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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: St000404

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

-----------------------------------------------------------------------------
Description: The number of occurrences of the pattern 3241 or of the pattern 4231 in a permutation.

A permutation avoids these two pattern if and only if it is an ''input-restricted deques'', see [1].

-----------------------------------------------------------------------------
References: [1]   Pratt, V. R. Computing permutations with double-ended queues. Parallel stacks and parallel queues [[MathSciNet:0489115]]

-----------------------------------------------------------------------------
Code:
def statistic(pi):
    return len(pi.pattern_positions([3,2,4,1]))+len(pi.pattern_positions([4,2,3,1]))


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

[]                           => 0
[1]                          => 0
[1,2]                        => 0
[2,1]                        => 0
[1,2,3]                      => 0
[1,3,2]                      => 0
[2,1,3]                      => 0
[2,3,1]                      => 0
[3,1,2]                      => 0
[3,2,1]                      => 0
[1,2,3,4]                    => 0
[1,2,4,3]                    => 0
[1,3,2,4]                    => 0
[1,3,4,2]                    => 0
[1,4,2,3]                    => 0
[1,4,3,2]                    => 0
[2,1,3,4]                    => 0
[2,1,4,3]                    => 0
[2,3,1,4]                    => 0
[2,3,4,1]                    => 0
[2,4,1,3]                    => 0
[2,4,3,1]                    => 0
[3,1,2,4]                    => 0
[3,1,4,2]                    => 0
[3,2,1,4]                    => 0
[3,2,4,1]                    => 1
[3,4,1,2]                    => 0
[3,4,2,1]                    => 0
[4,1,2,3]                    => 0
[4,1,3,2]                    => 0
[4,2,1,3]                    => 0
[4,2,3,1]                    => 1
[4,3,1,2]                    => 0
[4,3,2,1]                    => 0
[1,2,3,4,5]                  => 0
[1,2,3,5,4]                  => 0
[1,2,4,3,5]                  => 0
[1,2,4,5,3]                  => 0
[1,2,5,3,4]                  => 0
[1,2,5,4,3]                  => 0
[1,3,2,4,5]                  => 0
[1,3,2,5,4]                  => 0
[1,3,4,2,5]                  => 0
[1,3,4,5,2]                  => 0
[1,3,5,2,4]                  => 0
[1,3,5,4,2]                  => 0
[1,4,2,3,5]                  => 0
[1,4,2,5,3]                  => 0
[1,4,3,2,5]                  => 0
[1,4,3,5,2]                  => 1
[1,4,5,2,3]                  => 0
[1,4,5,3,2]                  => 0
[1,5,2,3,4]                  => 0
[1,5,2,4,3]                  => 0
[1,5,3,2,4]                  => 0
[1,5,3,4,2]                  => 1
[1,5,4,2,3]                  => 0
[1,5,4,3,2]                  => 0
[2,1,3,4,5]                  => 0
[2,1,3,5,4]                  => 0
[2,1,4,3,5]                  => 0
[2,1,4,5,3]                  => 0
[2,1,5,3,4]                  => 0
[2,1,5,4,3]                  => 0
[2,3,1,4,5]                  => 0
[2,3,1,5,4]                  => 0
[2,3,4,1,5]                  => 0
[2,3,4,5,1]                  => 0
[2,3,5,1,4]                  => 0
[2,3,5,4,1]                  => 0
[2,4,1,3,5]                  => 0
[2,4,1,5,3]                  => 0
[2,4,3,1,5]                  => 0
[2,4,3,5,1]                  => 1
[2,4,5,1,3]                  => 0
[2,4,5,3,1]                  => 0
[2,5,1,3,4]                  => 0
[2,5,1,4,3]                  => 0
[2,5,3,1,4]                  => 0
[2,5,3,4,1]                  => 1
[2,5,4,1,3]                  => 0
[2,5,4,3,1]                  => 0
[3,1,2,4,5]                  => 0
[3,1,2,5,4]                  => 0
[3,1,4,2,5]                  => 0
[3,1,4,5,2]                  => 0
[3,1,5,2,4]                  => 0
[3,1,5,4,2]                  => 0
[3,2,1,4,5]                  => 0
[3,2,1,5,4]                  => 0
[3,2,4,1,5]                  => 1
[3,2,4,5,1]                  => 2
[3,2,5,1,4]                  => 1
[3,2,5,4,1]                  => 2
[3,4,1,2,5]                  => 0
[3,4,1,5,2]                  => 0
[3,4,2,1,5]                  => 0
[3,4,2,5,1]                  => 2
[3,4,5,1,2]                  => 0
[3,4,5,2,1]                  => 0
[3,5,1,2,4]                  => 0
[3,5,1,4,2]                  => 0
[3,5,2,1,4]                  => 0
[3,5,2,4,1]                  => 2
[3,5,4,1,2]                  => 0
[3,5,4,2,1]                  => 0
[4,1,2,3,5]                  => 0
[4,1,2,5,3]                  => 0
[4,1,3,2,5]                  => 0
[4,1,3,5,2]                  => 1
[4,1,5,2,3]                  => 0
[4,1,5,3,2]                  => 0
[4,2,1,3,5]                  => 0
[4,2,1,5,3]                  => 0
[4,2,3,1,5]                  => 1
[4,2,3,5,1]                  => 3
[4,2,5,1,3]                  => 1
[4,2,5,3,1]                  => 2
[4,3,1,2,5]                  => 0
[4,3,1,5,2]                  => 1
[4,3,2,1,5]                  => 0
[4,3,2,5,1]                  => 3
[4,3,5,1,2]                  => 2
[4,3,5,2,1]                  => 2
[4,5,1,2,3]                  => 0
[4,5,1,3,2]                  => 0
[4,5,2,1,3]                  => 0
[4,5,2,3,1]                  => 2
[4,5,3,1,2]                  => 0
[4,5,3,2,1]                  => 0
[5,1,2,3,4]                  => 0
[5,1,2,4,3]                  => 0
[5,1,3,2,4]                  => 0
[5,1,3,4,2]                  => 1
[5,1,4,2,3]                  => 0
[5,1,4,3,2]                  => 0
[5,2,1,3,4]                  => 0
[5,2,1,4,3]                  => 0
[5,2,3,1,4]                  => 1
[5,2,3,4,1]                  => 3
[5,2,4,1,3]                  => 1
[5,2,4,3,1]                  => 2
[5,3,1,2,4]                  => 0
[5,3,1,4,2]                  => 1
[5,3,2,1,4]                  => 0
[5,3,2,4,1]                  => 3
[5,3,4,1,2]                  => 2
[5,3,4,2,1]                  => 2
[5,4,1,2,3]                  => 0
[5,4,1,3,2]                  => 0
[5,4,2,1,3]                  => 0
[5,4,2,3,1]                  => 2
[5,4,3,1,2]                  => 0
[5,4,3,2,1]                  => 0
[1,2,3,4,5,6]                => 0
[1,2,3,4,6,5]                => 0
[1,2,3,5,4,6]                => 0
[1,2,3,5,6,4]                => 0
[1,2,3,6,4,5]                => 0
[1,2,3,6,5,4]                => 0
[1,2,4,3,5,6]                => 0
[1,2,4,3,6,5]                => 0
[1,2,4,5,3,6]                => 0
[1,2,4,5,6,3]                => 0
[1,2,4,6,3,5]                => 0
[1,2,4,6,5,3]                => 0
[1,2,5,3,4,6]                => 0
[1,2,5,3,6,4]                => 0
[1,2,5,4,3,6]                => 0
[1,2,5,4,6,3]                => 1
[1,2,5,6,3,4]                => 0
[1,2,5,6,4,3]                => 0
[1,2,6,3,4,5]                => 0
[1,2,6,3,5,4]                => 0
[1,2,6,4,3,5]                => 0
[1,2,6,4,5,3]                => 1
[1,2,6,5,3,4]                => 0
[1,2,6,5,4,3]                => 0
[1,3,2,4,5,6]                => 0
[1,3,2,4,6,5]                => 0
[1,3,2,5,4,6]                => 0
[1,3,2,5,6,4]                => 0
[1,3,2,6,4,5]                => 0
[1,3,2,6,5,4]                => 0
[1,3,4,2,5,6]                => 0
[1,3,4,2,6,5]                => 0
[1,3,4,5,2,6]                => 0
[1,3,4,5,6,2]                => 0
[1,3,4,6,2,5]                => 0
[1,3,4,6,5,2]                => 0
[1,3,5,2,4,6]                => 0
[1,3,5,2,6,4]                => 0
[1,3,5,4,2,6]                => 0
[1,3,5,4,6,2]                => 1
[1,3,5,6,2,4]                => 0
[1,3,5,6,4,2]                => 0
[1,3,6,2,4,5]                => 0
[1,3,6,2,5,4]                => 0
[1,3,6,4,2,5]                => 0
[1,3,6,4,5,2]                => 1
[1,3,6,5,2,4]                => 0
[1,3,6,5,4,2]                => 0
[1,4,2,3,5,6]                => 0
[1,4,2,3,6,5]                => 0
[1,4,2,5,3,6]                => 0
[1,4,2,5,6,3]                => 0
[1,4,2,6,3,5]                => 0
[1,4,2,6,5,3]                => 0
[1,4,3,2,5,6]                => 0
[1,4,3,2,6,5]                => 0
[1,4,3,5,2,6]                => 1
[1,4,3,5,6,2]                => 2
[1,4,3,6,2,5]                => 1
[1,4,3,6,5,2]                => 2
[1,4,5,2,3,6]                => 0
[1,4,5,2,6,3]                => 0
[1,4,5,3,2,6]                => 0
[1,4,5,3,6,2]                => 2
[1,4,5,6,2,3]                => 0
[1,4,5,6,3,2]                => 0
[1,4,6,2,3,5]                => 0
[1,4,6,2,5,3]                => 0
[1,4,6,3,2,5]                => 0
[1,4,6,3,5,2]                => 2
[1,4,6,5,2,3]                => 0
[1,4,6,5,3,2]                => 0
[1,5,2,3,4,6]                => 0
[1,5,2,3,6,4]                => 0
[1,5,2,4,3,6]                => 0
[1,5,2,4,6,3]                => 1
[1,5,2,6,3,4]                => 0
[1,5,2,6,4,3]                => 0
[1,5,3,2,4,6]                => 0
[1,5,3,2,6,4]                => 0
[1,5,3,4,2,6]                => 1
[1,5,3,4,6,2]                => 3
[1,5,3,6,2,4]                => 1
[1,5,3,6,4,2]                => 2
[1,5,4,2,3,6]                => 0
[1,5,4,2,6,3]                => 1
[1,5,4,3,2,6]                => 0
[1,5,4,3,6,2]                => 3
[1,5,4,6,2,3]                => 2
[1,5,4,6,3,2]                => 2
[1,5,6,2,3,4]                => 0
[1,5,6,2,4,3]                => 0
[1,5,6,3,2,4]                => 0
[1,5,6,3,4,2]                => 2
[1,5,6,4,2,3]                => 0
[1,5,6,4,3,2]                => 0
[1,6,2,3,4,5]                => 0
[1,6,2,3,5,4]                => 0
[1,6,2,4,3,5]                => 0
[1,6,2,4,5,3]                => 1
[1,6,2,5,3,4]                => 0
[1,6,2,5,4,3]                => 0
[1,6,3,2,4,5]                => 0
[1,6,3,2,5,4]                => 0
[1,6,3,4,2,5]                => 1
[1,6,3,4,5,2]                => 3
[1,6,3,5,2,4]                => 1
[1,6,3,5,4,2]                => 2
[1,6,4,2,3,5]                => 0
[1,6,4,2,5,3]                => 1
[1,6,4,3,2,5]                => 0
[1,6,4,3,5,2]                => 3
[1,6,4,5,2,3]                => 2
[1,6,4,5,3,2]                => 2
[1,6,5,2,3,4]                => 0
[1,6,5,2,4,3]                => 0
[1,6,5,3,2,4]                => 0
[1,6,5,3,4,2]                => 2
[1,6,5,4,2,3]                => 0
[1,6,5,4,3,2]                => 0
[2,1,3,4,5,6]                => 0
[2,1,3,4,6,5]                => 0
[2,1,3,5,4,6]                => 0
[2,1,3,5,6,4]                => 0
[2,1,3,6,4,5]                => 0
[2,1,3,6,5,4]                => 0
[2,1,4,3,5,6]                => 0
[2,1,4,3,6,5]                => 0
[2,1,4,5,3,6]                => 0
[2,1,4,5,6,3]                => 0
[2,1,4,6,3,5]                => 0
[2,1,4,6,5,3]                => 0
[2,1,5,3,4,6]                => 0
[2,1,5,3,6,4]                => 0
[2,1,5,4,3,6]                => 0
[2,1,5,4,6,3]                => 1
[2,1,5,6,3,4]                => 0
[2,1,5,6,4,3]                => 0
[2,1,6,3,4,5]                => 0
[2,1,6,3,5,4]                => 0
[2,1,6,4,3,5]                => 0
[2,1,6,4,5,3]                => 1
[2,1,6,5,3,4]                => 0
[2,1,6,5,4,3]                => 0
[2,3,1,4,5,6]                => 0
[2,3,1,4,6,5]                => 0
[2,3,1,5,4,6]                => 0
[2,3,1,5,6,4]                => 0
[2,3,1,6,4,5]                => 0
[2,3,1,6,5,4]                => 0
[2,3,4,1,5,6]                => 0
[2,3,4,1,6,5]                => 0
[2,3,4,5,1,6]                => 0
[2,3,4,5,6,1]                => 0
[2,3,4,6,1,5]                => 0
[2,3,4,6,5,1]                => 0
[2,3,5,1,4,6]                => 0
[2,3,5,1,6,4]                => 0
[2,3,5,4,1,6]                => 0
[2,3,5,4,6,1]                => 1
[2,3,5,6,1,4]                => 0
[2,3,5,6,4,1]                => 0
[2,3,6,1,4,5]                => 0
[2,3,6,1,5,4]                => 0
[2,3,6,4,1,5]                => 0
[2,3,6,4,5,1]                => 1
[2,3,6,5,1,4]                => 0
[2,3,6,5,4,1]                => 0
[2,4,1,3,5,6]                => 0
[2,4,1,3,6,5]                => 0
[2,4,1,5,3,6]                => 0
[2,4,1,5,6,3]                => 0
[2,4,1,6,3,5]                => 0
[2,4,1,6,5,3]                => 0
[2,4,3,1,5,6]                => 0
[2,4,3,1,6,5]                => 0
[2,4,3,5,1,6]                => 1
[2,4,3,5,6,1]                => 2
[2,4,3,6,1,5]                => 1
[2,4,3,6,5,1]                => 2
[2,4,5,1,3,6]                => 0
[2,4,5,1,6,3]                => 0
[2,4,5,3,1,6]                => 0
[2,4,5,3,6,1]                => 2
[2,4,5,6,1,3]                => 0
[2,4,5,6,3,1]                => 0
[2,4,6,1,3,5]                => 0
[2,4,6,1,5,3]                => 0
[2,4,6,3,1,5]                => 0
[2,4,6,3,5,1]                => 2
[2,4,6,5,1,3]                => 0
[2,4,6,5,3,1]                => 0
[2,5,1,3,4,6]                => 0
[2,5,1,3,6,4]                => 0
[2,5,1,4,3,6]                => 0
[2,5,1,4,6,3]                => 1
[2,5,1,6,3,4]                => 0
[2,5,1,6,4,3]                => 0
[2,5,3,1,4,6]                => 0
[2,5,3,1,6,4]                => 0
