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* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St000764
-----------------------------------------------------------------------------
Collection: Integer compositions
-----------------------------------------------------------------------------
Description: The number of strong records in an integer composition.
A strong record is an element $a_i$ such that $a_i > a_j$ for all $j < i$. In particular, the first part of a composition is a strong record.
Theorem 1.1 of [1] provides the generating function for compositions with parts in a given set according to the sum of the parts, the number of parts and the number of strong records.
-----------------------------------------------------------------------------
References: [1] Knopfmacher, A., Mansour, T. Record statistics in integer compositions [[MathSciNet:2721540]]
-----------------------------------------------------------------------------
Code:
def statistic(pi):
pi = list(pi)
i = 0
res = 0
for j in range(len(pi)):
if pi[j] > i:
i = pi[j]
res += 1
return res
-----------------------------------------------------------------------------
Statistic values:
[1] => 1
[1,1] => 1
[2] => 1
[1,1,1] => 1
[1,2] => 2
[2,1] => 1
[3] => 1
[1,1,1,1] => 1
[1,1,2] => 2
[1,2,1] => 2
[1,3] => 2
[2,1,1] => 1
[2,2] => 1
[3,1] => 1
[4] => 1
[1,1,1,1,1] => 1
[1,1,1,2] => 2
[1,1,2,1] => 2
[1,1,3] => 2
[1,2,1,1] => 2
[1,2,2] => 2
[1,3,1] => 2
[1,4] => 2
[2,1,1,1] => 1
[2,1,2] => 1
[2,2,1] => 1
[2,3] => 2
[3,1,1] => 1
[3,2] => 1
[4,1] => 1
[5] => 1
[1,1,1,1,1,1] => 1
[1,1,1,1,2] => 2
[1,1,1,2,1] => 2
[1,1,1,3] => 2
[1,1,2,1,1] => 2
[1,1,2,2] => 2
[1,1,3,1] => 2
[1,1,4] => 2
[1,2,1,1,1] => 2
[1,2,1,2] => 2
[1,2,2,1] => 2
[1,2,3] => 3
[1,3,1,1] => 2
[1,3,2] => 2
[1,4,1] => 2
[1,5] => 2
[2,1,1,1,1] => 1
[2,1,1,2] => 1
[2,1,2,1] => 1
[2,1,3] => 2
[2,2,1,1] => 1
[2,2,2] => 1
[2,3,1] => 2
[2,4] => 2
[3,1,1,1] => 1
[3,1,2] => 1
