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* www.FindStat.org - The Combinatorial Statistic Finder *
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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, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St001928
-----------------------------------------------------------------------------
Collection: Permutations
-----------------------------------------------------------------------------
Description: The number of non-overlapping descents in a permutation.
In other words, any maximal descending subsequence $\pi_i,\pi_{i+1},\dots,\pi_k$ contributes $\lfloor\frac{k-i+1}{2}\rfloor$ to the total count.
-----------------------------------------------------------------------------
References: [1] Kitaev, S., Zhang, P. B. Non-overlapping descents and ascents in stack-sortable permutations [[arXiv:2310.17236]]
-----------------------------------------------------------------------------
Code:
def statistic(pi):
p = Permutation([2,1])
from sage.combinat.permutation import to_standard
k = len(p)
i = 0
c = 0
while i <= len(pi) - k:
if to_standard(pi[i:i+k]) == p:
c += 1
i += k
else:
i += 1
return c
def generating_function(n):
P.<x> = QQ[]
L.<t> = LazyPowerSeriesRing(P)
gf = exp(t)/(1-x*(1+(t-1)*exp(t)))
return factorial(n)*gf[n]
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[1,2] => 0
[2,1] => 1
[1,2,3] => 0
[1,3,2] => 1
[2,1,3] => 1
[2,3,1] => 1
[3,1,2] => 1
[3,2,1] => 1
[1,2,3,4] => 0
[1,2,4,3] => 1
[1,3,2,4] => 1
[1,3,4,2] => 1
[1,4,2,3] => 1
[1,4,3,2] => 1
[2,1,3,4] => 1
[2,1,4,3] => 2
[2,3,1,4] => 1
[2,3,4,1] => 1
[2,4,1,3] => 1
[2,4,3,1] => 1
[3,1,2,4] => 1
[3,1,4,2] => 2
[3,2,1,4] => 1
[3,2,4,1] => 2
[3,4,1,2] => 1
[3,4,2,1] => 1
[4,1,2,3] => 1
[4,1,3,2] => 2
[4,2,1,3] => 1
[4,2,3,1] => 2
[4,3,1,2] => 1
[4,3,2,1] => 2
[1,2,3,4,5] => 0
[1,2,3,5,4] => 1
[1,2,4,3,5] => 1
[1,2,4,5,3] => 1
[1,2,5,3,4] => 1
[1,2,5,4,3] => 1
[1,3,2,4,5] => 1
[1,3,2,5,4] => 2
[1,3,4,2,5] => 1
[1,3,4,5,2] => 1
[1,3,5,2,4] => 1
[1,3,5,4,2] => 1
[1,4,2,3,5] => 1
[1,4,2,5,3] => 2
[1,4,3,2,5] => 1
[1,4,3,5,2] => 2
[1,4,5,2,3] => 1
[1,4,5,3,2] => 1
[1,5,2,3,4] => 1
[1,5,2,4,3] => 2
[1,5,3,2,4] => 1
[1,5,3,4,2] => 2
[1,5,4,2,3] => 1
[1,5,4,3,2] => 2
[2,1,3,4,5] => 1
[2,1,3,5,4] => 2
[2,1,4,3,5] => 2
[2,1,4,5,3] => 2
[2,1,5,3,4] => 2
[2,1,5,4,3] => 2
[2,3,1,4,5] => 1
[2,3,1,5,4] => 2
[2,3,4,1,5] => 1
[2,3,4,5,1] => 1
[2,3,5,1,4] => 1
[2,3,5,4,1] => 1
[2,4,1,3,5] => 1
[2,4,1,5,3] => 2
[2,4,3,1,5] => 1
[2,4,3,5,1] => 2
[2,4,5,1,3] => 1
[2,4,5,3,1] => 1
[2,5,1,3,4] => 1
[2,5,1,4,3] => 2
[2,5,3,1,4] => 1
[2,5,3,4,1] => 2
[2,5,4,1,3] => 1
[2,5,4,3,1] => 2
[3,1,2,4,5] => 1
[3,1,2,5,4] => 2
[3,1,4,2,5] => 2
[3,1,4,5,2] => 2
[3,1,5,2,4] => 2
[3,1,5,4,2] => 2
[3,2,1,4,5] => 1
[3,2,1,5,4] => 2
[3,2,4,1,5] => 2
[3,2,4,5,1] => 2
[3,2,5,1,4] => 2
[3,2,5,4,1] => 2
[3,4,1,2,5] => 1
[3,4,1,5,2] => 2
[3,4,2,1,5] => 1
[3,4,2,5,1] => 2
[3,4,5,1,2] => 1
[3,4,5,2,1] => 1
[3,5,1,2,4] => 1
[3,5,1,4,2] => 2
[3,5,2,1,4] => 1
[3,5,2,4,1] => 2
[3,5,4,1,2] => 1
[3,5,4,2,1] => 2
[4,1,2,3,5] => 1
[4,1,2,5,3] => 2
