*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St001428
-----------------------------------------------------------------------------
Collection: Signed permutations
-----------------------------------------------------------------------------
Description: The number of B-inversions of a signed permutation.
The number of B-inversions of a signed permutation $\sigma$ of length $n$ is
$$
\operatorname{inv}_B(\sigma) = \big|\{ 1 \leq i < j \leq n \mid \sigma(i) > \sigma(j) \}\big| + \big|\{ 1 \leq i \leq j \leq n \mid \sigma(-i) > \sigma(j) \}\big|,
$$
see [1, Eq. (8.2)]. According to [1, Eq. (8.4)], this is the Coxeter length of $\sigma$.
-----------------------------------------------------------------------------
References: [1] Björner, A., Brenti, F. Combinatorics of Coxeter groups [[MathSciNet:2133266]]
-----------------------------------------------------------------------------
Code:
def statistic(pi):
pi = list(pi)
n = len(pi)
return (sum(1 for i in range(n) for j in range(i+1,n) if pi[i] > pi[j]) +
sum(1 for i in range(n) for j in range(i ,n) if -pi[i] > pi[j]))
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[-1] => 1
[1,2] => 0
[1,-2] => 3
[-1,2] => 1
[-1,-2] => 4
[2,1] => 1
[2,-1] => 2
[-2,1] => 2
[-2,-1] => 3
[1,2,3] => 0
[1,2,-3] => 5
[1,-2,3] => 3
[1,-2,-3] => 8
[-1,2,3] => 1
[-1,2,-3] => 6
[-1,-2,3] => 4
[-1,-2,-3] => 9
[1,3,2] => 1
[1,3,-2] => 4
[1,-3,2] => 4
[1,-3,-2] => 7
[-1,3,2] => 2
[-1,3,-2] => 5
[-1,-3,2] => 5
[-1,-3,-2] => 8
[2,1,3] => 1
[2,1,-3] => 6
[2,-1,3] => 2
[2,-1,-3] => 7
[-2,1,3] => 2
[-2,1,-3] => 7
[-2,-1,3] => 3
[-2,-1,-3] => 8
[2,3,1] => 2
[2,3,-1] => 3
[2,-3,1] => 5
[2,-3,-1] => 6
[-2,3,1] => 3
[-2,3,-1] => 4
[-2,-3,1] => 6
[-2,-3,-1] => 7
[3,1,2] => 2
[3,1,-2] => 5
[3,-1,2] => 3
[3,-1,-2] => 6
[-3,1,2] => 3
[-3,1,-2] => 6
[-3,-1,2] => 4
[-3,-1,-2] => 7
[3,2,1] => 3
[3,2,-1] => 4
[3,-2,1] => 4
[3,-2,-1] => 5
[-3,2,1] => 4
[-3,2,-1] => 5
[-3,-2,1] => 5
[-3,-2,-1] => 6
[1,2,3,4] => 0
[1,2,3,-4] => 7
[1,2,-3,4] => 5
[1,2,-3,-4] => 12
[1,-2,3,4] => 3
[1,-2,3,-4] => 10
[1,-2,-3,4] => 8
[1,-2,-3,-4] => 15
[-1,2,3,4] => 1
[-1,2,3,-4] => 8
[-1,2,-3,4] => 6
[-1,2,-3,-4] => 13
[-1,-2,3,4] => 4
[-1,-2,3,-4] => 11
[-1,-2,-3,4] => 9
[-1,-2,-3,-4] => 16
[1,2,4,3] => 1
[1,2,4,-3] => 6
[1,2,-4,3] => 6
[1,2,-4,-3] => 11
[1,-2,4,3] => 4
[1,-2,4,-3] => 9
[1,-2,-4,3] => 9
[1,-2,-4,-3] => 14
[-1,2,4,3] => 2
[-1,2,4,-3] => 7
[-1,2,-4,3] => 7
[-1,2,-4,-3] => 12
[-1,-2,4,3] => 5
[-1,-2,4,-3] => 10
[-1,-2,-4,3] => 10
[-1,-2,-4,-3] => 15
[1,3,2,4] => 1
[1,3,2,-4] => 8
[1,3,-2,4] => 4
[1,3,-2,-4] => 11
[1,-3,2,4] => 4
[1,-3,2,-4] => 11
[1,-3,-2,4] => 7
[1,-3,-2,-4] => 14
[-1,3,2,4] => 2
[-1,3,2,-4] => 9
[-1,3,-2,4] => 5
[-1,3,-2,-4] => 12
[-1,-3,2,4] => 5
[-1,-3,2,-4] => 12
[-1,-3,-2,4] => 8
[-1,-3,-2,-4] => 15
[1,3,4,2] => 2
[1,3,4,-2] => 5
[1,3,-4,2] => 7
[1,3,-4,-2] => 10
[1,-3,4,2] => 5
[1,-3,4,-2] => 8
[1,-3,-4,2] => 10
[1,-3,-4,-2] => 13
[-1,3,4,2] => 3
[-1,3,4,-2] => 6
[-1,3,-4,2] => 8
[-1,3,-4,-2] => 11
[-1,-3,4,2] => 6
[-1,-3,4,-2] => 9
[-1,-3,-4,2] => 11
[-1,-3,-4,-2] => 14
