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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: St000428
-----------------------------------------------------------------------------
Collection: Permutations
-----------------------------------------------------------------------------
Description: The number of occurrences of the pattern 123 or of the pattern 213 in a permutation.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(pi):
return len(pi.pattern_positions([1, 2, 3]))+len(pi.pattern_positions([2, 1, 3]))
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[1,2] => 0
[2,1] => 0
[1,2,3] => 1
[1,3,2] => 0
[2,1,3] => 1
[2,3,1] => 0
[3,1,2] => 0
[3,2,1] => 0
[1,2,3,4] => 4
[1,2,4,3] => 2
[1,3,2,4] => 3
[1,3,4,2] => 1
[1,4,2,3] => 1
[1,4,3,2] => 0
[2,1,3,4] => 4
[2,1,4,3] => 2
[2,3,1,4] => 3
[2,3,4,1] => 1
[2,4,1,3] => 1
[2,4,3,1] => 0
[3,1,2,4] => 3
[3,1,4,2] => 1
[3,2,1,4] => 3
[3,2,4,1] => 1
[3,4,1,2] => 0
[3,4,2,1] => 0
[4,1,2,3] => 1
[4,1,3,2] => 0
[4,2,1,3] => 1
[4,2,3,1] => 0
[4,3,1,2] => 0
[4,3,2,1] => 0
[1,2,3,4,5] => 10
[1,2,3,5,4] => 7
[1,2,4,3,5] => 8
[1,2,4,5,3] => 5
[1,2,5,3,4] => 5
[1,2,5,4,3] => 3
[1,3,2,4,5] => 9
[1,3,2,5,4] => 6
[1,3,4,2,5] => 7
[1,3,4,5,2] => 4
[1,3,5,2,4] => 4
[1,3,5,4,2] => 2
[1,4,2,3,5] => 7
[1,4,2,5,3] => 4
[1,4,3,2,5] => 6
[1,4,3,5,2] => 3
[1,4,5,2,3] => 2
[1,4,5,3,2] => 1
[1,5,2,3,4] => 4
[1,5,2,4,3] => 2
[1,5,3,2,4] => 3
[1,5,3,4,2] => 1
[1,5,4,2,3] => 1
[1,5,4,3,2] => 0
[2,1,3,4,5] => 10
[2,1,3,5,4] => 7
[2,1,4,3,5] => 8
[2,1,4,5,3] => 5
[2,1,5,3,4] => 5
[2,1,5,4,3] => 3
[2,3,1,4,5] => 9
[2,3,1,5,4] => 6
[2,3,4,1,5] => 7
[2,3,4,5,1] => 4
[2,3,5,1,4] => 4
[2,3,5,4,1] => 2
[2,4,1,3,5] => 7
[2,4,1,5,3] => 4
[2,4,3,1,5] => 6
[2,4,3,5,1] => 3
[2,4,5,1,3] => 2
[2,4,5,3,1] => 1
[2,5,1,3,4] => 4
[2,5,1,4,3] => 2
[2,5,3,1,4] => 3
[2,5,3,4,1] => 1
[2,5,4,1,3] => 1
[2,5,4,3,1] => 0
[3,1,2,4,5] => 9
[3,1,2,5,4] => 6
[3,1,4,2,5] => 7
[3,1,4,5,2] => 4
[3,1,5,2,4] => 4
[3,1,5,4,2] => 2
[3,2,1,4,5] => 9
[3,2,1,5,4] => 6
[3,2,4,1,5] => 7
[3,2,4,5,1] => 4
[3,2,5,1,4] => 4
[3,2,5,4,1] => 2
[3,4,1,2,5] => 6
[3,4,1,5,2] => 3
[3,4,2,1,5] => 6
[3,4,2,5,1] => 3
[3,4,5,1,2] => 1
[3,4,5,2,1] => 1
[3,5,1,2,4] => 3
[3,5,1,4,2] => 1
[3,5,2,1,4] => 3
[3,5,2,4,1] => 1
[3,5,4,1,2] => 0
[3,5,4,2,1] => 0
[4,1,2,3,5] => 7
[4,1,2,5,3] => 4
[4,1,3,2,5] => 6
[4,1,3,5,2] => 3
[4,1,5,2,3] => 2
[4,1,5,3,2] => 1
[4,2,1,3,5] => 7
[4,2,1,5,3] => 4
[4,2,3,1,5] => 6
[4,2,3,5,1] => 3
[4,2,5,1,3] => 2
[4,2,5,3,1] => 1
[4,3,1,2,5] => 6
[4,3,1,5,2] => 3
[4,3,2,1,5] => 6
[4,3,2,5,1] => 3
[4,3,5,1,2] => 1
[4,3,5,2,1] => 1
[4,5,1,2,3] => 1
[4,5,1,3,2] => 0
[4,5,2,1,3] => 1
[4,5,2,3,1] => 0
[4,5,3,1,2] => 0
[4,5,3,2,1] => 0
[5,1,2,3,4] => 4
[5,1,2,4,3] => 2
[5,1,3,2,4] => 3
[5,1,3,4,2] => 1
[5,1,4,2,3] => 1
[5,1,4,3,2] => 0
[5,2,1,3,4] => 4
[5,2,1,4,3] => 2
[5,2,3,1,4] => 3
[5,2,3,4,1] => 1
[5,2,4,1,3] => 1
[5,2,4,3,1] => 0
[5,3,1,2,4] => 3
[5,3,1,4,2] => 1
[5,3,2,1,4] => 3
[5,3,2,4,1] => 1
[5,3,4,1,2] => 0
[5,3,4,2,1] => 0
[5,4,1,2,3] => 1
[5,4,1,3,2] => 0
[5,4,2,1,3] => 1