[4,1,3,2,5] => 2
[4,1,3,5,2] => 2
[4,1,5,2,3] => 2
[4,1,5,3,2] => 2
[4,2,1,3,5] => 1
[4,2,1,5,3] => 2
[4,2,3,1,5] => 2
[4,2,3,5,1] => 2
[4,2,5,1,3] => 2
[4,2,5,3,1] => 2
[4,3,1,2,5] => 1
[4,3,1,5,2] => 2
[4,3,2,1,5] => 2
[4,3,2,5,1] => 2
[4,3,5,1,2] => 2
[4,3,5,2,1] => 2
[4,5,1,2,3] => 1
[4,5,1,3,2] => 2
[4,5,2,1,3] => 1
[4,5,2,3,1] => 2
[4,5,3,1,2] => 1
[4,5,3,2,1] => 2
[5,1,2,3,4] => 1
[5,1,2,4,3] => 2
[5,1,3,2,4] => 2
[5,1,3,4,2] => 2
[5,1,4,2,3] => 2
[5,1,4,3,2] => 2
[5,2,1,3,4] => 1
[5,2,1,4,3] => 2
[5,2,3,1,4] => 2
[5,2,3,4,1] => 2
[5,2,4,1,3] => 2
[5,2,4,3,1] => 2
[5,3,1,2,4] => 1
[5,3,1,4,2] => 2
[5,3,2,1,4] => 2
[5,3,2,4,1] => 2
[5,3,4,1,2] => 2
[5,3,4,2,1] => 2
[5,4,1,2,3] => 1
[5,4,1,3,2] => 2
[5,4,2,1,3] => 2
[5,4,2,3,1] => 2
[5,4,3,1,2] => 2
[5,4,3,2,1] => 2
[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] => 1
[1,2,3,6,4,5] => 1
[1,2,3,6,5,4] => 1
[1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => 1
[1,2,4,5,6,3] => 1
[1,2,4,6,3,5] => 1
[1,2,4,6,5,3] => 1
[1,2,5,3,4,6] => 1
[1,2,5,3,6,4] => 2
[1,2,5,4,3,6] => 1
[1,2,5,4,6,3] => 2
[1,2,5,6,3,4] => 1
[1,2,5,6,4,3] => 1
[1,2,6,3,4,5] => 1
[1,2,6,3,5,4] => 2
[1,2,6,4,3,5] => 1
[1,2,6,4,5,3] => 2
[1,2,6,5,3,4] => 1
[1,2,6,5,4,3] => 2
[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] => 2
[1,3,2,6,4,5] => 2
[1,3,2,6,5,4] => 2
[1,3,4,2,5,6] => 1
[1,3,4,2,6,5] => 2
[1,3,4,5,2,6] => 1
[1,3,4,5,6,2] => 1
[1,3,4,6,2,5] => 1
[1,3,4,6,5,2] => 1
[1,3,5,2,4,6] => 1
[1,3,5,2,6,4] => 2
[1,3,5,4,2,6] => 1
[1,3,5,4,6,2] => 2
[1,3,5,6,2,4] => 1
[1,3,5,6,4,2] => 1
[1,3,6,2,4,5] => 1
[1,3,6,2,5,4] => 2
[1,3,6,4,2,5] => 1
[1,3,6,4,5,2] => 2
[1,3,6,5,2,4] => 1
[1,3,6,5,4,2] => 2
[1,4,2,3,5,6] => 1
[1,4,2,3,6,5] => 2
[1,4,2,5,3,6] => 2
[1,4,2,5,6,3] => 2
[1,4,2,6,3,5] => 2
[1,4,2,6,5,3] => 2
[1,4,3,2,5,6] => 1
[1,4,3,2,6,5] => 2
[1,4,3,5,2,6] => 2
[1,4,3,5,6,2] => 2
[1,4,3,6,2,5] => 2
[1,4,3,6,5,2] => 2
[1,4,5,2,3,6] => 1
[1,4,5,2,6,3] => 2
[1,4,5,3,2,6] => 1
[1,4,5,3,6,2] => 2
[1,4,5,6,2,3] => 1
[1,4,5,6,3,2] => 1
[1,4,6,2,3,5] => 1
[1,4,6,2,5,3] => 2
[1,4,6,3,2,5] => 1
[1,4,6,3,5,2] => 2
[1,4,6,5,2,3] => 1
[1,4,6,5,3,2] => 2
[1,5,2,3,4,6] => 1
[1,5,2,3,6,4] => 2
[1,5,2,4,3,6] => 2
[1,5,2,4,6,3] => 2
[1,5,2,6,3,4] => 2
[1,5,2,6,4,3] => 2
[1,5,3,2,4,6] => 1
[1,5,3,2,6,4] => 2
[1,5,3,4,2,6] => 2
[1,5,3,4,6,2] => 2
[1,5,3,6,2,4] => 2
[1,5,3,6,4,2] => 2
[1,5,4,2,3,6] => 1
[1,5,4,2,6,3] => 2
[1,5,4,3,2,6] => 2
[1,5,4,3,6,2] => 2
[1,5,4,6,2,3] => 2
[1,5,4,6,3,2] => 2
[1,5,6,2,3,4] => 1
[1,5,6,2,4,3] => 2
[1,5,6,3,2,4] => 1
[1,5,6,3,4,2] => 2
[1,5,6,4,2,3] => 1
[1,5,6,4,3,2] => 2
[1,6,2,3,4,5] => 1
[1,6,2,3,5,4] => 2
[1,6,2,4,3,5] => 2
[1,6,2,4,5,3] => 2
[1,6,2,5,3,4] => 2
[1,6,2,5,4,3] => 2
[1,6,3,2,4,5] => 1
[1,6,3,2,5,4] => 2
[1,6,3,4,2,5] => 2
[1,6,3,4,5,2] => 2
[1,6,3,5,2,4] => 2
[1,6,3,5,4,2] => 2
[1,6,4,2,3,5] => 1
[1,6,4,2,5,3] => 2
[1,6,4,3,2,5] => 2
[1,6,4,3,5,2] => 2
[1,6,4,5,2,3] => 2
[1,6,4,5,3,2] => 2
[1,6,5,2,3,4] => 1
[1,6,5,2,4,3] => 2
[1,6,5,3,2,4] => 2
[1,6,5,3,4,2] => 2
[1,6,5,4,2,3] => 2
[1,6,5,4,3,2] => 2
[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] => 2