[3,2,1] => 1
[3,3] => 1
[4,1,1] => 1
[4,2] => 1
[5,1] => 1
[6] => 1
[1,1,1,1,1,1,1] => 1
[1,1,1,1,1,2] => 2
[1,1,1,1,2,1] => 2
[1,1,1,1,3] => 2
[1,1,1,2,1,1] => 2
[1,1,1,2,2] => 2
[1,1,1,3,1] => 2
[1,1,1,4] => 2
[1,1,2,1,1,1] => 2
[1,1,2,1,2] => 2
[1,1,2,2,1] => 2
[1,1,2,3] => 3
[1,1,3,1,1] => 2
[1,1,3,2] => 2
[1,1,4,1] => 2
[1,1,5] => 2
[1,2,1,1,1,1] => 2
[1,2,1,1,2] => 2
[1,2,1,2,1] => 2
[1,2,1,3] => 3
[1,2,2,1,1] => 2
[1,2,2,2] => 2
[1,2,3,1] => 3
[1,2,4] => 3
[1,3,1,1,1] => 2
[1,3,1,2] => 2
[1,3,2,1] => 2
[1,3,3] => 2
[1,4,1,1] => 2
[1,4,2] => 2
[1,5,1] => 2
[1,6] => 2
[2,1,1,1,1,1] => 1
[2,1,1,1,2] => 1
[2,1,1,2,1] => 1
[2,1,1,3] => 2
[2,1,2,1,1] => 1
[2,1,2,2] => 1
[2,1,3,1] => 2
[2,1,4] => 2
[2,2,1,1,1] => 1
[2,2,1,2] => 1
[2,2,2,1] => 1
[2,2,3] => 2
[2,3,1,1] => 2
[2,3,2] => 2
[2,4,1] => 2
[2,5] => 2
[3,1,1,1,1] => 1
[3,1,1,2] => 1
[3,1,2,1] => 1
[3,1,3] => 1
[3,2,1,1] => 1
[3,2,2] => 1
[3,3,1] => 1
[3,4] => 2
[4,1,1,1] => 1
[4,1,2] => 1
[4,2,1] => 1
[4,3] => 1
[5,1,1] => 1
[5,2] => 1
[6,1] => 1
[7] => 1
[1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,2] => 2
[1,1,1,1,1,2,1] => 2
[1,1,1,1,1,3] => 2
[1,1,1,1,2,1,1] => 2
[1,1,1,1,2,2] => 2
[1,1,1,1,3,1] => 2
[1,1,1,1,4] => 2
[1,1,1,2,1,1,1] => 2
[1,1,1,2,1,2] => 2
[1,1,1,2,2,1] => 2
[1,1,1,2,3] => 3
[1,1,1,3,1,1] => 2
[1,1,1,3,2] => 2
[1,1,1,4,1] => 2
[1,1,1,5] => 2
[1,1,2,1,1,1,1] => 2
[1,1,2,1,1,2] => 2
[1,1,2,1,2,1] => 2
[1,1,2,1,3] => 3
[1,1,2,2,1,1] => 2
[1,1,2,2,2] => 2
[1,1,2,3,1] => 3
[1,1,2,4] => 3
[1,1,3,1,1,1] => 2
[1,1,3,1,2] => 2
[1,1,3,2,1] => 2
[1,1,3,3] => 2
[1,1,4,1,1] => 2
[1,1,4,2] => 2
[1,1,5,1] => 2
[1,1,6] => 2
[1,2,1,1,1,1,1] => 2
[1,2,1,1,1,2] => 2
[1,2,1,1,2,1] => 2
[1,2,1,1,3] => 3
[1,2,1,2,1,1] => 2
[1,2,1,2,2] => 2
[1,2,1,3,1] => 3
[1,2,1,4] => 3
[1,2,2,1,1,1] => 2
[1,2,2,1,2] => 2
[1,2,2,2,1] => 2
[1,2,2,3] => 3
[1,2,3,1,1] => 3
[1,2,3,2] => 3
[1,2,4,1] => 3
[1,2,5] => 3
[1,3,1,1,1,1] => 2
[1,3,1,1,2] => 2
[1,3,1,2,1] => 2