[5,4,2,3,1] => 0
[5,4,3,1,2] => 0
[5,4,3,2,1] => 0
[1,2,3,4,5,6] => 20
[1,2,3,4,6,5] => 16
[1,2,3,5,4,6] => 17
[1,2,3,5,6,4] => 13
[1,2,3,6,4,5] => 13
[1,2,3,6,5,4] => 10
[1,2,4,3,5,6] => 18
[1,2,4,3,6,5] => 14
[1,2,4,5,3,6] => 15
[1,2,4,5,6,3] => 11
[1,2,4,6,3,5] => 11
[1,2,4,6,5,3] => 8
[1,2,5,3,4,6] => 15
[1,2,5,3,6,4] => 11
[1,2,5,4,3,6] => 13
[1,2,5,4,6,3] => 9
[1,2,5,6,3,4] => 8
[1,2,5,6,4,3] => 6
[1,2,6,3,4,5] => 11
[1,2,6,3,5,4] => 8
[1,2,6,4,3,5] => 9
[1,2,6,4,5,3] => 6
[1,2,6,5,3,4] => 6
[1,2,6,5,4,3] => 4
[1,3,2,4,5,6] => 19
[1,3,2,4,6,5] => 15
[1,3,2,5,4,6] => 16
[1,3,2,5,6,4] => 12
[1,3,2,6,4,5] => 12
[1,3,2,6,5,4] => 9
[1,3,4,2,5,6] => 17
[1,3,4,2,6,5] => 13
[1,3,4,5,2,6] => 14
[1,3,4,5,6,2] => 10
[1,3,4,6,2,5] => 10
[1,3,4,6,5,2] => 7
[1,3,5,2,4,6] => 14
[1,3,5,2,6,4] => 10
[1,3,5,4,2,6] => 12
[1,3,5,4,6,2] => 8
[1,3,5,6,2,4] => 7
[1,3,5,6,4,2] => 5
[1,3,6,2,4,5] => 10
[1,3,6,2,5,4] => 7
[1,3,6,4,2,5] => 8
[1,3,6,4,5,2] => 5
[1,3,6,5,2,4] => 5
[1,3,6,5,4,2] => 3
[1,4,2,3,5,6] => 17
[1,4,2,3,6,5] => 13
[1,4,2,5,3,6] => 14
[1,4,2,5,6,3] => 10
[1,4,2,6,3,5] => 10
[1,4,2,6,5,3] => 7
[1,4,3,2,5,6] => 16
[1,4,3,2,6,5] => 12
[1,4,3,5,2,6] => 13
[1,4,3,5,6,2] => 9
[1,4,3,6,2,5] => 9
[1,4,3,6,5,2] => 6
[1,4,5,2,3,6] => 12
[1,4,5,2,6,3] => 8
[1,4,5,3,2,6] => 11
[1,4,5,3,6,2] => 7
[1,4,5,6,2,3] => 5
[1,4,5,6,3,2] => 4
[1,4,6,2,3,5] => 8
[1,4,6,2,5,3] => 5
[1,4,6,3,2,5] => 7
[1,4,6,3,5,2] => 4
[1,4,6,5,2,3] => 3
[1,4,6,5,3,2] => 2
[1,5,2,3,4,6] => 14
[1,5,2,3,6,4] => 10
[1,5,2,4,3,6] => 12
[1,5,2,4,6,3] => 8
[1,5,2,6,3,4] => 7
[1,5,2,6,4,3] => 5
[1,5,3,2,4,6] => 13
[1,5,3,2,6,4] => 9
[1,5,3,4,2,6] => 11
[1,5,3,4,6,2] => 7
[1,5,3,6,2,4] => 6
[1,5,3,6,4,2] => 4
[1,5,4,2,3,6] => 11
[1,5,4,2,6,3] => 7
[1,5,4,3,2,6] => 10
[1,5,4,3,6,2] => 6
[1,5,4,6,2,3] => 4
[1,5,4,6,3,2] => 3
[1,5,6,2,3,4] => 5
[1,5,6,2,4,3] => 3
[1,5,6,3,2,4] => 4
[1,5,6,3,4,2] => 2
[1,5,6,4,2,3] => 2
[1,5,6,4,3,2] => 1
[1,6,2,3,4,5] => 10
[1,6,2,3,5,4] => 7
[1,6,2,4,3,5] => 8
[1,6,2,4,5,3] => 5
[1,6,2,5,3,4] => 5
[1,6,2,5,4,3] => 3
[1,6,3,2,4,5] => 9
[1,6,3,2,5,4] => 6
[1,6,3,4,2,5] => 7
[1,6,3,4,5,2] => 4
[1,6,3,5,2,4] => 4
[1,6,3,5,4,2] => 2
[1,6,4,2,3,5] => 7
[1,6,4,2,5,3] => 4
[1,6,4,3,2,5] => 6
[1,6,4,3,5,2] => 3
[1,6,4,5,2,3] => 2
[1,6,4,5,3,2] => 1
[1,6,5,2,3,4] => 4
[1,6,5,2,4,3] => 2
[1,6,5,3,2,4] => 3
[1,6,5,3,4,2] => 1
[1,6,5,4,2,3] => 1
[1,6,5,4,3,2] => 0
[2,1,3,4,5,6] => 20
[2,1,3,4,6,5] => 16
[2,1,3,5,4,6] => 17
[2,1,3,5,6,4] => 13
[2,1,3,6,4,5] => 13
[2,1,3,6,5,4] => 10
[2,1,4,3,5,6] => 18
[2,1,4,3,6,5] => 14
[2,1,4,5,3,6] => 15
[2,1,4,5,6,3] => 11
[2,1,4,6,3,5] => 11
[2,1,4,6,5,3] => 8
[2,1,5,3,4,6] => 15
[2,1,5,3,6,4] => 11
[2,1,5,4,3,6] => 13
[2,1,5,4,6,3] => 9
[2,1,5,6,3,4] => 8
[2,1,5,6,4,3] => 6
[2,1,6,3,4,5] => 11
[2,1,6,3,5,4] => 8
[2,1,6,4,3,5] => 9
[2,1,6,4,5,3] => 6
[2,1,6,5,3,4] => 6
[2,1,6,5,4,3] => 4
[2,3,1,4,5,6] => 19
[2,3,1,4,6,5] => 15
[2,3,1,5,4,6] => 16
[2,3,1,5,6,4] => 12
[2,3,1,6,4,5] => 12
[2,3,1,6,5,4] => 9
[2,3,4,1,5,6] => 17
[2,3,4,1,6,5] => 13
[2,3,4,5,1,6] => 14
[2,3,4,5,6,1] => 10