[2,1,3,6,4,5] => 2
[2,1,3,6,5,4] => 2
[2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => 3
[2,1,4,5,3,6] => 2
[2,1,4,5,6,3] => 2
[2,1,4,6,3,5] => 2
[2,1,4,6,5,3] => 2
[2,1,5,3,4,6] => 2
[2,1,5,3,6,4] => 3
[2,1,5,4,3,6] => 2
[2,1,5,4,6,3] => 3
[2,1,5,6,3,4] => 2
[2,1,5,6,4,3] => 2
[2,1,6,3,4,5] => 2
[2,1,6,3,5,4] => 3
[2,1,6,4,3,5] => 2
[2,1,6,4,5,3] => 3
[2,1,6,5,3,4] => 2
[2,1,6,5,4,3] => 3
[2,3,1,4,5,6] => 1
[2,3,1,4,6,5] => 2
[2,3,1,5,4,6] => 2
[2,3,1,5,6,4] => 2
[2,3,1,6,4,5] => 2
[2,3,1,6,5,4] => 2
[2,3,4,1,5,6] => 1
[2,3,4,1,6,5] => 2
[2,3,4,5,1,6] => 1
[2,3,4,5,6,1] => 1
[2,3,4,6,1,5] => 1
[2,3,4,6,5,1] => 1
[2,3,5,1,4,6] => 1
[2,3,5,1,6,4] => 2
[2,3,5,4,1,6] => 1
[2,3,5,4,6,1] => 2
[2,3,5,6,1,4] => 1
[2,3,5,6,4,1] => 1
[2,3,6,1,4,5] => 1
[2,3,6,1,5,4] => 2
[2,3,6,4,1,5] => 1
[2,3,6,4,5,1] => 2
[2,3,6,5,1,4] => 1
[2,3,6,5,4,1] => 2
[2,4,1,3,5,6] => 1
[2,4,1,3,6,5] => 2
[2,4,1,5,3,6] => 2
[2,4,1,5,6,3] => 2
[2,4,1,6,3,5] => 2
[2,4,1,6,5,3] => 2
[2,4,3,1,5,6] => 1
[2,4,3,1,6,5] => 2
[2,4,3,5,1,6] => 2
[2,4,3,5,6,1] => 2
[2,4,3,6,1,5] => 2
[2,4,3,6,5,1] => 2
[2,4,5,1,3,6] => 1
[2,4,5,1,6,3] => 2
[2,4,5,3,1,6] => 1
[2,4,5,3,6,1] => 2
[2,4,5,6,1,3] => 1
[2,4,5,6,3,1] => 1
[2,4,6,1,3,5] => 1
[2,4,6,1,5,3] => 2
[2,4,6,3,1,5] => 1
[2,4,6,3,5,1] => 2
[2,4,6,5,1,3] => 1
[2,4,6,5,3,1] => 2
[2,5,1,3,4,6] => 1
[2,5,1,3,6,4] => 2
[2,5,1,4,3,6] => 2
[2,5,1,4,6,3] => 2
[2,5,1,6,3,4] => 2
[2,5,1,6,4,3] => 2
[2,5,3,1,4,6] => 1
[2,5,3,1,6,4] => 2
[2,5,3,4,1,6] => 2
[2,5,3,4,6,1] => 2
[2,5,3,6,1,4] => 2
[2,5,3,6,4,1] => 2
[2,5,4,1,3,6] => 1
[2,5,4,1,6,3] => 2
[2,5,4,3,1,6] => 2
[2,5,4,3,6,1] => 2
[2,5,4,6,1,3] => 2
[2,5,4,6,3,1] => 2
[2,5,6,1,3,4] => 1
[2,5,6,1,4,3] => 2
[2,5,6,3,1,4] => 1
[2,5,6,3,4,1] => 2
[2,5,6,4,1,3] => 1
[2,5,6,4,3,1] => 2
[2,6,1,3,4,5] => 1
[2,6,1,3,5,4] => 2
[2,6,1,4,3,5] => 2
[2,6,1,4,5,3] => 2
[2,6,1,5,3,4] => 2
[2,6,1,5,4,3] => 2
[2,6,3,1,4,5] => 1
[2,6,3,1,5,4] => 2
[2,6,3,4,1,5] => 2
[2,6,3,4,5,1] => 2
[2,6,3,5,1,4] => 2
[2,6,3,5,4,1] => 2
[2,6,4,1,3,5] => 1
[2,6,4,1,5,3] => 2
[2,6,4,3,1,5] => 2
[2,6,4,3,5,1] => 2
[2,6,4,5,1,3] => 2
[2,6,4,5,3,1] => 2
[2,6,5,1,3,4] => 1
[2,6,5,1,4,3] => 2
[2,6,5,3,1,4] => 2
[2,6,5,3,4,1] => 2
[2,6,5,4,1,3] => 2
[2,6,5,4,3,1] => 2
[3,1,2,4,5,6] => 1
[3,1,2,4,6,5] => 2
[3,1,2,5,4,6] => 2
[3,1,2,5,6,4] => 2
[3,1,2,6,4,5] => 2
[3,1,2,6,5,4] => 2
[3,1,4,2,5,6] => 2
[3,1,4,2,6,5] => 3
[3,1,4,5,2,6] => 2
[3,1,4,5,6,2] => 2
[3,1,4,6,2,5] => 2
[3,1,4,6,5,2] => 2
[3,1,5,2,4,6] => 2
[3,1,5,2,6,4] => 3
[3,1,5,4,2,6] => 2
[3,1,5,4,6,2] => 3
[3,1,5,6,2,4] => 2
[3,1,5,6,4,2] => 2
[3,1,6,2,4,5] => 2
[3,1,6,2,5,4] => 3
[3,1,6,4,2,5] => 2
[3,1,6,4,5,2] => 3
[3,1,6,5,2,4] => 2
[3,1,6,5,4,2] => 3
[3,2,1,4,5,6] => 1
[3,2,1,4,6,5] => 2
[3,2,1,5,4,6] => 2
[3,2,1,5,6,4] => 2
[3,2,1,6,4,5] => 2
[3,2,1,6,5,4] => 2
[3,2,4,1,5,6] => 2
[3,2,4,1,6,5] => 3
[3,2,4,5,1,6] => 2
[3,2,4,5,6,1] => 2
[3,2,4,6,1,5] => 2
[3,2,4,6,5,1] => 2
[3,2,5,1,4,6] => 2
[3,2,5,1,6,4] => 3
[3,2,5,4,1,6] => 2
[3,2,5,4,6,1] => 3
[3,2,5,6,1,4] => 2
[3,2,5,6,4,1] => 2
[3,2,6,1,4,5] => 2
