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* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St000058
-----------------------------------------------------------------------------
Collection: Permutations
-----------------------------------------------------------------------------
Description: The order of a permutation.
$\operatorname{ord}(\pi)$ is given by the minimial $k$ for which $\pi^k$ is the identity permutation.
-----------------------------------------------------------------------------
References: [1] Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1<=k<=g(n), where g(n) = A000793(n) is Landau's function.. [[OEIS:A057731]]
-----------------------------------------------------------------------------
Code:
def statistic(pi):
return pi.to_permutation_group_element().order()
-----------------------------------------------------------------------------
Statistic values:
[1] => 1
[1,2] => 1
[2,1] => 2
[1,2,3] => 1
[1,3,2] => 2
[2,1,3] => 2
[2,3,1] => 3
[3,1,2] => 3
[3,2,1] => 2
[1,2,3,4] => 1
[1,2,4,3] => 2
[1,3,2,4] => 2
[1,3,4,2] => 3
[1,4,2,3] => 3
[1,4,3,2] => 2
[2,1,3,4] => 2
[2,1,4,3] => 2
[2,3,1,4] => 3
[2,3,4,1] => 4
[2,4,1,3] => 4
[2,4,3,1] => 3
[3,1,2,4] => 3
[3,1,4,2] => 4
[3,2,1,4] => 2
[3,2,4,1] => 3
[3,4,1,2] => 2
[3,4,2,1] => 4
[4,1,2,3] => 4
[4,1,3,2] => 3
[4,2,1,3] => 3
[4,2,3,1] => 2
[4,3,1,2] => 4
[4,3,2,1] => 2
[1,2,3,4,5] => 1
[1,2,3,5,4] => 2
[1,2,4,3,5] => 2
[1,2,4,5,3] => 3
[1,2,5,3,4] => 3
[1,2,5,4,3] => 2
[1,3,2,4,5] => 2
[1,3,2,5,4] => 2
[1,3,4,2,5] => 3
[1,3,4,5,2] => 4
[1,3,5,2,4] => 4
[1,3,5,4,2] => 3
[1,4,2,3,5] => 3
[1,4,2,5,3] => 4
[1,4,3,2,5] => 2
[1,4,3,5,2] => 3
[1,4,5,2,3] => 2
[1,4,5,3,2] => 4
[1,5,2,3,4] => 4
[1,5,2,4,3] => 3
[1,5,3,2,4] => 3
[1,5,3,4,2] => 2
[1,5,4,2,3] => 4
[1,5,4,3,2] => 2
[2,1,3,4,5] => 2
[2,1,3,5,4] => 2
[2,1,4,3,5] => 2
[2,1,4,5,3] => 6
[2,1,5,3,4] => 6
[2,1,5,4,3] => 2
[2,3,1,4,5] => 3
[2,3,1,5,4] => 6
[2,3,4,1,5] => 4
[2,3,4,5,1] => 5
[2,3,5,1,4] => 5
[2,3,5,4,1] => 4
[2,4,1,3,5] => 4
[2,4,1,5,3] => 5
[2,4,3,1,5] => 3
[2,4,3,5,1] => 4
[2,4,5,1,3] => 6
[2,4,5,3,1] => 5
[2,5,1,3,4] => 5
[2,5,1,4,3] => 4
[2,5,3,1,4] => 4
[2,5,3,4,1] => 3
[2,5,4,1,3] => 5
[2,5,4,3,1] => 6
[3,1,2,4,5] => 3
[3,1,2,5,4] => 6
[3,1,4,2,5] => 4
[3,1,4,5,2] => 5
[3,1,5,2,4] => 5
[3,1,5,4,2] => 4
[3,2,1,4,5] => 2
[3,2,1,5,4] => 2
[3,2,4,1,5] => 3
[3,2,4,5,1] => 4
[3,2,5,1,4] => 4
[3,2,5,4,1] => 3
[3,4,1,2,5] => 2
[3,4,1,5,2] => 6
[3,4,2,1,5] => 4
[3,4,2,5,1] => 5
[3,4,5,1,2] => 5
[3,4,5,2,1] => 6
[3,5,1,2,4] => 6
[3,5,1,4,2] => 2
[3,5,2,1,4] => 5
[3,5,2,4,1] => 4
[3,5,4,1,2] => 6
[3,5,4,2,1] => 5
[4,1,2,3,5] => 4
[4,1,2,5,3] => 5
[4,1,3,2,5] => 3
[4,1,3,5,2] => 4
[4,1,5,2,3] => 6
[4,1,5,3,2] => 5
[4,2,1,3,5] => 3
[4,2,1,5,3] => 4
[4,2,3,1,5] => 2
[4,2,3,5,1] => 3
[4,2,5,1,3] => 2
[4,2,5,3,1] => 4
[4,3,1,2,5] => 4
[4,3,1,5,2] => 5
[4,3,2,1,5] => 2
[4,3,2,5,1] => 6
[4,3,5,1,2] => 6
[4,3,5,2,1] => 5
[4,5,1,2,3] => 5
[4,5,1,3,2] => 6
[4,5,2,1,3] => 6
[4,5,2,3,1] => 5
[4,5,3,1,2] => 2
[4,5,3,2,1] => 4
[5,1,2,3,4] => 5
[5,1,2,4,3] => 4
[5,1,3,2,4] => 4
[5,1,3,4,2] => 3
[5,1,4,2,3] => 5
[5,1,4,3,2] => 6
[5,2,1,3,4] => 4
[5,2,1,4,3] => 3
[5,2,3,1,4] => 3
[5,2,3,4,1] => 2
[5,2,4,1,3] => 4
[5,2,4,3,1] => 2
[5,3,1,2,4] => 5
[5,3,1,4,2] => 4
[5,3,2,1,4] => 6
[5,3,2,4,1] => 2
[5,3,4,1,2] => 5
[5,3,4,2,1] => 6
[5,4,1,2,3] => 6
[5,4,1,3,2] => 5
[5,4,2,1,3] => 5
[5,4,2,3,1] => 6
[5,4,3,1,2] => 4
[5,4,3,2,1] => 2
[1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => 2
[1,2,3,5,4,6] => 2
[1,2,3,5,6,4] => 3
[1,2,3,6,4,5] => 3
[1,2,3,6,5,4] => 2
[1,2,4,3,5,6] => 2
[1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => 3
[1,2,4,5,6,3] => 4
[1,2,4,6,3,5] => 4
[1,2,4,6,5,3] => 3
[1,2,5,3,4,6] => 3
[1,2,5,3,6,4] => 4
[1,2,5,4,3,6] => 2
[1,2,5,4,6,3] => 3
[1,2,5,6,3,4] => 2
[1,2,5,6,4,3] => 4
[1,2,6,3,4,5] => 4
[1,2,6,3,5,4] => 3
[1,2,6,4,3,5] => 3
[1,2,6,4,5,3] => 2
[1,2,6,5,3,4] => 4
[1,2,6,5,4,3] => 2
[1,3,2,4,5,6] => 2
[1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => 6
[1,3,2,6,4,5] => 6
[1,3,2,6,5,4] => 2
[1,3,4,2,5,6] => 3
[1,3,4,2,6,5] => 6
[1,3,4,5,2,6] => 4
[1,3,4,5,6,2] => 5
[1,3,4,6,2,5] => 5
[1,3,4,6,5,2] => 4
[1,3,5,2,4,6] => 4
[1,3,5,2,6,4] => 5
[1,3,5,4,2,6] => 3
[1,3,5,4,6,2] => 4
[1,3,5,6,2,4] => 6
[1,3,5,6,4,2] => 5
[1,3,6,2,4,5] => 5
[1,3,6,2,5,4] => 4
[1,3,6,4,2,5] => 4
[1,3,6,4,5,2] => 3
[1,3,6,5,2,4] => 5
[1,3,6,5,4,2] => 6
[1,4,2,3,5,6] => 3
[1,4,2,3,6,5] => 6
[1,4,2,5,3,6] => 4
[1,4,2,5,6,3] => 5
[1,4,2,6,3,5] => 5
[1,4,2,6,5,3] => 4
[1,4,3,2,5,6] => 2
[1,4,3,2,6,5] => 2
[1,4,3,5,2,6] => 3
[1,4,3,5,6,2] => 4
[1,4,3,6,2,5] => 4
[1,4,3,6,5,2] => 3
[1,4,5,2,3,6] => 2
[1,4,5,2,6,3] => 6
[1,4,5,3,2,6] => 4
[1,4,5,3,6,2] => 5
[1,4,5,6,2,3] => 5
[1,4,5,6,3,2] => 6
[1,4,6,2,3,5] => 6
[1,4,6,2,5,3] => 2
[1,4,6,3,2,5] => 5
[1,4,6,3,5,2] => 4
[1,4,6,5,2,3] => 6
[1,4,6,5,3,2] => 5
[1,5,2,3,4,6] => 4
[1,5,2,3,6,4] => 5
[1,5,2,4,3,6] => 3
[1,5,2,4,6,3] => 4
[1,5,2,6,3,4] => 6
[1,5,2,6,4,3] => 5
[1,5,3,2,4,6] => 3
[1,5,3,2,6,4] => 4
[1,5,3,4,2,6] => 2
[1,5,3,4,6,2] => 3
[1,5,3,6,2,4] => 2
[1,5,3,6,4,2] => 4
[1,5,4,2,3,6] => 4
[1,5,4,2,6,3] => 5
[1,5,4,3,2,6] => 2
[1,5,4,3,6,2] => 6
[1,5,4,6,2,3] => 6
[1,5,4,6,3,2] => 5
[1,5,6,2,3,4] => 5
[1,5,6,2,4,3] => 6
[1,5,6,3,2,4] => 6
[1,5,6,3,4,2] => 5
[1,5,6,4,2,3] => 2
[1,5,6,4,3,2] => 4
[1,6,2,3,4,5] => 5
[1,6,2,3,5,4] => 4
[1,6,2,4,3,5] => 4
[1,6,2,4,5,3] => 3
[1,6,2,5,3,4] => 5
[1,6,2,5,4,3] => 6
[1,6,3,2,4,5] => 4
[1,6,3,2,5,4] => 3
[1,6,3,4,2,5] => 3
[1,6,3,4,5,2] => 2
[1,6,3,5,2,4] => 4
[1,6,3,5,4,2] => 2
[1,6,4,2,3,5] => 5
[1,6,4,2,5,3] => 4
[1,6,4,3,2,5] => 6
[1,6,4,3,5,2] => 2
[1,6,4,5,2,3] => 5
[1,6,4,5,3,2] => 6
[1,6,5,2,3,4] => 6
[1,6,5,2,4,3] => 5
[1,6,5,3,2,4] => 5
[1,6,5,3,4,2] => 6
[1,6,5,4,2,3] => 4
[1,6,5,4,3,2] => 2
[2,1,3,4,5,6] => 2
[2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => 6
[2,1,3,6,4,5] => 6
[2,1,3,6,5,4] => 2
[2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => 2
[2,1,4,5,3,6] => 6
[2,1,4,5,6,3] => 4
[2,1,4,6,3,5] => 4
[2,1,4,6,5,3] => 6
[2,1,5,3,4,6] => 6
[2,1,5,3,6,4] => 4
[2,1,5,4,3,6] => 2
[2,1,5,4,6,3] => 6
[2,1,5,6,3,4] => 2
[2,1,5,6,4,3] => 4
[2,1,6,3,4,5] => 4
[2,1,6,3,5,4] => 6
[2,1,6,4,3,5] => 6
[2,1,6,4,5,3] => 2
[2,1,6,5,3,4] => 4
[2,1,6,5,4,3] => 2
[2,3,1,4,5,6] => 3
[2,3,1,4,6,5] => 6
[2,3,1,5,4,6] => 6
[2,3,1,5,6,4] => 3
[2,3,1,6,4,5] => 3
[2,3,1,6,5,4] => 6
[2,3,4,1,5,6] => 4
[2,3,4,1,6,5] => 4
[2,3,4,5,1,6] => 5
[2,3,4,5,6,1] => 6
[2,3,4,6,1,5] => 6
[2,3,4,6,5,1] => 5
[2,3,5,1,4,6] => 5
[2,3,5,1,6,4] => 6
[2,3,5,4,1,6] => 4
[2,3,5,4,6,1] => 5
[2,3,5,6,1,4] => 4
[2,3,5,6,4,1] => 6
[2,3,6,1,4,5] => 6
[2,3,6,1,5,4] => 5
[2,3,6,4,1,5] => 5
[2,3,6,4,5,1] => 4
[2,3,6,5,1,4] => 6
[2,3,6,5,4,1] => 4
[2,4,1,3,5,6] => 4
[2,4,1,3,6,5] => 4
[2,4,1,5,3,6] => 5
[2,4,1,5,6,3] => 6
[2,4,1,6,3,5] => 6
[2,4,1,6,5,3] => 5
[2,4,3,1,5,6] => 3
[2,4,3,1,6,5] => 6
[2,4,3,5,1,6] => 4
[2,4,3,5,6,1] => 5
[2,4,3,6,1,5] => 5
[2,4,3,6,5,1] => 4
[2,4,5,1,3,6] => 6
[2,4,5,1,6,3] => 3
[2,4,5,3,1,6] => 5
[2,4,5,3,6,1] => 6
[2,4,5,6,1,3] => 6
[2,4,5,6,3,1] => 4
[2,4,6,1,3,5] => 3
[2,4,6,1,5,3] => 6
[2,4,6,3,1,5] => 6
[2,4,6,3,5,1] => 5
[2,4,6,5,1,3] => 4
[2,4,6,5,3,1] => 6
[2,5,1,3,4,6] => 5
[2,5,1,3,6,4] => 6
[2,5,1,4,3,6] => 4
[2,5,1,4,6,3] => 5
[2,5,1,6,3,4] => 4
[2,5,1,6,4,3] => 6
[2,5,3,1,4,6] => 4
[2,5,3,1,6,4] => 5
[2,5,3,4,1,6] => 3
[2,5,3,4,6,1] => 4
[2,5,3,6,1,4] => 6
[2,5,3,6,4,1] => 5
[2,5,4,1,3,6] => 5
[2,5,4,1,6,3] => 6
[2,5,4,3,1,6] => 6
[2,5,4,3,6,1] => 4
[2,5,4,6,1,3] => 3
[2,5,4,6,3,1] => 6
[2,5,6,1,3,4] => 6
[2,5,6,1,4,3] => 4
[2,5,6,3,1,4] => 3
[2,5,6,3,4,1] => 6
[2,5,6,4,1,3] => 6
[2,5,6,4,3,1] => 5
[2,6,1,3,4,5] => 6
[2,6,1,3,5,4] => 5
[2,6,1,4,3,5] => 5
[2,6,1,4,5,3] => 4
[2,6,1,5,3,4] => 6
[2,6,1,5,4,3] => 4
[2,6,3,1,4,5] => 5
[2,6,3,1,5,4] => 4
[2,6,3,4,1,5] => 4
[2,6,3,4,5,1] => 3
[2,6,3,5,1,4] => 5
[2,6,3,5,4,1] => 6
[2,6,4,1,3,5] => 6
[2,6,4,1,5,3] => 5
[2,6,4,3,1,5] => 4
[2,6,4,3,5,1] => 6
[2,6,4,5,1,3] => 6
[2,6,4,5,3,1] => 3
[2,6,5,1,3,4] => 4
[2,6,5,1,4,3] => 6
[2,6,5,3,1,4] => 6
[2,6,5,3,4,1] => 3
[2,6,5,4,1,3] => 5
[2,6,5,4,3,1] => 6
[3,1,2,4,5,6] => 3
[3,1,2,4,6,5] => 6
[3,1,2,5,4,6] => 6
[3,1,2,5,6,4] => 3
[3,1,2,6,4,5] => 3
[3,1,2,6,5,4] => 6
[3,1,4,2,5,6] => 4
[3,1,4,2,6,5] => 4
[3,1,4,5,2,6] => 5
[3,1,4,5,6,2] => 6
[3,1,4,6,2,5] => 6
[3,1,4,6,5,2] => 5
[3,1,5,2,4,6] => 5
[3,1,5,2,6,4] => 6
[3,1,5,4,2,6] => 4
[3,1,5,4,6,2] => 5
[3,1,5,6,2,4] => 4
[3,1,5,6,4,2] => 6
[3,1,6,2,4,5] => 6
[3,1,6,2,5,4] => 5
[3,1,6,4,2,5] => 5
[3,1,6,4,5,2] => 4
[3,1,6,5,2,4] => 6
[3,1,6,5,4,2] => 4
[3,2,1,4,5,6] => 2
[3,2,1,4,6,5] => 2
[3,2,1,5,4,6] => 2
[3,2,1,5,6,4] => 6
[3,2,1,6,4,5] => 6
[3,2,1,6,5,4] => 2
[3,2,4,1,5,6] => 3
[3,2,4,1,6,5] => 6
[3,2,4,5,1,6] => 4