[2,3,4,6,1,5] => 10
[2,3,4,6,5,1] => 7
[2,3,5,1,4,6] => 14
[2,3,5,1,6,4] => 10
[2,3,5,4,1,6] => 12
[2,3,5,4,6,1] => 8
[2,3,5,6,1,4] => 7
[2,3,5,6,4,1] => 5
[2,3,6,1,4,5] => 10
[2,3,6,1,5,4] => 7
[2,3,6,4,1,5] => 8
[2,3,6,4,5,1] => 5
[2,3,6,5,1,4] => 5
[2,3,6,5,4,1] => 3
[2,4,1,3,5,6] => 17
[2,4,1,3,6,5] => 13
[2,4,1,5,3,6] => 14
[2,4,1,5,6,3] => 10
[2,4,1,6,3,5] => 10
[2,4,1,6,5,3] => 7
[2,4,3,1,5,6] => 16
[2,4,3,1,6,5] => 12
[2,4,3,5,1,6] => 13
[2,4,3,5,6,1] => 9
[2,4,3,6,1,5] => 9
[2,4,3,6,5,1] => 6
[2,4,5,1,3,6] => 12
[2,4,5,1,6,3] => 8
[2,4,5,3,1,6] => 11
[2,4,5,3,6,1] => 7
[2,4,5,6,1,3] => 5
[2,4,5,6,3,1] => 4
[2,4,6,1,3,5] => 8
[2,4,6,1,5,3] => 5
[2,4,6,3,1,5] => 7
[2,4,6,3,5,1] => 4
[2,4,6,5,1,3] => 3
[2,4,6,5,3,1] => 2
[2,5,1,3,4,6] => 14
[2,5,1,3,6,4] => 10
[2,5,1,4,3,6] => 12
[2,5,1,4,6,3] => 8
[2,5,1,6,3,4] => 7
[2,5,1,6,4,3] => 5
[2,5,3,1,4,6] => 13
[2,5,3,1,6,4] => 9
[2,5,3,4,1,6] => 11
[2,5,3,4,6,1] => 7
[2,5,3,6,1,4] => 6
[2,5,3,6,4,1] => 4
[2,5,4,1,3,6] => 11
[2,5,4,1,6,3] => 7
[2,5,4,3,1,6] => 10
[2,5,4,3,6,1] => 6
[2,5,4,6,1,3] => 4
[2,5,4,6,3,1] => 3
[2,5,6,1,3,4] => 5
[2,5,6,1,4,3] => 3
[2,5,6,3,1,4] => 4
[2,5,6,3,4,1] => 2
[2,5,6,4,1,3] => 2
[2,5,6,4,3,1] => 1
[2,6,1,3,4,5] => 10
[2,6,1,3,5,4] => 7
[2,6,1,4,3,5] => 8
[2,6,1,4,5,3] => 5
[2,6,1,5,3,4] => 5
[2,6,1,5,4,3] => 3
[2,6,3,1,4,5] => 9
[2,6,3,1,5,4] => 6
[2,6,3,4,1,5] => 7
[2,6,3,4,5,1] => 4
[2,6,3,5,1,4] => 4
[2,6,3,5,4,1] => 2
[2,6,4,1,3,5] => 7
[2,6,4,1,5,3] => 4
[2,6,4,3,1,5] => 6
[2,6,4,3,5,1] => 3
[2,6,4,5,1,3] => 2
[2,6,4,5,3,1] => 1
[2,6,5,1,3,4] => 4
[2,6,5,1,4,3] => 2
[2,6,5,3,1,4] => 3
[2,6,5,3,4,1] => 1
[2,6,5,4,1,3] => 1
[2,6,5,4,3,1] => 0
[3,1,2,4,5,6] => 19
[3,1,2,4,6,5] => 15
[3,1,2,5,4,6] => 16
[3,1,2,5,6,4] => 12
[3,1,2,6,4,5] => 12
[3,1,2,6,5,4] => 9
[3,1,4,2,5,6] => 17
[3,1,4,2,6,5] => 13
[3,1,4,5,2,6] => 14
[3,1,4,5,6,2] => 10
[3,1,4,6,2,5] => 10
[3,1,4,6,5,2] => 7
[3,1,5,2,4,6] => 14
[3,1,5,2,6,4] => 10
[3,1,5,4,2,6] => 12
[3,1,5,4,6,2] => 8
[3,1,5,6,2,4] => 7
[3,1,5,6,4,2] => 5
[3,1,6,2,4,5] => 10
[3,1,6,2,5,4] => 7
[3,1,6,4,2,5] => 8
[3,1,6,4,5,2] => 5
[3,1,6,5,2,4] => 5
[3,1,6,5,4,2] => 3
[3,2,1,4,5,6] => 19
[3,2,1,4,6,5] => 15
[3,2,1,5,4,6] => 16
[3,2,1,5,6,4] => 12
[3,2,1,6,4,5] => 12
[3,2,1,6,5,4] => 9
[3,2,4,1,5,6] => 17
[3,2,4,1,6,5] => 13
[3,2,4,5,1,6] => 14
[3,2,4,5,6,1] => 10
[3,2,4,6,1,5] => 10
[3,2,4,6,5,1] => 7
[3,2,5,1,4,6] => 14
[3,2,5,1,6,4] => 10
[3,2,5,4,1,6] => 12
[3,2,5,4,6,1] => 8
[3,2,5,6,1,4] => 7
[3,2,5,6,4,1] => 5
[3,2,6,1,4,5] => 10
[3,2,6,1,5,4] => 7
[3,2,6,4,1,5] => 8
[3,2,6,4,5,1] => 5
[3,2,6,5,1,4] => 5
[3,2,6,5,4,1] => 3
[3,4,1,2,5,6] => 16
[3,4,1,2,6,5] => 12
[3,4,1,5,2,6] => 13
[3,4,1,5,6,2] => 9
[3,4,1,6,2,5] => 9
[3,4,1,6,5,2] => 6
[3,4,2,1,5,6] => 16
[3,4,2,1,6,5] => 12
[3,4,2,5,1,6] => 13
[3,4,2,5,6,1] => 9
[3,4,2,6,1,5] => 9
[3,4,2,6,5,1] => 6
[3,4,5,1,2,6] => 11
[3,4,5,1,6,2] => 7
[3,4,5,2,1,6] => 11
[3,4,5,2,6,1] => 7
[3,4,5,6,1,2] => 4
[3,4,5,6,2,1] => 4
[3,4,6,1,2,5] => 7
[3,4,6,1,5,2] => 4
[3,4,6,2,1,5] => 7
[3,4,6,2,5,1] => 4
[3,4,6,5,1,2] => 2
