5
[6,4,2,5,1,3]   => 5
[6,4,2,5,3,1]   => 5
[6,4,3,1,2,5]   => 3
[6,4,3,1,5,2]   => 4
[6,4,3,2,1,5]   => 2
[6,4,3,2,5,1]   => 3
[6,4,3,5,1,2]   => 3
[6,4,3,5,2,1]   => 4
[6,4,5,1,2,3]   => 3
[6,4,5,1,3,2]   => 4
[6,4,5,2,1,3]   => 4
[6,4,5,2,3,1]   => 5
[6,4,5,3,1,2]   => 5
[6,4,5,3,2,1]   => 4
[6,5,1,2,3,4]   => 2
[6,5,1,2,4,3]   => 3
[6,5,1,3,2,4]   => 5
[6,5,1,3,4,2]   => 4
[6,5,1,4,2,3]   => 4
[6,5,1,4,3,2]   => 3
[6,5,2,1,3,4]   => 3
[6,5,2,1,4,3]   => 3
[6,5,2,3,1,4]   => 4
[6,5,2,3,4,1]   => 4
[6,5,2,4,1,3]   => 5
[6,5,2,4,3,1]   => 4
[6,5,3,1,2,4]   => 4
[6,5,3,1,4,2]   => 5
[6,5,3,2,1,4]   => 3
[6,5,3,2,4,1]   => 4
[6,5,3,4,1,2]   => 4
[6,5,3,4,2,1]   => 4
[6,5,4,1,2,3]   => 2
[6,5,4,1,3,2]   => 3
[6,5,4,2,1,3]   => 3
[6,5,4,2,3,1]   => 4
[6,5,4,3,1,2]   => 2
[6,5,4,3,2,1]   => 1
[1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => 3
[1,2,3,4,6,7,5] => 2
[1,2,3,4,7,5,6] => 2
[1,2,3,4,7,6,5] => 1
[1,2,3,5,4,6,7] => 3
[1,2,3,5,4,7,6] => 3
[1,2,3,5,6,4,7] => 3
[1,2,3,5,6,7,4] => 2
[1,2,3,5,7,4,6] => 4
[1,2,3,5,7,6,4] => 3
[1,2,3,6,4,5,7] => 3
[1,2,3,6,4,7,5] => 4
[1,2,3,6,5,4,7] => 3
[1,2,3,6,5,7,4] => 3
[1,2,3,6,7,4,5] => 3
[1,2,3,6,7,5,4] => 2
[1,2,3,7,4,5,6] => 2
[1,2,3,7,4,6,5] => 3
[1,2,3,7,5,4,6] => 3
[1,2,3,7,5,6,4] => 4
[1,2,3,7,6,4,5] => 2
[1,2,3,7,6,5,4] => 1
[1,2,4,3,5,6,7] => 3
[1,2,4,3,5,7,6] => 4
[1,2,4,3,6,5,7] => 5
[1,2,4,3,6,7,5] => 4
[1,2,4,3,7,5,6] => 4
[1,2,4,3,7,6,5] => 3
[1,2,4,5,3,6,7] => 4
[1,2,4,5,3,7,6] => 3
[1,2,4,5,6,3,7] => 3
[1,2,4,5,6,7,3] => 2
[1,2,4,5,7,3,6] => 4
[1,2,4,5,7,6,3] => 3
[1,2,4,6,3,5,7] => 5
[1,2,4,6,3,7,5] => 5
[1,2,4,6,5,3,7] => 5
[1,2,4,6,5,7,3] => 5
[1,2,4,6,7,3,5] => 4
[1,2,4,6,7,5,3] => 4
[1,2,4,7,3,5,6] => 4
[1,2,4,7,3,6,5] => 4
[1,2,4,7,5,3,6] => 5
[1,2,4,7,5,6,3] => 4
[1,2,4,7,6,3,5] => 4
[1,2,4,7,6,5,3] => 3
[1,2,5,3,4,6,7] => 4
[1,2,5,3,4,7,6] => 3
[1,2,5,3,6,4,7] => 5
[1,2,5,3,6,7,4] => 4
[1,2,5,3,7,4,6] => 5
[1,2,5,3,7,6,4] => 4
[1,2,5,4,3,6,7] => 3
[1,2,5,4,3,7,6] => 4