[3,2,4,5,6,1] => 5
[3,2,4,6,1,5] => 5
[3,2,4,6,5,1] => 4
[3,2,5,1,4,6] => 4
[3,2,5,1,6,4] => 5
[3,2,5,4,1,6] => 3
[3,2,5,4,6,1] => 4
[3,2,5,6,1,4] => 6
[3,2,5,6,4,1] => 5
[3,2,6,1,4,5] => 5
[3,2,6,1,5,4] => 4
[3,2,6,4,1,5] => 4
[3,2,6,4,5,1] => 3
[3,2,6,5,1,4] => 5
[3,2,6,5,4,1] => 6
[3,4,1,2,5,6] => 2
[3,4,1,2,6,5] => 2
[3,4,1,5,2,6] => 6
[3,4,1,5,6,2] => 4
[3,4,1,6,2,5] => 4
[3,4,1,6,5,2] => 6
[3,4,2,1,5,6] => 4
[3,4,2,1,6,5] => 4
[3,4,2,5,1,6] => 5
[3,4,2,5,6,1] => 6
[3,4,2,6,1,5] => 6
[3,4,2,6,5,1] => 5
[3,4,5,1,2,6] => 5
[3,4,5,1,6,2] => 6
[3,4,5,2,1,6] => 6
[3,4,5,2,6,1] => 4
[3,4,5,6,1,2] => 3
[3,4,5,6,2,1] => 6
[3,4,6,1,2,5] => 6
[3,4,6,1,5,2] => 5
[3,4,6,2,1,5] => 4
[3,4,6,2,5,1] => 6
[3,4,6,5,1,2] => 6
[3,4,6,5,2,1] => 3
[3,5,1,2,4,6] => 6
[3,5,1,2,6,4] => 4
[3,5,1,4,2,6] => 2
[3,5,1,4,6,2] => 6
[3,5,1,6,2,4] => 2
[3,5,1,6,4,2] => 4
[3,5,2,1,4,6] => 5
[3,5,2,1,6,4] => 6
[3,5,2,4,1,6] => 4
[3,5,2,4,6,1] => 5
[3,5,2,6,1,4] => 4
[3,5,2,6,4,1] => 6
[3,5,4,1,2,6] => 6
[3,5,4,1,6,2] => 3
[3,5,4,2,1,6] => 5
[3,5,4,2,6,1] => 6
[3,5,4,6,1,2] => 6
[3,5,4,6,2,1] => 4
[3,5,6,1,2,4] => 4
[3,5,6,1,4,2] => 6
[3,5,6,2,1,4] => 6
[3,5,6,2,4,1] => 3
[3,5,6,4,1,2] => 5
[3,5,6,4,2,1] => 6
[3,6,1,2,4,5] => 4
[3,6,1,2,5,4] => 6
[3,6,1,4,2,5] => 6
[3,6,1,4,5,2] => 2
[3,6,1,5,2,4] => 4
[3,6,1,5,4,2] => 2
[3,6,2,1,4,5] => 6
[3,6,2,1,5,4] => 5
[3,6,2,4,1,5] => 5
[3,6,2,4,5,1] => 4
[3,6,2,5,1,4] => 6
[3,6,2,5,4,1] => 4
[3,6,4,1,2,5] => 3
[3,6,4,1,5,2] => 6
[3,6,4,2,1,5] => 6
[3,6,4,2,5,1] => 5
[3,6,4,5,1,2] => 4
[3,6,4,5,2,1] => 6
[3,6,5,1,2,4] => 6
[3,6,5,1,4,2] => 4
[3,6,5,2,1,4] => 3
[3,6,5,2,4,1] => 6
[3,6,5,4,1,2] => 6
[3,6,5,4,2,1] => 5
[4,1,2,3,5,6] => 4
[4,1,2,3,6,5] => 4
[4,1,2,5,3,6] => 5
[4,1,2,5,6,3] => 6
[4,1,2,6,3,5] => 6
[4,1,2,6,5,3] => 5
[4,1,3,2,5,6] => 3
[4,1,3,2,6,5] => 6
[4,1,3,5,2,6] => 4
[4,1,3,5,6,2] => 5
[4,1,3,6,2,5] => 5
[4,1,3,6,5,2] => 4
[4,1,5,2,3,6] => 6
[4,1,5,2,6,3] => 3
[4,1,5,3,2,6] => 5
[4,1,5,3,6,2] => 6
[4,1,5,6,2,3] => 6
[4,1,5,6,3,2] => 4
[4,1,6,2,3,5] => 3
[4,1,6,2,5,3] => 6
[4,1,6,3,2,5] => 6
[4,1,6,3,5,2] => 5
[4,1,6,5,2,3] => 4
[4,1,6,5,3,2] => 6
[4,2,1,3,5,6] => 3
[4,2,1,3,6,5] => 6
[4,2,1,5,3,6] => 4
[4,2,1,5,6,3] => 5
[4,2,1,6,3,5] => 5
[4,2,1,6,5,3] => 4
[4,2,3,1,5,6] => 2
[4,2,3,1,6,5] => 2
[4,2,3,5,1,6] => 3
[4,2,3,5,6,1] => 4
[4,2,3,6,1,5] => 4
[4,2,3,6,5,1] => 3
[4,2,5,1,3,6] => 2
[4,2,5,1,6,3] => 6
[4,2,5,3,1,6] => 4
[4,2,5,3,6,1] => 5
[4,2,5,6,1,3] => 5
[4,2,5,6,3,1] => 6
[4,2,6,1,3,5] => 6
[4,2,6,1,5,3] => 2
[4,2,6,3,1,5] => 5
[4,2,6,3,5,1] => 4
[4,2,6,5,1,3] => 6
[4,2,6,5,3,1] => 5
[4,3,1,2,5,6] => 4
[4,3,1,2,6,5] => 4
[4,3,1,5,2,6] => 5
[4,3,1,5,6,2] => 6
[4,3,1,6,2,5] => 6
[4,3,1,6,5,2] => 5
[4,3,2,1,5,6] => 2
[4,3,2,1,6,5] => 2
[4,3,2,5,1,6] => 6
[4,3,2,5,6,1] => 4
[4,3,2,6,1,5] => 4
[4,3,2,6,5,1] => 6
[4,3,5,1,2,6] => 6
[4,3,5,1,6,2] => 4
[4,3,5,2,1,6] => 5
[4,3,5,2,6,1] => 6
[4,3,5,6,1,2] => 6
[4,3,5,6,2,1] => 3
[4,3,6,1,2,5] => 4
[4,3,6,1,5,2] => 6
[4,3,6,2,1,5] => 6
[4,3,6,2,5,1] => 5
[4,3,6,5,1,2] => 3
[4,3,6,5,2,1] => 6
[4,5,1,2,3,6] => 5
[4,5,1,2,6,3] => 6
[4,5,1,3,2,6] => 6
[4,5,1,3,6,2] => 3
[4,5,1,6,2,3] => 4
[4,5,1,6,3,2] => 6
[4,5,2,1,3,6] => 6
[4,5,2,1,6,3] => 4
[4,5,2,3,1,6] => 5
[4,5,2,3,6,1] => 6
[4,5,2,6,1,3] => 6
[4,5,2,6,3,1] => 3
[4,5,3,1,2,6] => 2
[4,5,3,1,6,2] => 6
[4,5,3,2,1,6] => 4
[4,5,3,2,6,1] => 5
[4,5,3,6,1,2] => 5
[4,5,3,6,2,1] => 6
[4,5,6,1,2,3] => 2
[4,5,6,1,3,2] => 4
[4,5,6,2,1,3] => 4
[4,5,6,2,3,1] => 6
[4,5,6,3,1,2] => 6
[4,5,6,3,2,1] => 4
[4,6,1,2,3,5] => 6
[4,6,1,2,5,3] => 5
[4,6,1,3,2,5] => 3
[4,6,1,3,5,2] => 6
[4,6,1,5,2,3] => 6
[4,6,1,5,3,2] => 4
[4,6,2,1,3,5] => 4
[4,6,2,1,5,3] => 6
[4,6,2,3,1,5] => 6
[4,6,2,3,5,1] => 5
[4,6,2,5,1,3] => 3
[4,6,2,5,3,1] => 6
[4,6,3,1,2,5] => 6
[4,6,3,1,5,2] => 2
[4,6,3,2,1,5] => 5
[4,6,3,2,5,1] => 4
[4,6,3,5,1,2] => 6
[4,6,3,5,2,1] => 5
[4,6,5,1,2,3] => 4
[4,6,5,1,3,2] => 2
[4,6,5,2,1,3] => 6
[4,6,5,2,3,1] => 4
[4,6,5,3,1,2] => 4
[4,6,5,3,2,1] => 6
[5,1,2,3,4,6] => 5
[5,1,2,3,6,4] => 6
[5,1,2,4,3,6] => 4
[5,1,2,4,6,3] => 5
[5,1,2,6,3,4] => 4
[5,1,2,6,4,3] => 6
[5,1,3,2,4,6] => 4
[5,1,3,2,6,4] => 5
[5,1,3,4,2,6] => 3
[5,1,3,4,6,2] => 4
[5,1,3,6,2,4] => 6
[5,1,3,6,4,2] => 5
[5,1,4,2,3,6] => 5
[5,1,4,2,6,3] => 6
[5,1,4,3,2,6] => 6
[5,1,4,3,6,2] => 4
[5,1,4,6,2,3] => 3
[5,1,4,6,3,2] => 6
[5,1,6,2,3,4] => 6
[5,1,6,2,4,3] => 4
[5,1,6,3,2,4] => 3
[5,1,6,3,4,2] => 6
[5,1,6,4,2,3] => 6
[5,1,6,4,3,2] => 5
[5,2,1,3,4,6] => 4
[5,2,1,3,6,4] => 5
[5,2,1,4,3,6] => 3
[5,2,1,4,6,3] => 4
[5,2,1,6,3,4] => 6
[5,2,1,6,4,3] => 5
[5,2,3,1,4,6] => 3
[5,2,3,1,6,4] => 4
[5,2,3,4,1,6] => 2
[5,2,3,4,6,1] => 3
[5,2,3,6,1,4] => 2
[5,2,3,6,4,1] => 4
[5,2,4,1,3,6] => 4
[5,2,4,1,6,3] => 5
[5,2,4,3,1,6] => 2
[5,2,4,3,6,1] => 6
[5,2,4,6,1,3] => 6
[5,2,4,6,3,1] => 5
[5,2,6,1,3,4] => 5
[5,2,6,1,4,3] => 6
[5,2,6,3,1,4] => 6
[5,2,6,3,4,1] => 5
[5,2,6,4,1,3] => 2
[5,2,6,4,3,1] => 4
[5,3,1,2,4,6] => 5
[5,3,1,2,6,4] => 6
[5,3,1,4,2,6] => 4
[5,3,1,4,6,2] => 5
[5,3,1,6,2,4] => 4
[5,3,1,6,4,2] => 6
[5,3,2,1,4,6] => 6
[5,3,2,1,6,4] => 4
[5,3,2,4,1,6] => 2
[5,3,2,4,6,1] => 6
[5,3,2,6,1,4] => 2
[5,3,2,6,4,1] => 4
[5,3,4,1,2,6] => 5
[5,3,4,1,6,2] => 6
[5,3,4,2,1,6] => 6
[5,3,4,2,6,1] => 3
[5,3,4,6,1,2] => 4
[5,3,4,6,2,1] => 6
[5,3,6,1,2,4] => 6
[5,3,6,1,4,2] => 3
[5,3,6,2,1,4] => 4
[5,3,6,2,4,1] => 6
[5,3,6,4,1,2] => 6
[5,3,6,4,2,1] => 5
[5,4,1,2,3,6] => 6
[5,4,1,2,6,3] => 4
[5,4,1,3,2,6] => 5
[5,4,1,3,6,2] => 6
[5,4,1,6,2,3] => 6
[5,4,1,6,3,2] => 3
[5,4,2,1,3,6] => 5
[5,4,2,1,6,3] => 6
[5,4,2,3,1,6] => 6
[5,4,2,3,6,1] => 3
[5,4,2,6,1,3] => 4
[5,4,2,6,3,1] => 6
[5,4,3,1,2,6] => 4
[5,4,3,1,6,2] => 5
[5,4,3,2,1,6] => 2
[5,4,3,2,6,1] => 6
[5,4,3,6,1,2] => 6
[5,4,3,6,2,1] => 5
[5,4,6,1,2,3] => 4
[5,4,6,1,3,2] => 6
[5,4,6,2,1,3] => 2
[5,4,6,2,3,1] => 4
[5,4,6,3,1,2] => 4
[5,4,6,3,2,1] => 6
[5,6,1,2,3,4] => 3
[5,6,1,2,4,3] => 6
[5,6,1,3,2,4] => 6
[5,6,1,3,4,2] => 4
[5,6,1,4,2,3] => 5
[5,6,1,4,3,2] => 6
[5,6,2,1,3,4] => 6
[5,6,2,1,4,3] => 3
[5,6,2,3,1,4] => 4
[5,6,2,3,4,1] => 6
[5,6,2,4,1,3] => 6
[5,6,2,4,3,1] => 5
[5,6,3,1,2,4] => 5
[5,6,3,1,4,2] => 6
[5,6,3,2,1,4] => 6
[5,6,3,2,4,1] => 5
[5,6,3,4,1,2] => 2
[5,6,3,4,2,1] => 4
[5,6,4,1,2,3] => 6
[5,6,4,1,3,2] => 4
[5,6,4,2,1,3] => 4
[5,6,4,2,3,1] => 6
[5,6,4,3,1,2] => 2
[5,6,4,3,2,1] => 4
[6,1,2,3,4,5] => 6
[6,1,2,3,5,4] => 5
[6,1,2,4,3,5] => 5
[6,1,2,4,5,3] => 4
[6,1,2,5,3,4] => 6
[6,1,2,5,4,3] => 4
[6,1,3,2,4,5] => 5
[6,1,3,2,5,4] => 4
[6,1,3,4,2,5] => 4
[6,1,3,4,5,2] => 3
[6,1,3,5,2,4] => 5
[6,1,3,5,4,2] => 6
[6,1,4,2,3,5] => 6
[6,1,4,2,5,3] => 5
[6,1,4,3,2,5] => 4
[6,1,4,3,5,2] => 6
[6,1,4,5,2,3] => 6
[6,1,4,5,3,2] => 3
[6,1,5,2,3,4] => 4
[6,1,5,2,4,3] => 6
[6,1,5,3,2,4] => 6
[6,1,5,3,4,2] => 3
[6,1,5,4,2,3] => 5
[6,1,5,4,3,2] => 6
[6,2,1,3,4,5] => 5
[6,2,1,3,5,4] => 4
[6,2,1,4,3,5] => 4
[6,2,1,4,5,3] => 3
[6,2,1,5,3,4] => 5
[6,2,1,5,4,3] => 6
[6,2,3,1,4,5] => 4
[6,2,3,1,5,4] => 3
[6,2,3,4,1,5] => 3
[6,2,3,4,5,1] => 2
[6,2,3,5,1,4] => 4
[6,2,3,5,4,1] => 2
[6,2,4,1,3,5] => 5
[6,2,4,1,5,3] => 4
[6,2,4,3,1,5] => 6
[6,2,4,3,5,1] => 2
[6,2,4,5,1,3] => 5
[6,2,4,5,3,1] => 6
[6,2,5,1,3,4] => 6
[6,2,5,1,4,3] => 5
[6,2,5,3,1,4] => 5
[6,2,5,3,4,1] => 6
[6,2,5,4,1,3] => 4
[6,2,5,4,3,1] => 2
[6,3,1,2,4,5] => 6
[6,3,1,2,5,4] => 5
[6,3,1,4,2,5] => 5
[6,3,1,4,5,2] => 4
[6,3,1,5,2,4] => 6
[6,3,1,5,4,2] => 4
[6,3,2,1,4,5] => 4
[6,3,2,1,5,4] => 6
[6,3,2,4,1,5] => 6
[6,3,2,4,5,1] => 2
[6,3,2,5,1,4] => 4
[6,3,2,5,4,1] => 2
[6,3,4,1,2,5] => 6
[6,3,4,1,5,2] => 5
[6,3,4,2,1,5] => 3
[6,3,4,2,5,1] => 6
[6,3,4,5,1,2] => 6
[6,3,4,5,2,1] => 4
[6,3,5,1,2,4] => 3
[6,3,5,1,4,2] => 6
[6,3,5,2,1,4] => 6
[6,3,5,2,4,1] => 4
[6,3,5,4,1,2] => 5
[6,3,5,4,2,1] => 6
[6,4,1,2,3,5] => 4
[6,4,1,2,5,3] => 6
[6,4,1,3,2,5] => 6
[6,4,1,3,5,2] => 5
[6,4,1,5,2,3] => 3
[6,4,1,5,3,2] => 6
[6,4,2,1,3,5] => 6
[6,4,2,1,5,3] => 5
[6,4,2,3,1,5] => 3
[6,4,2,3,5,1] => 6
[6,4,2,5,1,3] => 6
[6,4,2,5,3,1] => 4
[6,4,3,1,2,5] => 5
[6,4,3,1,5,2] => 4
[6,4,3,2,1,5] => 6
[6,4,3,2,5,1] => 2
[6,4,3,5,1,2] => 5
[6,4,3,5,2,1] => 6
[6,4,5,1,2,3] => 6
[6,4,5,1,3,2] => 4
[6,4,5,2,1,3] => 4
[6,4,5,2,3,1] => 2
[6,4,5,3,1,2] => 6
[6,4,5,3,2,1] => 4
[6,5,1,2,3,4] => 6
[6,5,1,2,4,3] => 3
[6,5,1,3,2,4] => 4
[6,5,1,3,4,2] => 6
[6,5,1,4,2,3] => 6
[6,5,1,4,3,2] => 5
[6,5,2,1,3,4] => 3
[6,5,2,1,4,3] => 6
[6,5,2,3,1,4] => 6
[6,5,2,3,4,1] => 4
[6,5,2,4,1,3] => 5
[6,5,2,4,3,1] => 6
[6,5,3,1,2,4] => 6
[6,5,3,1,4,2] => 5
[6,5,3,2,1,4] => 5
[6,5,3,2,4,1] => 6
[6,5,3,4,1,2] => 4
[6,5,3,4,2,1] => 2
[6,5,4,1,2,3] => 4
[6,5,4,1,3,2] => 6
[6,5,4,2,1,3] => 6
[6,5,4,2,3,1] => 4
[6,5,4,3,1,2] => 4
[6,5,4,3,2,1] => 2
[1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => 2
[1,2,3,4,6,5,7] => 2
[1,2,3,4,6,7,5] => 3
[1,2,3,4,7,5,6] => 3
[1,2,3,4,7,6,5] => 2
[1,2,3,5,4,6,7] => 2
[1,2,3,5,4,7,6] => 2
[1,2,3,5,6,4,7] => 3