[3,4,6,5,2,1] => 2
[3,5,1,2,4,6] => 13
[3,5,1,2,6,4] => 9
[3,5,1,4,2,6] => 11
[3,5,1,4,6,2] => 7
[3,5,1,6,2,4] => 6
[3,5,1,6,4,2] => 4
[3,5,2,1,4,6] => 13
[3,5,2,1,6,4] => 9
[3,5,2,4,1,6] => 11
[3,5,2,4,6,1] => 7
[3,5,2,6,1,4] => 6
[3,5,2,6,4,1] => 4
[3,5,4,1,2,6] => 10
[3,5,4,1,6,2] => 6
[3,5,4,2,1,6] => 10
[3,5,4,2,6,1] => 6
[3,5,4,6,1,2] => 3
[3,5,4,6,2,1] => 3
[3,5,6,1,2,4] => 4
[3,5,6,1,4,2] => 2
[3,5,6,2,1,4] => 4
[3,5,6,2,4,1] => 2
[3,5,6,4,1,2] => 1
[3,5,6,4,2,1] => 1
[3,6,1,2,4,5] => 9
[3,6,1,2,5,4] => 6
[3,6,1,4,2,5] => 7
[3,6,1,4,5,2] => 4
[3,6,1,5,2,4] => 4
[3,6,1,5,4,2] => 2
[3,6,2,1,4,5] => 9
[3,6,2,1,5,4] => 6
[3,6,2,4,1,5] => 7
[3,6,2,4,5,1] => 4
[3,6,2,5,1,4] => 4
[3,6,2,5,4,1] => 2
[3,6,4,1,2,5] => 6
[3,6,4,1,5,2] => 3
[3,6,4,2,1,5] => 6
[3,6,4,2,5,1] => 3
[3,6,4,5,1,2] => 1
[3,6,4,5,2,1] => 1
[3,6,5,1,2,4] => 3
[3,6,5,1,4,2] => 1
[3,6,5,2,1,4] => 3
[3,6,5,2,4,1] => 1
[3,6,5,4,1,2] => 0
[3,6,5,4,2,1] => 0
[4,1,2,3,5,6] => 17
[4,1,2,3,6,5] => 13
[4,1,2,5,3,6] => 14
[4,1,2,5,6,3] => 10
[4,1,2,6,3,5] => 10
[4,1,2,6,5,3] => 7
[4,1,3,2,5,6] => 16
[4,1,3,2,6,5] => 12
[4,1,3,5,2,6] => 13
[4,1,3,5,6,2] => 9
[4,1,3,6,2,5] => 9
[4,1,3,6,5,2] => 6
[4,1,5,2,3,6] => 12
[4,1,5,2,6,3] => 8
[4,1,5,3,2,6] => 11
[4,1,5,3,6,2] => 7
[4,1,5,6,2,3] => 5
[4,1,5,6,3,2] => 4
[4,1,6,2,3,5] => 8
[4,1,6,2,5,3] => 5
[4,1,6,3,2,5] => 7
[4,1,6,3,5,2] => 4
[4,1,6,5,2,3] => 3
[4,1,6,5,3,2] => 2
[4,2,1,3,5,6] => 17
[4,2,1,3,6,5] => 13
[4,2,1,5,3,6] => 14
[4,2,1,5,6,3] => 10
[4,2,1,6,3,5] => 10
[4,2,1,6,5,3] => 7
[4,2,3,1,5,6] => 16
[4,2,3,1,6,5] => 12
[4,2,3,5,1,6] => 13
[4,2,3,5,6,1] => 9
[4,2,3,6,1,5] => 9
[4,2,3,6,5,1] => 6
[4,2,5,1,3,6] => 12
[4,2,5,1,6,3] => 8
[4,2,5,3,1,6] => 11
[4,2,5,3,6,1] => 7
[4,2,5,6,1,3] => 5
[4,2,5,6,3,1] => 4
[4,2,6,1,3,5] => 8
[4,2,6,1,5,3] => 5
[4,2,6,3,1,5] => 7
[4,2,6,3,5,1] => 4
[4,2,6,5,1,3] => 3
[4,2,6,5,3,1] => 2
[4,3,1,2,5,6] => 16
[4,3,1,2,6,5] => 12
[4,3,1,5,2,6] => 13
[4,3,1,5,6,2] => 9
[4,3,1,6,2,5] => 9
[4,3,1,6,5,2] => 6
[4,3,2,1,5,6] => 16
[4,3,2,1,6,5] => 12
[4,3,2,5,1,6] => 13
[4,3,2,5,6,1] => 9
[4,3,2,6,1,5] => 9
[4,3,2,6,5,1] => 6
[4,3,5,1,2,6] => 11
[4,3,5,1,6,2] => 7
[4,3,5,2,1,6] => 11
[4,3,5,2,6,1] => 7
[4,3,5,6,1,2] => 4
[4,3,5,6,2,1] => 4
[4,3,6,1,2,5] => 7
[4,3,6,1,5,2] => 4
[4,3,6,2,1,5] => 7
[4,3,6,2,5,1] => 4
[4,3,6,5,1,2] => 2
[4,3,6,5,2,1] => 2
[4,5,1,2,3,6] => 11
[4,5,1,2,6,3] => 7
[4,5,1,3,2,6] => 10
[4,5,1,3,6,2] => 6
[4,5,1,6,2,3] => 4
[4,5,1,6,3,2] => 3
[4,5,2,1,3,6] => 11
[4,5,2,1,6,3] => 7
[4,5,2,3,1,6] => 10
[4,5,2,3,6,1] => 6
[4,5,2,6,1,3] => 4
[4,5,2,6,3,1] => 3
[4,5,3,1,2,6] => 10
[4,5,3,1,6,2] => 6
[4,5,3,2,1,6] => 10
[4,5,3,2,6,1] => 6
[4,5,3,6,1,2] => 3
[4,5,3,6,2,1] => 3
[4,5,6,1,2,3] => 2
[4,5,6,1,3,2] => 1
[4,5,6,2,1,3] => 2
[4,5,6,2,3,1] => 1
[4,5,6,3,1,2] => 1
[4,5,6,3,2,1] => 1
[4,6,1,2,3,5] => 7
[4,6,1,2,5,3] => 4
[4,6,1,3,2,5] => 6
[4,6,1,3,5,2] => 3
[4,6,1,5,2,3] => 2
[4,6,1,5,3,2] => 1
[4,6,2,1,3,5] => 7
[4,6,2,1,5,3] => 4
[4,6,2,3,1,5] => 6
[4,6,2,3,5,1] => 3
[4,6,2,5,1,3] => 2
[4,6,2,5,3,1] => 1
[4,6,3,1,2,5] => 6
