*****************************************************************************
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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. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000768
-----------------------------------------------------------------------------
Collection: Integer compositions
-----------------------------------------------------------------------------
Description: The number of peaks in an integer composition.
A peak is an ascent followed by a descent, i.e., a subsequence $c_{i-1} c_i c_{i+1}$ with $c_i > \max(c_{i-1}, c_{i+1})$.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(w):
return len([i for i in range(1, len(w)-1) if max(w[i-1], w[i+1]) < w[i]])
-----------------------------------------------------------------------------
Statistic values:
[1] => 0
[1,1] => 0
[2] => 0
[1,1,1] => 0
[1,2] => 0
[2,1] => 0
[3] => 0
[1,1,1,1] => 0
[1,1,2] => 0
[1,2,1] => 1
[1,3] => 0
[2,1,1] => 0
[2,2] => 0
[3,1] => 0
[4] => 0
[1,1,1,1,1] => 0
[1,1,1,2] => 0
[1,1,2,1] => 1
[1,1,3] => 0
[1,2,1,1] => 1
[1,2,2] => 0
[1,3,1] => 1
[1,4] => 0
[2,1,1,1] => 0
[2,1,2] => 0
[2,2,1] => 0
[2,3] => 0
[3,1,1] => 0
[3,2] => 0
[4,1] => 0
[5] => 0
[1,1,1,1,1,1] => 0
[1,1,1,1,2] => 0
[1,1,1,2,1] => 1
[1,1,1,3] => 0
[1,1,2,1,1] => 1
[1,1,2,2] => 0
[1,1,3,1] => 1
[1,1,4] => 0
[1,2,1,1,1] => 1
[1,2,1,2] => 1
[1,2,2,1] => 0
[1,2,3] => 0
[1,3,1,1] => 1
[1,3,2] => 1
[1,4,1] => 1
[1,5] => 0
[2,1,1,1,1] => 0
[2,1,1,2] => 0
[2,1,2,1] => 1
[2,1,3] => 0
[2,2,1,1] => 0
[2,2,2] => 0
[2,3,1] => 1
[2,4] => 0
[3,1,1,1] => 0
[3,1,2] => 0
[3,2,1] => 0
[3,3] => 0
[4,1,1] => 0
[4,2] => 0
[5,1] => 0
[6] => 0
[1,1,1,1,1,1,1] => 0
[1,1,1,1,1,2] => 0
[1,1,1,1,2,1] => 1
[1,1,1,1,3] => 0
[1,1,1,2,1,1] => 1
[1,1,1,2,2] => 0
[1,1,1,3,1] => 1
[1,1,1,4] => 0
[1,1,2,1,1,1] => 1
[1,1,2,1,2] => 1
[1,1,2,2,1] => 0
[1,1,2,3] => 0
[1,1,3,1,1] => 1
[1,1,3,2] => 1
[1,1,4,1] => 1
[1,1,5] => 0
[1,2,1,1,1,1] => 1
[1,2,1,1,2] => 1
[1,2,1,2,1] => 2
[1,2,1,3] => 1
[1,2,2,1,1] => 0
[1,2,2,2] => 0
[1,2,3,1] => 1
[1,2,4] => 0
[1,3,1,1,1] => 1
[1,3,1,2] => 1
[1,3,2,1] => 1
[1,3,3] => 0
[1,4,1,1] => 1
[1,4,2] => 1
[1,5,1] => 1
[1,6] => 0
[2,1,1,1,1,1] => 0
[2,1,1,1,2] => 0
[2,1,1,2,1] => 1
[2,1,1,3] => 0
[2,1,2,1,1] => 1
[2,1,2,2] => 0
[2,1,3,1] => 1
[2,1,4] => 0
[2,2,1,1,1] => 0
[2,2,1,2] => 0
[2,2,2,1] => 0
[2,2,3] => 0
[2,3,1,1] => 1
[2,3,2] => 1
[2,4,1] => 1
[2,5] => 0
[3,1,1,1,1] => 0
[3,1,1,2] => 0
[3,1,2,1] => 1
[3,1,3] => 0
[3,2,1,1] => 0
[3,2,2] => 0
[3,3,1] => 0
[3,4] => 0
[4,1,1,1] => 0
[4,1,2] => 0
[4,2,1] => 0
[4,3] => 0
[5,1,1] => 0
[5,2] => 0
[6,1] => 0
[7] => 0
[1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,2] => 0
[1,1,1,1,1,2,1] => 1
[1,1,1,1,1,3] => 0
[1,1,1,1,2,1,1] => 1
[1,1,1,1,2,2] => 0