[2,5,3,4,1,6]                => 1
[2,5,3,4,6,1]                => 3
[2,5,3,6,1,4]                => 1
[2,5,3,6,4,1]                => 2
[2,5,4,1,3,6]                => 0
[2,5,4,1,6,3]                => 1
[2,5,4,3,1,6]                => 0
[2,5,4,3,6,1]                => 3
[2,5,4,6,1,3]                => 2
[2,5,4,6,3,1]                => 2
[2,5,6,1,3,4]                => 0
[2,5,6,1,4,3]                => 0
[2,5,6,3,1,4]                => 0
[2,5,6,3,4,1]                => 2
[2,5,6,4,1,3]                => 0
[2,5,6,4,3,1]                => 0
[2,6,1,3,4,5]                => 0
[2,6,1,3,5,4]                => 0
[2,6,1,4,3,5]                => 0
[2,6,1,4,5,3]                => 1
[2,6,1,5,3,4]                => 0
[2,6,1,5,4,3]                => 0
[2,6,3,1,4,5]                => 0
[2,6,3,1,5,4]                => 0
[2,6,3,4,1,5]                => 1
[2,6,3,4,5,1]                => 3
[2,6,3,5,1,4]                => 1
[2,6,3,5,4,1]                => 2
[2,6,4,1,3,5]                => 0
[2,6,4,1,5,3]                => 1
[2,6,4,3,1,5]                => 0
[2,6,4,3,5,1]                => 3
[2,6,4,5,1,3]                => 2
[2,6,4,5,3,1]                => 2
[2,6,5,1,3,4]                => 0
[2,6,5,1,4,3]                => 0
[2,6,5,3,1,4]                => 0
[2,6,5,3,4,1]                => 2
[2,6,5,4,1,3]                => 0
[2,6,5,4,3,1]                => 0
[3,1,2,4,5,6]                => 0
[3,1,2,4,6,5]                => 0
[3,1,2,5,4,6]                => 0
[3,1,2,5,6,4]                => 0
[3,1,2,6,4,5]                => 0
[3,1,2,6,5,4]                => 0
[3,1,4,2,5,6]                => 0
[3,1,4,2,6,5]                => 0
[3,1,4,5,2,6]                => 0
[3,1,4,5,6,2]                => 0
[3,1,4,6,2,5]                => 0
[3,1,4,6,5,2]                => 0
[3,1,5,2,4,6]                => 0
[3,1,5,2,6,4]                => 0
[3,1,5,4,2,6]                => 0
[3,1,5,4,6,2]                => 1
[3,1,5,6,2,4]                => 0
[3,1,5,6,4,2]                => 0
[3,1,6,2,4,5]                => 0
[3,1,6,2,5,4]                => 0
[3,1,6,4,2,5]                => 0
[3,1,6,4,5,2]                => 1
[3,1,6,5,2,4]                => 0
[3,1,6,5,4,2]                => 0
[3,2,1,4,5,6]                => 0
[3,2,1,4,6,5]                => 0
[3,2,1,5,4,6]                => 0
[3,2,1,5,6,4]                => 0
[3,2,1,6,4,5]                => 0
[3,2,1,6,5,4]                => 0
[3,2,4,1,5,6]                => 1
[3,2,4,1,6,5]                => 1
[3,2,4,5,1,6]                => 2
[3,2,4,5,6,1]                => 3
[3,2,4,6,1,5]                => 2
[3,2,4,6,5,1]                => 3
[3,2,5,1,4,6]                => 1
[3,2,5,1,6,4]                => 1
[3,2,5,4,1,6]                => 2
[3,2,5,4,6,1]                => 4
[3,2,5,6,1,4]                => 2
[3,2,5,6,4,1]                => 3
[3,2,6,1,4,5]                => 1
[3,2,6,1,5,4]                => 1
[3,2,6,4,1,5]                => 2
[3,2,6,4,5,1]                => 4
[3,2,6,5,1,4]                => 2
[3,2,6,5,4,1]                => 3
[3,4,1,2,5,6]                => 0
[3,4,1,2,6,5]                => 0
[3,4,1,5,2,6]                => 0
[3,4,1,5,6,2]                => 0
[3,4,1,6,2,5]                => 0
[3,4,1,6,5,2]                => 0
[3,4,2,1,5,6]                => 0
[3,4,2,1,6,5]                => 0
[3,4,2,5,1,6]                => 2
[3,4,2,5,6,1]                => 4
[3,4,2,6,1,5]                => 2
[3,4,2,6,5,1]                => 4
[3,4,5,1,2,6]                => 0
[3,4,5,1,6,2]                => 0
[3,4,5,2,1,6]                => 0
[3,4,5,2,6,1]                => 3
[3,4,5,6,1,2]                => 0
[3,4,5,6,2,1]                => 0
[3,4,6,1,2,5]                => 0
[3,4,6,1,5,2]                => 0
[3,4,6,2,1,5]                => 0
[3,4,6,2,5,1]                => 3
[3,4,6,5,1,2]                => 0
[3,4,6,5,2,1]                => 0
[3,5,1,2,4,6]                => 0
[3,5,1,2,6,4]                => 0
[3,5,1,4,2,6]                => 0
[3,5,1,4,6,2]                => 1
[3,5,1,6,2,4]                => 0
[3,5,1,6,4,2]                => 0
[3,5,2,1,4,6]                => 0
[3,5,2,1,6,4]                => 0
[3,5,2,4,1,6]                => 2
[3,5,2,4,6,1]                => 5
[3,5,2,6,1,4]                => 2
[3,5,2,6,4,1]                => 4
[3,5,4,1,2,6]                => 0
[3,5,4,1,6,2]                => 1
[3,5,4,2,1,6]                => 0
[3,5,4,2,6,1]                => 4
[3,5,4,6,1,2]                => 2
[3,5,4,6,2,1]                => 2
[3,5,6,1,2,4]                => 0
[3,5,6,1,4,2]                => 0
[3,5,6,2,1,4]                => 0
[3,5,6,2,4,1]                => 3
[3,5,6,4,1,2]                => 0
[3,5,6,4,2,1]                => 0
[3,6,1,2,4,5]                => 0
[3,6,1,2,5,4]                => 0
[3,6,1,4,2,5]                => 0
[3,6,1,4,5,2]                => 1
[3,6,1,5,2,4]                => 0
[3,6,1,5,4,2]                => 0
[3,6,2,1,4,5]                => 0
[3,6,2,1,5,4]                => 0
[3,6,2,4,1,5]                => 2
[3,6,2,4,5,1]                => 5
[3,6,2,5,1,4]                => 2
[3,6,2,5,4,1]                => 4
[3,6,4,1,2,5]                => 0
[3,6,4,1,5,2]                => 1
[3,6,4,2,1,5]                => 0
[3,6,4,2,5,1]                => 4
[3,6,4,5,1,2]                => 2
[3,6,4,5,2,1]                => 2
[3,6,5,1,2,4]                => 0
[3,6,5,1,4,2]                => 0
[3,6,5,2,1,4]                => 0
[3,6,5,2,4,1]                => 3
[3,6,5,4,1,2]                => 0
[3,6,5,4,2,1]                => 0
[4,1,2,3,5,6]                => 0
[4,1,2,3,6,5]                => 0
[4,1,2,5,3,6]                => 0
[4,1,2,5,6,3]                => 0
[4,1,2,6,3,5]                => 0
[4,1,2,6,5,3]                => 0
[4,1,3,2,5,6]                => 0
[4,1,3,2,6,5]                => 0
[4,1,3,5,2,6]                => 1
[4,1,3,5,6,2]                => 2
[4,1,3,6,2,5]                => 1
[4,1,3,6,5,2]                => 2
[4,1,5,2,3,6]                => 0
[4,1,5,2,6,3]                => 0
[4,1,5,3,2,6]                => 0
[4,1,5,3,6,2]                => 2
[4,1,5,6,2,3]                => 0
[4,1,5,6,3,2]                => 0
[4,1,6,2,3,5]                => 0
[4,1,6,2,5,3]                => 0
[4,1,6,3,2,5]                => 0
[4,1,6,3,5,2]                => 2
[4,1,6,5,2,3]                => 0
[4,1,6,5,3,2]                => 0
[4,2,1,3,5,6]                => 0
[4,2,1,3,6,5]                => 0
[4,2,1,5,3,6]                => 0
[4,2,1,5,6,3]                => 0
[4,2,1,6,3,5]                => 0
[4,2,1,6,5,3]                => 0
[4,2,3,1,5,6]                => 1
[4,2,3,1,6,5]                => 1
[4,2,3,5,1,6]                => 3
[4,2,3,5,6,1]                => 5
[4,2,3,6,1,5]                => 3
[4,2,3,6,5,1]                => 5
[4,2,5,1,3,6]                => 1
[4,2,5,1,6,3]                => 1
[4,2,5,3,1,6]                => 2
[4,2,5,3,6,1]                => 5
[4,2,5,6,1,3]                => 2
[4,2,5,6,3,1]                => 3
[4,2,6,1,3,5]                => 1
[4,2,6,1,5,3]                => 1
[4,2,6,3,1,5]                => 2
[4,2,6,3,5,1]                => 5
[4,2,6,5,1,3]                => 2
[4,2,6,5,3,1]                => 3
[4,3,1,2,5,6]                => 0
[4,3,1,2,6,5]                => 0
[4,3,1,5,2,6]                => 1
[4,3,1,5,6,2]                => 2
[4,3,1,6,2,5]                => 1
[4,3,1,6,5,2]                => 2
[4,3,2,1,5,6]                => 0
[4,3,2,1,6,5]                => 0
[4,3,2,5,1,6]                => 3
[4,3,2,5,6,1]                => 6
[4,3,2,6,1,5]                => 3
[4,3,2,6,5,1]                => 6
[4,3,5,1,2,6]                => 2
[4,3,5,1,6,2]                => 3
[4,3,5,2,1,6]                => 2
[4,3,5,2,6,1]                => 6
[4,3,5,6,1,2]                => 4
[4,3,5,6,2,1]                => 4
[4,3,6,1,2,5]                => 2
[4,3,6,1,5,2]                => 3
[4,3,6,2,1,5]                => 2
[4,3,6,2,5,1]                => 6
[4,3,6,5,1,2]                => 4
[4,3,6,5,2,1]                => 4
[4,5,1,2,3,6]                => 0
[4,5,1,2,6,3]                => 0
[4,5,1,3,2,6]                => 0
[4,5,1,3,6,2]                => 2
[4,5,1,6,2,3]                => 0
[4,5,1,6,3,2]                => 0
[4,5,2,1,3,6]                => 0
[4,5,2,1,6,3]                => 0
[4,5,2,3,1,6]                => 2
[4,5,2,3,6,1]                => 6
[4,5,2,6,1,3]                => 2
[4,5,2,6,3,1]                => 4
[4,5,3,1,2,6]                => 0
[4,5,3,1,6,2]                => 2
[4,5,3,2,1,6]                => 0
[4,5,3,2,6,1]                => 5
[4,5,3,6,1,2]                => 4
[4,5,3,6,2,1]                => 4
[4,5,6,1,2,3]                => 0
[4,5,6,1,3,2]                => 0
[4,5,6,2,1,3]                => 0
[4,5,6,2,3,1]                => 3
[4,5,6,3,1,2]                => 0
[4,5,6,3,2,1]                => 0
[4,6,1,2,3,5]                => 0
[4,6,1,2,5,3]                => 0
[4,6,1,3,2,5]                => 0
[4,6,1,3,5,2]                => 2
[4,6,1,5,2,3]                => 0
[4,6,1,5,3,2]                => 0
[4,6,2,1,3,5]                => 0
[4,6,2,1,5,3]                => 0
[4,6,2,3,1,5]                => 2
[4,6,2,3,5,1]                => 6
[4,6,2,5,1,3]                => 2
[4,6,2,5,3,1]                => 4
[4,6,3,1,2,5]                => 0
[4,6,3,1,5,2]                => 2
[4,6,3,2,1,5]                => 0
[4,6,3,2,5,1]                => 5
[4,6,3,5,1,2]                => 4
[4,6,3,5,2,1]                => 4
[4,6,5,1,2,3]                => 0
[4,6,5,1,3,2]                => 0
[4,6,5,2,1,3]                => 0
[4,6,5,2,3,1]                => 3
[4,6,5,3,1,2]                => 0
[4,6,5,3,2,1]                => 0
[5,1,2,3,4,6]                => 0
[5,1,2,3,6,4]                => 0
[5,1,2,4,3,6]                => 0
[5,1,2,4,6,3]                => 1
[5,1,2,6,3,4]                => 0
[5,1,2,6,4,3]                => 0
[5,1,3,2,4,6]                => 0
[5,1,3,2,6,4]                => 0
[5,1,3,4,2,6]                => 1
[5,1,3,4,6,2]                => 3
[5,1,3,6,2,4]                => 1
[5,1,3,6,4,2]                => 2
[5,1,4,2,3,6]                => 0
[5,1,4,2,6,3]                => 1
[5,1,4,3,2,6]                => 0
[5,1,4,3,6,2]                => 3
[5,1,4,6,2,3]                => 2
[5,1,4,6,3,2]                => 2
[5,1,6,2,3,4]                => 0
[5,1,6,2,4,3]                => 0
[5,1,6,3,2,4]                => 0
[5,1,6,3,4,2]                => 2
[5,1,6,4,2,3]                => 0
[5,1,6,4,3,2]                => 0
[5,2,1,3,4,6]                => 0
[5,2,1,3,6,4]                => 0
[5,2,1,4,3,6]                => 0
[5,2,1,4,6,3]                => 1
[5,2,1,6,3,4]                => 0
[5,2,1,6,4,3]                => 0
[5,2,3,1,4,6]                => 1
[5,2,3,1,6,4]                => 1
[5,2,3,4,1,6]                => 3
[5,2,3,4,6,1]                => 6
[5,2,3,6,1,4]                => 3
[5,2,3,6,4,1]                => 5
[5,2,4,1,3,6]                => 1
[5,2,4,1,6,3]                => 2
[5,2,4,3,1,6]                => 2
[5,2,4,3,6,1]                => 6
[5,2,4,6,1,3]                => 4
[5,2,4,6,3,1]                => 5
[5,2,6,1,3,4]                => 1
[5,2,6,1,4,3]                => 1
[5,2,6,3,1,4]                => 2
[5,2,6,3,4,1]                => 5
[5,2,6,4,1,3]                => 2
[5,2,6,4,3,1]                => 3
[5,3,1,2,4,6]                => 0
[5,3,1,2,6,4]                => 0
[5,3,1,4,2,6]                => 1
[5,3,1,4,6,2]                => 3
[5,3,1,6,2,4]                => 1
[5,3,1,6,4,2]                => 2
[5,3,2,1,4,6]                => 0
[5,3,2,1,6,4]                => 0
[5,3,2,4,1,6]                => 3
[5,3,2,4,6,1]                => 7
[5,3,2,6,1,4]                => 3
[5,3,2,6,4,1]                => 6
[5,3,4,1,2,6]                => 2
[5,3,4,1,6,2]                => 4
[5,3,4,2,1,6]                => 2
[5,3,4,2,6,1]                => 7
[5,3,4,6,1,2]                => 6
[5,3,4,6,2,1]                => 6
[5,3,6,1,2,4]                => 2
[5,3,6,1,4,2]                => 3
[5,3,6,2,1,4]                => 2
[5,3,6,2,4,1]                => 6
[5,3,6,4,1,2]                => 4
[5,3,6,4,2,1]                => 4
[5,4,1,2,3,6]                => 0
[5,4,1,2,6,3]                => 1
[5,4,1,3,2,6]                => 0
[5,4,1,3,6,2]                => 3
[5,4,1,6,2,3]                => 2
[5,4,1,6,3,2]                => 2
[5,4,2,1,3,6]                => 0
[5,4,2,1,6,3]                => 1
[5,4,2,3,1,6]                => 2
[5,4,2,3,6,1]                => 7
[5,4,2,6,1,3]                => 4
[5,4,2,6,3,1]                => 6
[5,4,3,1,2,6]                => 0
[5,4,3,1,6,2]                => 3
[5,4,3,2,1,6]                => 0
[5,4,3,2,6,1]                => 6
[5,4,3,6,1,2]                => 6
[5,4,3,6,2,1]                => 6
[5,4,6,1,2,3]                => 3
[5,4,6,1,3,2]                => 3
[5,4,6,2,1,3]                => 3
[5,4,6,2,3,1]                => 6
[5,4,6,3,1,2]                => 3
[5,4,6,3,2,1]                => 3
[5,6,1,2,3,4]                => 0
[5,6,1,2,4,3]                => 0
[5,6,1,3,2,4]                => 0
[5,6,1,3,4,2]                => 2
