*****************************************************************************
* 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: St001715
-----------------------------------------------------------------------------
Collection: Permutations
-----------------------------------------------------------------------------
Description: The number of non-records in a permutation.
A record in a permutation $\pi$ is a value $\pi(j)$ which is a left-to-right minimum, a left-to-right maximum, a right-to-left minimum, or a right-to-left maximum.
For example, in the permutation $\pi = [1, 4, 3, 2, 5]$, the values $1$ is a left-to-right minimum, $1, 4, 5$ are left-to-right maxima, $5, 2, 1$ are right-to-left minima and $5$ is a right-to-left maximum. Hence, $3$ is the unique non-record.
Permutations without non-records are called square [1].
-----------------------------------------------------------------------------
References: [1] Number of square permutations of length n. [[OEIS:A128652]]
-----------------------------------------------------------------------------
Code:
def statistic(pi):
non_records = len(pi)
for j in range(len(pi)):
if (all(pi[j] > pi[i] for i in range(j)) or
all(pi[j] > pi[i] for i in range(j+1, len(pi))) or
all(pi[j] < pi[i] for i in range(j)) or
all(pi[j] < pi[i] for i in range(j+1, len(pi)))):
non_records -= 1
return non_records
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[1,2] => 0
[2,1] => 0
[1,2,3] => 0
[1,3,2] => 0
[2,1,3] => 0
[2,3,1] => 0
[3,1,2] => 0
[3,2,1] => 0
[1,2,3,4] => 0
[1,2,4,3] => 0
[1,3,2,4] => 0
[1,3,4,2] => 0
[1,4,2,3] => 0
[1,4,3,2] => 0
[2,1,3,4] => 0
[2,1,4,3] => 0
[2,3,1,4] => 0
[2,3,4,1] => 0
[2,4,1,3] => 0
[2,4,3,1] => 0
[3,1,2,4] => 0
[3,1,4,2] => 0
[3,2,1,4] => 0
[3,2,4,1] => 0
[3,4,1,2] => 0
[3,4,2,1] => 0
[4,1,2,3] => 0
[4,1,3,2] => 0
[4,2,1,3] => 0
[4,2,3,1] => 0
[4,3,1,2] => 0
[4,3,2,1] => 0
[1,2,3,4,5] => 0
[1,2,3,5,4] => 0
[1,2,4,3,5] => 0
[1,2,4,5,3] => 0
[1,2,5,3,4] => 0
[1,2,5,4,3] => 0
[1,3,2,4,5] => 0
[1,3,2,5,4] => 0
[1,3,4,2,5] => 0
[1,3,4,5,2] => 0
[1,3,5,2,4] => 0
[1,3,5,4,2] => 0
[1,4,2,3,5] => 0
[1,4,2,5,3] => 0
[1,4,3,2,5] => 1
[1,4,3,5,2] => 1
[1,4,5,2,3] => 0
[1,4,5,3,2] => 0
[1,5,2,3,4] => 0
[1,5,2,4,3] => 0
[1,5,3,2,4] => 1
[1,5,3,4,2] => 1
[1,5,4,2,3] => 0
[1,5,4,3,2] => 0
[2,1,3,4,5] => 0
[2,1,3,5,4] => 0
[2,1,4,3,5] => 0
[2,1,4,5,3] => 0
[2,1,5,3,4] => 0
[2,1,5,4,3] => 0
[2,3,1,4,5] => 0
[2,3,1,5,4] => 0
[2,3,4,1,5] => 0
[2,3,4,5,1] => 0
[2,3,5,1,4] => 0
[2,3,5,4,1] => 0
[2,4,1,3,5] => 0
[2,4,1,5,3] => 0
[2,4,3,1,5] => 1
[2,4,3,5,1] => 1
[2,4,5,1,3] => 0
[2,4,5,3,1] => 0
[2,5,1,3,4] => 0
[2,5,1,4,3] => 0
[2,5,3,1,4] => 1
[2,5,3,4,1] => 1
[2,5,4,1,3] => 0
[2,5,4,3,1] => 0
[3,1,2,4,5] => 0
[3,1,2,5,4] => 0
[3,1,4,2,5] => 0
[3,1,4,5,2] => 0
[3,1,5,2,4] => 0
[3,1,5,4,2] => 0
[3,2,1,4,5] => 0
[3,2,1,5,4] => 0
[3,2,4,1,5] => 0
[3,2,4,5,1] => 0
[3,2,5,1,4] => 0
[3,2,5,4,1] => 0
[3,4,1,2,5] => 0
[3,4,1,5,2] => 0
[3,4,2,1,5] => 0
[3,4,2,5,1] => 0
[3,4,5,1,2] => 0
[3,4,5,2,1] => 0
[3,5,1,2,4] => 0
[3,5,1,4,2] => 0
[3,5,2,1,4] => 0
[3,5,2,4,1] => 0
[3,5,4,1,2] => 0