[4,6,3,1,5,2] => 3
[4,6,3,2,1,5] => 6
[4,6,3,2,5,1] => 3
[4,6,3,5,1,2] => 1
[4,6,3,5,2,1] => 1
[4,6,5,1,2,3] => 1
[4,6,5,1,3,2] => 0
[4,6,5,2,1,3] => 1
[4,6,5,2,3,1] => 0
[4,6,5,3,1,2] => 0
[4,6,5,3,2,1] => 0
[5,1,2,3,4,6] => 14
[5,1,2,3,6,4] => 10
[5,1,2,4,3,6] => 12
[5,1,2,4,6,3] => 8
[5,1,2,6,3,4] => 7
[5,1,2,6,4,3] => 5
[5,1,3,2,4,6] => 13
[5,1,3,2,6,4] => 9
[5,1,3,4,2,6] => 11
[5,1,3,4,6,2] => 7
[5,1,3,6,2,4] => 6
[5,1,3,6,4,2] => 4
[5,1,4,2,3,6] => 11
[5,1,4,2,6,3] => 7
[5,1,4,3,2,6] => 10
[5,1,4,3,6,2] => 6
[5,1,4,6,2,3] => 4
[5,1,4,6,3,2] => 3
[5,1,6,2,3,4] => 5
[5,1,6,2,4,3] => 3
[5,1,6,3,2,4] => 4
[5,1,6,3,4,2] => 2
[5,1,6,4,2,3] => 2
[5,1,6,4,3,2] => 1
[5,2,1,3,4,6] => 14
[5,2,1,3,6,4] => 10
[5,2,1,4,3,6] => 12
[5,2,1,4,6,3] => 8
[5,2,1,6,3,4] => 7
[5,2,1,6,4,3] => 5
[5,2,3,1,4,6] => 13
[5,2,3,1,6,4] => 9
[5,2,3,4,1,6] => 11
[5,2,3,4,6,1] => 7
[5,2,3,6,1,4] => 6
[5,2,3,6,4,1] => 4
[5,2,4,1,3,6] => 11
[5,2,4,1,6,3] => 7
[5,2,4,3,1,6] => 10
[5,2,4,3,6,1] => 6
[5,2,4,6,1,3] => 4
[5,2,4,6,3,1] => 3
[5,2,6,1,3,4] => 5
[5,2,6,1,4,3] => 3
[5,2,6,3,1,4] => 4
[5,2,6,3,4,1] => 2
[5,2,6,4,1,3] => 2
[5,2,6,4,3,1] => 1
[5,3,1,2,4,6] => 13
[5,3,1,2,6,4] => 9
[5,3,1,4,2,6] => 11
[5,3,1,4,6,2] => 7
[5,3,1,6,2,4] => 6
[5,3,1,6,4,2] => 4
[5,3,2,1,4,6] => 13
[5,3,2,1,6,4] => 9
[5,3,2,4,1,6] => 11
[5,3,2,4,6,1] => 7
[5,3,2,6,1,4] => 6
[5,3,2,6,4,1] => 4
[5,3,4,1,2,6] => 10
[5,3,4,1,6,2] => 6
[5,3,4,2,1,6] => 10
[5,3,4,2,6,1] => 6
[5,3,4,6,1,2] => 3
[5,3,4,6,2,1] => 3
[5,3,6,1,2,4] => 4
[5,3,6,1,4,2] => 2
[5,3,6,2,1,4] => 4
[5,3,6,2,4,1] => 2
[5,3,6,4,1,2] => 1
[5,3,6,4,2,1] => 1
[5,4,1,2,3,6] => 11
[5,4,1,2,6,3] => 7
[5,4,1,3,2,6] => 10
[5,4,1,3,6,2] => 6
[5,4,1,6,2,3] => 4
[5,4,1,6,3,2] => 3
[5,4,2,1,3,6] => 11
[5,4,2,1,6,3] => 7
[5,4,2,3,1,6] => 10
[5,4,2,3,6,1] => 6
[5,4,2,6,1,3] => 4
[5,4,2,6,3,1] => 3
[5,4,3,1,2,6] => 10
[5,4,3,1,6,2] => 6
[5,4,3,2,1,6] => 10
[5,4,3,2,6,1] => 6
[5,4,3,6,1,2] => 3
[5,4,3,6,2,1] => 3
[5,4,6,1,2,3] => 2
[5,4,6,1,3,2] => 1
[5,4,6,2,1,3] => 2
[5,4,6,2,3,1] => 1
[5,4,6,3,1,2] => 1
[5,4,6,3,2,1] => 1
[5,6,1,2,3,4] => 4
[5,6,1,2,4,3] => 2
[5,6,1,3,2,4] => 3
[5,6,1,3,4,2] => 1
[5,6,1,4,2,3] => 1
[5,6,1,4,3,2] => 0
[5,6,2,1,3,4] => 4
[5,6,2,1,4,3] => 2
[5,6,2,3,1,4] => 3
[5,6,2,3,4,1] => 1
[5,6,2,4,1,3] => 1
[5,6,2,4,3,1] => 0
[5,6,3,1,2,4] => 3
[5,6,3,1,4,2] => 1
[5,6,3,2,1,4] => 3
[5,6,3,2,4,1] => 1
[5,6,3,4,1,2] => 0
[5,6,3,4,2,1] => 0
[5,6,4,1,2,3] => 1
[5,6,4,1,3,2] => 0
[5,6,4,2,1,3] => 1
[5,6,4,2,3,1] => 0
[5,6,4,3,1,2] => 0
[5,6,4,3,2,1] => 0
[6,1,2,3,4,5] => 10
[6,1,2,3,5,4] => 7
[6,1,2,4,3,5] => 8
[6,1,2,4,5,3] => 5
[6,1,2,5,3,4] => 5
[6,1,2,5,4,3] => 3
[6,1,3,2,4,5] => 9
[6,1,3,2,5,4] => 6
[6,1,3,4,2,5] => 7
[6,1,3,4,5,2] => 4
[6,1,3,5,2,4] => 4
[6,1,3,5,4,2] => 2
[6,1,4,2,3,5] => 7
[6,1,4,2,5,3] => 4
[6,1,4,3,2,5] => 6
[6,1,4,3,5,2] => 3
[6,1,4,5,2,3] => 2
[6,1,4,5,3,2] => 1
[6,1,5,2,3,4] => 4
[6,1,5,2,4,3] => 2
[6,1,5,3,2,4] => 3
[6,1,5,3,4,2] => 1
[6,1,5,4,2,3] => 1
[6,1,5,4,3,2] => 0
[6,2,1,3,4,5] => 10
[6,2,1,3,5,4] => 7
[6,2,1,4,3,5] => 8
[6,2,1,4,5,3] => 5