[5,6,1,4,2,3]                => 0
[5,6,1,4,3,2]                => 0
[5,6,2,1,3,4]                => 0
[5,6,2,1,4,3]                => 0
[5,6,2,3,1,4]                => 2
[5,6,2,3,4,1]                => 6
[5,6,2,4,1,3]                => 2
[5,6,2,4,3,1]                => 4
[5,6,3,1,2,4]                => 0
[5,6,3,1,4,2]                => 2
[5,6,3,2,1,4]                => 0
[5,6,3,2,4,1]                => 5
[5,6,3,4,1,2]                => 4
[5,6,3,4,2,1]                => 4
[5,6,4,1,2,3]                => 0
[5,6,4,1,3,2]                => 0
[5,6,4,2,1,3]                => 0
[5,6,4,2,3,1]                => 3
[5,6,4,3,1,2]                => 0
[5,6,4,3,2,1]                => 0
[6,1,2,3,4,5]                => 0
[6,1,2,3,5,4]                => 0
[6,1,2,4,3,5]                => 0
[6,1,2,4,5,3]                => 1
[6,1,2,5,3,4]                => 0
[6,1,2,5,4,3]                => 0
[6,1,3,2,4,5]                => 0
[6,1,3,2,5,4]                => 0
[6,1,3,4,2,5]                => 1
[6,1,3,4,5,2]                => 3
[6,1,3,5,2,4]                => 1
[6,1,3,5,4,2]                => 2
[6,1,4,2,3,5]                => 0
[6,1,4,2,5,3]                => 1
[6,1,4,3,2,5]                => 0
[6,1,4,3,5,2]                => 3
[6,1,4,5,2,3]                => 2
[6,1,4,5,3,2]                => 2
[6,1,5,2,3,4]                => 0
[6,1,5,2,4,3]                => 0
[6,1,5,3,2,4]                => 0
[6,1,5,3,4,2]                => 2
[6,1,5,4,2,3]                => 0
[6,1,5,4,3,2]                => 0
[6,2,1,3,4,5]                => 0
[6,2,1,3,5,4]                => 0
[6,2,1,4,3,5]                => 0
[6,2,1,4,5,3]                => 1
[6,2,1,5,3,4]                => 0
[6,2,1,5,4,3]                => 0
[6,2,3,1,4,5]                => 1
[6,2,3,1,5,4]                => 1
[6,2,3,4,1,5]                => 3
[6,2,3,4,5,1]                => 6
[6,2,3,5,1,4]                => 3
[6,2,3,5,4,1]                => 5
[6,2,4,1,3,5]                => 1
[6,2,4,1,5,3]                => 2
[6,2,4,3,1,5]                => 2
[6,2,4,3,5,1]                => 6
[6,2,4,5,1,3]                => 4
[6,2,4,5,3,1]                => 5
[6,2,5,1,3,4]                => 1
[6,2,5,1,4,3]                => 1
[6,2,5,3,1,4]                => 2
[6,2,5,3,4,1]                => 5
[6,2,5,4,1,3]                => 2
[6,2,5,4,3,1]                => 3
[6,3,1,2,4,5]                => 0
[6,3,1,2,5,4]                => 0
[6,3,1,4,2,5]                => 1
[6,3,1,4,5,2]                => 3
[6,3,1,5,2,4]                => 1
[6,3,1,5,4,2]                => 2
[6,3,2,1,4,5]                => 0
[6,3,2,1,5,4]                => 0
[6,3,2,4,1,5]                => 3
[6,3,2,4,5,1]                => 7
[6,3,2,5,1,4]                => 3
[6,3,2,5,4,1]                => 6
[6,3,4,1,2,5]                => 2
[6,3,4,1,5,2]                => 4
[6,3,4,2,1,5]                => 2
[6,3,4,2,5,1]                => 7
[6,3,4,5,1,2]                => 6
[6,3,4,5,2,1]                => 6
[6,3,5,1,2,4]                => 2
[6,3,5,1,4,2]                => 3
[6,3,5,2,1,4]                => 2
[6,3,5,2,4,1]                => 6
[6,3,5,4,1,2]                => 4
[6,3,5,4,2,1]                => 4
[6,4,1,2,3,5]                => 0
[6,4,1,2,5,3]                => 1
[6,4,1,3,2,5]                => 0
[6,4,1,3,5,2]                => 3
[6,4,1,5,2,3]                => 2
[6,4,1,5,3,2]                => 2
[6,4,2,1,3,5]                => 0
[6,4,2,1,5,3]                => 1
[6,4,2,3,1,5]                => 2
[6,4,2,3,5,1]                => 7
[6,4,2,5,1,3]                => 4
[6,4,2,5,3,1]                => 6
[6,4,3,1,2,5]                => 0
[6,4,3,1,5,2]                => 3
[6,4,3,2,1,5]                => 0
[6,4,3,2,5,1]                => 6
[6,4,3,5,1,2]                => 6
[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]                => 3
[6,4,5,2,3,1]                => 6
[6,4,5,3,1,2]                => 3
[6,4,5,3,2,1]                => 3
[6,5,1,2,3,4]                => 0
[6,5,1,2,4,3]                => 0
[6,5,1,3,2,4]                => 0
[6,5,1,3,4,2]                => 2
[6,5,1,4,2,3]                => 0
[6,5,1,4,3,2]                => 0
[6,5,2,1,3,4]                => 0
[6,5,2,1,4,3]                => 0
[6,5,2,3,1,4]                => 2
[6,5,2,3,4,1]                => 6
[6,5,2,4,1,3]                => 2
[6,5,2,4,3,1]                => 4
[6,5,3,1,2,4]                => 0
[6,5,3,1,4,2]                => 2
[6,5,3,2,1,4]                => 0
[6,5,3,2,4,1]                => 5
[6,5,3,4,1,2]                => 4
[6,5,3,4,2,1]                => 4
[6,5,4,1,2,3]                => 0
[6,5,4,1,3,2]                => 0
[6,5,4,2,1,3]                => 0
[6,5,4,2,3,1]                => 3
[6,5,4,3,1,2]                => 0
[6,5,4,3,2,1]                => 0
[1,2,3,4,5,6,7]              => 0
[1,2,3,4,5,7,6]              => 0
[1,2,3,4,6,5,7]              => 0
[1,2,3,4,6,7,5]              => 0
[1,2,3,4,7,5,6]              => 0
[1,2,3,4,7,6,5]              => 0
[1,2,3,5,4,6,7]              => 0
[1,2,3,5,4,7,6]              => 0
[1,2,3,5,6,4,7]              => 0
[1,2,3,5,6,7,4]              => 0
[1,2,3,5,7,4,6]              => 0
[1,2,3,5,7,6,4]              => 0
[1,2,3,6,4,5,7]              => 0
[1,2,3,6,4,7,5]              => 0
[1,2,3,6,5,4,7]              => 0
[1,2,3,6,5,7,4]              => 1
[1,2,3,6,7,4,5]              => 0
[1,2,3,6,7,5,4]              => 0
[1,2,3,7,4,5,6]              => 0
[1,2,3,7,4,6,5]              => 0
[1,2,3,7,5,4,6]              => 0
[1,2,3,7,5,6,4]              => 1
[1,2,3,7,6,4,5]              => 0
[1,2,3,7,6,5,4]              => 0
[1,2,4,3,5,6,7]              => 0
[1,2,4,3,5,7,6]              => 0
[1,2,4,3,6,5,7]              => 0
[1,2,4,3,6,7,5]              => 0
[1,2,4,3,7,5,6]              => 0
[1,2,4,3,7,6,5]              => 0
[1,2,4,5,3,6,7]              => 0
[1,2,4,5,3,7,6]              => 0
[1,2,4,5,6,3,7]              => 0
[1,2,4,5,6,7,3]              => 0
[1,2,4,5,7,3,6]              => 0
[1,2,4,5,7,6,3]              => 0
[1,2,4,6,3,5,7]              => 0
[1,2,4,6,3,7,5]              => 0
[1,2,4,6,5,3,7]              => 0
[1,2,4,6,5,7,3]              => 1
[1,2,4,6,7,3,5]              => 0
[1,2,4,6,7,5,3]              => 0
[1,2,4,7,3,5,6]              => 0
[1,2,4,7,3,6,5]              => 0
[1,2,4,7,5,3,6]              => 0
[1,2,4,7,5,6,3]              => 1
[1,2,4,7,6,3,5]              => 0
[1,2,4,7,6,5,3]              => 0
[1,2,5,3,4,6,7]              => 0
[1,2,5,3,4,7,6]              => 0
[1,2,5,3,6,4,7]              => 0
[1,2,5,3,6,7,4]              => 0
[1,2,5,3,7,4,6]              => 0
[1,2,5,3,7,6,4]              => 0
[1,2,5,4,3,6,7]              => 0
[1,2,5,4,3,7,6]              => 0
[1,2,5,4,6,3,7]              => 1
[1,2,5,4,6,7,3]              => 2
[1,2,5,4,7,3,6]              => 1
[1,2,5,4,7,6,3]              => 2
[1,2,5,6,3,4,7]              => 0
[1,2,5,6,3,7,4]              => 0
[1,2,5,6,4,3,7]              => 0
[1,2,5,6,4,7,3]              => 2
[1,2,5,6,7,3,4]              => 0
[1,2,5,6,7,4,3]              => 0
[1,2,5,7,3,4,6]              => 0
[1,2,5,7,3,6,4]              => 0
[1,2,5,7,4,3,6]              => 0
[1,2,5,7,4,6,3]              => 2
[1,2,5,7,6,3,4]              => 0
[1,2,5,7,6,4,3]              => 0
[1,2,6,3,4,5,7]              => 0
[1,2,6,3,4,7,5]              => 0
[1,2,6,3,5,4,7]              => 0
[1,2,6,3,5,7,4]              => 1
[1,2,6,3,7,4,5]              => 0
[1,2,6,3,7,5,4]              => 0
[1,2,6,4,3,5,7]              => 0
[1,2,6,4,3,7,5]              => 0
[1,2,6,4,5,3,7]              => 1
[1,2,6,4,5,7,3]              => 3
[1,2,6,4,7,3,5]              => 1
[1,2,6,4,7,5,3]              => 2
[1,2,6,5,3,4,7]              => 0
[1,2,6,5,3,7,4]              => 1
[1,2,6,5,4,3,7]              => 0
[1,2,6,5,4,7,3]              => 3
[1,2,6,5,7,3,4]              => 2
[1,2,6,5,7,4,3]              => 2
[1,2,6,7,3,4,5]              => 0
[1,2,6,7,3,5,4]              => 0
[1,2,6,7,4,3,5]              => 0
[1,2,6,7,4,5,3]              => 2
[1,2,6,7,5,3,4]              => 0
[1,2,6,7,5,4,3]              => 0
[1,2,7,3,4,5,6]              => 0
[1,2,7,3,4,6,5]              => 0
[1,2,7,3,5,4,6]              => 0
[1,2,7,3,5,6,4]              => 1
[1,2,7,3,6,4,5]              => 0
[1,2,7,3,6,5,4]              => 0
[1,2,7,4,3,5,6]              => 0
[1,2,7,4,3,6,5]              => 0
[1,2,7,4,5,3,6]              => 1
[1,2,7,4,5,6,3]              => 3
[1,2,7,4,6,3,5]              => 1
[1,2,7,4,6,5,3]              => 2
[1,2,7,5,3,4,6]              => 0
[1,2,7,5,3,6,4]              => 1
[1,2,7,5,4,3,6]              => 0
[1,2,7,5,4,6,3]              => 3
[1,2,7,5,6,3,4]              => 2
[1,2,7,5,6,4,3]              => 2
[1,2,7,6,3,4,5]              => 0
[1,2,7,6,3,5,4]              => 0
[1,2,7,6,4,3,5]              => 0
[1,2,7,6,4,5,3]              => 2
[1,2,7,6,5,3,4]              => 0
[1,2,7,6,5,4,3]              => 0
[1,3,2,4,5,6,7]              => 0
[1,3,2,4,5,7,6]              => 0
[1,3,2,4,6,5,7]              => 0
[1,3,2,4,6,7,5]              => 0
[1,3,2,4,7,5,6]              => 0
[1,3,2,4,7,6,5]              => 0
[1,3,2,5,4,6,7]              => 0
[1,3,2,5,4,7,6]              => 0
[1,3,2,5,6,4,7]              => 0
[1,3,2,5,6,7,4]              => 0
[1,3,2,5,7,4,6]              => 0
[1,3,2,5,7,6,4]              => 0
[1,3,2,6,4,5,7]              => 0
[1,3,2,6,4,7,5]              => 0
[1,3,2,6,5,4,7]              => 0
[1,3,2,6,5,7,4]              => 1
[1,3,2,6,7,4,5]              => 0
[1,3,2,6,7,5,4]              => 0
[1,3,2,7,4,5,6]              => 0
[1,3,2,7,4,6,5]              => 0
[1,3,2,7,5,4,6]              => 0
[1,3,2,7,5,6,4]              => 1
[1,3,2,7,6,4,5]              => 0
[1,3,2,7,6,5,4]              => 0
[1,3,4,2,5,6,7]              => 0
[1,3,4,2,5,7,6]              => 0
[1,3,4,2,6,5,7]              => 0
[1,3,4,2,6,7,5]              => 0
[1,3,4,2,7,5,6]              => 0
[1,3,4,2,7,6,5]              => 0
[1,3,4,5,2,6,7]              => 0
[1,3,4,5,2,7,6]              => 0
[1,3,4,5,6,2,7]              => 0
[1,3,4,5,6,7,2]              => 0
[1,3,4,5,7,2,6]              => 0
[1,3,4,5,7,6,2]              => 0
[1,3,4,6,2,5,7]              => 0
[1,3,4,6,2,7,5]              => 0
[1,3,4,6,5,2,7]              => 0
[1,3,4,6,5,7,2]              => 1
[1,3,4,6,7,2,5]              => 0
[1,3,4,6,7,5,2]              => 0
[1,3,4,7,2,5,6]              => 0
[1,3,4,7,2,6,5]              => 0
[1,3,4,7,5,2,6]              => 0
[1,3,4,7,5,6,2]              => 1
[1,3,4,7,6,2,5]              => 0
[1,3,4,7,6,5,2]              => 0
[1,3,5,2,4,6,7]              => 0
[1,3,5,2,4,7,6]              => 0
[1,3,5,2,6,4,7]              => 0
[1,3,5,2,6,7,4]              => 0
[1,3,5,2,7,4,6]              => 0
[1,3,5,2,7,6,4]              => 0
[1,3,5,4,2,6,7]              => 0
[1,3,5,4,2,7,6]              => 0
[1,3,5,4,6,2,7]              => 1
[1,3,5,4,6,7,2]              => 2
[1,3,5,4,7,2,6]              => 1
[1,3,5,4,7,6,2]              => 2
[1,3,5,6,2,4,7]              => 0
[1,3,5,6,2,7,4]              => 0
[1,3,5,6,4,2,7]              => 0
[1,3,5,6,4,7,2]              => 2
[1,3,5,6,7,2,4]              => 0
[1,3,5,6,7,4,2]              => 0
[1,3,5,7,2,4,6]              => 0
[1,3,5,7,2,6,4]              => 0
[1,3,5,7,4,2,6]              => 0
[1,3,5,7,4,6,2]              => 2
[1,3,5,7,6,2,4]              => 0
[1,3,5,7,6,4,2]              => 0
[1,3,6,2,4,5,7]              => 0
[1,3,6,2,4,7,5]              => 0
[1,3,6,2,5,4,7]              => 0
[1,3,6,2,5,7,4]              => 1
[1,3,6,2,7,4,5]              => 0
[1,3,6,2,7,5,4]              => 0
[1,3,6,4,2,5,7]              => 0
[1,3,6,4,2,7,5]              => 0
[1,3,6,4,5,2,7]              => 1
[1,3,6,4,5,7,2]              => 3
[1,3,6,4,7,2,5]              => 1
[1,3,6,4,7,5,2]              => 2
[1,3,6,5,2,4,7]              => 0
[1,3,6,5,2,7,4]              => 1
[1,3,6,5,4,2,7]              => 0
[1,3,6,5,4,7,2]              => 3
[1,3,6,5,7,2,4]              => 2
[1,3,6,5,7,4,2]              => 2
[1,3,6,7,2,4,5]              => 0
[1,3,6,7,2,5,4]              => 0
[1,3,6,7,4,2,5]              => 0
[1,3,6,7,4,5,2]              => 2
[1,3,6,7,5,2,4]              => 0
[1,3,6,7,5,4,2]              => 0
[1,3,7,2,4,5,6]              => 0
[1,3,7,2,4,6,5]              => 0
[1,3,7,2,5,4,6]              => 0
[1,3,7,2,5,6,4]              => 1
[1,3,7,2,6,4,5]              => 0
[1,3,7,2,6,5,4]              => 0
[1,3,7,4,2,5,6]              => 0
[1,3,7,4,2,6,5]              => 0
[1,3,7,4,5,2,6]              => 1
[1,3,7,4,5,6,2]              => 3
[1,3,7,4,6,2,5]              => 1
[1,3,7,4,6,5,2]              => 2
[1,3,7,5,2,4,6]              => 0
[1,3,7,5,2,6,4]              => 1
[1,3,7,5,4,2,6]              => 0
[1,3,7,5,4,6,2]              => 3
[1,3,7,5,6,2,4]              => 2
[1,3,7,5,6,4,2]              => 2
[1,3,7,6,2,4,5]              => 0
[1,3,7,6,2,5,4]              => 0
[1,3,7,6,4,2,5]              => 0
[1,3,7,6,4,5,2]              => 2
[1,3,7,6,5,2,4]              => 0
[1,3,7,6,5,4,2]              => 0
[1,4,2,3,5,6,7]              => 0
[1,4,2,3,5,7,6]              => 0
