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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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-----------------------------------------------------------------------------
Statistic identifier: St001579

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

-----------------------------------------------------------------------------
Description: The number of cyclically simple transpositions decreasing the number of cyclic descents needed to sort a permutation.

This is for a permutation $\sigma$ of length $n$ and the set $T = \{ (1,2), \dots, (n-1,n), (1,n) \}$ given by
$$\min\{ k \mid \sigma = t_1\dots t_k \text{ for } t_i \in T \text{ such that } t_1\dots t_j \text{ has more cyclic descents than } t_1\dots t_{j-1} \text{ for all } j\}.$$

-----------------------------------------------------------------------------
References: [1]   Winter, M. A graph similar to the Bruhat graph, what is it called? [[MathOverflow:366504]]

-----------------------------------------------------------------------------
Code:
def swap(pi,i):
    n = len(pi)
    if i > 0:
        if pi[i] < pi[i-1]:
            return pi[:i-1] + tuple([pi[i],pi[i-1]]) + pi[i+1:]
    else:
        if pi[0] > pi[-1]:
            return (pi[-1],) + pi[1:-1] + (pi[0],)

@cached_function
def statistic(pi):
    if pi is None:
        return infinity
    pi = tuple(pi)
    n = len(pi)
    if pi == tuple([1 .. n]):
        return 0
    return min( statistic(swap(pi,i)) for i in range(len(pi)) ) + 1


-----------------------------------------------------------------------------
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]       => 1
[1,3,4,2]       => 2
[1,4,2,3]       => 2
[1,4,3,2]       => 3
[2,1,3,4]       => 1
[2,1,4,3]       => 2
[2,3,1,4]       => 2
[2,3,4,1]       => 3
[2,4,1,3]       => 3
[2,4,3,1]       => 4
[3,1,2,4]       => 2
[3,1,4,2]       => 3
[3,2,1,4]       => 3
[3,2,4,1]       => 2
[3,4,1,2]       => 4
[3,4,2,1]       => 3
[4,1,2,3]       => 3
[4,1,3,2]       => 2
[4,2,1,3]       => 4
[4,2,3,1]       => 1
[4,3,1,2]       => 3
[4,3,2,1]       => 2
[1,2,3,4,5]     => 0
[1,2,3,5,4]     => 1
[1,2,4,3,5]     => 1
[1,2,4,5,3]     => 2
[1,2,5,3,4]     => 2
[1,2,5,4,3]     => 3
[1,3,2,4,5]     => 1
[1,3,2,5,4]     => 2
[1,3,4,2,5]     => 2
[1,3,4,5,2]     => 3
[1,3,5,2,4]     => 3
[1,3,5,4,2]     => 4
[1,4,2,3,5]     => 2
[1,4,2,5,3]     => 3
[1,4,3,2,5]     => 3
[1,4,3,5,2]     => 4
[1,4,5,2,3]     => 4
[1,4,5,3,2]     => 5
[1,5,2,3,4]     => 3
[1,5,2,4,3]     => 4
[1,5,3,2,4]     => 4
[1,5,3,4,2]     => 5
[1,5,4,2,3]     => 5
[1,5,4,3,2]     => 6
[2,1,3,4,5]     => 1
[2,1,3,5,4]     => 2
[2,1,4,3,5]     => 2
[2,1,4,5,3]     => 3
[2,1,5,3,4]     => 3
[2,1,5,4,3]     => 4
[2,3,1,4,5]     => 2
[2,3,1,5,4]     => 3
[2,3,4,1,5]     => 3
[2,3,4,5,1]     => 4
[2,3,5,1,4]     => 4
[2,3,5,4,1]     => 5
[2,4,1,3,5]     => 3
[2,4,1,5,3]     => 4
[2,4,3,1,5]     => 4
[2,4,3,5,1]     => 5
[2,4,5,1,3]     => 5
[2,4,5,3,1]     => 6
[2,5,1,3,4]     => 4
[2,5,1,4,3]     => 5
[2,5,3,1,4]     => 5
[2,5,3,4,1]     => 6
[2,5,4,1,3]     => 6
[2,5,4,3,1]     => 7
[3,1,2,4,5]     => 2
[3,1,2,5,4]     => 3
[3,1,4,2,5]     => 3
[3,1,4,5,2]     => 4
[3,1,5,2,4]     => 4
[3,1,5,4,2]     => 5
[3,2,1,4,5]     => 3
[3,2,1,5,4]     => 4
[3,2,4,1,5]     => 4