[6,2,1,5,3,4] => 5
[6,2,1,5,4,3] => 3
[6,2,3,1,4,5] => 9
[6,2,3,1,5,4] => 6
[6,2,3,4,1,5] => 7
[6,2,3,4,5,1] => 4
[6,2,3,5,1,4] => 4
[6,2,3,5,4,1] => 2
[6,2,4,1,3,5] => 7
[6,2,4,1,5,3] => 4
[6,2,4,3,1,5] => 6
[6,2,4,3,5,1] => 3
[6,2,4,5,1,3] => 2
[6,2,4,5,3,1] => 1
[6,2,5,1,3,4] => 4
[6,2,5,1,4,3] => 2
[6,2,5,3,1,4] => 3
[6,2,5,3,4,1] => 1
[6,2,5,4,1,3] => 1
[6,2,5,4,3,1] => 0
[6,3,1,2,4,5] => 9
[6,3,1,2,5,4] => 6
[6,3,1,4,2,5] => 7
[6,3,1,4,5,2] => 4
[6,3,1,5,2,4] => 4
[6,3,1,5,4,2] => 2
[6,3,2,1,4,5] => 9
[6,3,2,1,5,4] => 6
[6,3,2,4,1,5] => 7
[6,3,2,4,5,1] => 4
[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] => 3
[6,3,4,2,1,5] => 6
[6,3,4,2,5,1] => 3
[6,3,4,5,1,2] => 1
[6,3,4,5,2,1] => 1
[6,3,5,1,2,4] => 3
[6,3,5,1,4,2] => 1
[6,3,5,2,1,4] => 3
[6,3,5,2,4,1] => 1
[6,3,5,4,1,2] => 0
[6,3,5,4,2,1] => 0
[6,4,1,2,3,5] => 7
[6,4,1,2,5,3] => 4
[6,4,1,3,2,5] => 6
[6,4,1,3,5,2] => 3
[6,4,1,5,2,3] => 2
[6,4,1,5,3,2] => 1
[6,4,2,1,3,5] => 7
[6,4,2,1,5,3] => 4
[6,4,2,3,1,5] => 6
[6,4,2,3,5,1] => 3
[6,4,2,5,1,3] => 2
[6,4,2,5,3,1] => 1
[6,4,3,1,2,5] => 6
[6,4,3,1,5,2] => 3
[6,4,3,2,1,5] => 6
[6,4,3,2,5,1] => 3
[6,4,3,5,1,2] => 1
[6,4,3,5,2,1] => 1
[6,4,5,1,2,3] => 1
[6,4,5,1,3,2] => 0
[6,4,5,2,1,3] => 1
[6,4,5,2,3,1] => 0
[6,4,5,3,1,2] => 0
[6,4,5,3,2,1] => 0
[6,5,1,2,3,4] => 4
[6,5,1,2,4,3] => 2
[6,5,1,3,2,4] => 3
[6,5,1,3,4,2] => 1
[6,5,1,4,2,3] => 1
[6,5,1,4,3,2] => 0
[6,5,2,1,3,4] => 4
[6,5,2,1,4,3] => 2
[6,5,2,3,1,4] => 3
[6,5,2,3,4,1] => 1
[6,5,2,4,1,3] => 1
[6,5,2,4,3,1] => 0
[6,5,3,1,2,4] => 3
[6,5,3,1,4,2] => 1
[6,5,3,2,1,4] => 3
[6,5,3,2,4,1] => 1
[6,5,3,4,1,2] => 0
[6,5,3,4,2,1] => 0
[6,5,4,1,2,3] => 1
[6,5,4,1,3,2] => 0
[6,5,4,2,1,3] => 1
[6,5,4,2,3,1] => 0
[6,5,4,3,1,2] => 0
[6,5,4,3,2,1] => 0
[1,2,3,4,5,6,7] => 35
[1,2,3,4,5,7,6] => 30
[1,2,3,4,6,5,7] => 31
[1,2,3,4,6,7,5] => 26
[1,2,3,4,7,5,6] => 26
[1,2,3,4,7,6,5] => 22
[1,2,3,5,4,6,7] => 32
[1,2,3,5,4,7,6] => 27
[1,2,3,5,6,4,7] => 28
[1,2,3,5,6,7,4] => 23
[1,2,3,5,7,4,6] => 23
[1,2,3,5,7,6,4] => 19
[1,2,3,6,4,5,7] => 28
[1,2,3,6,4,7,5] => 23
[1,2,3,6,5,4,7] => 25
[1,2,3,6,5,7,4] => 20
[1,2,3,6,7,4,5] => 19
[1,2,3,6,7,5,4] => 16
[1,2,3,7,4,5,6] => 23
[1,2,3,7,4,6,5] => 19
[1,2,3,7,5,4,6] => 20
[1,2,3,7,5,6,4] => 16
[1,2,3,7,6,4,5] => 16
[1,2,3,7,6,5,4] => 13
[1,2,4,3,5,6,7] => 33
[1,2,4,3,5,7,6] => 28
[1,2,4,3,6,5,7] => 29
[1,2,4,3,6,7,5] => 24
[1,2,4,3,7,5,6] => 24
[1,2,4,3,7,6,5] => 20
[1,2,4,5,3,6,7] => 30
[1,2,4,5,3,7,6] => 25
[1,2,4,5,6,3,7] => 26
[1,2,4,5,6,7,3] => 21
[1,2,4,5,7,3,6] => 21
[1,2,4,5,7,6,3] => 17
[1,2,4,6,3,5,7] => 26
[1,2,4,6,3,7,5] => 21
[1,2,4,6,5,3,7] => 23
[1,2,4,6,5,7,3] => 18
[1,2,4,6,7,3,5] => 17
[1,2,4,6,7,5,3] => 14
[1,2,4,7,3,5,6] => 21
[1,2,4,7,3,6,5] => 17
[1,2,4,7,5,3,6] => 18
[1,2,4,7,5,6,3] => 14
[1,2,4,7,6,3,5] => 14
[1,2,4,7,6,5,3] => 11
[1,2,5,3,4,6,7] => 30
[1,2,5,3,4,7,6] => 25
[1,2,5,3,6,4,7] => 26
[1,2,5,3,6,7,4] => 21
[1,2,5,3,7,4,6] => 21
[1,2,5,3,7,6,4] => 17
[1,2,5,4,3,6,7] => 28
[1,2,5,4,3,7,6] => 23
[1,2,5,4,6,3,7] => 24
[1,2,5,4,6,7,3] => 19
[1,2,5,4,7,3,6] => 19