[1,3,1,3] => 2
[1,3,2,1,1] => 2
[1,3,2,2] => 2
[1,3,3,1] => 2
[1,3,4] => 3
[1,4,1,1,1] => 2
[1,4,1,2] => 2
[1,4,2,1] => 2
[1,4,3] => 2
[1,5,1,1] => 2
[1,5,2] => 2
[1,6,1] => 2
[1,7] => 2
[2,1,1,1,1,1,1] => 1
[2,1,1,1,1,2] => 1
[2,1,1,1,2,1] => 1
[2,1,1,1,3] => 2
[2,1,1,2,1,1] => 1
[2,1,1,2,2] => 1
[2,1,1,3,1] => 2
[2,1,1,4] => 2
[2,1,2,1,1,1] => 1
[2,1,2,1,2] => 1
[2,1,2,2,1] => 1
[2,1,2,3] => 2
[2,1,3,1,1] => 2
[2,1,3,2] => 2
[2,1,4,1] => 2
[2,1,5] => 2
[2,2,1,1,1,1] => 1
[2,2,1,1,2] => 1
[2,2,1,2,1] => 1
[2,2,1,3] => 2
[2,2,2,1,1] => 1
[2,2,2,2] => 1
[2,2,3,1] => 2
[2,2,4] => 2
[2,3,1,1,1] => 2
[2,3,1,2] => 2
[2,3,2,1] => 2
[2,3,3] => 2
[2,4,1,1] => 2
[2,4,2] => 2
[2,5,1] => 2
[2,6] => 2
[3,1,1,1,1,1] => 1
[3,1,1,1,2] => 1
[3,1,1,2,1] => 1
[3,1,1,3] => 1
[3,1,2,1,1] => 1
[3,1,2,2] => 1
[3,1,3,1] => 1
[3,1,4] => 2
[3,2,1,1,1] => 1
[3,2,1,2] => 1
[3,2,2,1] => 1
[3,2,3] => 1
[3,3,1,1] => 1
[3,3,2] => 1
[3,4,1] => 2
[3,5] => 2
[4,1,1,1,1] => 1
[4,1,1,2] => 1
[4,1,2,1] => 1
[4,1,3] => 1
[4,2,1,1] => 1
[4,2,2] => 1
[4,3,1] => 1
[4,4] => 1
[5,1,1,1] => 1
[5,1,2] => 1
[5,2,1] => 1
[5,3] => 1
[6,1,1] => 1
[6,2] => 1
[7,1] => 1
[8] => 1
[1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,2] => 2
[1,1,1,1,1,1,2,1] => 2
[1,1,1,1,1,1,3] => 2
[1,1,1,1,1,2,1,1] => 2
[1,1,1,1,1,2,2] => 2
[1,1,1,1,1,3,1] => 2
[1,1,1,1,1,4] => 2
[1,1,1,1,2,1,1,1] => 2
[1,1,1,1,2,1,2] => 2
[1,1,1,1,2,2,1] => 2
[1,1,1,1,2,3] => 3
[1,1,1,1,3,1,1] => 2
[1,1,1,1,3,2] => 2
[1,1,1,1,4,1] => 2
[1,1,1,1,5] => 2
[1,1,1,2,1,1,1,1] => 2
[1,1,1,2,1,1,2] => 2
[1,1,1,2,1,2,1] => 2
[1,1,1,2,1,3] => 3
[1,1,1,2,2,1,1] => 2
[1,1,1,2,2,2] => 2
[1,1,1,2,3,1] => 3
[1,1,1,2,4] => 3
[1,1,1,3,1,1,1] => 2
[1,1,1,3,1,2] => 2
[1,1,1,3,2,1] => 2
[1,1,1,3,3] => 2
[1,1,1,4,1,1] => 2
[1,1,1,4,2] => 2
[1,1,1,5,1] => 2
[1,1,1,6] => 2
[1,1,2,1,1,1,1,1] => 2
[1,1,2,1,1,1,2] => 2
[1,1,2,1,1,2,1] => 2
[1,1,2,1,1,3] => 3
[1,1,2,1,2,1,1] => 2
[1,1,2,1,2,2] => 2
[1,1,2,1,3,1] => 3