[3,5,4,2,1] => 0
[4,1,2,3,5] => 0
[4,1,2,5,3] => 0
[4,1,3,2,5] => 1
[4,1,3,5,2] => 1
[4,1,5,2,3] => 0
[4,1,5,3,2] => 0
[4,2,1,3,5] => 0
[4,2,1,5,3] => 0
[4,2,3,1,5] => 1
[4,2,3,5,1] => 1
[4,2,5,1,3] => 0
[4,2,5,3,1] => 0
[4,3,1,2,5] => 0
[4,3,1,5,2] => 0
[4,3,2,1,5] => 0
[4,3,2,5,1] => 0
[4,3,5,1,2] => 0
[4,3,5,2,1] => 0
[4,5,1,2,3] => 0
[4,5,1,3,2] => 0
[4,5,2,1,3] => 0
[4,5,2,3,1] => 0
[4,5,3,1,2] => 0
[4,5,3,2,1] => 0
[5,1,2,3,4] => 0
[5,1,2,4,3] => 0
[5,1,3,2,4] => 1
[5,1,3,4,2] => 1
[5,1,4,2,3] => 0
[5,1,4,3,2] => 0
[5,2,1,3,4] => 0
[5,2,1,4,3] => 0
[5,2,3,1,4] => 1
[5,2,3,4,1] => 1
[5,2,4,1,3] => 0
[5,2,4,3,1] => 0
[5,3,1,2,4] => 0
[5,3,1,4,2] => 0
[5,3,2,1,4] => 0
[5,3,2,4,1] => 0
[5,3,4,1,2] => 0
[5,3,4,2,1] => 0
[5,4,1,2,3] => 0
[5,4,1,3,2] => 0
[5,4,2,1,3] => 0
[5,4,2,3,1] => 0
[5,4,3,1,2] => 0
[5,4,3,2,1] => 0
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 0
[1,2,3,5,4,6] => 0
[1,2,3,5,6,4] => 0
[1,2,3,6,4,5] => 0
[1,2,3,6,5,4] => 0
[1,2,4,3,5,6] => 0
[1,2,4,3,6,5] => 0
[1,2,4,5,3,6] => 0
[1,2,4,5,6,3] => 0
[1,2,4,6,3,5] => 0
[1,2,4,6,5,3] => 0
[1,2,5,3,4,6] => 0
[1,2,5,3,6,4] => 0
[1,2,5,4,3,6] => 1
[1,2,5,4,6,3] => 1
[1,2,5,6,3,4] => 0
[1,2,5,6,4,3] => 0
[1,2,6,3,4,5] => 0
[1,2,6,3,5,4] => 0
[1,2,6,4,3,5] => 1
[1,2,6,4,5,3] => 1
[1,2,6,5,3,4] => 0
[1,2,6,5,4,3] => 0
[1,3,2,4,5,6] => 0
[1,3,2,4,6,5] => 0
[1,3,2,5,4,6] => 0
[1,3,2,5,6,4] => 0
[1,3,2,6,4,5] => 0
[1,3,2,6,5,4] => 0
[1,3,4,2,5,6] => 0
[1,3,4,2,6,5] => 0
[1,3,4,5,2,6] => 0
[1,3,4,5,6,2] => 0
[1,3,4,6,2,5] => 0
[1,3,4,6,5,2] => 0
[1,3,5,2,4,6] => 0
[1,3,5,2,6,4] => 0
[1,3,5,4,2,6] => 1
[1,3,5,4,6,2] => 1
[1,3,5,6,2,4] => 0
[1,3,5,6,4,2] => 0
[1,3,6,2,4,5] => 0
[1,3,6,2,5,4] => 0
[1,3,6,4,2,5] => 1
[1,3,6,4,5,2] => 1
[1,3,6,5,2,4] => 0
[1,3,6,5,4,2] => 0
[1,4,2,3,5,6] => 0
[1,4,2,3,6,5] => 0
[1,4,2,5,3,6] => 0
[1,4,2,5,6,3] => 0
[1,4,2,6,3,5] => 0
[1,4,2,6,5,3] => 0
[1,4,3,2,5,6] => 1
[1,4,3,2,6,5] => 1
[1,4,3,5,2,6] => 1
[1,4,3,5,6,2] => 1
[1,4,3,6,2,5] => 1
[1,4,3,6,5,2] => 1
[1,4,5,2,3,6] => 0
[1,4,5,2,6,3] => 0
[1,4,5,3,2,6] => 1
[1,4,5,3,6,2] => 1
[1,4,5,6,2,3] => 0
[1,4,5,6,3,2] => 0
[1,4,6,2,3,5] => 0
[1,4,6,2,5,3] => 0
[1,4,6,3,2,5] => 1
[1,4,6,3,5,2] => 1
[1,4,6,5,2,3] => 0
[1,4,6,5,3,2] => 0
[1,5,2,3,4,6] => 0
[1,5,2,3,6,4] => 0
[1,5,2,4,3,6] => 1
[1,5,2,4,6,3] => 1
[1,5,2,6,3,4] => 0
[1,5,2,6,4,3] => 0
[1,5,3,2,4,6] => 1
[1,5,3,2,6,4] => 1
[1,5,3,4,2,6] => 2
[1,5,3,4,6,2] => 2
[1,5,3,6,2,4] => 1
[1,5,3,6,4,2] => 1
[1,5,4,2,3,6] => 1
[1,5,4,2,6,3] => 1
[1,5,4,3,2,6] => 2
[1,5,4,3,6,2] => 2
[1,5,4,6,2,3] => 1
[1,5,4,6,3,2] => 1
[1,5,6,2,3,4] => 0
[1,5,6,2,4,3] => 0
[1,5,6,3,2,4] => 1
[1,5,6,3,4,2] => 1
[1,5,6,4,2,3] => 0
[1,5,6,4,3,2] => 0
[1,6,2,3,4,5] => 0
[1,6,2,3,5,4] => 0
[1,6,2,4,3,5] => 1
[1,6,2,4,5,3] => 1
[1,6,2,5,3,4] => 0
[1,6,2,5,4,3] => 0
[1,6,3,2,4,5] => 1
[1,6,3,2,5,4] => 1
[1,6,3,4,2,5] => 2
[1,6,3,4,5,2] => 2
[1,6,3,5,2,4] => 1
[1,6,3,5,4,2] => 1
[1,6,4,2,3,5] => 1
[1,6,4,2,5,3] => 1
[1,6,4,3,2,5] => 2
[1,6,4,3,5,2] => 2
[1,6,4,5,2,3] => 1
[1,6,4,5,3,2] => 1
[1,6,5,2,3,4] => 0
[1,6,5,2,4,3] => 0
[1,6,5,3,2,4] => 1