[3,2,6,1,5,4] => 3
[3,2,6,4,1,5] => 2
[3,2,6,4,5,1] => 3
[3,2,6,5,1,4] => 2
[3,2,6,5,4,1] => 3
[3,4,1,2,5,6] => 1
[3,4,1,2,6,5] => 2
[3,4,1,5,2,6] => 2
[3,4,1,5,6,2] => 2
[3,4,1,6,2,5] => 2
[3,4,1,6,5,2] => 2
[3,4,2,1,5,6] => 1
[3,4,2,1,6,5] => 2
[3,4,2,5,1,6] => 2
[3,4,2,5,6,1] => 2
[3,4,2,6,1,5] => 2
[3,4,2,6,5,1] => 2
[3,4,5,1,2,6] => 1
[3,4,5,1,6,2] => 2
[3,4,5,2,1,6] => 1
[3,4,5,2,6,1] => 2
[3,4,5,6,1,2] => 1
[3,4,5,6,2,1] => 1
[3,4,6,1,2,5] => 1
[3,4,6,1,5,2] => 2
[3,4,6,2,1,5] => 1
[3,4,6,2,5,1] => 2
[3,4,6,5,1,2] => 1
[3,4,6,5,2,1] => 2
[3,5,1,2,4,6] => 1
[3,5,1,2,6,4] => 2
[3,5,1,4,2,6] => 2
[3,5,1,4,6,2] => 2
[3,5,1,6,2,4] => 2
[3,5,1,6,4,2] => 2
[3,5,2,1,4,6] => 1
[3,5,2,1,6,4] => 2
[3,5,2,4,1,6] => 2
[3,5,2,4,6,1] => 2
[3,5,2,6,1,4] => 2
[3,5,2,6,4,1] => 2
[3,5,4,1,2,6] => 1
[3,5,4,1,6,2] => 2
[3,5,4,2,1,6] => 2
[3,5,4,2,6,1] => 2
[3,5,4,6,1,2] => 2
[3,5,4,6,2,1] => 2
[3,5,6,1,2,4] => 1
[3,5,6,1,4,2] => 2
[3,5,6,2,1,4] => 1
[3,5,6,2,4,1] => 2
[3,5,6,4,1,2] => 1
[3,5,6,4,2,1] => 2
[3,6,1,2,4,5] => 1
[3,6,1,2,5,4] => 2
[3,6,1,4,2,5] => 2
[3,6,1,4,5,2] => 2
[3,6,1,5,2,4] => 2
[3,6,1,5,4,2] => 2
[3,6,2,1,4,5] => 1
[3,6,2,1,5,4] => 2
[3,6,2,4,1,5] => 2
[3,6,2,4,5,1] => 2
[3,6,2,5,1,4] => 2
[3,6,2,5,4,1] => 2
[3,6,4,1,2,5] => 1
[3,6,4,1,5,2] => 2
[3,6,4,2,1,5] => 2
[3,6,4,2,5,1] => 2
[3,6,4,5,1,2] => 2
[3,6,4,5,2,1] => 2
[3,6,5,1,2,4] => 1
[3,6,5,1,4,2] => 2
[3,6,5,2,1,4] => 2
[3,6,5,2,4,1] => 2
[3,6,5,4,1,2] => 2
[3,6,5,4,2,1] => 2
[4,1,2,3,5,6] => 1
[4,1,2,3,6,5] => 2
[4,1,2,5,3,6] => 2
[4,1,2,5,6,3] => 2
[4,1,2,6,3,5] => 2
[4,1,2,6,5,3] => 2
[4,1,3,2,5,6] => 2
[4,1,3,2,6,5] => 3
[4,1,3,5,2,6] => 2
[4,1,3,5,6,2] => 2
[4,1,3,6,2,5] => 2
[4,1,3,6,5,2] => 2
[4,1,5,2,3,6] => 2
[4,1,5,2,6,3] => 3
[4,1,5,3,2,6] => 2
[4,1,5,3,6,2] => 3
[4,1,5,6,2,3] => 2
[4,1,5,6,3,2] => 2
[4,1,6,2,3,5] => 2
[4,1,6,2,5,3] => 3
[4,1,6,3,2,5] => 2
[4,1,6,3,5,2] => 3
[4,1,6,5,2,3] => 2
[4,1,6,5,3,2] => 3
[4,2,1,3,5,6] => 1
[4,2,1,3,6,5] => 2
[4,2,1,5,3,6] => 2
[4,2,1,5,6,3] => 2
[4,2,1,6,3,5] => 2
[4,2,1,6,5,3] => 2
[4,2,3,1,5,6] => 2
[4,2,3,1,6,5] => 3
[4,2,3,5,1,6] => 2
[4,2,3,5,6,1] => 2
[4,2,3,6,1,5] => 2
[4,2,3,6,5,1] => 2
[4,2,5,1,3,6] => 2
[4,2,5,1,6,3] => 3
[4,2,5,3,1,6] => 2
[4,2,5,3,6,1] => 3
[4,2,5,6,1,3] => 2
[4,2,5,6,3,1] => 2
[4,2,6,1,3,5] => 2
[4,2,6,1,5,3] => 3
[4,2,6,3,1,5] => 2
[4,2,6,3,5,1] => 3
[4,2,6,5,1,3] => 2
[4,2,6,5,3,1] => 3
[4,3,1,2,5,6] => 1
[4,3,1,2,6,5] => 2
[4,3,1,5,2,6] => 2
[4,3,1,5,6,2] => 2
[4,3,1,6,2,5] => 2
[4,3,1,6,5,2] => 2
[4,3,2,1,5,6] => 2
[4,3,2,1,6,5] => 3
[4,3,2,5,1,6] => 2
[4,3,2,5,6,1] => 2
[4,3,2,6,1,5] => 2
[4,3,2,6,5,1] => 2
[4,3,5,1,2,6] => 2
[4,3,5,1,6,2] => 3
[4,3,5,2,1,6] => 2
[4,3,5,2,6,1] => 3
[4,3,5,6,1,2] => 2
[4,3,5,6,2,1] => 2
[4,3,6,1,2,5] => 2
[4,3,6,1,5,2] => 3
[4,3,6,2,1,5] => 2
[4,3,6,2,5,1] => 3
[4,3,6,5,1,2] => 2
[4,3,6,5,2,1] => 3
[4,5,1,2,3,6] => 1
[4,5,1,2,6,3] => 2
[4,5,1,3,2,6] => 2
[4,5,1,3,6,2] => 2
[4,5,1,6,2,3] => 2
[4,5,1,6,3,2] => 2
[4,5,2,1,3,6] => 1
[4,5,2,1,6,3] => 2
[4,5,2,3,1,6] => 2
[4,5,2,3,6,1] => 2
[4,5,2,6,1,3] => 2
[4,5,2,6,3,1] => 2
[4,5,3,1,2,6] => 1