[1,4,2,3,6,5,7]              => 0
[1,4,2,3,6,7,5]              => 0
[1,4,2,3,7,5,6]              => 0
[1,4,2,3,7,6,5]              => 0
[1,4,2,5,3,6,7]              => 0
[1,4,2,5,3,7,6]              => 0
[1,4,2,5,6,3,7]              => 0
[1,4,2,5,6,7,3]              => 0
[1,4,2,5,7,3,6]              => 0
[1,4,2,5,7,6,3]              => 0
[1,4,2,6,3,5,7]              => 0
[1,4,2,6,3,7,5]              => 0
[1,4,2,6,5,3,7]              => 0
[1,4,2,6,5,7,3]              => 1
[1,4,2,6,7,3,5]              => 0
[1,4,2,6,7,5,3]              => 0
[1,4,2,7,3,5,6]              => 0
[1,4,2,7,3,6,5]              => 0
[1,4,2,7,5,3,6]              => 0
[1,4,2,7,5,6,3]              => 1
[1,4,2,7,6,3,5]              => 0
[1,4,2,7,6,5,3]              => 0
[1,4,3,2,5,6,7]              => 0
[1,4,3,2,5,7,6]              => 0
[1,4,3,2,6,5,7]              => 0
[1,4,3,2,6,7,5]              => 0
[1,4,3,2,7,5,6]              => 0
[1,4,3,2,7,6,5]              => 0
[1,4,3,5,2,6,7]              => 1
[1,4,3,5,2,7,6]              => 1
[1,4,3,5,6,2,7]              => 2
[1,4,3,5,6,7,2]              => 3
[1,4,3,5,7,2,6]              => 2
[1,4,3,5,7,6,2]              => 3
[1,4,3,6,2,5,7]              => 1
[1,4,3,6,2,7,5]              => 1
[1,4,3,6,5,2,7]              => 2
[1,4,3,6,5,7,2]              => 4
[1,4,3,6,7,2,5]              => 2
[1,4,3,6,7,5,2]              => 3
[1,4,3,7,2,5,6]              => 1
[1,4,3,7,2,6,5]              => 1
[1,4,3,7,5,2,6]              => 2
[1,4,3,7,5,6,2]              => 4
[1,4,3,7,6,2,5]              => 2
[1,4,3,7,6,5,2]              => 3
[1,4,5,2,3,6,7]              => 0
[1,4,5,2,3,7,6]              => 0
[1,4,5,2,6,3,7]              => 0
[1,4,5,2,6,7,3]              => 0
[1,4,5,2,7,3,6]              => 0
[1,4,5,2,7,6,3]              => 0
[1,4,5,3,2,6,7]              => 0
[1,4,5,3,2,7,6]              => 0
[1,4,5,3,6,2,7]              => 2
[1,4,5,3,6,7,2]              => 4
[1,4,5,3,7,2,6]              => 2
[1,4,5,3,7,6,2]              => 4
[1,4,5,6,2,3,7]              => 0
[1,4,5,6,2,7,3]              => 0
[1,4,5,6,3,2,7]              => 0
[1,4,5,6,3,7,2]              => 3
[1,4,5,6,7,2,3]              => 0
[1,4,5,6,7,3,2]              => 0
[1,4,5,7,2,3,6]              => 0
[1,4,5,7,2,6,3]              => 0
[1,4,5,7,3,2,6]              => 0
[1,4,5,7,3,6,2]              => 3
[1,4,5,7,6,2,3]              => 0
[1,4,5,7,6,3,2]              => 0
[1,4,6,2,3,5,7]              => 0
[1,4,6,2,3,7,5]              => 0
[1,4,6,2,5,3,7]              => 0
[1,4,6,2,5,7,3]              => 1
[1,4,6,2,7,3,5]              => 0
[1,4,6,2,7,5,3]              => 0
[1,4,6,3,2,5,7]              => 0
[1,4,6,3,2,7,5]              => 0
[1,4,6,3,5,2,7]              => 2
[1,4,6,3,5,7,2]              => 5
[1,4,6,3,7,2,5]              => 2
[1,4,6,3,7,5,2]              => 4
[1,4,6,5,2,3,7]              => 0
[1,4,6,5,2,7,3]              => 1
[1,4,6,5,3,2,7]              => 0
[1,4,6,5,3,7,2]              => 4
[1,4,6,7,2,3,5]              => 0
[1,4,6,7,5,3,2]              => 0
[1,4,7,2,3,5,6]              => 0
[1,4,7,6,5,3,2]              => 0
[1,5,2,3,4,7,6]              => 0
[1,5,2,7,3,4,6]              => 0
[1,5,4,7,6,3,2]              => 4
[1,5,6,2,7,3,4]              => 0
[1,5,6,4,7,3,2]              => 4
[1,5,6,7,2,3,4]              => 0
[1,5,6,7,4,3,2]              => 0
[1,5,7,2,3,4,6]              => 0
[1,5,7,6,4,3,2]              => 0
[1,6,2,3,4,7,5]              => 0
[1,6,2,3,7,4,5]              => 0
[1,6,2,7,3,4,5]              => 0
[1,6,5,4,3,7,2]              => 6
[1,6,5,4,7,3,2]              => 6
[1,6,5,7,4,3,2]              => 3
[1,6,7,2,3,4,5]              => 0
[1,6,7,5,4,3,2]              => 0
[1,7,2,3,4,5,6]              => 0
[1,7,3,5,6,4,2]              => 5
[1,7,3,6,5,4,2]              => 3
[1,7,4,3,6,5,2]              => 6
[1,7,4,5,3,6,2]              => 7
[1,7,4,5,6,3,2]              => 6
[1,7,4,6,5,3,2]              => 4
[1,7,5,4,3,6,2]              => 6
[1,7,5,4,6,3,2]              => 6
[1,7,6,4,5,3,2]              => 4
[1,7,6,5,4,3,2]              => 0
[2,1,3,4,5,6,7]              => 0
[2,1,3,4,7,5,6]              => 0
[2,1,3,7,4,5,6]              => 0
[2,1,6,3,4,5,7]              => 0
[2,1,7,3,4,5,6]              => 0
[2,1,7,6,5,4,3]              => 0
[2,3,1,4,5,6,7]              => 0
[2,3,4,1,5,6,7]              => 0
[2,3,4,1,5,7,6]              => 0
[2,3,4,5,1,6,7]              => 0
[2,3,4,5,1,7,6]              => 0
[2,3,4,5,6,1,7]              => 0
[2,3,4,5,6,7,1]              => 0
[2,3,4,5,7,1,6]              => 0
[2,3,4,6,1,7,5]              => 0
[2,3,4,6,7,1,5]              => 0
[2,3,4,7,1,5,6]              => 0
[2,3,5,6,7,1,4]              => 0
[2,4,1,3,5,6,7]              => 0
[2,5,1,3,4,6,7]              => 0
[2,5,7,1,3,4,6]              => 0
[2,6,1,3,4,5,7]              => 0
[2,6,1,7,3,4,5]              => 0
[2,6,5,4,3,1,7]              => 0
[2,6,7,1,3,4,5]              => 0
[2,7,1,3,4,5,6]              => 0
[3,1,2,4,5,6,7]              => 0
[3,1,2,4,5,7,6]              => 0
[3,2,1,4,5,6,7]              => 0
[3,2,4,5,6,7,1]              => 4
[3,4,1,2,5,6,7]              => 0
[3,4,2,5,6,7,1]              => 6
[3,4,5,2,6,7,1]              => 6
[3,4,5,6,2,7,1]              => 4
[3,4,5,6,7,1,2]              => 0
[3,5,6,1,2,4,7]              => 0
[3,5,6,4,2,1,7]              => 0
[3,6,1,2,4,5,7]              => 0
[3,6,5,4,2,1,7]              => 0
[4,1,2,3,5,6,7]              => 0
[4,1,2,3,5,7,6]              => 0
[4,1,6,2,3,5,7]              => 0
[4,2,3,5,6,7,1]              => 7
[4,2,5,1,3,6,7]              => 1
[4,3,2,1,5,6,7]              => 0
[4,3,2,5,6,7,1]              => 9
[4,3,5,2,6,7,1]              => 10
[4,3,6,5,2,1,7]              => 4
[4,5,1,6,2,3,7]              => 0
[4,5,2,3,6,7,1]              => 10
[4,5,3,6,2,1,7]              => 4
[4,5,6,1,2,3,7]              => 0
[4,5,6,3,2,1,7]              => 0
[4,6,1,2,3,5,7]              => 0
[4,6,1,2,3,7,5]              => 0
[4,6,5,3,2,1,7]              => 0
[5,1,2,3,4,6,7]              => 0
[5,1,2,3,4,7,6]              => 0
[5,1,2,3,6,4,7]              => 0
[5,1,2,3,6,7,4]              => 0
[5,1,2,3,7,4,6]              => 0
[5,1,2,6,3,4,7]              => 0
[5,1,6,2,3,4,7]              => 0
[5,1,6,2,3,7,4]              => 0
[5,2,3,4,6,7,1]              => 9
[5,2,6,7,1,3,4]              => 2
[5,3,2,4,6,7,1]              => 11
[5,3,2,6,1,4,7]              => 3
[5,3,6,7,1,2,4]              => 4
[5,4,3,2,1,6,7]              => 0
[5,4,3,2,1,7,6]              => 0
[5,4,3,2,6,1,7]              => 6
[5,4,3,6,2,1,7]              => 6
[5,4,6,3,2,1,7]              => 3
[5,4,6,7,1,2,3]              => 6
[5,6,1,2,3,4,7]              => 0
[5,6,1,2,3,7,4]              => 0
[5,6,3,4,1,2,7]              => 4
[5,6,4,3,2,1,7]              => 0
[5,6,7,1,2,3,4]              => 0
[6,1,2,3,4,5,7]              => 0
[6,1,2,3,4,7,5]              => 0
[6,1,2,3,7,4,5]              => 0
[6,1,2,7,3,4,5]              => 0
[6,2,3,4,5,7,1]              => 10
[6,2,4,5,3,1,7]              => 5
[6,2,5,4,3,1,7]              => 3
[6,3,2,5,4,1,7]              => 6
[6,3,4,2,5,1,7]              => 7
[6,3,4,5,2,1,7]              => 6
[6,3,4,7,1,2,5]              => 6
[6,3,5,4,2,1,7]              => 4
[6,4,3,2,5,1,7]              => 6
[6,4,3,2,7,1,5]              => 6
[6,4,3,5,2,1,7]              => 6
[6,4,5,7,1,2,3]              => 9
[6,4,7,2,5,1,3]              => 8
[6,4,7,3,5,1,2]              => 11
[6,5,3,4,2,1,7]              => 4
[6,5,4,3,2,1,7]              => 0
[6,5,7,3,4,1,2]              => 10
[6,7,1,2,3,4,5]              => 0
[6,7,3,4,1,2,5]              => 4
[6,7,4,5,1,2,3]              => 6
[7,1,2,3,4,5,6]              => 0
[7,2,1,3,4,5,6]              => 0
[7,2,3,1,4,5,6]              => 1
[7,2,3,4,1,5,6]              => 3
[7,2,3,4,5,1,6]              => 6
[7,3,1,2,4,5,6]              => 0
[7,3,2,1,4,5,6]              => 0
[7,3,2,4,1,5,6]              => 3
[7,3,4,1,2,5,6]              => 2
[7,4,1,2,3,5,6]              => 0
[7,4,2,1,3,5,6]              => 0
[7,4,5,6,1,2,3]              => 9
[7,5,1,2,3,4,6]              => 0
[7,5,6,1,2,3,4]              => 4
[7,5,6,3,4,1,2]              => 10
[7,6,1,2,3,4,5]              => 0
[7,6,4,5,1,2,3]              => 6
[7,6,5,1,2,3,4]              => 0
[7,6,5,3,4,1,2]              => 6
[7,6,5,4,1,2,3]              => 0
[7,6,5,4,3,1,2]              => 0
[7,6,5,4,3,2,1]              => 0
[8,7,6,5,4,3,2,1]            => 0
[7,6,8,5,4,3,2,1]            => 5
[7,8,5,6,4,3,2,1]            => 8
[7,8,6,4,5,3,2,1]            => 9
[8,6,7,4,5,3,2,1]            => 14
[7,6,5,4,8,3,2,1]            => 18
[6,5,7,4,8,3,2,1]            => 16
[7,8,6,5,3,4,2,1]            => 8
[8,6,7,5,3,4,2,1]            => 13
[8,7,5,6,3,4,2,1]            => 16
[6,7,8,3,4,5,2,1]            => 18
[7,8,6,5,4,2,3,1]            => 5
[8,6,7,5,4,2,3,1]            => 10
[8,7,5,6,4,2,3,1]            => 13
[8,7,6,4,5,2,3,1]            => 14
[8,6,5,7,3,2,4,1]            => 21
[6,7,8,5,2,3,4,1]            => 12
[8,5,6,7,2,3,4,1]            => 24
[7,8,3,2,4,5,6,1]            => 21
[7,6,5,4,3,2,8,1]            => 15
[6,5,7,4,3,2,8,1]            => 17
[6,5,4,3,7,2,8,1]            => 23
[5,4,6,3,7,2,8,1]            => 20
[3,4,5,2,6,7,8,1]            => 9
[5,2,3,4,6,7,8,1]            => 12
[4,3,2,5,6,7,8,1]            => 12
[3,4,2,5,6,7,8,1]            => 8
[4,2,3,5,6,7,8,1]            => 9
[3,2,4,5,6,7,8,1]            => 5
[2,3,4,5,6,7,8,1]            => 0
[8,7,6,5,4,3,1,2]            => 0
[7,8,6,5,4,3,1,2]            => 0
[8,6,7,5,4,3,1,2]            => 5
[8,7,5,6,4,3,1,2]            => 8
[8,7,6,4,5,3,1,2]            => 9
[8,7,6,5,3,4,1,2]            => 8
[8,7,5,6,3,4,1,2]            => 16
[7,8,5,6,3,4,1,2]            => 16
[5,6,7,8,3,4,1,2]            => 8
[7,8,3,4,5,6,1,2]            => 24
[3,4,5,6,7,8,1,2]            => 0
[8,7,6,5,4,2,1,3]            => 0
[7,6,8,5,4,2,1,3]            => 5
[8,7,6,5,4,1,2,3]            => 0
[6,7,8,5,4,1,2,3]            => 0
[8,5,6,7,4,1,2,3]            => 12
[8,7,6,4,5,1,2,3]            => 9
[8,6,7,4,5,1,2,3]            => 14
[8,7,4,5,6,1,2,3]            => 18
[7,8,4,5,6,1,2,3]            => 18
[6,7,4,5,8,1,2,3]            => 18
[7,6,5,8,3,2,1,4]            => 12
[7,5,6,8,2,3,1,4]            => 16
[6,7,5,8,3,1,2,4]            => 8
[6,5,7,8,2,1,3,4]            => 8
[8,7,6,5,1,2,3,4]            => 0
[8,7,5,6,1,2,3,4]            => 8
[7,8,5,6,1,2,3,4]            => 8
[8,5,6,7,1,2,3,4]            => 12
[5,6,7,8,1,2,3,4]            => 0
[8,7,6,4,3,2,1,5]            => 0
[8,7,6,4,2,1,3,5]            => 0
[8,7,6,1,2,3,4,5]            => 0
[8,6,7,1,2,3,4,5]            => 5
[6,7,8,1,2,3,4,5]            => 0
[7,8,5,4,2,1,3,6]            => 0
[7,8,5,4,1,2,3,6]            => 0
[8,7,1,2,3,4,5,6]            => 0
[7,8,1,2,3,4,5,6]            => 0
[8,6,5,4,3,2,1,7]            => 0
[8,6,5,4,3,1,2,7]            => 0
[8,5,6,3,4,1,2,7]            => 10
[8,6,5,4,2,1,3,7]            => 0
[8,6,4,3,2,1,5,7]            => 0
[8,6,4,2,1,3,5,7]            => 0
[8,2,3,4,1,5,6,7]            => 3
[8,4,1,2,3,5,6,7]            => 0
[8,3,2,1,4,5,6,7]            => 0
[8,2,3,1,4,5,6,7]            => 1
[8,3,1,2,4,5,6,7]            => 0
[8,2,1,3,4,5,6,7]            => 0
[8,1,2,3,4,5,6,7]            => 0
[7,6,5,4,3,2,1,8]            => 0
[6,7,5,4,3,2,1,8]            => 0
[6,5,7,4,3,2,1,8]            => 4
[5,6,7,4,3,2,1,8]            => 0
[7,6,4,5,3,2,1,8]            => 6
[6,5,4,7,3,2,1,8]            => 9
[7,5,6,3,4,2,1,8]            => 10
[7,6,4,3,5,2,1,8]            => 10
[7,6,3,4,5,2,1,8]            => 12
[7,5,4,3,6,2,1,8]            => 12
[6,7,5,4,2,3,1,8]            => 4
[6,5,7,3,2,4,1,8]            => 11
[5,6,7,2,3,4,1,8]            => 9
[2,3,4,5,6,7,1,8]            => 0
[5,6,7,1,2,3,4,8]            => 0
[6,7,1,2,3,4,5,8]            => 0
[7,1,2,3,4,5,6,8]            => 0
[6,5,4,3,2,1,7,8]            => 0
[2,3,4,5,6,1,7,8]            => 0
[5,6,3,4,1,2,7,8]            => 4
[4,5,6,1,2,3,7,8]            => 0
[6,1,2,3,4,5,7,8]            => 0
[5,4,3,2,1,6,7,8]            => 0
[2,3,4,5,1,6,7,8]            => 0
[5,1,2,3,4,6,7,8]            => 0
[4,3,2,1,5,6,7,8]            => 0
[3,4,1,2,5,6,7,8]            => 0
[3,2,1,4,5,6,7,8]            => 0
[2,1,3,4,5,6,7,8]            => 0
[1,2,3,4,5,6,7,8]            => 0
[6,5,8,7,4,3,2,1]            => 8
[3,5,8,7,6,4,2,1]            => 0
[4,3,6,5,8,7,2,1]            => 12
[2,6,8,7,5,4,3,1]            => 0
[2,3,5,6,8,7,4,1]            => 0
[3,2,6,5,4,8,7,1]            => 11
[4,3,6,5,7,2,8,1]            => 15
[3,2,6,5,7,4,8,1]            => 11
[4,3,5,2,7,6,8,1]            => 15
[3,2,5,4,7,6,8,1]            => 9
[1,8,7,6,5,4,3,2]            => 0
[1,7,8,6,5,4,3,2]            => 0
[1,6,8,7,5,4,3,2]            => 0
[1,7,6,8,5,4,3,2]            => 4
[1,6,7,8,5,4,3,2]            => 0
[1,5,8,7,6,4,3,2]            => 0
[1,7,6,5,8,4,3,2]            => 9
[1,3,5,7,8,6,4,2]            => 0
[1,4,3,8,7,6,5,2]            => 4
[1,6,5,4,3,8,7,2]            => 12
[1,4,3,6,5,8,7,2]            => 6
[2,1,8,7,6,5,4,3]            => 0
[2,1,6,5,7,4,8,3]            => 6