[1,6,5,3,4,2] => 1
[1,6,5,4,2,3] => 0
[1,6,5,4,3,2] => 0
[2,1,3,4,5,6] => 0
[2,1,3,4,6,5] => 0
[2,1,3,5,4,6] => 0
[2,1,3,5,6,4] => 0
[2,1,3,6,4,5] => 0
[2,1,3,6,5,4] => 0
[2,1,4,3,5,6] => 0
[2,1,4,3,6,5] => 0
[2,1,4,5,3,6] => 0
[2,1,4,5,6,3] => 0
[2,1,4,6,3,5] => 0
[2,1,4,6,5,3] => 0
[2,1,5,3,4,6] => 0
[2,1,5,3,6,4] => 0
[2,1,5,4,3,6] => 1
[2,1,5,4,6,3] => 1
[2,1,5,6,3,4] => 0
[2,1,5,6,4,3] => 0
[2,1,6,3,4,5] => 0
[2,1,6,3,5,4] => 0
[2,1,6,4,3,5] => 1
[2,1,6,4,5,3] => 1
[2,1,6,5,3,4] => 0
[2,1,6,5,4,3] => 0
[2,3,1,4,5,6] => 0
[2,3,1,4,6,5] => 0
[2,3,1,5,4,6] => 0
[2,3,1,5,6,4] => 0
[2,3,1,6,4,5] => 0
[2,3,1,6,5,4] => 0
[2,3,4,1,5,6] => 0
[2,3,4,1,6,5] => 0
[2,3,4,5,1,6] => 0
[2,3,4,5,6,1] => 0
[2,3,4,6,1,5] => 0
[2,3,4,6,5,1] => 0
[2,3,5,1,4,6] => 0
[2,3,5,1,6,4] => 0
[2,3,5,4,1,6] => 1
[2,3,5,4,6,1] => 1
[2,3,5,6,1,4] => 0
[2,3,5,6,4,1] => 0
[2,3,6,1,4,5] => 0
[2,3,6,1,5,4] => 0
[2,3,6,4,1,5] => 1
[2,3,6,4,5,1] => 1
[2,3,6,5,1,4] => 0
[2,3,6,5,4,1] => 0
[2,4,1,3,5,6] => 0
[2,4,1,3,6,5] => 0
[2,4,1,5,3,6] => 0
[2,4,1,5,6,3] => 0
[2,4,1,6,3,5] => 0
[2,4,1,6,5,3] => 0
[2,4,3,1,5,6] => 1
[2,4,3,1,6,5] => 1
[2,4,3,5,1,6] => 1
[2,4,3,5,6,1] => 1
[2,4,3,6,1,5] => 1
[2,4,3,6,5,1] => 1
[2,4,5,1,3,6] => 0
[2,4,5,1,6,3] => 0
[2,4,5,3,1,6] => 1
[2,4,5,3,6,1] => 1
[2,4,5,6,1,3] => 0
[2,4,5,6,3,1] => 0
[2,4,6,1,3,5] => 0
[2,4,6,1,5,3] => 0
[2,4,6,3,1,5] => 1
[2,4,6,3,5,1] => 1
[2,4,6,5,1,3] => 0
[2,4,6,5,3,1] => 0
[2,5,1,3,4,6] => 0
[2,5,1,3,6,4] => 0
[2,5,1,4,3,6] => 1
[2,5,1,4,6,3] => 1
[2,5,1,6,3,4] => 0
[2,5,1,6,4,3] => 0
[2,5,3,1,4,6] => 1
[2,5,3,1,6,4] => 1
[2,5,3,4,1,6] => 2
[2,5,3,4,6,1] => 2
[2,5,3,6,1,4] => 1
[2,5,3,6,4,1] => 1
[2,5,4,1,3,6] => 1
[2,5,4,1,6,3] => 1
[2,5,4,3,1,6] => 2
[2,5,4,3,6,1] => 2
[2,5,4,6,1,3] => 1
[2,5,4,6,3,1] => 1
[2,5,6,1,3,4] => 0
[2,5,6,1,4,3] => 0
[2,5,6,3,1,4] => 1
[2,5,6,3,4,1] => 1
[2,5,6,4,1,3] => 0
[2,5,6,4,3,1] => 0
[2,6,1,3,4,5] => 0
[2,6,1,3,5,4] => 0
[2,6,1,4,3,5] => 1
[2,6,1,4,5,3] => 1
[2,6,1,5,3,4] => 0
[2,6,1,5,4,3] => 0
[2,6,3,1,4,5] => 1
[2,6,3,1,5,4] => 1
[2,6,3,4,1,5] => 2
[2,6,3,4,5,1] => 2
[2,6,3,5,1,4] => 1
[2,6,3,5,4,1] => 1
[2,6,4,1,3,5] => 1
[2,6,4,1,5,3] => 1
[2,6,4,3,1,5] => 2
[2,6,4,3,5,1] => 2
[2,6,4,5,1,3] => 1
[2,6,4,5,3,1] => 1
[2,6,5,1,3,4] => 0
[2,6,5,1,4,3] => 0
[2,6,5,3,1,4] => 1
[2,6,5,3,4,1] => 1
[2,6,5,4,1,3] => 0
[2,6,5,4,3,1] => 0
[3,1,2,4,5,6] => 0
[3,1,2,4,6,5] => 0
[3,1,2,5,4,6] => 0
[3,1,2,5,6,4] => 0
[3,1,2,6,4,5] => 0
[3,1,2,6,5,4] => 0
[3,1,4,2,5,6] => 0
[3,1,4,2,6,5] => 0
[3,1,4,5,2,6] => 0
[3,1,4,5,6,2] => 0
[3,1,4,6,2,5] => 0
[3,1,4,6,5,2] => 0
[3,1,5,2,4,6] => 0
[3,1,5,2,6,4] => 0
[3,1,5,4,2,6] => 1
[3,1,5,4,6,2] => 1
[3,1,5,6,2,4] => 0
[3,1,5,6,4,2] => 0
[3,1,6,2,4,5] => 0
[3,1,6,2,5,4] => 0
[3,1,6,4,2,5] => 1
[3,1,6,4,5,2] => 1
[3,1,6,5,2,4] => 0
[3,1,6,5,4,2] => 0
[3,2,1,4,5,6] => 0
[3,2,1,4,6,5] => 0
[3,2,1,5,4,6] => 0
[3,2,1,5,6,4] => 0
[3,2,1,6,4,5] => 0
[3,2,1,6,5,4] => 0
[3,2,4,1,5,6] => 0
[3,2,4,1,6,5] => 0
[3,2,4,5,1,6] => 0
[3,2,4,5,6,1] => 0
[3,2,4,6,1,5] => 0
[3,2,4,6,5,1] => 0
[3,2,5,1,4,6] => 0
[3,2,5,1,6,4] => 0
[3,2,5,4,1,6] => 1
[3,2,5,4,6,1] => 1