[4,5,3,1,6,2] => 2
[4,5,3,2,1,6] => 2
[4,5,3,2,6,1] => 2
[4,5,3,6,1,2] => 2
[4,5,3,6,2,1] => 2
[4,5,6,1,2,3] => 1
[4,5,6,1,3,2] => 2
[4,5,6,2,1,3] => 1
[4,5,6,2,3,1] => 2
[4,5,6,3,1,2] => 1
[4,5,6,3,2,1] => 2
[4,6,1,2,3,5] => 1
[4,6,1,2,5,3] => 2
[4,6,1,3,2,5] => 2
[4,6,1,3,5,2] => 2
[4,6,1,5,2,3] => 2
[4,6,1,5,3,2] => 2
[4,6,2,1,3,5] => 1
[4,6,2,1,5,3] => 2
[4,6,2,3,1,5] => 2
[4,6,2,3,5,1] => 2
[4,6,2,5,1,3] => 2
[4,6,2,5,3,1] => 2
[4,6,3,1,2,5] => 1
[4,6,3,1,5,2] => 2
[4,6,3,2,1,5] => 2
[4,6,3,2,5,1] => 2
[4,6,3,5,1,2] => 2
[4,6,3,5,2,1] => 2
[4,6,5,1,2,3] => 1
[4,6,5,1,3,2] => 2
[4,6,5,2,1,3] => 2
[4,6,5,2,3,1] => 2
[4,6,5,3,1,2] => 2
[4,6,5,3,2,1] => 2
[5,1,2,3,4,6] => 1
[5,1,2,3,6,4] => 2
[5,1,2,4,3,6] => 2
[5,1,2,4,6,3] => 2
[5,1,2,6,3,4] => 2
[5,1,2,6,4,3] => 2
[5,1,3,2,4,6] => 2
[5,1,3,2,6,4] => 3
[5,1,3,4,2,6] => 2
[5,1,3,4,6,2] => 2
[5,1,3,6,2,4] => 2
[5,1,3,6,4,2] => 2
[5,1,4,2,3,6] => 2
[5,1,4,2,6,3] => 3
[5,1,4,3,2,6] => 2
[5,1,4,3,6,2] => 3
[5,1,4,6,2,3] => 2
[5,1,4,6,3,2] => 2
[5,1,6,2,3,4] => 2
[5,1,6,2,4,3] => 3
[5,1,6,3,2,4] => 2
[5,1,6,3,4,2] => 3
[5,1,6,4,2,3] => 2
[5,1,6,4,3,2] => 3
[5,2,1,3,4,6] => 1
[5,2,1,3,6,4] => 2
[5,2,1,4,3,6] => 2
[5,2,1,4,6,3] => 2
[5,2,1,6,3,4] => 2
[5,2,1,6,4,3] => 2
[5,2,3,1,4,6] => 2
[5,2,3,1,6,4] => 3
[5,2,3,4,1,6] => 2
[5,2,3,4,6,1] => 2
[5,2,3,6,1,4] => 2
[5,2,3,6,4,1] => 2
[5,2,4,1,3,6] => 2
[5,2,4,1,6,3] => 3
[5,2,4,3,1,6] => 2
[5,2,4,3,6,1] => 3
[5,2,4,6,1,3] => 2
[5,2,4,6,3,1] => 2
[5,2,6,1,3,4] => 2
[5,2,6,1,4,3] => 3
[5,2,6,3,1,4] => 2
[5,2,6,3,4,1] => 3
[5,2,6,4,1,3] => 2
[5,2,6,4,3,1] => 3
[5,3,1,2,4,6] => 1
[5,3,1,2,6,4] => 2
[5,3,1,4,2,6] => 2
[5,3,1,4,6,2] => 2
[5,3,1,6,2,4] => 2
[5,3,1,6,4,2] => 2
[5,3,2,1,4,6] => 2
[5,3,2,1,6,4] => 3
[5,3,2,4,1,6] => 2
[5,3,2,4,6,1] => 2
[5,3,2,6,1,4] => 2
[5,3,2,6,4,1] => 2
[5,3,4,1,2,6] => 2
[5,3,4,1,6,2] => 3
[5,3,4,2,1,6] => 2
[5,3,4,2,6,1] => 3
[5,3,4,6,1,2] => 2
[5,3,4,6,2,1] => 2
[5,3,6,1,2,4] => 2
[5,3,6,1,4,2] => 3
[5,3,6,2,1,4] => 2
[5,3,6,2,4,1] => 3
[5,3,6,4,1,2] => 2
[5,3,6,4,2,1] => 3
[5,4,1,2,3,6] => 1
[5,4,1,2,6,3] => 2
[5,4,1,3,2,6] => 2
[5,4,1,3,6,2] => 2
[5,4,1,6,2,3] => 2
[5,4,1,6,3,2] => 2
[5,4,2,1,3,6] => 2
[5,4,2,1,6,3] => 3
[5,4,2,3,1,6] => 2
[5,4,2,3,6,1] => 2
[5,4,2,6,1,3] => 2
[5,4,2,6,3,1] => 2
[5,4,3,1,2,6] => 2
[5,4,3,1,6,2] => 3
[5,4,3,2,1,6] => 2
[5,4,3,2,6,1] => 3
[5,4,3,6,1,2] => 2
[5,4,3,6,2,1] => 2
[5,4,6,1,2,3] => 2
[5,4,6,1,3,2] => 3
[5,4,6,2,1,3] => 2
[5,4,6,2,3,1] => 3
[5,4,6,3,1,2] => 2
[5,4,6,3,2,1] => 3
[5,6,1,2,3,4] => 1
[5,6,1,2,4,3] => 2
[5,6,1,3,2,4] => 2
[5,6,1,3,4,2] => 2
[5,6,1,4,2,3] => 2
[5,6,1,4,3,2] => 2
[5,6,2,1,3,4] => 1
[5,6,2,1,4,3] => 2
[5,6,2,3,1,4] => 2
[5,6,2,3,4,1] => 2
[5,6,2,4,1,3] => 2
[5,6,2,4,3,1] => 2
[5,6,3,1,2,4] => 1
[5,6,3,1,4,2] => 2
[5,6,3,2,1,4] => 2
[5,6,3,2,4,1] => 2
[5,6,3,4,1,2] => 2
[5,6,3,4,2,1] => 2
[5,6,4,1,2,3] => 1
[5,6,4,1,3,2] => 2
[5,6,4,2,1,3] => 2
[5,6,4,2,3,1] => 2
[5,6,4,3,1,2] => 2
[5,6,4,3,2,1] => 2
[6,1,2,3,4,5] => 1
[6,1,2,3,5,4] => 2
[6,1,2,4,3,5] => 2
[6,1,2,4,5,3] => 2
[6,1,2,5,3,4] => 2
[6,1,2,5,4,3] => 2
[6,1,3,2,4,5] => 2