[1,4,2,3] => 2
[1,4,2,-3] => 7
[1,4,-2,3] => 5
[1,4,-2,-3] => 10
[1,-4,2,3] => 5
[1,-4,2,-3] => 10
[1,-4,-2,3] => 8
[1,-4,-2,-3] => 13
[-1,4,2,3] => 3
[-1,4,2,-3] => 8
[-1,4,-2,3] => 6
[-1,4,-2,-3] => 11
[-1,-4,2,3] => 6
[-1,-4,2,-3] => 11
[-1,-4,-2,3] => 9
[-1,-4,-2,-3] => 14
[1,4,3,2] => 3
[1,4,3,-2] => 6
[1,4,-3,2] => 6
[1,4,-3,-2] => 9
[1,-4,3,2] => 6
[1,-4,3,-2] => 9
[1,-4,-3,2] => 9
[1,-4,-3,-2] => 12
[-1,4,3,2] => 4
[-1,4,3,-2] => 7
[-1,4,-3,2] => 7
[-1,4,-3,-2] => 10
[-1,-4,3,2] => 7
[-1,-4,3,-2] => 10
[-1,-4,-3,2] => 10
[-1,-4,-3,-2] => 13
[2,1,3,4] => 1
[2,1,3,-4] => 8
[2,1,-3,4] => 6
[2,1,-3,-4] => 13
[2,-1,3,4] => 2
[2,-1,3,-4] => 9
[2,-1,-3,4] => 7
[2,-1,-3,-4] => 14
[-2,1,3,4] => 2
[-2,1,3,-4] => 9
[-2,1,-3,4] => 7
[-2,1,-3,-4] => 14
[-2,-1,3,4] => 3
[-2,-1,3,-4] => 10
[-2,-1,-3,4] => 8
[-2,-1,-3,-4] => 15
[2,1,4,3] => 2
[2,1,4,-3] => 7
[2,1,-4,3] => 7
[2,1,-4,-3] => 12
[2,-1,4,3] => 3
[2,-1,4,-3] => 8
[2,-1,-4,3] => 8
[2,-1,-4,-3] => 13
[-2,1,4,3] => 3
[-2,1,4,-3] => 8
[-2,1,-4,3] => 8
[-2,1,-4,-3] => 13
[-2,-1,4,3] => 4
[-2,-1,4,-3] => 9
[-2,-1,-4,3] => 9
[-2,-1,-4,-3] => 14
[2,3,1,4] => 2
[2,3,1,-4] => 9
[2,3,-1,4] => 3
[2,3,-1,-4] => 10
[2,-3,1,4] => 5
[2,-3,1,-4] => 12
[2,-3,-1,4] => 6
[2,-3,-1,-4] => 13
[-2,3,1,4] => 3
[-2,3,1,-4] => 10
[-2,3,-1,4] => 4
[-2,3,-1,-4] => 11
[-2,-3,1,4] => 6
[-2,-3,1,-4] => 13
[-2,-3,-1,4] => 7
[-2,-3,-1,-4] => 14
[2,3,4,1] => 3
[2,3,4,-1] => 4
[2,3,-4,1] => 8
[2,3,-4,-1] => 9
[2,-3,4,1] => 6
[2,-3,4,-1] => 7
[2,-3,-4,1] => 11
[2,-3,-4,-1] => 12
[-2,3,4,1] => 4
[-2,3,4,-1] => 5
[-2,3,-4,1] => 9
[-2,3,-4,-1] => 10
[-2,-3,4,1] => 7
[-2,-3,4,-1] => 8
[-2,-3,-4,1] => 12
[-2,-3,-4,-1] => 13
[2,4,1,3] => 3
[2,4,1,-3] => 8
[2,4,-1,3] => 4
[2,4,-1,-3] => 9
[2,-4,1,3] => 6
[2,-4,1,-3] => 11
[2,-4,-1,3] => 7
[2,-4,-1,-3] => 12
[-2,4,1,3] => 4
[-2,4,1,-3] => 9
[-2,4,-1,3] => 5
[-2,4,-1,-3] => 10
[-2,-4,1,3] => 7
[-2,-4,1,-3] => 12
[-2,-4,-1,3] => 8
[-2,-4,-1,-3] => 13
[2,4,3,1] => 4
[2,4,3,-1] => 5
[2,4,-3,1] => 7
[2,4,-3,-1] => 8
[2,-4,3,1] => 7
[2,-4,3,-1] => 8
[2,-4,-3,1] => 10
[2,-4,-3,-1] => 11
[-2,4,3,1] => 5
[-2,4,3,-1] => 6
[-2,4,-3,1] => 8
[-2,4,-3,-1] => 9
[-2,-4,3,1] => 8
[-2,-4,3,-1] => 9
[-2,-4,-3,1] => 11
[-2,-4,-3,-1] => 12
[3,1,2,4] => 2
[3,1,2,-4] => 9
[3,1,-2,4] => 5
[3,1,-2,-4] => 12
[3,-1,2,4] => 3
[3,-1,2,-4] => 10
[3,-1,-2,4] => 6
[3,-1,-2,-4] => 13
[-3,1,2,4] => 3
[-3,1,2,-4] => 10
[-3,1,-2,4] => 6
[-3,1,-2,-4] => 13
[-3,-1,2,4] => 4
[-3,-1,2,-4] => 11
[-3,-1,-2,4] => 7
[-3,-1,-2,-4] => 14
[3,1,4,2] => 3
[3,1,4,-2] => 6
[3,1,-4,2] => 8
[3,1,-4,-2] => 11
[3,-1,4,2] => 4
[3,-1,4,-2] => 7
[3,-1,-4,2] => 9
[3,-1,-4,-2] => 12
[-3,1,4,2] => 4
[-3,1,4,-2] => 7
[-3,1,-4,2] => 9
[-3,1,-4,-2] => 12
[-3,-1,4,2] => 5
[-3,-1,4,-2] => 8
[-3,-1,-4,2] => 10
[-3,-1,-4,-2] => 13
[3,2,1,4] => 3
[3,2,1,-4] => 10
[3,2,-1,4] => 4
[3,2,-1,-4] => 11
[3,-2,1,4] => 4
[3,-2,1,-4] => 11
[3,-2,-1,4] => 5
[3,-2,-1,-4] => 12
[-3,2,1,4] => 4
[-3,2,1,-4] => 11
[-3,2,-1,4] => 5
[-3,2,-1,-4] => 12
[-3,-2,1,4] => 5
[-3,-2,1,-4] => 12
[-3,-2,-1,4] => 6
[-3,-2,-1,-4] => 13
[3,2,4,1] => 4