[3,2,5,6,1,4] => 0
[3,2,5,6,4,1] => 0
[3,2,6,1,4,5] => 0
[3,2,6,1,5,4] => 0
[3,2,6,4,1,5] => 1
[3,2,6,4,5,1] => 1
[3,2,6,5,1,4] => 0
[3,2,6,5,4,1] => 0
[3,4,1,2,5,6] => 0
[3,4,1,2,6,5] => 0
[3,4,1,5,2,6] => 0
[3,4,1,5,6,2] => 0
[3,4,1,6,2,5] => 0
[3,4,1,6,5,2] => 0
[3,4,2,1,5,6] => 0
[3,4,2,1,6,5] => 0
[3,4,2,5,1,6] => 0
[3,4,2,5,6,1] => 0
[3,4,2,6,1,5] => 0
[3,4,2,6,5,1] => 0
[3,4,5,1,2,6] => 0
[3,4,5,1,6,2] => 0
[3,4,5,2,1,6] => 0
[3,4,5,2,6,1] => 0
[3,4,5,6,1,2] => 0
[3,4,5,6,2,1] => 0
[3,4,6,1,2,5] => 0
[3,4,6,1,5,2] => 0
[3,4,6,2,1,5] => 0
[3,4,6,2,5,1] => 0
[3,4,6,5,1,2] => 0
[3,4,6,5,2,1] => 0
[3,5,1,2,4,6] => 0
[3,5,1,2,6,4] => 0
[3,5,1,4,2,6] => 1
[3,5,1,4,6,2] => 1
[3,5,1,6,2,4] => 0
[3,5,1,6,4,2] => 0
[3,5,2,1,4,6] => 0
[3,5,2,1,6,4] => 0
[3,5,2,4,1,6] => 1
[3,5,2,4,6,1] => 1
[3,5,2,6,1,4] => 0
[3,5,2,6,4,1] => 0
[3,5,4,1,2,6] => 1
[3,5,4,1,6,2] => 1
[3,5,4,2,1,6] => 1
[3,5,4,2,6,1] => 1
[3,5,4,6,1,2] => 1
[3,5,4,6,2,1] => 1
[3,5,6,1,2,4] => 0
[3,5,6,1,4,2] => 0
[3,5,6,2,1,4] => 0
[3,5,6,2,4,1] => 0
[3,5,6,4,1,2] => 0
[3,5,6,4,2,1] => 0
[3,6,1,2,4,5] => 0
[3,6,1,2,5,4] => 0
[3,6,1,4,2,5] => 1
[3,6,1,4,5,2] => 1
[3,6,1,5,2,4] => 0
[3,6,1,5,4,2] => 0
[3,6,2,1,4,5] => 0
[3,6,2,1,5,4] => 0
[3,6,2,4,1,5] => 1
[3,6,2,4,5,1] => 1
[3,6,2,5,1,4] => 0
[3,6,2,5,4,1] => 0
[3,6,4,1,2,5] => 1
[3,6,4,1,5,2] => 1
[3,6,4,2,1,5] => 1
[3,6,4,2,5,1] => 1
[3,6,4,5,1,2] => 1
[3,6,4,5,2,1] => 1
[3,6,5,1,2,4] => 0
[3,6,5,1,4,2] => 0
[3,6,5,2,1,4] => 0
[3,6,5,2,4,1] => 0
[3,6,5,4,1,2] => 0
[3,6,5,4,2,1] => 0
[4,1,2,3,5,6] => 0
[4,1,2,3,6,5] => 0
[4,1,2,5,3,6] => 0
[4,1,2,5,6,3] => 0
[4,1,2,6,3,5] => 0
[4,1,2,6,5,3] => 0
[4,1,3,2,5,6] => 1
[4,1,3,2,6,5] => 1
[4,1,3,5,2,6] => 1
[4,1,3,5,6,2] => 1
[4,1,3,6,2,5] => 1
[4,1,3,6,5,2] => 1
[4,1,5,2,3,6] => 0
[4,1,5,2,6,3] => 0
[4,1,5,3,2,6] => 1
[4,1,5,3,6,2] => 1
[4,1,5,6,2,3] => 0
[4,1,5,6,3,2] => 0
[4,1,6,2,3,5] => 0
[4,1,6,2,5,3] => 0
[4,1,6,3,2,5] => 1
[4,1,6,3,5,2] => 1
[4,1,6,5,2,3] => 0
[4,1,6,5,3,2] => 0
[4,2,1,3,5,6] => 0
[4,2,1,3,6,5] => 0
[4,2,1,5,3,6] => 0
[4,2,1,5,6,3] => 0
[4,2,1,6,3,5] => 0
[4,2,1,6,5,3] => 0
[4,2,3,1,5,6] => 1
[4,2,3,1,6,5] => 1
[4,2,3,5,1,6] => 1
[4,2,3,5,6,1] => 1
[4,2,3,6,1,5] => 1
[4,2,3,6,5,1] => 1
[4,2,5,1,3,6] => 0
[4,2,5,1,6,3] => 0
[4,2,5,3,1,6] => 1
[4,2,5,3,6,1] => 1
[4,2,5,6,1,3] => 0
[4,2,5,6,3,1] => 0
[4,2,6,1,3,5] => 0
[4,2,6,1,5,3] => 0
[4,2,6,3,1,5] => 1
[4,2,6,3,5,1] => 1
[4,2,6,5,1,3] => 0
[4,2,6,5,3,1] => 0
[4,3,1,2,5,6] => 0
[4,3,1,2,6,5] => 0
[4,3,1,5,2,6] => 0
[4,3,1,5,6,2] => 0
[4,3,1,6,2,5] => 0
[4,3,1,6,5,2] => 0
[4,3,2,1,5,6] => 0
[4,3,2,1,6,5] => 0
[4,3,2,5,1,6] => 0
[4,3,2,5,6,1] => 0
[4,3,2,6,1,5] => 0
[4,3,2,6,5,1] => 0
[4,3,5,1,2,6] => 0
[4,3,5,1,6,2] => 0
[4,3,5,2,1,6] => 0
[4,3,5,2,6,1] => 0
[4,3,5,6,1,2] => 0
[4,3,5,6,2,1] => 0
[4,3,6,1,2,5] => 0
[4,3,6,1,5,2] => 0
[4,3,6,2,1,5] => 0
[4,3,6,2,5,1] => 0
[4,3,6,5,1,2] => 0
[4,3,6,5,2,1] => 0
[4,5,1,2,3,6] => 0
[4,5,1,2,6,3] => 0
[4,5,1,3,2,6] => 1
[4,5,1,3,6,2] => 1
[4,5,1,6,2,3] => 0
[4,5,1,6,3,2] => 0
[4,5,2,1,3,6] => 0
[4,5,2,1,6,3] => 0
[4,5,2,3,1,6] => 1
[4,5,2,3,6,1] => 1
