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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   *
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-----------------------------------------------------------------------------
Statistic identifier: St001528

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

-----------------------------------------------------------------------------
Description: The number of permutations such that the product with the permutation has the same number of fixed points.

More formally, given a permutation $\pi$, this is the number of permutations $\sigma$ such that $\pi$ and $\pi\sigma$ have the same number of fixed points.

Note that the number of permutations $\sigma$ such that $\pi$ and $\pi\sigma$ have the same cycle type is the size of the conjugacy class of $\pi$, [[St000690]].

-----------------------------------------------------------------------------
References: [1]   balli Number of Permutations? [[MathOverflow:144899]]

-----------------------------------------------------------------------------
Code:
def statistic(pi):
    m = pi.number_of_fixed_points()
    return sum(1 for tau in Permutations(pi.size()) if (pi*tau).number_of_fixed_points() == m)


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

[1]             => 1
[1,2]           => 1
[2,1]           => 1
[1,2,3]         => 1
[1,3,2]         => 3
[2,1,3]         => 3
[2,3,1]         => 2
[3,1,2]         => 2
[3,2,1]         => 3
[1,2,3,4]       => 1
[1,2,4,3]       => 6
[1,3,2,4]       => 6
[1,3,4,2]       => 8
[1,4,2,3]       => 8
[1,4,3,2]       => 6
[2,1,3,4]       => 6
[2,1,4,3]       => 9
[2,3,1,4]       => 8
[2,3,4,1]       => 9
[2,4,1,3]       => 9
[2,4,3,1]       => 8
[3,1,2,4]       => 8
[3,1,4,2]       => 9
[3,2,1,4]       => 6
[3,2,4,1]       => 8
[3,4,1,2]       => 9
[3,4,2,1]       => 9
[4,1,2,3]       => 9
[4,1,3,2]       => 8
[4,2,1,3]       => 8
[4,2,3,1]       => 6
[4,3,1,2]       => 9
[4,3,2,1]       => 9
[1,2,3,4,5]     => 1
[1,2,3,5,4]     => 10
[1,2,4,3,5]     => 10
[1,2,4,5,3]     => 20
[1,2,5,3,4]     => 20
[1,2,5,4,3]     => 10
[1,3,2,4,5]     => 10
[1,3,2,5,4]     => 45
[1,3,4,2,5]     => 20
[1,3,4,5,2]     => 45
[1,3,5,2,4]     => 45
[1,3,5,4,2]     => 20
[1,4,2,3,5]     => 20
[1,4,2,5,3]     => 45
[1,4,3,2,5]     => 10
[1,4,3,5,2]     => 20
[1,4,5,2,3]     => 45
[1,4,5,3,2]     => 45
[1,5,2,3,4]     => 45
[1,5,2,4,3]     => 20
[1,5,3,2,4]     => 20
[1,5,3,4,2]     => 10
[1,5,4,2,3]     => 45
[1,5,4,3,2]     => 45
[2,1,3,4,5]     => 10
[2,1,3,5,4]     => 45
[2,1,4,3,5]     => 45
[2,1,4,5,3]     => 44
[2,1,5,3,4]     => 44
[2,1,5,4,3]     => 45
[2,3,1,4,5]     => 20
[2,3,1,5,4]     => 44
[2,3,4,1,5]     => 45
[2,3,4,5,1]     => 44
[2,3,5,1,4]     => 44
[2,3,5,4,1]     => 45
[2,4,1,3,5]     => 45
[2,4,1,5,3]     => 44
[2,4,3,1,5]     => 20
[2,4,3,5,1]     => 45
[2,4,5,1,3]     => 44
[2,4,5,3,1]     => 44
[2,5,1,3,4]     => 44
[2,5,1,4,3]     => 45
[2,5,3,1,4]     => 45
[2,5,3,4,1]     => 20
[2,5,4,1,3]     => 44
[2,5,4,3,1]     => 44
[3,1,2,4,5]     => 20
[3,1,2,5,4]     => 44
[3,1,4,2,5]     => 45
[3,1,4,5,2]     => 44
[3,1,5,2,4]     => 44
[3,1,5,4,2]     => 45
[3,2,1,4,5]     => 10
[3,2,1,5,4]     => 45
[3,2,4,1,5]     => 20
[3,2,4,5,1]     => 45
[3,2,5,1,4]     => 45
[3,2,5,4,1]     => 20
[3,4,1,2,5]     => 45
[3,4,1,5,2]     => 44
[3,4,2,1,5]     => 45
[3,4,2,5,1]     => 44
[3,4,5,1,2]     => 44
[3,4,5,2,1]     => 44
[3,5,1,2,4]     => 44
[3,5,1,4,2]     => 45
[3,5,2,1,4]     => 44
[3,5,2,4,1]     => 45
[3,5,4,1,2]     => 44
[3,5,4,2,1]     => 44
[4,1,2,3,5]     => 45
[4,1,2,5,3]     => 44
