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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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* This information is distributed in the hope that it will be useful, *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St001947
-----------------------------------------------------------------------------
Collection: Parking functions
-----------------------------------------------------------------------------
Description: The number of ties in a parking function.
This is the number of indices $i$ such that $p_i=p_{i+1}$.
-----------------------------------------------------------------------------
References: [1] Schumacher, P.R.F. Descents in Parking Functions, Journal of Integer Sequences, Vol. 21 (2018), Article 18.2.3. [[https://www.emis.de/journals/JIS/VOL21/Schumacher/schu5.pdf]]
-----------------------------------------------------------------------------
Code:
def statistic(p):
return sum(1 for i in range(len(p)-1) if p[i] == p[i+1])
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[1,1] => 1
[1,2] => 0
[2,1] => 0
[1,1,1] => 2
[1,1,2] => 1
[1,2,1] => 0
[2,1,1] => 1
[1,1,3] => 1
[1,3,1] => 0
[3,1,1] => 1
[1,2,2] => 1
[2,1,2] => 0
[2,2,1] => 1
[1,2,3] => 0
[1,3,2] => 0
[2,1,3] => 0
[2,3,1] => 0
[3,1,2] => 0
[3,2,1] => 0
[1,1,1,1] => 3
[1,1,1,2] => 2
[1,1,2,1] => 1
[1,2,1,1] => 1
[2,1,1,1] => 2
[1,1,1,3] => 2
[1,1,3,1] => 1
[1,3,1,1] => 1
[3,1,1,1] => 2
[1,1,1,4] => 2
[1,1,4,1] => 1
[1,4,1,1] => 1
[4,1,1,1] => 2
[1,1,2,2] => 2
[1,2,1,2] => 0
[1,2,2,1] => 1
[2,1,1,2] => 1
[2,1,2,1] => 0
[2,2,1,1] => 2
[1,1,2,3] => 1
[1,1,3,2] => 1
[1,2,1,3] => 0
[1,2,3,1] => 0
[1,3,1,2] => 0
[1,3,2,1] => 0
[2,1,1,3] => 1
[2,1,3,1] => 0
[2,3,1,1] => 1
[3,1,1,2] => 1
[3,1,2,1] => 0
[3,2,1,1] => 1
[1,1,2,4] => 1
[1,1,4,2] => 1
[1,2,1,4] => 0
[1,2,4,1] => 0
[1,4,1,2] => 0
[1,4,2,1] => 0
[2,1,1,4] => 1
[2,1,4,1] => 0
[2,4,1,1] => 1
[4,1,1,2] => 1
[4,1,2,1] => 0
[4,2,1,1] => 1
[1,1,3,3] => 2
[1,3,1,3] => 0
[1,3,3,1] => 1
[3,1,1,3] => 1
[3,1,3,1] => 0
[3,3,1,1] => 2
[1,1,3,4] => 1
[1,1,4,3] => 1
[1,3,1,4] => 0
[1,3,4,1] => 0
[1,4,1,3] => 0
[1,4,3,1] => 0
[3,1,1,4] => 1
[3,1,4,1] => 0
[3,4,1,1] => 1
[4,1,1,3] => 1
[4,1,3,1] => 0
[4,3,1,1] => 1
[1,2,2,2] => 2
[2,1,2,2] => 1
[2,2,1,2] => 1
[2,2,2,1] => 2
[1,2,2,3] => 1
[1,2,3,2] => 0
[1,3,2,2] => 1
[2,1,2,3] => 0
[2,1,3,2] => 0
[2,2,1,3] => 1
[2,2,3,1] => 1
[2,3,1,2] => 0
[2,3,2,1] => 0
[3,1,2,2] => 1
[3,2,1,2] => 0
[3,2,2,1] => 1
[1,2,2,4] => 1
[1,2,4,2] => 0
[1,4,2,2] => 1
[2,1,2,4] => 0
[2,1,4,2] => 0
[2,2,1,4] => 1
[2,2,4,1] => 1
[2,4,1,2] => 0
[2,4,2,1] => 0
[4,1,2,2] => 1
[4,2,1,2] => 0
[4,2,2,1] => 1
[1,2,3,3] => 1
[1,3,2,3] => 0
[1,3,3,2] => 1
[2,1,3,3] => 1
[2,3,1,3] => 0
[2,3,3,1] => 1
[3,1,2,3] => 0
[3,1,3,2] => 0
[3,2,1,3] => 0
[3,2,3,1] => 0
[3,3,1,2] => 1
[3,3,2,1] => 1
[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
[1,1,1,1,1] => 4
[1,1,1,1,2] => 3
[1,1,1,2,1] => 2
[1,1,2,1,1] => 2
[1,2,1,1,1] => 2
[2,1,1,1,1] => 3
[1,1,1,1,3] => 3
[1,1,1,3,1] => 2
[1,1,3,1,1] => 2
[1,3,1,1,1] => 2
[3,1,1,1,1] => 3
[1,1,1,1,4] => 3
[1,1,1,4,1] => 2
[1,1,4,1,1] => 2
[1,4,1,1,1] => 2
[4,1,1,1,1] => 3
[1,1,1,1,5] => 3
[1,1,1,5,1] => 2
[1,1,5,1,1] => 2
[1,5,1,1,1] => 2
[5,1,1,1,1] => 3
[1,1,1,2,2] => 3
[1,1,2,1,2] => 1
[1,1,2,2,1] => 2
[1,2,1,1,2] => 1
[1,2,1,2,1] => 0
[1,2,2,1,1] => 2
[2,1,1,1,2] => 2
[2,1,1,2,1] => 1
[2,1,2,1,1] => 1
[2,2,1,1,1] => 3
[1,1,1,2,3] => 2
[1,1,1,3,2] => 2
[1,1,2,1,3] => 1
[1,1,2,3,1] => 1
[1,1,3,1,2] => 1
[1,1,3,2,1] => 1
[1,2,1,1,3] => 1
[1,2,1,3,1] => 0
[1,2,3,1,1] => 1
[1,3,1,1,2] => 1
[1,3,1,2,1] => 0
[1,3,2,1,1] => 1
[2,1,1,1,3] => 2
[2,1,1,3,1] => 1
[2,1,3,1,1] => 1
[2,3,1,1,1] => 2
[3,1,1,1,2] => 2
[3,1,1,2,1] => 1
[3,1,2,1,1] => 1
[3,2,1,1,1] => 2
[1,1,1,2,4] => 2
[1,1,1,4,2] => 2
[1,1,2,1,4] => 1
[1,1,2,4,1] => 1
[1,1,4,1,2] => 1
[1,1,4,2,1] => 1
[1,2,1,1,4] => 1
[1,2,1,4,1] => 0
[1,2,4,1,1] => 1
[1,4,1,1,2] => 1
[1,4,1,2,1] => 0
[1,4,2,1,1] => 1
[2,1,1,1,4] => 2
[2,1,1,4,1] => 1
[2,1,4,1,1] => 1
[2,4,1,1,1] => 2
[4,1,1,1,2] => 2
[4,1,1,2,1] => 1
[4,1,2,1,1] => 1
[4,2,1,1,1] => 2
[1,1,1,2,5] => 2
[1,1,1,5,2] => 2
[1,1,2,1,5] => 1
[1,1,2,5,1] => 1
[1,1,5,1,2] => 1
[1,1,5,2,1] => 1
[1,2,1,1,5] => 1
[1,2,1,5,1] => 0
[1,2,5,1,1] => 1
[1,5,1,1,2] => 1
[1,5,1,2,1] => 0
[1,5,2,1,1] => 1
[2,1,1,1,5] => 2
[2,1,1,5,1] => 1
[2,1,5,1,1] => 1
[2,5,1,1,1] => 2