[4,5,2,6,1,3] => 0
[4,5,2,6,3,1] => 0
[4,5,3,1,2,6] => 0
[4,5,3,1,6,2] => 0
[4,5,3,2,1,6] => 0
[4,5,3,2,6,1] => 0
[4,5,3,6,1,2] => 0
[4,5,3,6,2,1] => 0
[4,5,6,1,2,3] => 0
[4,5,6,1,3,2] => 0
[4,5,6,2,1,3] => 0
[4,5,6,2,3,1] => 0
[4,5,6,3,1,2] => 0
[4,5,6,3,2,1] => 0
[4,6,1,2,3,5] => 0
[4,6,1,2,5,3] => 0
[4,6,1,3,2,5] => 1
[4,6,1,3,5,2] => 1
[4,6,1,5,2,3] => 0
[4,6,1,5,3,2] => 0
[4,6,2,1,3,5] => 0
[4,6,2,1,5,3] => 0
[4,6,2,3,1,5] => 1
[4,6,2,3,5,1] => 1
[4,6,2,5,1,3] => 0
[4,6,2,5,3,1] => 0
[4,6,3,1,2,5] => 0
[4,6,3,1,5,2] => 0
[4,6,3,2,1,5] => 0
[4,6,3,2,5,1] => 0
[4,6,3,5,1,2] => 0
[4,6,3,5,2,1] => 0
[4,6,5,1,2,3] => 0
[4,6,5,1,3,2] => 0
[4,6,5,2,1,3] => 0
[4,6,5,2,3,1] => 0
[4,6,5,3,1,2] => 0
[4,6,5,3,2,1] => 0
[5,1,2,3,4,6] => 0
[5,1,2,3,6,4] => 0
[5,1,2,4,3,6] => 1
[5,1,2,4,6,3] => 1
[5,1,2,6,3,4] => 0
[5,1,2,6,4,3] => 0
[5,1,3,2,4,6] => 1
[5,1,3,2,6,4] => 1
[5,1,3,4,2,6] => 2
[5,1,3,4,6,2] => 2
[5,1,3,6,2,4] => 1
[5,1,3,6,4,2] => 1
[5,1,4,2,3,6] => 1
[5,1,4,2,6,3] => 1
[5,1,4,3,2,6] => 2
[5,1,4,3,6,2] => 2
[5,1,4,6,2,3] => 1
[5,1,4,6,3,2] => 1
[5,1,6,2,3,4] => 0
[5,1,6,2,4,3] => 0
[5,1,6,3,2,4] => 1
[5,1,6,3,4,2] => 1
[5,1,6,4,2,3] => 0
[5,1,6,4,3,2] => 0
[5,2,1,3,4,6] => 0
[5,2,1,3,6,4] => 0
[5,2,1,4,3,6] => 1
[5,2,1,4,6,3] => 1
[5,2,1,6,3,4] => 0
[5,2,1,6,4,3] => 0
[5,2,3,1,4,6] => 1
[5,2,3,1,6,4] => 1
[5,2,3,4,1,6] => 2
[5,2,3,4,6,1] => 2
[5,2,3,6,1,4] => 1
[5,2,3,6,4,1] => 1
[5,2,4,1,3,6] => 1
[5,2,4,1,6,3] => 1
[5,2,4,3,1,6] => 2
[5,2,4,3,6,1] => 2
[5,2,4,6,1,3] => 1
[5,2,4,6,3,1] => 1
[5,2,6,1,3,4] => 0
[5,2,6,1,4,3] => 0
[5,2,6,3,1,4] => 1
[5,2,6,3,4,1] => 1
[5,2,6,4,1,3] => 0
[5,2,6,4,3,1] => 0
[5,3,1,2,4,6] => 0
[5,3,1,2,6,4] => 0
[5,3,1,4,2,6] => 1
[5,3,1,4,6,2] => 1
[5,3,1,6,2,4] => 0
[5,3,1,6,4,2] => 0
[5,3,2,1,4,6] => 0
[5,3,2,1,6,4] => 0
[5,3,2,4,1,6] => 1
[5,3,2,4,6,1] => 1
[5,3,2,6,1,4] => 0
[5,3,2,6,4,1] => 0
[5,3,4,1,2,6] => 1
[5,3,4,1,6,2] => 1
[5,3,4,2,1,6] => 1
[5,3,4,2,6,1] => 1
[5,3,4,6,1,2] => 1
[5,3,4,6,2,1] => 1
[5,3,6,1,2,4] => 0
[5,3,6,1,4,2] => 0
[5,3,6,2,1,4] => 0
[5,3,6,2,4,1] => 0
[5,3,6,4,1,2] => 0
[5,3,6,4,2,1] => 0
[5,4,1,2,3,6] => 0
[5,4,1,2,6,3] => 0
[5,4,1,3,2,6] => 1
[5,4,1,3,6,2] => 1
[5,4,1,6,2,3] => 0
[5,4,1,6,3,2] => 0
[5,4,2,1,3,6] => 0
[5,4,2,1,6,3] => 0
[5,4,2,3,1,6] => 1
[5,4,2,3,6,1] => 1
[5,4,2,6,1,3] => 0
[5,4,2,6,3,1] => 0
[5,4,3,1,2,6] => 0
[5,4,3,1,6,2] => 0
[5,4,3,2,1,6] => 0
[5,4,3,2,6,1] => 0
[5,4,3,6,1,2] => 0
[5,4,3,6,2,1] => 0
[5,4,6,1,2,3] => 0
[5,4,6,1,3,2] => 0
[5,4,6,2,1,3] => 0
[5,4,6,2,3,1] => 0
[5,4,6,3,1,2] => 0
[5,4,6,3,2,1] => 0
[5,6,1,2,3,4] => 0
[5,6,1,2,4,3] => 0
[5,6,1,3,2,4] => 1
[5,6,1,3,4,2] => 1
[5,6,1,4,2,3] => 0
[5,6,1,4,3,2] => 0
[5,6,2,1,3,4] => 0
[5,6,2,1,4,3] => 0
[5,6,2,3,1,4] => 1
[5,6,2,3,4,1] => 1
[5,6,2,4,1,3] => 0
[5,6,2,4,3,1] => 0
[5,6,3,1,2,4] => 0
[5,6,3,1,4,2] => 0
[5,6,3,2,1,4] => 0
[5,6,3,2,4,1] => 0
[5,6,3,4,1,2] => 0
[5,6,3,4,2,1] => 0
[5,6,4,1,2,3] => 0
[5,6,4,1,3,2] => 0
[5,6,4,2,1,3] => 0
[5,6,4,2,3,1] => 0
[5,6,4,3,1,2] => 0
[5,6,4,3,2,1] => 0
[6,1,2,3,4,5] => 0
[6,1,2,3,5,4] => 0
[6,1,2,4,3,5] => 1
[6,1,2,4,5,3] => 1
[6,1,2,5,3,4] => 0