[3,2,4,-1] => 5
[3,2,-4,1] => 9
[3,2,-4,-1] => 10
[3,-2,4,1] => 5
[3,-2,4,-1] => 6
[3,-2,-4,1] => 10
[3,-2,-4,-1] => 11
[-3,2,4,1] => 5
[-3,2,4,-1] => 6
[-3,2,-4,1] => 10
[-3,2,-4,-1] => 11
[-3,-2,4,1] => 6
[-3,-2,4,-1] => 7
[-3,-2,-4,1] => 11
[-3,-2,-4,-1] => 12
[3,4,1,2] => 4
[3,4,1,-2] => 7
[3,4,-1,2] => 5
[3,4,-1,-2] => 8
[3,-4,1,2] => 7
[3,-4,1,-2] => 10
[3,-4,-1,2] => 8
[3,-4,-1,-2] => 11
[-3,4,1,2] => 5
[-3,4,1,-2] => 8
[-3,4,-1,2] => 6
[-3,4,-1,-2] => 9
[-3,-4,1,2] => 8
[-3,-4,1,-2] => 11
[-3,-4,-1,2] => 9
[-3,-4,-1,-2] => 12
[3,4,2,1] => 5
[3,4,2,-1] => 6
[3,4,-2,1] => 6
[3,4,-2,-1] => 7
[3,-4,2,1] => 8
[3,-4,2,-1] => 9
[3,-4,-2,1] => 9
[3,-4,-2,-1] => 10
[-3,4,2,1] => 6
[-3,4,2,-1] => 7
[-3,4,-2,1] => 7
[-3,4,-2,-1] => 8
[-3,-4,2,1] => 9
[-3,-4,2,-1] => 10
[-3,-4,-2,1] => 10
[-3,-4,-2,-1] => 11
[4,1,2,3] => 3
[4,1,2,-3] => 8
[4,1,-2,3] => 6
[4,1,-2,-3] => 11
[4,-1,2,3] => 4
[4,-1,2,-3] => 9
[4,-1,-2,3] => 7
[4,-1,-2,-3] => 12
[-4,1,2,3] => 4
[-4,1,2,-3] => 9
[-4,1,-2,3] => 7
[-4,1,-2,-3] => 12
[-4,-1,2,3] => 5
[-4,-1,2,-3] => 10
[-4,-1,-2,3] => 8
[-4,-1,-2,-3] => 13
[4,1,3,2] => 4
[4,1,3,-2] => 7
[4,1,-3,2] => 7
[4,1,-3,-2] => 10
[4,-1,3,2] => 5
[4,-1,3,-2] => 8
[4,-1,-3,2] => 8
[4,-1,-3,-2] => 11
[-4,1,3,2] => 5
[-4,1,3,-2] => 8
[-4,1,-3,2] => 8
[-4,1,-3,-2] => 11
[-4,-1,3,2] => 6
[-4,-1,3,-2] => 9
[-4,-1,-3,2] => 9
[-4,-1,-3,-2] => 12
[4,2,1,3] => 4
[4,2,1,-3] => 9
[4,2,-1,3] => 5
[4,2,-1,-3] => 10
[4,-2,1,3] => 5
[4,-2,1,-3] => 10
[4,-2,-1,3] => 6
[4,-2,-1,-3] => 11
[-4,2,1,3] => 5
[-4,2,1,-3] => 10
[-4,2,-1,3] => 6
[-4,2,-1,-3] => 11
[-4,-2,1,3] => 6
[-4,-2,1,-3] => 11
[-4,-2,-1,3] => 7
[-4,-2,-1,-3] => 12
[4,2,3,1] => 5
[4,2,3,-1] => 6
[4,2,-3,1] => 8
[4,2,-3,-1] => 9
[4,-2,3,1] => 6
[4,-2,3,-1] => 7
[4,-2,-3,1] => 9
[4,-2,-3,-1] => 10
[-4,2,3,1] => 6
[-4,2,3,-1] => 7
[-4,2,-3,1] => 9
[-4,2,-3,-1] => 10
[-4,-2,3,1] => 7
[-4,-2,3,-1] => 8
[-4,-2,-3,1] => 10
[-4,-2,-3,-1] => 11
[4,3,1,2] => 5
[4,3,1,-2] => 8
[4,3,-1,2] => 6
[4,3,-1,-2] => 9
[4,-3,1,2] => 6
[4,-3,1,-2] => 9
[4,-3,-1,2] => 7
[4,-3,-1,-2] => 10
[-4,3,1,2] => 6
[-4,3,1,-2] => 9
[-4,3,-1,2] => 7
[-4,3,-1,-2] => 10
[-4,-3,1,2] => 7
[-4,-3,1,-2] => 10
[-4,-3,-1,2] => 8
[-4,-3,-1,-2] => 11
[4,3,2,1] => 6
[4,3,2,-1] => 7
[4,3,-2,1] => 7
[4,3,-2,-1] => 8
[4,-3,2,1] => 7
[4,-3,2,-1] => 8
[4,-3,-2,1] => 8
[4,-3,-2,-1] => 9
[-4,3,2,1] => 7
[-4,3,2,-1] => 8
[-4,3,-2,1] => 8
[-4,3,-2,-1] => 9
[-4,-3,2,1] => 8
[-4,-3,2,-1] => 9
[-4,-3,-2,1] => 9
[-4,-3,-2,-1] => 10
[1,2,3,4,5] => 0
[1,2,3,4,-5] => 9
[-1,2,3,4,5] => 1
[1,2,3,5,4] => 1
[1,2,3,5,-4] => 8
[-1,2,3,5,4] => 2
[1,2,4,3,5] => 1
[1,2,4,3,-5] => 10
[-1,2,4,3,5] => 2
[1,2,4,5,3] => 2
[1,2,4,5,-3] => 7
[-1,2,4,5,3] => 3
[1,2,5,3,4] => 2
[1,2,5,3,-4] => 9
[-1,2,5,3,4] => 3
[1,2,5,4,3] => 3
[1,2,5,4,-3] => 8
[-1,2,5,4,3] => 4
[1,3,2,4,5] => 1
[1,3,2,4,-5] => 10
[-1,3,2,4,5] => 2
[1,3,2,5,4] => 2
[1,3,2,5,-4] => 9
[-1,3,2,5,4] => 3
[1,3,4,2,5] => 2
[1,3,4,2,-5] => 11
[-1,3,4,2,5] => 3
[1,3,4,5,2] => 3
[1,3,4,5,-2] => 6
[-1,3,4,5,2] => 4
[1,3,5,2,4] => 3
[1,3,5,2,-4] => 10
[-1,3,5,2,4] => 4