[5,1,1,1,2] => 2
[5,1,1,2,1] => 1
[5,1,2,1,1] => 1
[5,2,1,1,1] => 2
[1,1,1,3,3] => 3
[1,1,3,1,3] => 1
[1,1,3,3,1] => 2
[1,3,1,1,3] => 1
[1,3,1,3,1] => 0
[1,3,3,1,1] => 2
[3,1,1,1,3] => 2
[3,1,1,3,1] => 1
[3,1,3,1,1] => 1
[3,3,1,1,1] => 3
[1,1,1,3,4] => 2
[1,1,1,4,3] => 2
[1,1,3,1,4] => 1
[1,1,3,4,1] => 1
[1,1,4,1,3] => 1
[1,1,4,3,1] => 1
[1,3,1,1,4] => 1
[1,3,1,4,1] => 0
[1,3,4,1,1] => 1
[1,4,1,1,3] => 1
[1,4,1,3,1] => 0
[1,4,3,1,1] => 1
[3,1,1,1,4] => 2
[3,1,1,4,1] => 1
[3,1,4,1,1] => 1
[3,4,1,1,1] => 2
[4,1,1,1,3] => 2
[4,1,1,3,1] => 1
[4,1,3,1,1] => 1
[4,3,1,1,1] => 2
[1,1,1,3,5] => 2
[1,1,1,5,3] => 2
[1,1,3,1,5] => 1
[1,1,3,5,1] => 1
[1,1,5,1,3] => 1
[1,1,5,3,1] => 1
[1,3,1,1,5] => 1
[1,3,1,5,1] => 0
[1,3,5,1,1] => 1
[1,5,1,1,3] => 1
[1,5,1,3,1] => 0
[1,5,3,1,1] => 1
[3,1,1,1,5] => 2
[3,1,1,5,1] => 1
[3,1,5,1,1] => 1
[3,5,1,1,1] => 2
[5,1,1,1,3] => 2
[5,1,1,3,1] => 1
[5,1,3,1,1] => 1
[5,3,1,1,1] => 2
[1,1,1,4,4] => 3
[1,1,4,1,4] => 1
[1,1,4,4,1] => 2
[1,4,1,1,4] => 1
[1,4,1,4,1] => 0
[1,4,4,1,1] => 2
[4,1,1,1,4] => 2
[4,1,1,4,1] => 1
[4,1,4,1,1] => 1
[4,4,1,1,1] => 3
[1,1,1,4,5] => 2
[1,1,1,5,4] => 2
[1,1,4,1,5] => 1
[1,1,4,5,1] => 1
[1,1,5,1,4] => 1
[1,1,5,4,1] => 1
[1,4,1,1,5] => 1
[1,4,1,5,1] => 0
[1,4,5,1,1] => 1
[1,5,1,1,4] => 1
[1,5,1,4,1] => 0
[1,5,4,1,1] => 1
[4,1,1,1,5] => 2
[4,1,1,5,1] => 1
[4,1,5,1,1] => 1
[4,5,1,1,1] => 2
[5,1,1,1,4] => 2
[5,1,1,4,1] => 1
[5,1,4,1,1] => 1
[5,4,1,1,1] => 2
[1,1,2,2,2] => 3
[1,2,1,2,2] => 1
[1,2,2,1,2] => 1
[1,2,2,2,1] => 2
[2,1,1,2,2] => 2
[2,1,2,1,2] => 0
[2,1,2,2,1] => 1
[2,2,1,1,2] => 2
[2,2,1,2,1] => 1
[2,2,2,1,1] => 3
[1,1,2,2,3] => 2
[1,1,2,3,2] => 1
[1,1,3,2,2] => 2
[1,2,1,2,3] => 0
[1,2,1,3,2] => 0
[1,2,2,1,3] => 1
[1,2,2,3,1] => 1
[1,2,3,1,2] => 0
[1,2,3,2,1] => 0
[1,3,1,2,2] => 1
[1,3,2,1,2] => 0
[1,3,2,2,1] => 1
[2,1,1,2,3] => 1
[2,1,1,3,2] => 1
[2,1,2,1,3] => 0
[2,1,2,3,1] => 0
[2,1,3,1,2] => 0
[2,1,3,2,1] => 0
[2,2,1,1,3] => 2
[2,2,1,3,1] => 1
[2,2,3,1,1] => 2
[2,3,1,1,2] => 1
[2,3,1,2,1] => 0
[2,3,2,1,1] => 1
[3,1,1,2,2] => 2
[3,1,2,1,2] => 0
[3,1,2,2,1] => 1
[3,2,1,1,2] => 1
[3,2,1,2,1] => 0
[3,2,2,1,1] => 2
[1,1,2,2,4] => 2
[1,1,2,4,2] => 1
[1,1,4,2,2] => 2
[1,2,1,2,4] => 0
[1,2,1,4,2] => 0
[1,2,2,1,4] => 1
[1,2,2,4,1] => 1
[1,2,4,1,2] => 0
[1,2,4,2,1] => 0
[1,4,1,2,2] => 1
[1,4,2,1,2] => 0
[1,4,2,2,1] => 1
[2,1,1,2,4] => 1
[2,1,1,4,2] => 1
[2,1,2,1,4] => 0
[2,1,2,4,1] => 0
[2,1,4,1,2] => 0
[2,1,4,2,1] => 0
[2,2,1,1,4] => 2
[2,2,1,4,1] => 1
[2,2,4,1,1] => 2
[2,4,1,1,2] => 1
[2,4,1,2,1] => 0
[2,4,2,1,1] => 1
[4,1,1,2,2] => 2
[4,1,2,1,2] => 0
[4,1,2,2,1] => 1
[4,2,1,1,2] => 1
[4,2,1,2,1] => 0
[4,2,2,1,1] => 2
[1,1,2,2,5] => 2
[1,1,2,5,2] => 1
[1,1,5,2,2] => 2
[1,2,1,2,5] => 0
[1,2,1,5,2] => 0
[1,2,2,1,5] => 1
[1,2,2,5,1] => 1
[1,2,5,1,2] => 0
[1,2,5,2,1] => 0
[1,5,1,2,2] => 1
[1,5,2,1,2] => 0
[1,5,2,2,1] => 1
[2,1,1,2,5] => 1
[2,1,1,5,2] => 1
[2,1,2,1,5] => 0
[2,1,2,5,1] => 0
[2,1,5,1,2] => 0
[2,1,5,2,1] => 0
[2,2,1,1,5] => 2
[2,2,1,5,1] => 1
[2,2,5,1,1] => 2
[2,5,1,1,2] => 1
[2,5,1,2,1] => 0
[2,5,2,1,1] => 1
[5,1,1,2,2] => 2
[5,1,2,1,2] => 0
[5,1,2,2,1] => 1
[5,2,1,1,2] => 1
[5,2,1,2,1] => 0
[5,2,2,1,1] => 2
[1,1,2,3,3] => 2
[1,1,3,2,3] => 1
[1,1,3,3,2] => 2
[1,2,1,3,3] => 1
[1,2,3,1,3] => 0
[1,2,3,3,1] => 1
[1,3,1,2,3] => 0
[1,3,1,3,2] => 0
[1,3,2,1,3] => 0
[1,3,2,3,1] => 0
[1,3,3,1,2] => 1
[1,3,3,2,1] => 1
[2,1,1,3,3] => 2
[2,1,3,1,3] => 0
[2,1,3,3,1] => 1
[2,3,1,1,3] => 1
[2,3,1,3,1] => 0
[2,3,3,1,1] => 2
[3,1,1,2,3] => 1
[3,1,1,3,2] => 1
[3,1,2,1,3] => 0
[3,1,2,3,1] => 0
[3,1,3,1,2] => 0
[3,1,3,2,1] => 0
[3,2,1,1,3] => 1
[3,2,1,3,1] => 0
[3,2,3,1,1] => 1
[3,3,1,1,2] => 2
[3,3,1,2,1] => 1
[3,3,2,1,1] => 2
[1,1,2,3,4] => 1
[1,1,2,4,3] => 1
[1,1,3,2,4] => 1
[1,1,3,4,2] => 1
[1,1,4,2,3] => 1
[1,1,4,3,2] => 1
[1,2,1,3,4] => 0
[1,2,1,4,3] => 0
[1,2,3,1,4] => 0
[1,2,3,4,1] => 0
[1,2,4,1,3] => 0
[1,2,4,3,1] => 0
[1,3,1,2,4] => 0
[1,3,1,4,2] => 0
[1,3,2,1,4] => 0
[1,3,2,4,1] => 0
[1,3,4,1,2] => 0
[1,3,4,2,1] => 0
[1,4,1,2,3] => 0
[1,4,1,3,2] => 0
[1,4,2,1,3] => 0
[1,4,2,3,1] => 0
[1,4,3,1,2] => 0
[1,4,3,2,1] => 0
[2,1,1,3,4] => 1
[2,1,1,4,3] => 1
[2,1,3,1,4] => 0
[2,1,3,4,1] => 0
[2,1,4,1,3] => 0
[2,1,4,3,1] => 0
[2,3,1,1,4] => 1
[2,3,1,4,1] => 0
[2,3,4,1,1] => 1
[2,4,1,1,3] => 1
[2,4,1,3,1] => 0
[2,4,3,1,1] => 1
[3,1,1,2,4] => 1
[3,1,1,4,2] => 1
[3,1,2,1,4] => 0
[3,1,2,4,1] => 0
[3,1,4,1,2] => 0
[3,1,4,2,1] => 0