[1,2,3,5,6,7,4] => 4
[1,2,3,5,7,4,6] => 4
[1,2,3,5,7,6,4] => 3
[1,2,3,6,4,5,7] => 3
[1,2,3,6,4,7,5] => 4
[1,2,3,6,7,4,5] => 2
[1,2,3,6,7,5,4] => 4
[1,2,3,7,4,5,6] => 4
[1,2,3,7,4,6,5] => 3
[1,2,3,7,5,4,6] => 3
[1,2,3,7,5,6,4] => 2
[1,2,3,7,6,4,5] => 4
[1,2,3,7,6,5,4] => 2
[1,2,4,3,5,6,7] => 2
[1,2,4,3,5,7,6] => 2
[1,2,4,3,6,5,7] => 2
[1,2,4,3,6,7,5] => 6
[1,2,4,3,7,5,6] => 6
[1,2,4,3,7,6,5] => 2
[1,2,4,5,3,6,7] => 3
[1,2,4,5,3,7,6] => 6
[1,2,4,5,6,3,7] => 4
[1,2,4,5,6,7,3] => 5
[1,2,4,5,7,3,6] => 5
[1,2,4,5,7,6,3] => 4
[1,2,4,6,3,5,7] => 4
[1,2,4,6,3,7,5] => 5
[1,2,4,6,7,3,5] => 6
[1,2,4,6,7,5,3] => 5
[1,2,4,7,3,5,6] => 5
[1,2,4,7,5,6,3] => 3
[1,2,4,7,6,5,3] => 6
[1,2,5,3,4,6,7] => 3
[1,2,5,3,4,7,6] => 6
[1,2,5,3,6,4,7] => 4
[1,2,5,3,6,7,4] => 5
[1,2,5,3,7,4,6] => 5
[1,2,5,4,3,7,6] => 2
[1,2,5,4,6,7,3] => 4
[1,2,5,6,3,4,7] => 2
[1,2,5,6,3,7,4] => 6
[1,2,5,6,7,3,4] => 5
[1,2,5,6,7,4,3] => 6
[1,2,5,7,3,4,6] => 6
[1,2,5,7,3,6,4] => 2
[1,2,5,7,4,3,6] => 5
[1,2,5,7,6,3,4] => 6
[1,2,5,7,6,4,3] => 5
[1,2,6,3,4,5,7] => 4
[1,2,6,3,4,7,5] => 5
[1,2,6,3,5,7,4] => 4
[1,2,6,3,7,4,5] => 6
[1,2,6,3,7,5,4] => 5
[1,2,6,4,3,7,5] => 4
[1,2,6,4,7,3,5] => 2
[1,2,6,5,3,7,4] => 5
[1,2,6,5,4,7,3] => 6
[1,2,6,5,7,3,4] => 6
[1,2,6,7,3,4,5] => 5
[1,2,6,7,4,3,5] => 6
[1,2,6,7,4,5,3] => 5
[1,2,6,7,5,3,4] => 2
[1,2,6,7,5,4,3] => 4
[1,2,7,3,4,5,6] => 5
[1,2,7,3,4,6,5] => 4
[1,2,7,3,5,4,6] => 4
[1,2,7,3,5,6,4] => 3
[1,2,7,3,6,5,4] => 6
[1,2,7,4,3,5,6] => 4
[1,2,7,4,3,6,5] => 3
[1,2,7,4,5,3,6] => 3
[1,2,7,4,5,6,3] => 2
[1,2,7,5,3,4,6] => 5
[1,2,7,5,6,3,4] => 5
[1,2,7,5,6,4,3] => 6
[1,2,7,6,3,4,5] => 6
[1,2,7,6,3,5,4] => 5
[1,2,7,6,4,3,5] => 5
[1,2,7,6,4,5,3] => 6
[1,2,7,6,5,3,4] => 4
[1,2,7,6,5,4,3] => 2
[1,3,2,4,5,6,7] => 2
[1,3,2,4,5,7,6] => 2
[1,3,2,4,6,5,7] => 2
[1,3,2,4,6,7,5] => 6
[1,3,2,4,7,5,6] => 6
[1,3,2,4,7,6,5] => 2
[1,3,2,5,4,6,7] => 2
[1,3,2,5,4,7,6] => 2
[1,3,2,5,6,4,7] => 6
[1,3,2,5,6,7,4] => 4
[1,3,2,5,7,4,6] => 4
[1,3,2,6,4,5,7] => 6
[1,3,2,6,4,7,5] => 4
[1,3,2,6,7,4,5] => 2
[1,3,2,7,4,5,6] => 4
[1,3,4,2,5,6,7] => 3
[1,3,4,2,5,7,6] => 6
[1,3,4,2,6,5,7] => 6
[1,3,4,2,6,7,5] => 3
[1,3,4,2,7,5,6] => 3
[1,3,4,2,7,6,5] => 6
[1,3,4,5,2,6,7] => 4
[1,3,4,5,2,7,6] => 4
[1,3,4,5,6,2,7] => 5
[1,3,4,5,6,7,2] => 6
[1,3,4,5,7,2,6] => 6
[1,3,4,5,7,6,2] => 5
[1,3,4,6,2,5,7] => 5
[1,3,4,6,2,7,5] => 6
[1,3,4,6,7,2,5] => 4
[1,3,4,6,7,5,2] => 6
[1,3,4,7,2,5,6] => 6
[1,3,4,7,2,6,5] => 5
[1,3,4,7,5,6,2] => 4
[1,3,4,7,6,5,2] => 4
[1,3,5,2,4,6,7] => 4
[1,3,5,2,4,7,6] => 4
[1,3,5,2,6,4,7] => 5
[1,3,5,2,6,7,4] => 6
[1,3,5,2,7,4,6] => 6
[1,3,5,2,7,6,4] => 5
[1,3,5,6,2,4,7] => 6
[1,3,5,6,2,7,4] => 3
[1,3,5,6,7,2,4] => 6
[1,3,5,6,7,4,2] => 4
[1,3,5,7,2,4,6] => 3
[1,3,5,7,2,6,4] => 6
[1,3,5,7,6,4,2] => 6
[1,3,6,2,4,5,7] => 5
[1,3,6,2,4,7,5] => 6
[1,3,6,2,5,7,4] => 5
[1,3,6,2,7,4,5] => 4
[1,3,6,4,2,7,5] => 5
[1,3,6,4,5,7,2] => 4
[1,3,6,7,2,4,5] => 6
[1,3,6,7,2,5,4] => 4
[1,3,6,7,4,5,2] => 6
[1,3,6,7,5,4,2] => 5
[1,3,7,2,4,5,6] => 6
[1,3,7,2,6,5,4] => 4
[1,3,7,4,2,6,5] => 4
[1,3,7,4,5,6,2] => 3
[1,3,7,5,2,4,6] => 6
[1,3,7,5,2,6,4] => 5
[1,3,7,5,6,4,2] => 3
[1,3,7,6,2,5,4] => 6
[1,3,7,6,4,5,2] => 3
[1,3,7,6,5,4,2] => 6
[1,4,2,3,5,6,7] => 3
[1,4,2,3,5,7,6] => 6
[1,4,2,3,6,5,7] => 6
[1,4,2,3,6,7,5] => 3
[1,4,2,3,7,5,6] => 3
[1,4,2,3,7,6,5] => 6
[1,4,2,5,3,6,7] => 4
[1,4,2,5,3,7,6] => 4
[1,4,2,5,6,3,7] => 5
[1,4,2,5,6,7,3] => 6
[1,4,2,5,7,3,6] => 6
[1,4,2,5,7,6,3] => 5
[1,4,2,6,3,5,7] => 5
[1,4,2,6,3,7,5] => 6
[1,4,2,6,7,3,5] => 4
[1,4,2,7,3,5,6] => 6
[1,4,2,7,3,6,5] => 5
[1,4,2,7,6,3,5] => 6
[1,4,2,7,6,5,3] => 4
[1,4,3,2,7,6,5] => 2
[1,4,3,5,6,7,2] => 5
[1,4,5,2,3,6,7] => 2
[1,4,5,2,3,7,6] => 2
[1,4,5,2,6,3,7] => 6
[1,4,5,2,6,7,3] => 4
[1,4,5,2,7,3,6] => 4
[1,4,5,2,7,6,3] => 6
[1,4,5,3,7,6,2] => 5
[1,4,5,6,2,3,7] => 5
[1,4,5,6,2,7,3] => 6
[1,4,5,6,7,2,3] => 3
[1,4,5,6,7,3,2] => 6
[1,4,5,7,2,3,6] => 6
[1,4,5,7,2,6,3] => 5
[1,4,5,7,6,2,3] => 6
[1,4,5,7,6,3,2] => 3
[1,4,6,2,3,5,7] => 6
[1,4,6,2,3,7,5] => 4
[1,4,6,2,7,3,5] => 2
[1,4,6,2,7,5,3] => 4
[1,4,6,7,2,3,5] => 4
[1,4,6,7,5,2,3] => 5
[1,4,6,7,5,3,2] => 6
[1,4,7,2,3,5,6] => 4
[1,4,7,2,3,6,5] => 6
[1,4,7,2,5,6,3] => 2
[1,4,7,2,6,5,3] => 2
[1,4,7,3,2,6,5] => 5
[1,4,7,3,5,2,6] => 5
[1,4,7,3,6,5,2] => 4
[1,4,7,5,6,2,3] => 4
[1,4,7,5,6,3,2] => 6
[1,4,7,6,2,5,3] => 4
[1,4,7,6,5,2,3] => 6
[1,4,7,6,5,3,2] => 5
[1,5,2,3,4,6,7] => 4
[1,5,2,3,4,7,6] => 4
[1,5,2,3,6,4,7] => 5
[1,5,2,3,6,7,4] => 6
[1,5,2,3,7,4,6] => 6
[1,5,2,3,7,6,4] => 5
[1,5,2,4,6,7,3] => 5
[1,5,2,4,7,6,3] => 4
[1,5,2,6,3,4,7] => 6
[1,5,2,6,3,7,4] => 3
[1,5,2,6,7,3,4] => 6
[1,5,2,6,7,4,3] => 4
[1,5,2,7,3,4,6] => 3
[1,5,2,7,3,6,4] => 6
[1,5,2,7,4,6,3] => 5
[1,5,2,7,6,4,3] => 6
[1,5,3,2,4,7,6] => 6
[1,5,3,2,6,7,4] => 5
[1,5,3,2,7,6,4] => 4
[1,5,3,4,2,7,6] => 2
[1,5,3,4,6,7,2] => 4
[1,5,3,4,7,6,2] => 3
[1,5,3,6,7,2,4] => 5
[1,5,3,7,2,4,6] => 6
[1,5,3,7,2,6,4] => 2
[1,5,3,7,4,6,2] => 4
[1,5,3,7,6,4,2] => 5
[1,5,4,2,7,6,3] => 5
[1,5,4,3,2,7,6] => 2
[1,5,4,3,7,6,2] => 6
[1,5,4,7,2,6,3] => 6
[1,5,4,7,6,3,2] => 6
[1,5,6,2,3,4,7] => 5
[1,5,6,2,3,7,4] => 6
[1,5,6,2,4,7,3] => 3
[1,5,6,2,7,3,4] => 4
[1,5,6,3,2,7,4] => 4
[1,5,6,3,4,7,2] => 6
[1,5,6,3,7,2,4] => 6
[1,5,6,4,7,2,3] => 5
[1,5,6,4,7,3,2] => 6
[1,5,6,7,2,3,4] => 2
[1,5,6,7,2,4,3] => 4
[1,5,6,7,3,2,4] => 4
[1,5,6,7,3,4,2] => 6
[1,5,6,7,4,2,3] => 6
[1,5,6,7,4,3,2] => 4
[1,5,7,2,3,4,6] => 6
[1,5,7,2,6,4,3] => 4
[1,5,7,3,2,6,4] => 6
[1,5,7,3,4,6,2] => 5
[1,5,7,3,6,4,2] => 6
[1,5,7,4,2,6,3] => 2
[1,5,7,4,6,2,3] => 6
[1,5,7,6,2,3,4] => 4
[1,5,7,6,2,4,3] => 2
[1,5,7,6,3,2,4] => 6
[1,5,7,6,3,4,2] => 4
[1,5,7,6,4,2,3] => 4
[1,5,7,6,4,3,2] => 6
[1,6,2,3,4,5,7] => 5
[1,6,2,3,4,7,5] => 6
[1,6,2,3,5,7,4] => 5
[1,6,2,3,7,4,5] => 4
[1,6,2,3,7,5,4] => 6
[1,6,2,4,7,5,3] => 5
[1,6,2,7,3,4,5] => 6
[1,6,2,7,5,4,3] => 5
[1,6,3,2,4,7,5] => 5
[1,6,3,2,5,7,4] => 4
[1,6,3,2,7,4,5] => 6
[1,6,3,2,7,5,4] => 5
[1,6,3,4,2,7,5] => 4
[1,6,3,4,5,7,2] => 3
[1,6,3,4,7,2,5] => 2
[1,6,3,5,2,7,4] => 5
[1,6,3,7,2,4,5] => 5
[1,6,3,7,2,5,4] => 6
[1,6,3,7,4,2,5] => 6
[1,6,3,7,4,5,2] => 5
[1,6,3,7,5,2,4] => 2
[1,6,4,2,3,7,5] => 6
[1,6,5,4,3,7,2] => 6
[1,6,5,4,7,3,2] => 5
[1,6,5,7,4,3,2] => 6
[1,6,7,2,3,4,5] => 3
[1,6,7,3,2,4,5] => 6
[1,6,7,3,4,2,5] => 4
[1,6,7,3,4,5,2] => 6
[1,6,7,3,5,2,4] => 6
[1,6,7,4,2,3,5] => 5
[1,6,7,4,3,2,5] => 6
[1,6,7,4,5,2,3] => 2
[1,6,7,4,5,3,2] => 4
[1,6,7,5,2,3,4] => 6
[1,6,7,5,3,2,4] => 4
[1,6,7,5,3,4,2] => 6
[1,6,7,5,4,2,3] => 2
[1,6,7,5,4,3,2] => 4
[1,7,2,3,4,5,6] => 6
[1,7,2,3,4,6,5] => 5
[1,7,2,3,6,5,4] => 4
[1,7,2,4,5,6,3] => 3
[1,7,2,5,6,3,4] => 6
[1,7,3,2,4,5,6] => 5
[1,7,3,2,4,6,5] => 4
[1,7,3,2,5,6,4] => 3
[1,7,3,2,6,4,5] => 5
[1,7,3,4,2,5,6] => 4
[1,7,3,4,2,6,5] => 3
[1,7,3,4,5,2,6] => 3
[1,7,3,4,5,6,2] => 2
[1,7,3,5,2,4,6] => 5
[1,7,3,5,6,4,2] => 6
[1,7,3,6,2,5,4] => 5
[1,7,3,6,5,4,2] => 2
[1,7,4,2,3,5,6] => 6
[1,7,4,2,3,6,5] => 5
[1,7,4,2,6,3,5] => 6
[1,7,4,2,6,5,3] => 4
[1,7,4,3,2,6,5] => 6
[1,7,4,3,6,5,2] => 2
[1,7,4,5,2,3,6] => 6
[1,7,4,5,2,6,3] => 5
[1,7,4,5,3,6,2] => 6
[1,7,4,5,6,2,3] => 6
[1,7,4,5,6,3,2] => 4
[1,7,4,6,2,5,3] => 6
[1,7,4,6,5,3,2] => 6
[1,7,5,2,3,4,6] => 4
[1,7,5,2,4,6,3] => 5
[1,7,5,3,2,4,6] => 6
[1,7,5,3,2,6,4] => 5
[1,7,5,4,3,6,2] => 2
[1,7,5,4,6,3,2] => 6
[1,7,5,6,2,3,4] => 6
[1,7,5,6,3,2,4] => 4
[1,7,5,6,3,4,2] => 2
[1,7,5,6,4,2,3] => 6
[1,7,5,6,4,3,2] => 4
[1,7,6,2,3,4,5] => 6
[1,7,6,2,5,4,3] => 5
[1,7,6,3,2,4,5] => 3
[1,7,6,3,2,5,4] => 6
[1,7,6,3,4,2,5] => 6
[1,7,6,3,4,5,2] => 4
[1,7,6,3,5,4,2] => 6
[1,7,6,4,2,3,5] => 6
[1,7,6,4,5,2,3] => 4
[1,7,6,4,5,3,2] => 2
[1,7,6,5,2,3,4] => 4
[1,7,6,5,2,4,3] => 6
[1,7,6,5,3,2,4] => 6
[1,7,6,5,3,4,2] => 4
[1,7,6,5,4,2,3] => 4
[1,7,6,5,4,3,2] => 2
[2,1,3,4,5,6,7] => 2
[2,1,3,4,5,7,6] => 2
[2,1,3,4,6,7,5] => 6
[2,1,3,4,7,5,6] => 6
[2,1,3,5,4,6,7] => 2
[2,1,3,5,7,6,4] => 6
[2,1,3,6,4,7,5] => 4
[2,1,3,6,7,4,5] => 2
[2,1,3,7,4,5,6] => 4
[2,1,3,7,5,4,6] => 6
[2,1,3,7,6,4,5] => 4
[2,1,3,7,6,5,4] => 2
[2,1,4,3,6,5,7] => 2
[2,1,4,5,6,3,7] => 4
[2,1,4,7,3,5,6] => 10
[2,1,4,7,3,6,5] => 4
[2,1,4,7,5,3,6] => 4
[2,1,4,7,5,6,3] => 6
[2,1,4,7,6,5,3] => 6
[2,1,5,3,4,7,6] => 6
[2,1,5,6,4,3,7] => 4
[2,1,5,6,7,3,4] => 10
[2,1,6,3,4,5,7] => 4
[2,1,6,3,4,7,5] => 10
[2,1,6,3,7,4,5] => 6
[2,1,6,4,5,3,7] => 2
[2,1,6,5,3,4,7] => 4
[2,1,6,5,4,3,7] => 2
[2,1,6,5,7,3,4] => 6
[2,1,6,7,3,4,5] => 10
[2,1,6,7,4,3,5] => 6
[2,1,6,7,5,3,4] => 2
[2,1,7,3,4,5,6] => 10
[2,1,7,3,4,6,5] => 4
[2,1,7,3,5,4,6] => 4
[2,1,7,3,6,4,5] => 10
[2,1,7,3,6,5,4] => 6
[2,1,7,5,3,4,6] => 10
[2,1,7,6,3,5,4] => 10
[2,1,7,6,5,3,4] => 4
[2,1,7,6,5,4,3] => 2
[2,3,1,4,5,6,7] => 3
[2,3,1,4,5,7,6] => 6
[2,3,1,4,7,6,5] => 6
[2,3,1,5,7,4,6] => 12
[2,3,1,6,4,7,5] => 12
[2,3,1,7,4,5,6] => 12
[2,3,1,7,4,6,5] => 3
[2,3,1,7,5,6,4] => 6
[2,3,4,1,5,6,7] => 4
[2,3,4,1,5,7,6] => 4
[2,3,4,1,7,6,5] => 4
[2,3,4,5,1,6,7] => 5