[4,1,3,2,5]     => 20
[4,1,3,5,2]     => 45
[4,1,5,2,3]     => 44
[4,1,5,3,2]     => 44
[4,2,1,3,5]     => 20
[4,2,1,5,3]     => 45
[4,2,3,1,5]     => 10
[4,2,3,5,1]     => 20
[4,2,5,1,3]     => 45
[4,2,5,3,1]     => 45
[4,3,1,2,5]     => 45
[4,3,1,5,2]     => 44
[4,3,2,1,5]     => 45
[4,3,2,5,1]     => 44
[4,3,5,1,2]     => 44
[4,3,5,2,1]     => 44
[4,5,1,2,3]     => 44
[4,5,1,3,2]     => 44
[4,5,2,1,3]     => 44
[4,5,2,3,1]     => 44
[4,5,3,1,2]     => 45
[4,5,3,2,1]     => 45
[5,1,2,3,4]     => 44
[5,1,2,4,3]     => 45
[5,1,3,2,4]     => 45
[5,1,3,4,2]     => 20
[5,1,4,2,3]     => 44
[5,1,4,3,2]     => 44
[5,2,1,3,4]     => 45
[5,2,1,4,3]     => 20
[5,2,3,1,4]     => 20
[5,2,3,4,1]     => 10
[5,2,4,1,3]     => 45
[5,2,4,3,1]     => 45
[5,3,1,2,4]     => 44
[5,3,1,4,2]     => 45
[5,3,2,1,4]     => 44
[5,3,2,4,1]     => 45
[5,3,4,1,2]     => 44
[5,3,4,2,1]     => 44
[5,4,1,2,3]     => 44
[5,4,1,3,2]     => 44
[5,4,2,1,3]     => 44
[5,4,2,3,1]     => 44
[5,4,3,1,2]     => 45
[5,4,3,2,1]     => 45
[1,2,3,4,5,6]   => 1
[1,2,3,4,6,5]   => 15
[1,2,3,5,4,6]   => 15
[1,2,3,5,6,4]   => 40
[1,2,3,6,4,5]   => 40
[1,2,3,6,5,4]   => 15
[1,2,4,3,5,6]   => 15
[1,2,4,3,6,5]   => 135
[1,2,4,5,3,6]   => 40
[1,2,4,5,6,3]   => 135
[1,2,4,6,3,5]   => 135
[1,2,4,6,5,3]   => 40
[1,2,5,3,4,6]   => 40
[1,2,5,3,6,4]   => 135
[1,2,5,4,3,6]   => 15
[1,2,5,4,6,3]   => 40
[1,2,5,6,3,4]   => 135
[1,2,5,6,4,3]   => 135
[1,2,6,3,4,5]   => 135
[1,2,6,3,5,4]   => 40
[1,2,6,4,3,5]   => 40
[1,2,6,4,5,3]   => 15
[1,2,6,5,3,4]   => 135
[1,2,6,5,4,3]   => 135
[1,3,2,4,5,6]   => 15
[1,3,2,4,6,5]   => 135
[1,3,2,5,4,6]   => 135
[1,3,2,5,6,4]   => 264
[1,3,2,6,4,5]   => 264
[1,3,2,6,5,4]   => 135
[1,3,4,2,5,6]   => 40
[1,3,4,2,6,5]   => 264
[1,3,4,5,2,6]   => 135
[1,3,4,5,6,2]   => 264
[1,3,4,6,2,5]   => 264
[1,3,4,6,5,2]   => 135
[1,3,5,2,4,6]   => 135
[1,3,5,2,6,4]   => 264
[1,3,5,4,2,6]   => 40
[1,3,5,4,6,2]   => 135
[1,3,5,6,2,4]   => 264
[1,3,5,6,4,2]   => 264
[1,3,6,2,4,5]   => 264
[1,3,6,2,5,4]   => 135
[1,3,6,4,2,5]   => 135
[1,3,6,4,5,2]   => 40
[1,3,6,5,2,4]   => 264
[1,3,6,5,4,2]   => 264
[1,4,2,3,5,6]   => 40
[1,4,2,3,6,5]   => 264
[1,4,2,5,3,6]   => 135
[1,4,2,5,6,3]   => 264
[1,4,2,6,3,5]   => 264
[1,4,2,6,5,3]   => 135
[1,4,3,2,5,6]   => 15
[1,4,3,2,6,5]   => 135
[1,4,3,5,2,6]   => 40
[1,4,3,5,6,2]   => 135
[1,4,3,6,2,5]   => 135
[1,4,3,6,5,2]   => 40
[1,4,5,2,3,6]   => 135
[1,4,5,2,6,3]   => 264
[1,4,5,3,2,6]   => 135
[1,4,5,3,6,2]   => 264
[1,4,5,6,2,3]   => 264
[1,4,5,6,3,2]   => 264
[1,4,6,2,3,5]   => 264
[1,4,6,2,5,3]   => 135
[1,4,6,3,2,5]   => 264
[1,4,6,3,5,2]   => 135
[1,4,6,5,2,3]   => 264
[1,4,6,5,3,2]   => 264
[1,5,2,3,4,6]   => 135
[1,5,2,3,6,4]   => 264
[1,5,2,4,3,6]   => 40
[1,5,2,4,6,3]   => 135
[1,5,2,6,3,4]   => 264
[1,5,2,6,4,3]   => 264
[1,5,3,2,4,6]   => 40
[1,5,3,2,6,4]   => 135
[1,5,3,4,2,6]   => 15
[1,5,3,4,6,2]   => 40
[1,5,3,6,2,4]   => 135
[1,5,3,6,4,2]   => 135
[1,5,4,2,3,6]   => 135
[1,5,4,2,6,3]   => 264
[1,5,4,3,2,6]   => 135
[1,5,4,3,6,2]   => 264
[1,5,4,6,2,3]   => 264
[1,5,4,6,3,2]   => 264
[1,5,6,2,3,4]   => 264
[1,5,6,2,4,3]   => 264
[1,5,6,3,2,4]   => 264
[1,5,6,3,4,2]   => 264
[1,5,6,4,2,3]   => 135
[1,5,6,4,3,2]   => 135
[1,6,2,3,4,5]   => 264
[1,6,2,3,5,4]   => 135
[1,6,2,4,3,5]   => 135
[1,6,2,4,5,3]   => 40
[1,6,2,5,3,4]   => 264
[1,6,2,5,4,3]   => 264
[1,6,3,2,4,5]   => 135
[1,6,3,2,5,4]   => 40
[1,6,3,4,2,5]   => 40
[1,6,3,4,5,2]   => 15
[1,6,3,5,2,4]   => 135
[1,6,3,5,4,2]   => 135
[1,6,4,2,3,5]   => 264
[1,6,4,2,5,3]   => 135
[1,6,4,3,2,5]   => 264
[1,6,4,3,5,2]   => 135
[1,6,4,5,2,3]   => 264
[1,6,4,5,3,2]   => 264
[1,6,5,2,3,4]   => 264