[3,2,1,1,4] => 1
[3,2,1,4,1] => 0
[3,2,4,1,1] => 1
[3,4,1,1,2] => 1
[3,4,1,2,1] => 0
[3,4,2,1,1] => 1
[4,1,1,2,3] => 1
[4,1,1,3,2] => 1
[4,1,2,1,3] => 0
[4,1,2,3,1] => 0
[4,1,3,1,2] => 0
[4,1,3,2,1] => 0
[4,2,1,1,3] => 1
[4,2,1,3,1] => 0
[4,2,3,1,1] => 1
[4,3,1,1,2] => 1
[4,3,1,2,1] => 0
[4,3,2,1,1] => 1
[1,1,2,3,5] => 1
[1,1,2,5,3] => 1
[1,1,3,2,5] => 1
[1,1,3,5,2] => 1
[1,1,5,2,3] => 1
[1,1,5,3,2] => 1
[1,2,1,3,5] => 0
[1,2,1,5,3] => 0
[1,2,3,1,5] => 0
[1,2,3,5,1] => 0
[1,2,5,1,3] => 0
[1,2,5,3,1] => 0
[1,3,1,2,5] => 0
[1,3,1,5,2] => 0
[1,3,2,1,5] => 0
[1,3,2,5,1] => 0
[1,3,5,1,2] => 0
[1,3,5,2,1] => 0
[1,5,1,2,3] => 0
[1,5,1,3,2] => 0
[1,5,2,1,3] => 0
[1,5,2,3,1] => 0
[1,5,3,1,2] => 0
[1,5,3,2,1] => 0
[2,1,1,3,5] => 1
[2,1,1,5,3] => 1
[2,1,3,1,5] => 0
[2,1,3,5,1] => 0
[2,1,5,1,3] => 0
[2,1,5,3,1] => 0
[2,3,1,1,5] => 1
[2,3,1,5,1] => 0
[2,3,5,1,1] => 1
[2,5,1,1,3] => 1
[2,5,1,3,1] => 0
[2,5,3,1,1] => 1
[3,1,1,2,5] => 1
[3,1,1,5,2] => 1
[3,1,2,1,5] => 0
[3,1,2,5,1] => 0
[3,1,5,1,2] => 0
[3,1,5,2,1] => 0
[3,2,1,1,5] => 1
[3,2,1,5,1] => 0
[3,2,5,1,1] => 1
[3,5,1,1,2] => 1
[3,5,1,2,1] => 0
[3,5,2,1,1] => 1
[5,1,1,2,3] => 1
[5,1,1,3,2] => 1
[5,1,2,1,3] => 0
[5,1,2,3,1] => 0
[5,1,3,1,2] => 0
[5,1,3,2,1] => 0
[5,2,1,1,3] => 1
[5,2,1,3,1] => 0
[5,2,3,1,1] => 1
[5,3,1,1,2] => 1
[5,3,1,2,1] => 0
[5,3,2,1,1] => 1
[1,1,2,4,4] => 2
[1,1,4,2,4] => 1
[1,1,4,4,2] => 2
[1,2,1,4,4] => 1
[1,2,4,1,4] => 0
[1,2,4,4,1] => 1
[1,4,1,2,4] => 0
[1,4,1,4,2] => 0
[1,4,2,1,4] => 0
[1,4,2,4,1] => 0
[1,4,4,1,2] => 1
[1,4,4,2,1] => 1
[2,1,1,4,4] => 2
[2,1,4,1,4] => 0
[2,1,4,4,1] => 1
[2,4,1,1,4] => 1
[2,4,1,4,1] => 0
[2,4,4,1,1] => 2
[4,1,1,2,4] => 1
[4,1,1,4,2] => 1
[4,1,2,1,4] => 0
[4,1,2,4,1] => 0
[4,1,4,1,2] => 0
[4,1,4,2,1] => 0
[4,2,1,1,4] => 1
[4,2,1,4,1] => 0
[4,2,4,1,1] => 1
[4,4,1,1,2] => 2
[4,4,1,2,1] => 1
[4,4,2,1,1] => 2
[1,1,2,4,5] => 1
[1,1,2,5,4] => 1
[1,1,4,2,5] => 1
[1,1,4,5,2] => 1
[1,1,5,2,4] => 1
[1,1,5,4,2] => 1
[1,2,1,4,5] => 0
[1,2,1,5,4] => 0
[1,2,4,1,5] => 0
[1,2,4,5,1] => 0
[1,2,5,1,4] => 0
[1,2,5,4,1] => 0
[1,4,1,2,5] => 0
[1,4,1,5,2] => 0
[1,4,2,1,5] => 0
[1,4,2,5,1] => 0
[1,4,5,1,2] => 0
[1,4,5,2,1] => 0
[1,5,1,2,4] => 0
[1,5,1,4,2] => 0
[1,5,2,1,4] => 0
[1,5,2,4,1] => 0
[1,5,4,1,2] => 0
[1,5,4,2,1] => 0
[2,1,1,4,5] => 1
[2,1,1,5,4] => 1
[2,1,4,1,5] => 0
[2,1,4,5,1] => 0
[2,1,5,1,4] => 0
[2,1,5,4,1] => 0
[2,4,1,1,5] => 1
[2,4,1,5,1] => 0
[2,4,5,1,1] => 1
[2,5,1,1,4] => 1
[2,5,1,4,1] => 0
[2,5,4,1,1] => 1
[4,1,1,2,5] => 1
[4,1,1,5,2] => 1
[4,1,2,1,5] => 0
[4,1,2,5,1] => 0
[4,1,5,1,2] => 0
[4,1,5,2,1] => 0
[4,2,1,1,5] => 1
[4,2,1,5,1] => 0
[4,2,5,1,1] => 1
[4,5,1,1,2] => 1
[4,5,1,2,1] => 0
[4,5,2,1,1] => 1
[5,1,1,2,4] => 1
[5,1,1,4,2] => 1
[5,1,2,1,4] => 0
[5,1,2,4,1] => 0
[5,1,4,1,2] => 0
[5,1,4,2,1] => 0
[5,2,1,1,4] => 1
[5,2,1,4,1] => 0
[5,2,4,1,1] => 1
[5,4,1,1,2] => 1
[5,4,1,2,1] => 0
[5,4,2,1,1] => 1
[1,1,3,3,3] => 3
[1,3,1,3,3] => 1
[1,3,3,1,3] => 1
[1,3,3,3,1] => 2
[3,1,1,3,3] => 2
[3,1,3,1,3] => 0
[3,1,3,3,1] => 1
[3,3,1,1,3] => 2
[3,3,1,3,1] => 1
[3,3,3,1,1] => 3
[1,1,3,3,4] => 2
[1,1,3,4,3] => 1
[1,1,4,3,3] => 2
[1,3,1,3,4] => 0
[1,3,1,4,3] => 0
[1,3,3,1,4] => 1
[1,3,3,4,1] => 1
[1,3,4,1,3] => 0
[1,3,4,3,1] => 0
[1,4,1,3,3] => 1
[1,4,3,1,3] => 0
[1,4,3,3,1] => 1
[3,1,1,3,4] => 1
[3,1,1,4,3] => 1
[3,1,3,1,4] => 0
[3,1,3,4,1] => 0
[3,1,4,1,3] => 0
[3,1,4,3,1] => 0
[3,3,1,1,4] => 2
[3,3,1,4,1] => 1
[3,3,4,1,1] => 2
[3,4,1,1,3] => 1
[3,4,1,3,1] => 0
[3,4,3,1,1] => 1
[4,1,1,3,3] => 2
[4,1,3,1,3] => 0
[4,1,3,3,1] => 1
[4,3,1,1,3] => 1
[4,3,1,3,1] => 0
[4,3,3,1,1] => 2
[1,1,3,3,5] => 2
[1,1,3,5,3] => 1
[1,1,5,3,3] => 2
[1,3,1,3,5] => 0
[1,3,1,5,3] => 0
[1,3,3,1,5] => 1
[1,3,3,5,1] => 1
[1,3,5,1,3] => 0
[1,3,5,3,1] => 0
[1,5,1,3,3] => 1
[1,5,3,1,3] => 0
[1,5,3,3,1] => 1
[3,1,1,3,5] => 1
[3,1,1,5,3] => 1
[3,1,3,1,5] => 0
[3,1,3,5,1] => 0
[3,1,5,1,3] => 0
[3,1,5,3,1] => 0
[3,3,1,1,5] => 2
[3,3,1,5,1] => 1
[3,3,5,1,1] => 2
[3,5,1,1,3] => 1
[3,5,1,3,1] => 0
[3,5,3,1,1] => 1
[5,1,1,3,3] => 2
[5,1,3,1,3] => 0
[5,1,3,3,1] => 1
[5,3,1,1,3] => 1
[5,3,1,3,1] => 0
[5,3,3,1,1] => 2
[1,1,3,4,4] => 2
[1,1,4,3,4] => 1
[1,1,4,4,3] => 2
[1,3,1,4,4] => 1
[1,3,4,1,4] => 0
[1,3,4,4,1] => 1
[1,4,1,3,4] => 0
[1,4,1,4,3] => 0
[1,4,3,1,4] => 0
[1,4,3,4,1] => 0
[1,4,4,1,3] => 1
[1,4,4,3,1] => 1
[3,1,1,4,4] => 2
[3,1,4,1,4] => 0
[3,1,4,4,1] => 1
[3,4,1,1,4] => 1
[3,4,1,4,1] => 0
[3,4,4,1,1] => 2
[4,1,1,3,4] => 1