[6,1,2,5,4,3] => 0
[6,1,3,2,4,5] => 1
[6,1,3,2,5,4] => 1
[6,1,3,4,2,5] => 2
[6,1,3,4,5,2] => 2
[6,1,3,5,2,4] => 1
[6,1,3,5,4,2] => 1
[6,1,4,2,3,5] => 1
[6,1,4,2,5,3] => 1
[6,1,4,3,2,5] => 2
[6,1,4,3,5,2] => 2
[6,1,4,5,2,3] => 1
[6,1,4,5,3,2] => 1
[6,1,5,2,3,4] => 0
[6,1,5,2,4,3] => 0
[6,1,5,3,2,4] => 1
[6,1,5,3,4,2] => 1
[6,1,5,4,2,3] => 0
[6,1,5,4,3,2] => 0
[6,2,1,3,4,5] => 0
[6,2,1,3,5,4] => 0
[6,2,1,4,3,5] => 1
[6,2,1,4,5,3] => 1
[6,2,1,5,3,4] => 0
[6,2,1,5,4,3] => 0
[6,2,3,1,4,5] => 1
[6,2,3,1,5,4] => 1
[6,2,3,4,1,5] => 2
[6,2,3,4,5,1] => 2
[6,2,3,5,1,4] => 1
[6,2,3,5,4,1] => 1
[6,2,4,1,3,5] => 1
[6,2,4,1,5,3] => 1
[6,2,4,3,1,5] => 2
[6,2,4,3,5,1] => 2
[6,2,4,5,1,3] => 1
[6,2,4,5,3,1] => 1
[6,2,5,1,3,4] => 0
[6,2,5,1,4,3] => 0
[6,2,5,3,1,4] => 1
[6,2,5,3,4,1] => 1
[6,2,5,4,1,3] => 0
[6,2,5,4,3,1] => 0
[6,3,1,2,4,5] => 0
[6,3,1,2,5,4] => 0
[6,3,1,4,2,5] => 1
[6,3,1,4,5,2] => 1
[6,3,1,5,2,4] => 0
[6,3,1,5,4,2] => 0
[6,3,2,1,4,5] => 0
[6,3,2,1,5,4] => 0
[6,3,2,4,1,5] => 1
[6,3,2,4,5,1] => 1
[6,3,2,5,1,4] => 0
[6,3,2,5,4,1] => 0
[6,3,4,1,2,5] => 1
[6,3,4,1,5,2] => 1
[6,3,4,2,1,5] => 1
[6,3,4,2,5,1] => 1
[6,3,4,5,1,2] => 1
[6,3,4,5,2,1] => 1
[6,3,5,1,2,4] => 0
[6,3,5,1,4,2] => 0
[6,3,5,2,1,4] => 0
[6,3,5,2,4,1] => 0
[6,3,5,4,1,2] => 0
[6,3,5,4,2,1] => 0
[6,4,1,2,3,5] => 0
[6,4,1,2,5,3] => 0
[6,4,1,3,2,5] => 1
[6,4,1,3,5,2] => 1
[6,4,1,5,2,3] => 0
[6,4,1,5,3,2] => 0
[6,4,2,1,3,5] => 0
[6,4,2,1,5,3] => 0
[6,4,2,3,1,5] => 1
[6,4,2,3,5,1] => 1
[6,4,2,5,1,3] => 0
[6,4,2,5,3,1] => 0
[6,4,3,1,2,5] => 0
[6,4,3,1,5,2] => 0
[6,4,3,2,1,5] => 0
[6,4,3,2,5,1] => 0
[6,4,3,5,1,2] => 0
[6,4,3,5,2,1] => 0
[6,4,5,1,2,3] => 0
[6,4,5,1,3,2] => 0
[6,4,5,2,1,3] => 0
[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] => 0
[6,5,1,2,4,3] => 0
[6,5,1,3,2,4] => 1
[6,5,1,3,4,2] => 1
[6,5,1,4,2,3] => 0
[6,5,1,4,3,2] => 0
[6,5,2,1,3,4] => 0
[6,5,2,1,4,3] => 0
[6,5,2,3,1,4] => 1
[6,5,2,3,4,1] => 1
[6,5,2,4,1,3] => 0
[6,5,2,4,3,1] => 0
[6,5,3,1,2,4] => 0
[6,5,3,1,4,2] => 0
[6,5,3,2,1,4] => 0
[6,5,3,2,4,1] => 0
[6,5,3,4,1,2] => 0
[6,5,3,4,2,1] => 0
[6,5,4,1,2,3] => 0
[6,5,4,1,3,2] => 0
[6,5,4,2,1,3] => 0
[6,5,4,2,3,1] => 0
[6,5,4,3,1,2] => 0
[6,5,4,3,2,1] => 0
[1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => 0
[1,2,3,4,6,5,7] => 0
[1,2,3,4,6,7,5] => 0
[1,2,3,4,7,5,6] => 0
[1,2,3,4,7,6,5] => 0
[1,2,3,5,4,6,7] => 0
[1,2,3,5,4,7,6] => 0
[1,2,3,5,6,4,7] => 0
[1,2,3,5,6,7,4] => 0
[1,2,3,5,7,4,6] => 0
[1,2,3,5,7,6,4] => 0
[1,2,3,6,4,5,7] => 0
[1,2,3,6,4,7,5] => 0
[1,2,3,6,5,4,7] => 1
[1,2,3,6,5,7,4] => 1
[1,2,3,6,7,4,5] => 0
[1,2,3,6,7,5,4] => 0
[1,2,3,7,4,5,6] => 0
[1,2,3,7,4,6,5] => 0
[1,2,3,7,5,4,6] => 1
[1,2,3,7,5,6,4] => 1
[1,2,3,7,6,4,5] => 0
[1,2,3,7,6,5,4] => 0
[1,2,4,3,5,6,7] => 0
[1,2,4,3,5,7,6] => 0
[1,2,4,3,6,5,7] => 0
[1,2,4,3,6,7,5] => 0
[1,2,4,3,7,5,6] => 0
[1,2,4,3,7,6,5] => 0
[1,2,4,5,3,6,7] => 0
[1,2,4,5,3,7,6] => 0
[1,2,4,5,6,3,7] => 0
[1,2,4,5,6,7,3] => 0
[1,2,4,5,7,3,6] => 0
[1,2,4,5,7,6,3] => 0
[1,2,4,6,3,5,7] => 0
[1,2,4,6,3,7,5] => 0
[1,2,4,6,5,3,7] => 1
[1,2,4,6,5,7,3] => 1
[1,2,4,6,7,3,5] => 0
[1,2,4,6,7,5,3] => 0
[1,2,4,7,3,5,6] => 0