[1,6,5,2,4,3]   => 264
[1,6,5,3,2,4]   => 264
[1,6,5,3,4,2]   => 264
[1,6,5,4,2,3]   => 135
[1,6,5,4,3,2]   => 135
[2,1,3,4,5,6]   => 15
[2,1,3,4,6,5]   => 135
[2,1,3,5,4,6]   => 135
[2,1,3,5,6,4]   => 264
[2,1,3,6,4,5]   => 264
[2,1,3,6,5,4]   => 135
[2,1,4,3,5,6]   => 135
[2,1,4,3,6,5]   => 265
[2,1,4,5,3,6]   => 264
[2,1,4,5,6,3]   => 265
[2,1,4,6,3,5]   => 265
[2,1,4,6,5,3]   => 264
[2,1,5,3,4,6]   => 264
[2,1,5,3,6,4]   => 265
[2,1,5,4,3,6]   => 135
[2,1,5,4,6,3]   => 264
[2,1,5,6,3,4]   => 265
[2,1,5,6,4,3]   => 265
[2,1,6,3,4,5]   => 265
[2,1,6,3,5,4]   => 264
[2,1,6,4,3,5]   => 264
[2,1,6,4,5,3]   => 135
[2,1,6,5,3,4]   => 265
[2,1,6,5,4,3]   => 265
[2,3,1,4,5,6]   => 40
[2,3,1,4,6,5]   => 264
[2,3,1,5,4,6]   => 264
[2,3,1,5,6,4]   => 265
[2,3,1,6,4,5]   => 265
[2,3,1,6,5,4]   => 264
[2,3,4,1,5,6]   => 135
[2,3,4,1,6,5]   => 265
[2,3,4,5,1,6]   => 264
[2,3,4,5,6,1]   => 265
[2,3,4,6,1,5]   => 265
[2,3,4,6,5,1]   => 264
[2,3,5,1,4,6]   => 264
[2,3,5,1,6,4]   => 265
[2,3,5,4,1,6]   => 135
[2,3,5,4,6,1]   => 264
[2,3,5,6,1,4]   => 265
[2,3,5,6,4,1]   => 265
[2,3,6,1,4,5]   => 265
[2,3,6,1,5,4]   => 264
[2,3,6,4,1,5]   => 264
[2,3,6,4,5,1]   => 135
[2,3,6,5,1,4]   => 265
[2,3,6,5,4,1]   => 265
[2,4,1,3,5,6]   => 135
[2,4,1,3,6,5]   => 265
[2,4,1,5,3,6]   => 264
[2,4,1,5,6,3]   => 265
[2,4,1,6,3,5]   => 265
[2,4,1,6,5,3]   => 264
[2,4,3,1,5,6]   => 40
[2,4,3,1,6,5]   => 264
[2,4,3,5,1,6]   => 135
[2,4,3,5,6,1]   => 264
[2,4,3,6,1,5]   => 264
[2,4,3,6,5,1]   => 135
[2,4,5,1,3,6]   => 264
[2,4,5,1,6,3]   => 265
[2,4,5,3,1,6]   => 264
[2,4,5,3,6,1]   => 265
[2,4,5,6,1,3]   => 265
[2,4,5,6,3,1]   => 265
[2,4,6,1,3,5]   => 265
[2,4,6,1,5,3]   => 264
[2,4,6,3,1,5]   => 265
[2,4,6,3,5,1]   => 264
[2,4,6,5,1,3]   => 265
[2,4,6,5,3,1]   => 265
[2,5,1,3,4,6]   => 264
[2,5,1,3,6,4]   => 265
[2,5,1,4,3,6]   => 135
[2,5,1,4,6,3]   => 264
[2,5,1,6,3,4]   => 265
[2,5,1,6,4,3]   => 265
[2,5,3,1,4,6]   => 135
[2,5,3,1,6,4]   => 264
[2,5,3,4,1,6]   => 40
[2,5,3,4,6,1]   => 135
[2,5,3,6,1,4]   => 264
[2,5,3,6,4,1]   => 264
[2,5,4,1,3,6]   => 264
[2,5,4,1,6,3]   => 265
[2,5,4,3,1,6]   => 264
[2,5,4,3,6,1]   => 265
[2,5,4,6,1,3]   => 265
[2,5,4,6,3,1]   => 265
[2,5,6,1,3,4]   => 265
[2,5,6,1,4,3]   => 265
[2,5,6,3,1,4]   => 265
[2,5,6,3,4,1]   => 265
[2,5,6,4,1,3]   => 264
[2,5,6,4,3,1]   => 264
[2,6,1,3,4,5]   => 265
[2,6,1,3,5,4]   => 264
[2,6,1,4,3,5]   => 264
[2,6,1,4,5,3]   => 135
[2,6,1,5,3,4]   => 265
[2,6,1,5,4,3]   => 265
[2,6,3,1,4,5]   => 264
[2,6,3,1,5,4]   => 135
[2,6,3,4,1,5]   => 135
[2,6,3,4,5,1]   => 40
[2,6,3,5,1,4]   => 264
[2,6,3,5,4,1]   => 264
[2,6,4,1,3,5]   => 265
[2,6,4,1,5,3]   => 264
[2,6,4,3,1,5]   => 265
[2,6,4,3,5,1]   => 264
[2,6,4,5,1,3]   => 265
[2,6,4,5,3,1]   => 265
[2,6,5,1,3,4]   => 265
[2,6,5,1,4,3]   => 265
[2,6,5,3,1,4]   => 265
[2,6,5,3,4,1]   => 265
[2,6,5,4,1,3]   => 264
[2,6,5,4,3,1]   => 264
[3,1,2,4,5,6]   => 40
[3,1,2,4,6,5]   => 264
[3,1,2,5,4,6]   => 264
[3,1,2,5,6,4]   => 265
[3,1,2,6,4,5]   => 265
[3,1,2,6,5,4]   => 264
[3,1,4,2,5,6]   => 135
[3,1,4,2,6,5]   => 265
[3,1,4,5,2,6]   => 264
[3,1,4,5,6,2]   => 265
[3,1,4,6,2,5]   => 265
[3,1,4,6,5,2]   => 264
[3,1,5,2,4,6]   => 264
[3,1,5,2,6,4]   => 265
[3,1,5,4,2,6]   => 135
[3,1,5,4,6,2]   => 264
[3,1,5,6,2,4]   => 265
[3,1,5,6,4,2]   => 265
[3,1,6,2,4,5]   => 265
[3,1,6,2,5,4]   => 264
[3,1,6,4,2,5]   => 264
[3,1,6,4,5,2]   => 135
[3,1,6,5,2,4]   => 265
[3,1,6,5,4,2]   => 265
[3,2,1,4,5,6]   => 15
[3,2,1,4,6,5]   => 135
[3,2,1,5,4,6]   => 135
[3,2,1,5,6,4]   => 264
[3,2,1,6,4,5]   => 264
[3,2,1,6,5,4]   => 135
[3,2,4,1,5,6]   => 40
[3,2,4,1,6,5]   => 264