[1,2,5,4,7,6,3] => 15
[1,2,5,6,3,4,7] => 23
[1,2,5,6,3,7,4] => 18
[1,2,5,6,4,3,7] => 21
[1,2,5,6,4,7,3] => 16
[1,2,5,6,7,3,4] => 14
[1,2,5,6,7,4,3] => 12
[1,2,5,7,3,4,6] => 18
[1,2,5,7,3,6,4] => 14
[1,2,5,7,4,3,6] => 16
[1,2,5,7,4,6,3] => 12
[1,2,5,7,6,3,4] => 11
[1,2,5,7,6,4,3] => 9
[1,2,6,3,4,5,7] => 26
[1,2,6,3,4,7,5] => 21
[1,2,6,3,5,4,7] => 23
[1,2,6,3,5,7,4] => 18
[1,2,6,3,7,4,5] => 17
[1,2,6,3,7,5,4] => 14
[1,2,6,4,3,5,7] => 24
[1,2,6,4,3,7,5] => 19
[1,2,6,4,5,3,7] => 21
[1,2,6,4,5,7,3] => 16
[1,2,6,4,7,3,5] => 15
[1,2,6,4,7,5,3] => 12
[1,2,6,5,3,4,7] => 21
[1,2,6,5,3,7,4] => 16
[1,2,6,5,4,3,7] => 19
[1,2,6,5,4,7,3] => 14
[1,2,6,5,7,3,4] => 12
[1,2,6,5,7,4,3] => 10
[1,2,6,7,3,4,5] => 14
[1,2,6,7,3,5,4] => 11
[1,2,6,7,4,3,5] => 12
[1,2,6,7,4,5,3] => 9
[1,2,6,7,5,3,4] => 9
[1,2,6,7,5,4,3] => 7
[1,2,7,3,4,5,6] => 21
[1,2,7,3,4,6,5] => 17
[1,2,7,3,5,4,6] => 18
[1,2,7,3,5,6,4] => 14
[1,2,7,3,6,4,5] => 14
[1,2,7,3,6,5,4] => 11
[1,2,7,4,3,5,6] => 19
[1,2,7,4,3,6,5] => 15
[1,2,7,4,5,3,6] => 16
[1,2,7,4,5,6,3] => 12
[1,2,7,4,6,3,5] => 12
[1,2,7,4,6,5,3] => 9
[1,2,7,5,3,4,6] => 16
[1,2,7,5,3,6,4] => 12
[1,2,7,5,4,3,6] => 14
[1,2,7,5,4,6,3] => 10
[1,2,7,5,6,3,4] => 9
[1,2,7,5,6,4,3] => 7
[1,2,7,6,3,4,5] => 12
[1,2,7,6,3,5,4] => 9
[1,2,7,6,4,3,5] => 10
[1,2,7,6,4,5,3] => 7
[1,2,7,6,5,3,4] => 7
[1,2,7,6,5,4,3] => 5
[1,3,2,4,5,6,7] => 34
[1,3,2,4,5,7,6] => 29
[1,3,2,4,6,5,7] => 30
[1,3,2,4,6,7,5] => 25
[1,3,2,4,7,5,6] => 25
[1,3,2,4,7,6,5] => 21
[1,3,2,5,4,6,7] => 31
[1,3,2,5,4,7,6] => 26
[1,3,2,5,6,4,7] => 27
[1,3,2,5,6,7,4] => 22
[1,3,2,5,7,4,6] => 22
[1,3,2,5,7,6,4] => 18
[1,3,2,6,4,5,7] => 27
[1,3,2,6,4,7,5] => 22
[1,3,2,6,5,4,7] => 24
[1,3,2,6,5,7,4] => 19
[1,3,2,6,7,4,5] => 18
[1,3,2,6,7,5,4] => 15
[1,3,2,7,4,5,6] => 22
[1,3,2,7,4,6,5] => 18
[1,3,2,7,5,4,6] => 19
[1,3,2,7,5,6,4] => 15
[1,3,2,7,6,4,5] => 15
[1,3,2,7,6,5,4] => 12
[1,3,4,2,5,6,7] => 32
[1,3,4,2,5,7,6] => 27
[1,3,4,2,6,5,7] => 28
[1,3,4,2,6,7,5] => 23
[1,3,4,2,7,5,6] => 23
[1,3,4,2,7,6,5] => 19
[1,3,4,5,2,6,7] => 29
[1,3,4,5,2,7,6] => 24
[1,3,4,5,6,2,7] => 25
[1,3,4,5,6,7,2] => 20
[1,3,4,5,7,2,6] => 20
[1,3,4,5,7,6,2] => 16
[1,3,4,6,2,5,7] => 25
[1,3,4,6,2,7,5] => 20
[1,3,4,6,5,2,7] => 22
[1,3,4,6,5,7,2] => 17
[1,3,4,6,7,2,5] => 16
[1,3,4,6,7,5,2] => 13
[1,3,4,7,2,5,6] => 20
[1,3,4,7,2,6,5] => 16
[1,3,4,7,5,2,6] => 17
[1,3,4,7,5,6,2] => 13
[1,3,4,7,6,2,5] => 13
[1,3,4,7,6,5,2] => 10
[1,3,5,2,4,6,7] => 29
[1,3,5,2,4,7,6] => 24
[1,3,5,2,6,4,7] => 25
[1,3,5,2,6,7,4] => 20
[1,3,5,2,7,4,6] => 20
[1,3,5,2,7,6,4] => 16
[1,3,5,4,2,6,7] => 27
[1,3,5,4,2,7,6] => 22
[1,3,5,4,6,2,7] => 23
[1,3,5,4,6,7,2] => 18
[1,3,5,4,7,2,6] => 18
[1,3,5,4,7,6,2] => 14
[1,3,5,6,2,4,7] => 22
[1,3,5,6,2,7,4] => 17
[1,3,5,6,4,2,7] => 20
[1,3,5,6,4,7,2] => 15
[1,3,5,6,7,2,4] => 13
[1,3,5,6,7,4,2] => 11
[1,3,5,7,2,4,6] => 17
[1,3,5,7,2,6,4] => 13
[1,3,5,7,4,2,6] => 15
[1,3,5,7,4,6,2] => 11
[1,3,5,7,6,2,4] => 10
[1,3,5,7,6,4,2] => 8
[1,3,6,2,4,5,7] => 25
[1,3,6,2,4,7,5] => 20
[1,3,6,2,5,4,7] => 22
[1,3,6,2,5,7,4] => 17
[1,3,6,2,7,4,5] => 16
[1,3,6,2,7,5,4] => 13