[2,1,5,4,7,6,8,3]            => 4
[1,2,6,7,8,5,4,3]            => 0
[3,2,1,8,7,6,5,4]            => 0
[3,2,1,6,5,8,7,4]            => 2
[1,2,3,5,6,7,8,4]            => 0
[4,3,2,1,8,7,6,5]            => 0
[3,4,2,1,7,8,6,5]            => 0
[2,4,3,1,6,8,7,5]            => 0
[2,4,3,1,7,6,8,5]            => 1
[3,2,4,1,6,8,7,5]            => 1
[3,2,4,1,7,6,8,5]            => 2
[2,3,4,1,6,7,8,5]            => 0
[2,1,4,3,8,7,6,5]            => 0
[2,1,4,3,6,8,7,5]            => 0
[2,1,4,3,7,6,8,5]            => 1
[5,4,3,2,1,8,7,6]            => 0
[3,2,5,4,1,8,7,6]            => 2
[3,2,1,4,5,8,7,6]            => 0
[2,3,1,4,5,7,8,6]            => 0
[6,5,4,3,2,1,8,7]            => 0
[4,3,5,2,6,1,8,7]            => 6
[3,2,5,4,6,1,8,7]            => 4
[2,3,4,5,6,1,8,7]            => 0
[2,1,6,5,4,3,8,7]            => 0
[2,1,4,6,5,3,8,7]            => 0
[2,1,5,4,6,3,8,7]            => 1
[4,3,2,1,6,5,8,7]            => 0
[2,4,3,1,6,5,8,7]            => 0
[3,2,4,1,6,5,8,7]            => 1
[2,1,4,3,6,5,8,7]            => 0
[2,1,3,4,5,6,8,7]            => 0
[1,2,3,4,5,6,8,7]            => 0
[5,7,6,4,3,2,1,8]            => 0
[4,7,6,5,3,2,1,8]            => 0
[3,2,7,6,5,4,1,8]            => 4
[5,4,3,2,7,6,1,8]            => 12
[3,2,5,4,7,6,1,8]            => 6
[1,4,3,2,7,6,5,8]            => 0
[1,3,4,2,6,7,5,8]            => 0
[1,3,2,5,4,7,6,8]            => 0
[1,2,3,5,4,7,6,8]            => 0
[1,3,2,4,5,7,6,8]            => 0
[1,2,3,4,5,7,6,8]            => 0
[1,2,4,3,6,5,7,8]            => 0
[1,3,2,5,4,6,7,8]            => 0
[1,2,3,5,4,6,7,8]            => 0
[1,3,2,4,5,6,7,8]            => 0
[1,8,4,7,6,5,3,2]            => 6
[1,8,5,4,7,6,3,2]            => 12
[1,8,7,4,5,6,3,2]            => 12
[1,8,7,4,6,5,3,2]            => 8
[1,8,6,5,4,7,3,2]            => 12
[1,8,7,5,4,6,3,2]            => 10
[1,8,7,5,6,4,3,2]            => 6
[2,1,4,5,8,6,7,3]            => 1
[2,1,8,5,4,7,6,3]            => 6
[2,3,4,8,5,6,7,1]            => 3
[2,3,6,4,5,1,8,7]            => 1
[2,3,7,4,5,6,8,1]            => 6
[2,8,4,3,5,7,6,1]            => 11
[4,2,3,1,8,6,7,5]            => 2
[8,2,7,4,6,5,3,1]            => 13
[4,3,2,7,5,6,8,1]            => 15
[4,3,2,8,5,7,6,1]            => 14
[6,3,2,5,4,1,8,7]            => 6
[8,3,2,5,4,7,6,1]            => 18
[8,3,2,7,6,5,4,1]            => 12
[8,3,7,4,6,5,2,1]            => 16
[7,3,6,5,4,2,1,8]            => 6
[7,4,3,6,5,2,1,8]            => 12
[7,6,3,5,4,2,1,8]            => 8
[8,5,4,3,2,7,6,1]            => 20
[8,7,4,3,6,5,2,1]            => 20
[2,4,6,8,1,3,5,7]            => 0
[2,4,6,1,7,3,8,5]            => 0
[2,1,4,3,7,5,8,6]            => 0
[2,4,1,3,7,5,8,6]            => 0
[2,1,4,3,7,8,5,6]            => 0
[2,4,7,8,1,3,5,6]            => 0
[2,1,4,3,8,5,6,7]            => 0
[2,4,5,6,7,1,8,3]            => 0
[2,1,5,3,6,4,8,7]            => 0
[2,1,5,6,3,4,8,7]            => 0
[2,5,6,8,1,3,4,7]            => 0
[2,1,5,3,7,4,8,6]            => 0
[2,5,1,7,3,4,8,6]            => 0
[2,1,5,7,3,8,4,6]            => 0
[2,5,7,8,1,3,4,6]            => 0
[2,3,5,6,1,7,8,4]            => 0
[2,1,6,3,7,4,8,5]            => 0
[2,6,7,1,3,4,8,5]            => 0
[2,1,6,7,8,3,4,5]            => 0
[2,6,7,8,1,3,4,5]            => 0
[2,1,6,3,4,7,8,5]            => 0
[2,1,6,3,4,5,8,7]            => 0
[2,6,1,3,4,5,7,8]            => 0
[2,7,8,1,3,4,5,6]            => 0
[2,7,1,3,4,5,6,8]            => 0
[2,3,4,5,7,8,1,6]            => 0
[2,1,8,3,4,5,6,7]            => 0
[2,8,1,3,4,5,6,7]            => 0
[2,1,3,8,4,5,6,7]            => 0
[2,3,4,5,6,8,1,7]            => 0
[3,1,4,2,6,5,8,7]            => 0
[3,4,1,2,6,5,8,7]            => 0
[3,1,4,2,6,8,5,7]            => 0
[3,4,6,8,1,2,5,7]            => 0
[3,1,4,2,7,5,8,6]            => 0
[3,4,1,2,7,8,5,6]            => 0
[3,4,7,8,1,2,5,6]            => 0
[3,1,5,2,6,4,8,7]            => 0
[3,5,1,6,2,4,8,7]            => 0
[3,1,5,6,2,8,4,7]            => 0
[3,5,6,8,1,2,4,7]            => 0
[3,1,5,2,7,4,8,6]            => 0
[3,5,1,7,2,8,4,6]            => 0
[3,5,7,8,1,2,4,6]            => 0
[1,3,2,5,4,8,6,7]            => 0
[1,3,5,8,2,4,6,7]            => 0
[1,3,5,6,2,7,4,8]            => 0
[3,1,6,2,7,4,8,5]            => 0
[3,6,7,1,2,8,4,5]            => 0
[3,6,1,7,8,2,4,5]            => 0
[3,6,7,8,1,2,4,5]            => 0
[1,3,2,6,4,7,5,8]            => 0
[3,1,2,6,7,4,8,5]            => 0
[1,3,2,6,4,8,5,7]            => 0
[1,3,2,6,4,5,7,8]            => 0
[1,3,2,7,4,8,5,6]            => 0
[1,3,2,7,4,5,6,8]            => 0
[1,3,2,8,4,5,6,7]            => 0
[3,1,2,4,5,8,6,7]            => 0
[1,3,2,4,5,8,6,7]            => 0
[4,1,5,2,6,3,8,7]            => 0
[4,5,6,1,2,3,8,7]            => 0
[4,1,5,6,8,2,3,7]            => 0
[4,5,6,8,1,2,3,7]            => 0
[4,1,5,2,7,3,8,6]            => 0
[4,1,5,2,7,8,3,6]            => 0
[4,5,7,1,2,8,3,6]            => 0
[4,5,1,7,8,2,3,6]            => 0
[4,5,7,8,1,2,3,6]            => 0
[1,4,2,5,3,7,6,8]            => 0
[1,4,2,5,3,8,6,7]            => 0
[1,4,2,5,3,6,7,8]            => 0
[1,4,5,6,7,2,3,8]            => 0
[4,1,6,2,7,3,8,5]            => 0
[4,6,7,1,8,2,3,5]            => 0
[4,6,7,8,1,2,3,5]            => 0
[1,4,2,6,3,7,5,8]            => 0
[1,4,2,6,7,8,3,5]            => 0
[1,4,2,6,3,8,5,7]            => 0
[4,1,2,3,6,5,8,7]            => 0
[1,4,2,6,3,5,7,8]            => 0
[1,4,2,7,3,8,5,6]            => 0
[4,7,1,2,3,5,6,8]            => 0
[1,4,2,7,3,5,6,8]            => 0
[1,4,2,3,7,5,6,8]            => 0
[1,4,2,3,5,7,6,8]            => 0
[1,4,2,8,3,5,6,7]            => 0
[4,1,2,3,8,5,6,7]            => 0
[1,4,2,3,5,8,6,7]            => 0
[1,4,2,3,5,6,7,8]            => 0
[5,1,6,2,7,3,8,4]            => 0
[1,5,2,6,3,7,4,8]            => 0
[1,5,2,6,3,8,4,7]            => 0
[1,5,2,6,3,4,7,8]            => 0
[1,2,5,6,3,4,7,8]            => 0
[1,5,2,7,3,8,4,6]            => 0
[5,7,1,2,3,4,6,8]            => 0
[1,5,2,7,3,4,6,8]            => 0
[1,5,2,3,4,7,6,8]            => 0
[5,1,2,8,3,4,6,7]            => 0
[1,5,2,8,3,4,6,7]            => 0
[1,5,8,2,3,4,6,7]            => 0
[1,5,2,3,4,8,6,7]            => 0
[1,2,3,5,4,8,6,7]            => 0
[5,1,2,3,4,6,8,7]            => 0
[1,5,2,3,4,6,7,8]            => 0
[1,6,2,7,3,8,4,5]            => 0
[1,6,7,8,2,3,4,5]            => 0
[6,7,1,2,3,4,8,5]            => 0
[6,1,7,2,3,4,5,8]            => 0
[6,1,2,7,3,4,5,8]            => 0
[1,6,2,7,3,4,5,8]            => 0
[1,6,7,2,3,4,5,8]            => 0
[1,6,2,3,4,7,5,8]            => 0
[1,2,3,6,4,7,5,8]            => 0
[6,1,8,2,3,4,5,7]            => 0
[1,6,2,8,3,4,5,7]            => 0
[1,6,8,2,3,4,5,7]            => 0
[1,6,2,3,4,8,5,7]            => 0
[1,2,3,6,4,8,5,7]            => 0
[6,1,2,3,4,5,8,7]            => 0
[1,6,2,3,4,5,7,8]            => 0
[1,2,3,6,4,5,7,8]            => 0
[1,7,2,8,3,4,5,6]            => 0
[1,7,8,2,3,4,5,6]            => 0
[1,7,2,3,8,4,5,6]            => 0
[7,1,2,3,4,8,5,6]            => 0
[1,7,2,3,4,8,5,6]            => 0
[1,2,3,7,4,8,5,6]            => 0
[7,1,2,3,4,5,8,6]            => 0
[1,7,2,3,4,5,8,6]            => 0
[1,2,7,3,4,5,8,6]            => 0
[1,7,2,3,4,5,6,8]            => 0
[1,2,3,7,4,5,6,8]            => 0
[1,8,2,3,4,5,6,7]            => 0
[1,2,3,8,4,5,6,7]            => 0
[1,2,3,4,5,8,6,7]            => 0
[5,3,2,6,1,4,8,7]            => 3
[7,3,2,5,4,8,1,6]            => 12
[8,4,5,2,3,7,6,1]            => 22
[7,4,5,2,3,8,1,6]            => 14
[6,4,5,2,3,1,8,7]            => 6
[5,4,6,2,1,3,8,7]            => 3
[3,6,1,5,4,2,8,7]            => 0
[4,6,5,1,3,2,8,7]            => 0
[5,6,4,3,1,2,8,7]            => 0
[7,5,4,3,2,8,1,6]            => 10
[8,6,4,3,7,2,5,1]            => 23
[7,6,4,3,8,2,1,5]            => 13
[6,7,4,3,8,1,2,5]            => 10
[5,7,4,3,1,8,2,6]            => 5
[4,7,5,1,3,8,2,6]            => 4
[3,7,1,5,4,8,2,6]            => 3
[2,1,7,5,4,8,3,6]            => 3
[3,8,1,5,4,7,6,2]            => 6
[4,8,5,1,3,7,6,2]            => 8
[5,8,4,3,1,7,6,2]            => 10
[6,8,4,3,7,1,5,2]            => 15
[7,8,4,3,6,5,1,2]            => 20
[6,8,5,7,3,1,4,2]            => 12
[5,8,6,7,1,3,4,2]            => 8
[4,8,6,1,7,3,5,2]            => 7
[3,8,1,6,7,4,5,2]            => 6
[2,1,8,6,7,4,5,3]            => 6
[2,1,7,6,8,4,3,5]            => 3
[3,7,1,6,8,4,2,5]            => 3
[4,7,6,1,8,3,2,5]            => 3
[5,7,6,8,1,3,2,4]            => 4
[5,4,7,2,1,8,3,6]            => 4
[6,4,7,2,8,1,3,5]            => 8
[7,4,6,2,8,3,1,5]            => 14
[8,4,6,2,7,3,5,1]            => 22
[8,3,2,6,7,4,5,1]            => 18
[7,3,2,6,8,4,1,5]            => 12
[6,3,2,7,8,1,4,5]            => 6
[5,3,2,7,1,8,4,6]            => 3
[4,3,2,1,7,8,5,6]            => 0
[3,4,1,2,8,7,6,5]            => 0
[5,3,2,8,1,7,6,4]            => 3
[6,3,2,8,7,1,5,4]            => 6
[7,3,2,8,6,5,1,4]            => 9
[8,4,7,2,6,5,3,1]            => 16
[7,4,8,2,6,5,1,3]            => 13
[6,4,8,2,7,1,5,3]            => 9
[5,4,8,2,1,7,6,3]            => 5
[4,5,8,1,2,7,6,3]            => 0
[3,5,1,8,2,7,6,4]            => 0
[2,1,5,8,3,7,6,4]            => 0
[2,1,6,8,7,3,5,4]            => 0
[3,6,1,8,7,2,5,4]            => 0
[4,6,8,1,7,2,5,3]            => 0
[5,6,8,7,1,2,4,3]            => 0
[6,5,8,7,2,1,4,3]            => 8
[7,5,8,6,2,4,1,3]            => 12
[8,5,7,6,2,4,3,1]            => 16
[5,7,8,6,1,4,2,3]            => 0
[4,7,8,1,6,5,2,3]            => 0
[3,7,1,8,6,5,2,4]            => 0
[2,1,7,8,6,5,3,4]            => 0
[3,8,1,7,6,5,4,2]            => 0
[4,8,7,1,6,5,3,2]            => 0
[5,8,7,6,1,4,3,2]            => 0
[6,8,7,5,4,1,3,2]            => 0
[4,2,5,1,3,6,7,8]            => 1
[5,2,6,7,1,3,4,8]            => 2
[3,2,7,8,1,4,5,6]            => 2
[5,3,2,6,1,4,7,8]            => 3
[7,4,3,8,1,2,5,6]            => 6
[4,7,3,6,8,1,2,5]            => 11
[6,7,3,4,8,1,2,5]            => 12
[5,4,2,7,8,1,3,6]            => 8
[6,4,7,2,5,1,3,8]            => 8
[6,4,3,2,7,1,5,8]            => 6
[5,4,3,2,8,1,6,7]            => 6
[7,5,3,8,2,6,1,4]            => 15
[8,5,4,7,2,6,1,3]            => 19
[8,5,4,7,3,6,1,2]            => 23
[8,1,2,7,6,3,4,5]            => 0
[8,1,4,2,6,3,5,7]            => 1
[8,3,1,2,4,7,5,6]            => 0
[8,3,1,5,6,2,4,7]            => 4
[6,3,8,1,2,7,4,5]            => 2
[7,8,4,1,6,2,3,5]            => 4
[8,3,4,1,6,7,2,5]            => 8
[2,7,6,5,1,3,8,4]            => 3
[8,3,6,5,1,7,2,4]            => 11
[4,6,7,3,8,5,1,2]            => 12
[3,5,2,7,1,8,6,4]            => 2
[4,6,7,2,8,1,5,3]            => 3
[5,6,7,8,2,1,4,3]            => 0
[6,5,8,7,3,4,1,2]            => 16
[3,6,7,4,5,8,1,2]            => 12
[2,6,7,4,5,1,8,3]            => 8
[1,6,7,4,5,2,3,8]            => 4
[1,5,4,7,6,2,3,8]            => 4
[2,5,4,7,6,1,8,3]            => 6
[3,5,4,7,6,8,1,2]            => 8
[4,5,3,7,8,6,1,2]            => 12
[5,4,3,8,7,6,1,2]            => 18
[6,4,8,3,7,5,1,2]            => 19
[6,3,8,4,5,7,1,2]            => 20
[5,3,4,8,6,7,1,2]            => 16
[4,3,5,6,8,7,1,2]            => 8
[3,2,5,6,1,8,7,4]            => 2
[4,2,5,6,8,1,7,3]            => 3
[5,2,4,8,6,1,7,3]            => 9
[6,2,8,4,5,1,7,3]            => 11
[7,8,2,4,5,1,6,3]            => 12
[7,8,1,4,5,2,3,6]            => 4
[6,1,8,4,5,2,3,7]            => 4
[5,1,4,8,6,2,3,7]            => 4
[4,1,3,2,8,6,5,7]            => 0
[5,1,3,8,2,6,4,7]            => 1
[6,1,8,3,2,5,4,7]            => 0
[7,8,1,3,2,5,4,6]            => 0
[7,8,2,3,1,5,6,4]            => 4
[6,2,8,3,1,5,7,4]            => 4
[5,2,3,8,1,6,7,4]            => 4
[6,3,8,2,1,7,5,4]            => 2
[7,8,3,2,1,6,5,4]            => 0
[7,8,4,2,6,1,5,3]            => 9
[5,4,2,8,7,1,6,3]            => 9
[4,5,2,7,8,1,6,3]            => 4
[2,5,3,7,1,6,8,4]            => 2
[1,5,3,7,2,6,4,8]            => 1
[1,6,7,3,2,5,4,8]            => 0
[2,6,7,3,1,5,8,4]            => 2
[3,6,7,2,1,8,5,4]            => 0
[7,8,5,6,2,1,4,3]            => 8
[6,5,8,7,1,2,3,4]            => 8
[5,4,1,8,7,2,3,6]            => 4
[6,4,8,1,7,2,3,5]            => 5
[7,8,3,1,2,6,4,5]            => 0
[5,3,1,8,2,7,4,6]            => 1
[4,3,1,2,8,7,5,6]            => 0
[4,2,1,3,8,5,7,6]            => 0
[5,2,1,8,3,4,7,6]            => 0
[6,2,8,1,3,4,7,5]            => 1
[7,8,2,1,3,4,6,5]            => 0
[6,3,1,5,2,4,8,7]            => 1
[2,1,8,5,3,7,4,6]            => 1
[8,2,6,1,4,3,7,5]            => 2
[4,7,1,5,8,3,2,6]            => 2
[8,6,1,3,4,2,5,7]            => 2
[8,1,2,4,5,6,3,7]            => 3
[8,2,5,1,3,6,4,7]            => 2
[4,1,5,3,7,2,8,6]            => 2
[5,2,7,1,3,8,4,6]            => 1
[5,3,1,7,8,2,4,6]            => 2
[1,7,3,4,2,5,8,6]            => 1
[4,7,2,1,3,5,8,6]            => 0
[4,5,2,3,7,6,1,8]            => 10
[6,4,3,7,2,5,1,8]            => 13
[8,4,3,6,5,1,2,7]            => 12
[1,5,6,3,4,8,7,2]            => 10
[4,6,2,7,3,5,1,8]            => 9
[3,2,6,7,4,5,1,8]            => 6
[4,7,2,6,5,3,1,8]            => 6
[5,7,6,2,4,3,1,8]            => 6
[1,7,5,4,8,3,6,2]            => 13
[8,7,5,4,1,3,2,6]            => 0
[6,8,5,4,2,1,3,7]            => 0
[5,8,6,2,4,1,3,7]            => 3
[4,8,2,6,5,1,3,7]            => 4
[3,2,8,6,5,1,4,7]            => 3
[4,1,2,6,5,8,7,3]            => 2