[6,1,3,2,5,4] => 3
[6,1,3,4,2,5] => 2
[6,1,3,4,5,2] => 2
[6,1,3,5,2,4] => 2
[6,1,3,5,4,2] => 2
[6,1,4,2,3,5] => 2
[6,1,4,2,5,3] => 3
[6,1,4,3,2,5] => 2
[6,1,4,3,5,2] => 3
[6,1,4,5,2,3] => 2
[6,1,4,5,3,2] => 2
[6,1,5,2,3,4] => 2
[6,1,5,2,4,3] => 3
[6,1,5,3,2,4] => 2
[6,1,5,3,4,2] => 3
[6,1,5,4,2,3] => 2
[6,1,5,4,3,2] => 3
[6,2,1,3,4,5] => 1
[6,2,1,3,5,4] => 2
[6,2,1,4,3,5] => 2
[6,2,1,4,5,3] => 2
[6,2,1,5,3,4] => 2
[6,2,1,5,4,3] => 2
[6,2,3,1,4,5] => 2
[6,2,3,1,5,4] => 3
[6,2,3,4,1,5] => 2
[6,2,3,4,5,1] => 2
[6,2,3,5,1,4] => 2
[6,2,3,5,4,1] => 2
[6,2,4,1,3,5] => 2
[6,2,4,1,5,3] => 3
[6,2,4,3,1,5] => 2
[6,2,4,3,5,1] => 3
[6,2,4,5,1,3] => 2
[6,2,4,5,3,1] => 2
[6,2,5,1,3,4] => 2
[6,2,5,1,4,3] => 3
[6,2,5,3,1,4] => 2
[6,2,5,3,4,1] => 3
[6,2,5,4,1,3] => 2
[6,2,5,4,3,1] => 3
[6,3,1,2,4,5] => 1
[6,3,1,2,5,4] => 2
[6,3,1,4,2,5] => 2
[6,3,1,4,5,2] => 2
[6,3,1,5,2,4] => 2
[6,3,1,5,4,2] => 2
[6,3,2,1,4,5] => 2
[6,3,2,1,5,4] => 3
[6,3,2,4,1,5] => 2
[6,3,2,4,5,1] => 2
[6,3,2,5,1,4] => 2
[6,3,2,5,4,1] => 2
[6,3,4,1,2,5] => 2
[6,3,4,1,5,2] => 3
[6,3,4,2,1,5] => 2
[6,3,4,2,5,1] => 3
[6,3,4,5,1,2] => 2
[6,3,4,5,2,1] => 2
[6,3,5,1,2,4] => 2
[6,3,5,1,4,2] => 3
[6,3,5,2,1,4] => 2
[6,3,5,2,4,1] => 3
[6,3,5,4,1,2] => 2
[6,3,5,4,2,1] => 3
[6,4,1,2,3,5] => 1
[6,4,1,2,5,3] => 2
[6,4,1,3,2,5] => 2
[6,4,1,3,5,2] => 2
[6,4,1,5,2,3] => 2
[6,4,1,5,3,2] => 2
[6,4,2,1,3,5] => 2
[6,4,2,1,5,3] => 3
[6,4,2,3,1,5] => 2
[6,4,2,3,5,1] => 2
[6,4,2,5,1,3] => 2
[6,4,2,5,3,1] => 2
[6,4,3,1,2,5] => 2
[6,4,3,1,5,2] => 3
[6,4,3,2,1,5] => 2
[6,4,3,2,5,1] => 3
[6,4,3,5,1,2] => 2
[6,4,3,5,2,1] => 2
[6,4,5,1,2,3] => 2
[6,4,5,1,3,2] => 3
[6,4,5,2,1,3] => 2
[6,4,5,2,3,1] => 3
[6,4,5,3,1,2] => 2
[6,4,5,3,2,1] => 3
[6,5,1,2,3,4] => 1
[6,5,1,2,4,3] => 2
[6,5,1,3,2,4] => 2
[6,5,1,3,4,2] => 2
[6,5,1,4,2,3] => 2
[6,5,1,4,3,2] => 2
[6,5,2,1,3,4] => 2
[6,5,2,1,4,3] => 3
[6,5,2,3,1,4] => 2
[6,5,2,3,4,1] => 2
[6,5,2,4,1,3] => 2
[6,5,2,4,3,1] => 2
[6,5,3,1,2,4] => 2
[6,5,3,1,4,2] => 3
[6,5,3,2,1,4] => 2
[6,5,3,2,4,1] => 3
[6,5,3,4,1,2] => 2
[6,5,3,4,2,1] => 2
[6,5,4,1,2,3] => 2
[6,5,4,1,3,2] => 3
[6,5,4,2,1,3] => 2
[6,5,4,2,3,1] => 3
[6,5,4,3,1,2] => 2
[6,5,4,3,2,1] => 3
[1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => 1
[1,2,3,4,6,7,5] => 1
[1,2,3,4,7,5,6] => 1
[1,2,3,4,7,6,5] => 1
[1,2,3,5,4,6,7] => 1
[1,2,3,5,4,7,6] => 2
[1,2,3,5,6,4,7] => 1
[1,2,3,5,6,7,4] => 1
[1,2,3,5,7,4,6] => 1
[1,2,3,5,7,6,4] => 1
[1,2,3,6,4,5,7] => 1
[1,2,3,6,4,7,5] => 2
[1,2,3,6,5,4,7] => 1
[1,2,3,6,5,7,4] => 2
[1,2,3,6,7,4,5] => 1
[1,2,3,6,7,5,4] => 1
[1,2,3,7,4,5,6] => 1
[1,2,3,7,4,6,5] => 2
[1,2,3,7,5,4,6] => 1
[1,2,3,7,5,6,4] => 2
[1,2,3,7,6,4,5] => 1
[1,2,3,7,6,5,4] => 2
[1,2,4,3,5,6,7] => 1
[1,2,4,3,5,7,6] => 2
[1,2,4,3,6,5,7] => 2
[1,2,4,3,6,7,5] => 2
[1,2,4,3,7,5,6] => 2
[1,2,4,3,7,6,5] => 2
[1,2,4,5,3,6,7] => 1
[1,2,4,5,3,7,6] => 2
[1,2,4,5,6,3,7] => 1
[1,2,4,5,6,7,3] => 1
[1,2,4,5,7,3,6] => 1
[1,2,4,5,7,6,3] => 1
[1,2,4,6,3,5,7] => 1
[1,2,4,6,3,7,5] => 2
[1,2,4,6,5,3,7] => 1
[1,2,4,6,5,7,3] => 2
[1,2,4,6,7,3,5] => 1
[1,2,4,6,7,5,3] => 1
[1,2,4,7,3,5,6] => 1
[1,2,4,7,3,6,5] => 2