[1,2,5,4,6,3,7] => 4
[1,2,5,4,6,7,3] => 3
[1,2,5,4,7,3,6] => 5
[1,2,5,4,7,6,3] => 4
[1,2,5,6,3,4,7] => 3
[1,2,5,6,3,7,4] => 4
[1,2,5,6,4,3,7] => 4
[1,2,5,6,4,7,3] => 4
[1,2,5,6,7,3,4] => 3
[1,2,5,6,7,4,3] => 2
[1,2,5,7,3,4,6] => 4
[1,2,5,7,3,6,4] => 5
[1,2,5,7,4,3,6] => 4
[1,2,5,7,4,6,3] => 5
[1,2,5,7,6,3,4] => 4
[1,2,5,7,6,4,3] => 3
[1,2,6,3,4,5,7] => 3
[1,2,6,3,4,7,5] => 4
[1,2,6,3,5,4,7] => 5
[1,2,6,3,5,7,4] => 5
[1,2,6,3,7,4,5] => 4
[1,2,6,3,7,5,4] => 4
[1,2,6,4,3,5,7] => 4
[1,2,6,4,3,7,5] => 5
[1,2,6,4,5,3,7] => 5
[1,2,6,4,5,7,3] => 4
[1,2,6,4,7,3,5] => 5
[1,2,6,4,7,5,3] => 5
[1,2,6,5,3,4,7] => 4
[1,2,6,5,3,7,4] => 4
[1,2,6,5,4,3,7] => 3
[1,2,6,5,4,7,3] => 3
[1,2,6,5,7,3,4] => 4
[1,2,6,5,7,4,3] => 3
[1,2,6,7,3,4,5] => 3
[1,2,6,7,3,5,4] => 4
[1,2,6,7,4,3,5] => 4
[1,2,6,7,4,5,3] => 4
[1,2,6,7,5,3,4] => 3
[1,2,6,7,5,4,3] => 2
[1,2,7,3,4,5,6] => 2
[1,2,7,3,4,6,5] => 3
[1,2,7,3,5,4,6] => 5
[1,2,7,3,5,6,4] => 4
[1,2,7,3,6,4,5] => 4
[1,2,7,3,6,5,4] => 3
[1,2,7,4,3,5,6] => 3
[1,2,7,4,3,6,5] => 4
[1,2,7,4,5,3,6] => 4
[1,2,7,4,5,6,3] => 4
[1,2,7,4,6,3,5] => 5
[1,2,7,4,6,5,3] => 4
[1,2,7,5,3,4,6] => 4
[1,2,7,5,3,6,4] => 5
[1,2,7,5,4,3,6] => 3
[1,2,7,5,4,6,3] => 4
[1,2,7,5,6,3,4] => 4
[1,2,7,5,6,4,3] => 4
[1,2,7,6,3,4,5] => 2
[1,2,7,6,3,5,4] => 3
[1,2,7,6,4,3,5] => 3
[1,2,7,6,4,5,3] => 4
[1,2,7,6,5,3,4] => 2
[1,2,7,6,5,4,3] => 1
[1,3,2,4,5,6,7] => 3
[1,3,2,4,5,7,6] => 4
[1,3,2,4,6,5,7] => 6
[1,3,2,4,6,7,5] => 5
[1,3,2,4,7,5,6] => 5
[1,3,2,4,7,6,5] => 4
[1,3,2,5,4,6,7] => 5
[1,3,2,5,4,7,6] => 4
[1,3,2,5,6,4,7] => 5
[1,3,2,5,6,7,4] => 4
[1,3,2,5,7,4,6] => 6
[1,3,2,5,7,6,4] => 5
[1,3,2,6,4,5,7] => 5
[1,3,2,6,4,7,5] => 6
[1,3,2,6,5,4,7] => 4
[1,3,2,6,5,7,4] => 5
[1,3,2,6,7,4,5] => 5
[1,3,2,6,7,5,4] => 4
[1,3,2,7,4,5,6] => 4
[1,3,2,7,4,6,5] => 5
[1,3,2,7,5,4,6] => 5
[1,3,2,7,5,6,4] => 5
[1,3,2,7,6,4,5] => 4
[1,3,2,7,6,5,4] => 3
[1,3,4,2,5,6,7] => 3
[1,3,4,2,5,7,6] => 4
[1,3,4,2,6,5,7] => 5
[1,3,4,2,6,7,5] => 4
[1,3,4,2,7,5,6] => 4
[1,3,4,2,7,6,5] => 3