[2,3,4,5,1,7,6] => 10
[2,3,4,5,6,1,7] => 6
[2,3,4,5,6,7,1] => 7
[2,3,4,5,7,1,6] => 7
[2,3,4,5,7,6,1] => 6
[2,3,4,6,1,7,5] => 7
[2,3,4,6,5,7,1] => 6
[2,3,4,6,7,1,5] => 10
[2,3,4,6,7,5,1] => 7
[2,3,4,7,1,5,6] => 7
[2,3,4,7,1,6,5] => 6
[2,3,4,7,5,6,1] => 5
[2,3,4,7,6,1,5] => 7
[2,3,4,7,6,5,1] => 10
[2,3,5,1,6,7,4] => 7
[2,3,5,1,7,4,6] => 7
[2,3,5,1,7,6,4] => 6
[2,3,5,4,6,7,1] => 6
[2,3,5,4,7,6,1] => 5
[2,3,5,6,1,7,4] => 12
[2,3,5,6,4,7,1] => 7
[2,3,5,6,7,1,4] => 7
[2,3,5,6,7,4,1] => 10
[2,3,5,7,1,4,6] => 12
[2,3,5,7,1,6,4] => 4
[2,3,5,7,4,1,6] => 7
[2,3,5,7,6,1,4] => 10
[2,3,5,7,6,4,1] => 7
[2,3,6,1,4,7,5] => 7
[2,3,6,1,7,4,5] => 10
[2,3,6,1,7,5,4] => 7
[2,3,6,4,5,7,1] => 5
[2,3,6,4,7,5,1] => 6
[2,3,6,5,1,7,4] => 7
[2,3,6,5,4,7,1] => 10
[2,3,6,5,7,1,4] => 12
[2,3,6,5,7,4,1] => 7
[2,3,6,7,1,4,5] => 7
[2,3,6,7,4,5,1] => 7
[2,3,6,7,5,1,4] => 4
[2,3,6,7,5,4,1] => 6
[2,3,7,1,4,5,6] => 7
[2,3,7,1,4,6,5] => 6
[2,3,7,1,5,4,6] => 6
[2,3,7,1,5,6,4] => 5
[2,3,7,1,6,4,5] => 7
[2,3,7,4,5,6,1] => 4
[2,3,7,4,6,1,5] => 6
[2,3,7,4,6,5,1] => 4
[2,3,7,5,1,4,6] => 7
[2,3,7,5,4,1,6] => 10
[2,3,7,5,4,6,1] => 4
[2,3,7,5,6,1,4] => 7
[2,3,7,5,6,4,1] => 12
[2,3,7,6,1,4,5] => 10
[2,3,7,6,5,1,4] => 6
[2,3,7,6,5,4,1] => 4
[2,4,1,3,5,6,7] => 4
[2,4,1,3,7,5,6] => 12
[2,4,1,3,7,6,5] => 4
[2,4,1,5,3,7,6] => 10
[2,4,1,5,6,7,3] => 7
[2,4,1,5,7,3,6] => 7
[2,4,1,6,3,7,5] => 7
[2,4,1,6,7,3,5] => 10
[2,4,1,6,7,5,3] => 7
[2,4,1,7,3,5,6] => 7
[2,4,1,7,3,6,5] => 6
[2,4,1,7,6,3,5] => 7
[2,4,3,1,7,6,5] => 6
[2,4,3,5,6,7,1] => 6
[2,4,3,5,7,6,1] => 5
[2,4,3,6,5,7,1] => 5
[2,4,3,6,7,1,5] => 4
[2,4,3,6,7,5,1] => 6
[2,4,3,7,5,6,1] => 4
[2,4,3,7,6,5,1] => 4
[2,4,5,1,6,7,3] => 12
[2,4,5,1,7,3,6] => 12
[2,4,5,1,7,6,3] => 3
[2,4,5,3,6,7,1] => 7
[2,4,5,3,7,1,6] => 7
[2,4,5,3,7,6,1] => 6
[2,4,5,6,1,7,3] => 7
[2,4,5,6,3,7,1] => 10
[2,4,5,6,7,1,3] => 12
[2,4,5,6,7,3,1] => 7
[2,4,5,7,1,3,6] => 7
[2,4,5,7,3,1,6] => 10
[2,4,5,7,6,1,3] => 7
[2,4,5,7,6,3,1] => 12
[2,4,6,1,3,7,5] => 12
[2,4,6,1,5,7,3] => 3
[2,4,6,1,7,3,5] => 6
[2,4,6,3,1,7,5] => 7
[2,4,6,3,7,5,1] => 7
[2,4,6,5,3,7,1] => 7
[2,4,6,5,7,3,1] => 10
[2,4,6,7,1,3,5] => 10
[2,4,6,7,1,5,3] => 7
[2,4,6,7,3,5,1] => 12
[2,4,6,7,5,3,1] => 4
[2,4,7,1,3,5,6] => 12
[2,4,7,1,5,3,6] => 3
[2,4,7,1,5,6,3] => 6
[2,4,7,1,6,3,5] => 12
[2,4,7,3,1,5,6] => 7
[2,4,7,3,6,1,5] => 7
[2,4,7,6,5,1,3] => 4
[2,4,7,6,5,3,1] => 6
[2,5,1,3,4,6,7] => 5
[2,5,1,3,6,7,4] => 7
[2,5,1,3,7,4,6] => 7
[2,5,1,3,7,6,4] => 6
[2,5,1,4,7,6,3] => 5
[2,5,1,6,3,7,4] => 12
[2,5,1,6,4,7,3] => 7
[2,5,1,6,7,3,4] => 7
[2,5,1,6,7,4,3] => 10
[2,5,1,7,3,4,6] => 12
[2,5,1,7,3,6,4] => 4
[2,5,1,7,4,3,6] => 7
[2,5,1,7,6,3,4] => 10
[2,5,1,7,6,4,3] => 7
[2,5,3,1,7,4,6] => 6
[2,5,3,1,7,6,4] => 5
[2,5,3,4,6,7,1] => 5
[2,5,3,4,7,6,1] => 4
[2,5,3,6,4,7,1] => 6
[2,5,3,6,7,1,4] => 6
[2,5,3,6,7,4,1] => 4
[2,5,3,7,6,1,4] => 4
[2,5,4,1,6,7,3] => 7
[2,5,4,1,7,3,6] => 7
[2,5,4,3,6,7,1] => 10
[2,5,4,3,7,1,6] => 10
[2,5,4,3,7,6,1] => 4
[2,5,4,6,3,7,1] => 7
[2,5,4,6,7,1,3] => 7
[2,5,4,6,7,3,1] => 12
[2,5,4,7,1,3,6] => 12
[2,5,4,7,6,1,3] => 12
[2,5,4,7,6,3,1] => 7
[2,5,6,1,3,7,4] => 7
[2,5,6,1,4,7,3] => 12
[2,5,6,1,7,3,4] => 10
[2,5,6,3,4,7,1] => 7
[2,5,6,3,7,4,1] => 12
[2,5,6,4,3,7,1] => 6
[2,5,6,4,7,1,3] => 6
[2,5,6,4,7,3,1] => 4
[2,5,6,7,1,3,4] => 6
[2,5,6,7,3,1,4] => 10
[2,5,6,7,4,3,1] => 10
[2,5,7,1,3,4,6] => 7
[2,5,7,1,4,6,3] => 4
[2,5,7,3,1,4,6] => 12
[2,5,7,3,4,1,6] => 7
[2,5,7,3,6,1,4] => 12
[2,5,7,6,4,1,3] => 10
[2,5,7,6,4,3,1] => 7
[2,6,1,3,4,5,7] => 6
[2,6,1,3,4,7,5] => 7
[2,6,1,3,7,4,5] => 10
[2,6,1,3,7,5,4] => 7
[2,6,1,5,3,7,4] => 7
[2,6,1,5,7,4,3] => 7
[2,6,1,7,3,4,5] => 7
[2,6,1,7,4,5,3] => 7
[2,6,3,1,7,4,5] => 4
[2,6,3,4,5,7,1] => 4
[2,6,3,5,4,7,1] => 4
[2,6,3,5,7,1,4] => 3
[2,6,3,7,1,4,5] => 6
[2,6,3,7,4,1,5] => 3
[2,6,3,7,4,5,1] => 6
[2,6,4,1,3,7,5] => 7
[2,6,4,1,7,3,5] => 10
[2,6,4,3,5,7,1] => 4
[2,6,4,5,1,7,3] => 7
[2,6,4,5,3,7,1] => 12
[2,6,4,5,7,3,1] => 7
[2,6,4,7,3,5,1] => 7
[2,6,4,7,5,3,1] => 6
[2,6,5,1,3,7,4] => 10
[2,6,5,1,7,3,4] => 7
[2,6,5,4,3,1,7] => 6
[2,6,5,4,3,7,1] => 4
[2,6,5,4,7,3,1] => 6
[2,6,5,7,1,3,4] => 10
[2,6,5,7,4,3,1] => 7
[2,6,7,1,3,4,5] => 12
[2,6,7,1,4,5,3] => 10
[2,6,7,1,5,3,4] => 6
[2,6,7,3,4,5,1] => 7
[2,6,7,4,3,1,5] => 3
[2,6,7,4,3,5,1] => 6
[2,6,7,5,4,3,1] => 10
[2,7,1,3,4,5,6] => 7
[2,7,1,3,4,6,5] => 6
[2,7,1,3,6,4,5] => 7
[2,7,1,4,5,3,6] => 5
[2,7,1,5,3,4,6] => 7
[2,7,1,5,4,3,6] => 10
[2,7,1,5,6,3,4] => 7
[2,7,1,6,3,4,5] => 10
[2,7,1,6,5,4,3] => 4
[2,7,3,1,4,6,5] => 5
[2,7,3,4,1,5,6] => 5
[2,7,3,4,1,6,5] => 4
[2,7,3,4,5,6,1] => 3
[2,7,3,4,6,1,5] => 5
[2,7,3,4,6,5,1] => 6
[2,7,3,5,4,6,1] => 6
[2,7,3,5,6,4,1] => 3
[2,7,3,6,1,4,5] => 4
[2,7,3,6,5,1,4] => 5
[2,7,3,6,5,4,1] => 6
[2,7,4,1,3,5,6] => 7
[2,7,4,1,5,3,6] => 6
[2,7,4,1,6,3,5] => 7
[2,7,4,3,5,1,6] => 4
[2,7,4,3,5,6,1] => 6
[2,7,4,3,6,1,5] => 10
[2,7,4,3,6,5,1] => 6
[2,7,4,5,1,3,6] => 7
[2,7,4,5,3,1,6] => 12
[2,7,4,5,3,6,1] => 3
[2,7,4,5,6,1,3] => 7
[2,7,4,5,6,3,1] => 12
[2,7,4,6,1,3,5] => 12
[2,7,4,6,5,1,3] => 6
[2,7,4,6,5,3,1] => 3
[2,7,5,1,3,4,6] => 10
[2,7,5,1,6,3,4] => 12
[2,7,5,3,4,1,6] => 12
[2,7,5,4,3,6,1] => 6
[2,7,5,4,6,3,1] => 3
[2,7,6,1,3,4,5] => 7
[2,7,6,1,4,3,5] => 10
[2,7,6,1,5,4,3] => 6
[2,7,6,3,1,4,5] => 12
[2,7,6,3,5,1,4] => 6
[2,7,6,4,5,3,1] => 6
[2,7,6,5,1,3,4] => 10
[2,7,6,5,1,4,3] => 7
[2,7,6,5,4,1,3] => 10
[2,7,6,5,4,3,1] => 6
[3,1,2,4,5,6,7] => 3
[3,1,2,4,5,7,6] => 6
[3,1,2,4,6,7,5] => 3
[3,1,2,4,7,5,6] => 3
[3,1,2,6,4,5,7] => 3
[3,1,2,6,4,7,5] => 12
[3,1,2,6,7,4,5] => 6
[3,1,2,7,4,5,6] => 12
[3,1,2,7,6,4,5] => 12
[3,1,2,7,6,5,4] => 6
[3,1,4,2,5,7,6] => 4
[3,1,4,2,6,7,5] => 12
[3,1,4,5,2,7,6] => 10
[3,1,4,5,6,7,2] => 7
[3,1,4,5,7,2,6] => 7
[3,1,4,6,2,7,5] => 7
[3,1,4,6,7,2,5] => 10
[3,1,4,6,7,5,2] => 7
[3,1,4,7,2,5,6] => 7
[3,1,4,7,2,6,5] => 6
[3,1,4,7,5,6,2] => 5
[3,1,4,7,6,2,5] => 7
[3,1,5,2,4,6,7] => 5
[3,1,5,2,4,7,6] => 10
[3,1,5,2,6,7,4] => 7
[3,1,5,2,7,4,6] => 7
[3,1,5,4,6,7,2] => 6
[3,1,5,6,2,4,7] => 4
[3,1,5,6,2,7,4] => 12
[3,1,5,6,4,7,2] => 7
[3,1,5,6,7,2,4] => 7
[3,1,5,6,7,4,2] => 10
[3,1,5,7,2,4,6] => 12
[3,1,5,7,4,2,6] => 7
[3,1,5,7,6,2,4] => 10
[3,1,6,2,4,5,7] => 6
[3,1,6,2,4,7,5] => 7
[3,1,6,2,5,7,4] => 6
[3,1,6,2,7,4,5] => 10
[3,1,6,2,7,5,4] => 7
[3,1,6,4,2,7,5] => 6
[3,1,6,4,5,7,2] => 5
[3,1,6,5,2,7,4] => 7
[3,1,6,5,4,7,2] => 10
[3,1,6,7,2,4,5] => 7
[3,1,6,7,2,5,4] => 10
[3,1,6,7,4,5,2] => 7
[3,1,7,2,4,5,6] => 7
[3,1,7,2,4,6,5] => 6
[3,1,7,2,5,6,4] => 5
[3,1,7,2,6,4,5] => 7
[3,1,7,4,2,6,5] => 5
[3,1,7,4,5,6,2] => 4
[3,1,7,5,2,4,6] => 7
[3,1,7,5,2,6,4] => 6
[3,1,7,5,6,2,4] => 7
[3,1,7,6,2,4,5] => 10
[3,1,7,6,2,5,4] => 7
[3,1,7,6,5,4,2] => 4
[3,2,1,4,5,6,7] => 2
[3,2,1,5,4,6,7] => 2
[3,2,4,1,5,6,7] => 3
[3,2,4,5,1,6,7] => 4
[3,2,4,5,6,1,7] => 5
[3,2,4,5,6,7,1] => 6
[3,2,4,5,7,6,1] => 5
[3,2,4,6,1,7,5] => 6
[3,2,4,6,5,7,1] => 5
[3,2,4,6,7,1,5] => 4
[3,2,4,6,7,5,1] => 6
[3,2,4,7,1,5,6] => 6
[3,2,4,7,5,6,1] => 4
[3,2,4,7,6,5,1] => 4
[3,2,5,1,6,7,4] => 6
[3,2,5,4,6,7,1] => 5
[3,2,5,4,7,6,1] => 4
[3,2,5,6,1,7,4] => 3
[3,2,5,6,4,7,1] => 6
[3,2,5,6,7,1,4] => 6
[3,2,5,6,7,4,1] => 4
[3,2,5,7,1,6,4] => 6
[3,2,5,7,6,4,1] => 6
[3,2,6,1,4,5,7] => 5
[3,2,6,1,7,4,5] => 4
[3,2,6,4,5,7,1] => 4
[3,2,6,5,1,4,7] => 5
[3,2,6,5,1,7,4] => 6
[3,2,6,5,4,1,7] => 6
[3,2,6,5,4,7,1] => 4
[3,2,6,5,7,1,4] => 3
[3,2,6,5,7,4,1] => 6
[3,2,6,7,1,5,4] => 4
[3,2,6,7,4,1,5] => 3
[3,2,6,7,5,4,1] => 5
[3,2,7,4,5,6,1] => 3
[3,2,7,4,6,5,1] => 6
[3,2,7,5,4,6,1] => 6
[3,2,7,5,6,1,4] => 6
[3,2,7,5,6,4,1] => 3
[3,2,7,6,5,1,4] => 5
[3,2,7,6,5,4,1] => 6
[3,4,1,2,5,6,7] => 2
[3,4,1,2,5,7,6] => 2
[3,4,1,2,6,7,5] => 6
[3,4,1,2,7,5,6] => 6
[3,4,1,5,2,7,6] => 6
[3,4,1,5,6,7,2] => 10
[3,4,1,5,7,2,6] => 10
[3,4,1,6,2,5,7] => 4
[3,4,1,6,2,7,5] => 10
[3,4,1,6,5,7,2] => 4
[3,4,1,6,7,2,5] => 6
[3,4,1,7,2,5,6] => 10
[3,4,1,7,2,6,5] => 4
[3,4,1,7,5,6,2] => 6
[3,4,1,7,6,2,5] => 10
[3,4,2,1,5,6,7] => 4
[3,4,2,5,1,6,7] => 5
[3,4,2,5,6,1,7] => 6
[3,4,2,5,6,7,1] => 7
[3,4,2,5,7,1,6] => 7
[3,4,2,5,7,6,1] => 6
[3,4,2,6,1,7,5] => 7
[3,4,2,6,5,7,1] => 6
[3,4,2,6,7,5,1] => 7
[3,4,2,7,1,5,6] => 7
[3,4,2,7,6,5,1] => 10
[3,4,5,1,2,6,7] => 5
[3,4,5,1,2,7,6] => 10
[3,4,5,1,6,7,2] => 7
[3,4,5,1,7,2,6] => 7
[3,4,5,1,7,6,2] => 6
[3,4,5,2,1,6,7] => 6
[3,4,5,2,6,1,7] => 4
[3,4,5,2,6,7,1] => 10
[3,4,5,2,7,1,6] => 10
[3,4,5,2,7,6,1] => 4
[3,4,5,6,1,2,7] => 3
[3,4,5,6,1,7,2] => 12
[3,4,5,6,2,1,7] => 6
[3,4,5,6,2,7,1] => 7
[3,4,5,6,7,1,2] => 7
[3,4,5,6,7,2,1] => 12
[3,4,5,7,1,2,6] => 12
[3,4,5,7,1,6,2] => 3
[3,4,5,7,2,1,6] => 7
[3,4,5,7,6,2,1] => 7
[3,4,6,1,2,5,7] => 6
[3,4,6,1,2,7,5] => 7
[3,4,6,1,5,2,7] => 5
[3,4,6,1,7,2,5] => 10
[3,4,6,1,7,5,2] => 7
[3,4,6,2,1,5,7] => 4
[3,4,6,2,1,7,5] => 10
[3,4,6,2,7,1,5] => 6
[3,4,6,2,7,5,1] => 10
[3,4,6,5,2,7,1] => 12
[3,4,6,5,7,1,2] => 12
[3,4,6,5,7,2,1] => 7
[3,4,6,7,1,2,5] => 7
[3,4,6,7,1,5,2] => 12