[1,2,4,7,5,3,6] => 1
[1,2,4,7,5,6,3] => 2
[1,2,4,7,6,3,5] => 1
[1,2,4,7,6,5,3] => 2
[1,2,5,3,4,6,7] => 1
[1,2,5,3,4,7,6] => 2
[1,2,5,3,6,4,7] => 2
[1,2,5,3,6,7,4] => 2
[1,2,5,3,7,4,6] => 2
[1,2,5,3,7,6,4] => 2
[1,2,5,4,3,6,7] => 1
[1,2,5,4,3,7,6] => 2
[1,2,5,4,6,3,7] => 2
[1,2,5,4,6,7,3] => 2
[1,2,5,4,7,3,6] => 2
[1,2,5,4,7,6,3] => 2
[1,2,5,6,3,4,7] => 1
[1,2,5,6,3,7,4] => 2
[1,2,5,6,4,3,7] => 1
[1,2,5,6,4,7,3] => 2
[1,2,5,6,7,3,4] => 1
[1,2,5,6,7,4,3] => 1
[1,2,5,7,3,4,6] => 1
[1,2,5,7,3,6,4] => 2
[1,2,5,7,4,3,6] => 1
[1,2,5,7,4,6,3] => 2
[1,2,5,7,6,3,4] => 1
[1,2,5,7,6,4,3] => 2
[1,2,6,3,4,5,7] => 1
[1,2,6,3,4,7,5] => 2
[1,2,6,3,5,4,7] => 2
[1,2,6,3,5,7,4] => 2
[1,2,6,3,7,4,5] => 2
[1,2,6,3,7,5,4] => 2
[1,2,6,4,3,5,7] => 1
[1,2,6,4,3,7,5] => 2
[1,2,6,4,5,3,7] => 2
[1,2,6,4,5,7,3] => 2
[1,2,6,4,7,3,5] => 2
[1,2,6,4,7,5,3] => 2
[1,2,6,5,3,4,7] => 1
[1,2,6,5,3,7,4] => 2
[1,2,6,5,4,3,7] => 2
[1,2,6,5,4,7,3] => 2
[1,2,6,5,7,3,4] => 2
[1,2,6,5,7,4,3] => 2
[1,2,6,7,3,4,5] => 1
[1,2,6,7,3,5,4] => 2
[1,2,6,7,4,3,5] => 1
[1,2,6,7,4,5,3] => 2
[1,2,6,7,5,3,4] => 1
[1,2,6,7,5,4,3] => 2
[1,2,7,3,4,5,6] => 1
[1,2,7,3,4,6,5] => 2
[1,2,7,3,5,4,6] => 2
[1,2,7,3,5,6,4] => 2
[1,2,7,3,6,4,5] => 2
[1,2,7,3,6,5,4] => 2
[1,2,7,4,3,5,6] => 1
[1,2,7,4,3,6,5] => 2
[1,2,7,4,5,3,6] => 2
[1,2,7,4,5,6,3] => 2
[1,2,7,4,6,3,5] => 2
[1,2,7,4,6,5,3] => 2
[1,2,7,5,3,4,6] => 1
[1,2,7,5,3,6,4] => 2
[1,2,7,5,4,3,6] => 2
[1,2,7,5,4,6,3] => 2
[1,2,7,5,6,3,4] => 2
[1,2,7,5,6,4,3] => 2
[1,2,7,6,3,4,5] => 1
[1,2,7,6,3,5,4] => 2
[1,2,7,6,4,3,5] => 2
[1,2,7,6,4,5,3] => 2
[1,2,7,6,5,3,4] => 2
[1,2,7,6,5,4,3] => 2
[1,3,2,4,5,6,7] => 1
[1,3,2,4,5,7,6] => 2
[1,3,2,4,6,5,7] => 2
[1,3,2,4,6,7,5] => 2
[1,3,2,4,7,5,6] => 2
[1,3,2,4,7,6,5] => 2
[1,3,2,5,4,6,7] => 2
[1,3,2,5,4,7,6] => 3
[1,3,2,5,6,4,7] => 2
[1,3,2,5,6,7,4] => 2
[1,3,2,5,7,4,6] => 2
[1,3,2,5,7,6,4] => 2
[1,3,2,6,4,5,7] => 2
[1,3,2,6,4,7,5] => 3
[1,3,2,6,5,4,7] => 2
[1,3,2,6,5,7,4] => 3
[1,3,2,6,7,4,5] => 2
[1,3,2,6,7,5,4] => 2
[1,3,2,7,4,5,6] => 2
[1,3,2,7,4,6,5] => 3
[1,3,2,7,5,4,6] => 2
[1,3,2,7,5,6,4] => 3
[1,3,2,7,6,4,5] => 2
[1,3,2,7,6,5,4] => 3
[1,3,4,2,5,6,7] => 1
[1,3,4,2,5,7,6] => 2
[1,3,4,2,6,5,7] => 2
[1,3,4,2,6,7,5] => 2
[1,3,4,2,7,5,6] => 2
[1,3,4,2,7,6,5] => 2
[1,3,4,5,2,6,7] => 1
[1,3,4,5,2,7,6] => 2
[1,3,4,5,6,2,7] => 1
[1,3,4,5,6,7,2] => 1
[1,3,4,5,7,2,6] => 1
[1,3,4,5,7,6,2] => 1
[1,3,4,6,2,5,7] => 1
[1,3,4,6,2,7,5] => 2
[1,3,4,6,5,2,7] => 1
[1,3,4,6,5,7,2] => 2
[1,3,4,6,7,2,5] => 1
[1,3,4,6,7,5,2] => 1
[1,3,4,7,2,5,6] => 1
[1,3,4,7,2,6,5] => 2
[1,3,4,7,5,2,6] => 1
[1,3,4,7,5,6,2] => 2
[1,3,4,7,6,2,5] => 1
[1,3,4,7,6,5,2] => 2
[1,3,5,2,4,6,7] => 1
[1,3,5,2,4,7,6] => 2
[1,3,5,2,6,4,7] => 2
[1,3,5,2,6,7,4] => 2
[1,3,5,2,7,4,6] => 2
[1,3,5,2,7,6,4] => 2
[1,3,5,4,2,6,7] => 1
[1,3,5,4,2,7,6] => 2
[1,3,5,4,6,2,7] => 2
[1,3,5,4,6,7,2] => 2
[1,3,5,4,7,2,6] => 2
[1,3,5,4,7,6,2] => 2
[1,3,5,6,2,4,7] => 1
[1,3,5,6,2,7,4] => 2
[1,3,5,6,4,2,7] => 1
[1,3,5,6,4,7,2] => 2
[1,3,5,6,7,2,4] => 1
[1,3,5,6,7,4,2] => 1
[1,3,5,7,2,4,6] => 1
[1,3,5,7,2,6,4] => 2
[1,3,5,7,4,2,6] => 1
[1,3,5,7,4,6,2] => 2