[1,3,6,4,2,5,7] => 23
[1,3,6,4,2,7,5] => 18
[1,3,6,4,5,2,7] => 20
[1,3,6,4,5,7,2] => 15
[1,3,6,4,7,2,5] => 14
[1,3,6,4,7,5,2] => 11
[1,3,6,5,2,4,7] => 20
[1,3,6,5,2,7,4] => 15
[1,3,6,5,4,2,7] => 18
[1,3,6,5,4,7,2] => 13
[1,3,6,5,7,2,4] => 11
[1,3,6,5,7,4,2] => 9
[1,3,6,7,2,4,5] => 13
[1,3,6,7,2,5,4] => 10
[1,3,6,7,4,2,5] => 11
[1,3,6,7,4,5,2] => 8
[1,3,6,7,5,2,4] => 8
[1,3,6,7,5,4,2] => 6
[1,3,7,2,4,5,6] => 20
[1,3,7,2,4,6,5] => 16
[1,3,7,2,5,4,6] => 17
[1,3,7,2,5,6,4] => 13
[1,3,7,2,6,4,5] => 13
[1,3,7,2,6,5,4] => 10
[1,3,7,4,2,5,6] => 18
[1,3,7,4,2,6,5] => 14
[1,3,7,4,5,2,6] => 15
[1,3,7,4,5,6,2] => 11
[1,3,7,4,6,2,5] => 11
[1,3,7,4,6,5,2] => 8
[1,3,7,5,2,4,6] => 15
[1,3,7,5,2,6,4] => 11
[1,3,7,5,4,2,6] => 13
[1,3,7,5,4,6,2] => 9
[1,3,7,5,6,2,4] => 8
[1,3,7,5,6,4,2] => 6
[1,3,7,6,2,4,5] => 11
[1,3,7,6,2,5,4] => 8
[1,3,7,6,4,2,5] => 9
[1,3,7,6,4,5,2] => 6
[1,3,7,6,5,2,4] => 6
[1,3,7,6,5,4,2] => 4
[1,4,2,3,5,6,7] => 32
[1,4,2,3,5,7,6] => 27
[1,4,2,3,6,5,7] => 28
[1,4,2,3,6,7,5] => 23
[1,4,2,3,7,5,6] => 23
[1,4,2,3,7,6,5] => 19
[1,4,2,5,3,6,7] => 29
[1,4,2,5,3,7,6] => 24
[1,4,2,5,6,3,7] => 25
[1,4,2,5,6,7,3] => 20
[1,4,2,5,7,3,6] => 20
[1,4,2,5,7,6,3] => 16
[1,4,2,6,3,5,7] => 25
[1,4,2,6,3,7,5] => 20
[1,4,2,6,5,3,7] => 22
[1,4,2,6,5,7,3] => 17
[1,4,2,6,7,3,5] => 16
[1,4,2,6,7,5,3] => 13
[1,4,2,7,3,5,6] => 20
[1,4,2,7,3,6,5] => 16
[1,4,2,7,5,3,6] => 17
[1,4,2,7,5,6,3] => 13
[1,4,2,7,6,3,5] => 13
[1,4,2,7,6,5,3] => 10
[1,4,3,2,5,6,7] => 31
[1,4,3,2,5,7,6] => 26
[1,4,3,2,6,5,7] => 27
[1,4,3,2,6,7,5] => 22
[1,4,3,2,7,5,6] => 22
[1,4,3,2,7,6,5] => 18
[1,4,3,5,2,6,7] => 28
[1,4,3,5,2,7,6] => 23
[1,4,3,5,6,2,7] => 24
[1,4,3,5,6,7,2] => 19
[1,4,3,5,7,2,6] => 19
[1,4,3,5,7,6,2] => 15
[1,4,3,6,2,5,7] => 24
[1,4,3,6,2,7,5] => 19
[1,4,3,6,5,2,7] => 21
[1,4,3,6,5,7,2] => 16
[1,4,3,6,7,2,5] => 15
[1,4,3,6,7,5,2] => 12
[1,4,3,7,2,5,6] => 19
[1,4,3,7,2,6,5] => 15
[1,4,3,7,5,2,6] => 16
[1,4,3,7,5,6,2] => 12
[1,4,3,7,6,2,5] => 12
[1,4,3,7,6,5,2] => 9
[1,4,5,2,3,6,7] => 27
[1,4,5,2,3,7,6] => 22
[1,4,5,2,6,3,7] => 23
[1,4,5,2,6,7,3] => 18
[1,4,5,2,7,3,6] => 18
[1,4,5,2,7,6,3] => 14
[1,4,5,3,2,6,7] => 26
[1,4,5,3,2,7,6] => 21
[1,4,5,3,6,2,7] => 22
[1,4,5,3,6,7,2] => 17
[1,4,5,3,7,2,6] => 17
[1,4,5,3,7,6,2] => 13
[1,4,5,6,2,3,7] => 20
[1,4,5,6,2,7,3] => 15
[1,4,5,6,3,2,7] => 19
[1,4,5,6,3,7,2] => 14
[1,4,5,6,7,2,3] => 11
[1,4,5,6,7,3,2] => 10
[1,4,5,7,2,3,6] => 15
[1,4,5,7,2,6,3] => 11
[1,4,5,7,3,2,6] => 14
[1,4,5,7,3,6,2] => 10
[1,4,5,7,6,2,3] => 8
[1,4,5,7,6,3,2] => 7
[1,4,6,2,3,5,7] => 23
[1,4,6,2,3,7,5] => 18
[1,4,6,2,5,3,7] => 20
[1,4,6,2,5,7,3] => 15
[1,4,6,2,7,3,5] => 14
[1,4,6,2,7,5,3] => 11
[1,4,6,3,2,5,7] => 22
[1,4,6,3,2,7,5] => 17
[1,4,6,3,5,2,7] => 19
[1,4,6,3,5,7,2] => 14
[1,4,6,3,7,2,5] => 13
[1,4,6,3,7,5,2] => 10
[1,4,6,5,2,3,7] => 18
[1,4,6,5,2,7,3] => 13
[1,4,6,5,3,2,7] => 17
[1,4,6,5,3,7,2] => 12
-----------------------------------------------------------------------------
Created: Feb 26, 2016 at 12:42 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: May 10, 2019 at 17:34 by Henning Ulfarsson