[1,3,5,4,2] => 4
[1,3,5,4,-2] => 7
[-1,3,5,4,2] => 5
[1,4,2,3,5] => 2
[1,4,2,3,-5] => 11
[-1,4,2,3,5] => 3
[1,4,2,5,3] => 3
[1,4,2,5,-3] => 8
[-1,4,2,5,3] => 4
[1,4,3,2,5] => 3
[1,4,3,2,-5] => 12
[-1,4,3,2,5] => 4
[1,4,3,5,2] => 4
[1,4,3,5,-2] => 7
[-1,4,3,5,2] => 5
[1,4,5,2,3] => 4
[1,4,5,2,-3] => 9
[-1,4,5,2,3] => 5
[1,4,5,3,2] => 5
[1,4,5,3,-2] => 8
[-1,4,5,3,2] => 6
[1,5,2,3,4] => 3
[1,5,2,3,-4] => 10
[-1,5,2,3,4] => 4
[1,5,2,4,3] => 4
[1,5,2,4,-3] => 9
[-1,5,2,4,3] => 5
[1,5,3,2,4] => 4
[1,5,3,2,-4] => 11
[-1,5,3,2,4] => 5
[1,5,3,4,2] => 5
[1,5,3,4,-2] => 8
[-1,5,3,4,2] => 6
[1,5,4,2,3] => 5
[1,5,4,2,-3] => 10
[-1,5,4,2,3] => 6
[1,5,4,3,2] => 6
[1,5,4,3,-2] => 9
[-1,5,4,3,2] => 7
[2,1,3,4,5] => 1
[2,1,3,4,-5] => 10
[2,-1,3,4,5] => 2
[2,1,3,5,4] => 2
[2,1,3,5,-4] => 9
[2,-1,3,5,4] => 3
[2,1,4,3,5] => 2
[2,1,4,3,-5] => 11
[2,-1,4,3,5] => 3
[2,1,4,5,3] => 3
[2,1,4,5,-3] => 8
[2,-1,4,5,3] => 4
[2,1,5,3,4] => 3
[2,1,5,3,-4] => 10
[2,-1,5,3,4] => 4
[2,1,5,4,3] => 4
[2,1,5,4,-3] => 9
[2,-1,5,4,3] => 5
[2,3,1,4,5] => 2
[2,3,1,4,-5] => 11
[2,3,-1,4,5] => 3
[2,3,1,5,4] => 3
[2,3,1,5,-4] => 10
[2,3,-1,5,4] => 4
[2,3,4,1,5] => 3
[2,3,4,1,-5] => 12
[2,3,4,-1,5] => 4
[2,3,4,5,1] => 4
[2,3,4,5,-1] => 5
[2,3,5,1,4] => 4
[2,3,5,1,-4] => 11
[2,3,5,-1,4] => 5
[2,3,5,4,1] => 5
[2,3,5,4,-1] => 6
[2,4,1,3,5] => 3
[2,4,1,3,-5] => 12
[2,4,-1,3,5] => 4
[2,4,1,5,3] => 4
[2,4,1,5,-3] => 9
[2,4,-1,5,3] => 5
[2,4,3,1,5] => 4
[2,4,3,1,-5] => 13
[2,4,3,-1,5] => 5
[2,4,3,5,1] => 5
[2,4,3,5,-1] => 6
[2,4,5,1,3] => 5
[2,4,5,1,-3] => 10
[2,4,5,-1,3] => 6
[2,4,5,3,1] => 6
[2,4,5,3,-1] => 7
[2,5,1,3,4] => 4
[2,5,1,3,-4] => 11
[2,5,-1,3,4] => 5
[2,5,1,4,3] => 5
[2,5,1,4,-3] => 10
[2,5,-1,4,3] => 6
[2,5,3,1,4] => 5
[2,5,3,1,-4] => 12
[2,5,3,-1,4] => 6
[2,5,3,4,1] => 6
[2,5,3,4,-1] => 7
[2,5,4,1,3] => 6
[2,5,4,1,-3] => 11
[2,5,4,-1,3] => 7
[2,5,4,3,1] => 7
[2,5,4,3,-1] => 8
[3,1,2,4,5] => 2
[3,1,2,4,-5] => 11
[3,-1,2,4,5] => 3
[3,1,2,5,4] => 3
[3,1,2,5,-4] => 10
[3,-1,2,5,4] => 4
[3,1,4,2,5] => 3
[3,1,4,2,-5] => 12
[3,-1,4,2,5] => 4
[3,1,4,5,2] => 4
[3,1,4,5,-2] => 7
[3,-1,4,5,2] => 5
[3,1,5,2,4] => 4
[3,1,5,2,-4] => 11
[3,-1,5,2,4] => 5
[3,1,5,4,2] => 5
[3,1,5,4,-2] => 8
[3,-1,5,4,2] => 6
[3,2,1,4,5] => 3
[3,2,1,4,-5] => 12
[3,2,-1,4,5] => 4
[3,2,1,5,4] => 4
[3,2,1,5,-4] => 11
[3,2,-1,5,4] => 5
[3,2,4,1,5] => 4
[3,2,4,1,-5] => 13
[3,2,4,-1,5] => 5
[3,2,4,5,1] => 5
[3,2,4,5,-1] => 6
[3,2,5,1,4] => 5
[3,2,5,1,-4] => 12
[3,2,5,-1,4] => 6
[3,2,5,4,1] => 6
[3,2,5,4,-1] => 7
[3,4,1,2,5] => 4
[3,4,1,2,-5] => 13
[3,4,-1,2,5] => 5
[3,4,1,5,2] => 5
[3,4,1,5,-2] => 8
[3,4,-1,5,2] => 6
[3,4,2,1,5] => 5
[3,4,2,1,-5] => 14
[3,4,2,-1,5] => 6
[3,4,2,5,1] => 6
[3,4,2,5,-1] => 7
[3,4,5,1,2] => 6
[3,4,5,1,-2] => 9
[3,4,5,-1,2] => 7
[3,4,5,2,1] => 7
[3,4,5,2,-1] => 8
[3,5,1,2,4] => 5
[3,5,1,2,-4] => 12
[3,5,-1,2,4] => 6
[3,5,1,4,2] => 6
[3,5,1,4,-2] => 9
[3,5,-1,4,2] => 7
[3,5,2,1,4] => 6
[3,5,2,1,-4] => 13
[3,5,2,-1,4] => 7
[3,5,2,4,1] => 7
[3,5,2,4,-1] => 8
[3,5,4,1,2] => 7
[3,5,4,1,-2] => 10
[3,5,4,-1,2] => 8
[3,5,4,2,1] => 8
[3,5,4,2,-1] => 9
[4,1,2,3,5] => 3