[1,3,5,7,6,2,4] => 1
[1,3,5,7,6,4,2] => 2
[1,3,6,2,4,5,7] => 1
[1,3,6,2,4,7,5] => 2
[1,3,6,2,5,4,7] => 2
[1,3,6,2,5,7,4] => 2
[1,3,6,2,7,4,5] => 2
[1,3,6,2,7,5,4] => 2
[1,3,6,4,2,5,7] => 1
[1,3,6,4,2,7,5] => 2
[1,3,6,4,5,2,7] => 2
[1,3,6,4,5,7,2] => 2
[1,3,6,4,7,2,5] => 2
[1,3,6,4,7,5,2] => 2
[1,3,6,5,2,4,7] => 1
[1,3,6,5,2,7,4] => 2
[1,3,6,5,4,2,7] => 2
[1,3,6,5,4,7,2] => 2
[1,3,6,5,7,2,4] => 2
[1,3,6,5,7,4,2] => 2
[1,3,6,7,2,4,5] => 1
[1,3,6,7,2,5,4] => 2
[1,3,6,7,4,2,5] => 1
[1,3,6,7,4,5,2] => 2
[1,3,6,7,5,2,4] => 1
[1,3,6,7,5,4,2] => 2
[1,3,7,2,4,5,6] => 1
[1,3,7,2,4,6,5] => 2
[1,3,7,2,5,4,6] => 2
[1,3,7,2,5,6,4] => 2
[1,3,7,2,6,4,5] => 2
[1,3,7,2,6,5,4] => 2
[1,3,7,4,2,5,6] => 1
[1,3,7,4,2,6,5] => 2
[1,3,7,4,5,2,6] => 2
[1,3,7,4,5,6,2] => 2
[1,3,7,4,6,2,5] => 2
[1,3,7,4,6,5,2] => 2
[1,3,7,5,2,4,6] => 1
[1,3,7,5,2,6,4] => 2
[1,3,7,5,4,2,6] => 2
[1,3,7,5,4,6,2] => 2
[1,3,7,5,6,2,4] => 2
[1,3,7,5,6,4,2] => 2
[1,3,7,6,2,4,5] => 1
[1,3,7,6,2,5,4] => 2
[1,3,7,6,4,2,5] => 2
[1,3,7,6,4,5,2] => 2
[1,3,7,6,5,2,4] => 2
[1,3,7,6,5,4,2] => 2
[1,4,2,3,5,6,7] => 1
[1,4,2,3,5,7,6] => 2
[1,4,2,3,6,5,7] => 2
[1,4,2,3,6,7,5] => 2
[1,4,2,3,7,5,6] => 2
[1,4,2,3,7,6,5] => 2
[1,4,2,5,3,6,7] => 2
[1,4,2,5,3,7,6] => 3
[1,4,2,5,6,3,7] => 2
[1,4,2,5,6,7,3] => 2
[1,4,2,5,7,3,6] => 2
[1,4,2,5,7,6,3] => 2
[1,4,2,6,3,5,7] => 2
[1,4,2,6,3,7,5] => 3
[1,4,2,6,5,3,7] => 2
[1,4,2,6,5,7,3] => 3
[1,4,2,6,7,3,5] => 2
[1,4,2,6,7,5,3] => 2
[1,4,2,7,3,5,6] => 2
[1,4,2,7,3,6,5] => 3
[1,4,2,7,5,3,6] => 2
[1,4,2,7,5,6,3] => 3
[1,4,2,7,6,3,5] => 2
[1,4,2,7,6,5,3] => 3
[1,4,3,2,5,6,7] => 1
[1,4,3,2,5,7,6] => 2
[1,4,3,2,6,5,7] => 2
[1,4,3,2,6,7,5] => 2
[1,4,3,2,7,5,6] => 2
[1,4,3,2,7,6,5] => 2
[1,4,3,5,2,6,7] => 2
[1,4,3,5,2,7,6] => 3
[1,4,3,5,6,2,7] => 2
[1,4,3,5,6,7,2] => 2
[1,4,3,5,7,2,6] => 2
[1,4,3,5,7,6,2] => 2
[1,4,3,6,2,5,7] => 2
[1,4,3,6,2,7,5] => 3
[1,4,3,6,5,2,7] => 2
[1,4,3,6,5,7,2] => 3
[1,4,3,6,7,2,5] => 2
[1,4,3,6,7,5,2] => 2
[1,4,3,7,2,5,6] => 2
[1,4,3,7,2,6,5] => 3
[1,4,3,7,5,2,6] => 2
[1,4,3,7,5,6,2] => 3
[1,4,3,7,6,2,5] => 2
[1,4,3,7,6,5,2] => 3
[1,4,5,2,3,6,7] => 1
[1,4,5,2,3,7,6] => 2
[1,4,5,2,6,3,7] => 2
[1,4,5,2,6,7,3] => 2
[1,4,5,2,7,3,6] => 2
[1,4,5,2,7,6,3] => 2
[1,4,5,3,2,6,7] => 1
[1,4,5,3,2,7,6] => 2
[1,4,5,3,6,2,7] => 2
[1,4,5,3,6,7,2] => 2
[1,4,5,3,7,2,6] => 2
[1,4,5,3,7,6,2] => 2
[1,4,5,6,2,3,7] => 1
[1,4,5,6,2,7,3] => 2
[1,4,5,6,3,2,7] => 1
[1,4,5,6,3,7,2] => 2
[1,4,5,6,7,2,3] => 1
[1,4,5,6,7,3,2] => 1
[1,4,5,7,2,3,6] => 1
[1,4,5,7,2,6,3] => 2
[1,4,5,7,3,2,6] => 1
[1,4,5,7,3,6,2] => 2
[1,4,5,7,6,2,3] => 1
[1,4,5,7,6,3,2] => 2
[1,4,6,2,3,5,7] => 1
[1,4,6,2,3,7,5] => 2
[1,4,6,2,5,3,7] => 2
[1,4,6,2,5,7,3] => 2
[1,4,6,2,7,3,5] => 2
[1,4,6,2,7,5,3] => 2
[1,4,6,3,2,5,7] => 1
[1,4,6,3,2,7,5] => 2
[1,4,6,3,5,2,7] => 2
[1,4,6,3,5,7,2] => 2
[1,4,6,3,7,2,5] => 2
[1,4,6,3,7,5,2] => 2
[1,4,6,5,2,3,7] => 1
[1,4,6,5,2,7,3] => 2
[1,4,6,5,3,2,7] => 2
-----------------------------------------------------------------------------
Created: Oct 28, 2023 at 19:47 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Oct 28, 2023 at 19:47 by Martin Rubey