[1,3,4,5,2,6,7] => 3
[1,3,4,5,2,7,6] => 3
[1,3,4,5,6,2,7] => 3
[1,3,4,5,6,7,2] => 2
[1,3,4,5,7,2,6] => 4
[1,3,4,5,7,6,2] => 3
[1,3,4,6,2,5,7] => 5
[1,3,4,6,2,7,5] => 5
[1,3,4,6,5,2,7] => 4
[1,3,4,6,5,7,2] => 5
[1,3,4,6,7,2,5] => 4
[1,3,4,6,7,5,2] => 4
[1,3,4,7,2,5,6] => 4
[1,3,4,7,2,6,5] => 4
[1,3,4,7,5,2,6] => 5
[1,3,4,7,5,6,2] => 4
[1,3,4,7,6,2,5] => 4
[1,3,4,7,6,5,2] => 3
[1,3,5,2,4,6,7] => 5
[1,3,5,2,4,7,6] => 5
[1,3,5,2,6,4,7] => 6
[1,3,5,2,6,7,4] => 5
[1,3,5,2,7,4,6] => 6
[1,3,5,2,7,6,4] => 5
[1,3,5,4,2,6,7] => 4
[1,3,5,4,2,7,6] => 4
[1,3,5,4,6,2,7] => 6
[1,3,5,4,6,7,2] => 5
[1,3,5,4,7,2,6] => 6
[1,3,5,4,7,6,2] => 5
[1,3,5,6,2,4,7] => 5
[1,3,5,6,2,7,4] => 5
[1,3,5,6,4,2,7] => 5
[1,3,5,6,4,7,2] => 5
[1,3,5,6,7,2,4] => 4
[1,3,5,6,7,4,2] => 4
[1,3,5,7,2,4,6] => 6
[1,3,5,7,2,6,4] => 6
[1,3,5,7,4,2,6] => 6
[1,3,5,7,4,6,2] => 6
[1,3,5,7,6,2,4] => 5
[1,3,5,7,6,4,2] => 5
[1,3,6,2,4,5,7] => 5
[1,3,6,2,4,7,5] => 6
[1,3,6,2,5,4,7] => 6
[1,3,6,2,5,7,4] => 6
[1,3,6,2,7,4,5] => 5
[1,3,6,2,7,5,4] => 5
[1,3,6,4,2,5,7] => 6
[1,3,6,4,2,7,5] => 6
[1,3,6,4,5,2,7] => 5
[1,3,6,4,5,7,2] => 5
[1,3,6,4,7,2,5] => 6
[1,3,6,4,7,5,2] => 6
[1,3,6,5,2,4,7] => 6
[1,3,6,5,2,7,4] => 5
[1,3,6,5,4,2,7] => 4
[1,3,6,5,4,7,2] => 5
[1,3,6,5,7,2,4] => 5
[1,3,6,5,7,4,2] => 5
[1,3,6,7,2,4,5] => 5
[1,3,6,7,2,5,4] => 4
[1,3,6,7,4,2,5] => 5
[1,3,6,7,4,5,2] => 5
[1,3,6,7,5,2,4] => 5
[1,3,6,7,5,4,2] => 4
[1,3,7,2,4,5,6] => 4
[1,3,7,2,4,6,5] => 5
[1,3,7,2,5,4,6] => 5
[1,3,7,2,5,6,4] => 5
[1,3,7,2,6,4,5] => 5
[1,3,7,2,6,5,4] => 4
[1,3,7,4,2,5,6] => 5
[1,3,7,4,2,6,5] => 5
[1,3,7,4,5,2,6] => 5
[1,3,7,4,5,6,2] => 4
[1,3,7,4,6,2,5] => 6
[1,3,7,4,6,5,2] => 5
[1,3,7,5,2,4,6] => 6
[1,3,7,5,2,6,4] => 6
[1,3,7,5,4,2,6] => 5
[1,3,7,5,4,6,2] => 5
[1,3,7,5,6,2,4] => 5
[1,3,7,5,6,4,2] => 6
[1,3,7,6,2,4,5] => 4
[1,3,7,6,2,5,4] => 4
[1,3,7,6,4,2,5] => 5
[1,3,7,6,4,5,2] => 4
[1,3,7,6,5,2,4] => 4
[1,3,7,6,5,4,2] => 3
[1,4,2,3,5,6,7] => 3
[1,4,2,3,5,7,6] => 4
[1,4,2,3,6,5,7] => 5