[3,4,6,7,2,1,5] => 12
[3,4,6,7,2,5,1] => 7
[3,4,6,7,5,1,2] => 3
[3,4,6,7,5,2,1] => 6
[3,4,7,1,2,5,6] => 7
[3,4,7,1,2,6,5] => 6
[3,4,7,1,5,6,2] => 5
[3,4,7,2,1,5,6] => 10
[3,4,7,2,1,6,5] => 4
[3,4,7,2,5,1,6] => 4
[3,4,7,6,1,5,2] => 7
[3,4,7,6,2,1,5] => 7
[3,4,7,6,5,2,1] => 3
[3,5,1,2,4,6,7] => 6
[3,5,1,2,6,7,4] => 10
[3,5,1,2,7,4,6] => 10
[3,5,1,2,7,6,4] => 4
[3,5,1,4,2,6,7] => 2
[3,5,1,4,6,7,2] => 4
[3,5,1,4,7,2,6] => 4
[3,5,1,4,7,6,2] => 6
[3,5,1,6,2,4,7] => 2
[3,5,1,6,2,7,4] => 6
[3,5,1,6,4,7,2] => 10
[3,5,1,6,7,2,4] => 10
[3,5,1,6,7,4,2] => 6
[3,5,1,7,2,4,6] => 6
[3,5,1,7,2,6,4] => 2
[3,5,1,7,4,6,2] => 4
[3,5,2,1,4,6,7] => 5
[3,5,2,1,4,7,6] => 10
[3,5,2,1,6,7,4] => 7
[3,5,2,1,7,4,6] => 7
[3,5,2,6,1,4,7] => 4
[3,5,2,6,1,7,4] => 12
[3,5,2,6,4,7,1] => 7
[3,5,2,6,7,1,4] => 7
[3,5,2,6,7,4,1] => 10
[3,5,2,7,1,6,4] => 4
[3,5,2,7,4,1,6] => 7
[3,5,4,1,7,2,6] => 12
[3,5,4,2,6,7,1] => 7
[3,5,4,2,7,6,1] => 6
[3,5,4,6,1,7,2] => 7
[3,5,4,6,2,7,1] => 10
[3,5,4,6,7,2,1] => 7
[3,5,4,7,1,6,2] => 6
[3,5,4,7,2,1,6] => 10
[3,5,4,7,6,2,1] => 12
[3,5,6,1,2,4,7] => 4
[3,5,6,1,2,7,4] => 10
[3,5,6,1,4,2,7] => 6
[3,5,6,1,7,2,4] => 7
[3,5,6,2,4,7,1] => 12
[3,5,6,2,7,1,4] => 12
[3,5,6,2,7,4,1] => 7
[3,5,6,4,1,2,7] => 5
[3,5,6,4,2,1,7] => 6
[3,5,6,4,2,7,1] => 4
[3,5,6,4,7,1,2] => 3
[3,5,6,4,7,2,1] => 6
[3,5,6,7,1,2,4] => 10
[3,5,6,7,2,1,4] => 6
[3,5,6,7,4,1,2] => 12
[3,5,6,7,4,2,1] => 7
[3,5,7,1,2,4,6] => 10
[3,5,7,1,4,6,2] => 6
[3,5,7,2,1,4,6] => 7
[3,5,7,2,4,1,6] => 12
[3,5,7,2,6,1,4] => 7
[3,5,7,4,1,6,2] => 5
[3,5,7,4,2,1,6] => 4
[3,5,7,6,1,4,2] => 10
[3,5,7,6,2,1,4] => 10
[3,5,7,6,4,2,1] => 12
[3,6,1,2,4,5,7] => 4
[3,6,1,2,4,7,5] => 10
[3,6,1,2,7,4,5] => 6
[3,6,1,4,5,2,7] => 2
[3,6,1,4,5,7,2] => 6
[3,6,1,4,7,2,5] => 2
[3,6,1,4,7,5,2] => 4
[3,6,1,5,7,4,2] => 10
[3,6,1,7,2,4,5] => 10
[3,6,1,7,2,5,4] => 6
[3,6,1,7,5,4,2] => 4
[3,6,2,1,4,7,5] => 7
[3,6,2,1,5,4,7] => 5
[3,6,2,1,7,5,4] => 7
[3,6,2,4,1,5,7] => 5
[3,6,2,4,1,7,5] => 6
[3,6,2,4,7,1,5] => 4
[3,6,2,7,1,5,4] => 10
[3,6,2,7,4,5,1] => 7
[3,6,2,7,5,1,4] => 4
[3,6,4,7,1,5,2] => 7
[3,6,4,7,2,5,1] => 12
[3,6,5,2,1,7,4] => 12
[3,6,5,2,7,1,4] => 7
[3,6,5,4,2,1,7] => 5
[3,6,5,4,2,7,1] => 6
[3,6,5,4,7,2,1] => 4
[3,6,5,7,4,2,1] => 10
[3,6,7,1,2,4,5] => 7
[3,6,7,1,4,2,5] => 10
[3,6,7,1,5,4,2] => 6
[3,6,7,2,1,5,4] => 7
[3,6,7,2,4,5,1] => 12
[3,6,7,2,5,4,1] => 3
[3,6,7,4,1,5,2] => 6
[3,6,7,4,5,1,2] => 5
[3,6,7,5,4,2,1] => 6
[3,7,1,2,4,5,6] => 10
[3,7,1,2,6,4,5] => 10
[3,7,1,4,2,5,6] => 4
[3,7,1,4,5,6,2] => 2
[3,7,1,5,2,6,4] => 4
[3,7,1,5,4,6,2] => 2
[3,7,2,1,4,5,6] => 7
[3,7,2,1,5,6,4] => 5
[3,7,2,4,1,6,5] => 5
[3,7,2,4,5,1,6] => 5
[3,7,2,5,1,4,6] => 7
[3,7,2,5,4,1,6] => 10
[3,7,2,6,4,1,5] => 7
[3,7,4,1,2,6,5] => 3
[3,7,4,6,1,5,2] => 10
[3,7,4,6,2,1,5] => 12
[3,7,5,1,4,2,6] => 12
[3,7,5,1,6,2,4] => 7
[3,7,5,2,4,1,6] => 7
[3,7,5,6,2,1,4] => 7
[3,7,6,1,4,5,2] => 10
[3,7,6,2,1,4,5] => 7
[3,7,6,2,4,1,5] => 12
[3,7,6,5,1,4,2] => 10
[3,7,6,5,2,1,4] => 12
[3,7,6,5,4,2,1] => 10
[4,1,2,3,5,6,7] => 4
[4,1,2,3,5,7,6] => 4
[4,1,2,3,7,5,6] => 12
[4,1,2,5,3,7,6] => 10
[4,1,2,5,6,7,3] => 7
[4,1,2,5,7,3,6] => 7
[4,1,2,5,7,6,3] => 6
[4,1,2,6,3,5,7] => 6
[4,1,2,6,3,7,5] => 7
[4,1,2,6,5,7,3] => 6
[4,1,2,6,7,3,5] => 10
[4,1,2,6,7,5,3] => 7
[4,1,2,7,3,5,6] => 7
[4,1,2,7,3,6,5] => 6
[4,1,2,7,6,3,5] => 7
[4,1,3,2,5,6,7] => 3
[4,1,3,2,7,6,5] => 6
[4,1,3,6,2,7,5] => 6
[4,1,3,7,2,6,5] => 5
[4,1,5,2,3,6,7] => 6
[4,1,5,2,3,7,6] => 6
[4,1,5,2,6,7,3] => 12
[4,1,5,2,7,3,6] => 12
[4,1,5,2,7,6,3] => 3
[4,1,5,3,2,7,6] => 10
[4,1,5,3,6,7,2] => 7
[4,1,5,3,7,2,6] => 7
[4,1,5,6,2,3,7] => 6
[4,1,5,6,2,7,3] => 7
[4,1,5,6,3,7,2] => 10
[4,1,5,6,7,2,3] => 12
[4,1,5,6,7,3,2] => 7
[4,1,5,7,2,3,6] => 7
[4,1,5,7,2,6,3] => 6
[4,1,5,7,3,2,6] => 10
[4,1,5,7,3,6,2] => 4
[4,1,6,2,3,5,7] => 3
[4,1,6,2,3,7,5] => 12
[4,1,6,2,5,7,3] => 3
[4,1,6,2,7,3,5] => 6
[4,1,6,2,7,5,3] => 12
[4,1,6,3,2,7,5] => 7
[4,1,6,3,7,5,2] => 7
[4,1,6,5,7,3,2] => 10
[4,1,6,7,2,3,5] => 10
[4,1,6,7,3,5,2] => 12
[4,1,6,7,5,3,2] => 4
[4,1,7,2,3,5,6] => 12
[4,1,7,2,3,6,5] => 3
[4,1,7,3,2,5,6] => 7
[4,1,7,3,5,6,2] => 5
[4,1,7,6,5,3,2] => 6
[4,2,1,3,5,6,7] => 3
[4,2,1,3,6,7,5] => 3
[4,2,1,3,7,5,6] => 3
[4,2,1,5,3,7,6] => 4
[4,2,1,5,6,3,7] => 5
[4,2,1,5,6,7,3] => 6
[4,2,1,5,7,3,6] => 6
[4,2,1,6,7,3,5] => 4
[4,2,1,7,3,6,5] => 5
[4,2,1,7,5,6,3] => 4
[4,2,3,1,5,6,7] => 2
[4,2,3,5,1,6,7] => 3
[4,2,3,5,6,1,7] => 4
[4,2,3,5,6,7,1] => 5
[4,2,3,5,7,1,6] => 5
[4,2,3,5,7,6,1] => 4
[4,2,3,6,1,7,5] => 5
[4,2,3,6,5,7,1] => 4
[4,2,3,6,7,1,5] => 6
[4,2,3,7,5,6,1] => 3
[4,2,3,7,6,1,5] => 5
[4,2,3,7,6,5,1] => 6
[4,2,5,1,3,6,7] => 2
[4,2,5,1,3,7,6] => 2
[4,2,5,1,6,7,3] => 4
[4,2,5,1,7,3,6] => 4
[4,2,5,1,7,6,3] => 6
[4,2,5,3,6,7,1] => 6
[4,2,5,6,1,3,7] => 5
[4,2,5,6,1,7,3] => 6
[4,2,5,6,3,7,1] => 4
[4,2,5,6,7,1,3] => 3
[4,2,5,7,1,6,3] => 5
[4,2,5,7,3,1,6] => 4
[4,2,6,1,5,3,7] => 2
[4,2,6,1,5,7,3] => 6
[4,2,6,1,7,3,5] => 2
[4,2,6,1,7,5,3] => 4
[4,2,6,3,1,5,7] => 5
[4,2,6,3,1,7,5] => 6
[4,2,6,3,7,1,5] => 4
[4,2,6,5,1,3,7] => 6
[4,2,6,5,7,1,3] => 6
[4,2,6,7,1,5,3] => 6
[4,2,6,7,5,1,3] => 5
[4,2,7,1,3,5,6] => 4
[4,2,7,1,5,6,3] => 2
[4,2,7,3,1,5,6] => 6
[4,2,7,3,1,6,5] => 5
[4,2,7,3,5,1,6] => 5
[4,2,7,5,3,1,6] => 6
[4,2,7,5,6,3,1] => 6
[4,2,7,6,3,1,5] => 3
[4,2,7,6,5,3,1] => 5
[4,3,1,2,5,6,7] => 4
[4,3,1,2,7,5,6] => 12
[4,3,1,5,6,7,2] => 7
[4,3,1,5,7,2,6] => 7
[4,3,1,6,2,7,5] => 7
[4,3,1,6,7,2,5] => 10
[4,3,1,7,2,5,6] => 7
[4,3,1,7,6,2,5] => 7
[4,3,1,7,6,5,2] => 10
[4,3,2,1,5,6,7] => 2
[4,3,2,1,5,7,6] => 2
[4,3,2,5,1,6,7] => 6
[4,3,2,5,1,7,6] => 6
[4,3,2,5,6,1,7] => 4
[4,3,2,5,6,7,1] => 10
[4,3,2,5,7,6,1] => 4
[4,3,2,6,5,7,1] => 4
[4,3,2,6,7,5,1] => 10
[4,3,2,7,5,6,1] => 6
[4,3,2,7,6,5,1] => 6
[4,3,5,1,2,6,7] => 6
[4,3,5,1,2,7,6] => 6
[4,3,5,1,6,7,2] => 10
[4,3,5,2,1,6,7] => 5
[4,3,5,2,6,1,7] => 6
[4,3,5,2,6,7,1] => 7
[4,3,5,2,7,6,1] => 6
[4,3,5,6,1,2,7] => 6
[4,3,5,6,2,1,7] => 3
[4,3,5,6,2,7,1] => 12
[4,3,5,6,7,2,1] => 7
[4,3,5,7,6,1,2] => 7
[4,3,5,7,6,2,1] => 12
[4,3,6,1,5,7,2] => 4
[4,3,6,2,1,7,5] => 7
[4,3,6,2,5,1,7] => 5
[4,3,6,2,7,1,5] => 10
[4,3,6,5,1,7,2] => 12
[4,3,6,5,2,1,7] => 6
[4,3,6,5,2,7,1] => 7
[4,3,6,5,7,2,1] => 12
[4,3,6,7,1,5,2] => 7
[4,3,6,7,5,2,1] => 3
[4,3,7,5,6,2,1] => 7
[4,3,7,6,1,2,5] => 7
[4,3,7,6,5,2,1] => 6
[4,5,1,2,3,6,7] => 5
[4,5,1,2,3,7,6] => 10
[4,5,1,2,6,7,3] => 7
[4,5,1,2,7,3,6] => 7
[4,5,1,2,7,6,3] => 6
[4,5,1,3,2,6,7] => 6
[4,5,1,3,6,7,2] => 12
[4,5,1,3,7,2,6] => 12
[4,5,1,3,7,6,2] => 3
[4,5,1,6,2,3,7] => 4
[4,5,1,6,2,7,3] => 10
[4,5,1,6,7,2,3] => 7
[4,5,1,7,2,3,6] => 10
[4,5,2,1,3,6,7] => 6
[4,5,2,1,6,7,3] => 10
[4,5,2,3,1,6,7] => 5
[4,5,2,3,6,1,7] => 6
[4,5,2,3,6,7,1] => 7
[4,5,2,3,7,1,6] => 7
[4,5,2,6,3,7,1] => 12
[4,5,2,6,7,1,3] => 12
[4,5,2,6,7,3,1] => 7
[4,5,2,7,1,3,6] => 7
[4,5,2,7,1,6,3] => 6
[4,5,2,7,3,1,6] => 12
[4,5,2,7,6,1,3] => 7
[4,5,3,1,2,6,7] => 2
[4,5,3,2,1,6,7] => 4
[4,5,3,2,6,1,7] => 5
[4,5,3,2,6,7,1] => 6
[4,5,3,2,7,6,1] => 5
[4,5,3,6,1,2,7] => 5
[4,5,3,6,2,1,7] => 6
[4,5,3,6,2,7,1] => 4
[4,5,3,6,7,1,2] => 3
[4,5,3,6,7,2,1] => 6
[4,5,3,7,1,6,2] => 5
[4,5,3,7,2,1,6] => 4
[4,5,3,7,6,2,1] => 3
[4,5,6,1,2,3,7] => 2
[4,5,6,1,2,7,3] => 6
[4,5,6,1,3,7,2] => 10
[4,5,6,1,7,2,3] => 10
[4,5,6,1,7,3,2] => 6
[4,5,6,2,1,3,7] => 4
[4,5,6,2,1,7,3] => 12
[4,5,6,2,3,1,7] => 6
[4,5,6,2,3,7,1] => 7
[4,5,6,3,1,2,7] => 6
[4,5,6,3,1,7,2] => 7
[4,5,6,3,2,1,7] => 4
[4,5,6,3,2,7,1] => 10
[4,5,6,3,7,1,2] => 12
[4,5,6,3,7,2,1] => 7
[4,5,6,7,1,2,3] => 7
[4,5,6,7,1,3,2] => 10
[4,5,6,7,2,1,3] => 10
[4,5,6,7,3,1,2] => 7
[4,5,6,7,3,2,1] => 12
[4,5,7,1,2,3,6] => 6
[4,5,7,1,2,6,3] => 2
[4,5,7,1,6,3,2] => 10
[4,5,7,2,1,6,3] => 4
[4,5,7,2,6,1,3] => 10
[4,5,7,3,1,6,2] => 6
[4,5,7,3,2,1,6] => 10
[4,5,7,3,6,2,1] => 12
[4,5,7,6,2,1,3] => 6
[4,5,7,6,3,2,1] => 7
[4,6,1,2,3,5,7] => 6
[4,6,1,2,3,7,5] => 7
[4,6,1,2,7,3,5] => 10
[4,6,1,3,5,2,7] => 6
[4,6,1,3,5,7,2] => 3
[4,6,1,3,7,2,5] => 6
[4,6,1,5,7,2,3] => 10
[4,6,1,7,2,3,5] => 7
[4,6,2,1,7,5,3] => 10
[4,6,2,3,1,7,5] => 7
[4,6,2,3,7,1,5] => 10
[4,6,2,3,7,5,1] => 7
[4,6,2,7,1,3,5] => 12
[4,6,2,7,1,5,3] => 7
[4,6,2,7,3,5,1] => 12
[4,6,2,7,5,1,3] => 6
[4,6,2,7,5,3,1] => 3
[4,6,3,1,5,2,7] => 2
[4,6,3,1,7,5,2] => 4
[4,6,3,2,1,5,7] => 5
[4,6,3,2,7,1,5] => 4
[4,6,3,7,1,5,2] => 6
[4,6,3,7,2,5,1] => 3
[4,6,3,7,5,1,2] => 5
[4,6,3,7,5,2,1] => 6
[4,6,5,2,7,1,3] => 12
[4,6,5,2,7,3,1] => 7
[4,6,5,3,2,1,7] => 6
[4,6,5,3,2,7,1] => 7
[4,6,5,3,7,2,1] => 10
[4,6,5,7,1,2,3] => 10
[4,6,5,7,3,2,1] => 6
[4,6,7,1,2,3,5] => 10
[4,6,7,1,5,2,3] => 2
[4,6,7,3,1,5,2] => 7
[4,6,7,3,2,5,1] => 12
[4,6,7,3,5,1,2] => 6
[4,6,7,3,5,2,1] => 4
[4,6,7,5,2,1,3] => 10
[4,6,7,5,3,2,1] => 10
[4,7,1,2,3,5,6] => 7
[4,7,1,2,5,6,3] => 5
[4,7,1,2,6,3,5] => 7
[4,7,1,3,5,6,2] => 6
[4,7,1,5,6,3,2] => 10
[4,7,2,1,3,5,6] => 10
[4,7,2,1,5,3,6] => 4
[4,7,2,1,5,6,3] => 6
[4,7,2,1,6,3,5] => 10