[5,1,6,2,4,8,7,3]            => 4
[6,1,5,4,2,8,7,3]            => 6
[7,1,5,4,8,2,6,3]            => 9
[8,1,5,4,7,6,2,3]            => 12
[1,8,6,7,4,5,3,2]            => 10
[8,1,6,7,4,5,2,3]            => 10
[7,1,6,8,4,2,5,3]            => 7
[6,1,7,8,2,4,5,3]            => 3
[5,1,7,2,8,4,6,3]            => 3
[4,1,2,7,8,5,6,3]            => 2
[3,2,1,7,8,5,6,4]            => 2
[3,2,8,7,1,5,4,6]            => 2
[4,8,2,7,1,5,3,6]            => 2
[5,8,7,2,1,4,3,6]            => 0
[6,8,7,1,2,4,3,5]            => 0
[7,8,6,1,4,2,3,5]            => 0
[8,7,6,1,4,3,2,5]            => 0
[1,7,6,8,4,3,5,2]            => 11
[1,6,7,8,3,4,5,2]            => 9
[8,6,7,1,3,4,2,5]            => 8
[7,6,8,1,3,2,4,5]            => 5
[5,7,8,2,1,3,4,6]            => 0
[4,7,2,8,1,3,5,6]            => 2
[3,2,6,8,4,1,5,7]            => 3
[4,6,2,8,3,1,5,7]            => 4
[5,6,8,2,3,1,4,7]            => 3
[6,5,8,3,2,1,4,7]            => 4
[7,5,8,3,1,2,4,6]            => 4
[8,5,7,3,1,4,2,6]            => 7
[1,5,7,3,8,4,6,2]            => 9
[1,4,3,7,8,5,6,2]            => 6
[8,4,3,7,1,5,2,6]            => 9
[6,4,3,8,2,1,5,7]            => 6
[4,5,2,3,8,1,6,7]            => 6
[3,2,5,4,8,1,6,7]            => 4
[4,5,2,3,1,8,7,6]            => 2
[6,4,3,1,2,8,7,5]            => 0
[7,4,3,1,8,2,6,5]            => 3
[8,4,3,1,7,6,2,5]            => 6
[1,5,8,3,7,6,4,2]            => 6
[8,5,1,3,7,6,2,4]            => 8
[7,5,1,3,8,2,6,4]            => 5
[6,5,1,3,2,8,7,4]            => 2
[5,6,1,2,3,8,7,4]            => 0
[4,6,2,1,3,8,7,5]            => 0
[3,2,6,1,4,8,7,5]            => 1
[3,2,7,1,8,4,6,5]            => 1
[4,7,2,1,8,3,6,5]            => 0
[5,7,1,2,8,3,6,4]            => 0
[6,7,1,8,2,3,5,4]            => 0
[7,6,1,8,3,2,5,4]            => 4
[8,6,1,7,3,5,2,4]            => 7
[1,6,8,7,3,5,4,2]            => 6
[1,7,8,6,5,3,4,2]            => 4
[8,7,1,6,5,3,2,4]            => 0
[7,8,1,6,5,2,3,4]            => 0
[6,8,1,7,2,5,3,4]            => 0
[5,8,1,2,7,6,3,4]            => 0
[4,8,2,1,7,6,3,5]            => 0
[3,2,8,1,7,6,4,5]            => 1
[4,1,2,8,7,6,5,3]            => 0
[5,1,8,2,7,6,4,3]            => 0
[6,1,8,7,2,5,4,3]            => 0
[7,1,8,6,5,2,4,3]            => 0
[8,1,7,6,5,4,2,3]            => 0
[1,4,3,8,7,5,6,2]            => 6
[4,1,2,8,7,5,6,3]            => 2
[3,2,5,1,6,4,8,7]            => 1
[3,2,5,4,7,1,8,6]            => 4
[4,2,5,3,7,6,8,1]            => 12
[4,2,5,3,7,1,8,6]            => 5
[4,2,5,3,6,1,8,7]            => 5
[4,2,5,1,6,3,8,7]            => 1
[3,1,5,4,6,2,8,7]            => 1
[4,1,5,3,6,2,8,7]            => 2
[4,3,5,1,6,2,8,7]            => 3
[4,3,5,2,7,1,8,6]            => 6
[4,3,6,2,7,5,8,1]            => 16
[4,3,6,2,7,1,8,5]            => 6
[4,3,6,1,7,2,8,5]            => 3
[4,3,5,1,7,2,8,6]            => 3
[3,1,5,4,7,2,8,6]            => 1
[2,1,5,4,7,3,8,6]            => 1
[3,1,5,4,7,6,8,2]            => 4
[4,1,5,3,7,6,8,2]            => 7
[4,3,5,1,7,6,8,2]            => 6
[4,3,6,1,7,5,8,2]            => 7
[4,3,6,5,7,1,8,2]            => 10
[5,3,6,4,7,2,8,1]            => 18
[5,3,6,4,7,1,8,2]            => 13
[5,3,6,1,7,4,8,2]            => 8
[5,1,6,3,7,4,8,2]            => 9
[4,1,6,3,7,5,8,2]            => 8
[3,1,6,4,7,5,8,2]            => 5
[2,1,6,4,7,5,8,3]            => 5
[2,1,6,4,7,3,8,5]            => 1
[3,1,6,4,7,2,8,5]            => 1
[4,1,6,3,7,2,8,5]            => 2
[5,1,6,3,7,2,8,4]            => 2
[5,3,6,1,7,2,8,4]            => 3
[5,3,6,2,7,1,8,4]            => 6
[5,3,6,2,7,4,8,1]            => 17
[5,2,6,3,7,4,8,1]            => 14
[5,2,6,3,7,1,8,4]            => 5
[5,2,6,1,7,3,8,4]            => 1
[4,2,5,1,7,3,8,6]            => 1
[4,2,6,1,7,3,8,5]            => 1
[4,2,6,3,7,1,8,5]            => 5
[4,2,6,3,7,5,8,1]            => 13
[3,2,6,4,7,5,8,1]            => 10
[3,2,6,4,7,1,8,5]            => 4
[3,2,6,1,7,4,8,5]            => 1
[3,2,5,1,7,4,8,6]            => 1
[3,2,4,1,7,5,8,6]            => 1
[3,1,4,2,7,6,8,5]            => 1
[3,2,5,1,7,6,8,4]            => 2
[3,2,6,1,7,5,8,4]            => 3
[3,2,6,5,7,1,8,4]            => 6
[4,2,6,5,7,3,8,1]            => 12
[4,2,6,5,7,1,8,3]            => 6
[4,2,6,1,7,5,8,3]            => 3
[4,2,5,1,7,6,8,3]            => 2
[4,1,5,2,7,6,8,3]            => 1
[3,1,5,2,7,6,8,4]            => 1
[2,1,5,3,7,6,8,4]            => 1
[2,1,6,3,7,5,8,4]            => 2
[3,1,6,2,7,5,8,4]            => 2
[4,1,6,2,7,5,8,3]            => 2
[5,1,6,2,7,4,8,3]            => 3
[5,2,6,1,7,4,8,3]            => 4
[5,2,6,4,7,1,8,3]            => 9
[5,2,6,4,7,3,8,1]            => 15
[5,4,6,2,7,3,8,1]            => 19
[5,4,6,2,7,1,8,3]            => 9
[5,4,6,1,7,2,8,3]            => 6
[5,1,6,4,7,2,8,3]            => 6
[4,1,6,5,7,2,8,3]            => 3
[3,1,6,5,7,2,8,4]            => 3
[2,1,6,5,7,3,8,4]            => 3
[3,1,6,5,7,4,8,2]            => 6
[4,1,6,5,7,3,8,2]            => 7
[5,1,6,4,7,3,8,2]            => 10
[5,4,6,1,7,3,8,2]            => 10
[5,4,6,3,7,1,8,2]            => 15
[8,3,5,2,1,6,4,7]            => 3
[8,6,3,5,2,4,1,7]            => 10
[3,7,5,2,4,1,8,6]            => 3
[8,3,7,5,2,4,6,1]            => 19
[8,2,4,5,7,3,6,1]            => 17
[2,4,5,7,3,1,8,6]            => 0
[8,2,4,6,5,3,1,7]            => 8
[8,2,5,4,6,1,3,7]            => 9
[8,6,3,5,1,4,2,7]            => 6
[8,6,1,4,5,3,2,7]            => 4
[8,1,5,6,4,3,2,7]            => 3
[5,7,4,3,2,1,8,6]            => 0
[8,5,7,4,3,2,6,1]            => 17
[4,6,8,3,2,7,5,1]            => 14
[4,7,6,3,2,8,1,5]            => 9
[1,4,6,7,3,2,8,5]            => 0
[5,4,7,3,1,8,2,6]            => 7
[1,7,4,5,3,2,8,6]            => 2
[3,7,5,1,4,2,8,6]            => 0
[5,7,4,2,1,3,8,6]            => 0
[8,5,7,4,2,1,6,3]            => 8
[8,3,7,5,1,4,6,2]            => 11
[8,4,1,7,5,3,6,2]            => 11
[4,6,3,8,7,1,5,2]            => 10
[1,7,4,8,6,3,5,2]            => 9
[8,4,7,6,3,5,2,1]            => 16
[3,6,5,8,7,4,1,2]            => 6
[3,1,5,8,6,7,4,2]            => 2
[4,8,1,6,7,3,5,2]            => 7
[3,6,4,1,8,7,5,2]            => 3
[8,2,6,1,4,7,5,3]            => 7
[2,7,6,8,1,4,3,5]            => 4
[3,7,1,6,4,8,2,5]            => 4
[1,7,3,5,6,8,2,4]            => 9
[1,3,6,7,5,8,2,4]            => 4
[3,7,6,5,8,2,1,4]            => 9
[3,6,8,5,7,2,4,1]            => 11
[2,3,5,7,6,8,1,4]            => 2
[2,1,6,5,7,8,3,4]            => 4
[4,2,7,6,8,3,1,5]            => 7
[4,2,6,8,7,3,5,1]            => 9
[3,8,2,4,6,7,5,1]            => 13
[3,7,2,6,4,8,1,5]            => 10
[3,2,6,1,4,7,8,5]            => 1
[5,3,7,2,1,8,4,6]            => 2
[4,7,3,2,1,5,8,6]            => 0
[8,7,6,1,3,4,2,5]            => 3
[8,5,7,3,2,1,6,4]            => 5
[8,3,6,7,2,1,5,4]            => 8
[3,7,8,6,2,1,5,4]            => 0
[8,7,6,3,5,2,4,1]            => 14
[2,7,4,8,1,6,5,3]            => 4
[4,6,8,2,1,7,5,3]            => 0
[8,4,1,5,7,2,6,3]            => 8
[8,5,3,7,1,6,2,4]            => 11
[8,5,7,2,1,3,6,4]            => 5
[8,2,6,7,1,3,5,4]            => 6
[8,3,6,1,7,5,2,4]            => 7
[4,6,1,8,7,2,5,3]            => 0
[8,1,2,5,6,7,4,3]            => 6
[8,2,6,5,7,4,1,3]            => 13
[2,1,7,8,5,6,4,3]            => 4
[8,2,5,7,6,4,3,1]            => 11
[2,7,6,8,5,4,1,3]            => 4
[1,7,2,5,8,6,4,3]            => 4
[1,7,4,8,2,6,5,3]            => 4
[3,7,8,1,6,5,2,4]            => 0
[2,7,8,6,1,3,5,4]            => 0
[8,7,6,3,5,1,4,2]            => 9
[8,4,7,6,5,1,3,2]            => 9
[8,7,1,5,6,4,3,2]            => 6
[8,1,6,7,5,4,3,2]            => 4
[5,4,3,6,1,2,8,7]            => 6
[2,7,6,4,5,8,1,3]            => 14
[5,7,3,6,1,8,2,4]            => 8
[2,1,7,6,5,8,3,4]            => 6
[6,4,3,5,8,1,7,2]            => 18
[7,3,5,4,8,6,1,2]            => 20
[5,4,3,2,7,1,8,6]            => 6
[4,3,6,2,8,7,5,1]            => 14
[4,3,7,6,2,1,8,5]            => 5
[6,4,3,1,7,2,8,5]            => 3
[4,3,7,1,8,6,5,2]            => 5
[5,3,8,7,6,4,2,1]            => 8
[7,5,3,1,8,6,4,2]            => 10
[1,8,6,5,3,7,4,2]            => 12
[6,1,7,5,3,2,8,4]            => 2
[7,6,5,3,2,1,8,4]            => 3
[6,5,3,2,8,7,4,1]            => 19
[5,2,6,3,8,7,4,1]            => 11
[5,2,7,6,3,1,8,4]            => 4
[6,5,2,1,7,3,8,4]            => 3
[5,2,7,1,8,6,4,3]            => 1
[6,2,8,7,5,4,3,1]            => 5
[7,6,2,1,8,5,4,3]            => 3
[6,1,7,2,8,5,4,3]            => 0
[7,1,8,6,5,4,3,2]            => 0
[4,5,2,6,3,1,8,7]            => 4
[6,5,2,1,4,3,8,7]            => 0
[6,5,2,7,4,8,3,1]            => 19
[8,5,2,7,4,1,6,3]            => 11
[8,3,7,5,2,1,6,4]            => 6
[6,3,7,5,2,8,4,1]            => 18
[3,1,6,5,4,2,8,7]            => 0
[5,6,3,2,4,1,8,7]            => 5
[3,6,2,4,1,5,8,7]            => 2
[2,6,1,3,5,4,8,7]            => 0
[6,7,2,3,4,8,5,1]            => 18
[8,7,2,3,4,1,6,5]            => 6
[5,1,7,3,8,4,6,2]            => 9
[2,5,7,3,8,6,4,1]            => 6
[7,6,1,3,5,8,4,2]            => 12
[3,6,7,4,1,8,5,2]            => 4
[5,6,3,7,4,8,1,2]            => 18
[2,1,6,7,4,8,5,3]            => 4
[2,1,8,7,4,3,6,5]            => 0
[5,8,3,7,4,2,6,1]            => 18
[3,8,7,4,1,2,6,5]            => 0
[7,8,1,3,5,2,6,4]            => 4
[5,8,7,3,2,6,1,4]            => 7
[2,8,6,3,1,5,7,4]            => 3
[8,1,6,3,2,5,4,7]            => 0
[2,8,4,1,6,3,7,5]            => 2
[4,8,1,2,7,6,3,5]            => 0
[3,8,4,2,5,7,1,6]            => 9
[6,8,3,5,2,7,4,1]            => 20
[2,1,5,3,8,7,6,4]            => 0
[6,5,3,2,8,7,1,4]            => 14
[7,5,2,4,8,1,6,3]            => 13
[3,4,2,8,5,7,6,1]            => 10
[2,4,1,8,7,6,5,3]            => 0
[8,4,2,1,7,5,3,6]            => 2
[4,3,1,8,6,7,5,2]            => 6
[3,1,4,8,6,5,7,2]            => 3
[7,1,6,5,4,8,2,3]            => 12
[3,7,5,6,8,4,2,1]            => 9
[5,7,1,6,8,2,4,3]            => 3
[8,6,2,5,1,7,4,3]            => 8
[5,6,2,1,8,7,3,4]            => 0
[4,6,2,5,8,3,7,1]            => 15
[7,5,2,6,3,8,1,4]            => 16
[4,1,2,3,6,8,7,5]            => 0
[2,4,3,1,8,5,6,7]            => 0
[7,5,2,8,3,4,6,1]            => 21
[5,6,2,8,4,3,1,7]            => 6
[4,7,2,8,1,5,3,6]            => 2
[8,7,2,1,4,5,6,3]            => 6
[3,6,8,7,1,5,4,2]            => 0
[5,7,8,6,3,4,1,2]            => 8
[7,1,8,5,4,3,6,2]            => 9
[2,7,8,4,5,3,6,1]            => 12
[5,7,3,8,1,4,6,2]            => 11
[2,1,7,8,5,4,6,3]            => 5
[2,1,5,8,4,6,3,7]            => 2
[6,5,3,8,4,1,2,7]            => 11
[7,5,8,4,3,6,2,1]            => 20
[2,4,8,3,5,6,1,7]            => 5
[4,1,8,3,6,5,2,7]            => 4
[3,4,8,1,7,2,5,6]            => 0
[8,4,1,3,7,2,6,5]            => 3
[3,1,8,2,4,7,6,5]            => 0
[2,3,8,1,4,6,7,5]            => 1
[4,3,8,2,5,1,7,6]            => 6
[6,3,8,4,2,5,7,1]            => 20
[7,4,3,8,2,5,1,6]            => 13
[2,1,4,8,3,5,7,6]            => 0
[6,8,2,4,3,5,1,7]            => 11
[4,8,2,3,5,1,6,7]            => 6
[3,8,2,1,4,6,5,7]            => 0
[2,8,1,3,4,5,7,6]            => 0
[7,1,6,8,4,3,2,5]            => 4
[7,1,6,5,8,3,2,4]            => 9
[3,7,6,1,4,8,2,5]            => 4
[2,7,8,4,1,6,5,3]            => 4
[3,6,4,5,7,2,8,1]            => 13
[1,8,2,7,3,4,5,6]            => 0
[3,2,1,5,8,4,6,7]            => 0
[5,4,3,2,1,8,6,7]            => 0
[1,8,2,4,3,5,6,7]            => 0
[1,7,2,4,3,5,6,8]            => 0
[1,6,2,4,3,5,7,8]            => 0
[1,5,2,4,3,6,7,8]            => 0
[1,6,2,5,3,4,7,8]            => 0
[1,7,2,5,3,4,6,8]            => 0
[1,8,2,5,3,4,6,7]            => 0
[1,8,2,6,3,4,5,7]            => 0
[1,7,2,6,3,4,5,8]            => 0
[1,8,2,7,3,5,4,6]            => 0
[1,7,2,8,3,5,4,6]            => 0
[1,6,2,8,3,5,4,7]            => 0
[1,5,2,8,3,6,4,7]            => 0
[1,4,2,8,3,6,5,7]            => 0
[1,3,2,8,4,6,5,7]            => 0
[1,2,3,8,4,6,5,7]            => 0
[1,2,3,7,4,6,5,8]            => 0
[1,3,2,7,4,6,5,8]            => 0
[1,4,2,7,3,6,5,8]            => 0
[1,5,2,7,3,6,4,8]            => 0
[1,6,2,7,3,5,4,8]            => 0
[1,7,2,6,3,5,4,8]            => 0
[1,8,2,6,3,5,4,7]            => 0
[1,8,2,5,3,6,4,7]            => 1
[1,7,2,5,3,6,4,8]            => 1
[1,6,2,5,3,7,4,8]            => 1
[1,5,2,4,3,7,6,8]            => 0
[1,6,2,4,3,7,5,8]            => 0
[1,7,2,4,3,6,5,8]            => 0
[1,8,2,4,3,6,5,7]            => 0
[1,8,2,3,4,6,5,7]            => 0
[1,7,2,3,4,6,5,8]            => 0
[1,8,2,3,4,7,5,6]            => 0
[1,8,2,4,3,7,5,6]            => 0
[1,7,2,4,3,8,5,6]            => 0
[1,6,2,4,3,8,5,7]            => 0
[1,5,2,4,3,8,6,7]            => 0
[1,6,2,5,3,8,4,7]            => 1
[1,7,2,5,3,8,4,6]            => 1
[1,8,2,5,3,7,4,6]            => 1
[1,8,2,6,3,7,4,5]            => 2
[1,7,2,6,3,8,4,5]            => 2
[1,2,3,8,4,7,5,6]            => 0
[1,3,2,8,4,7,5,6]            => 0
[1,4,2,8,3,7,5,6]            => 0
[1,5,2,8,3,7,4,6]            => 0
[1,6,2,8,3,7,4,5]            => 0
[1,7,2,8,3,6,4,5]            => 0
[1,8,2,7,3,6,4,5]            => 0
[6,7,8,1,4,3,2,5]            => 0
[2,8,4,1,6,7,5,3]            => 5
[4,8,5,7,1,6,2,3]            => 5
[8,7,6,5,2,1,4,3]            => 0
[8,3,1,5,4,7,2,6]            => 6
[8,7,6,5,1,4,2,3]            => 0
[7,5,1,3,8,4,2,6]            => 6
[7,6,1,4,8,3,2,5]            => 7