[4,1,1,4,3] => 1
[4,1,3,1,4] => 0
[4,1,3,4,1] => 0
[4,1,4,1,3] => 0
[4,1,4,3,1] => 0
[4,3,1,1,4] => 1
[4,3,1,4,1] => 0
[4,3,4,1,1] => 1
[4,4,1,1,3] => 2
[4,4,1,3,1] => 1
[4,4,3,1,1] => 2
[1,1,3,4,5] => 1
[1,1,3,5,4] => 1
[1,1,4,3,5] => 1
[1,1,4,5,3] => 1
[1,1,5,3,4] => 1
[1,1,5,4,3] => 1
[1,3,1,4,5] => 0
[1,3,1,5,4] => 0
[1,3,4,1,5] => 0
[1,3,4,5,1] => 0
[1,3,5,1,4] => 0
[1,3,5,4,1] => 0
[1,4,1,3,5] => 0
[1,4,1,5,3] => 0
[1,4,3,1,5] => 0
[1,4,3,5,1] => 0
[1,4,5,1,3] => 0
[1,4,5,3,1] => 0
[1,5,1,3,4] => 0
[1,5,1,4,3] => 0
[1,5,3,1,4] => 0
[1,5,3,4,1] => 0
[1,5,4,1,3] => 0
[1,5,4,3,1] => 0
[3,1,1,4,5] => 1
[3,1,1,5,4] => 1
[3,1,4,1,5] => 0
[3,1,4,5,1] => 0
[3,1,5,1,4] => 0
[3,1,5,4,1] => 0
[3,4,1,1,5] => 1
[3,4,1,5,1] => 0
[3,4,5,1,1] => 1
[3,5,1,1,4] => 1
[3,5,1,4,1] => 0
[3,5,4,1,1] => 1
[4,1,1,3,5] => 1
[4,1,1,5,3] => 1
[4,1,3,1,5] => 0
[4,1,3,5,1] => 0
[4,1,5,1,3] => 0
[4,1,5,3,1] => 0
[4,3,1,1,5] => 1
[4,3,1,5,1] => 0
[4,3,5,1,1] => 1
[4,5,1,1,3] => 1
[4,5,1,3,1] => 0
[4,5,3,1,1] => 1
[5,1,1,3,4] => 1
[5,1,1,4,3] => 1
[5,1,3,1,4] => 0
[5,1,3,4,1] => 0
[5,1,4,1,3] => 0
[5,1,4,3,1] => 0
[5,3,1,1,4] => 1
[5,3,1,4,1] => 0
[5,3,4,1,1] => 1
[5,4,1,1,3] => 1
[5,4,1,3,1] => 0
[5,4,3,1,1] => 1
[1,2,2,2,2] => 3
[2,1,2,2,2] => 2
[2,2,1,2,2] => 2
[2,2,2,1,2] => 2
[2,2,2,2,1] => 3
[1,2,2,2,3] => 2
[1,2,2,3,2] => 1
[1,2,3,2,2] => 1
[1,3,2,2,2] => 2
[2,1,2,2,3] => 1
[2,1,2,3,2] => 0
[2,1,3,2,2] => 1
[2,2,1,2,3] => 1
[2,2,1,3,2] => 1
[2,2,2,1,3] => 2
[2,2,2,3,1] => 2
[2,2,3,1,2] => 1
[2,2,3,2,1] => 1
[2,3,1,2,2] => 1
[2,3,2,1,2] => 0
[2,3,2,2,1] => 1
[3,1,2,2,2] => 2
[3,2,1,2,2] => 1
[3,2,2,1,2] => 1
[3,2,2,2,1] => 2
[1,2,2,2,4] => 2
[1,2,2,4,2] => 1
[1,2,4,2,2] => 1
[1,4,2,2,2] => 2
[2,1,2,2,4] => 1
[2,1,2,4,2] => 0
[2,1,4,2,2] => 1
[2,2,1,2,4] => 1
[2,2,1,4,2] => 1
[2,2,2,1,4] => 2
[2,2,2,4,1] => 2
[2,2,4,1,2] => 1
[2,2,4,2,1] => 1
[2,4,1,2,2] => 1
[2,4,2,1,2] => 0
[2,4,2,2,1] => 1
[4,1,2,2,2] => 2
[4,2,1,2,2] => 1
[4,2,2,1,2] => 1
[4,2,2,2,1] => 2
[1,2,2,2,5] => 2
[1,2,2,5,2] => 1
[1,2,5,2,2] => 1
[1,5,2,2,2] => 2
[2,1,2,2,5] => 1
[2,1,2,5,2] => 0
[2,1,5,2,2] => 1
[2,2,1,2,5] => 1
[2,2,1,5,2] => 1
[2,2,2,1,5] => 2
[2,2,2,5,1] => 2
[2,2,5,1,2] => 1
[2,2,5,2,1] => 1
[2,5,1,2,2] => 1
[2,5,2,1,2] => 0
[2,5,2,2,1] => 1
[5,1,2,2,2] => 2
[5,2,1,2,2] => 1
[5,2,2,1,2] => 1
[5,2,2,2,1] => 2
[1,2,2,3,3] => 2
[1,2,3,2,3] => 0
[1,2,3,3,2] => 1
[1,3,2,2,3] => 1
[1,3,2,3,2] => 0
[1,3,3,2,2] => 2
[2,1,2,3,3] => 1
[2,1,3,2,3] => 0
[2,1,3,3,2] => 1
[2,2,1,3,3] => 2
[2,2,3,1,3] => 1
[2,2,3,3,1] => 2
[2,3,1,2,3] => 0
[2,3,1,3,2] => 0
[2,3,2,1,3] => 0
[2,3,2,3,1] => 0
[2,3,3,1,2] => 1
[2,3,3,2,1] => 1
[3,1,2,2,3] => 1
[3,1,2,3,2] => 0
[3,1,3,2,2] => 1
[3,2,1,2,3] => 0
[3,2,1,3,2] => 0
[3,2,2,1,3] => 1
[3,2,2,3,1] => 1
[3,2,3,1,2] => 0
[3,2,3,2,1] => 0
[3,3,1,2,2] => 2
[3,3,2,1,2] => 1
[3,3,2,2,1] => 2
[1,2,2,3,4] => 1
[1,2,2,4,3] => 1
[1,2,3,2,4] => 0
[1,2,3,4,2] => 0
[1,2,4,2,3] => 0
[1,2,4,3,2] => 0
[1,3,2,2,4] => 1
[1,3,2,4,2] => 0
[1,3,4,2,2] => 1
[1,4,2,2,3] => 1
[1,4,2,3,2] => 0
[1,4,3,2,2] => 1
[2,1,2,3,4] => 0
[2,1,2,4,3] => 0
[2,1,3,2,4] => 0
[2,1,3,4,2] => 0
[2,1,4,2,3] => 0
[2,1,4,3,2] => 0
[2,2,1,3,4] => 1
[2,2,1,4,3] => 1
[2,2,3,1,4] => 1
[2,2,3,4,1] => 1
[2,2,4,1,3] => 1
[2,2,4,3,1] => 1
[2,3,1,2,4] => 0
[2,3,1,4,2] => 0
[2,3,2,1,4] => 0
[2,3,2,4,1] => 0
[2,3,4,1,2] => 0
[2,3,4,2,1] => 0
[2,4,1,2,3] => 0
[2,4,1,3,2] => 0
[2,4,2,1,3] => 0
[2,4,2,3,1] => 0
[2,4,3,1,2] => 0
[2,4,3,2,1] => 0
[3,1,2,2,4] => 1
[3,1,2,4,2] => 0
[3,1,4,2,2] => 1
[3,2,1,2,4] => 0
[3,2,1,4,2] => 0
[3,2,2,1,4] => 1
[3,2,2,4,1] => 1
[3,2,4,1,2] => 0
[3,2,4,2,1] => 0
[3,4,1,2,2] => 1
[3,4,2,1,2] => 0
[3,4,2,2,1] => 1
[4,1,2,2,3] => 1
[4,1,2,3,2] => 0
[4,1,3,2,2] => 1
[4,2,1,2,3] => 0
[4,2,1,3,2] => 0
[4,2,2,1,3] => 1
[4,2,2,3,1] => 1
[4,2,3,1,2] => 0
[4,2,3,2,1] => 0
[4,3,1,2,2] => 1
[4,3,2,1,2] => 0
[4,3,2,2,1] => 1
[1,2,2,3,5] => 1
[1,2,2,5,3] => 1
[1,2,3,2,5] => 0
[1,2,3,5,2] => 0
[1,2,5,2,3] => 0
[1,2,5,3,2] => 0
[1,3,2,2,5] => 1
[1,3,2,5,2] => 0
[1,3,5,2,2] => 1
[1,5,2,2,3] => 1
[1,5,2,3,2] => 0
[1,5,3,2,2] => 1
[2,1,2,3,5] => 0
[2,1,2,5,3] => 0
[2,1,3,2,5] => 0
[2,1,3,5,2] => 0
[2,1,5,2,3] => 0
[2,1,5,3,2] => 0
[2,2,1,3,5] => 1
[2,2,1,5,3] => 1
[2,2,3,1,5] => 1
[2,2,3,5,1] => 1
[2,2,5,1,3] => 1
[2,2,5,3,1] => 1
[2,3,1,2,5] => 0
[2,3,1,5,2] => 0
[2,3,2,1,5] => 0
[2,3,2,5,1] => 0
[2,3,5,1,2] => 0
[2,3,5,2,1] => 0
[2,5,1,2,3] => 0