[3,2,4,5,1]     => 3
[3,2,5,1,4]     => 5
[3,2,5,4,1]     => 4
[3,4,1,2,5]     => 4
[3,4,1,5,2]     => 5
[3,4,2,1,5]     => 5
[3,4,2,5,1]     => 4
[3,4,5,1,2]     => 6
[3,4,5,2,1]     => 5
[3,5,1,2,4]     => 5
[3,5,1,4,2]     => 6
[3,5,2,1,4]     => 6
[3,5,2,4,1]     => 5
[3,5,4,1,2]     => 7
[3,5,4,2,1]     => 6
[4,1,2,3,5]     => 3
[4,1,2,5,3]     => 4
[4,1,3,2,5]     => 4
[4,1,3,5,2]     => 3
[4,1,5,2,3]     => 5
[4,1,5,3,2]     => 4
[4,2,1,3,5]     => 4
[4,2,1,5,3]     => 5
[4,2,3,1,5]     => 5
[4,2,3,5,1]     => 2
[4,2,5,1,3]     => 6
[4,2,5,3,1]     => 3
[4,3,1,2,5]     => 5
[4,3,1,5,2]     => 4
[4,3,2,1,5]     => 6
[4,3,2,5,1]     => 3
[4,3,5,1,2]     => 5
[4,3,5,2,1]     => 4
[4,5,1,2,3]     => 6
[4,5,1,3,2]     => 5
[4,5,2,1,3]     => 7
[4,5,2,3,1]     => 4
[4,5,3,1,2]     => 6
[4,5,3,2,1]     => 5
[5,1,2,3,4]     => 4
[5,1,2,4,3]     => 3
[5,1,3,2,4]     => 5
[5,1,3,4,2]     => 2
[5,1,4,2,3]     => 4
[5,1,4,3,2]     => 3
[5,2,1,3,4]     => 5
[5,2,1,4,3]     => 4
[5,2,3,1,4]     => 6
[5,2,3,4,1]     => 1
[5,2,4,1,3]     => 5
[5,2,4,3,1]     => 2
[5,3,1,2,4]     => 6
[5,3,1,4,2]     => 3
[5,3,2,1,4]     => 7
[5,3,2,4,1]     => 2
[5,3,4,1,2]     => 4
[5,3,4,2,1]     => 3
[5,4,1,2,3]     => 5
[5,4,1,3,2]     => 4
[5,4,2,1,3]     => 6
[5,4,2,3,1]     => 3
[5,4,3,1,2]     => 5
[5,4,3,2,1]     => 4
[1,2,3,4,5,6]   => 0
[1,2,3,4,6,5]   => 1
[1,2,3,5,4,6]   => 1
[1,2,3,5,6,4]   => 2
[1,2,3,6,4,5]   => 2
[1,2,3,6,5,4]   => 3
[1,2,4,3,5,6]   => 1
[1,2,4,3,6,5]   => 2
[1,2,4,5,3,6]   => 2
[1,2,4,5,6,3]   => 3
[1,2,4,6,3,5]   => 3
[1,2,4,6,5,3]   => 4
[1,2,5,3,4,6]   => 2
[1,2,5,3,6,4]   => 3
[1,2,5,4,3,6]   => 3
[1,2,5,4,6,3]   => 4
[1,2,5,6,3,4]   => 4
[1,2,5,6,4,3]   => 5
[1,2,6,3,4,5]   => 3
[1,2,6,3,5,4]   => 4
[1,2,6,4,3,5]   => 4
[1,2,6,4,5,3]   => 5
[1,2,6,5,3,4]   => 5
[1,2,6,5,4,3]   => 6
[1,3,2,4,5,6]   => 1
[1,3,2,4,6,5]   => 2
[1,3,2,5,4,6]   => 2
[1,3,2,5,6,4]   => 3
[1,3,2,6,4,5]   => 3
[1,3,2,6,5,4]   => 4
[1,3,4,2,5,6]   => 2
[1,3,4,2,6,5]   => 3
[1,3,4,5,2,6]   => 3
[1,3,4,5,6,2]   => 4
[1,3,4,6,2,5]   => 4
[1,3,4,6,5,2]   => 5
[1,3,5,2,4,6]   => 3
[1,3,5,2,6,4]   => 4
[1,3,5,4,2,6]   => 4
[1,3,5,4,6,2]   => 5
[1,3,5,6,2,4]   => 5
[1,3,5,6,4,2]   => 6
[1,3,6,2,4,5]   => 4
[1,3,6,2,5,4]   => 5
[1,3,6,4,2,5]   => 5
[1,3,6,4,5,2]   => 6
[1,3,6,5,2,4]   => 6
[1,3,6,5,4,2]   => 7
[1,4,2,3,5,6]   => 2
[1,4,2,3,6,5]   => 3
[1,4,2,5,3,6]   => 3
[1,4,2,5,6,3]   => 4
[1,4,2,6,3,5]   => 4
[1,4,2,6,5,3]   => 5
[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]   => 5
[1,4,3,6,2,5]   => 5
[1,4,3,6,5,2]   => 6
[1,4,5,2,3,6]   => 4
[1,4,5,2,6,3]   => 5
[1,4,5,3,2,6]   => 5
[1,4,5,3,6,2]   => 6
[1,4,5,6,2,3]   => 6
[1,4,5,6,3,2]   => 7
[1,4,6,2,3,5]   => 5
[1,4,6,2,5,3]   => 6
[1,4,6,3,2,5]   => 6
[1,4,6,3,5,2]   => 7
[1,4,6,5,2,3]   => 7
[1,4,6,5,3,2]   => 8
[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]   => 5
[1,5,2,6,4,3]   => 6
[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]   => 6
[1,5,3,6,2,4]   => 6
[1,5,3,6,4,2]   => 7
[1,5,4,2,3,6]   => 5
[1,5,4,2,6,3]   => 6
[1,5,4,3,2,6]   => 6
[1,5,4,3,6,2]   => 7
[1,5,4,6,2,3]   => 7
[1,5,4,6,3,2]   => 8
[1,5,6,2,3,4]   => 6
[1,5,6,2,4,3]   => 7
[1,5,6,3,2,4]   => 7
[1,5,6,3,4,2]   => 8
[1,5,6,4,2,3]   => 8
[1,5,6,4,3,2]   => 9
[1,6,2,3,4,5]   => 4
[1,6,2,3,5,4]   => 5
[1,6,2,4,3,5]   => 5