[7,1,3,5,8,2,4,6]            => 4
[7,5,3,6,4,2,8,1]            => 23
[8,2,6,3,4,7,5,1]            => 17
[7,2,6,3,5,4,8,1]            => 17
[6,2,7,4,3,5,8,1]            => 17
[3,7,6,4,5,2,8,1]            => 14
[2,7,6,5,3,4,8,1]            => 12
[8,6,5,4,2,7,3,1]            => 20
[6,5,8,4,2,7,3,1]            => 20
[1,8,6,3,7,5,2,4]            => 7
[8,7,5,2,6,4,3,1]            => 15
[8,7,1,6,2,5,4,3]            => 0
[1,7,2,8,5,3,4,6]            => 0
[7,6,1,8,4,3,2,5]            => 4
[8,6,1,7,4,2,5,3]            => 7
[8,1,2,7,3,4,6,5]            => 0
[7,1,2,8,3,5,4,6]            => 0
[8,2,6,1,7,3,5,4]            => 4
[4,7,5,6,8,3,2,1]            => 9
[8,6,4,7,5,3,2,1]            => 16
[5,4,8,1,7,2,6,3]            => 6
[2,3,8,7,4,5,6,1]            => 6
[7,2,8,6,4,3,5,1]            => 12
[8,2,7,6,3,5,4,1]            => 11
[8,1,7,6,5,2,4,3]            => 0
[7,1,8,6,5,3,2,4]            => 0
[1,2,8,7,6,3,4,5]            => 0
[3,8,7,6,4,5,2,1]            => 6
[2,8,7,6,5,3,4,1]            => 4
[1,8,7,6,5,4,2,3]            => 0
[3,8,6,7,1,5,2,4]            => 4
[5,4,7,1,3,8,2,6]            => 7
[5,6,2,1,4,8,3,7]            => 2
[2,1,8,4,7,5,6,3]            => 5
[4,1,3,2,8,5,6,7]            => 0
[3,2,1,4,8,5,6,7]            => 0
[1,8,4,2,5,3,6,7]            => 1
[8,1,5,3,2,4,6,7]            => 0
[3,8,1,5,2,4,6,7]            => 0
[1,6,7,2,8,4,3,5]            => 0
[6,7,1,4,2,8,3,5]            => 2
[6,3,7,1,4,8,2,5]            => 6
[3,7,8,1,5,2,4,6]            => 0
[7,1,2,8,5,3,4,6]            => 0
[1,7,2,8,4,5,3,6]            => 2
[1,2,7,5,8,3,4,6]            => 2
[2,8,1,7,4,3,6,5]            => 0
[4,2,6,5,8,3,7,1]            => 12
[5,2,4,7,3,6,8,1]            => 16
[5,1,2,4,8,3,6,7]            => 1
[4,3,6,1,5,8,2,7]            => 5
[2,6,1,4,5,8,3,7]            => 3
[2,5,3,4,1,8,6,7]            => 1
[4,3,5,2,1,8,6,7]            => 2
[3,1,6,7,5,8,2,4]            => 4
[2,8,1,7,5,6,3,4]            => 4
[5,3,6,8,4,7,2,1]            => 14
[3,7,2,5,4,8,6,1]            => 14
[8,4,2,5,7,3,6,1]            => 20
[4,7,2,5,8,3,6,1]            => 15
[5,2,6,8,4,3,7,1]            => 12
[3,1,6,5,4,8,2,7]            => 3
[4,1,6,5,8,3,2,7]            => 2
[5,1,6,8,4,3,2,7]            => 0
[8,5,4,7,6,3,2,1]            => 18
[5,7,1,8,4,3,2,6]            => 0
[2,7,1,5,4,3,8,6]            => 0
[8,2,1,5,4,3,7,6]            => 0
[8,4,1,5,7,3,2,6]            => 6
[8,5,6,7,1,3,2,4]            => 12
[8,4,6,1,7,3,2,5]            => 8
[8,3,6,1,4,7,2,5]            => 8
[2,7,6,1,4,3,8,5]            => 1
[6,7,8,5,1,3,2,4]            => 0
[5,7,6,8,2,3,4,1]            => 16
[5,7,2,8,4,3,6,1]            => 15
[6,7,8,2,4,3,5,1]            => 16
[4,7,6,2,8,3,5,1]            => 16
[8,3,6,2,4,7,5,1]            => 20
[3,7,6,2,4,8,5,1]            => 15
[5,7,3,8,4,6,2,1]            => 18
[4,7,3,5,8,6,2,1]            => 16
[8,7,2,1,4,3,6,5]            => 0
[8,7,3,1,4,6,2,5]            => 6
[8,7,6,3,2,5,4,1]            => 14
[8,7,3,5,1,6,2,4]            => 10
[8,7,2,5,1,3,6,4]            => 4
[8,2,6,5,1,3,7,4]            => 5
[8,4,6,5,7,1,2,3]            => 18
[5,7,6,8,4,1,2,3]            => 4
[4,7,6,5,8,1,2,3]            => 9
[3,7,6,5,1,8,2,4]            => 6
[2,6,5,7,3,4,8,1]            => 13
[1,6,4,7,5,8,2,3]            => 10
[8,5,3,6,2,7,4,1]            => 23
[1,3,7,4,6,8,2,5]            => 4
[4,7,5,6,3,2,8,1]            => 14
[1,7,6,5,4,8,2,3]            => 12
[8,1,6,5,7,2,4,3]            => 9
[1,2,7,6,8,3,4,5]            => 3
[6,1,7,5,3,8,2,4]            => 7
[2,1,7,5,6,8,3,4]            => 6
[5,4,1,7,6,8,2,3]            => 8
[4,8,5,6,2,7,3,1]            => 15
[3,8,6,4,2,7,5,1]            => 14
[7,8,5,2,4,6,3,1]            => 19
[2,8,6,3,7,4,5,1]            => 12
[7,8,1,6,2,4,5,3]            => 3
[6,8,1,4,7,2,5,3]            => 6
[3,8,4,1,7,2,6,5]            => 1
[5,4,7,1,8,3,2,6]            => 5
[3,7,4,1,8,5,2,6]            => 2
[6,7,1,4,8,3,2,5]            => 4
[2,7,1,8,4,5,3,6]            => 2
[6,1,2,8,4,3,5,7]            => 0
[6,5,1,4,3,8,2,7]            => 6
[1,6,2,5,8,3,4,7]            => 2
[8,5,1,3,7,2,6,4]            => 5
[8,4,2,1,7,3,6,5]            => 1
[7,4,2,1,8,5,3,6]            => 2
[1,5,4,2,8,3,6,7]            => 1
[6,4,3,1,5,8,2,7]            => 7
[3,7,6,8,4,5,2,1]            => 10
[2,7,6,8,5,3,4,1]            => 8
[1,7,6,8,5,4,2,3]            => 4
[1,4,8,6,7,5,2,3]            => 3
[2,4,8,6,7,3,5,1]            => 7
[7,3,8,5,4,6,2,1]            => 18
[3,4,8,5,6,7,2,1]            => 6
[6,3,5,8,4,7,2,1]            => 19
[5,4,3,8,6,7,2,1]            => 20
[5,4,2,8,7,3,6,1]            => 17
[6,2,5,8,7,3,4,1]            => 15
[3,2,8,5,7,4,6,1]            => 11
[1,3,8,7,5,6,2,4]            => 4
[2,1,8,7,4,6,3,5]            => 2
[3,1,8,5,7,6,2,4]            => 4
[6,1,5,8,7,4,2,3]            => 6
[5,4,1,8,7,6,2,3]            => 6
[5,8,6,7,4,3,2,1]            => 4
[4,8,7,5,6,3,2,1]            => 6
[2,8,3,1,5,4,6,7]            => 0
[2,5,3,4,7,1,8,6]            => 3
[2,4,8,3,5,7,6,1]            => 8
[4,2,5,3,1,8,6,7]            => 2
[4,2,1,8,5,3,6,7]            => 0
[5,4,1,3,8,2,6,7]            => 3
[5,1,4,8,3,2,6,7]            => 2
[1,5,8,4,3,2,6,7]            => 0
[1,8,5,4,3,2,6,7]            => 0
[1,7,4,3,8,5,2,6]            => 6
[1,5,7,3,8,4,2,6]            => 4
[5,1,4,7,8,3,2,6]            => 4
[4,8,1,5,7,3,6,2]            => 7
[8,1,5,3,7,4,6,2]            => 12
[3,8,4,7,6,5,2,1]            => 6
[1,6,8,5,3,7,4,2]            => 10
[6,8,1,7,4,3,5,2]            => 7
[6,4,8,1,7,3,5,2]            => 10
[6,4,8,7,1,5,2,3]            => 8
[7,6,4,1,3,8,2,5]            => 7
[1,7,5,6,3,2,8,4]            => 5
[4,2,1,7,8,5,3,6]            => 0
[2,7,4,6,3,1,8,5]            => 3
[2,6,8,4,3,7,5,1]            => 10
[6,2,4,8,3,7,5,1]            => 15
[7,2,6,3,4,1,8,5]            => 6
[2,6,7,3,1,4,8,5]            => 0
[2,7,1,8,3,5,4,6]            => 0
[2,1,7,3,5,8,4,6]            => 1
[8,7,1,3,6,2,4,5]            => 2
[8,2,1,7,3,5,6,4]            => 2
[7,8,2,6,3,1,5,4]            => 4
[8,7,2,6,3,5,4,1]            => 14
[1,2,8,7,4,5,6,3]            => 6
[8,3,7,1,5,6,2,4]            => 8
[8,6,1,2,7,5,3,4]            => 3
[8,1,6,2,7,4,5,3]            => 6
[1,8,5,2,6,7,4,3]            => 6
[5,2,1,8,6,7,4,3]            => 2
[2,8,5,7,6,4,3,1]            => 6
[1,7,8,5,2,6,4,3]            => 4
[7,8,1,6,4,2,5,3]            => 3
[7,8,6,1,5,3,2,4]            => 0
[7,3,8,6,1,5,2,4]            => 5
[8,7,6,1,5,3,4,2]            => 4
[8,7,1,6,4,5,3,2]            => 6
[8,1,7,5,6,4,3,2]            => 6
[1,8,6,7,5,4,3,2]            => 4
[9,1,2,3,4,5,6,7,8]          => 0
[8,1,2,3,4,5,6,9,7]          => 0
[2,9,1,3,4,5,6,7,8]          => 0
[9,3,1,2,4,5,6,7,8]          => 0
[8,9,1,2,3,4,5,6,7]          => 0
[9,7,8,1,2,3,4,5,6]          => 6
[2,3,4,5,6,7,9,1,8]          => 0
[2,3,4,5,6,7,8,9,1]          => 0
[2,3,4,5,6,7,8,1,9]          => 0
[2,3,4,5,6,7,1,8,9]          => 0
[1,2,3,4,5,6,7,9,8]          => 0
[2,1,3,4,5,6,7,8,9]          => 0
[1,8,2,3,4,5,6,9,7]          => 0
[7,1,2,3,4,5,6,9,8]          => 0
[2,1,9,3,4,5,6,7,8]          => 0
[2,8,1,3,4,5,6,7,9]          => 0
[1,2,3,4,5,6,7,8,9]          => 0
[3,2,4,5,6,7,8,9,1]          => 6
[9,8,7,6,5,4,3,2,1]          => 0
[8,7,6,5,4,3,2,1,9]          => 0
[1,9,8,7,6,5,4,3,2]          => 0
[8,7,6,4,5,3,2,1,9]          => 9
[1,9,8,7,5,6,4,3,2]          => 9
[8,7,5,4,6,3,2,1,9]          => 15
[8,7,4,6,5,3,2,1,9]          => 12
[1,9,8,6,5,7,4,3,2]          => 15
[1,9,8,5,7,6,4,3,2]          => 12
[9,2,1,3,4,5,6,7,8]          => 0
[9,2,3,1,4,5,6,7,8]          => 1
[4,2,3,5,6,7,8,9,1]          => 11
[3,4,2,5,6,7,8,9,1]          => 10
[9,8,1,2,3,4,5,6,7]          => 0
[7,8,9,1,2,3,4,5,6]          => 0
[9,8,7,1,2,3,4,5,6]          => 0
[6,7,8,9,1,2,3,4,5]          => 0
[9,6,7,8,1,2,3,4,5]          => 15
[8,9,6,7,1,2,3,4,5]          => 10
[9,8,6,7,1,2,3,4,5]          => 10
[9,8,7,6,1,2,3,4,5]          => 0
[9,5,6,7,8,1,2,3,4]          => 24
[8,9,5,6,7,1,2,3,4]          => 24
[9,8,5,6,7,1,2,3,4]          => 24
[9,7,8,5,6,1,2,3,4]          => 18
[9,8,7,5,6,1,2,3,4]          => 12
[9,8,7,6,5,1,2,3,4]          => 0
[7,8,9,4,5,6,1,2,3]          => 27
[9,7,8,4,5,6,1,2,3]          => 33
[9,8,7,4,5,6,1,2,3]          => 27
[8,9,6,7,4,5,1,2,3]          => 22
[9,8,6,7,4,5,1,2,3]          => 22
[9,8,7,6,4,5,1,2,3]          => 12
[9,8,7,6,5,4,1,2,3]          => 0
[9,7,8,5,6,3,4,1,2]          => 28
[9,8,7,5,6,3,4,1,2]          => 22
[9,8,7,6,5,3,4,1,2]          => 10
[9,8,7,6,5,4,3,1,2]          => 0
[7,8,6,5,4,3,2,1,9]          => 0
[1,8,9,7,6,5,4,3,2]          => 0
[7,6,8,5,4,3,2,1,9]          => 5
[6,8,7,5,4,3,2,1,9]          => 0
[1,8,7,9,6,5,4,3,2]          => 5
[1,7,9,8,6,5,4,3,2]          => 0
[8,1,2,3,4,5,6,7,9]          => 0
[1,9,2,3,4,5,6,7,8]          => 0
[7,8,1,2,3,4,5,6,9]          => 0
[1,8,9,2,3,4,5,6,7]          => 0
[7,1,8,2,3,4,5,6,9]          => 0
[6,8,1,2,3,4,5,7,9]          => 0
[1,8,2,9,3,4,5,6,7]          => 0
[1,7,9,2,3,4,5,6,8]          => 0
[7,1,2,3,4,5,6,8,9]          => 0
[3,4,1,2,5,6,7,8,9]          => 0
[3,2,1,4,5,6,7,8,9]          => 0
[4,5,6,1,2,3,7,8,9]          => 0
[4,2,5,1,3,6,7,8,9]          => 1
[4,3,2,1,5,6,7,8,9]          => 0
[5,6,7,8,1,2,3,4,9]          => 0
[5,2,6,7,1,3,4,8,9]          => 2
[5,6,3,4,1,2,7,8,9]          => 4
[5,3,2,6,1,4,7,8,9]          => 3
[5,4,3,2,1,6,7,8,9]          => 0
[6,2,7,8,9,1,3,4,5]          => 3
[6,7,3,4,8,1,2,5,9]          => 12
[6,3,2,7,8,1,4,5,9]          => 6
[6,4,7,2,5,1,3,8,9]          => 8
[6,4,3,2,7,1,5,8,9]          => 6
[6,5,4,3,2,1,7,8,9]          => 0
[7,4,8,2,5,9,1,3,6]          => 17
[7,4,3,2,8,9,1,5,6]          => 12
[7,8,5,6,3,4,1,2,9]          => 16
[7,5,3,8,2,6,1,4,9]          => 15
[7,5,4,3,2,8,1,6,9]          => 10
[7,6,5,4,3,2,1,8,9]          => 0
[8,6,9,4,7,2,5,1,3]          => 29
[8,6,4,3,9,2,7,1,5]          => 25
[8,6,5,4,3,2,9,1,7]          => 15
[2,1,4,3,6,5,8,7,10,9]       => 0
[4,3,2,1,6,5,8,7,10,9]       => 0
[6,3,2,5,4,1,8,7,10,9]       => 6
[8,3,2,5,4,7,6,1,10,9]       => 18
[10,3,2,5,4,7,6,9,8,1]       => 36
[2,1,6,5,4,3,8,7,10,9]       => 0
[6,5,4,3,2,1,8,7,10,9]       => 0
[8,5,4,3,2,7,6,1,10,9]       => 20
[10,5,4,3,2,7,6,9,8,1]       => 46
[2,1,8,5,4,7,6,3,10,9]       => 6
[8,7,4,3,6,5,2,1,10,9]       => 20
[10,7,4,3,6,5,2,9,8,1]       => 54
[2,1,10,5,4,7,6,9,8,3]       => 18
[10,9,4,3,6,5,8,7,2,1]       => 60
[8,9,5,6,3,4,10,1,2,7]       => 40
[2,1,4,3,8,7,6,5,10,9]       => 0
[4,3,2,1,8,7,6,5,10,9]       => 0
[8,3,2,7,6,5,4,1,10,9]       => 12
[10,3,2,7,6,5,4,9,8,1]       => 38
[2,1,8,7,6,5,4,3,10,9]       => 0
[8,7,6,5,4,3,2,1,10,9]       => 0
[9,7,6,5,4,3,2,10,1,8]       => 21
[10,7,6,5,4,3,2,9,8,1]       => 42
[2,1,10,7,6,5,4,9,8,3]       => 20
[10,9,6,5,4,3,8,7,2,1]       => 56
[2,1,4,3,10,7,6,9,8,5]       => 6
[4,3,2,1,10,7,6,9,8,5]       => 6
[10,3,2,9,6,5,8,7,4,1]       => 38
[2,1,10,9,6,5,8,7,4,3]       => 20
[10,9,8,5,4,7,6,3,2,1]       => 42
[6,7,8,9,10,1,2,3,4,5]       => 0
[7,3,2,8,9,10,1,4,5,6]       => 9
[8,5,4,3,2,9,10,1,6,7]       => 20
[2,1,4,3,6,5,10,9,8,7]       => 0
[4,3,2,1,6,5,10,9,8,7]       => 0
[6,3,2,5,4,1,10,9,8,7]       => 6
[10,3,2,5,4,9,8,7,6,1]       => 30
[2,1,6,5,4,3,10,9,8,7]       => 0
[6,5,4,3,2,1,10,9,8,7]       => 0
[10,5,4,3,2,9,8,7,6,1]       => 40
[2,1,10,5,4,9,8,7,6,3]       => 12
[10,9,4,3,8,7,6,5,2,1]       => 40
[9,7,5,10,3,8,2,6,1,4]       => 45
[2,1,4,3,10,9,8,7,6,5]       => 0
[4,3,2,1,10,9,8,7,6,5]       => 0
[10,3,2,9,8,7,6,5,4,1]       => 18
[2,1,10,9,8,7,6,5,4,3]       => 0
[10,9,8,7,6,5,4,3,2,1]       => 0
[2,3,4,5,6,7,8,9,10,1]       => 0
[2,3,4,5,6,7,8,9,1,10]       => 0
[10,8,9,5,6,7,1,2,3,4]       => 43
[10,8,9,4,5,6,1,2,3,7]       => 34
[10,7,8,5,6,9,1,2,3,4]       => 50
[10,7,8,4,5,9,1,2,3,6]       => 41
[10,6,7,4,5,8,1,2,3,9]       => 38
[10,7,8,3,4,9,1,2,5,6]       => 32
[10,6,7,3,4,8,1,2,5,9]       => 29
[9,8,10,5,6,7,1,2,3,4]       => 43
[9,8,10,4,5,6,1,2,3,7]       => 34
[9,7,10,5,6,8,1,2,3,4]       => 46
[9,7,10,4,5,8,1,2,3,6]       => 37
[9,6,10,4,5,7,1,2,3,8]       => 35
[9,7,10,3,4,8,1,2,5,6]       => 28
[9,6,10,3,4,7,1,2,5,8]       => 26
[8,7,9,5,6,10,1,2,3,4]       => 46
[8,7,9,4,5,10,1,2,3,6]       => 37
[8,6,9,4,5,10,1,2,3,7]       => 35
[7,6,8,4,5,9,1,2,3,10]       => 35
[8,7,9,3,4,10,1,2,5,6]       => 28
[8,6,9,3,4,10,1,2,5,7]       => 26
[7,6,8,3,4,9,1,2,5,10]       => 26
[9,6,10,5,7,8,1,2,3,4]       => 45
[9,6,10,4,7,8,1,2,3,5]       => 39
[9,5,10,4,6,7,1,2,3,8]       => 34
[9,6,10,3,7,8,1,2,4,5]       => 33
[9,5,10,3,6,7,1,2,4,8]       => 28
[8,6,9,5,7,10,1,2,3,4]       => 45
[8,6,9,4,7,10,1,2,3,5]       => 39
[8,5,9,4,6,10,1,2,3,7]       => 34
[7,5,8,4,6,9,1,2,3,10]       => 34
[8,6,9,3,7,10,1,2,4,5]       => 33
[8,5,9,3,6,10,1,2,4,7]       => 28
[7,5,8,3,6,9,1,2,4,10]       => 28
[8,4,9,3,5,10,1,2,6,7]       => 23
[7,4,8,3,5,9,1,2,6,10]       => 23
[9,6,10,2,7,8,1,3,4,5]       => 27
[9,5,10,2,6,7,1,3,4,8]       => 22
[8,6,9,2,7,10,1,3,4,5]       => 27
[8,5,9,2,6,10,1,3,4,7]       => 22
[7,5,8,2,6,9,1,3,4,10]       => 22
[8,4,9,2,5,10,1,3,6,7]       => 17