[4,1,2,3,-5] => 12
[4,-1,2,3,5] => 4
[4,1,2,5,3] => 4
[4,1,2,5,-3] => 9
[4,-1,2,5,3] => 5
[4,1,3,2,5] => 4
[4,1,3,2,-5] => 13
[4,-1,3,2,5] => 5
[4,1,3,5,2] => 5
[4,1,3,5,-2] => 8
[4,-1,3,5,2] => 6
[4,1,5,2,3] => 5
[4,1,5,2,-3] => 10
[4,-1,5,2,3] => 6
[4,1,5,3,2] => 6
[4,1,5,3,-2] => 9
[4,-1,5,3,2] => 7
[4,2,1,3,5] => 4
[4,2,1,3,-5] => 13
[4,2,-1,3,5] => 5
[4,2,1,5,3] => 5
[4,2,1,5,-3] => 10
[4,2,-1,5,3] => 6
[4,2,3,1,5] => 5
[4,2,3,1,-5] => 14
[4,2,3,-1,5] => 6
[4,2,3,5,1] => 6
[4,2,3,5,-1] => 7
[4,2,5,1,3] => 6
[4,2,5,1,-3] => 11
[4,2,5,-1,3] => 7
[4,2,5,3,1] => 7
[4,2,5,3,-1] => 8
[4,3,1,2,5] => 5
[4,3,1,2,-5] => 14
[4,3,-1,2,5] => 6
[4,3,1,5,2] => 6
[4,3,1,5,-2] => 9
[4,3,-1,5,2] => 7
[4,3,2,1,5] => 6
[4,3,2,1,-5] => 15
[4,3,2,-1,5] => 7
[4,3,2,5,1] => 7
[4,3,2,5,-1] => 8
[4,3,5,1,2] => 7
[4,3,5,1,-2] => 10
[4,3,5,-1,2] => 8
[4,3,5,2,1] => 8
[4,3,5,2,-1] => 9
[4,5,1,2,3] => 6
[4,5,1,2,-3] => 11
[4,5,-1,2,3] => 7
[4,5,1,3,2] => 7
[4,5,1,3,-2] => 10
[4,5,-1,3,2] => 8
[4,5,2,1,3] => 7
[4,5,2,1,-3] => 12
[4,5,2,-1,3] => 8
[4,5,2,3,1] => 8
[4,5,2,3,-1] => 9
[4,5,3,1,2] => 8
[4,5,3,1,-2] => 11
[4,5,3,-1,2] => 9
[4,5,3,2,1] => 9
[4,5,3,2,-1] => 10
[5,1,2,3,4] => 4
[5,1,2,3,-4] => 11
[5,-1,2,3,4] => 5
[5,1,2,4,3] => 5
[5,1,2,4,-3] => 10
[5,-1,2,4,3] => 6
[5,1,3,2,4] => 5
[5,1,3,2,-4] => 12
[5,-1,3,2,4] => 6
[5,1,3,4,2] => 6
[5,1,3,4,-2] => 9
[5,-1,3,4,2] => 7
[5,1,4,2,3] => 6
[5,1,4,2,-3] => 11
[5,-1,4,2,3] => 7
[5,1,4,3,2] => 7
[5,1,4,3,-2] => 10
[5,-1,4,3,2] => 8
[5,2,1,3,4] => 5
[5,2,1,3,-4] => 12
[5,2,-1,3,4] => 6
[5,2,1,4,3] => 6
[5,2,1,4,-3] => 11
[5,2,-1,4,3] => 7
[5,2,3,1,4] => 6
[5,2,3,1,-4] => 13
[5,2,3,-1,4] => 7
[5,2,3,4,1] => 7
[5,2,3,4,-1] => 8
[5,2,4,1,3] => 7
[5,2,4,1,-3] => 12
[5,2,4,-1,3] => 8
[5,2,4,3,1] => 8
[5,2,4,3,-1] => 9
[5,3,1,2,4] => 6
[5,3,1,2,-4] => 13
[5,3,-1,2,4] => 7
[5,3,1,4,2] => 7
[5,3,1,4,-2] => 10
[5,3,-1,4,2] => 8
[5,3,2,1,4] => 7
[5,3,2,1,-4] => 14
[5,3,2,-1,4] => 8
[5,3,2,4,1] => 8
[5,3,2,4,-1] => 9
[5,3,4,1,2] => 8
[5,3,4,1,-2] => 11
[5,3,4,-1,2] => 9
[5,3,4,2,1] => 9
[5,3,4,2,-1] => 10
[5,4,1,2,3] => 7
[5,4,1,2,-3] => 12
[5,4,-1,2,3] => 8
[5,4,1,3,2] => 8
[5,4,1,3,-2] => 11
[5,4,-1,3,2] => 9
[5,4,2,1,3] => 8
[5,4,2,1,-3] => 13
[5,4,2,-1,3] => 9
[5,4,2,3,1] => 9
[5,4,2,3,-1] => 10
[5,4,3,1,2] => 9
[5,4,3,1,-2] => 12
[5,4,3,-1,2] => 10
[5,4,3,2,1] => 10
[5,4,3,2,-1] => 11
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => 2
[1,2,3,6,4,5] => 2
[1,2,3,6,5,4] => 3
[1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => 2
[1,2,4,5,6,3] => 3
[1,2,4,6,3,5] => 3
[1,2,4,6,5,3] => 4
[1,2,5,3,4,6] => 2
[1,2,5,3,6,4] => 3
[1,2,5,4,3,6] => 3
[1,2,5,4,6,3] => 4
[1,2,5,6,3,4] => 4
[1,2,5,6,4,3] => 5
[1,2,6,3,4,5] => 3
[1,2,6,4,5,3] => 5
[1,2,6,5,4,3] => 6
[1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => 3
[1,3,2,6,4,5] => 3
[1,3,2,6,5,4] => 4
[1,3,4,2,5,6] => 2
[1,3,4,2,6,5] => 3
[1,3,4,5,2,6] => 3
[1,3,4,5,6,2] => 4
[1,3,4,6,2,5] => 4
[1,3,4,6,5,2] => 5
[1,3,5,2,4,6] => 3
[1,3,5,2,6,4] => 4
[1,3,5,4,2,6] => 4
[1,3,5,4,6,2] => 5
[1,3,5,6,2,4] => 5
[1,3,5,6,4,2] => 6