[1,1,2,1,4] => 3
[1,1,2,2,1,1,1] => 2
[1,1,2,2,1,2] => 2
[1,1,2,2,2,1] => 2
[1,1,2,2,3] => 3
[1,1,2,3,1,1] => 3
[1,1,2,3,2] => 3
[1,1,2,4,1] => 3
[1,1,2,5] => 3
[1,1,3,1,1,1,1] => 2
[1,1,3,1,1,2] => 2
[1,1,3,1,2,1] => 2
[1,1,3,1,3] => 2
[1,1,3,2,1,1] => 2
[1,1,3,2,2] => 2
[1,1,3,3,1] => 2
[1,1,3,4] => 3
[1,1,4,1,1,1] => 2
[1,1,4,1,2] => 2
[1,1,4,2,1] => 2
[1,1,4,3] => 2
[1,1,5,1,1] => 2
[1,1,5,2] => 2
[1,1,6,1] => 2
[1,1,7] => 2
[1,2,1,1,1,1,1,1] => 2
[1,2,1,1,1,1,2] => 2
[1,2,1,1,1,2,1] => 2
[1,2,1,1,1,3] => 3
[1,2,1,1,2,1,1] => 2
[1,2,1,1,2,2] => 2
[1,2,1,1,3,1] => 3
[1,2,1,1,4] => 3
[1,2,1,2,1,1,1] => 2
[1,2,1,2,1,2] => 2
[1,2,1,2,2,1] => 2
[1,2,1,2,3] => 3
[1,2,1,3,1,1] => 3
[1,2,1,3,2] => 3
[1,2,1,4,1] => 3
[1,2,1,5] => 3
[1,2,2,1,1,1,1] => 2
[1,2,2,1,1,2] => 2
[1,2,2,1,2,1] => 2
[1,2,2,1,3] => 3
[1,2,2,2,1,1] => 2
[1,2,2,2,2] => 2
[1,2,2,3,1] => 3
[1,2,2,4] => 3
[1,2,3,1,1,1] => 3
[1,2,3,1,2] => 3
[1,2,3,2,1] => 3
[1,2,3,3] => 3
[1,2,4,1,1] => 3
[1,2,4,2] => 3
[1,2,5,1] => 3
[1,2,6] => 3
[1,3,1,1,1,1,1] => 2
[1,3,1,1,1,2] => 2
[1,3,1,1,2,1] => 2
[1,3,1,1,3] => 2
[1,3,1,2,1,1] => 2
[1,3,1,2,2] => 2
[1,3,1,3,1] => 2
[1,3,1,4] => 3
[1,3,2,1,1,1] => 2
[1,3,2,1,2] => 2
[1,3,2,2,1] => 2
[1,3,2,3] => 2
[1,3,3,1,1] => 2
[1,3,3,2] => 2
[1,3,4,1] => 3
[1,3,5] => 3
[1,4,1,1,1,1] => 2
[1,4,1,1,2] => 2
[1,4,1,2,1] => 2
[1,4,1,3] => 2
[1,4,2,1,1] => 2
[1,4,2,2] => 2
[1,4,3,1] => 2
[1,4,4] => 2
[1,5,1,1,1] => 2
[1,5,1,2] => 2
[1,5,2,1] => 2
[1,5,3] => 2
[1,6,1,1] => 2
[1,6,2] => 2
[1,7,1] => 2
[1,8] => 2
[2,1,1,1,1,1,1,1] => 1
[2,1,1,1,1,1,2] => 1
[2,1,1,1,1,2,1] => 1
[2,1,1,1,1,3] => 2
[2,1,1,1,2,1,1] => 1
[2,1,1,1,2,2] => 1
[2,1,1,1,3,1] => 2
[2,1,1,1,4] => 2
[2,1,1,2,1,1,1] => 1
[2,1,1,2,1,2] => 1
[2,1,1,2,2,1] => 1
[2,1,1,2,3] => 2
[2,1,1,3,1,1] => 2
[2,1,1,3,2] => 2
[2,1,1,4,1] => 2
[2,1,1,5] => 2
[2,1,2,1,1,1,1] => 1
[2,1,2,1,1,2] => 1
[2,1,2,1,2,1] => 1
[2,1,2,1,3] => 2
[2,1,2,2,1,1] => 1
[2,1,2,2,2] => 1
[2,1,2,3,1] => 2