[4,7,2,3,1,5,6] => 7
[4,7,2,5,1,3,6] => 12
[4,7,2,5,6,1,3] => 12
[4,7,2,6,1,3,5] => 7
[4,7,3,1,5,6,2] => 2
[4,7,3,1,6,2,5] => 4
[4,7,3,2,1,6,5] => 5
[4,7,3,2,5,1,6] => 5
[4,7,3,5,1,6,2] => 6
[4,7,3,5,2,1,6] => 6
[4,7,3,6,2,1,5] => 3
[4,7,5,6,3,2,1] => 10
[4,7,6,1,2,5,3] => 10
[4,7,6,1,5,3,2] => 2
[4,7,6,2,1,3,5] => 10
[4,7,6,2,5,1,3] => 6
[4,7,6,3,1,5,2] => 10
[4,7,6,3,2,1,5] => 12
[4,7,6,5,3,2,1] => 7
[5,1,2,3,4,6,7] => 5
[5,1,2,3,4,7,6] => 10
[5,1,2,3,6,4,7] => 6
[5,1,2,3,6,7,4] => 7
[5,1,2,3,7,4,6] => 7
[5,1,2,6,3,4,7] => 4
[5,1,2,6,3,7,4] => 12
[5,1,2,6,4,7,3] => 7
[5,1,2,6,7,3,4] => 7
[5,1,2,6,7,4,3] => 10
[5,1,2,7,3,4,6] => 12
[5,1,2,7,3,6,4] => 4
[5,1,2,7,4,3,6] => 7
[5,1,3,4,2,6,7] => 3
[5,1,3,4,7,6,2] => 4
[5,1,3,6,4,7,2] => 6
[5,1,3,6,7,4,2] => 4
[5,1,3,7,2,4,6] => 3
[5,1,3,7,2,6,4] => 6
[5,1,3,7,4,6,2] => 5
[5,1,4,2,6,7,3] => 7
[5,1,4,2,7,3,6] => 7
[5,1,4,2,7,6,3] => 6
[5,1,4,6,2,7,3] => 12
[5,1,6,2,3,4,7] => 6
[5,1,6,2,3,7,4] => 7
[5,1,6,2,7,3,4] => 10
[5,1,6,3,2,7,4] => 12
[5,1,6,3,4,7,2] => 7
[5,1,6,3,7,4,2] => 12
[5,1,6,4,7,3,2] => 4
[5,1,6,7,2,3,4] => 6
[5,1,6,7,4,3,2] => 10
[5,1,7,2,3,4,6] => 7
[5,1,7,3,4,2,6] => 7
[5,1,7,4,2,6,3] => 6
[5,1,7,4,3,6,2] => 5
[5,1,7,6,4,3,2] => 7
[5,2,1,3,4,6,7] => 4
[5,2,1,3,7,4,6] => 6
[5,2,1,4,3,6,7] => 3
[5,2,1,6,3,7,4] => 3
[5,2,1,6,4,3,7] => 5
[5,2,1,6,7,3,4] => 6
[5,2,1,6,7,4,3] => 4
[5,2,1,7,4,6,3] => 5
[5,2,3,1,4,6,7] => 3
[5,2,3,1,4,7,6] => 6
[5,2,3,1,6,7,4] => 5
[5,2,3,1,7,4,6] => 5
[5,2,3,4,1,6,7] => 2
[5,2,3,4,6,1,7] => 3
[5,2,3,4,6,7,1] => 4
[5,2,3,4,7,1,6] => 4
[5,2,3,4,7,6,1] => 3
[5,2,3,6,1,4,7] => 2
[5,2,3,6,1,7,4] => 6
[5,2,3,6,7,1,4] => 5
[5,2,3,7,1,4,6] => 6
[5,2,3,7,1,6,4] => 2
[5,2,3,7,4,1,6] => 5
[5,2,3,7,6,4,1] => 5
[5,2,4,3,6,7,1] => 4
[5,2,4,3,7,6,1] => 6
[5,2,4,6,3,7,1] => 6
[5,2,4,7,3,1,6] => 6
[5,2,4,7,6,3,1] => 6
[5,2,6,1,4,3,7] => 6
[5,2,6,1,4,7,3] => 3
[5,2,6,3,4,7,1] => 6
[5,2,6,3,7,1,4] => 6
[5,2,6,4,1,3,7] => 2
[5,2,6,4,7,1,3] => 5
[5,2,6,7,1,3,4] => 2
[5,2,6,7,3,1,4] => 4
[5,2,6,7,3,4,1] => 6
[5,2,6,7,4,1,3] => 6
[5,2,7,1,4,6,3] => 6
[5,2,7,3,1,4,6] => 4
[5,2,7,3,1,6,4] => 6
[5,2,7,3,4,1,6] => 6
[5,2,7,4,1,6,3] => 2
[5,2,7,4,3,1,6] => 5
[5,2,7,6,3,4,1] => 4
[5,3,1,2,4,6,7] => 5
[5,3,1,2,6,7,4] => 7
[5,3,1,2,7,4,6] => 7
[5,3,1,4,7,6,2] => 5
[5,3,1,6,4,7,2] => 7
[5,3,1,6,7,4,2] => 10
[5,3,1,7,2,4,6] => 12
[5,3,1,7,2,6,4] => 4
[5,3,1,7,4,2,6] => 7
[5,3,1,7,6,4,2] => 7
[5,3,2,1,4,6,7] => 6
[5,3,2,1,4,7,6] => 6
[5,3,2,4,1,6,7] => 2
[5,3,2,4,6,1,7] => 6
[5,3,2,4,6,7,1] => 4
[5,3,2,4,7,6,1] => 6
[5,3,2,6,1,4,7] => 2
[5,3,2,6,4,1,7] => 4
[5,3,4,1,2,6,7] => 5
[5,3,4,1,6,7,2] => 7
[5,3,4,1,7,2,6] => 7
[5,3,4,2,1,6,7] => 6
[5,3,4,2,6,1,7] => 3
[5,3,4,2,6,7,1] => 12
[5,3,4,2,7,6,1] => 3
[5,3,4,6,1,2,7] => 4
[5,3,4,6,2,1,7] => 6
[5,3,4,6,2,7,1] => 7
[5,3,4,7,2,6,1] => 6
[5,3,6,1,2,7,4] => 7
[5,3,6,1,4,7,2] => 12
[5,3,6,1,7,4,2] => 7
[5,3,6,2,1,4,7] => 4
[5,3,6,2,4,1,7] => 6
[5,3,6,2,4,7,1] => 7
[5,3,6,2,7,1,4] => 7
[5,3,6,7,1,4,2] => 10
[5,3,6,7,2,1,4] => 10
[5,3,6,7,2,4,1] => 7
[5,3,6,7,4,2,1] => 12
[5,3,7,1,6,2,4] => 7
[5,3,7,1,6,4,2] => 12
[5,3,7,2,1,4,6] => 10
[5,3,7,4,1,2,6] => 4
[5,3,7,4,2,1,6] => 6
[5,3,7,6,4,1,2] => 12
[5,3,7,6,4,2,1] => 7
[5,4,1,2,3,6,7] => 6
[5,4,1,2,6,7,3] => 10
[5,4,1,2,7,3,6] => 10
[5,4,1,6,2,7,3] => 7
[5,4,1,6,7,3,2] => 7
[5,4,1,7,6,2,3] => 7
[5,4,1,7,6,3,2] => 12
[5,4,2,1,3,6,7] => 5
[5,4,2,1,3,7,6] => 10
[5,4,2,1,6,7,3] => 7
[5,4,2,1,7,3,6] => 7
[5,4,2,3,1,6,7] => 6
[5,4,2,3,6,1,7] => 3
[5,4,2,6,1,3,7] => 4
[5,4,2,6,1,7,3] => 10
[5,4,2,6,7,1,3] => 7
[5,4,2,7,3,1,6] => 7
[5,4,3,1,2,6,7] => 4
[5,4,3,1,7,6,2] => 5
[5,4,3,2,1,6,7] => 2
[5,4,3,2,1,7,6] => 2
[5,4,3,2,6,1,7] => 6
[5,4,3,2,6,7,1] => 4
[5,4,3,2,7,1,6] => 4
[5,4,3,2,7,6,1] => 6
[5,4,3,6,1,2,7] => 6
[5,4,3,6,1,7,2] => 4
[5,4,3,6,2,1,7] => 5
[5,4,3,6,2,7,1] => 6
[5,4,3,6,7,2,1] => 3
[5,4,3,7,6,2,1] => 6
[5,4,6,1,2,3,7] => 4
[5,4,6,1,7,3,2] => 10
[5,4,6,2,1,3,7] => 2
[5,4,6,2,3,1,7] => 4
[5,4,6,2,7,1,3] => 10
[5,4,6,3,1,2,7] => 4
[5,4,6,3,1,7,2] => 10
[5,4,6,3,2,1,7] => 6
[5,4,6,3,2,7,1] => 7
[5,4,6,3,7,2,1] => 12
[5,4,6,7,3,2,1] => 7
[5,4,7,2,1,3,6] => 6
[5,4,7,3,6,1,2] => 12
[5,4,7,3,6,2,1] => 7
[5,4,7,6,3,2,1] => 12
[5,6,1,2,3,4,7] => 3
[5,6,1,2,3,7,4] => 12
[5,6,1,2,4,7,3] => 7
[5,6,1,2,7,3,4] => 7
[5,6,1,3,4,7,2] => 12
[5,6,1,4,3,2,7] => 6
[5,6,1,7,2,3,4] => 10
[5,6,2,1,3,4,7] => 6
[5,6,2,1,7,4,3] => 7
[5,6,2,3,1,4,7] => 4
[5,6,2,3,4,1,7] => 6
[5,6,2,3,4,7,1] => 7
[5,6,2,3,7,4,1] => 12
[5,6,2,4,7,1,3] => 6
[5,6,2,7,3,1,4] => 10
[5,6,2,7,3,4,1] => 7
[5,6,2,7,4,1,3] => 7
[5,6,2,7,4,3,1] => 12
[5,6,3,1,2,4,7] => 5
[5,6,3,1,4,2,7] => 6
[5,6,3,2,1,4,7] => 6
[5,6,3,2,4,1,7] => 5
[5,6,3,2,4,7,1] => 6
[5,6,3,2,7,1,4] => 6
[5,6,3,2,7,4,1] => 3
[5,6,3,4,1,2,7] => 2
[5,6,3,4,2,1,7] => 4
[5,6,3,4,7,1,2] => 5
[5,6,3,7,1,2,4] => 2
[5,6,3,7,2,1,4] => 4
[5,6,3,7,4,1,2] => 6
[5,6,3,7,4,2,1] => 4
[5,6,4,1,2,3,7] => 6
[5,6,4,1,3,7,2] => 12
[5,6,4,2,1,3,7] => 4
[5,6,4,2,3,1,7] => 6
[5,6,4,3,1,2,7] => 2
[5,6,4,3,2,1,7] => 4
[5,6,4,3,2,7,1] => 10
[5,6,4,3,7,2,1] => 6
[5,6,4,7,2,3,1] => 7
[5,6,4,7,3,2,1] => 10
[5,6,7,1,2,3,4] => 7
[5,6,7,1,2,4,3] => 10
[5,6,7,1,3,2,4] => 10
[5,6,7,1,3,4,2] => 7
[5,6,7,1,4,2,3] => 6
[5,6,7,2,3,4,1] => 12
[5,6,7,3,1,2,4] => 6
[5,6,7,3,1,4,2] => 10
[5,6,7,3,4,2,1] => 10
[5,6,7,4,1,2,3] => 2
[5,6,7,4,1,3,2] => 4
[5,6,7,4,2,3,1] => 6
[5,6,7,4,3,1,2] => 6
[5,6,7,4,3,2,1] => 4
[5,7,1,2,3,4,6] => 12
[5,7,1,2,3,6,4] => 3
[5,7,1,2,6,3,4] => 12
[5,7,1,2,6,4,3] => 7
[5,7,1,3,2,4,6] => 7
[5,7,1,3,2,6,4] => 6
[5,7,1,3,6,4,2] => 10
[5,7,1,4,3,6,2] => 6
[5,7,1,6,2,4,3] => 10
[5,7,1,6,4,3,2] => 10
[5,7,2,1,4,3,6] => 12
[5,7,2,1,6,3,4] => 7
[5,7,2,3,1,4,6] => 10
[5,7,2,3,4,1,6] => 7
[5,7,2,3,6,1,4] => 12
[5,7,2,4,1,6,3] => 6
[5,7,2,6,1,3,4] => 10
[5,7,2,6,4,1,3] => 12
[5,7,2,6,4,3,1] => 7
[5,7,3,1,4,6,2] => 6
[5,7,3,2,1,4,6] => 4
[5,7,3,2,1,6,4] => 6
[5,7,3,2,4,1,6] => 6
[5,7,3,2,6,1,4] => 3
[5,7,3,4,1,6,2] => 2
[5,7,3,4,2,1,6] => 5
[5,7,3,6,1,4,2] => 2
[5,7,3,6,2,1,4] => 6
[5,7,3,6,4,2,1] => 6
[5,7,4,1,2,6,3] => 6
[5,7,4,1,3,6,2] => 4
[5,7,4,1,6,3,2] => 10
[5,7,4,2,1,3,6] => 10
[5,7,4,2,6,1,3] => 12
[5,7,4,3,1,6,2] => 2
[5,7,4,3,2,1,6] => 10
[5,7,4,3,6,2,1] => 10
[5,7,4,6,3,1,2] => 10
[5,7,6,2,3,1,4] => 12
[5,7,6,4,3,2,1] => 6
[6,1,2,3,4,5,7] => 6
[6,1,2,3,4,7,5] => 7
[6,1,2,3,7,4,5] => 10
[6,1,2,3,7,5,4] => 7
[6,1,2,4,7,5,3] => 6
[6,1,2,5,3,7,4] => 7
[6,1,2,7,3,4,5] => 7
[6,1,2,7,3,5,4] => 10
[6,1,2,7,4,3,5] => 12
[6,1,2,7,4,5,3] => 7
[6,1,2,7,5,4,3] => 6
[6,1,3,4,2,7,5] => 5
[6,1,3,4,5,2,7] => 3
[6,1,3,4,5,7,2] => 4
[6,1,3,4,7,2,5] => 6
[6,1,3,4,7,5,2] => 5
[6,1,3,5,7,2,4] => 3
[6,1,3,7,2,4,5] => 6
[6,1,3,7,2,5,4] => 4
[6,1,3,7,4,2,5] => 3
[6,1,3,7,5,4,2] => 5
[6,1,4,2,3,7,5] => 7
[6,1,4,2,5,7,3] => 6
[6,1,4,2,7,5,3] => 7
[6,1,4,3,2,7,5] => 10
[6,1,4,3,7,5,2] => 10
[6,1,4,5,2,7,3] => 7
[6,1,4,7,2,5,3] => 12
[6,1,4,7,5,2,3] => 3
[6,1,4,7,5,3,2] => 6
[6,1,5,2,3,7,4] => 10
[6,1,5,2,7,3,4] => 7
[6,1,5,4,7,2,3] => 3
[6,1,7,2,3,4,5] => 12
[6,1,7,2,3,5,4] => 7
[6,1,7,2,4,3,5] => 7
[6,1,7,2,5,4,3] => 4
[6,1,7,3,2,5,4] => 12
[6,1,7,3,4,5,2] => 7
[6,1,7,3,5,4,2] => 6
[6,1,7,4,5,3,2] => 5
[6,1,7,5,2,3,4] => 7
[6,1,7,5,2,4,3] => 10
[6,1,7,5,4,3,2] => 10
[6,2,1,3,4,5,7] => 5
[6,2,1,3,7,4,5] => 4
[6,2,1,4,5,3,7] => 3
[6,2,1,4,7,3,5] => 6
[6,2,1,4,7,5,3] => 5
[6,2,1,5,4,3,7] => 6
[6,2,1,5,7,3,4] => 3
[6,2,1,7,5,4,3] => 5
[6,2,3,1,4,5,7] => 4
[6,2,3,1,5,4,7] => 3
[6,2,3,1,7,4,5] => 6
[6,2,3,1,7,5,4] => 5
[6,2,3,4,1,5,7] => 3
[6,2,3,4,1,7,5] => 4
[6,2,3,4,5,1,7] => 2
[6,2,3,4,5,7,1] => 3
[6,2,3,4,7,1,5] => 2
[6,2,3,4,7,5,1] => 4
[6,2,3,5,4,7,1] => 6
[6,2,3,5,7,4,1] => 5
[6,2,3,7,1,5,4] => 6
[6,2,3,7,4,1,5] => 6
[6,2,3,7,4,5,1] => 5
[6,2,3,7,5,1,4] => 2
[6,2,4,3,5,7,1] => 6
[6,2,4,3,7,1,5] => 2
[6,2,4,5,3,1,7] => 6
[6,2,4,5,3,7,1] => 3
[6,2,4,5,7,1,3] => 4
[6,2,4,5,7,3,1] => 6
[6,2,4,7,1,3,5] => 6
[6,2,4,7,5,1,3] => 6
[6,2,5,1,7,3,4] => 6
[6,2,5,3,1,7,4] => 6
[6,2,5,3,7,1,4] => 4
[6,2,5,4,3,1,7] => 2
[6,2,5,4,3,7,1] => 6
[6,2,5,7,3,4,1] => 4
[6,2,7,1,4,3,5] => 6
[6,2,7,1,5,4,3] => 6
[6,2,7,3,1,4,5] => 6
[6,2,7,3,4,5,1] => 6
[6,2,7,3,5,1,4] => 6
[6,2,7,4,1,5,3] => 6
[6,2,7,4,3,1,5] => 6
[6,2,7,4,5,1,3] => 2
[6,2,7,5,1,3,4] => 6
[6,2,7,5,1,4,3] => 4
[6,2,7,5,4,1,3] => 2
[6,3,1,2,4,5,7] => 6
[6,3,1,2,4,7,5] => 7
[6,3,1,2,7,4,5] => 10
[6,3,1,5,2,7,4] => 7
[6,3,1,5,4,7,2] => 10
[6,3,1,5,7,2,4] => 12
[6,3,1,5,7,4,2] => 7
[6,3,1,7,2,4,5] => 7
[6,3,1,7,4,5,2] => 7
[6,3,1,7,5,4,2] => 6
[6,3,2,1,4,5,7] => 4
[6,3,2,4,1,5,7] => 6
[6,3,2,4,5,1,7] => 2
[6,3,2,4,5,7,1] => 6
[6,3,2,5,1,4,7] => 4
[6,3,2,5,4,1,7] => 2
[6,3,2,5,4,7,1] => 6
[6,3,4,1,2,5,7] => 6
[6,3,4,1,2,7,5] => 7
[6,3,4,1,7,2,5] => 10
[6,3,4,1,7,5,2] => 7
[6,3,4,2,1,5,7] => 3
[6,3,4,2,5,1,7] => 6
[6,3,4,2,5,7,1] => 3
[6,3,4,5,1,2,7] => 6