[1,6,2,4,5,3]   => 6
[1,6,2,5,3,4]   => 6
[1,6,2,5,4,3]   => 7
[1,6,3,2,4,5]   => 5
[1,6,3,2,5,4]   => 6
[1,6,3,4,2,5]   => 6
[1,6,3,4,5,2]   => 7
[1,6,3,5,2,4]   => 7
[1,6,3,5,4,2]   => 8
[1,6,4,2,3,5]   => 6
[1,6,4,2,5,3]   => 7
[1,6,4,3,2,5]   => 7
[1,6,4,3,5,2]   => 8
[1,6,4,5,2,3]   => 8
[1,6,4,5,3,2]   => 9
[1,6,5,2,3,4]   => 7
[1,6,5,2,4,3]   => 8
[1,6,5,3,2,4]   => 8
[1,6,5,3,4,2]   => 9
[1,6,5,4,2,3]   => 9
[1,6,5,4,3,2]   => 10
[2,1,3,4,5,6]   => 1
[2,1,3,4,6,5]   => 2
[2,1,3,5,4,6]   => 2
[2,1,3,5,6,4]   => 3
[2,1,3,6,4,5]   => 3
[2,1,3,6,5,4]   => 4
[2,1,4,3,5,6]   => 2
[2,1,4,3,6,5]   => 3
[2,1,4,5,3,6]   => 3
[2,1,4,5,6,3]   => 4
[2,1,4,6,3,5]   => 4
[2,1,4,6,5,3]   => 5
[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]   => 5
[2,1,5,6,3,4]   => 5
[2,1,5,6,4,3]   => 6
[2,1,6,3,4,5]   => 4
[2,1,6,3,5,4]   => 5
[2,1,6,4,3,5]   => 5
[2,1,6,4,5,3]   => 6
[2,1,6,5,3,4]   => 6
[2,1,6,5,4,3]   => 7
[2,3,1,4,5,6]   => 2
[2,3,1,4,6,5]   => 3
[2,3,1,5,4,6]   => 3
[2,3,1,5,6,4]   => 4
[2,3,1,6,4,5]   => 4
[2,3,1,6,5,4]   => 5
[2,3,4,1,5,6]   => 3
[2,3,4,1,6,5]   => 4
[2,3,4,5,1,6]   => 4
[2,3,4,5,6,1]   => 5
[2,3,4,6,1,5]   => 5
[2,3,4,6,5,1]   => 6
[2,3,5,1,4,6]   => 4
[2,3,5,1,6,4]   => 5
[2,3,5,4,1,6]   => 5
[2,3,5,4,6,1]   => 6
[2,3,5,6,1,4]   => 6
[2,3,5,6,4,1]   => 7
[2,3,6,1,4,5]   => 5
[2,3,6,1,5,4]   => 6
[2,3,6,4,1,5]   => 6
[2,3,6,4,5,1]   => 7
[2,3,6,5,1,4]   => 7
[2,3,6,5,4,1]   => 8
[2,4,1,3,5,6]   => 3
[2,4,1,3,6,5]   => 4
[2,4,1,5,3,6]   => 4
[2,4,1,5,6,3]   => 5
[2,4,1,6,3,5]   => 5
[2,4,1,6,5,3]   => 6
[2,4,3,1,5,6]   => 4
[2,4,3,1,6,5]   => 5
[2,4,3,5,1,6]   => 5
[2,4,3,5,6,1]   => 6
[2,4,3,6,1,5]   => 6
[2,4,3,6,5,1]   => 7
[2,4,5,1,3,6]   => 5
[2,4,5,1,6,3]   => 6
[2,4,5,3,1,6]   => 6
[2,4,5,3,6,1]   => 7
[2,4,5,6,1,3]   => 7
[2,4,5,6,3,1]   => 8
[2,4,6,1,3,5]   => 6
[2,4,6,1,5,3]   => 7
[2,4,6,3,1,5]   => 7
[2,4,6,3,5,1]   => 8
[2,4,6,5,1,3]   => 8
[2,4,6,5,3,1]   => 9
[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]   => 6
[2,5,1,6,3,4]   => 6
[2,5,1,6,4,3]   => 7
[2,5,3,1,4,6]   => 5
[2,5,3,1,6,4]   => 6
[2,5,3,4,1,6]   => 6
[2,5,3,4,6,1]   => 7
[2,5,3,6,1,4]   => 7
[2,5,3,6,4,1]   => 8
[2,5,4,1,3,6]   => 6
[2,5,4,1,6,3]   => 7
[2,5,4,3,1,6]   => 7
[2,5,4,3,6,1]   => 8
[2,5,4,6,1,3]   => 8
[2,5,4,6,3,1]   => 9
[2,5,6,1,3,4]   => 7
[2,5,6,1,4,3]   => 8
[2,5,6,3,1,4]   => 8
[2,5,6,3,4,1]   => 9
[2,5,6,4,1,3]   => 9
[2,5,6,4,3,1]   => 10
[2,6,1,3,4,5]   => 5
[2,6,1,3,5,4]   => 6
[2,6,1,4,3,5]   => 6
[2,6,1,4,5,3]   => 7
[2,6,1,5,3,4]   => 7
[2,6,1,5,4,3]   => 8
[2,6,3,1,4,5]   => 6
[2,6,3,1,5,4]   => 7
[2,6,3,4,1,5]   => 7
[2,6,3,4,5,1]   => 8
[2,6,3,5,1,4]   => 8
[2,6,3,5,4,1]   => 9
[2,6,4,1,3,5]   => 7
[2,6,4,1,5,3]   => 8
[2,6,4,3,1,5]   => 8
[2,6,4,3,5,1]   => 9
[2,6,4,5,1,3]   => 9
[2,6,4,5,3,1]   => 10
[2,6,5,1,3,4]   => 8
[2,6,5,1,4,3]   => 9
[2,6,5,3,1,4]   => 9
[2,6,5,3,4,1]   => 10
[2,6,5,4,1,3]   => 10
[2,6,5,4,3,1]   => 11
[3,1,2,4,5,6]   => 2
[3,1,2,4,6,5]   => 3
[3,1,2,5,4,6]   => 3
[3,1,2,5,6,4]   => 4
[3,1,2,6,4,5]   => 4
[3,1,2,6,5,4]   => 5
[3,1,4,2,5,6]   => 3
[3,1,4,2,6,5]   => 4
[3,1,4,5,2,6]   => 4
[3,1,4,5,6,2]   => 5
[3,1,4,6,2,5]   => 5
[3,1,4,6,5,2]   => 6
[3,1,5,2,4,6]   => 4
[3,1,5,2,6,4]   => 5
[3,1,5,4,2,6]   => 5
[3,1,5,4,6,2]   => 6
[3,1,5,6,2,4]   => 6
[3,1,5,6,4,2]   => 7
[3,1,6,2,4,5]   => 5