[2,5,1,3,2] => 0
[2,5,2,1,3] => 0
[2,5,2,3,1] => 0
[2,5,3,1,2] => 0
[2,5,3,2,1] => 0
[3,1,2,2,5] => 1
[3,1,2,5,2] => 0
[3,1,5,2,2] => 1
[3,2,1,2,5] => 0
[3,2,1,5,2] => 0
[3,2,2,1,5] => 1
[3,2,2,5,1] => 1
[3,2,5,1,2] => 0
[3,2,5,2,1] => 0
[3,5,1,2,2] => 1
[3,5,2,1,2] => 0
[3,5,2,2,1] => 1
[5,1,2,2,3] => 1
[5,1,2,3,2] => 0
[5,1,3,2,2] => 1
[5,2,1,2,3] => 0
[5,2,1,3,2] => 0
[5,2,2,1,3] => 1
[5,2,2,3,1] => 1
[5,2,3,1,2] => 0
[5,2,3,2,1] => 0
[5,3,1,2,2] => 1
[5,3,2,1,2] => 0
[5,3,2,2,1] => 1
[1,2,2,4,4] => 2
[1,2,4,2,4] => 0
[1,2,4,4,2] => 1
[1,4,2,2,4] => 1
[1,4,2,4,2] => 0
[1,4,4,2,2] => 2
[2,1,2,4,4] => 1
[2,1,4,2,4] => 0
[2,1,4,4,2] => 1
[2,2,1,4,4] => 2
[2,2,4,1,4] => 1
[2,2,4,4,1] => 2
[2,4,1,2,4] => 0
[2,4,1,4,2] => 0
[2,4,2,1,4] => 0
[2,4,2,4,1] => 0
[2,4,4,1,2] => 1
[2,4,4,2,1] => 1
[4,1,2,2,4] => 1
[4,1,2,4,2] => 0
[4,1,4,2,2] => 1
[4,2,1,2,4] => 0
[4,2,1,4,2] => 0
[4,2,2,1,4] => 1
[4,2,2,4,1] => 1
[4,2,4,1,2] => 0
[4,2,4,2,1] => 0
[4,4,1,2,2] => 2
[4,4,2,1,2] => 1
[4,4,2,2,1] => 2
[1,2,2,4,5] => 1
[1,2,2,5,4] => 1
[1,2,4,2,5] => 0
[1,2,4,5,2] => 0
[1,2,5,2,4] => 0
[1,2,5,4,2] => 0
[1,4,2,2,5] => 1
[1,4,2,5,2] => 0
[1,4,5,2,2] => 1
[1,5,2,2,4] => 1
[1,5,2,4,2] => 0
[1,5,4,2,2] => 1
[2,1,2,4,5] => 0
[2,1,2,5,4] => 0
[2,1,4,2,5] => 0
[2,1,4,5,2] => 0
[2,1,5,2,4] => 0
[2,1,5,4,2] => 0
[2,2,1,4,5] => 1
[2,2,1,5,4] => 1
[2,2,4,1,5] => 1
[2,2,4,5,1] => 1
[2,2,5,1,4] => 1
[2,2,5,4,1] => 1
[2,4,1,2,5] => 0
[2,4,1,5,2] => 0
[2,4,2,1,5] => 0
[2,4,2,5,1] => 0
[2,4,5,1,2] => 0
[2,4,5,2,1] => 0
[2,5,1,2,4] => 0
[2,5,1,4,2] => 0
[2,5,2,1,4] => 0
[2,5,2,4,1] => 0
[2,5,4,1,2] => 0
[2,5,4,2,1] => 0
[4,1,2,2,5] => 1
[4,1,2,5,2] => 0
[4,1,5,2,2] => 1
[4,2,1,2,5] => 0
[4,2,1,5,2] => 0
[4,2,2,1,5] => 1
[4,2,2,5,1] => 1
[4,2,5,1,2] => 0
[4,2,5,2,1] => 0
[4,5,1,2,2] => 1
[4,5,2,1,2] => 0
[4,5,2,2,1] => 1
[5,1,2,2,4] => 1
[5,1,2,4,2] => 0
[5,1,4,2,2] => 1
[5,2,1,2,4] => 0
[5,2,1,4,2] => 0
[5,2,2,1,4] => 1
[5,2,2,4,1] => 1
[5,2,4,1,2] => 0
[5,2,4,2,1] => 0
[5,4,1,2,2] => 1
[5,4,2,1,2] => 0
[5,4,2,2,1] => 1
[1,2,3,3,3] => 2
[1,3,2,3,3] => 1
[1,3,3,2,3] => 1
[1,3,3,3,2] => 2
[2,1,3,3,3] => 2
[2,3,1,3,3] => 1
[2,3,3,1,3] => 1
[2,3,3,3,1] => 2
[3,1,2,3,3] => 1
[3,1,3,2,3] => 0
[3,1,3,3,2] => 1
[3,2,1,3,3] => 1
[3,2,3,1,3] => 0
[3,2,3,3,1] => 1
[3,3,1,2,3] => 1
[3,3,1,3,2] => 1
[3,3,2,1,3] => 1
[3,3,2,3,1] => 1
[3,3,3,1,2] => 2
[3,3,3,2,1] => 2
[1,2,3,3,4] => 1
[1,2,3,4,3] => 0
[1,2,4,3,3] => 1
[1,3,2,3,4] => 0
[1,3,2,4,3] => 0
[1,3,3,2,4] => 1
[1,3,3,4,2] => 1
[1,3,4,2,3] => 0
[1,3,4,3,2] => 0
[1,4,2,3,3] => 1
[1,4,3,2,3] => 0
[1,4,3,3,2] => 1
[2,1,3,3,4] => 1
[2,1,3,4,3] => 0
[2,1,4,3,3] => 1
[2,3,1,3,4] => 0
[2,3,1,4,3] => 0
[2,3,3,1,4] => 1
[2,3,3,4,1] => 1
[2,3,4,1,3] => 0
[2,3,4,3,1] => 0
[2,4,1,3,3] => 1
[2,4,3,1,3] => 0
[2,4,3,3,1] => 1
[3,1,2,3,4] => 0
[3,1,2,4,3] => 0
[3,1,3,2,4] => 0
[3,1,3,4,2] => 0
[3,1,4,2,3] => 0
[3,1,4,3,2] => 0
[3,2,1,3,4] => 0
[3,2,1,4,3] => 0
[3,2,3,1,4] => 0
[3,2,3,4,1] => 0
[3,2,4,1,3] => 0
[3,2,4,3,1] => 0
[3,3,1,2,4] => 1
[3,3,1,4,2] => 1
[3,3,2,1,4] => 1
[3,3,2,4,1] => 1
[3,3,4,1,2] => 1
[3,3,4,2,1] => 1
[3,4,1,2,3] => 0
[3,4,1,3,2] => 0
[3,4,2,1,3] => 0
[3,4,2,3,1] => 0
[3,4,3,1,2] => 0
[3,4,3,2,1] => 0
[4,1,2,3,3] => 1
[4,1,3,2,3] => 0
[4,1,3,3,2] => 1
[4,2,1,3,3] => 1
[4,2,3,1,3] => 0
[4,2,3,3,1] => 1
[4,3,1,2,3] => 0
[4,3,1,3,2] => 0
[4,3,2,1,3] => 0
[4,3,2,3,1] => 0
[1,3,2,5,3] => 0
[1,3,3,2,5] => 1
[1,5,2,3,3] => 1
[2,1,5,3,3] => 1
[2,3,3,5,1] => 1
[3,1,3,2,5] => 0
[3,5,2,3,1] => 0
[5,1,2,3,3] => 1
[5,2,3,1,3] => 0
[5,3,3,2,1] => 1
[1,4,2,4,3] => 0
[1,4,3,4,2] => 0
[2,1,4,3,4] => 0
[2,1,4,4,3] => 1
[2,3,4,1,4] => 0
[2,3,4,4,1] => 1
[2,4,1,4,3] => 0
[2,4,3,1,4] => 0
[2,4,3,4,1] => 0
[3,4,2,1,4] => 0
[3,4,2,4,1] => 0
[4,1,2,4,3] => 0
[4,1,3,4,2] => 0
[4,2,1,3,4] => 0
[4,3,1,2,4] => 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] => 0
[1,4,3,5,2] => 0
[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] => 0
[1,5,3,4,2] => 0
[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] => 0
[2,4,3,5,1] => 0
[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] => 0
[2,5,3,4,1] => 0
[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] => 0
[4,1,3,5,2] => 0
[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] => 0
[4,2,3,5,1] => 0
[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] => 0
[5,1,3,4,2] => 0
[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] => 0