[3,2,4,5,1,6]   => 135
[3,2,4,5,6,1]   => 264
[3,2,4,6,1,5]   => 264
[3,2,4,6,5,1]   => 135
[3,2,5,1,4,6]   => 135
[3,2,5,1,6,4]   => 264
[3,2,5,4,1,6]   => 40
[3,2,5,4,6,1]   => 135
[3,2,5,6,1,4]   => 264
[3,2,5,6,4,1]   => 264
[3,2,6,1,4,5]   => 264
[3,2,6,1,5,4]   => 135
[3,2,6,4,1,5]   => 135
[3,2,6,4,5,1]   => 40
[3,2,6,5,1,4]   => 264
[3,2,6,5,4,1]   => 264
[3,4,1,2,5,6]   => 135
[3,4,1,2,6,5]   => 265
[3,4,1,5,2,6]   => 264
[3,4,1,5,6,2]   => 265
[3,4,1,6,2,5]   => 265
[3,4,1,6,5,2]   => 264
[3,4,2,1,5,6]   => 135
[3,4,2,1,6,5]   => 265
[3,4,2,5,1,6]   => 264
[3,4,2,5,6,1]   => 265
[3,4,2,6,1,5]   => 265
[3,4,2,6,5,1]   => 264
[3,4,5,1,2,6]   => 264
[3,4,5,1,6,2]   => 265
[3,4,5,2,1,6]   => 264
[3,4,5,2,6,1]   => 265
[3,4,5,6,1,2]   => 265
[3,4,5,6,2,1]   => 265
[3,4,6,1,2,5]   => 265
[3,4,6,1,5,2]   => 264
[3,4,6,2,1,5]   => 265
[3,4,6,2,5,1]   => 264
[3,4,6,5,1,2]   => 265
[3,4,6,5,2,1]   => 265
[3,5,1,2,4,6]   => 264
[3,5,1,2,6,4]   => 265
[3,5,1,4,2,6]   => 135
[3,5,1,4,6,2]   => 264
[3,5,1,6,2,4]   => 265
[3,5,1,6,4,2]   => 265
[3,5,2,1,4,6]   => 264
[3,5,2,1,6,4]   => 265
[3,5,2,4,1,6]   => 135
[3,5,2,4,6,1]   => 264
[3,5,2,6,1,4]   => 265
[3,5,2,6,4,1]   => 265
[3,5,4,1,2,6]   => 264
[3,5,4,1,6,2]   => 265
[3,5,4,2,1,6]   => 264
[3,5,4,2,6,1]   => 265
[3,5,4,6,1,2]   => 265
[3,5,4,6,2,1]   => 265
[3,5,6,1,2,4]   => 265
[3,5,6,1,4,2]   => 265
[3,5,6,2,1,4]   => 265
[3,5,6,2,4,1]   => 265
[3,5,6,4,1,2]   => 264
[3,5,6,4,2,1]   => 264
[3,6,1,2,4,5]   => 265
[3,6,1,2,5,4]   => 264
[3,6,1,4,2,5]   => 264
[3,6,1,4,5,2]   => 135
[3,6,1,5,2,4]   => 265
[3,6,1,5,4,2]   => 265
[3,6,2,1,4,5]   => 265
[3,6,2,1,5,4]   => 264
[3,6,2,4,1,5]   => 264
[3,6,2,4,5,1]   => 135
[3,6,2,5,1,4]   => 265
[3,6,2,5,4,1]   => 265
[3,6,4,1,2,5]   => 265
[3,6,4,1,5,2]   => 264
[3,6,4,2,1,5]   => 265
[3,6,4,2,5,1]   => 264
[3,6,4,5,1,2]   => 265
[3,6,4,5,2,1]   => 265
[3,6,5,1,2,4]   => 265
[3,6,5,1,4,2]   => 265
[3,6,5,2,1,4]   => 265
[3,6,5,2,4,1]   => 265
[3,6,5,4,1,2]   => 264
[3,6,5,4,2,1]   => 264
[4,1,2,3,5,6]   => 135
[4,1,2,3,6,5]   => 265
[4,1,2,5,3,6]   => 264
[4,1,2,5,6,3]   => 265
[4,1,2,6,3,5]   => 265
[4,1,2,6,5,3]   => 264
[4,1,3,2,5,6]   => 40
[4,1,3,2,6,5]   => 264
[4,1,3,5,2,6]   => 135
[4,1,3,5,6,2]   => 264
[4,1,3,6,2,5]   => 264
[4,1,3,6,5,2]   => 135
[4,1,5,2,3,6]   => 264
[4,1,5,2,6,3]   => 265
[4,1,5,3,2,6]   => 264
[4,1,5,3,6,2]   => 265
[4,1,5,6,2,3]   => 265
[4,1,5,6,3,2]   => 265
[4,1,6,2,3,5]   => 265
[4,1,6,2,5,3]   => 264
[4,1,6,3,2,5]   => 265
[4,1,6,3,5,2]   => 264
[4,1,6,5,2,3]   => 265
[4,1,6,5,3,2]   => 265
[4,2,1,3,5,6]   => 40
[4,2,1,3,6,5]   => 264
[4,2,1,5,3,6]   => 135
[4,2,1,5,6,3]   => 264
[4,2,1,6,3,5]   => 264
[4,2,1,6,5,3]   => 135
[4,2,3,1,5,6]   => 15
[4,2,3,1,6,5]   => 135
[4,2,3,5,1,6]   => 40
[4,2,3,5,6,1]   => 135
[4,2,3,6,1,5]   => 135
[4,2,3,6,5,1]   => 40
[4,2,5,1,3,6]   => 135
[4,2,5,1,6,3]   => 264
[4,2,5,3,1,6]   => 135
[4,2,5,3,6,1]   => 264
[4,2,5,6,1,3]   => 264
[4,2,5,6,3,1]   => 264
[4,2,6,1,3,5]   => 264
[4,2,6,1,5,3]   => 135
[4,2,6,3,1,5]   => 264
[4,2,6,3,5,1]   => 135
[4,2,6,5,1,3]   => 264
[4,2,6,5,3,1]   => 264
[4,3,1,2,5,6]   => 135
[4,3,1,2,6,5]   => 265
[4,3,1,5,2,6]   => 264
[4,3,1,5,6,2]   => 265
[4,3,1,6,2,5]   => 265
[4,3,1,6,5,2]   => 264
[4,3,2,1,5,6]   => 135
[4,3,2,1,6,5]   => 265
[4,3,2,5,1,6]   => 264
[4,3,2,5,6,1]   => 265
[4,3,2,6,1,5]   => 265
[4,3,2,6,5,1]   => 264
[4,3,5,1,2,6]   => 264
[4,3,5,1,6,2]   => 265
[4,3,5,2,1,6]   => 264
[4,3,5,2,6,1]   => 265
[4,3,5,6,1,2]   => 265
[4,3,5,6,2,1]   => 265
[4,3,6,1,2,5]   => 265
[4,3,6,1,5,2]   => 264
[4,3,6,2,1,5]   => 265
[4,3,6,2,5,1]   => 264