[3,1,6,2,5,4]   => 6
[3,1,6,4,2,5]   => 6
[3,1,6,4,5,2]   => 7
[3,1,6,5,2,4]   => 7
[3,1,6,5,4,2]   => 8
[3,2,1,4,5,6]   => 3
[3,2,1,4,6,5]   => 4
[3,2,1,5,4,6]   => 4
[3,2,1,5,6,4]   => 5
[3,2,1,6,4,5]   => 5
[3,2,1,6,5,4]   => 6
[3,2,4,1,5,6]   => 4
[3,2,4,1,6,5]   => 5
[3,2,4,5,1,6]   => 5
[3,2,4,5,6,1]   => 4
[3,2,4,6,1,5]   => 6
[3,2,4,6,5,1]   => 5
[3,2,5,1,4,6]   => 5
[3,2,5,1,6,4]   => 6
[3,2,5,4,1,6]   => 6
[3,2,5,4,6,1]   => 5
[3,2,5,6,1,4]   => 7
[3,2,5,6,4,1]   => 6
[3,2,6,1,4,5]   => 6
[3,2,6,1,5,4]   => 7
[3,2,6,4,1,5]   => 7
[3,2,6,4,5,1]   => 6
[3,2,6,5,1,4]   => 8
[3,2,6,5,4,1]   => 7
[3,4,1,2,5,6]   => 4
[3,4,1,2,6,5]   => 5
[3,4,1,5,2,6]   => 5
[3,4,1,5,6,2]   => 6
[3,4,1,6,2,5]   => 6
[3,4,1,6,5,2]   => 7
[3,4,2,1,5,6]   => 5
[3,4,2,1,6,5]   => 6
[3,4,2,5,1,6]   => 6
[3,4,2,5,6,1]   => 5
[3,4,2,6,1,5]   => 7
[3,4,2,6,5,1]   => 6
[3,4,5,1,2,6]   => 6
[3,4,5,1,6,2]   => 7
[3,4,5,2,1,6]   => 7
[3,4,5,2,6,1]   => 6
[3,4,5,6,1,2]   => 8
[3,4,5,6,2,1]   => 7
[3,4,6,1,2,5]   => 7
[3,4,6,1,5,2]   => 8
[3,4,6,2,1,5]   => 8
[3,4,6,2,5,1]   => 7
[3,4,6,5,1,2]   => 9
[3,4,6,5,2,1]   => 8
[3,5,1,2,4,6]   => 5
[3,5,1,2,6,4]   => 6
[3,5,1,4,2,6]   => 6
[3,5,1,4,6,2]   => 7
[3,5,1,6,2,4]   => 7
[3,5,1,6,4,2]   => 8
[3,5,2,1,4,6]   => 6
[3,5,2,1,6,4]   => 7
[3,5,2,4,1,6]   => 7
[3,5,2,4,6,1]   => 6
[3,5,2,6,1,4]   => 8
[3,5,2,6,4,1]   => 7
[3,5,4,1,2,6]   => 7
[3,5,4,1,6,2]   => 8
[3,5,4,2,1,6]   => 8
[3,5,4,2,6,1]   => 7
[3,5,4,6,1,2]   => 9
[3,5,4,6,2,1]   => 8
[3,5,6,1,2,4]   => 8
[3,5,6,1,4,2]   => 9
[3,5,6,2,1,4]   => 9
[3,5,6,2,4,1]   => 8
[3,5,6,4,1,2]   => 10
[3,5,6,4,2,1]   => 9
[3,6,1,2,4,5]   => 6
[3,6,1,2,5,4]   => 7
[3,6,1,4,2,5]   => 7
[3,6,1,4,5,2]   => 8
[3,6,1,5,2,4]   => 8
[3,6,1,5,4,2]   => 9
[3,6,2,1,4,5]   => 7
[3,6,2,1,5,4]   => 8
[3,6,2,4,1,5]   => 8
[3,6,2,4,5,1]   => 7
[3,6,2,5,1,4]   => 9
[3,6,2,5,4,1]   => 8
[3,6,4,1,2,5]   => 8
[3,6,4,1,5,2]   => 9
[3,6,4,2,1,5]   => 9
[3,6,4,2,5,1]   => 8
[3,6,4,5,1,2]   => 10
[3,6,4,5,2,1]   => 9
[3,6,5,1,2,4]   => 9
[3,6,5,1,4,2]   => 10
[3,6,5,2,1,4]   => 10
[3,6,5,2,4,1]   => 9
[3,6,5,4,1,2]   => 11
[3,6,5,4,2,1]   => 10
[4,1,2,3,5,6]   => 3
[4,1,2,3,6,5]   => 4
[4,1,2,5,3,6]   => 4
[4,1,2,5,6,3]   => 5
[4,1,2,6,3,5]   => 5
[4,1,2,6,5,3]   => 6
[4,1,3,2,5,6]   => 4
[4,1,3,2,6,5]   => 5
[4,1,3,5,2,6]   => 5
[4,1,3,5,6,2]   => 4
[4,1,3,6,2,5]   => 6
[4,1,3,6,5,2]   => 5
[4,1,5,2,3,6]   => 5
[4,1,5,2,6,3]   => 6
[4,1,5,3,2,6]   => 6
[4,1,5,3,6,2]   => 5
[4,1,5,6,2,3]   => 7
[4,1,5,6,3,2]   => 6
[4,1,6,2,3,5]   => 6
[4,1,6,2,5,3]   => 7
[4,1,6,3,2,5]   => 7
[4,1,6,3,5,2]   => 6
[4,1,6,5,2,3]   => 8
[4,1,6,5,3,2]   => 7
[4,2,1,3,5,6]   => 4
[4,2,1,3,6,5]   => 5
[4,2,1,5,3,6]   => 5
[4,2,1,5,6,3]   => 6
[4,2,1,6,3,5]   => 6
[4,2,1,6,5,3]   => 7
[4,2,3,1,5,6]   => 5
[4,2,3,1,6,5]   => 6
[4,2,3,5,1,6]   => 6
[4,2,3,5,6,1]   => 3
[4,2,3,6,1,5]   => 7
[4,2,3,6,5,1]   => 4
[4,2,5,1,3,6]   => 6
[4,2,5,1,6,3]   => 7
[4,2,5,3,1,6]   => 7
[4,2,5,3,6,1]   => 4
[4,2,5,6,1,3]   => 8
[4,2,5,6,3,1]   => 5
[4,2,6,1,3,5]   => 7
[4,2,6,1,5,3]   => 8
[4,2,6,3,1,5]   => 8
[4,2,6,3,5,1]   => 5
[4,2,6,5,1,3]   => 9
[4,2,6,5,3,1]   => 6
[4,3,1,2,5,6]   => 5
[4,3,1,2,6,5]   => 6
[4,3,1,5,2,6]   => 6
[4,3,1,5,6,2]   => 5
[4,3,1,6,2,5]   => 7
[4,3,1,6,5,2]   => 6
[4,3,2,1,5,6]   => 6
[4,3,2,1,6,5]   => 7
[4,3,2,5,1,6]   => 7