[5,2,3,4,1] => 0
[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] => 0
[1,2,5,4,6,3] => 0
[1,2,5,6,3,4] => 0
[1,2,5,6,4,3] => 0
[1,2,6,3,4,5] => 0
[1,2,6,4,5,3] => 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] => 0
[1,3,5,4,6,2] => 0
[1,3,5,6,2,4] => 0
[1,3,5,6,4,2] => 0
[1,3,6,2,4,5] => 0
[1,3,6,4,5,2] => 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
[1,4,3,2,5,6] => 0
[1,4,3,2,6,5] => 0
[1,4,3,5,2,6] => 0
[1,4,3,5,6,2] => 0
[1,4,3,6,5,2] => 0
[1,4,5,2,3,6] => 0
[1,4,5,2,6,3] => 0
[1,4,5,3,2,6] => 0
[1,4,5,3,6,2] => 0
[1,4,5,6,2,3] => 0
[1,4,5,6,3,2] => 0
[1,4,6,2,3,5] => 0
[1,4,6,5,3,2] => 0
[1,5,2,3,4,6] => 0
[1,5,2,3,6,4] => 0
[1,5,2,6,3,4] => 0
[1,5,3,4,2,6] => 0
[1,5,3,4,6,2] => 0
[1,5,4,3,2,6] => 0
[1,5,4,3,6,2] => 0
[1,5,4,6,3,2] => 0
[1,5,6,2,3,4] => 0
[1,5,6,4,3,2] => 0
[1,6,2,3,4,5] => 0
[1,6,3,4,5,2] => 0
[1,6,3,5,4,2] => 0
[1,6,4,3,5,2] => 0
[1,6,4,5,3,2] => 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] => 0
[2,1,5,4,6,3] => 0
[2,1,5,6,3,4] => 0
[2,1,5,6,4,3] => 0
[2,1,6,3,4,5] => 0
[2,1,6,4,5,3] => 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] => 0
[2,3,5,4,6,1] => 0
[2,3,5,6,1,4] => 0
[2,3,5,6,4,1] => 0
[2,3,6,1,4,5] => 0
[2,3,6,4,5,1] => 0
[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
[2,4,3,1,5,6] => 0
[2,4,3,1,6,5] => 0
[2,4,3,5,1,6] => 0
[2,4,3,5,6,1] => 0
[2,4,3,6,5,1] => 0
[2,4,5,1,3,6] => 0
[2,4,5,1,6,3] => 0
[2,4,5,3,1,6] => 0
[2,4,5,3,6,1] => 0
[2,4,5,6,1,3] => 0
[2,4,5,6,3,1] => 0
[2,4,6,1,3,5] => 0
[2,4,6,5,3,1] => 0
[2,5,1,3,4,6] => 0
[2,5,1,3,6,4] => 0
[2,5,1,6,3,4] => 0
[2,5,3,4,1,6] => 0
[2,5,3,4,6,1] => 0
[2,5,4,1,6,3] => 0
[2,5,4,3,1,6] => 0
[2,5,4,3,6,1] => 0
[2,5,4,6,3,1] => 0
[2,5,6,1,3,4] => 0
[2,5,6,4,3,1] => 0
[2,6,1,3,4,5] => 0
[2,6,1,5,3,4] => 0
[2,6,3,4,5,1] => 0
[2,6,3,5,4,1] => 0
[2,6,4,1,3,5] => 0
[2,6,4,3,5,1] => 0
[2,6,4,5,1,3] => 0
[2,6,4,5,3,1] => 0
[2,6,5,1,3,4] => 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
[3,1,4,2,5,6] => 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
[3,1,5,2,4,6] => 0
[3,1,5,2,6,4] => 0
[3,1,5,6,2,4] => 0
[3,1,6,2,4,5] => 0
[3,1,6,5,2,4] => 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
[3,2,1,6,5,4] => 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
[3,2,4,6,5,1] => 0
[3,2,5,1,4,6] => 0
[3,2,5,4,1,6] => 0
[3,2,5,4,6,1] => 0
[3,2,5,6,4,1] => 0
[3,2,6,1,4,5] => 0
[3,2,6,4,5,1] => 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
[3,4,2,1,5,6] => 0
[3,4,2,1,6,5] => 0
[3,4,2,5,1,6] => 0
[3,4,2,5,6,1] => 0
[3,4,2,6,5,1] => 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
[3,4,6,5,2,1] => 0
[3,5,1,2,4,6] => 0
[3,5,1,2,6,4] => 0
[3,5,1,6,2,4] => 0
[3,5,1,6,4,2] => 0
[3,5,2,6,1,4] => 0
[3,5,2,6,4,1] => 0
[3,5,4,2,1,6] => 0
[3,5,4,2,6,1] => 0
[3,5,4,6,2,1] => 0
[3,5,6,1,2,4] => 0
[3,5,6,4,2,1] => 0
[3,6,1,2,4,5] => 0
[3,6,1,5,4,2] => 0
[3,6,2,5,1,4] => 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
[4,1,5,2,3,6] => 0
[4,1,5,2,6,3] => 0
[4,1,5,6,2,3] => 0
[4,1,6,2,3,5] => 0
[4,2,1,3,5,6] => 0
[4,2,3,1,5,6] => 0
[4,2,3,1,6,5] => 0
[4,2,3,5,1,6] => 0
[4,2,3,5,6,1] => 0
[4,2,3,6,5,1] => 0
[4,2,5,1,3,6] => 0
[4,2,6,1,3,5] => 0
[4,3,1,2,5,6] => 0
[4,3,1,5,6,2] => 0
[4,3,1,6,2,5] => 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
[4,3,5,2,1,6] => 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
[4,3,6,5,2,1] => 0
[4,5,1,2,3,6] => 0
[4,5,1,2,6,3] => 0
[4,5,1,6,2,3] => 0
[4,5,2,1,3,6] => 0
[4,5,2,3,1,6] => 0
[4,5,2,3,6,1] => 0
[4,5,3,1,2,6] => 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
[4,6,2,5,1,3] => 0
[4,6,3,5,1,2] => 0
[4,6,5,1,3,2] => 0
[4,6,5,3,2,1] => 0
[5,1,2,3,4,6] => 0
[5,1,2,3,6,4] => 0
[5,1,2,6,3,4] => 0
[5,1,4,2,6,3] => 0
[5,1,6,2,3,4] => 0
[5,2,1,3,4,6] => 0
[5,2,3,1,4,6] => 0
[5,2,3,4,1,6] => 0
[5,2,3,4,6,1] => 0
[5,2,4,1,3,6] => 0
[5,2,4,3,1,6] => 0
[5,2,4,3,6,1] => 0
[5,2,6,1,3,4] => 0
[5,3,1,2,4,6] => 0
[5,3,1,2,6,4] => 0
[5,3,2,1,4,6] => 0
[5,3,2,4,1,6] => 0
[5,3,2,4,6,1] => 0
[5,3,2,6,1,4] => 0
[5,3,4,1,2,6] => 0
[5,3,4,1,6,2] => 0
[5,3,4,2,1,6] => 0
[5,3,4,2,6,1] => 0
[5,3,4,6,1,2] => 0
[5,3,4,6,2,1] => 0
[5,3,6,1,2,4] => 0
[5,4,1,2,3,6] => 0
[5,4,1,2,6,3] => 0
[5,4,2,1,3,6] => 0
[5,4,2,3,1,6] => 0
[5,4,2,3,6,1] => 0
[5,4,2,6,1,3] => 0
[5,4,3,1,2,6] => 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
[5,4,6,2,1,3] => 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