[4,3,6,5,1,2]   => 265
[4,3,6,5,2,1]   => 265
[4,5,1,2,3,6]   => 264
[4,5,1,2,6,3]   => 265
[4,5,1,3,2,6]   => 264
[4,5,1,3,6,2]   => 265
[4,5,1,6,2,3]   => 265
[4,5,1,6,3,2]   => 265
[4,5,2,1,3,6]   => 264
[4,5,2,1,6,3]   => 265
[4,5,2,3,1,6]   => 264
[4,5,2,3,6,1]   => 265
[4,5,2,6,1,3]   => 265
[4,5,2,6,3,1]   => 265
[4,5,3,1,2,6]   => 135
[4,5,3,1,6,2]   => 264
[4,5,3,2,1,6]   => 135
[4,5,3,2,6,1]   => 264
[4,5,3,6,1,2]   => 264
[4,5,3,6,2,1]   => 264
[4,5,6,1,2,3]   => 265
[4,5,6,1,3,2]   => 265
[4,5,6,2,1,3]   => 265
[4,5,6,2,3,1]   => 265
[4,5,6,3,1,2]   => 265
[4,5,6,3,2,1]   => 265
[4,6,1,2,3,5]   => 265
[4,6,1,2,5,3]   => 264
[4,6,1,3,2,5]   => 265
[4,6,1,3,5,2]   => 264
[4,6,1,5,2,3]   => 265
[4,6,1,5,3,2]   => 265
[4,6,2,1,3,5]   => 265
[4,6,2,1,5,3]   => 264
[4,6,2,3,1,5]   => 265
[4,6,2,3,5,1]   => 264
[4,6,2,5,1,3]   => 265
[4,6,2,5,3,1]   => 265
[4,6,3,1,2,5]   => 264
[4,6,3,1,5,2]   => 135
[4,6,3,2,1,5]   => 264
[4,6,3,2,5,1]   => 135
[4,6,3,5,1,2]   => 264
[4,6,3,5,2,1]   => 264
[4,6,5,1,2,3]   => 265
[4,6,5,1,3,2]   => 265
[4,6,5,2,1,3]   => 265
[4,6,5,2,3,1]   => 265
[4,6,5,3,1,2]   => 265
[4,6,5,3,2,1]   => 265
[5,1,2,3,4,6]   => 264
[5,1,2,3,6,4]   => 265
[5,1,2,4,3,6]   => 135
[5,1,2,4,6,3]   => 264
[5,1,2,6,3,4]   => 265
[5,1,2,6,4,3]   => 265
[5,1,3,2,4,6]   => 135
[5,1,3,2,6,4]   => 264
[5,1,3,4,2,6]   => 40
[5,1,3,4,6,2]   => 135
[5,1,3,6,2,4]   => 264
[5,1,3,6,4,2]   => 264
[5,1,4,2,3,6]   => 264
[5,1,4,2,6,3]   => 265
[5,1,4,3,2,6]   => 264
[5,1,4,3,6,2]   => 265
[5,1,4,6,2,3]   => 265
[5,1,4,6,3,2]   => 265
[5,1,6,2,3,4]   => 265
[5,1,6,2,4,3]   => 265
[5,1,6,3,2,4]   => 265
[5,1,6,3,4,2]   => 265
[5,1,6,4,2,3]   => 264
[5,1,6,4,3,2]   => 264
[5,2,1,3,4,6]   => 135
[5,2,1,3,6,4]   => 264
[5,2,1,4,3,6]   => 40
[5,2,1,4,6,3]   => 135
[5,2,1,6,3,4]   => 264
[5,2,1,6,4,3]   => 264
[5,2,3,1,4,6]   => 40
[5,2,3,1,6,4]   => 135
[5,2,3,4,1,6]   => 15
[5,2,3,4,6,1]   => 40
[5,2,3,6,1,4]   => 135
[5,2,3,6,4,1]   => 135
[5,2,4,1,3,6]   => 135
[5,2,4,1,6,3]   => 264
[5,2,4,3,1,6]   => 135
[5,2,4,3,6,1]   => 264
[5,2,4,6,1,3]   => 264
[5,2,4,6,3,1]   => 264
[5,2,6,1,3,4]   => 264
[5,2,6,1,4,3]   => 264
[5,2,6,3,1,4]   => 264
[5,2,6,3,4,1]   => 264
[5,2,6,4,1,3]   => 135
[5,2,6,4,3,1]   => 135
[5,3,1,2,4,6]   => 264
[5,3,1,2,6,4]   => 265
[5,3,1,4,2,6]   => 135
[5,3,1,4,6,2]   => 264
[5,3,1,6,2,4]   => 265
[5,3,1,6,4,2]   => 265
[5,3,2,1,4,6]   => 264
[5,3,2,1,6,4]   => 265
[5,3,2,4,1,6]   => 135
[5,3,2,4,6,1]   => 264
[5,3,2,6,1,4]   => 265
[5,3,2,6,4,1]   => 265
[5,3,4,1,2,6]   => 264
[5,3,4,1,6,2]   => 265
[5,3,4,2,1,6]   => 264
[5,3,4,2,6,1]   => 265
[5,3,4,6,1,2]   => 265
[5,3,4,6,2,1]   => 265
[5,3,6,1,2,4]   => 265
[5,3,6,1,4,2]   => 265
[5,3,6,2,1,4]   => 265
[5,3,6,2,4,1]   => 265
[5,3,6,4,1,2]   => 264
[5,3,6,4,2,1]   => 264
[5,4,1,2,3,6]   => 264
[5,4,1,2,6,3]   => 265
[5,4,1,3,2,6]   => 264
[5,4,1,3,6,2]   => 265
[5,4,1,6,2,3]   => 265
[5,4,1,6,3,2]   => 265
[5,4,2,1,3,6]   => 264
[5,4,2,1,6,3]   => 265
[5,4,2,3,1,6]   => 264
[5,4,2,3,6,1]   => 265
[5,4,2,6,1,3]   => 265
[5,4,2,6,3,1]   => 265
[5,4,3,1,2,6]   => 135
[5,4,3,1,6,2]   => 264
[5,4,3,2,1,6]   => 135
[5,4,3,2,6,1]   => 264
[5,4,3,6,1,2]   => 264
[5,4,3,6,2,1]   => 264
[5,4,6,1,2,3]   => 265
[5,4,6,1,3,2]   => 265
[5,4,6,2,1,3]   => 265
[5,4,6,2,3,1]   => 265
[5,4,6,3,1,2]   => 265
[5,4,6,3,2,1]   => 265
[5,6,1,2,3,4]   => 265
[5,6,1,2,4,3]   => 265
[5,6,1,3,2,4]   => 265
[5,6,1,3,4,2]   => 265
[5,6,1,4,2,3]   => 264
[5,6,1,4,3,2]   => 264
[5,6,2,1,3,4]   => 265
[5,6,2,1,4,3]   => 265
[5,6,2,3,1,4]   => 265
[5,6,2,3,4,1]   => 265
[5,6,2,4,1,3]   => 264