[4,3,2,5,6,1]   => 4
[4,3,2,6,1,5]   => 8
[4,3,2,6,5,1]   => 5
[4,3,5,1,2,6]   => 7
[4,3,5,1,6,2]   => 6
[4,3,5,2,1,6]   => 8
[4,3,5,2,6,1]   => 5
[4,3,5,6,1,2]   => 7
[4,3,5,6,2,1]   => 6
[4,3,6,1,2,5]   => 8
[4,3,6,1,5,2]   => 7
[4,3,6,2,1,5]   => 9
[4,3,6,2,5,1]   => 6
[4,3,6,5,1,2]   => 8
[4,3,6,5,2,1]   => 7
[4,5,1,2,3,6]   => 6
[4,5,1,2,6,3]   => 7
[4,5,1,3,2,6]   => 7
[4,5,1,3,6,2]   => 6
[4,5,1,6,2,3]   => 8
[4,5,1,6,3,2]   => 7
[4,5,2,1,3,6]   => 7
[4,5,2,1,6,3]   => 8
[4,5,2,3,1,6]   => 8
[4,5,2,3,6,1]   => 5
[4,5,2,6,1,3]   => 9
[4,5,2,6,3,1]   => 6
[4,5,3,1,2,6]   => 8
[4,5,3,1,6,2]   => 7
[4,5,3,2,1,6]   => 9
[4,5,3,2,6,1]   => 6
[4,5,3,6,1,2]   => 8
[4,5,3,6,2,1]   => 7
[4,5,6,1,2,3]   => 9
[4,5,6,1,3,2]   => 8
[4,5,6,2,1,3]   => 10
[4,5,6,2,3,1]   => 7
[4,5,6,3,1,2]   => 9
[4,5,6,3,2,1]   => 8
[4,6,1,2,3,5]   => 7
[4,6,1,2,5,3]   => 8
[4,6,1,3,2,5]   => 8
[4,6,1,3,5,2]   => 7
[4,6,1,5,2,3]   => 9
[4,6,1,5,3,2]   => 8
[4,6,2,1,3,5]   => 8
[4,6,2,1,5,3]   => 9
[4,6,2,3,1,5]   => 9
[4,6,2,3,5,1]   => 6
[4,6,2,5,1,3]   => 10
[4,6,2,5,3,1]   => 7
[4,6,3,1,2,5]   => 9
[4,6,3,1,5,2]   => 8
[4,6,3,2,1,5]   => 10
[4,6,3,2,5,1]   => 7
[4,6,3,5,1,2]   => 9
[4,6,3,5,2,1]   => 8
[4,6,5,1,2,3]   => 10
[4,6,5,1,3,2]   => 9
[4,6,5,2,1,3]   => 11
[4,6,5,2,3,1]   => 8
[4,6,5,3,1,2]   => 10
[4,6,5,3,2,1]   => 9
[5,1,2,3,4,6]   => 4
[5,1,2,3,6,4]   => 5
[5,1,2,4,3,6]   => 5
[5,1,2,4,6,3]   => 4
[5,1,2,6,3,4]   => 6
[5,1,2,6,4,3]   => 5
[5,1,3,2,4,6]   => 5
[5,1,3,2,6,4]   => 6
[5,1,3,4,2,6]   => 6
[5,1,3,4,6,2]   => 3
[5,1,3,6,2,4]   => 7
[5,1,3,6,4,2]   => 4
[5,1,4,2,3,6]   => 6
[5,1,4,2,6,3]   => 5
[5,1,4,3,2,6]   => 7
[5,1,4,3,6,2]   => 4
[5,1,4,6,2,3]   => 6
[5,1,4,6,3,2]   => 5
[5,1,6,2,3,4]   => 7
[5,1,6,2,4,3]   => 6
[5,1,6,3,2,4]   => 8
[5,1,6,3,4,2]   => 5
[5,1,6,4,2,3]   => 7
[5,1,6,4,3,2]   => 6
[5,2,1,3,4,6]   => 5
[5,2,1,3,6,4]   => 6
[5,2,1,4,3,6]   => 6
[5,2,1,4,6,3]   => 5
[5,2,1,6,3,4]   => 7
[5,2,1,6,4,3]   => 6
[5,2,3,1,4,6]   => 6
[5,2,3,1,6,4]   => 7
[5,2,3,4,1,6]   => 7
[5,2,3,4,6,1]   => 2
[5,2,3,6,1,4]   => 8
[5,2,3,6,4,1]   => 3
[5,2,4,1,3,6]   => 7
[5,2,4,1,6,3]   => 6
[5,2,4,3,1,6]   => 8
[5,2,4,3,6,1]   => 3
[5,2,4,6,1,3]   => 7
[5,2,4,6,3,1]   => 4
[5,2,6,1,3,4]   => 8
[5,2,6,1,4,3]   => 7
[5,2,6,3,1,4]   => 9
[5,2,6,3,4,1]   => 4
[5,2,6,4,1,3]   => 8
[5,2,6,4,3,1]   => 5
[5,3,1,2,4,6]   => 6
[5,3,1,2,6,4]   => 7
[5,3,1,4,2,6]   => 7
[5,3,1,4,6,2]   => 4
[5,3,1,6,2,4]   => 8
[5,3,1,6,4,2]   => 5
[5,3,2,1,4,6]   => 7
[5,3,2,1,6,4]   => 8
[5,3,2,4,1,6]   => 8
[5,3,2,4,6,1]   => 3
[5,3,2,6,1,4]   => 9
[5,3,2,6,4,1]   => 4
[5,3,4,1,2,6]   => 8
[5,3,4,1,6,2]   => 5
[5,3,4,2,1,6]   => 9
[5,3,4,2,6,1]   => 4
[5,3,4,6,1,2]   => 6
[5,3,4,6,2,1]   => 5
[5,3,6,1,2,4]   => 9
[5,3,6,1,4,2]   => 6
[5,3,6,2,1,4]   => 10
[5,3,6,2,4,1]   => 5
[5,3,6,4,1,2]   => 7
[5,3,6,4,2,1]   => 6
[5,4,1,2,3,6]   => 7
[5,4,1,2,6,3]   => 6
[5,4,1,3,2,6]   => 8
[5,4,1,3,6,2]   => 5
[5,4,1,6,2,3]   => 7
[5,4,1,6,3,2]   => 6
[5,4,2,1,3,6]   => 8
[5,4,2,1,6,3]   => 7
[5,4,2,3,1,6]   => 9
[5,4,2,3,6,1]   => 4
[5,4,2,6,1,3]   => 8
[5,4,2,6,3,1]   => 5
[5,4,3,1,2,6]   => 9
[5,4,3,1,6,2]   => 6
[5,4,3,2,1,6]   => 10
[5,4,3,2,6,1]   => 5
[5,4,3,6,1,2]   => 7
[5,4,3,6,2,1]   => 6
[5,4,6,1,2,3]   => 8
[5,4,6,1,3,2]   => 7
[5,4,6,2,1,3]   => 9
[5,4,6,2,3,1]   => 6
[5,4,6,3,1,2]   => 8