[7,4,8,2,5,9,1,3,6,10]       => 17
[1,2,3,4,5,6,7,8,10,9]       => 0
[2,1,3,4,5,6,7,8,9,10]       => 0
[9,1,2,3,4,5,6,7,10,8]       => 0
[2,10,1,3,4,5,6,7,8,9]       => 0
[1,2,3,4,5,6,7,8,9,10]       => 0
[9,8,7,6,5,4,3,2,1,10]       => 0
[10,1,2,3,4,5,6,7,8,9]       => 0
[10,9,1,2,3,4,5,6,7,8]       => 0
[1,10,9,8,7,6,5,4,3,2]       => 0
[9,8,7,5,6,4,3,2,1,10]       => 12
[1,10,9,8,6,7,5,4,3,2]       => 12
[10,2,1,3,4,5,6,7,8,9]       => 0
[3,2,4,5,6,7,8,9,10,1]       => 7
[2,4,6,8,10,1,3,5,7,9]       => 0
[2,4,6,9,10,1,3,5,7,8]       => 0
[2,4,7,8,10,1,3,5,6,9]       => 0
[2,4,7,9,10,1,3,5,6,8]       => 0
[2,4,8,9,10,1,3,5,6,7]       => 0
[2,5,6,8,10,1,3,4,7,9]       => 0
[2,5,6,9,10,1,3,4,7,8]       => 0
[2,5,7,8,10,1,3,4,6,9]       => 0
[2,5,7,9,10,1,3,4,6,8]       => 0
[2,5,8,9,10,1,3,4,6,7]       => 0
[2,6,7,8,10,1,3,4,5,9]       => 0
[2,6,7,9,10,1,3,4,5,8]       => 0
[2,6,8,9,10,1,3,4,5,7]       => 0
[2,7,8,9,10,1,3,4,5,6]       => 0
[3,4,6,8,10,1,2,5,7,9]       => 0
[3,4,6,9,10,1,2,5,7,8]       => 0
[3,4,7,8,10,1,2,5,6,9]       => 0
[3,4,7,9,10,1,2,5,6,8]       => 0
[3,4,8,9,10,1,2,5,6,7]       => 0
[3,5,6,8,10,1,2,4,7,9]       => 0
[3,5,6,9,10,1,2,4,7,8]       => 0
[3,5,7,8,10,1,2,4,6,9]       => 0
[3,5,7,9,10,1,2,4,6,8]       => 0
[3,5,8,9,10,1,2,4,6,7]       => 0
[3,6,7,8,10,1,2,4,5,9]       => 0
[3,6,7,9,10,1,2,4,5,8]       => 0
[3,6,8,9,10,1,2,4,5,7]       => 0
[3,7,8,9,10,1,2,4,5,6]       => 0
[4,5,6,8,10,1,2,3,7,9]       => 0
[4,5,6,9,10,1,2,3,7,8]       => 0
[4,5,7,8,10,1,2,3,6,9]       => 0
[4,5,7,9,10,1,2,3,6,8]       => 0
[4,5,8,9,10,1,2,3,6,7]       => 0
[4,6,7,8,10,1,2,3,5,9]       => 0
[4,6,7,9,10,1,2,3,5,8]       => 0
[4,6,8,9,10,1,2,3,5,7]       => 0
[4,7,8,9,10,1,2,3,5,6]       => 0
[5,6,7,8,10,1,2,3,4,9]       => 0
[5,6,7,9,10,1,2,3,4,8]       => 0
[5,6,8,9,10,1,2,3,4,7]       => 0
[5,7,8,9,10,1,2,3,4,6]       => 0
[9,10,1,2,3,4,5,6,7,8]       => 0
[8,9,10,1,2,3,4,5,6,7]       => 0
[10,8,9,1,2,3,4,5,6,7]       => 7
[10,9,8,1,2,3,4,5,6,7]       => 0
[7,8,9,10,1,2,3,4,5,6]       => 0
[10,7,8,9,1,2,3,4,5,6]       => 18
[9,10,7,8,1,2,3,4,5,6]       => 12
[10,9,7,8,1,2,3,4,5,6]       => 12
[10,9,8,7,1,2,3,4,5,6]       => 0
[10,6,7,8,9,1,2,3,4,5]       => 30
[9,10,6,7,8,1,2,3,4,5]       => 30
[10,9,6,7,8,1,2,3,4,5]       => 30
[10,8,9,6,7,1,2,3,4,5]       => 22
[10,9,8,6,7,1,2,3,4,5]       => 15
[10,9,8,7,6,1,2,3,4,5]       => 0
[9,10,5,6,7,8,1,2,3,4]       => 48
[10,9,5,6,7,8,1,2,3,4]       => 48
[8,9,10,5,6,7,1,2,3,4]       => 36
[10,9,8,5,6,7,1,2,3,4]       => 36
[9,10,7,8,5,6,1,2,3,4]       => 28
[10,9,7,8,5,6,1,2,3,4]       => 28
[10,9,8,7,5,6,1,2,3,4]       => 16
[10,9,8,7,6,5,1,2,3,4]       => 0
[10,7,8,9,4,5,6,1,2,3]       => 54
[9,10,7,8,4,5,6,1,2,3]       => 48
[10,9,7,8,4,5,6,1,2,3]       => 48
[10,9,8,7,4,5,6,1,2,3]       => 36
[10,8,9,6,7,4,5,1,2,3]       => 37
[10,9,8,6,7,4,5,1,2,3]       => 30
[10,9,8,7,6,4,5,1,2,3]       => 15
[10,9,8,7,6,5,4,1,2,3]       => 0
[9,10,7,8,5,6,3,4,1,2]       => 40
[10,9,7,8,5,6,3,4,1,2]       => 40
[10,9,8,7,5,6,3,4,1,2]       => 28
[10,9,8,7,6,5,3,4,1,2]       => 12
[10,9,8,7,6,5,4,3,1,2]       => 0
[8,9,7,6,5,4,3,2,1,10]       => 0
[1,9,10,8,7,6,5,4,3,2]       => 0
[9,1,2,3,4,5,6,7,8,10]       => 0
[1,10,2,3,4,5,6,7,8,9]       => 0
[8,9,1,2,3,4,5,6,7,10]       => 0
[1,9,10,2,3,4,5,6,7,8]       => 0
[3,4,1,2,5,6,7,8,9,10]       => 0
[3,2,1,4,5,6,7,8,9,10]       => 0
[4,5,6,1,2,3,7,8,9,10]       => 0
[4,2,5,1,3,6,7,8,9,10]       => 1
[4,3,2,1,5,6,7,8,9,10]       => 0
[5,6,7,8,1,2,3,4,9,10]       => 0
[5,2,6,7,1,3,4,8,9,10]       => 2
[5,6,3,4,1,2,7,8,9,10]       => 4
[5,3,2,6,1,4,7,8,9,10]       => 3
[5,4,3,2,1,6,7,8,9,10]       => 0
[6,2,7,8,9,1,3,4,5,10]       => 3
[6,7,3,4,8,1,2,5,9,10]       => 12
[6,3,2,7,8,1,4,5,9,10]       => 6
[6,4,7,2,5,1,3,8,9,10]       => 8
[6,4,3,2,7,1,5,8,9,10]       => 6
[6,5,4,3,2,1,7,8,9,10]       => 0
[7,8,3,4,9,10,1,2,5,6]       => 20
[7,8,9,4,5,6,1,2,3,10]       => 27
[7,4,3,2,8,9,1,5,6,10]       => 12
[7,8,5,6,3,4,1,2,9,10]       => 16
[7,5,3,8,2,6,1,4,9,10]       => 15
[7,5,4,3,2,8,1,6,9,10]       => 10
[7,6,5,4,3,2,1,8,9,10]       => 0
[8,5,9,10,2,6,7,1,3,4]       => 31
[8,5,3,9,2,6,10,1,4,7]       => 27
[8,6,9,4,7,2,5,1,3,10]       => 29
[8,6,4,3,9,2,7,1,5,10]       => 25
[8,6,5,4,3,2,9,1,7,10]       => 15
[8,7,6,5,4,3,2,1,9,10]       => 0
[9,7,5,4,3,10,2,8,1,6]       => 38
[1,2,3,4,5,6,7,8,9,11,10]    => 0
[2,1,3,4,5,6,7,8,9,10,11]    => 0
[11,1,2,3,4,5,6,7,8,9,10]    => 0
[10,9,8,7,6,5,4,3,2,1,11]    => 0
[1,11,10,9,8,7,6,5,4,3,2]    => 0
[2,3,4,5,6,7,8,9,10,11,1]    => 0
[10,1,2,3,4,5,6,7,8,9,11]    => 0
[1,11,2,3,4,5,6,7,8,9,10]    => 0
[2,1,4,3,6,5,8,7,12,11,10,9] => 0
[2,1,4,3,6,5,12,9,8,11,10,7] => 6
[2,1,4,3,6,5,12,11,10,9,8,7] => 0
[2,1,4,3,8,7,6,5,12,11,10,9] => 0
[2,1,4,3,12,7,6,9,8,11,10,5] => 18
[2,1,4,3,12,7,6,11,10,9,8,5] => 12
[2,1,4,3,10,9,8,7,6,5,12,11] => 0
[2,1,4,3,12,9,8,7,6,11,10,5] => 20
[2,1,4,3,12,11,8,7,10,9,6,5] => 20
[2,1,4,3,12,11,10,9,8,7,6,5] => 0
[2,1,6,5,4,3,8,7,12,11,10,9] => 0
[2,1,6,5,4,3,10,9,8,7,12,11] => 0
[2,1,6,5,4,3,12,9,8,11,10,7] => 6
[2,1,6,5,4,3,12,11,10,9,8,7] => 0
[2,1,8,5,4,7,6,3,12,11,10,9] => 6
[2,1,12,5,4,7,6,9,8,11,10,3] => 36
[2,1,12,5,4,7,6,11,10,9,8,3] => 30
[2,1,10,5,4,9,8,7,6,3,12,11] => 12
[2,1,12,5,4,9,8,7,6,11,10,3] => 38
[2,1,12,5,4,11,8,7,10,9,6,3] => 38
[2,1,12,5,4,11,10,9,8,7,6,3] => 18
[2,1,8,7,6,5,4,3,10,9,12,11] => 0
[2,1,8,7,6,5,4,3,12,11,10,9] => 0
[2,1,12,7,6,5,4,9,8,11,10,3] => 46
[2,1,12,7,6,5,4,11,10,9,8,3] => 40
[2,1,10,9,6,5,8,7,4,3,12,11] => 20
[2,1,12,9,6,5,8,7,4,11,10,3] => 54
[2,1,12,11,6,5,8,7,10,9,4,3] => 60
[2,1,12,11,6,5,10,9,8,7,4,3] => 40
[2,1,10,9,8,7,6,5,4,3,12,11] => 0
[2,1,12,9,8,7,6,5,4,11,10,3] => 42
[2,1,12,11,8,7,6,5,10,9,4,3] => 56
[2,1,12,11,10,7,6,9,8,5,4,3] => 42
[2,1,12,11,10,9,8,7,6,5,4,3] => 0
[4,3,2,1,6,5,8,7,10,9,12,11] => 0
[4,3,2,1,6,5,8,7,12,11,10,9] => 0
[4,3,2,1,6,5,10,9,8,7,12,11] => 0
[4,3,2,1,6,5,12,9,8,11,10,7] => 6
[4,3,2,1,6,5,12,11,10,9,8,7] => 0
[4,3,2,1,8,7,6,5,10,9,12,11] => 0
[4,3,2,1,8,7,6,5,12,11,10,9] => 0
[4,3,2,1,10,7,6,9,8,5,12,11] => 6
[4,3,2,1,12,7,6,9,8,11,10,5] => 18
[4,3,2,1,12,7,6,11,10,9,8,5] => 12
[4,3,2,1,10,9,8,7,6,5,12,11] => 0
[4,3,2,1,12,9,8,7,6,11,10,5] => 20
[4,3,2,1,12,11,8,7,10,9,6,5] => 20
[4,3,2,1,12,11,10,9,8,7,6,5] => 0
[6,3,2,5,4,1,8,7,10,9,12,11] => 6
[6,3,2,5,4,1,8,7,12,11,10,9] => 6
[6,3,2,5,4,1,10,9,8,7,12,11] => 6
[6,3,2,5,4,1,12,9,8,11,10,7] => 12
[6,3,2,5,4,1,12,11,10,9,8,7] => 6
[8,3,2,5,4,7,6,1,10,9,12,11] => 18
[8,3,2,5,4,7,6,1,12,11,10,9] => 18
[10,3,2,5,4,7,6,9,8,1,12,11] => 36
[12,3,2,5,4,7,6,9,8,11,10,1] => 60
[12,3,2,5,4,7,6,11,10,9,8,1] => 54
[10,3,2,5,4,9,8,7,6,1,12,11] => 30
[12,3,2,5,4,9,8,7,6,11,10,1] => 62
[12,3,2,5,4,11,8,7,10,9,6,1] => 62
[12,3,2,5,4,11,10,9,8,7,6,1] => 42
[8,3,2,7,6,5,4,1,10,9,12,11] => 12
[8,3,2,7,6,5,4,1,12,11,10,9] => 12
[10,3,2,7,6,5,4,9,8,1,12,11] => 38
[12,3,2,7,6,5,4,9,8,11,10,1] => 70
[12,3,2,7,6,5,4,11,10,9,8,1] => 64
[10,3,2,9,6,5,8,7,4,1,12,11] => 38
[12,3,2,9,6,5,8,7,4,11,10,1] => 78
[12,3,2,11,6,5,8,7,10,9,4,1] => 84
[12,3,2,11,6,5,10,9,8,7,4,1] => 64
[10,3,2,9,8,7,6,5,4,1,12,11] => 18
[12,3,2,9,8,7,6,5,4,11,10,1] => 66
[12,3,2,11,8,7,6,5,10,9,4,1] => 80
[6,5,4,3,2,1,8,7,10,9,12,11] => 0
[6,5,4,3,2,1,8,7,12,11,10,9] => 0
[6,5,4,3,2,1,10,9,8,7,12,11] => 0
[6,5,4,3,2,1,12,9,8,11,10,7] => 6
[6,5,4,3,2,1,12,11,10,9,8,7] => 0
[8,5,4,3,2,7,6,1,12,11,10,9] => 20
[10,5,4,3,2,7,6,9,8,1,12,11] => 46
[12,5,4,3,2,7,6,9,8,11,10,1] => 78
[12,5,4,3,2,7,6,11,10,9,8,1] => 72
[10,5,4,3,2,9,8,7,6,1,12,11] => 40
[12,5,4,3,2,9,8,7,6,11,10,1] => 80
[12,5,4,3,2,11,8,7,10,9,6,1] => 80
[8,7,4,3,6,5,2,1,10,9,12,11] => 20
[8,7,4,3,6,5,2,1,12,11,10,9] => 20
[10,7,4,3,6,5,2,9,8,1,12,11] => 54
[12,7,4,3,6,5,2,9,8,11,10,1] => 94
[12,7,4,3,6,5,2,11,10,9,8,1] => 88
[10,9,4,3,6,5,8,7,2,1,12,11] => 60
[12,9,4,3,6,5,8,7,2,11,10,1] => 108
[12,11,4,3,6,5,8,7,10,9,2,1] => 120
[10,9,4,3,8,7,6,5,2,1,12,11] => 40
[12,9,4,3,8,7,6,5,2,11,10,1] => 96
[8,7,6,5,4,3,2,1,10,9,12,11] => 0
[8,7,6,5,4,3,2,1,12,11,10,9] => 0
[10,7,6,5,4,3,2,9,8,1,12,11] => 42
[12,7,6,5,4,3,2,9,8,11,10,1] => 90
[10,9,6,5,4,3,8,7,2,1,12,11] => 56
[12,9,6,5,4,3,8,7,2,11,10,1] => 112
[12,11,6,5,4,3,8,7,10,9,2,1] => 132
[10,9,8,5,4,7,6,3,2,1,12,11] => 42
[10,9,8,7,6,5,4,3,2,1,12,11] => 0
[2,4,6,8,10,12,1,3,5,7,9,11] => 0
[2,4,6,8,11,12,1,3,5,7,9,10] => 0
[2,4,6,9,10,12,1,3,5,7,8,11] => 0
[2,4,6,9,11,12,1,3,5,7,8,10] => 0
[2,4,6,10,11,12,1,3,5,7,8,9] => 0
[2,4,7,8,10,12,1,3,5,6,9,11] => 0
[2,4,7,8,11,12,1,3,5,6,9,10] => 0
[2,4,7,9,10,12,1,3,5,6,8,11] => 0
[2,4,7,9,11,12,1,3,5,6,8,10] => 0
[2,4,7,10,11,12,1,3,5,6,8,9] => 0
[2,4,8,9,10,12,1,3,5,6,7,11] => 0
[2,4,8,9,11,12,1,3,5,6,7,10] => 0
[2,4,8,10,11,12,1,3,5,6,7,9] => 0
[2,4,9,10,11,12,1,3,5,6,7,8] => 0
[2,5,6,8,10,12,1,3,4,7,9,11] => 0
[2,5,6,8,11,12,1,3,4,7,9,10] => 0
[2,5,6,9,10,12,1,3,4,7,8,11] => 0
[2,5,6,9,11,12,1,3,4,7,8,10] => 0
[2,5,6,10,11,12,1,3,4,7,8,9] => 0
[2,5,7,8,10,12,1,3,4,6,9,11] => 0
[2,5,7,8,11,12,1,3,4,6,9,10] => 0
[2,5,7,9,11,12,1,3,4,6,8,10] => 0
[2,5,7,10,11,12,1,3,4,6,8,9] => 0
[2,5,8,9,10,12,1,3,4,6,7,11] => 0
[2,5,8,9,11,12,1,3,4,6,7,10] => 0
[2,5,8,10,11,12,1,3,4,6,7,9] => 0
[2,5,9,10,11,12,1,3,4,6,7,8] => 0
[2,6,7,8,10,12,1,3,4,5,9,11] => 0
[2,6,7,8,11,12,1,3,4,5,9,10] => 0
[2,6,7,9,10,12,1,3,4,5,8,11] => 0
[2,6,7,9,11,12,1,3,4,5,8,10] => 0
[2,6,7,10,11,12,1,3,4,5,8,9] => 0
[2,6,8,9,10,12,1,3,4,5,7,11] => 0
[2,6,8,9,11,12,1,3,4,5,7,10] => 0
[2,6,8,10,11,12,1,3,4,5,7,9] => 0
[2,6,9,10,11,12,1,3,4,5,7,8] => 0
[2,7,8,9,10,12,1,3,4,5,6,11] => 0
[2,7,8,9,11,12,1,3,4,5,6,10] => 0
[2,7,8,10,11,12,1,3,4,5,6,9] => 0
[2,7,9,10,11,12,1,3,4,5,6,8] => 0
[2,8,9,10,11,12,1,3,4,5,6,7] => 0
[3,4,6,8,10,12,1,2,5,7,9,11] => 0
[3,4,6,8,11,12,1,2,5,7,9,10] => 0
[3,4,6,9,10,12,1,2,5,7,8,11] => 0
[3,4,6,9,11,12,1,2,5,7,8,10] => 0
[3,4,6,10,11,12,1,2,5,7,8,9] => 0
[3,4,7,8,10,12,1,2,5,6,9,11] => 0
[3,4,7,8,11,12,1,2,5,6,9,10] => 0
[3,4,7,9,10,12,1,2,5,6,8,11] => 0
[3,4,7,9,11,12,1,2,5,6,8,10] => 0
[3,4,7,10,11,12,1,2,5,6,8,9] => 0
[3,4,8,9,10,12,1,2,5,6,7,11] => 0
[3,4,8,9,11,12,1,2,5,6,7,10] => 0
[3,4,8,10,11,12,1,2,5,6,7,9] => 0
[3,4,9,10,11,12,1,2,5,6,7,8] => 0
[3,5,6,8,10,12,1,2,4,7,9,11] => 0
[3,5,6,8,11,12,1,2,4,7,9,10] => 0
[3,5,6,9,10,12,1,2,4,7,8,11] => 0
[3,5,6,9,11,12,1,2,4,7,8,10] => 0
[3,5,6,10,11,12,1,2,4,7,8,9] => 0
[3,5,7,8,10,12,1,2,4,6,9,11] => 0
[3,5,7,8,11,12,1,2,4,6,9,10] => 0
[3,5,7,9,10,12,1,2,4,6,8,11] => 0
[3,5,7,9,11,12,1,2,4,6,8,10] => 0
[3,5,7,10,11,12,1,2,4,6,8,9] => 0
[3,5,8,9,10,12,1,2,4,6,7,11] => 0
[3,5,8,9,11,12,1,2,4,6,7,10] => 0
[3,5,8,10,11,12,1,2,4,6,7,9] => 0
[3,5,9,10,11,12,1,2,4,6,7,8] => 0
[3,6,7,8,10,12,1,2,4,5,9,11] => 0
[3,6,7,8,11,12,1,2,4,5,9,10] => 0
[3,6,7,9,10,12,1,2,4,5,8,11] => 0
[3,6,7,9,11,12,1,2,4,5,8,10] => 0
[3,6,7,10,11,12,1,2,4,5,8,9] => 0
[3,6,8,9,10,12,1,2,4,5,7,11] => 0
[3,6,8,9,11,12,1,2,4,5,7,10] => 0
[3,6,8,10,11,12,1,2,4,5,7,9] => 0
[3,6,9,10,11,12,1,2,4,5,7,8] => 0
[3,7,8,9,10,12,1,2,4,5,6,11] => 0
[3,7,8,9,11,12,1,2,4,5,6,10] => 0
[3,7,8,10,11,12,1,2,4,5,6,9] => 0
[3,7,9,10,11,12,1,2,4,5,6,8] => 0
[3,8,9,10,11,12,1,2,4,5,6,7] => 0
[4,5,6,8,10,12,1,2,3,7,9,11] => 0
[4,5,6,8,11,12,1,2,3,7,9,10] => 0
[4,5,6,9,10,12,1,2,3,7,8,11] => 0
[4,5,6,9,11,12,1,2,3,7,8,10] => 0
[4,5,6,10,11,12,1,2,3,7,8,9] => 0
[4,5,7,8,10,12,1,2,3,6,9,11] => 0
[4,5,7,8,11,12,1,2,3,6,9,10] => 0
[4,5,7,9,10,12,1,2,3,6,8,11] => 0
[4,5,7,9,11,12,1,2,3,6,8,10] => 0
[4,5,7,10,11,12,1,2,3,6,8,9] => 0
[4,5,8,9,10,12,1,2,3,6,7,11] => 0
[4,5,8,9,11,12,1,2,3,6,7,10] => 0
[4,5,8,10,11,12,1,2,3,6,7,9] => 0
[4,5,9,10,11,12,1,2,3,6,7,8] => 0
[4,6,7,8,10,12,1,2,3,5,9,11] => 0
[4,6,7,8,11,12,1,2,3,5,9,10] => 0
[4,6,7,9,10,12,1,2,3,5,8,11] => 0
[4,6,7,9,11,12,1,2,3,5,8,10] => 0
[4,6,7,10,11,12,1,2,3,5,8,9] => 0
[4,6,8,9,10,12,1,2,3,5,7,11] => 0
[4,6,8,9,11,12,1,2,3,5,7,10] => 0
[4,6,8,10,11,12,1,2,3,5,7,9] => 0
[4,6,9,10,11,12,1,2,3,5,7,8] => 0
[4,7,8,9,10,12,1,2,3,5,6,11] => 0
[4,7,8,9,11,12,1,2,3,5,6,10] => 0
[4,7,8,10,11,12,1,2,3,5,6,9] => 0
[4,7,9,10,11,12,1,2,3,5,6,8] => 0
[4,8,9,10,11,12,1,2,3,5,6,7] => 0
[5,6,7,8,10,12,1,2,3,4,9,11] => 0
[5,6,7,8,11,12,1,2,3,4,9,10] => 0
[5,6,7,9,10,12,1,2,3,4,8,11] => 0
[5,6,7,9,11,12,1,2,3,4,8,10] => 0
[5,6,7,10,11,12,1,2,3,4,8,9] => 0
[5,6,8,9,10,12,1,2,3,4,7,11] => 0
[5,6,8,9,11,12,1,2,3,4,7,10] => 0
[5,6,8,10,11,12,1,2,3,4,7,9] => 0
[5,6,9,10,11,12,1,2,3,4,7,8] => 0
[5,7,8,9,10,12,1,2,3,4,6,11] => 0
[5,7,8,9,11,12,1,2,3,4,6,10] => 0
[5,7,8,10,11,12,1,2,3,4,6,9] => 0
[5,7,9,10,11,12,1,2,3,4,6,8] => 0
[5,8,9,10,11,12,1,2,3,4,6,7] => 0
[6,7,8,9,10,12,1,2,3,4,5,11] => 0
[6,7,8,9,11,12,1,2,3,4,5,10] => 0
[6,7,8,10,11,12,1,2,3,4,5,9] => 0
[6,7,9,10,11,12,1,2,3,4,5,8] => 0
[6,8,9,10,11,12,1,2,3,4,5,7] => 0
[7,8,9,10,11,12,1,2,3,4,5,6] => 0

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Created: Feb 23, 2016 at 21:35 by Christian Stump

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Last Updated: Jan 07, 2018 at 22:38 by Martin Rubey