[5,6,2,4,3,1]   => 264
[5,6,3,1,2,4]   => 264
[5,6,3,1,4,2]   => 264
[5,6,3,2,1,4]   => 264
[5,6,3,2,4,1]   => 264
[5,6,3,4,1,2]   => 135
[5,6,3,4,2,1]   => 135
[5,6,4,1,2,3]   => 265
[5,6,4,1,3,2]   => 265
[5,6,4,2,1,3]   => 265
[5,6,4,2,3,1]   => 265
[5,6,4,3,1,2]   => 265
[5,6,4,3,2,1]   => 265
[6,1,2,3,4,5]   => 265
[6,1,2,3,5,4]   => 264
[6,1,2,4,3,5]   => 264
[6,1,2,4,5,3]   => 135
[6,1,2,5,3,4]   => 265
[6,1,2,5,4,3]   => 265
[6,1,3,2,4,5]   => 264
[6,1,3,2,5,4]   => 135
[6,1,3,4,2,5]   => 135
[6,1,3,4,5,2]   => 40
[6,1,3,5,2,4]   => 264
[6,1,3,5,4,2]   => 264
[6,1,4,2,3,5]   => 265
[6,1,4,2,5,3]   => 264
[6,1,4,3,2,5]   => 265
[6,1,4,3,5,2]   => 264
[6,1,4,5,2,3]   => 265
[6,1,4,5,3,2]   => 265
[6,1,5,2,3,4]   => 265
[6,1,5,2,4,3]   => 265
[6,1,5,3,2,4]   => 265
[6,1,5,3,4,2]   => 265
[6,1,5,4,2,3]   => 264
[6,1,5,4,3,2]   => 264
[6,2,1,3,4,5]   => 264
[6,2,1,3,5,4]   => 135
[6,2,1,4,3,5]   => 135
[6,2,1,4,5,3]   => 40
[6,2,1,5,3,4]   => 264
[6,2,1,5,4,3]   => 264
[6,2,3,1,4,5]   => 135
[6,2,3,1,5,4]   => 40
[6,2,3,4,1,5]   => 40
[6,2,3,4,5,1]   => 15
[6,2,3,5,1,4]   => 135
[6,2,3,5,4,1]   => 135
[6,2,4,1,3,5]   => 264
[6,2,4,1,5,3]   => 135
[6,2,4,3,1,5]   => 264
[6,2,4,3,5,1]   => 135
[6,2,4,5,1,3]   => 264
[6,2,4,5,3,1]   => 264
[6,2,5,1,3,4]   => 264
[6,2,5,1,4,3]   => 264
[6,2,5,3,1,4]   => 264
[6,2,5,3,4,1]   => 264
[6,2,5,4,1,3]   => 135
[6,2,5,4,3,1]   => 135
[6,3,1,2,4,5]   => 265
[6,3,1,2,5,4]   => 264
[6,3,1,4,2,5]   => 264
[6,3,1,4,5,2]   => 135
[6,3,1,5,2,4]   => 265
[6,3,1,5,4,2]   => 265
[6,3,2,1,4,5]   => 265
[6,3,2,1,5,4]   => 264
[6,3,2,4,1,5]   => 264
[6,3,2,4,5,1]   => 135
[6,3,2,5,1,4]   => 265
[6,3,2,5,4,1]   => 265
[6,3,4,1,2,5]   => 265
[6,3,4,1,5,2]   => 264
[6,3,4,2,1,5]   => 265
[6,3,4,2,5,1]   => 264
[6,3,4,5,1,2]   => 265
[6,3,4,5,2,1]   => 265
[6,3,5,1,2,4]   => 265
[6,3,5,1,4,2]   => 265
[6,3,5,2,1,4]   => 265
[6,3,5,2,4,1]   => 265
[6,3,5,4,1,2]   => 264
[6,3,5,4,2,1]   => 264
[6,4,1,2,3,5]   => 265
[6,4,1,2,5,3]   => 264
[6,4,1,3,2,5]   => 265
[6,4,1,3,5,2]   => 264
[6,4,1,5,2,3]   => 265
[6,4,1,5,3,2]   => 265
[6,4,2,1,3,5]   => 265
[6,4,2,1,5,3]   => 264
[6,4,2,3,1,5]   => 265
[6,4,2,3,5,1]   => 264
[6,4,2,5,1,3]   => 265
[6,4,2,5,3,1]   => 265
[6,4,3,1,2,5]   => 264
[6,4,3,1,5,2]   => 135
[6,4,3,2,1,5]   => 264
[6,4,3,2,5,1]   => 135
[6,4,3,5,1,2]   => 264
[6,4,3,5,2,1]   => 264
[6,4,5,1,2,3]   => 265
[6,4,5,1,3,2]   => 265
[6,4,5,2,1,3]   => 265
[6,4,5,2,3,1]   => 265
[6,4,5,3,1,2]   => 265
[6,4,5,3,2,1]   => 265
[6,5,1,2,3,4]   => 265
[6,5,1,2,4,3]   => 265
[6,5,1,3,2,4]   => 265
[6,5,1,3,4,2]   => 265
[6,5,1,4,2,3]   => 264
[6,5,1,4,3,2]   => 264
[6,5,2,1,3,4]   => 265
[6,5,2,1,4,3]   => 265
[6,5,2,3,1,4]   => 265
[6,5,2,3,4,1]   => 265
[6,5,2,4,1,3]   => 264
[6,5,2,4,3,1]   => 264
[6,5,3,1,2,4]   => 264
[6,5,3,1,4,2]   => 264
[6,5,3,2,1,4]   => 264
[6,5,3,2,4,1]   => 264
[6,5,3,4,1,2]   => 135
[6,5,3,4,2,1]   => 135
[6,5,4,1,2,3]   => 265
[6,5,4,1,3,2]   => 265
[6,5,4,2,1,3]   => 265
[6,5,4,2,3,1]   => 265
[6,5,4,3,1,2]   => 265
[6,5,4,3,2,1]   => 265
[1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => 21
[1,2,3,4,6,5,7] => 21
[1,2,3,4,6,7,5] => 70
[1,2,3,4,7,5,6] => 70
[1,2,3,4,7,6,5] => 21
[1,2,3,5,4,6,7] => 21
[1,2,3,5,4,7,6] => 315
[1,2,3,5,6,4,7] => 70
[1,2,3,5,6,7,4] => 315
[1,2,3,5,7,4,6] => 315
[1,2,3,5,7,6,4] => 70
[1,2,3,6,4,5,7] => 70
[1,2,3,6,4,7,5] => 315
[1,2,3,6,5,4,7] => 21
[1,2,3,6,5,7,4] => 70
[1,2,3,6,7,4,5] => 315
[1,2,3,6,7,5,4] => 315
[1,2,3,7,4,5,6] => 315
[1,2,3,7,4,6,5] => 70
[1,2,3,7,5,4,6] => 70
[1,2,3,7,5,6,4] => 21
[1,2,3,7,6,4,5] => 315
[1,2,3,7,6,5,4] => 315