[5,6,2,1,3,4] => 0
[5,6,2,3,1,4] => 0
[5,6,2,3,4,1] => 0
[5,6,2,4,1,3] => 0
[5,6,3,1,2,4] => 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
[5,6,4,2,1,3] => 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
[6,1,2,5,3,4] => 0
[6,1,4,2,3,5] => 0
[6,1,4,5,2,3] => 0
[6,1,5,2,3,4] => 0
[6,2,1,3,4,5] => 0
[6,2,3,1,4,5] => 0
[6,2,3,4,1,5] => 0
[6,2,3,4,5,1] => 0
[6,2,3,5,4,1] => 0
[6,2,4,1,3,5] => 0
[6,2,4,3,5,1] => 0
[6,2,4,5,3,1] => 0
[6,2,5,1,3,4] => 0
[6,2,5,4,3,1] => 0
[6,3,1,2,4,5] => 0
[6,3,1,5,2,4] => 0
[6,3,2,1,4,5] => 0
[6,3,2,4,1,5] => 0
[6,3,2,4,5,1] => 0
[6,3,2,5,1,4] => 0
[6,3,2,5,4,1] => 0
[6,3,4,1,2,5] => 0
[6,3,4,2,1,5] => 0
[6,3,4,2,5,1] => 0
[6,3,4,5,1,2] => 0
[6,3,4,5,2,1] => 0
[6,3,5,1,2,4] => 0
[6,3,5,4,2,1] => 0
[6,4,1,2,3,5] => 0
[6,4,1,5,2,3] => 0
[6,4,2,1,3,5] => 0
[6,4,2,3,1,5] => 0
[6,4,2,3,5,1] => 0
[6,4,2,5,1,3] => 0
[6,4,3,1,2,5] => 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
[6,4,5,2,1,3] => 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
[6,5,2,1,3,4] => 0
[6,5,2,3,1,4] => 0
[6,5,2,3,4,1] => 0
[6,5,2,4,1,3] => 0
[6,5,3,1,2,4] => 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
[6,5,4,2,1,3] => 0
[6,5,4,2,3,1] => 0
[6,5,4,3,1,2] => 0
[6,5,4,3,2,1] => 0
[2,3,4,5,6,7,1] => 0
[2,3,4,5,7,1,6] => 0
[2,3,4,6,1,7,5] => 0
[2,3,4,7,1,5,6] => 0
[2,3,4,7,6,1,5] => 0
[2,3,5,1,6,7,4] => 0
[2,3,5,1,7,4,6] => 0
[2,3,6,1,4,7,5] => 0
[2,3,6,5,1,7,4] => 0
[2,3,7,1,4,5,6] => 0
[2,3,7,1,6,4,5] => 0
[2,3,7,5,1,4,6] => 0
[2,3,7,5,6,1,4] => 0
[2,3,7,6,1,4,5] => 0
[2,4,1,5,6,7,3] => 0
[2,4,1,5,7,3,6] => 0
[2,4,1,6,3,7,5] => 0
[2,4,1,7,3,5,6] => 0
[2,4,1,7,6,3,5] => 0
[2,5,1,3,6,7,4] => 0
[2,5,1,3,7,4,6] => 0
[2,5,4,1,6,7,3] => 0
[2,5,4,1,7,3,6] => 0
[2,6,1,3,4,7,5] => 0
[2,6,1,5,3,7,4] => 0
[2,6,4,1,3,7,5] => 0
[2,6,4,5,1,7,3] => 0
[2,6,5,1,3,7,4] => 0
[2,6,7,1,3,4,5] => 0
[2,7,1,3,4,5,6] => 0
[2,7,1,3,6,4,5] => 0
[2,7,1,5,3,4,6] => 0
[2,7,1,5,6,3,4] => 0
[2,7,1,6,3,4,5] => 0
[2,7,4,1,3,5,6] => 0
[2,7,4,1,6,3,5] => 0
[2,7,4,5,1,3,6] => 0
[2,7,4,5,6,1,3] => 0
[2,7,4,6,1,3,5] => 0
[2,7,5,1,3,4,6] => 0
[2,7,5,1,6,3,4] => 0
[2,7,6,5,1,3,4] => 0
[3,1,4,5,6,7,2] => 0
[3,1,4,5,7,2,6] => 0
[3,1,4,6,2,7,5] => 0
[3,1,4,7,2,5,6] => 0
[3,1,4,7,6,2,5] => 0
[3,1,5,2,6,7,4] => 0
[3,1,5,2,7,4,6] => 0
[3,1,6,2,4,7,5] => 0
[3,1,6,5,2,7,4] => 0
[3,1,7,2,4,5,6] => 0
[3,1,7,2,6,4,5] => 0
[3,1,7,5,2,4,6] => 0
[3,1,7,5,6,2,4] => 0
[3,1,7,6,2,4,5] => 0
[4,1,2,5,6,7,3] => 0
[4,1,2,5,7,3,6] => 0
[4,1,2,6,3,7,5] => 0
[4,1,2,7,3,5,6] => 0
[4,1,2,7,6,3,5] => 0
[4,3,1,5,6,7,2] => 0
[4,3,1,5,7,2,6] => 0
[4,3,1,6,2,7,5] => 0
[4,3,1,7,2,5,6] => 0
[4,3,1,7,6,2,5] => 0
[5,1,2,3,6,7,4] => 0
[5,1,2,3,7,4,6] => 0
[5,1,4,2,6,7,3] => 0
[5,1,4,2,7,3,6] => 0
[5,3,1,2,6,7,4] => 0
[5,3,1,2,7,4,6] => 0
[5,3,4,1,6,7,2] => 0
[5,3,4,1,7,2,6] => 0
[5,4,1,2,6,7,3] => 0
[5,4,1,2,7,3,6] => 0
[5,6,1,2,3,7,4] => 0
[5,7,1,2,3,4,6] => 0
[5,7,1,2,6,3,4] => 0
[6,1,2,3,4,7,5] => 0
[6,1,2,5,3,7,4] => 0
[6,1,4,2,3,7,5] => 0
[6,1,4,5,2,7,3] => 0
[6,1,5,2,3,7,4] => 0
[6,1,7,2,3,4,5] => 0
[6,3,1,2,4,7,5] => 0
[6,3,1,5,2,7,4] => 0
[6,3,4,1,2,7,5] => 0
[6,3,4,5,1,7,2] => 0
[6,3,5,1,2,7,4] => 0
[6,3,7,1,2,4,5] => 0
[6,4,1,2,3,7,5] => 0
[6,4,1,5,2,7,3] => 0
[6,5,4,1,2,7,3] => 0
[6,7,1,5,2,3,4] => 0
[6,7,4,1,2,3,5] => 0
[6,7,5,1,2,3,4] => 0
[7,1,2,3,4,5,6] => 0
[7,1,2,3,6,4,5] => 0
[7,1,2,5,3,4,6] => 0
[7,1,2,5,6,3,4] => 0
[7,1,2,6,3,4,5] => 0
[7,1,4,2,3,5,6] => 0
[7,1,4,2,6,3,5] => 0
[7,1,4,5,2,3,6] => 0
[7,1,4,5,6,2,3] => 0
[7,1,4,6,2,3,5] => 0
[7,1,5,2,3,4,6] => 0
[7,1,5,2,6,3,4] => 0
[7,1,6,5,2,3,4] => 0
[7,3,1,2,4,5,6] => 0
[7,3,1,2,6,4,5] => 0
[7,3,1,5,2,4,6] => 0
[7,3,1,5,6,2,4] => 0
[7,3,1,6,2,4,5] => 0
[7,3,4,1,2,5,6] => 0
[7,3,4,1,6,2,5] => 0
[7,3,4,5,1,2,6] => 0
[7,3,4,5,6,1,2] => 0
[7,3,4,6,1,2,5] => 0
[7,3,5,1,2,4,6] => 0
[7,3,5,1,6,2,4] => 0
[7,3,6,5,1,2,4] => 0
[7,4,1,2,3,5,6] => 0
[7,4,1,2,6,3,5] => 0
[7,4,1,5,2,3,6] => 0
[7,4,1,5,6,2,3] => 0
[7,4,1,6,2,3,5] => 0
[7,5,4,1,2,3,6] => 0
[7,5,4,1,6,2,3] => 0
[7,6,1,2,3,4,5] => 0
[7,6,4,5,1,2,3] => 0
[2,1,4,3,6,5,8,7] => 0
[3,4,1,2,6,5,8,7] => 0
[3,4,2,1,6,5,8,7] => 0
[3,5,2,6,1,4,8,7] => 0
[3,5,2,6,4,1,8,7] => 0
[3,5,2,7,4,8,1,6] => 0
[3,5,2,7,4,8,6,1] => 0
[4,5,7,2,3,8,6,1] => 0
[4,5,7,2,3,8,1,6] => 0
[4,5,6,2,3,1,8,7] => 0
[4,5,6,2,1,3,8,7] => 0
[4,5,6,1,2,3,8,7] => 0
[3,5,1,6,2,4,8,7] => 0
[2,1,5,6,3,4,8,7] => 0
[2,1,5,6,4,3,8,7] => 0