[6,3,4,5,1,7,2] => 7
[6,3,4,5,2,1,7] => 4
[6,3,4,5,2,7,1] => 12
[6,3,4,5,7,1,2] => 10
[6,3,4,7,1,5,2] => 12
[6,3,4,7,2,1,5] => 10
[6,3,4,7,2,5,1] => 7
[6,3,4,7,5,1,2] => 4
[6,3,4,7,5,2,1] => 6
[6,3,5,1,2,7,4] => 12
[6,3,5,1,7,2,4] => 7
[6,3,5,4,2,1,7] => 6
[6,3,5,4,2,7,1] => 3
[6,3,5,7,1,2,4] => 10
[6,3,5,7,4,1,2] => 10
[6,3,5,7,4,2,1] => 7
[6,3,7,1,2,4,5] => 12
[6,3,7,1,2,5,4] => 7
[6,3,7,1,4,2,5] => 7
[6,3,7,1,4,5,2] => 12
[6,3,7,1,5,4,2] => 3
[6,3,7,2,1,4,5] => 7
[6,3,7,2,4,1,5] => 10
[6,3,7,2,4,5,1] => 7
[6,3,7,4,5,1,2] => 6
[6,3,7,4,5,2,1] => 5
[6,3,7,5,1,4,2] => 12
[6,3,7,5,2,1,4] => 10
[6,3,7,5,4,2,1] => 10
[6,4,1,2,3,5,7] => 4
[6,4,1,2,3,7,5] => 10
[6,4,1,2,7,5,3] => 10
[6,4,1,5,2,7,3] => 12
[6,4,1,5,7,2,3] => 7
[6,4,1,5,7,3,2] => 12
[6,4,1,7,2,3,5] => 12
[6,4,1,7,2,5,3] => 7
[6,4,1,7,5,2,3] => 6
[6,4,1,7,5,3,2] => 3
[6,4,2,1,3,5,7] => 6
[6,4,2,1,5,3,7] => 5
[6,4,2,1,7,5,3] => 7
[6,4,2,3,1,5,7] => 3
[6,4,2,3,1,7,5] => 12
[6,4,2,3,5,1,7] => 6
[6,4,2,3,7,1,5] => 6
[6,4,2,5,1,3,7] => 6
[6,4,2,5,7,1,3] => 10
[6,4,2,7,1,3,5] => 7
[6,4,2,7,3,5,1] => 7
[6,4,2,7,5,3,1] => 6
[6,4,3,1,2,5,7] => 5
[6,4,3,1,5,7,2] => 5
[6,4,3,2,1,5,7] => 6
[6,4,3,2,1,7,5] => 4
[6,4,3,2,5,1,7] => 2
[6,4,3,2,5,7,1] => 6
[6,4,3,2,7,1,5] => 2
[6,4,3,5,1,2,7] => 5
[6,4,3,5,1,7,2] => 6
[6,4,3,5,2,1,7] => 6
[6,4,3,5,2,7,1] => 3
[6,4,3,7,1,2,5] => 6
[6,4,5,1,2,3,7] => 6
[6,4,5,2,1,3,7] => 4
[6,4,5,2,1,7,3] => 10
[6,4,5,2,3,1,7] => 2
[6,4,5,2,7,1,3] => 6
[6,4,5,3,1,2,7] => 6
[6,4,5,3,2,1,7] => 4
[6,4,5,7,1,2,3] => 7
[6,4,5,7,3,2,1] => 10
[6,4,7,1,2,5,3] => 10
[6,4,7,1,3,5,2] => 7
[6,4,7,1,5,3,2] => 6
[6,4,7,2,1,3,5] => 10
[6,4,7,2,3,5,1] => 10
[6,4,7,2,5,1,3] => 2
[6,4,7,3,1,5,2] => 12
[6,4,7,3,2,1,5] => 10
[6,4,7,3,2,5,1] => 7
[6,4,7,3,5,2,1] => 6
[6,4,7,5,1,2,3] => 10
[6,4,7,5,2,1,3] => 6
[6,4,7,5,2,3,1] => 12
[6,4,7,5,3,1,2] => 10
[6,4,7,5,3,2,1] => 7
[6,5,1,2,3,4,7] => 6
[6,5,1,2,7,3,4] => 12
[6,5,1,2,7,4,3] => 7
[6,5,1,3,2,7,4] => 10
[6,5,1,3,7,4,2] => 12
[6,5,1,7,2,4,3] => 10
[6,5,1,7,4,3,2] => 12
[6,5,2,1,3,4,7] => 3
[6,5,2,1,4,3,7] => 6
[6,5,2,1,7,3,4] => 7
[6,5,2,3,1,4,7] => 6
[6,5,2,3,1,7,4] => 7
[6,5,2,3,4,1,7] => 4
[6,5,2,3,7,1,4] => 10
[6,5,2,7,1,3,4] => 10
[6,5,2,7,4,1,3] => 10
[6,5,3,1,2,4,7] => 6
[6,5,3,1,4,7,2] => 6
[6,5,3,2,1,4,7] => 5
[6,5,3,2,4,1,7] => 6
[6,5,3,4,1,2,7] => 4
[6,5,3,4,2,1,7] => 2
[6,5,3,4,2,7,1] => 6
[6,5,3,7,1,2,4] => 4
[6,5,3,7,1,4,2] => 6
[6,5,3,7,2,1,4] => 2
[6,5,4,1,2,3,7] => 4
[6,5,4,1,2,7,3] => 10
[6,5,4,1,7,2,3] => 7
[6,5,4,1,7,3,2] => 12
[6,5,4,2,1,3,7] => 6
[6,5,4,2,3,1,7] => 4
[6,5,4,2,7,1,3] => 10
[6,5,4,3,1,2,7] => 4
[6,5,4,3,1,7,2] => 10
[6,5,4,3,2,1,7] => 2
[6,5,4,3,2,7,1] => 6
[6,5,4,3,7,2,1] => 10
[6,5,4,7,3,2,1] => 7
[6,5,7,4,3,2,1] => 6
[6,7,1,2,3,4,5] => 7
[6,7,1,2,3,5,4] => 12
[6,7,1,2,4,3,5] => 12
[6,7,1,2,4,5,3] => 7
[6,7,1,3,2,4,5] => 12
[6,7,1,3,4,5,2] => 10
[6,7,1,4,5,3,2] => 6
[6,7,1,5,2,3,4] => 12
[6,7,1,5,4,3,2] => 6
[6,7,2,1,3,5,4] => 7
[6,7,2,1,5,4,3] => 3
[6,7,2,3,1,4,5] => 7
[6,7,2,3,4,1,5] => 10
[6,7,2,3,4,5,1] => 7
[6,7,2,4,5,1,3] => 6
[6,7,2,5,4,3,1] => 10
[6,7,3,1,4,5,2] => 4
[6,7,3,1,5,4,2] => 6
[6,7,3,2,1,4,5] => 6
[6,7,3,2,1,5,4] => 3
[6,7,3,2,4,5,1] => 6
[6,7,3,2,5,1,4] => 6
[6,7,3,2,5,4,1] => 5
[6,7,3,4,1,5,2] => 6
[6,7,3,4,2,1,5] => 6
[6,7,3,4,5,1,2] => 2
[6,7,3,5,4,2,1] => 4
[6,7,4,1,2,3,5] => 12
[6,7,4,1,3,5,2] => 10
[6,7,4,1,5,3,2] => 4
[6,7,4,2,3,5,1] => 7
[6,7,4,3,2,5,1] => 10
[6,7,4,3,5,2,1] => 4
[6,7,4,5,1,2,3] => 7
[6,7,4,5,1,3,2] => 10
[6,7,5,1,2,3,4] => 7
[6,7,5,1,4,3,2] => 10
[6,7,5,4,3,2,1] => 4
[7,1,2,3,4,5,6] => 7
[7,1,2,3,5,4,6] => 6
[7,1,2,3,6,4,5] => 7
[7,1,2,4,5,3,6] => 5
[7,1,2,4,5,6,3] => 4
[7,1,2,5,3,4,6] => 7
[7,1,2,5,3,6,4] => 6
[7,1,2,5,6,3,4] => 7
[7,1,2,6,3,4,5] => 10
[7,1,3,2,5,6,4] => 4
[7,1,3,4,5,2,6] => 4
[7,1,3,4,5,6,2] => 3
[7,1,4,2,3,5,6] => 7
[7,1,4,2,6,3,5] => 7
[7,1,4,5,2,3,6] => 7
[7,1,4,5,6,2,3] => 7
[7,1,4,6,2,3,5] => 12
[7,1,5,2,3,4,6] => 10
[7,1,5,2,3,6,4] => 4
[7,1,5,2,6,3,4] => 12
[7,1,5,4,2,3,6] => 6
[7,1,6,3,4,5,2] => 12
[7,1,6,5,2,3,4] => 10
[7,1,6,5,4,3,2] => 6
[7,2,1,3,4,5,6] => 6
[7,2,1,3,5,4,6] => 5
[7,2,1,3,6,4,5] => 6
[7,2,1,4,5,6,3] => 3
[7,2,3,1,4,5,6] => 5
[7,2,3,1,5,6,4] => 3
[7,2,3,4,1,5,6] => 4
[7,2,3,4,1,6,5] => 3
[7,2,3,4,5,1,6] => 3
[7,2,3,4,5,6,1] => 2
[7,2,3,4,6,5,1] => 2
[7,2,3,5,4,6,1] => 2
[7,2,3,5,6,4,1] => 6
[7,2,3,6,4,1,5] => 5
[7,2,3,6,5,4,1] => 2
[7,2,4,3,5,6,1] => 2
[7,2,4,3,6,5,1] => 2
[7,2,4,5,3,6,1] => 6
[7,2,4,5,6,3,1] => 4
[7,2,4,6,5,3,1] => 6
[7,2,5,3,1,4,6] => 6
[7,2,5,3,4,1,6] => 3
[7,2,5,4,3,6,1] => 2
[7,2,5,4,6,3,1] => 6
[7,2,5,6,3,1,4] => 4
[7,2,6,3,1,4,5] => 3
[7,2,6,3,4,1,5] => 6
[7,2,6,4,5,3,1] => 2
[7,2,6,5,4,3,1] => 2
[7,3,1,2,4,5,6] => 7
[7,3,1,2,6,4,5] => 7
[7,3,1,4,2,6,5] => 5
[7,3,1,5,2,4,6] => 7
[7,3,1,5,6,2,4] => 7
[7,3,1,6,2,4,5] => 10
[7,3,1,6,5,4,2] => 4
[7,3,2,1,4,5,6] => 10
[7,3,2,4,1,5,6] => 4
[7,3,2,4,5,1,6] => 6
[7,3,2,4,5,6,1] => 2
[7,3,2,4,6,5,1] => 2
[7,3,2,5,4,6,1] => 2
[7,3,2,5,6,4,1] => 6
[7,3,2,6,5,4,1] => 2
[7,3,4,1,2,5,6] => 7
[7,3,4,1,5,2,6] => 6
[7,3,4,1,6,2,5] => 7
[7,3,4,2,1,5,6] => 12
[7,3,4,2,5,1,6] => 3
[7,3,4,2,5,6,1] => 6
[7,3,4,2,6,5,1] => 6
[7,3,4,5,1,2,6] => 7
[7,3,4,5,2,1,6] => 12
[7,3,4,5,2,6,1] => 4
[7,3,4,5,6,1,2] => 7
[7,3,4,5,6,2,1] => 10
[7,3,4,6,1,2,5] => 12
[7,3,4,6,5,2,1] => 4
[7,3,5,1,2,4,6] => 12
[7,3,5,1,6,2,4] => 12
[7,3,5,4,2,6,1] => 6
[7,3,5,4,6,2,1] => 4
[7,3,6,1,2,4,5] => 7
[7,3,6,1,5,4,2] => 6
[7,3,6,4,5,2,1] => 6
[7,3,6,5,1,2,4] => 12
[7,3,6,5,1,4,2] => 7
[7,3,6,5,4,1,2] => 10
[7,3,6,5,4,2,1] => 6
[7,4,1,2,3,5,6] => 10
[7,4,1,2,6,3,5] => 10
[7,4,1,3,5,2,6] => 6
[7,4,1,3,5,6,2] => 5
[7,4,1,5,2,3,6] => 12
[7,4,1,5,6,2,3] => 12
[7,4,1,6,2,3,5] => 7
[7,4,1,6,3,5,2] => 7
[7,4,1,6,5,3,2] => 6
[7,4,2,1,3,5,6] => 7
[7,4,2,3,1,5,6] => 12
[7,4,2,3,5,1,6] => 3
[7,4,2,6,3,1,5] => 7
[7,4,3,1,2,5,6] => 6
[7,4,3,2,1,5,6] => 4
[7,4,3,2,5,6,1] => 2
[7,4,3,2,6,5,1] => 2
[7,4,3,5,2,6,1] => 6
[7,4,3,5,6,2,1] => 4
[7,4,3,6,5,2,1] => 6
[7,4,5,1,2,3,6] => 7
[7,4,5,1,3,2,6] => 10
[7,4,5,2,1,3,6] => 10
[7,4,5,2,3,1,6] => 6
[7,4,5,3,1,2,6] => 7
[7,4,5,3,2,1,6] => 12
[7,4,5,6,1,2,3] => 12
[7,4,5,6,2,1,3] => 7
[7,4,5,6,2,3,1] => 10
[7,4,5,6,3,1,2] => 10
[7,4,5,6,3,2,1] => 6
[7,4,6,2,1,3,5] => 6
[7,4,6,2,3,1,5] => 10
[7,4,6,3,1,2,5] => 12
[7,4,6,3,2,1,5] => 7
[7,4,6,5,3,2,1] => 10
[7,5,1,2,3,4,6] => 7
[7,5,1,2,4,3,6] => 12
[7,5,1,2,6,3,4] => 7
[7,5,1,3,4,2,6] => 7
[7,5,1,6,4,2,3] => 12
[7,5,1,6,4,3,2] => 7
[7,5,2,1,3,4,6] => 12
[7,5,2,3,1,4,6] => 7
[7,5,2,3,4,1,6] => 12
[7,5,2,4,6,3,1] => 4
[7,5,2,6,3,1,4] => 12
[7,5,3,1,2,4,6] => 4
[7,5,3,2,1,4,6] => 6
[7,5,3,2,4,1,6] => 3
[7,5,3,4,1,2,6] => 5
[7,5,3,4,2,1,6] => 6
[7,5,3,4,2,6,1] => 2
[7,5,3,4,6,2,1] => 6
[7,5,4,1,2,3,6] => 10
[7,5,4,1,6,2,3] => 12
[7,5,4,1,6,3,2] => 7
[7,5,4,2,1,3,6] => 7
[7,5,4,2,3,1,6] => 12
[7,5,4,3,1,2,6] => 10
[7,5,4,3,2,1,6] => 6
[7,5,4,3,2,6,1] => 2
[7,5,4,3,6,2,1] => 6
[7,5,4,6,3,2,1] => 10
[7,5,6,1,2,3,4] => 6
[7,5,6,2,1,3,4] => 10
[7,5,6,2,3,1,4] => 7
[7,5,6,2,3,4,1] => 10
[7,5,6,3,1,2,4] => 7
[7,5,6,3,2,1,4] => 10
[7,5,6,3,4,1,2] => 7
[7,5,6,3,4,2,1] => 10
[7,5,6,4,1,2,3] => 6
[7,5,6,4,2,1,3] => 4
[7,5,6,4,2,3,1] => 2
[7,5,6,4,3,1,2] => 6
[7,5,6,4,3,2,1] => 4
[7,6,1,2,3,4,5] => 12
[7,6,1,2,3,5,4] => 7
[7,6,1,2,5,4,3] => 3
[7,6,1,3,4,2,5] => 10
[7,6,1,5,4,3,2] => 10
[7,6,2,1,3,4,5] => 7
[7,6,2,1,4,3,5] => 12
[7,6,2,3,1,4,5] => 12
[7,6,2,3,4,1,5] => 7
[7,6,2,3,4,5,1] => 10
[7,6,3,1,2,4,5] => 6
[7,6,3,2,1,4,5] => 3
[7,6,3,4,1,2,5] => 6
[7,6,3,4,2,1,5] => 5
[7,6,3,4,5,1,2] => 4
[7,6,3,4,5,2,1] => 2
[7,6,3,5,4,2,1] => 2
[7,6,4,1,2,3,5] => 7
[7,6,4,2,1,3,5] => 12
[7,6,4,2,3,1,5] => 7
[7,6,4,3,1,2,5] => 6
[7,6,4,3,2,1,5] => 10
[7,6,4,3,5,2,1] => 2
[7,6,4,5,1,2,3] => 10
[7,6,4,5,1,3,2] => 7
[7,6,4,5,2,1,3] => 7
[7,6,4,5,2,3,1] => 10
[7,6,4,5,3,1,2] => 12
[7,6,4,5,3,2,1] => 6
[7,6,5,1,2,3,4] => 12
[7,6,5,2,1,3,4] => 7
[7,6,5,2,3,1,4] => 10
[7,6,5,2,3,4,1] => 6
[7,6,5,3,1,2,4] => 10
[7,6,5,3,2,1,4] => 7
[7,6,5,3,4,1,2] => 12
[7,6,5,3,4,2,1] => 6
[7,6,5,4,1,2,3] => 4
[7,6,5,4,2,1,3] => 6
[7,6,5,4,2,3,1] => 4
[7,6,5,4,3,1,2] => 4
[7,6,5,4,3,2,1] => 2
[2,1,4,3,6,5,8,7,10,9,12,11] => 2
[2,1,4,3,6,5,8,7,12,11,10,9] => 2
[2,1,4,3,6,5,10,9,8,7,12,11] => 2
[2,1,4,3,6,5,12,9,8,11,10,7] => 2
[2,1,4,3,6,5,12,11,10,9,8,7] => 2
[2,1,4,3,8,7,6,5,10,9,12,11] => 2
[2,1,4,3,8,7,6,5,12,11,10,9] => 2
[2,1,4,3,10,7,6,9,8,5,12,11] => 2
[2,1,4,3,12,7,6,9,8,11,10,5] => 2
[2,1,4,3,12,7,6,11,10,9,8,5] => 2
[2,1,4,3,10,9,8,7,6,5,12,11] => 2
[2,1,4,3,12,9,8,7,6,11,10,5] => 2
[2,1,4,3,12,11,8,7,10,9,6,5] => 2
[2,1,4,3,12,11,10,9,8,7,6,5] => 2
[2,1,6,5,4,3,8,7,10,9,12,11] => 2
[2,1,6,5,4,3,8,7,12,11,10,9] => 2
[2,1,6,5,4,3,10,9,8,7,12,11] => 2
[2,1,6,5,4,3,12,9,8,11,10,7] => 2
[2,1,6,5,4,3,12,11,10,9,8,7] => 2