[1,2,4,7,3,6,5] => 0
[1,2,4,7,5,3,6] => 1
[1,2,4,7,5,6,3] => 1
[1,2,4,7,6,3,5] => 0
[1,2,4,7,6,5,3] => 0
[1,2,5,3,4,6,7] => 0
[1,2,5,3,4,7,6] => 0
[1,2,5,3,6,4,7] => 0
[1,2,5,3,6,7,4] => 0
[1,2,5,3,7,4,6] => 0
[1,2,5,3,7,6,4] => 0
[1,2,5,4,3,6,7] => 1
[1,2,5,4,3,7,6] => 1
[1,2,5,4,6,3,7] => 1
[1,2,5,4,6,7,3] => 1
[1,2,5,4,7,3,6] => 1
[1,2,5,4,7,6,3] => 1
[1,2,5,6,3,4,7] => 0
[1,2,5,6,3,7,4] => 0
[1,2,5,6,4,3,7] => 1
[1,2,5,6,4,7,3] => 1
[1,2,5,6,7,3,4] => 0
[1,2,5,6,7,4,3] => 0
[1,2,5,7,3,4,6] => 0
[1,2,5,7,3,6,4] => 0
[1,2,5,7,4,3,6] => 1
[1,2,5,7,4,6,3] => 1
[1,2,5,7,6,3,4] => 0
[1,2,5,7,6,4,3] => 0
[1,2,6,3,4,5,7] => 0
[1,2,6,3,4,7,5] => 0
[1,2,6,3,5,4,7] => 1
[1,2,6,3,5,7,4] => 1
[1,2,6,3,7,4,5] => 0
[1,2,6,3,7,5,4] => 0
[1,2,6,4,3,5,7] => 1
[1,2,6,4,3,7,5] => 1
[1,2,6,4,5,3,7] => 2
[1,2,6,4,5,7,3] => 2
[1,2,6,4,7,3,5] => 1
[1,2,6,4,7,5,3] => 1
[1,2,6,5,3,4,7] => 1
[1,2,6,5,3,7,4] => 1
[1,2,6,5,4,3,7] => 2
[1,2,6,5,4,7,3] => 2
[1,2,6,5,7,3,4] => 1
[1,2,6,5,7,4,3] => 1
[1,2,6,7,3,4,5] => 0
[1,2,6,7,3,5,4] => 0
[1,2,6,7,4,3,5] => 1
[1,2,6,7,4,5,3] => 1
[1,2,6,7,5,3,4] => 0
[1,2,6,7,5,4,3] => 0
[1,2,7,3,4,5,6] => 0
[1,2,7,3,4,6,5] => 0
[1,2,7,3,5,4,6] => 1
[1,2,7,3,5,6,4] => 1
[1,2,7,3,6,4,5] => 0
[1,2,7,3,6,5,4] => 0
[1,2,7,4,3,5,6] => 1
[1,2,7,4,3,6,5] => 1
[1,2,7,4,5,3,6] => 2
[1,2,7,4,5,6,3] => 2
[1,2,7,4,6,3,5] => 1
[1,2,7,4,6,5,3] => 1
[1,2,7,5,3,4,6] => 1
[1,2,7,5,3,6,4] => 1
[1,2,7,5,4,3,6] => 2
[1,2,7,5,4,6,3] => 2
[1,2,7,5,6,3,4] => 1
[1,2,7,5,6,4,3] => 1
[1,2,7,6,3,4,5] => 0
[1,2,7,6,3,5,4] => 0
[1,2,7,6,4,3,5] => 1
[1,2,7,6,4,5,3] => 1
[1,2,7,6,5,3,4] => 0
[1,2,7,6,5,4,3] => 0
[1,3,2,4,5,6,7] => 0
[1,3,2,4,5,7,6] => 0
[1,3,2,4,6,5,7] => 0
[1,3,2,4,6,7,5] => 0
[1,3,2,4,7,5,6] => 0
[1,3,2,4,7,6,5] => 0
[1,3,2,5,4,6,7] => 0
[1,3,2,5,4,7,6] => 0
[1,3,2,5,6,4,7] => 0
[1,3,2,5,6,7,4] => 0
[1,3,2,5,7,4,6] => 0
[1,3,2,5,7,6,4] => 0
[1,3,2,6,4,5,7] => 0
[1,3,2,6,4,7,5] => 0
[1,3,2,6,5,4,7] => 1
[1,3,2,6,5,7,4] => 1
[1,3,2,6,7,4,5] => 0
[1,3,2,6,7,5,4] => 0
[1,3,2,7,4,5,6] => 0
[1,3,2,7,4,6,5] => 0
[1,3,2,7,5,4,6] => 1
[1,3,2,7,5,6,4] => 1
[1,3,2,7,6,4,5] => 0
[1,3,2,7,6,5,4] => 0
[1,3,4,2,5,6,7] => 0
[1,3,4,2,5,7,6] => 0
[1,3,4,2,6,5,7] => 0
[1,3,4,2,6,7,5] => 0
[1,3,4,2,7,5,6] => 0
[1,3,4,2,7,6,5] => 0
[1,3,4,5,2,6,7] => 0
[1,3,4,5,2,7,6] => 0
[1,3,4,5,6,2,7] => 0
[1,3,4,5,6,7,2] => 0
[1,3,4,5,7,2,6] => 0
[1,3,4,5,7,6,2] => 0
[1,3,4,6,2,5,7] => 0
[1,3,4,6,2,7,5] => 0
[1,3,4,6,5,2,7] => 1
[1,3,4,6,5,7,2] => 1
[1,3,4,6,7,2,5] => 0
[1,3,4,6,7,5,2] => 0
[1,3,4,7,2,5,6] => 0
[1,3,4,7,2,6,5] => 0
[1,3,4,7,5,2,6] => 1
[1,3,4,7,5,6,2] => 1
[1,3,4,7,6,2,5] => 0
[1,3,4,7,6,5,2] => 0
[1,3,5,2,4,6,7] => 0
[1,3,5,2,4,7,6] => 0
[1,3,5,2,6,4,7] => 0
[1,3,5,2,6,7,4] => 0
[1,3,5,2,7,4,6] => 0
[1,3,5,2,7,6,4] => 0
[1,3,5,4,2,6,7] => 1
[1,3,5,4,2,7,6] => 1
[1,3,5,4,6,2,7] => 1
[1,3,5,4,6,7,2] => 1
[1,3,5,4,7,2,6] => 1
[1,3,5,4,7,6,2] => 1
[1,3,5,6,2,4,7] => 0
[1,3,5,6,2,7,4] => 0
[1,3,5,6,4,2,7] => 1
[1,3,5,6,4,7,2] => 1
[1,3,5,6,7,2,4] => 0
[1,3,5,6,7,4,2] => 0
[1,3,5,7,2,4,6] => 0
[1,3,5,7,2,6,4] => 0
[1,3,5,7,4,2,6] => 1
[1,3,5,7,4,6,2] => 1