[2,1,2,4] => 2
[2,1,3,1,1,1] => 2
[2,1,3,1,2] => 2
[2,1,3,2,1] => 2
[2,1,3,3] => 2
[2,1,4,1,1] => 2
[2,1,4,2] => 2
[2,1,5,1] => 2
[2,1,6] => 2
[2,2,1,1,1,1,1] => 1
[2,2,1,1,1,2] => 1
[2,2,1,1,2,1] => 1
[2,2,1,1,3] => 2
[2,2,1,2,1,1] => 1
[2,2,1,2,2] => 1
[2,2,1,3,1] => 2
[2,2,1,4] => 2
[2,2,2,1,1,1] => 1
[2,2,2,1,2] => 1
[2,2,2,2,1] => 1
[2,2,2,3] => 2
[2,2,3,1,1] => 2
[2,2,3,2] => 2
[2,2,4,1] => 2
[2,2,5] => 2
[2,3,1,1,1,1] => 2
[2,3,1,1,2] => 2
[2,3,1,2,1] => 2
[2,3,1,3] => 2
[2,3,2,1,1] => 2
[2,3,2,2] => 2
[2,3,3,1] => 2
[2,3,4] => 3
[2,4,1,1,1] => 2
[2,4,1,2] => 2
[2,4,2,1] => 2
[2,4,3] => 2
[2,5,1,1] => 2
[2,5,2] => 2
[2,6,1] => 2
[2,7] => 2
[3,1,1,1,1,1,1] => 1
[3,1,1,1,1,2] => 1
[3,1,1,1,2,1] => 1
[3,1,1,1,3] => 1
[3,1,1,2,1,1] => 1
[3,1,1,2,2] => 1
[3,1,1,3,1] => 1
[3,1,1,4] => 2
[3,1,2,1,1,1] => 1
[3,1,2,1,2] => 1
[3,1,2,2,1] => 1
[3,1,2,3] => 1
[3,1,3,1,1] => 1
[3,1,3,2] => 1
[3,1,4,1] => 2
[3,1,5] => 2
[3,2,1,1,1,1] => 1
[3,2,1,1,2] => 1
[3,2,1,2,1] => 1
[3,2,1,3] => 1
[3,2,2,1,1] => 1
[3,2,2,2] => 1
[3,2,3,1] => 1
[3,2,4] => 2
[3,3,1,1,1] => 1
[3,3,1,2] => 1
[3,3,2,1] => 1
[3,3,3] => 1
[3,4,1,1] => 2
[3,4,2] => 2
[3,5,1] => 2
[3,6] => 2
[4,1,1,1,1,1] => 1
[4,1,1,1,2] => 1
[4,1,1,2,1] => 1
[4,1,1,3] => 1
[4,1,2,1,1] => 1
[4,1,2,2] => 1
[4,1,3,1] => 1
[4,1,4] => 1
[4,2,1,1,1] => 1
[4,2,1,2] => 1
[4,2,2,1] => 1
[4,2,3] => 1
[4,3,1,1] => 1
[4,3,2] => 1
[4,4,1] => 1
[4,5] => 2
[5,1,1,1,1] => 1
[5,1,1,2] => 1
[5,1,2,1] => 1
[5,1,3] => 1
[5,2,1,1] => 1
[5,2,2] => 1
[5,3,1] => 1
[5,4] => 1
[6,1,1,1] => 1
[6,1,2] => 1
[6,2,1] => 1
[6,3] => 1
[7,1,1] => 1
[7,2] => 1
[8,1] => 1
[9] => 1
[1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,2,2] => 2
[1,1,1,1,2,1,1,2] => 2
[1,1,1,1,2,2,1,1] => 2
[1,1,1,1,3,3] => 2
[1,1,1,1,5,1] => 2
[1,1,2,1,1,1,1,2] => 2
[1,1,2,1,1,2,1,1] => 2
[1,1,2,1,2,3] => 3
[1,1,2,2,1,1,1,1] => 2
[1,1,2,2,2,2] => 2
[1,1,3,1,1,3] => 2
[1,1,3,2,1,2] => 2
[1,1,3,3,1,1] => 2
[1,1,4,4] => 2