[2,1,8,5,4,7,6,3,10,9,12,11] => 2
[2,1,8,5,4,7,6,3,12,11,10,9] => 2
[2,1,10,5,4,7,6,9,8,3,12,11] => 2
[2,1,12,5,4,7,6,9,8,11,10,3] => 2
[2,1,12,5,4,7,6,11,10,9,8,3] => 2
[2,1,10,5,4,9,8,7,6,3,12,11] => 2
[2,1,12,5,4,9,8,7,6,11,10,3] => 2
[2,1,12,5,4,11,8,7,10,9,6,3] => 2
[2,1,12,5,4,11,10,9,8,7,6,3] => 2
[2,1,8,7,6,5,4,3,10,9,12,11] => 2
[2,1,8,7,6,5,4,3,12,11,10,9] => 2
[2,1,10,7,6,5,4,9,8,3,12,11] => 2
[2,1,12,7,6,5,4,9,8,11,10,3] => 2
[2,1,12,7,6,5,4,11,10,9,8,3] => 2
[2,1,10,9,6,5,8,7,4,3,12,11] => 2
[2,1,12,9,6,5,8,7,4,11,10,3] => 2
[2,1,12,11,6,5,8,7,10,9,4,3] => 2
[2,1,12,11,6,5,10,9,8,7,4,3] => 2
[2,1,10,9,8,7,6,5,4,3,12,11] => 2
[2,1,12,9,8,7,6,5,4,11,10,3] => 2
[2,1,12,11,8,7,6,5,10,9,4,3] => 2
[2,1,12,11,10,7,6,9,8,5,4,3] => 2
[2,1,12,11,10,9,8,7,6,5,4,3] => 2
[4,3,2,1,6,5,8,7,10,9,12,11] => 2
[4,3,2,1,6,5,8,7,12,11,10,9] => 2
[4,3,2,1,6,5,10,9,8,7,12,11] => 2
[4,3,2,1,6,5,12,9,8,11,10,7] => 2
[4,3,2,1,6,5,12,11,10,9,8,7] => 2
[4,3,2,1,8,7,6,5,10,9,12,11] => 2
[4,3,2,1,8,7,6,5,12,11,10,9] => 2
[4,3,2,1,10,7,6,9,8,5,12,11] => 2
[4,3,2,1,12,7,6,9,8,11,10,5] => 2
[4,3,2,1,12,7,6,11,10,9,8,5] => 2
[4,3,2,1,10,9,8,7,6,5,12,11] => 2
[4,3,2,1,12,9,8,7,6,11,10,5] => 2
[4,3,2,1,12,11,8,7,10,9,6,5] => 2
[4,3,2,1,12,11,10,9,8,7,6,5] => 2
[6,3,2,5,4,1,8,7,10,9,12,11] => 2
[6,3,2,5,4,1,8,7,12,11,10,9] => 2
[6,3,2,5,4,1,10,9,8,7,12,11] => 2
[6,3,2,5,4,1,12,9,8,11,10,7] => 2
[6,3,2,5,4,1,12,11,10,9,8,7] => 2
[8,3,2,5,4,7,6,1,10,9,12,11] => 2
[8,3,2,5,4,7,6,1,12,11,10,9] => 2
[10,3,2,5,4,7,6,9,8,1,12,11] => 2
[12,3,2,5,4,7,6,9,8,11,10,1] => 2
[12,3,2,5,4,7,6,11,10,9,8,1] => 2
[10,3,2,5,4,9,8,7,6,1,12,11] => 2
[12,3,2,5,4,9,8,7,6,11,10,1] => 2
[12,3,2,5,4,11,8,7,10,9,6,1] => 2
[12,3,2,5,4,11,10,9,8,7,6,1] => 2
[8,3,2,7,6,5,4,1,10,9,12,11] => 2
[8,3,2,7,6,5,4,1,12,11,10,9] => 2
[10,3,2,7,6,5,4,9,8,1,12,11] => 2
[12,3,2,7,6,5,4,9,8,11,10,1] => 2
[12,3,2,7,6,5,4,11,10,9,8,1] => 2
[10,3,2,9,6,5,8,7,4,1,12,11] => 2
[12,3,2,9,6,5,8,7,4,11,10,1] => 2
[12,3,2,11,6,5,8,7,10,9,4,1] => 2
[12,3,2,11,6,5,10,9,8,7,4,1] => 2
[10,3,2,9,8,7,6,5,4,1,12,11] => 2
[12,3,2,9,8,7,6,5,4,11,10,1] => 2
[12,3,2,11,8,7,6,5,10,9,4,1] => 2
[12,3,2,11,10,7,6,9,8,5,4,1] => 2
[12,3,2,11,10,9,8,7,6,5,4,1] => 2
[6,5,4,3,2,1,8,7,10,9,12,11] => 2
[6,5,4,3,2,1,8,7,12,11,10,9] => 2
[6,5,4,3,2,1,10,9,8,7,12,11] => 2
[6,5,4,3,2,1,12,9,8,11,10,7] => 2
[6,5,4,3,2,1,12,11,10,9,8,7] => 2
[8,5,4,3,2,7,6,1,10,9,12,11] => 2
[8,5,4,3,2,7,6,1,12,11,10,9] => 2
[10,5,4,3,2,7,6,9,8,1,12,11] => 2
[12,5,4,3,2,7,6,9,8,11,10,1] => 2
[12,5,4,3,2,7,6,11,10,9,8,1] => 2
[10,5,4,3,2,9,8,7,6,1,12,11] => 2
[12,5,4,3,2,9,8,7,6,11,10,1] => 2
[12,5,4,3,2,11,8,7,10,9,6,1] => 2
[12,5,4,3,2,11,10,9,8,7,6,1] => 2
[8,7,4,3,6,5,2,1,10,9,12,11] => 2
[8,7,4,3,6,5,2,1,12,11,10,9] => 2
[10,7,4,3,6,5,2,9,8,1,12,11] => 2
[12,7,4,3,6,5,2,9,8,11,10,1] => 2
[12,7,4,3,6,5,2,11,10,9,8,1] => 2
[10,9,4,3,6,5,8,7,2,1,12,11] => 2
[12,9,4,3,6,5,8,7,2,11,10,1] => 2
[12,11,4,3,6,5,8,7,10,9,2,1] => 2
[12,11,4,3,6,5,10,9,8,7,2,1] => 2
[10,9,4,3,8,7,6,5,2,1,12,11] => 2
[12,9,4,3,8,7,6,5,2,11,10,1] => 2
[12,11,4,3,8,7,6,5,10,9,2,1] => 2
[12,11,4,3,10,7,6,9,8,5,2,1] => 2
[12,11,4,3,10,9,8,7,6,5,2,1] => 2
[8,7,6,5,4,3,2,1,10,9,12,11] => 2
[8,7,6,5,4,3,2,1,12,11,10,9] => 2
[10,7,6,5,4,3,2,9,8,1,12,11] => 2
[12,7,6,5,4,3,2,9,8,11,10,1] => 2
[12,7,6,5,4,3,2,11,10,9,8,1] => 2
[10,9,6,5,4,3,8,7,2,1,12,11] => 2
[12,9,6,5,4,3,8,7,2,11,10,1] => 2
[12,11,6,5,4,3,8,7,10,9,2,1] => 2
[12,11,6,5,4,3,10,9,8,7,2,1] => 2
[10,9,8,5,4,7,6,3,2,1,12,11] => 2
[12,9,8,5,4,7,6,3,2,11,10,1] => 2
[12,11,8,5,4,7,6,3,10,9,2,1] => 2
[12,11,10,5,4,7,6,9,8,3,2,1] => 2
[12,11,10,5,4,9,8,7,6,3,2,1] => 2
[10,9,8,7,6,5,4,3,2,1,12,11] => 2
[12,9,8,7,6,5,4,3,2,11,10,1] => 2
[12,11,8,7,6,5,4,3,10,9,2,1] => 2
[12,11,10,7,6,5,4,9,8,3,2,1] => 2
[12,11,10,9,6,5,8,7,4,3,2,1] => 2
[12,11,10,9,8,7,6,5,4,3,2,1] => 2
[2,4,6,8,10,12,1,3,5,7,9,11] => 12
[2,4,6,8,11,12,1,3,5,7,9,10] => 9
[2,4,6,9,10,12,1,3,5,7,8,11] => 35
[2,4,6,9,11,12,1,3,5,7,8,10] => 12
[2,4,6,10,11,12,1,3,5,7,8,9] => 35
[2,4,7,8,10,12,1,3,5,6,9,11] => 6
[2,4,7,8,11,12,1,3,5,6,9,10] => 6
[2,4,7,9,10,12,1,3,5,6,8,11] => 12
[2,4,7,9,11,12,1,3,5,6,8,10] => 9
[2,4,7,10,11,12,1,3,5,6,8,9] => 12
[2,4,8,9,10,12,1,3,5,6,7,11] => 10
[2,4,8,9,11,12,1,3,5,6,7,10] => 42
[2,4,8,10,11,12,1,3,5,6,7,9] => 10
[2,4,9,10,11,12,1,3,5,6,7,8] => 12
[2,5,6,8,10,12,1,3,4,7,9,11] => 35
[2,5,6,8,11,12,1,3,4,7,9,10] => 12
[2,5,6,9,10,12,1,3,4,7,8,11] => 10
[2,5,6,9,11,12,1,3,4,7,8,10] => 10
[2,5,6,10,11,12,1,3,4,7,8,9] => 12
[2,5,7,8,10,12,1,3,4,6,9,11] => 12
[2,5,7,8,11,12,1,3,4,6,9,10] => 9
[2,5,7,9,10,12,1,3,4,6,8,11] => 10
[2,5,7,9,11,12,1,3,4,6,8,10] => 42
[2,5,7,10,11,12,1,3,4,6,8,9] => 35
[2,5,8,9,10,12,1,3,4,6,7,11] => 8
[2,5,8,9,11,12,1,3,4,6,7,10] => 30
[2,5,8,10,11,12,1,3,4,6,7,9] => 10
[2,5,9,10,11,12,1,3,4,6,7,8] => 35
[2,6,7,8,10,12,1,3,4,5,9,11] => 10
[2,6,7,8,11,12,1,3,4,5,9,10] => 12
[2,6,7,9,10,12,1,3,4,5,8,11] => 8
[2,6,7,9,11,12,1,3,4,5,8,10] => 10
[2,6,7,10,11,12,1,3,4,5,8,9] => 12
[2,6,8,9,10,12,1,3,4,5,7,11] => 6
[2,6,8,9,11,12,1,3,4,5,7,10] => 8
[2,6,8,10,11,12,1,3,4,5,7,9] => 10
[2,6,9,10,11,12,1,3,4,5,7,8] => 12
[2,7,8,9,10,12,1,3,4,5,6,11] => 6
[2,7,8,9,11,12,1,3,4,5,6,10] => 30
[2,7,8,10,11,12,1,3,4,5,6,9] => 42
[2,7,9,10,11,12,1,3,4,5,6,8] => 9
[2,8,9,10,11,12,1,3,4,5,6,7] => 12
[3,4,6,8,10,12,1,2,5,7,9,11] => 9
[3,4,6,8,11,12,1,2,5,7,9,10] => 6
[3,4,6,9,10,12,1,2,5,7,8,11] => 12
[3,4,6,9,11,12,1,2,5,7,8,10] => 6
[3,4,6,10,11,12,1,2,5,7,8,9] => 12
[3,4,7,8,10,12,1,2,5,6,9,11] => 6
[3,4,7,8,11,12,1,2,5,6,9,10] => 3
[3,4,7,9,10,12,1,2,5,6,8,11] => 9
[3,4,7,9,11,12,1,2,5,6,8,10] => 6
[3,4,7,10,11,12,1,2,5,6,8,9] => 9
[3,4,8,9,10,12,1,2,5,6,7,11] => 12
[3,4,8,9,11,12,1,2,5,6,7,10] => 9
[3,4,8,10,11,12,1,2,5,6,7,9] => 12
[3,4,9,10,11,12,1,2,5,6,7,8] => 6
[3,5,6,8,10,12,1,2,4,7,9,11] => 12
[3,5,6,8,11,12,1,2,4,7,9,10] => 6
[3,5,6,9,10,12,1,2,4,7,8,11] => 10
[3,5,6,9,11,12,1,2,4,7,8,10] => 12
[3,5,6,10,11,12,1,2,4,7,8,9] => 8
[3,5,7,8,10,12,1,2,4,6,9,11] => 9
[3,5,7,8,11,12,1,2,4,6,9,10] => 6
[3,5,7,9,10,12,1,2,4,6,8,11] => 42
[3,5,7,9,11,12,1,2,4,6,8,10] => 12
[3,5,7,10,11,12,1,2,4,6,8,9] => 60
[3,5,8,9,10,12,1,2,4,6,7,11] => 10
[3,5,8,9,11,12,1,2,4,6,7,10] => 42
[3,5,8,10,11,12,1,2,4,6,7,9] => 35
[3,5,9,10,11,12,1,2,4,6,7,8] => 12
[3,6,7,8,10,12,1,2,4,5,9,11] => 42
[3,6,7,8,11,12,1,2,4,5,9,10] => 9
[3,6,7,9,10,12,1,2,4,5,8,11] => 30
[3,6,7,9,11,12,1,2,4,5,8,10] => 42
[3,6,7,10,11,12,1,2,4,5,8,9] => 9
[3,6,8,9,10,12,1,2,4,5,7,11] => 8
[3,6,8,9,11,12,1,2,4,5,7,10] => 10
[3,6,8,10,11,12,1,2,4,5,7,9] => 12
[3,6,9,10,11,12,1,2,4,5,7,8] => 8
[3,7,8,9,10,12,1,2,4,5,6,11] => 30
[3,7,8,9,11,12,1,2,4,5,6,10] => 10
[3,7,8,10,11,12,1,2,4,5,6,9] => 35
[3,7,9,10,11,12,1,2,4,5,6,8] => 12
[3,8,9,10,11,12,1,2,4,5,6,7] => 10
[4,5,6,8,10,12,1,2,3,7,9,11] => 35
[4,5,6,8,11,12,1,2,3,7,9,10] => 12
[4,5,6,9,10,12,1,2,3,7,8,11] => 12
[4,5,6,9,11,12,1,2,3,7,8,10] => 8
[4,5,6,10,11,12,1,2,3,7,8,9] => 4
[4,5,7,8,10,12,1,2,3,6,9,11] => 12
[4,5,7,8,11,12,1,2,3,6,9,10] => 9
[4,5,7,9,10,12,1,2,3,6,8,11] => 35
[4,5,7,9,11,12,1,2,3,6,8,10] => 60
[4,5,7,10,11,12,1,2,3,6,8,9] => 8
[4,5,8,9,10,12,1,2,3,6,7,11] => 12
[4,5,8,9,11,12,1,2,3,6,7,10] => 9
[4,5,8,10,11,12,1,2,3,6,7,9] => 12
[4,5,9,10,11,12,1,2,3,6,7,8] => 10
[4,6,7,8,10,12,1,2,3,5,9,11] => 10
[4,6,7,8,11,12,1,2,3,5,9,10] => 12
[4,6,7,9,10,12,1,2,3,5,8,11] => 10
[4,6,7,9,11,12,1,2,3,5,8,10] => 35
[4,6,7,10,11,12,1,2,3,5,8,9] => 12
[4,6,8,9,10,12,1,2,3,5,7,11] => 10
[4,6,8,9,11,12,1,2,3,5,7,10] => 12
[4,6,8,10,11,12,1,2,3,5,7,9] => 6
[4,6,9,10,11,12,1,2,3,5,7,8] => 12
[4,7,8,9,10,12,1,2,3,5,6,11] => 42
[4,7,8,9,11,12,1,2,3,5,6,10] => 35
[4,7,8,10,11,12,1,2,3,5,6,9] => 12
[4,7,9,10,11,12,1,2,3,5,6,8] => 10
[4,8,9,10,11,12,1,2,3,5,6,7] => 8
[5,6,7,8,10,12,1,2,3,4,9,11] => 12
[5,6,7,8,11,12,1,2,3,4,9,10] => 6
[5,6,7,9,10,12,1,2,3,4,8,11] => 35
[5,6,7,9,11,12,1,2,3,4,8,10] => 12
[5,6,7,10,11,12,1,2,3,4,8,9] => 10
[5,6,8,9,10,12,1,2,3,4,7,11] => 12
[5,6,8,9,11,12,1,2,3,4,7,10] => 8
[5,6,8,10,11,12,1,2,3,4,7,9] => 12
[5,6,9,10,11,12,1,2,3,4,7,8] => 4
[5,7,8,9,10,12,1,2,3,4,6,11] => 9
[5,7,8,9,11,12,1,2,3,4,6,10] => 12
[5,7,8,10,11,12,1,2,3,4,6,9] => 10
[5,7,9,10,11,12,1,2,3,4,6,8] => 8
[5,8,9,10,11,12,1,2,3,4,6,7] => 6
[6,7,8,9,10,12,1,2,3,4,5,11] => 12
[6,7,8,9,11,12,1,2,3,4,5,10] => 10
[6,7,8,10,11,12,1,2,3,4,5,9] => 8
[6,7,9,10,11,12,1,2,3,4,5,8] => 6
[6,8,9,10,11,12,1,2,3,4,5,7] => 4
[7,8,9,10,11,12,1,2,3,4,5,6] => 2
[2,3,4,5,6,7,8,9,10,12,1,11] => 12
[3,1,4,5,6,7,8,9,10,11,12,2] => 12
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Created: Apr 05, 2013 at 14:08 by Christian Stump
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Last Updated: Dec 11, 2020 at 23:56 by Martin Rubey