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

-----------------------------------------------------------------------------
Statistic identifier: St000724

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

-----------------------------------------------------------------------------
Description: The label of the leaf of the path following the smaller label in the increasing binary tree associated to a permutation.

Associate an increasing binary tree to the permutation using [[Mp00061]].  Then follow the path starting at the root which always selects the child with the smaller label.  This statistic is the label of the leaf in the path, see [1].

Han [2] showed that this statistic is (up to a shift) equidistributed on zigzag permutations (permutations $\pi$ such that $\pi(1) < \pi(2) > \pi(3) \cdots$)  with the greater neighbor of the maximum ([[St000060]]), see also [3].

-----------------------------------------------------------------------------
References: [1]   Poupard, C. Deux propriétés des arbres binaires ordonnés stricts [[MathSciNet:1005843]]
[2]   [[https://www.emis.de/journals/SLC/wpapers/s74vortrag/han.pdf]]
[3]   Foata, D., Han, G.-N. Finite difference calculus for alternating permutations [[MathSciNet:3173528]] [[arXiv:1304.2483]]

-----------------------------------------------------------------------------
Code:
def statistic(pi):
    pi = list(pi)
    if len(pi) == 1:
        return pi[0]
    else:
        a = min(pi)
        j = pi.index(a)
        b = min( x for x in pi if x != a )
        if pi.index(b) < j:
            return statistic(pi[:j])
        else:
            return statistic(pi[j+1:])


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

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

-----------------------------------------------------------------------------
Created: Mar 28, 2017 at 11:20 by Christian Stump

-----------------------------------------------------------------------------
Last Updated: Mar 28, 2017 at 11:47 by Christian Stump