[1,3,6,2,4,5] => 4
[1,3,6,4,5,2] => 6
[1,3,6,5,4,2] => 7
[1,4,2,3,5,6] => 2
[1,4,2,3,6,5] => 3
[1,4,2,5,3,6] => 3
[1,4,2,5,6,3] => 4
[1,4,2,6,3,5] => 4
[1,4,3,2,5,6] => 3
[1,4,3,2,6,5] => 4
[1,4,3,5,2,6] => 4
[1,4,3,5,6,2] => 5
[1,4,3,6,5,2] => 6
[1,4,5,2,3,6] => 4
[1,4,5,2,6,3] => 5
[1,4,5,3,2,6] => 5
[1,4,5,3,6,2] => 6
[1,4,5,6,2,3] => 6
[1,4,5,6,3,2] => 7
[1,4,6,2,3,5] => 5
[1,4,6,5,3,2] => 8
[1,5,2,3,4,6] => 3
[1,5,2,3,6,4] => 4
[1,5,2,6,3,4] => 5
[1,5,3,4,2,6] => 5
[1,5,3,4,6,2] => 6
[1,5,4,3,2,6] => 6
[1,5,4,3,6,2] => 7
[1,5,4,6,3,2] => 8
[1,5,6,2,3,4] => 6
[1,5,6,4,3,2] => 9
[1,6,2,3,4,5] => 4
[1,6,3,4,5,2] => 7
[1,6,3,5,4,2] => 8
[1,6,4,3,5,2] => 8
[1,6,4,5,3,2] => 9
[1,6,5,4,3,2] => 10
[2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => 3
[2,1,3,6,4,5] => 3
[2,1,3,6,5,4] => 4
[2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => 3
[2,1,4,5,3,6] => 3
[2,1,4,5,6,3] => 4
[2,1,4,6,3,5] => 4
[2,1,4,6,5,3] => 5
[2,1,5,3,4,6] => 3
[2,1,5,3,6,4] => 4
[2,1,5,4,3,6] => 4
[2,1,5,4,6,3] => 5
[2,1,5,6,3,4] => 5
[2,1,5,6,4,3] => 6
[2,1,6,3,4,5] => 4
[2,1,6,4,5,3] => 6
[2,1,6,5,4,3] => 7
[2,3,1,4,5,6] => 2
[2,3,1,4,6,5] => 3
[2,3,1,5,4,6] => 3
[2,3,1,5,6,4] => 4
[2,3,1,6,4,5] => 4
[2,3,1,6,5,4] => 5
[2,3,4,1,5,6] => 3
[2,3,4,1,6,5] => 4
[2,3,4,5,1,6] => 4
[2,3,4,5,6,1] => 5
[2,3,4,6,1,5] => 5
[2,3,4,6,5,1] => 6
[2,3,5,1,4,6] => 4
[2,3,5,1,6,4] => 5
[2,3,5,4,1,6] => 5
[2,3,5,4,6,1] => 6
[2,3,5,6,1,4] => 6
[2,3,5,6,4,1] => 7
[2,3,6,1,4,5] => 5
[2,3,6,4,5,1] => 7
[2,3,6,5,4,1] => 8
[2,4,1,3,5,6] => 3
[2,4,1,3,6,5] => 4
[2,4,1,5,3,6] => 4
[2,4,1,5,6,3] => 5
[2,4,1,6,3,5] => 5
[2,4,3,1,5,6] => 4
[2,4,3,1,6,5] => 5
[2,4,3,5,1,6] => 5
[2,4,3,5,6,1] => 6
[2,4,3,6,5,1] => 7
[2,4,5,1,3,6] => 5
[2,4,5,1,6,3] => 6
[2,4,5,3,1,6] => 6
[2,4,5,3,6,1] => 7
[2,4,5,6,1,3] => 7
[2,4,5,6,3,1] => 8
[2,4,6,1,3,5] => 6
[2,4,6,5,3,1] => 9
[2,5,1,3,4,6] => 4
[2,5,1,3,6,4] => 5
[2,5,1,6,3,4] => 6
[2,5,3,4,1,6] => 6
[2,5,3,4,6,1] => 7
[2,5,4,3,1,6] => 7
[2,5,4,3,6,1] => 8
[2,5,4,6,3,1] => 9
[2,5,6,1,3,4] => 7
[2,5,6,4,3,1] => 10
[2,6,1,3,4,5] => 5
[2,6,3,4,5,1] => 8
[2,6,3,5,4,1] => 9
[2,6,4,3,5,1] => 9
[2,6,4,5,3,1] => 10
[2,6,5,4,3,1] => 11
[3,1,2,4,5,6] => 2
[3,1,2,4,6,5] => 3
[3,1,2,5,4,6] => 3
[3,1,2,5,6,4] => 4
[3,1,2,6,4,5] => 4
[3,1,4,2,5,6] => 3
[3,1,4,2,6,5] => 4
[3,1,4,5,2,6] => 4
[3,1,4,5,6,2] => 5
[3,1,4,6,2,5] => 5
[3,1,5,2,4,6] => 4
[3,1,5,2,6,4] => 5
[3,1,5,6,2,4] => 6
[3,1,6,2,4,5] => 5
[3,2,1,4,5,6] => 3
[3,2,1,4,6,5] => 4
[3,2,1,5,4,6] => 4
[3,2,1,5,6,4] => 5
[3,2,1,6,5,4] => 6
[3,2,4,1,5,6] => 4
[3,2,4,1,6,5] => 5
[3,2,4,5,1,6] => 5
[3,2,4,5,6,1] => 6
[3,2,4,6,5,1] => 7
[3,2,5,1,4,6] => 5
[3,2,5,4,1,6] => 6
[3,2,5,4,6,1] => 7
[3,2,5,6,4,1] => 8
[3,2,6,1,4,5] => 6
[3,2,6,4,5,1] => 8
[3,2,6,5,4,1] => 9
[3,4,1,2,5,6] => 4
[3,4,1,2,6,5] => 5
[3,4,1,5,2,6] => 5
[3,4,1,5,6,2] => 6
[3,4,1,6,2,5] => 6
[3,4,2,1,5,6] => 5
[3,4,2,1,6,5] => 6
[3,4,2,5,1,6] => 6
[3,4,2,5,6,1] => 7
[3,4,2,6,5,1] => 8
[3,4,5,1,2,6] => 6
[3,4,5,1,6,2] => 7
[3,4,5,2,1,6] => 7
[3,4,5,2,6,1] => 8
[3,4,5,6,1,2] => 8
[3,4,5,6,2,1] => 9
[3,4,6,1,2,5] => 7