[5,4,6,3,2,1]   => 7
[5,6,1,2,3,4]   => 8
[5,6,1,2,4,3]   => 7
[5,6,1,3,2,4]   => 9
[5,6,1,3,4,2]   => 6
[5,6,1,4,2,3]   => 8
[5,6,1,4,3,2]   => 7
[5,6,2,1,3,4]   => 9
[5,6,2,1,4,3]   => 8
[5,6,2,3,1,4]   => 10
[5,6,2,3,4,1]   => 5
[5,6,2,4,1,3]   => 9
[5,6,2,4,3,1]   => 6
[5,6,3,1,2,4]   => 10
[5,6,3,1,4,2]   => 7
[5,6,3,2,1,4]   => 11
[5,6,3,2,4,1]   => 6
[5,6,3,4,1,2]   => 8
[5,6,3,4,2,1]   => 7
[5,6,4,1,2,3]   => 9
[5,6,4,1,3,2]   => 8
[5,6,4,2,1,3]   => 10
[5,6,4,2,3,1]   => 7
[5,6,4,3,1,2]   => 9
[5,6,4,3,2,1]   => 8
[6,1,2,3,4,5]   => 5
[6,1,2,3,5,4]   => 4
[6,1,2,4,3,5]   => 6
[6,1,2,4,5,3]   => 3
[6,1,2,5,3,4]   => 5
[6,1,2,5,4,3]   => 4
[6,1,3,2,4,5]   => 6
[6,1,3,2,5,4]   => 5
[6,1,3,4,2,5]   => 7
[6,1,3,4,5,2]   => 2
[6,1,3,5,2,4]   => 6
[6,1,3,5,4,2]   => 3
[6,1,4,2,3,5]   => 7
[6,1,4,2,5,3]   => 4
[6,1,4,3,2,5]   => 8
[6,1,4,3,5,2]   => 3
[6,1,4,5,2,3]   => 5
[6,1,4,5,3,2]   => 4
[6,1,5,2,3,4]   => 6
[6,1,5,2,4,3]   => 5
[6,1,5,3,2,4]   => 7
[6,1,5,3,4,2]   => 4
[6,1,5,4,2,3]   => 6
[6,1,5,4,3,2]   => 5
[6,2,1,3,4,5]   => 6
[6,2,1,3,5,4]   => 5
[6,2,1,4,3,5]   => 7
[6,2,1,4,5,3]   => 4
[6,2,1,5,3,4]   => 6
[6,2,1,5,4,3]   => 5
[6,2,3,1,4,5]   => 7
[6,2,3,1,5,4]   => 6
[6,2,3,4,1,5]   => 8
[6,2,3,4,5,1]   => 1
[6,2,3,5,1,4]   => 7
[6,2,3,5,4,1]   => 2
[6,2,4,1,3,5]   => 8
[6,2,4,1,5,3]   => 5
[6,2,4,3,1,5]   => 9
[6,2,4,3,5,1]   => 2
[6,2,4,5,1,3]   => 6
[6,2,4,5,3,1]   => 3
[6,2,5,1,3,4]   => 7
[6,2,5,1,4,3]   => 6
[6,2,5,3,1,4]   => 8
[6,2,5,3,4,1]   => 3
[6,2,5,4,1,3]   => 7
[6,2,5,4,3,1]   => 4
[6,3,1,2,4,5]   => 7
[6,3,1,2,5,4]   => 6
[6,3,1,4,2,5]   => 8
[6,3,1,4,5,2]   => 3
[6,3,1,5,2,4]   => 7
[6,3,1,5,4,2]   => 4
[6,3,2,1,4,5]   => 8
[6,3,2,1,5,4]   => 7
[6,3,2,4,1,5]   => 9
[6,3,2,4,5,1]   => 2
[6,3,2,5,1,4]   => 8
[6,3,2,5,4,1]   => 3
[6,3,4,1,2,5]   => 9
[6,3,4,1,5,2]   => 4
[6,3,4,2,1,5]   => 10
[6,3,4,2,5,1]   => 3
[6,3,4,5,1,2]   => 5
[6,3,4,5,2,1]   => 4
[6,3,5,1,2,4]   => 8
[6,3,5,1,4,2]   => 5
[6,3,5,2,1,4]   => 9
[6,3,5,2,4,1]   => 4
[6,3,5,4,1,2]   => 6
[6,3,5,4,2,1]   => 5
[6,4,1,2,3,5]   => 8
[6,4,1,2,5,3]   => 5
[6,4,1,3,2,5]   => 9
[6,4,1,3,5,2]   => 4
[6,4,1,5,2,3]   => 6
[6,4,1,5,3,2]   => 5
[6,4,2,1,3,5]   => 9
[6,4,2,1,5,3]   => 6
[6,4,2,3,1,5]   => 10
[6,4,2,3,5,1]   => 3
[6,4,2,5,1,3]   => 7
[6,4,2,5,3,1]   => 4
[6,4,3,1,2,5]   => 10
[6,4,3,1,5,2]   => 5
[6,4,3,2,1,5]   => 11
[6,4,3,2,5,1]   => 4
[6,4,3,5,1,2]   => 6
[6,4,3,5,2,1]   => 5
[6,4,5,1,2,3]   => 7
[6,4,5,1,3,2]   => 6
[6,4,5,2,1,3]   => 8
[6,4,5,2,3,1]   => 5
[6,4,5,3,1,2]   => 7
[6,4,5,3,2,1]   => 6
[6,5,1,2,3,4]   => 7
[6,5,1,2,4,3]   => 6
[6,5,1,3,2,4]   => 8
[6,5,1,3,4,2]   => 5
[6,5,1,4,2,3]   => 7
[6,5,1,4,3,2]   => 6
[6,5,2,1,3,4]   => 8
[6,5,2,1,4,3]   => 7
[6,5,2,3,1,4]   => 9
[6,5,2,3,4,1]   => 4
[6,5,2,4,1,3]   => 8
[6,5,2,4,3,1]   => 5
[6,5,3,1,2,4]   => 9
[6,5,3,1,4,2]   => 6
[6,5,3,2,1,4]   => 10
[6,5,3,2,4,1]   => 5
[6,5,3,4,1,2]   => 7
[6,5,3,4,2,1]   => 6
[6,5,4,1,2,3]   => 8
[6,5,4,1,3,2]   => 7
[6,5,4,2,1,3]   => 9
[6,5,4,2,3,1]   => 6
[6,5,4,3,1,2]   => 8
[6,5,4,3,2,1]   => 7
[1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => 1
[1,2,3,4,6,7,5] => 2
[1,2,3,4,7,5,6] => 2
[1,2,3,4,7,6,5] => 3
[1,2,3,5,4,6,7] => 1
[1,2,3,5,4,7,6] => 2
[1,2,3,5,6,4,7] => 2
[1,2,3,5,6,7,4] => 3
[1,2,3,5,7,4,6] => 3
[1,2,3,5,7,6,4] => 4
[1,2,3,6,4,5,7] => 2