[1,2,4,3,5,6,7] => 21
[1,2,4,3,5,7,6] => 315
[1,2,4,3,6,5,7] => 315
[1,2,4,3,6,7,5] => 924
[1,2,4,3,7,5,6] => 924
[1,2,4,3,7,6,5] => 315
[1,2,4,5,3,6,7] => 70
[1,2,4,5,3,7,6] => 924
[1,2,4,5,6,3,7] => 315
[1,2,4,5,6,7,3] => 924
[1,2,4,5,7,3,6] => 924
[1,2,4,5,7,6,3] => 315
[1,2,4,6,3,5,7] => 315
[1,2,4,6,3,7,5] => 924
[1,2,4,6,5,3,7] => 70
[1,2,4,6,5,7,3] => 315
[1,2,4,6,7,3,5] => 924
[1,2,4,6,7,5,3] => 924
[1,2,4,7,3,5,6] => 924
[1,2,4,7,3,6,5] => 315
[1,2,4,7,5,3,6] => 315
[1,2,4,7,5,6,3] => 70
[1,2,4,7,6,3,5] => 924
[1,2,4,7,6,5,3] => 924
[1,2,5,3,4,6,7] => 70
[1,2,5,3,4,7,6] => 924
[1,2,5,3,6,4,7] => 315
[1,2,5,3,6,7,4] => 924
[1,2,5,3,7,4,6] => 924
[1,2,5,3,7,6,4] => 315
[1,2,5,4,3,6,7] => 21
[1,2,5,4,3,7,6] => 315
[1,2,5,4,6,3,7] => 70
[1,2,5,4,6,7,3] => 315
[1,2,5,4,7,3,6] => 315
[1,2,5,4,7,6,3] => 70
[1,2,5,6,3,4,7] => 315
[1,2,5,6,3,7,4] => 924
[1,2,5,6,4,3,7] => 315
[1,2,5,6,4,7,3] => 924
[1,2,5,6,7,3,4] => 924
[1,2,5,6,7,4,3] => 924
[1,2,5,7,3,4,6] => 924
[1,2,5,7,3,6,4] => 315
[1,2,5,7,4,3,6] => 924
[1,2,5,7,4,6,3] => 315
[1,2,5,7,6,3,4] => 924
[1,2,5,7,6,4,3] => 924
[1,2,6,3,4,5,7] => 315
[1,2,6,3,4,7,5] => 924
[1,2,6,3,5,4,7] => 70
[1,2,6,3,5,7,4] => 315
[1,2,6,3,7,4,5] => 924
[1,2,6,3,7,5,4] => 924
[1,2,6,4,3,5,7] => 70
[1,2,6,4,3,7,5] => 315
[1,2,6,4,5,3,7] => 21
[1,2,6,4,5,7,3] => 70
[1,2,6,4,7,3,5] => 315
[1,2,6,4,7,5,3] => 315
[1,2,6,5,3,4,7] => 315
[1,2,6,5,3,7,4] => 924
[1,2,6,5,4,3,7] => 315
[1,2,6,5,4,7,3] => 924
[1,2,6,5,7,3,4] => 924
[1,2,6,5,7,4,3] => 924
[1,2,6,7,3,4,5] => 924
[1,2,6,7,3,5,4] => 924
[1,2,6,7,4,3,5] => 924
[1,2,6,7,4,5,3] => 924
[1,2,6,7,5,3,4] => 315
[1,2,6,7,5,4,3] => 315
[1,2,7,3,4,5,6] => 924
[1,2,7,3,4,6,5] => 315
[1,2,7,3,5,4,6] => 315
[1,2,7,3,5,6,4] => 70
[1,2,7,3,6,4,5] => 924
[1,2,7,3,6,5,4] => 924
[1,2,7,4,3,5,6] => 315
[1,2,7,4,3,6,5] => 70
[1,2,7,4,5,3,6] => 70
[1,2,7,4,5,6,3] => 21
[1,2,7,4,6,3,5] => 315
[1,2,7,4,6,5,3] => 315
[1,2,7,5,3,4,6] => 924
[1,2,7,5,3,6,4] => 315
[1,2,7,5,4,3,6] => 924
[1,2,7,5,4,6,3] => 315
[1,2,7,5,6,3,4] => 924
[1,2,7,5,6,4,3] => 924
[1,2,7,6,3,4,5] => 924
[1,2,7,6,3,5,4] => 924
[1,2,7,6,4,3,5] => 924
[1,2,7,6,4,5,3] => 924
[1,2,7,6,5,3,4] => 315
[1,2,7,6,5,4,3] => 315
[1,3,2,4,5,6,7] => 21
[1,3,2,4,5,7,6] => 315
[1,3,2,4,6,5,7] => 315
[1,3,2,4,6,7,5] => 924
[1,3,2,4,7,5,6] => 924
[1,3,2,4,7,6,5] => 315
[1,3,2,5,4,6,7] => 315
[1,3,2,5,4,7,6] => 1855
[1,3,2,5,6,4,7] => 924
[1,3,2,5,6,7,4] => 1855
[1,3,2,5,7,4,6] => 1855
[1,3,2,5,7,6,4] => 924
[1,3,2,6,4,5,7] => 924
[1,3,2,6,4,7,5] => 1855
[1,3,2,6,5,4,7] => 315
[1,3,2,6,5,7,4] => 924
[1,3,2,6,7,4,5] => 1855
[1,3,2,6,7,5,4] => 1855
[1,3,2,7,4,5,6] => 1855
[1,3,2,7,4,6,5] => 924
[1,3,2,7,5,4,6] => 924
[1,3,2,7,5,6,4] => 315
[1,3,2,7,6,4,5] => 1855
[1,3,2,7,6,5,4] => 1855
[1,3,4,2,5,6,7] => 70
[1,3,4,2,5,7,6] => 924
[1,3,4,2,6,5,7] => 924
[1,3,4,2,6,7,5] => 1855
[1,3,4,2,7,5,6] => 1855
[1,3,4,2,7,6,5] => 924
[1,3,4,5,2,6,7] => 315
[1,3,4,5,2,7,6] => 1855
[1,3,4,5,6,2,7] => 924
[1,3,4,5,6,7,2] => 1855
[1,3,4,5,7,2,6] => 1855
[1,3,4,5,7,6,2] => 924
[1,3,4,6,2,5,7] => 924
[1,3,4,6,2,7,5] => 1855
[1,3,4,6,5,2,7] => 315
[1,3,4,6,5,7,2] => 924
[1,3,4,6,7,2,5] => 1855
[1,3,4,6,7,5,2] => 1855
[1,3,4,7,2,5,6] => 1855
[1,3,4,7,2,6,5] => 924
[1,3,4,7,5,2,6] => 924
[1,3,4,7,5,6,2] => 315
[1,3,4,7,6,2,5] => 1855
[1,3,4,7,6,5,2] => 1855
[1,3,5,2,4,6,7] => 315
[1,3,5,2,4,7,6] => 1855
[1,3,5,2,6,4,7] => 924
[1,3,5,2,6,7,4] => 1855
[1,3,5,2,7,4,6] => 1855
[1,3,5,2,7,6,4] => 924
[1,3,5,4,2,6,7] => 70
[1,3,5,4,2,7,6] => 924
[1,3,5,4,6,2,7] => 315
[1,3,5,4,6,7,2] => 924
[1,3,5,4,7,2,6] => 924
[1,3,5,4,7,6,2] => 315
[1,3,5,6,2,4,7] => 924