[3,4,6,5,2,1] => 10
[3,5,1,2,4,6] => 5
[3,5,1,2,6,4] => 6
[3,5,1,6,2,4] => 7
[3,5,4,2,1,6] => 8
[3,5,4,2,6,1] => 9
[3,5,4,6,2,1] => 10
[3,5,6,1,2,4] => 8
[3,5,6,4,2,1] => 11
[3,6,1,2,4,5] => 6
[3,6,1,5,4,2] => 9
[3,6,2,5,1,4] => 9
[3,6,5,4,2,1] => 12
[4,1,2,3,5,6] => 3
[4,1,2,3,6,5] => 4
[4,1,2,5,3,6] => 4
[4,1,2,5,6,3] => 5
[4,1,2,6,3,5] => 5
[4,1,5,2,3,6] => 5
[4,1,5,2,6,3] => 6
[4,1,5,6,2,3] => 7
[4,1,6,2,3,5] => 6
[4,2,1,3,5,6] => 4
[4,2,3,1,5,6] => 5
[4,2,3,1,6,5] => 6
[4,2,3,5,1,6] => 6
[4,2,3,5,6,1] => 7
[4,2,3,6,5,1] => 8
[4,2,5,1,3,6] => 6
[4,2,6,1,3,5] => 7
[4,3,1,2,5,6] => 5
[4,3,2,1,5,6] => 6
[4,3,2,1,6,5] => 7
[4,3,2,5,1,6] => 7
[4,3,2,5,6,1] => 8
[4,3,2,6,1,5] => 8
[4,3,2,6,5,1] => 9
[4,3,5,1,2,6] => 7
[4,3,5,2,1,6] => 8
[4,3,5,2,6,1] => 9
[4,3,5,6,1,2] => 9
[4,3,5,6,2,1] => 10
[4,3,6,1,2,5] => 8
[4,3,6,5,2,1] => 11
[4,5,1,2,3,6] => 6
[4,5,1,2,6,3] => 7
[4,5,1,6,2,3] => 8
[4,5,2,1,3,6] => 7
[4,5,2,3,1,6] => 8
[4,5,2,3,6,1] => 9
[4,5,3,1,2,6] => 8
[4,5,3,2,1,6] => 9
[4,5,3,2,6,1] => 10
[4,5,3,6,1,2] => 10
[4,5,3,6,2,1] => 11
[4,5,6,1,2,3] => 9
[4,5,6,2,1,3] => 10
[4,5,6,2,3,1] => 11
[4,5,6,3,1,2] => 11
[4,5,6,3,2,1] => 12
[4,6,1,2,3,5] => 7
[4,6,2,5,1,3] => 10
[4,6,3,5,1,2] => 11
[4,6,5,1,3,2] => 11
[4,6,5,3,2,1] => 13
[5,1,2,3,4,6] => 4
[5,1,2,3,6,4] => 5
[5,1,2,6,3,4] => 6
[5,1,6,2,3,4] => 7
[5,2,1,3,4,6] => 5
[5,2,3,1,4,6] => 6
[5,2,3,4,1,6] => 7
[5,2,3,4,6,1] => 8
[5,2,4,1,3,6] => 7
[5,2,4,3,1,6] => 8
[5,2,4,3,6,1] => 9
[5,2,6,1,3,4] => 8
[5,3,1,2,4,6] => 6
[5,3,2,1,4,6] => 7
[5,3,2,4,1,6] => 8
[5,3,2,4,6,1] => 9
[5,3,2,6,1,4] => 9
[5,3,4,1,2,6] => 8
[5,3,4,2,1,6] => 9
[5,3,4,2,6,1] => 10
[5,3,4,6,1,2] => 10
[5,3,4,6,2,1] => 11
[5,3,6,1,2,4] => 9
[5,4,1,2,3,6] => 7
[5,4,2,1,3,6] => 8
[5,4,2,3,1,6] => 9
[5,4,2,3,6,1] => 10
[5,4,2,6,1,3] => 10
[5,4,3,1,2,6] => 9
[5,4,3,2,1,6] => 10
[5,4,3,2,6,1] => 11
[5,4,3,6,1,2] => 11
[5,4,3,6,2,1] => 12
[5,4,6,1,2,3] => 10
[5,4,6,2,1,3] => 11
[5,4,6,2,3,1] => 12
[5,4,6,3,1,2] => 12
[5,4,6,3,2,1] => 13
[5,6,1,2,3,4] => 8
[5,6,2,1,3,4] => 9
[5,6,2,3,1,4] => 10
[5,6,2,3,4,1] => 11
[5,6,2,4,1,3] => 11
[5,6,3,1,2,4] => 10
[5,6,3,2,1,4] => 11
[5,6,3,2,4,1] => 12
[5,6,3,4,1,2] => 12
[5,6,3,4,2,1] => 13
[5,6,4,1,2,3] => 11
[5,6,4,2,1,3] => 12
[5,6,4,2,3,1] => 13
[5,6,4,3,1,2] => 13
[5,6,4,3,2,1] => 14
[6,1,2,3,4,5] => 5
[6,2,1,3,4,5] => 6
[6,2,3,1,4,5] => 7
[6,2,3,4,1,5] => 8
[6,2,3,4,5,1] => 9
[6,2,3,5,4,1] => 10
[6,2,4,1,3,5] => 8
[6,2,4,3,5,1] => 10
[6,2,4,5,3,1] => 11
[6,2,5,1,3,4] => 9
[6,2,5,4,3,1] => 12
[6,3,1,2,4,5] => 7
[6,3,2,1,4,5] => 8
[6,3,2,4,1,5] => 9
[6,3,2,4,5,1] => 10
[6,3,2,5,1,4] => 10
[6,3,2,5,4,1] => 11
[6,3,4,1,2,5] => 9
[6,3,4,2,1,5] => 10
[6,3,4,2,5,1] => 11
[6,3,4,5,1,2] => 11
[6,3,4,5,2,1] => 12
[6,3,5,1,2,4] => 10
[6,3,5,4,2,1] => 13
[6,4,1,2,3,5] => 8
[6,4,2,1,3,5] => 9
[6,4,2,3,1,5] => 10
[6,4,2,3,5,1] => 11
[6,4,2,5,1,3] => 11
[6,4,3,1,2,5] => 10
[6,4,3,2,1,5] => 11
[6,4,3,2,5,1] => 12
[6,4,3,5,1,2] => 12
[6,4,3,5,2,1] => 13
[6,4,5,1,2,3] => 11
[6,4,5,2,1,3] => 12
[6,4,5,2,3,1] => 13
[6,4,5,3,1,2] => 13
[6,4,5,3,2,1] => 14