[3,5,1,6,4,2,8,7] => 0
[4,5,6,1,3,2,8,7] => 0
[4,5,6,3,1,2,8,7] => 0
[4,5,6,3,2,1,8,7] => 0
[4,5,7,3,2,8,1,6] => 0
[4,5,7,3,2,8,6,1] => 0
[4,6,7,3,8,2,5,1] => 0
[4,6,7,3,8,2,1,5] => 0
[4,6,7,3,8,1,2,5] => 0
[4,5,7,3,1,8,2,6] => 0
[4,5,7,1,3,8,2,6] => 0
[3,5,1,7,4,8,2,6] => 0
[2,1,5,7,4,8,3,6] => 0
[2,1,5,7,4,8,6,3] => 0
[3,5,1,7,4,8,6,2] => 0
[4,5,7,1,3,8,6,2] => 0
[4,5,7,3,1,8,6,2] => 0
[4,6,7,3,8,1,5,2] => 0
[4,6,7,3,8,5,1,2] => 0
[4,6,7,3,8,5,2,1] => 0
[5,6,7,8,3,4,2,1] => 0
[5,6,7,8,3,4,1,2] => 0
[5,6,7,8,3,1,4,2] => 0
[5,6,7,8,1,3,4,2] => 0
[4,6,7,1,8,3,5,2] => 0
[3,6,1,7,8,4,5,2] => 0
[2,1,6,7,8,4,5,3] => 0
[2,1,6,7,8,4,3,5] => 0
[3,6,1,7,8,4,2,5] => 0
[4,6,7,1,8,3,2,5] => 0
[5,6,7,8,1,3,2,4] => 0
[5,6,7,8,3,1,2,4] => 0
[5,6,7,8,3,2,1,4] => 0
[5,6,7,8,3,2,4,1] => 0
[5,6,7,8,2,3,4,1] => 0
[5,6,7,8,2,3,1,4] => 0
[5,6,7,8,2,1,3,4] => 0
[5,6,7,8,1,2,3,4] => 0
[4,6,7,1,8,2,3,5] => 0
[3,6,1,7,8,2,4,5] => 0
[2,1,6,7,8,3,4,5] => 0
[2,1,5,7,3,8,4,6] => 0
[3,5,1,7,2,8,4,6] => 0
[4,5,7,1,2,8,3,6] => 0
[4,5,7,2,1,8,3,6] => 0
[4,6,7,2,8,1,3,5] => 0
[4,6,7,2,8,3,1,5] => 0
[4,6,7,2,8,3,5,1] => 0
[3,6,2,7,8,4,5,1] => 0
[3,6,2,7,8,4,1,5] => 0
[3,6,2,7,8,1,4,5] => 0
[3,5,2,7,1,8,4,6] => 0
[3,4,2,1,7,8,5,6] => 0
[3,4,1,2,7,8,5,6] => 0
[2,1,4,3,7,8,5,6] => 0
[2,1,4,3,7,8,6,5] => 0
[3,4,1,2,7,8,6,5] => 0
[3,4,2,1,7,8,6,5] => 0
[3,5,2,7,1,8,6,4] => 0
[3,6,2,7,8,1,5,4] => 0
[3,6,2,7,8,5,1,4] => 0
[3,6,2,7,8,5,4,1] => 0
[4,6,7,2,8,5,3,1] => 0
[4,6,7,2,8,5,1,3] => 0
[4,6,7,2,8,1,5,3] => 0
[4,5,7,2,1,8,6,3] => 0
[4,5,7,1,2,8,6,3] => 0
[3,5,1,7,2,8,6,4] => 0
[2,1,5,7,3,8,6,4] => 0
[2,1,6,7,8,3,5,4] => 0
[3,6,1,7,8,2,5,4] => 0
[4,6,7,1,8,2,5,3] => 0
[5,6,7,8,1,2,4,3] => 0
[5,6,7,8,2,1,4,3] => 0
[5,6,7,8,2,4,1,3] => 0
[5,6,7,8,2,4,3,1] => 0
[5,6,7,8,4,2,3,1] => 0
[5,6,7,8,4,2,1,3] => 0
[5,6,7,8,4,1,2,3] => 0
[5,6,7,8,1,4,2,3] => 0
[4,6,7,1,8,5,2,3] => 0
[3,6,1,7,8,5,2,4] => 0
[2,1,6,7,8,5,3,4] => 0
[2,1,6,7,8,5,4,3] => 0
[3,6,1,7,8,5,4,2] => 0
[4,6,7,1,8,5,3,2] => 0
[5,6,7,8,1,4,3,2] => 0
[5,6,7,8,4,1,3,2] => 0
[5,6,7,8,4,3,1,2] => 0
[5,6,7,8,4,3,2,1] => 0
[4,3,2,1,6,5,8,7] => 0
[5,3,2,6,1,4,8,7] => 0
[6,3,2,5,4,1,8,7] => 0
[7,3,2,5,4,8,1,6] => 0
[8,3,2,5,4,7,6,1] => 0
[8,4,5,2,3,7,6,1] => 0
[7,4,5,2,3,8,1,6] => 0
[6,4,5,2,3,1,8,7] => 0
[5,4,6,2,1,3,8,7] => 0
[2,1,6,5,4,3,8,7] => 0
[3,6,1,5,4,2,8,7] => 0
[4,6,5,1,3,2,8,7] => 0
[5,6,4,3,1,2,8,7] => 0
[6,5,4,3,2,1,8,7] => 0
[7,5,4,3,2,8,1,6] => 0
[8,5,4,3,2,7,6,1] => 0
[8,6,4,3,7,2,5,1] => 0
[7,6,4,3,8,2,1,5] => 0
[6,7,4,3,8,1,2,5] => 0
[5,7,4,3,1,8,2,6] => 0
[4,7,5,1,3,8,2,6] => 0
[3,7,1,5,4,8,2,6] => 0
[2,1,7,5,4,8,3,6] => 0
[2,1,8,5,4,7,6,3] => 0
[3,8,1,5,4,7,6,2] => 0
[4,8,5,1,3,7,6,2] => 0
[5,8,4,3,1,7,6,2] => 0
[6,8,4,3,7,1,5,2] => 0
[7,8,4,3,6,5,1,2] => 0
[8,7,4,3,6,5,2,1] => 0
[8,7,5,6,3,4,2,1] => 0
[7,8,5,6,3,4,1,2] => 0
[6,8,5,7,3,1,4,2] => 0
[5,8,6,7,1,3,4,2] => 0
[4,8,6,1,7,3,5,2] => 0
[3,8,1,6,7,4,5,2] => 0
[2,1,8,6,7,4,5,3] => 0
[2,1,7,6,8,4,3,5] => 0
[3,7,1,6,8,4,2,5] => 0
[4,7,6,1,8,3,2,5] => 0
[5,7,6,8,1,3,2,4] => 0
[6,7,5,8,3,1,2,4] => 0
[7,6,5,8,3,2,1,4] => 0
[8,6,5,7,3,2,4,1] => 0
[8,5,6,7,2,3,4,1] => 0
[7,5,6,8,2,3,1,4] => 0
[6,5,7,8,2,1,3,4] => 0
[5,4,7,2,1,8,3,6] => 0
[6,4,7,2,8,1,3,5] => 0
[7,4,6,2,8,3,1,5] => 0
[8,4,6,2,7,3,5,1] => 0
[8,3,2,6,7,4,5,1] => 0
[7,3,2,6,8,4,1,5] => 0
[6,3,2,7,8,1,4,5] => 0
[5,3,2,7,1,8,4,6] => 0
[4,3,2,1,7,8,5,6] => 0
[2,1,4,3,8,7,6,5] => 0
[3,4,1,2,8,7,6,5] => 0
[4,3,2,1,8,7,6,5] => 0
[5,3,2,8,1,7,6,4] => 0
[6,3,2,8,7,1,5,4] => 0
[7,3,2,8,6,5,1,4] => 0
[8,3,2,7,6,5,4,1] => 0
[8,4,7,2,6,5,3,1] => 0
[7,4,8,2,6,5,1,3] => 0
[6,4,8,2,7,1,5,3] => 0
[5,4,8,2,1,7,6,3] => 0
[4,5,8,1,2,7,6,3] => 0
[3,5,1,8,2,7,6,4] => 0
[2,1,5,8,3,7,6,4] => 0
[2,1,6,8,7,3,5,4] => 0
[3,6,1,8,7,2,5,4] => 0
[4,6,8,1,7,2,5,3] => 0
[5,6,8,7,1,2,4,3] => 0
[6,5,8,7,2,1,4,3] => 0
[7,5,8,6,2,4,1,3] => 0
[8,5,7,6,2,4,3,1] => 0
[8,6,7,5,4,2,3,1] => 0
[7,6,8,5,4,2,1,3] => 0
[6,7,8,5,4,1,2,3] => 0
[5,7,8,6,1,4,2,3] => 0
[4,7,8,1,6,5,2,3] => 0
[3,7,1,8,6,5,2,4] => 0
[2,1,7,8,6,5,3,4] => 0
[2,1,8,7,6,5,4,3] => 0
[3,8,1,7,6,5,4,2] => 0
[4,8,7,1,6,5,3,2] => 0
[5,8,7,6,1,4,3,2] => 0
[6,8,7,5,4,1,3,2] => 0
[7,8,6,5,4,3,1,2] => 0
[8,7,6,5,4,3,2,1] => 0
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Created: May 26, 2024 at 16:24 by Jennifer Elder
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Last Updated: Jul 30, 2024 at 11:30 by Martin Rubey