[1,2,3,6,4,7,5] => 3
[1,2,3,6,5,4,7] => 3
[1,2,3,6,5,7,4] => 4
[1,2,3,6,7,4,5] => 4
[1,2,3,6,7,5,4] => 5
[1,2,3,7,4,5,6] => 3
[1,2,3,7,4,6,5] => 4
[1,2,3,7,5,4,6] => 4
[1,2,3,7,5,6,4] => 5
[1,2,3,7,6,4,5] => 5
[1,2,3,7,6,5,4] => 6
[1,2,4,3,5,6,7] => 1
[1,2,4,3,5,7,6] => 2
[1,2,4,3,6,5,7] => 2
[1,2,4,3,6,7,5] => 3
[1,2,4,3,7,5,6] => 3
[1,2,4,3,7,6,5] => 4
[1,2,4,5,3,6,7] => 2
[1,2,4,5,3,7,6] => 3
[1,2,4,5,6,3,7] => 3
[1,2,4,5,6,7,3] => 4
[1,2,4,5,7,3,6] => 4
[1,2,4,5,7,6,3] => 5
[1,2,4,6,3,5,7] => 3
[1,2,4,6,3,7,5] => 4
[1,2,4,6,5,3,7] => 4
[1,2,4,6,5,7,3] => 5
[1,2,4,6,7,3,5] => 5
[1,2,4,6,7,5,3] => 6
[1,2,4,7,3,5,6] => 4
[1,2,4,7,3,6,5] => 5
[1,2,4,7,5,3,6] => 5
[1,2,4,7,5,6,3] => 6
[1,2,4,7,6,3,5] => 6
[1,2,4,7,6,5,3] => 7
[1,2,5,3,4,6,7] => 2
[1,2,5,3,4,7,6] => 3
[1,2,5,3,6,4,7] => 3
[1,2,5,3,6,7,4] => 4
[1,2,5,3,7,4,6] => 4
[1,2,5,3,7,6,4] => 5
[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] => 5
[1,2,5,4,7,3,6] => 5
[1,2,5,4,7,6,3] => 6
[1,2,5,6,3,4,7] => 4
[1,2,5,6,3,7,4] => 5
[1,2,5,6,4,3,7] => 5
[1,2,5,6,4,7,3] => 6
[1,2,5,6,7,3,4] => 6
[1,2,5,6,7,4,3] => 7
[1,2,5,7,3,4,6] => 5
[1,2,5,7,3,6,4] => 6
[1,2,5,7,4,3,6] => 6
[1,2,5,7,4,6,3] => 7
[1,2,5,7,6,3,4] => 7
[1,2,5,7,6,4,3] => 8
[1,2,6,3,4,5,7] => 3
[1,2,6,3,4,7,5] => 4
[1,2,6,3,5,4,7] => 4
[1,2,6,3,5,7,4] => 5
[1,2,6,3,7,4,5] => 5
[1,2,6,3,7,5,4] => 6
[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] => 6
[1,2,6,4,7,3,5] => 6
[1,2,6,4,7,5,3] => 7
[1,2,6,5,3,4,7] => 5
[1,2,6,5,3,7,4] => 6
[1,2,6,5,4,3,7] => 6
[1,2,6,5,4,7,3] => 7
[1,2,6,5,7,3,4] => 7
[1,2,6,5,7,4,3] => 8
[1,2,6,7,3,4,5] => 6
[1,2,6,7,3,5,4] => 7
[1,2,6,7,4,3,5] => 7
[1,2,6,7,4,5,3] => 8
[1,2,6,7,5,3,4] => 8
[1,2,6,7,5,4,3] => 9
[1,2,7,3,4,5,6] => 4
[1,2,7,3,4,6,5] => 5
[1,2,7,3,5,4,6] => 5
[1,2,7,3,5,6,4] => 6
[1,2,7,3,6,4,5] => 6
[1,2,7,3,6,5,4] => 7
[1,2,7,4,3,5,6] => 5
[1,2,7,4,3,6,5] => 6
[1,2,7,4,5,3,6] => 6
[1,2,7,4,5,6,3] => 7
[1,2,7,4,6,3,5] => 7
[1,2,7,4,6,5,3] => 8
[1,2,7,5,3,4,6] => 6
[1,2,7,5,3,6,4] => 7
[1,2,7,5,4,3,6] => 7
[1,2,7,5,4,6,3] => 8
[1,2,7,5,6,3,4] => 8
[1,2,7,5,6,4,3] => 9
[1,2,7,6,3,4,5] => 7
[1,2,7,6,3,5,4] => 8
[1,2,7,6,4,3,5] => 8
[1,2,7,6,4,5,3] => 9
[1,2,7,6,5,3,4] => 9
[1,2,7,6,5,4,3] => 10
[1,3,2,4,5,6,7] => 1
[1,3,2,4,5,7,6] => 2
[1,3,2,4,6,5,7] => 2
[1,3,2,4,6,7,5] => 3
[1,3,2,4,7,5,6] => 3
[1,3,2,4,7,6,5] => 4
[1,3,2,5,4,6,7] => 2
[1,3,2,5,4,7,6] => 3
[1,3,2,5,6,4,7] => 3
[1,3,2,5,6,7,4] => 4
[1,3,2,5,7,4,6] => 4
[1,3,2,5,7,6,4] => 5
[1,3,2,6,4,5,7] => 3
[1,3,2,6,4,7,5] => 4
[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] => 6
[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] => 6
[1,3,2,7,6,4,5] => 6
[1,3,2,7,6,5,4] => 7
[1,3,4,2,5,6,7] => 2
[1,3,4,2,5,7,6] => 3
[1,3,4,2,6,5,7] => 3
[1,3,4,2,6,7,5] => 4
[1,3,4,2,7,5,6] => 4
[1,3,4,2,7,6,5] => 5
[1,3,4,5,2,6,7] => 3
[1,3,4,5,2,7,6] => 4
[1,3,4,5,6,2,7] => 4
[1,3,4,5,6,7,2] => 5
[1,3,4,5,7,2,6] => 5
[1,3,4,5,7,6,2] => 6
[1,3,4,6,2,5,7] => 4
[1,3,4,6,2,7,5] => 5
[1,3,4,6,5,2,7] => 5
[1,3,4,6,5,7,2] => 6
[1,3,4,6,7,2,5] => 6
[1,3,4,6,7,5,2] => 7
[1,3,4,7,2,5,6] => 5
[1,3,4,7,2,6,5] => 6
[1,3,4,7,5,2,6] => 6
[1,3,4,7,5,6,2] => 7
[1,3,4,7,6,2,5] => 7
[1,3,4,7,6,5,2] => 8
[1,3,5,2,4,6,7] => 3
[1,3,5,2,4,7,6] => 4
[1,3,5,2,6,4,7] => 4
[1,3,5,2,6,7,4] => 5
[1,3,5,2,7,4,6] => 5
[1,3,5,2,7,6,4] => 6
[1,3,5,4,2,6,7] => 4
[1,3,5,4,2,7,6] => 5