[1,4,2,3,6,7,5] => 4
[1,4,2,3,7,5,6] => 4
[1,4,2,3,7,6,5] => 3
[1,4,2,5,3,6,7] => 5
[1,4,2,5,3,7,6] => 5
[1,4,2,5,6,3,7] => 5
[1,4,2,5,6,7,3] => 4
[1,4,2,5,7,3,6] => 6
[1,4,2,5,7,6,3] => 5
[1,4,2,6,3,5,7] => 6
[1,4,2,6,3,7,5] => 6
[1,4,2,6,5,3,7] => 6
[1,4,2,6,5,7,3] => 5
[1,4,2,6,7,3,5] => 5
[1,4,2,6,7,5,3] => 5
[1,4,2,7,3,5,6] => 5
[1,4,2,7,3,6,5] => 5
[1,4,2,7,5,3,6] => 6
[1,4,2,7,5,6,3] => 5
[1,4,2,7,6,3,5] => 5
[1,4,2,7,6,5,3] => 4
[1,4,3,2,5,6,7] => 3
[1,4,3,2,5,7,6] => 4
[1,4,3,2,6,5,7] => 4
[1,4,3,2,6,7,5] => 5
[1,4,3,2,7,5,6] => 5
[1,4,3,2,7,6,5] => 4
[1,4,3,5,2,6,7] => 5
[1,4,3,5,2,7,6] => 4
[1,4,3,5,6,2,7] => 4
[1,4,3,5,6,7,2] => 3
[1,4,3,5,7,2,6] => 5
[1,4,3,5,7,6,2] => 4
[1,4,3,6,2,5,7] => 6
[1,4,3,6,2,7,5] => 5
[1,4,3,6,5,2,7] => 4
[1,4,3,6,5,7,2] => 5
[1,4,3,6,7,2,5] => 5
[1,4,3,6,7,5,2] => 5
[1,4,3,7,2,5,6] => 5
[1,4,3,7,2,6,5] => 5
[1,4,3,7,5,2,6] => 5
[1,4,3,7,5,6,2] => 5
[1,4,3,7,6,2,5] => 5
[1,4,3,7,6,5,2] => 4
[1,4,5,2,3,6,7] => 3
[1,4,5,2,3,7,6] => 3
[1,4,5,2,6,3,7] => 5
[1,4,5,2,6,7,3] => 4
[1,4,5,2,7,3,6] => 5
[1,4,5,2,7,6,3] => 4
[1,4,5,3,2,6,7] => 4
[1,4,5,3,2,7,6] => 4
[1,4,5,3,6,2,7] => 5
[1,4,5,3,6,7,2] => 4
[1,4,5,3,7,2,6] => 5
[1,4,5,3,7,6,2] => 4
[1,4,5,6,2,3,7] => 3
[1,4,5,6,2,7,3] => 4
[1,4,5,6,3,2,7] => 4
[1,4,5,6,3,7,2] => 4
[1,4,5,6,7,2,3] => 3
[1,4,5,6,7,3,2] => 2
[1,4,5,7,2,3,6] => 4
[1,4,5,7,2,6,3] => 5
[1,4,5,7,3,2,6] => 4
[1,4,5,7,3,6,2] => 5
[1,4,5,7,6,2,3] => 4
[1,4,5,7,6,3,2] => 3
[1,4,6,2,3,5,7] => 5
[1,4,6,2,3,7,5] => 5
[1,4,6,2,5,3,7] => 6
[1,4,6,2,5,7,3] => 6
[1,4,6,2,7,3,5] => 6
[1,4,6,2,7,5,3] => 6
[1,4,6,3,2,5,7] => 6
[1,4,6,3,2,7,5] => 5
[1,4,6,3,5,2,7] => 6
[1,4,6,3,5,7,2] => 6
[1,4,6,3,7,2,5] => 6
[1,4,6,3,7,5,2] => 6
[1,4,6,5,2,3,7] => 4
[1,4,6,5,2,7,3] => 5
[1,4,6,5,3,2,7] => 5

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Created: Jan 08, 2022 at 08:48 by Christian Stump

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Last Updated: Jan 08, 2022 at 08:48 by Christian Stump