[1,1,7,1] => 2
[1,2,1,1,4,1] => 3
[1,2,6,1] => 3
[1,3,1,1,3,1] => 2
[1,3,5,1] => 3
[1,4,1,1,2,1] => 2
[1,4,4,1] => 2
[1,5,1,1,1,1] => 2
[1,5,3,1] => 2
[1,6,1,2] => 2
[1,6,2,1] => 2
[1,7,1,1] => 2
[1,8,1] => 2
[1,9] => 2
[2,1,1,1,1,1,1,2] => 1
[2,1,1,1,1,2,1,1] => 1
[2,1,1,1,2,3] => 2
[2,1,1,2,1,1,1,1] => 1
[2,1,1,2,2,2] => 1
[2,1,2,1,1,3] => 2
[2,1,2,2,1,2] => 1
[2,1,2,3,1,1] => 2
[2,1,3,4] => 3
[2,1,6,1] => 2
[2,2,1,1,1,1,1,1] => 1
[2,2,1,1,2,2] => 1
[2,2,2,1,1,2] => 1
[2,2,2,2,1,1] => 1
[2,2,3,3] => 2
[3,1,1,1,1,3] => 1
[3,1,1,2,1,2] => 1
[3,1,1,3,1,1] => 1
[3,1,2,4] => 2
[3,2,1,1,1,2] => 1
[3,2,1,2,1,1] => 1
[3,2,2,3] => 1
[3,3,1,1,1,1] => 1
[3,3,2,2] => 1
[4,1,1,4] => 1
[4,2,1,3] => 1
[4,3,1,2] => 1
[4,4,1,1] => 1
[5,5] => 1
[8,1,1] => 1
[9,1] => 1
[1,10] => 2
[1,8,1,1] => 2
[1,7,2,1] => 2
[1,6,3,1] => 2
[1,5,4,1] => 2
[1,4,5,1] => 3
[1,3,6,1] => 3
[1,2,7,1] => 3
[1,1,8,1] => 2
[10,1] => 1
[1,1,1,1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,1,2,2] => 2
[1,1,1,1,1,1,2,2,1,1] => 2
[1,1,1,1,1,1,2,1,1,2] => 2
[1,1,1,1,1,1,3,3] => 2
[1,1,1,1,2,2,1,1,1,1] => 2
[1,1,1,1,2,2,2,2] => 2
[1,1,1,1,2,1,1,2,1,1] => 2
[1,1,1,1,2,1,1,1,1,2] => 2
[1,1,1,1,2,1,2,3] => 3
[1,1,1,1,3,3,1,1] => 2
[1,1,1,1,3,2,1,2] => 2
[1,1,1,1,3,1,1,3] => 2
[1,1,1,1,4,4] => 2
[1,1,2,2,1,1,1,1,1,1] => 2
[1,1,2,2,1,1,2,2] => 2
[1,1,2,2,2,2,1,1] => 2
[1,1,2,2,2,1,1,2] => 2
[1,1,2,2,3,3] => 3
[1,1,2,1,1,2,1,1,1,1] => 2
[1,1,2,1,1,2,2,2] => 2
[1,1,2,1,1,1,1,2,1,1] => 2
[1,1,2,1,1,1,1,1,1,2] => 2
[1,1,2,1,1,1,2,3] => 3
[1,1,2,1,2,3,1,1] => 3
[1,1,2,1,2,2,1,2] => 2
[1,1,2,1,2,1,1,3] => 3
[1,1,2,1,3,4] => 4
[1,1,3,3,1,1,1,1] => 2
[1,1,3,3,2,2] => 2
[1,1,3,2,1,2,1,1] => 2
[1,1,3,2,1,1,1,2] => 2
[1,1,3,2,2,3] => 2
[1,1,3,1,1,3,1,1] => 2
[1,1,3,1,1,2,1,2] => 2
[1,1,3,1,1,1,1,3] => 2
[1,1,3,1,2,4] => 3
[1,1,4,4,1,1] => 2
[1,1,4,3,1,2] => 2
[1,1,4,2,1,3] => 2
[1,1,4,1,1,4] => 2
[1,1,5,5] => 2
[2,2,1,1,1,1,1,1,1,1] => 1
[2,2,1,1,1,1,2,2] => 1