[6,5,1,2,3,4] => 9
[6,5,2,1,3,4] => 10
[6,5,2,3,1,4] => 11
[6,5,2,3,4,1] => 12
[6,5,2,4,1,3] => 12
[6,5,3,1,2,4] => 11
[6,5,3,2,1,4] => 12
[6,5,3,2,4,1] => 13
[6,5,3,4,1,2] => 13
[6,5,3,4,2,1] => 14
[6,5,4,1,2,3] => 12
[6,5,4,2,1,3] => 13
[6,5,4,2,3,1] => 14
[6,5,4,3,1,2] => 14
[6,5,4,3,2,1] => 15
[2,1,4,3,6,5,8,7] => 4
[3,4,1,2,6,5,8,7] => 6
[4,5,6,1,2,3,8,7] => 10
[3,5,1,6,2,4,8,7] => 8
[2,1,5,6,3,4,8,7] => 6
[5,6,7,8,1,2,3,4] => 16
[4,6,7,1,8,2,3,5] => 14
[3,6,1,7,8,2,4,5] => 12
[2,1,6,7,8,3,4,5] => 10
[2,1,5,7,3,8,4,6] => 8
[3,5,1,7,2,8,4,6] => 10
[4,5,7,1,2,8,3,6] => 12
[3,4,1,2,7,8,5,6] => 8
[2,1,4,3,7,8,5,6] => 6
[4,3,2,1,6,5,8,7] => 8
[5,3,2,6,1,4,8,7] => 10
[6,3,2,5,4,1,8,7] => 12
[7,3,2,5,4,8,1,6] => 14
[8,3,2,5,4,7,6,1] => 16
[8,4,5,2,3,7,6,1] => 18
[7,4,5,2,3,8,1,6] => 16
[6,4,5,2,3,1,8,7] => 14
[5,4,6,2,1,3,8,7] => 12
[2,1,6,5,4,3,8,7] => 8
[3,6,1,5,4,2,8,7] => 10
[4,6,5,1,3,2,8,7] => 12
[5,6,4,3,1,2,8,7] => 14
[6,5,4,3,2,1,8,7] => 16
[7,5,4,3,2,8,1,6] => 18
[8,5,4,3,2,7,6,1] => 20
[8,6,4,3,7,2,5,1] => 22
[7,6,4,3,8,2,1,5] => 20
[6,7,4,3,8,1,2,5] => 18
[5,7,4,3,1,8,2,6] => 16
[4,7,5,1,3,8,2,6] => 14
[3,7,1,5,4,8,2,6] => 12
[2,1,7,5,4,8,3,6] => 10
[2,1,8,5,4,7,6,3] => 12
[3,8,1,5,4,7,6,2] => 14
[4,8,5,1,3,7,6,2] => 16
[5,8,4,3,1,7,6,2] => 18
[6,8,4,3,7,1,5,2] => 20
[7,8,4,3,6,5,1,2] => 22
[8,7,4,3,6,5,2,1] => 24
[8,7,5,6,3,4,2,1] => 26
[7,8,5,6,3,4,1,2] => 24
[6,8,5,7,3,1,4,2] => 22
[5,8,6,7,1,3,4,2] => 20
[4,8,6,1,7,3,5,2] => 18
[3,8,1,6,7,4,5,2] => 16
[2,1,8,6,7,4,5,3] => 14
[2,1,7,6,8,4,3,5] => 12
[3,7,1,6,8,4,2,5] => 14
[4,7,6,1,8,3,2,5] => 16
[5,7,6,8,1,3,2,4] => 18
[6,7,5,8,3,1,2,4] => 20
[7,6,5,8,3,2,1,4] => 22
[8,6,5,7,3,2,4,1] => 24
[8,5,6,7,2,3,4,1] => 22
[7,5,6,8,2,3,1,4] => 20
[6,5,7,8,2,1,3,4] => 18
[5,4,7,2,1,8,3,6] => 14
[6,4,7,2,8,1,3,5] => 16
[7,4,6,2,8,3,1,5] => 18
[8,4,6,2,7,3,5,1] => 20
[8,3,2,6,7,4,5,1] => 18
[7,3,2,6,8,4,1,5] => 16
[6,3,2,7,8,1,4,5] => 14
[5,3,2,7,1,8,4,6] => 12
[4,3,2,1,7,8,5,6] => 10
[2,1,4,3,8,7,6,5] => 8
[3,4,1,2,8,7,6,5] => 10
[4,3,2,1,8,7,6,5] => 12
[5,3,2,8,1,7,6,4] => 14
[6,3,2,8,7,1,5,4] => 16
[7,3,2,8,6,5,1,4] => 18
[8,3,2,7,6,5,4,1] => 20
[8,4,7,2,6,5,3,1] => 22
[7,4,8,2,6,5,1,3] => 20
[6,4,8,2,7,1,5,3] => 18
[5,4,8,2,1,7,6,3] => 16
[4,5,8,1,2,7,6,3] => 14
[3,5,1,8,2,7,6,4] => 12
[2,1,5,8,3,7,6,4] => 10
[2,1,6,8,7,3,5,4] => 12
[3,6,1,8,7,2,5,4] => 14
[4,6,8,1,7,2,5,3] => 16
[5,6,8,7,1,2,4,3] => 18
[6,5,8,7,2,1,4,3] => 20
[7,5,8,6,2,4,1,3] => 22
[8,5,7,6,2,4,3,1] => 24
[8,6,7,5,4,2,3,1] => 26
[7,6,8,5,4,2,1,3] => 24
[6,7,8,5,4,1,2,3] => 22
[5,7,8,6,1,4,2,3] => 20
[4,7,8,1,6,5,2,3] => 18
[3,7,1,8,6,5,2,4] => 16
[2,1,7,8,6,5,3,4] => 14
[2,1,8,7,6,5,4,3] => 16
[3,8,1,7,6,5,4,2] => 18
[4,8,7,1,6,5,3,2] => 20
[5,8,7,6,1,4,3,2] => 22
[6,8,7,5,4,1,3,2] => 24
[7,8,6,5,4,3,1,2] => 26
[8,7,6,5,4,3,2,1] => 28
-----------------------------------------------------------------------------
Created: Jun 21, 2019 at 14:03 by Christian Stump
-----------------------------------------------------------------------------
Last Updated: Jan 08, 2023 at 10:53 by Martin Rubey