[1,3,5,7,6,2,4] => 0
[1,3,5,7,6,4,2] => 0
[1,3,6,2,4,5,7] => 0
[1,3,6,2,4,7,5] => 0
[1,3,6,2,5,4,7] => 1
[1,3,6,2,5,7,4] => 1
[1,3,6,2,7,4,5] => 0
[1,3,6,2,7,5,4] => 0
[1,3,6,4,2,5,7] => 1
[1,3,6,4,2,7,5] => 1
[1,3,6,4,5,2,7] => 2
[1,3,6,4,5,7,2] => 2
[1,3,6,4,7,2,5] => 1
[1,3,6,4,7,5,2] => 1
[1,3,6,5,2,4,7] => 1
[1,3,6,5,2,7,4] => 1
[1,3,6,5,4,2,7] => 2
[1,3,6,5,4,7,2] => 2
[1,3,6,5,7,2,4] => 1
[1,3,6,5,7,4,2] => 1
[1,3,6,7,2,4,5] => 0
[1,3,6,7,2,5,4] => 0
[1,3,6,7,4,2,5] => 1
[1,3,6,7,4,5,2] => 1
[1,3,6,7,5,2,4] => 0
[1,3,6,7,5,4,2] => 0
[1,3,7,2,4,5,6] => 0
[1,3,7,2,4,6,5] => 0
[1,3,7,2,5,4,6] => 1
[1,3,7,2,5,6,4] => 1
[1,3,7,2,6,4,5] => 0
[1,3,7,2,6,5,4] => 0
[1,3,7,4,2,5,6] => 1
[1,3,7,4,2,6,5] => 1
[1,3,7,4,5,2,6] => 2
[1,3,7,4,5,6,2] => 2
[1,3,7,4,6,2,5] => 1
[1,3,7,4,6,5,2] => 1
[1,3,7,5,2,4,6] => 1
[1,3,7,5,2,6,4] => 1
[1,3,7,5,4,2,6] => 2
[1,3,7,5,4,6,2] => 2
[1,3,7,5,6,2,4] => 1
[1,3,7,5,6,4,2] => 1
[1,3,7,6,2,4,5] => 0
[1,3,7,6,2,5,4] => 0
[1,3,7,6,4,2,5] => 1
[1,3,7,6,4,5,2] => 1
[1,3,7,6,5,2,4] => 0
[1,3,7,6,5,4,2] => 0
[1,4,2,3,5,6,7] => 0
[1,4,2,3,5,7,6] => 0
[1,4,2,3,6,5,7] => 0
[1,4,2,3,6,7,5] => 0
[1,4,2,3,7,5,6] => 0
[1,4,2,3,7,6,5] => 0
[1,4,2,5,3,6,7] => 0
[1,4,2,5,3,7,6] => 0
[1,4,2,5,6,3,7] => 0
[1,4,2,5,6,7,3] => 0
[1,4,2,5,7,3,6] => 0
[1,4,2,5,7,6,3] => 0
[1,4,2,6,3,5,7] => 0
[1,4,2,6,3,7,5] => 0
[1,4,2,6,5,3,7] => 1
[1,4,2,6,5,7,3] => 1
[1,4,2,6,7,3,5] => 0
[1,4,2,6,7,5,3] => 0
[1,4,2,7,3,5,6] => 0
[1,4,2,7,3,6,5] => 0
[1,4,2,7,5,3,6] => 1
[1,4,2,7,5,6,3] => 1
[1,4,2,7,6,3,5] => 0
[1,4,2,7,6,5,3] => 0
[1,4,3,2,5,6,7] => 1
[1,4,3,2,5,7,6] => 1
[1,4,3,2,6,5,7] => 1
[1,4,3,2,6,7,5] => 1
[1,4,3,2,7,5,6] => 1
[1,4,3,2,7,6,5] => 1
[1,4,3,5,2,6,7] => 1
[1,4,3,5,2,7,6] => 1
[1,4,3,5,6,2,7] => 1
[1,4,3,5,6,7,2] => 1
[1,4,3,5,7,2,6] => 1
[1,4,3,5,7,6,2] => 1
[1,4,3,6,2,5,7] => 1
[1,4,3,6,2,7,5] => 1
[1,4,3,6,5,2,7] => 2
[1,4,3,6,5,7,2] => 2
[1,4,3,6,7,2,5] => 1
[1,4,3,6,7,5,2] => 1
[1,4,3,7,2,5,6] => 1
[1,4,3,7,2,6,5] => 1
[1,4,3,7,5,2,6] => 2
[1,4,3,7,5,6,2] => 2
[1,4,3,7,6,2,5] => 1
[1,4,3,7,6,5,2] => 1
[1,4,5,2,3,6,7] => 0
[1,4,5,2,3,7,6] => 0
[1,4,5,2,6,3,7] => 0
[1,4,5,2,6,7,3] => 0
[1,4,5,2,7,3,6] => 0
[1,4,5,2,7,6,3] => 0
[1,4,5,3,2,6,7] => 1
[1,4,5,3,2,7,6] => 1
[1,4,5,3,6,2,7] => 1
[1,4,5,3,6,7,2] => 1
[1,4,5,3,7,2,6] => 1
[1,4,5,3,7,6,2] => 1
[1,4,5,6,2,3,7] => 0
[1,4,5,6,2,7,3] => 0
[1,4,5,6,3,2,7] => 1
[1,4,5,6,3,7,2] => 1
[1,4,5,6,7,2,3] => 0
[1,4,5,6,7,3,2] => 0
[1,4,5,7,2,3,6] => 0
[1,4,5,7,2,6,3] => 0
[1,4,5,7,3,2,6] => 1
[1,4,5,7,3,6,2] => 1
[1,4,5,7,6,2,3] => 0
[1,4,5,7,6,3,2] => 0
[1,4,6,2,3,5,7] => 0
[1,4,6,2,3,7,5] => 0
[1,4,6,2,5,3,7] => 1
[1,4,6,2,5,7,3] => 1
[1,4,6,2,7,3,5] => 0
[1,4,6,2,7,5,3] => 0
[1,4,6,3,2,5,7] => 1
[1,4,6,3,2,7,5] => 1
[1,4,6,3,5,2,7] => 2
[1,4,6,3,5,7,2] => 2
[1,4,6,3,7,2,5] => 1
[1,4,6,3,7,5,2] => 1
[1,4,6,5,2,3,7] => 1
[1,4,6,5,2,7,3] => 1
[1,4,6,5,3,2,7] => 2
-----------------------------------------------------------------------------
Created: May 05, 2021 at 11:32 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: May 05, 2021 at 11:32 by Martin Rubey