[2,2,1,1,2,2,1,1] => 1
[2,2,1,1,2,1,1,2] => 1
[2,2,1,1,3,3] => 2
[2,2,2,2,1,1,1,1] => 1
[2,2,2,2,2,2] => 1
[2,2,2,1,1,2,1,1] => 1
[2,2,2,1,1,1,1,2] => 1
[2,2,2,1,2,3] => 2
[2,2,3,3,1,1] => 2
[2,2,3,2,1,2] => 2
[2,2,3,1,1,3] => 2
[2,2,4,4] => 2
[2,1,1,2,1,1,1,1,1,1] => 1
[2,1,1,2,1,1,2,2] => 1
[2,1,1,2,2,2,1,1] => 1
[2,1,1,2,2,1,1,2] => 1
[2,1,1,2,3,3] => 2
[2,1,1,1,1,2,1,1,1,1] => 1
[2,1,1,1,1,2,2,2] => 1
[2,1,1,1,1,1,1,2,1,1] => 1
[2,1,1,1,1,1,1,1,1,2] => 1
[2,1,1,1,1,1,2,3] => 2
[2,1,1,1,2,3,1,1] => 2
[2,1,1,1,2,2,1,2] => 1
[2,1,1,1,2,1,1,3] => 2
[2,1,1,1,3,4] => 3
[2,1,2,3,1,1,1,1] => 2
[2,1,2,3,2,2] => 2
[2,1,2,2,1,2,1,1] => 1
[2,1,2,2,1,1,1,2] => 1
[2,1,2,2,2,3] => 2
[2,1,2,1,1,3,1,1] => 2
[2,1,2,1,1,2,1,2] => 1
[2,1,2,1,1,1,1,3] => 2
[2,1,2,1,2,4] => 2
[2,1,3,4,1,1] => 3
[2,1,3,3,1,2] => 2
[2,1,3,2,1,3] => 2
[2,1,3,1,1,4] => 3
[2,1,4,5] => 3
[3,3,1,1,1,1,1,1] => 1
[3,3,1,1,2,2] => 1
[3,3,2,2,1,1] => 1
[3,3,2,1,1,2] => 1
[3,3,3,3] => 1
[3,2,1,2,1,1,1,1] => 1
[3,2,1,2,2,2] => 1
[3,2,1,1,1,2,1,1] => 1
[3,2,1,1,1,1,1,2] => 1
[3,2,1,1,2,3] => 1
[3,2,2,3,1,1] => 1
[3,2,2,2,1,2] => 1
[3,2,2,1,1,3] => 1
[3,2,3,4] => 2
[3,1,1,3,1,1,1,1] => 1
[3,1,1,3,2,2] => 1
[3,1,1,2,1,2,1,1] => 1
[3,1,1,2,1,1,1,2] => 1
[3,1,1,2,2,3] => 1
[3,1,1,1,1,3,1,1] => 1
[3,1,1,1,1,2,1,2] => 1
[3,1,1,1,1,1,1,3] => 1
[3,1,1,1,2,4] => 2
[3,1,2,4,1,1] => 2
[3,1,2,3,1,2] => 1
[3,1,2,2,1,3] => 1
[3,1,2,1,1,4] => 2
[3,1,3,5] => 2
[4,4,1,1,1,1] => 1
[4,4,2,2] => 1
[4,3,1,2,1,1] => 1
[4,3,1,1,1,2] => 1
[4,3,2,3] => 1
[4,2,1,3,1,1] => 1
[4,2,1,2,1,2] => 1
[4,2,1,1,1,3] => 1
[4,2,2,4] => 1
[4,1,1,4,1,1] => 1
[4,1,1,3,1,2] => 1
[4,1,1,2,1,3] => 1
[4,1,1,1,1,4] => 1
[4,1,2,5] => 2
[5,5,1,1] => 1
[5,4,1,2] => 1
[5,3,1,3] => 1
[5,2,1,4] => 1
[5,1,1,5] => 1
[6,6] => 1
-----------------------------------------------------------------------------
Created: Apr 08, 2017 at 21:56 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Jul 02, 2019 at 22:33 by Martin Rubey