[1,3,5,6,2,7,4] => 1855
[1,3,5,6,4,2,7] => 924
[1,3,5,6,4,7,2] => 1855
[1,3,5,6,7,2,4] => 1855
[1,3,5,6,7,4,2] => 1855
[1,3,5,7,2,4,6] => 1855
[1,3,5,7,2,6,4] => 924
[1,3,5,7,4,2,6] => 1855
[1,3,5,7,4,6,2] => 924
[1,3,5,7,6,2,4] => 1855
[1,3,5,7,6,4,2] => 1855
[1,3,6,2,4,5,7] => 924
[1,3,6,2,4,7,5] => 1855
[1,3,6,2,5,4,7] => 315
[1,3,6,2,5,7,4] => 924
[1,3,6,2,7,4,5] => 1855
[1,3,6,2,7,5,4] => 1855
[1,3,6,4,2,5,7] => 315
[1,3,6,4,2,7,5] => 924
[1,3,6,4,5,2,7] => 70
[1,3,6,4,5,7,2] => 315
[1,3,6,4,7,2,5] => 924
[1,3,6,4,7,5,2] => 924
[1,3,6,5,2,4,7] => 924
[1,3,6,5,2,7,4] => 1855
[1,3,6,5,4,2,7] => 924
[1,3,6,5,4,7,2] => 1855
[1,3,6,5,7,2,4] => 1855
[1,3,6,5,7,4,2] => 1855
[1,3,6,7,2,4,5] => 1855
[1,3,6,7,2,5,4] => 1855
[1,3,6,7,4,2,5] => 1855
[1,3,6,7,4,5,2] => 1855
[1,3,6,7,5,2,4] => 924
[1,3,6,7,5,4,2] => 924
[1,3,7,2,4,5,6] => 1855
[1,3,7,2,4,6,5] => 924
[1,3,7,2,5,4,6] => 924
[1,3,7,2,5,6,4] => 315
[1,3,7,2,6,4,5] => 1855
[1,3,7,2,6,5,4] => 1855
[1,3,7,4,2,5,6] => 924
[1,3,7,4,2,6,5] => 315
[1,3,7,4,5,2,6] => 315
[1,3,7,4,5,6,2] => 70
[1,3,7,4,6,2,5] => 924
[1,3,7,4,6,5,2] => 924
[1,3,7,5,2,4,6] => 1855
[1,3,7,5,2,6,4] => 924
[1,3,7,5,4,2,6] => 1855
[1,3,7,5,4,6,2] => 924
[1,3,7,5,6,2,4] => 1855
[1,3,7,5,6,4,2] => 1855
[1,3,7,6,2,4,5] => 1855
[1,3,7,6,2,5,4] => 1855
[1,3,7,6,4,2,5] => 1855
[1,3,7,6,4,5,2] => 1855
[1,3,7,6,5,2,4] => 924
[1,3,7,6,5,4,2] => 924
[1,4,2,3,5,6,7] => 70
[1,4,2,3,5,7,6] => 924
[1,4,2,3,6,5,7] => 924
[1,4,2,3,6,7,5] => 1855
[1,4,2,3,7,5,6] => 1855
[1,4,2,3,7,6,5] => 924
[1,4,2,5,3,6,7] => 315
[1,4,2,5,3,7,6] => 1855
[1,4,2,5,6,3,7] => 924
[1,4,2,5,6,7,3] => 1855
[1,4,2,5,7,3,6] => 1855
[1,4,2,5,7,6,3] => 924
[1,4,2,6,3,5,7] => 924
[1,4,2,6,3,7,5] => 1855
[1,4,2,6,5,3,7] => 315
[1,4,2,6,5,7,3] => 924
[1,4,2,6,7,3,5] => 1855
[1,4,2,6,7,5,3] => 1855
[1,4,2,7,3,5,6] => 1855
[1,4,2,7,3,6,5] => 924
[1,4,2,7,5,3,6] => 924
[1,4,2,7,5,6,3] => 315
[1,4,2,7,6,3,5] => 1855
[1,4,2,7,6,5,3] => 1855
[1,4,3,2,5,6,7] => 21
[1,4,3,2,5,7,6] => 315
[1,4,3,2,6,5,7] => 315
[1,4,3,2,6,7,5] => 924
[1,4,3,2,7,5,6] => 924
[1,4,3,2,7,6,5] => 315
[1,4,3,5,2,6,7] => 70
[1,4,3,5,2,7,6] => 924
[1,4,3,5,6,2,7] => 315
[1,4,3,5,6,7,2] => 924
[1,4,3,5,7,2,6] => 924
[1,4,3,5,7,6,2] => 315
[1,4,3,6,2,5,7] => 315
[1,4,3,6,2,7,5] => 924
[1,4,3,6,5,2,7] => 70
[1,4,3,6,5,7,2] => 315
[1,4,3,6,7,2,5] => 924
[1,4,3,6,7,5,2] => 924
[1,4,3,7,2,5,6] => 924
[1,4,3,7,2,6,5] => 315
[1,4,3,7,5,2,6] => 315
[1,4,3,7,5,6,2] => 70
[1,4,3,7,6,2,5] => 924
[1,4,3,7,6,5,2] => 924
[1,4,5,2,3,6,7] => 315
[1,4,5,2,3,7,6] => 1855
[1,4,5,2,6,3,7] => 924
[1,4,5,2,6,7,3] => 1855
[1,4,5,2,7,3,6] => 1855
[1,4,5,2,7,6,3] => 924
[1,4,5,3,2,6,7] => 315
[1,4,5,3,2,7,6] => 1855
[1,4,5,3,6,2,7] => 924
[1,4,5,3,6,7,2] => 1855
[1,4,5,3,7,2,6] => 1855
[1,4,5,3,7,6,2] => 924
[1,4,5,6,2,3,7] => 924
[1,4,5,6,2,7,3] => 1855
[1,4,5,6,3,2,7] => 924
[1,4,5,6,3,7,2] => 1855
[1,4,5,6,7,2,3] => 1855
[1,4,5,6,7,3,2] => 1855
[1,4,5,7,2,3,6] => 1855
[1,4,5,7,2,6,3] => 924
[1,4,5,7,3,2,6] => 1855
[1,4,5,7,3,6,2] => 924
[1,4,5,7,6,2,3] => 1855
[1,4,5,7,6,3,2] => 1855
[1,4,6,2,3,5,7] => 924
[1,4,6,2,3,7,5] => 1855
[1,4,6,2,5,3,7] => 315
[1,4,6,2,5,7,3] => 924
[1,4,6,2,7,3,5] => 1855
[1,4,6,2,7,5,3] => 1855
[1,4,6,3,2,5,7] => 924
[1,4,6,3,2,7,5] => 1855
[1,4,6,3,5,2,7] => 315
[1,4,6,3,5,7,2] => 924
[1,4,6,3,7,2,5] => 1855
[1,4,6,3,7,5,2] => 1855
[1,4,6,5,2,3,7] => 924
[1,4,6,5,2,7,3] => 1855
[1,4,6,5,3,2,7] => 924

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Created: Apr 09, 2020 at 18:37 by Martin Rubey

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Last Updated: Apr 09, 2020 at 18:37 by Martin Rubey