[1,3,5,4,6,2,7] => 5
[1,3,5,4,6,7,2] => 6
[1,3,5,4,7,2,6] => 6
[1,3,5,4,7,6,2] => 7
[1,3,5,6,2,4,7] => 5
[1,3,5,6,2,7,4] => 6
[1,3,5,6,4,2,7] => 6
[1,3,5,6,4,7,2] => 7
[1,3,5,6,7,2,4] => 7
[1,3,5,6,7,4,2] => 8
[1,3,5,7,2,4,6] => 6
[1,3,5,7,2,6,4] => 7
[1,3,5,7,4,2,6] => 7
[1,3,5,7,4,6,2] => 8
[1,3,5,7,6,2,4] => 8
[1,3,5,7,6,4,2] => 9
[1,3,6,2,4,5,7] => 4
[1,3,6,2,4,7,5] => 5
[1,3,6,2,5,4,7] => 5
[1,3,6,2,5,7,4] => 6
[1,3,6,2,7,4,5] => 6
[1,3,6,2,7,5,4] => 7
[1,3,6,4,2,5,7] => 5
[1,3,6,4,2,7,5] => 6
[1,3,6,4,5,2,7] => 6
[1,3,6,4,5,7,2] => 7
[1,3,6,4,7,2,5] => 7
[1,3,6,4,7,5,2] => 8
[1,3,6,5,2,4,7] => 6
[1,3,6,5,2,7,4] => 7
[1,3,6,5,4,2,7] => 7
[1,3,6,5,4,7,2] => 8
[1,3,6,5,7,2,4] => 8
[1,3,6,5,7,4,2] => 9
[1,3,6,7,2,4,5] => 7
[1,3,6,7,2,5,4] => 8
[1,3,6,7,4,2,5] => 8
[1,3,6,7,4,5,2] => 9
[1,3,6,7,5,2,4] => 9
[1,3,6,7,5,4,2] => 10
[1,3,7,2,4,5,6] => 5
[1,3,7,2,4,6,5] => 6
[1,3,7,2,5,4,6] => 6
[1,3,7,2,5,6,4] => 7
[1,3,7,2,6,4,5] => 7
[1,3,7,2,6,5,4] => 8
[1,3,7,4,2,5,6] => 6
[1,3,7,4,2,6,5] => 7
[1,3,7,4,5,2,6] => 7
[1,3,7,4,5,6,2] => 8
[1,3,7,4,6,2,5] => 8
[1,3,7,4,6,5,2] => 9
[1,3,7,5,2,4,6] => 7
[1,3,7,5,2,6,4] => 8
[1,3,7,5,4,2,6] => 8
[1,3,7,5,4,6,2] => 9
[1,3,7,5,6,2,4] => 9
[1,3,7,5,6,4,2] => 10
[1,3,7,6,2,4,5] => 8
[1,3,7,6,2,5,4] => 9
[1,3,7,6,4,2,5] => 9
[1,3,7,6,4,5,2] => 10
[1,3,7,6,5,2,4] => 10
[1,3,7,6,5,4,2] => 11
[1,4,2,3,5,6,7] => 2
[1,4,2,3,5,7,6] => 3
[1,4,2,3,6,5,7] => 3
[1,4,2,3,6,7,5] => 4
[1,4,2,3,7,5,6] => 4
[1,4,2,3,7,6,5] => 5
[1,4,2,5,3,6,7] => 3
[1,4,2,5,3,7,6] => 4
[1,4,2,5,6,3,7] => 4
[1,4,2,5,6,7,3] => 5
[1,4,2,5,7,3,6] => 5
[1,4,2,5,7,6,3] => 6
[1,4,2,6,3,5,7] => 4
[1,4,2,6,3,7,5] => 5
[1,4,2,6,5,3,7] => 5
[1,4,2,6,5,7,3] => 6
[1,4,2,6,7,3,5] => 6
[1,4,2,6,7,5,3] => 7
[1,4,2,7,3,5,6] => 5
[1,4,2,7,3,6,5] => 6
[1,4,2,7,5,3,6] => 6
[1,4,2,7,5,6,3] => 7
[1,4,2,7,6,3,5] => 7
[1,4,2,7,6,5,3] => 8
[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] => 6
[1,4,3,5,2,6,7] => 4
[1,4,3,5,2,7,6] => 5
[1,4,3,5,6,2,7] => 5
[1,4,3,5,6,7,2] => 6
[1,4,3,5,7,2,6] => 6
[1,4,3,5,7,6,2] => 7
[1,4,3,6,2,5,7] => 5
[1,4,3,6,2,7,5] => 6
[1,4,3,6,5,2,7] => 6
[1,4,3,6,5,7,2] => 7
[1,4,3,6,7,2,5] => 7
[1,4,3,6,7,5,2] => 8
[1,4,3,7,2,5,6] => 6
[1,4,3,7,2,6,5] => 7
[1,4,3,7,5,2,6] => 7
[1,4,3,7,5,6,2] => 8
[1,4,3,7,6,2,5] => 8
[1,4,3,7,6,5,2] => 9
[1,4,5,2,3,6,7] => 4
[1,4,5,2,3,7,6] => 5
[1,4,5,2,6,3,7] => 5
[1,4,5,2,6,7,3] => 6
[1,4,5,2,7,3,6] => 6
[1,4,5,2,7,6,3] => 7
[1,4,5,3,2,6,7] => 5
[1,4,5,3,2,7,6] => 6
[1,4,5,3,6,2,7] => 6
[1,4,5,3,6,7,2] => 7
[1,4,5,3,7,2,6] => 7
[1,4,5,3,7,6,2] => 8
[1,4,5,6,2,3,7] => 6
[1,4,5,6,2,7,3] => 7
[1,4,5,6,3,2,7] => 7
[1,4,5,6,3,7,2] => 8
[1,4,5,6,7,2,3] => 8
[1,4,5,6,7,3,2] => 9
[1,4,5,7,2,3,6] => 7
[1,4,5,7,2,6,3] => 8
[1,4,5,7,3,2,6] => 8
[1,4,5,7,3,6,2] => 9
[1,4,5,7,6,2,3] => 9
[1,4,5,7,6,3,2] => 10
[1,4,6,2,3,5,7] => 5
[1,4,6,2,3,7,5] => 6
[1,4,6,2,5,3,7] => 6
[1,4,6,2,5,7,3] => 7
[1,4,6,2,7,3,5] => 7
[1,4,6,2,7,5,3] => 8
[1,4,6,3,2,5,7] => 6
[1,4,6,3,2,7,5] => 7
[1,4,6,3,5,2,7] => 7
[1,4,6,3,5,7,2] => 8
[1,4,6,3,7,2,5] => 8
[1,4,6,3,7,5,2] => 9
[1,4,6,5,2,3,7] => 7
[1,4,6,5,2,7,3] => 8
[1,4,6,5,3,2,7] => 8

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Created: Jul 26, 2020 at 11:22 by Christian Stump

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Last Updated: Jan 22, 2024 at 15:09 by Martin Rubey