[1,1,1,1,3,1] => 1
[1,1,1,1,4] => 0
[1,1,1,2,1,1,1] => 1
[1,1,1,2,1,2] => 1
[1,1,1,2,2,1] => 0
[1,1,1,2,3] => 0
[1,1,1,3,1,1] => 1
[1,1,1,3,2] => 1
[1,1,1,4,1] => 1
[1,1,1,5] => 0
[1,1,2,1,1,1,1] => 1
[1,1,2,1,1,2] => 1
[1,1,2,1,2,1] => 2
[1,1,2,1,3] => 1
[1,1,2,2,1,1] => 0
[1,1,2,2,2] => 0
[1,1,2,3,1] => 1
[1,1,2,4] => 0
[1,1,3,1,1,1] => 1
[1,1,3,1,2] => 1
[1,1,3,2,1] => 1
[1,1,3,3] => 0
[1,1,4,1,1] => 1
[1,1,4,2] => 1
[1,1,5,1] => 1
[1,1,6] => 0
[1,2,1,1,1,1,1] => 1
[1,2,1,1,1,2] => 1
[1,2,1,1,2,1] => 2
[1,2,1,1,3] => 1
[1,2,1,2,1,1] => 2
[1,2,1,2,2] => 1
[1,2,1,3,1] => 2
[1,2,1,4] => 1
[1,2,2,1,1,1] => 0
[1,2,2,1,2] => 0
[1,2,2,2,1] => 0
[1,2,2,3] => 0
[1,2,3,1,1] => 1
[1,2,3,2] => 1
[1,2,4,1] => 1
[1,2,5] => 0
[1,3,1,1,1,1] => 1
[1,3,1,1,2] => 1
[1,3,1,2,1] => 2
[1,3,1,3] => 1
[1,3,2,1,1] => 1
[1,3,2,2] => 1
[1,3,3,1] => 0
[1,3,4] => 0
[1,4,1,1,1] => 1
[1,4,1,2] => 1
[1,4,2,1] => 1
[1,4,3] => 1
[1,5,1,1] => 1
[1,5,2] => 1
[1,6,1] => 1
[1,7] => 0
[2,1,1,1,1,1,1] => 0
[2,1,1,1,1,2] => 0
[2,1,1,1,2,1] => 1
[2,1,1,1,3] => 0
[2,1,1,2,1,1] => 1
[2,1,1,2,2] => 0
[2,1,1,3,1] => 1
[2,1,1,4] => 0
[2,1,2,1,1,1] => 1
[2,1,2,1,2] => 1
[2,1,2,2,1] => 0
[2,1,2,3] => 0
[2,1,3,1,1] => 1
[2,1,3,2] => 1
[2,1,4,1] => 1
[2,1,5] => 0
[2,2,1,1,1,1] => 0
[2,2,1,1,2] => 0
[2,2,1,2,1] => 1
[2,2,1,3] => 0
[2,2,2,1,1] => 0
[2,2,2,2] => 0
[2,2,3,1] => 1
[2,2,4] => 0
[2,3,1,1,1] => 1
[2,3,1,2] => 1
[2,3,2,1] => 1
[2,3,3] => 0
[2,4,1,1] => 1
[2,4,2] => 1
[2,5,1] => 1
[2,6] => 0
[3,1,1,1,1,1] => 0
[3,1,1,1,2] => 0
[3,1,1,2,1] => 1
[3,1,1,3] => 0
[3,1,2,1,1] => 1
[3,1,2,2] => 0
[3,1,3,1] => 1
[3,1,4] => 0
[3,2,1,1,1] => 0
[3,2,1,2] => 0
[3,2,2,1] => 0
[3,2,3] => 0
[3,3,1,1] => 0
[3,3,2] => 0
[3,4,1] => 1
[3,5] => 0
[4,1,1,1,1] => 0
[4,1,1,2] => 0
[4,1,2,1] => 1
[4,1,3] => 0
[4,2,1,1] => 0
[4,2,2] => 0
[4,3,1] => 0
[4,4] => 0
[5,1,1,1] => 0
[5,1,2] => 0
[5,2,1] => 0
[5,3] => 0
[6,1,1] => 0
[6,2] => 0
[7,1] => 0
[8] => 0
[1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,2] => 0
[1,1,1,1,1,1,2,1] => 1
[1,1,1,1,1,1,3] => 0
[1,1,1,1,1,2,1,1] => 1
[1,1,1,1,1,2,2] => 0
[1,1,1,1,1,3,1] => 1
[1,1,1,1,1,4] => 0
[1,1,1,1,2,1,1,1] => 1
[1,1,1,1,2,1,2] => 1
[1,1,1,1,2,2,1] => 0
[1,1,1,1,2,3] => 0
[1,1,1,1,3,1,1] => 1
[1,1,1,1,3,2] => 1
[1,1,1,1,4,1] => 1
[1,1,1,1,5] => 0
[1,1,1,2,1,1,1,1] => 1
[1,1,1,2,1,1,2] => 1
[1,1,1,2,1,2,1] => 2
[1,1,1,2,1,3] => 1
[1,1,1,2,2,1,1] => 0
[1,1,1,2,2,2] => 0
[1,1,1,2,3,1] => 1
[1,1,1,2,4] => 0
[1,1,1,3,1,1,1] => 1
[1,1,1,3,1,2] => 1
[1,1,1,3,2,1] => 1
[1,1,1,3,3] => 0
[1,1,1,4,1,1] => 1
[1,1,1,4,2] => 1
[1,1,1,5,1] => 1
[1,1,1,6] => 0
[1,1,2,1,1,1,1,1] => 1
[1,1,2,1,1,1,2] => 1
[1,1,2,1,1,2,1] => 2
[1,1,2,1,1,3] => 1
[1,1,2,1,2,1,1] => 2
[1,1,2,1,2,2] => 1
[1,1,2,1,3,1] => 2
[1,1,2,1,4] => 1
[1,1,2,2,1,1,1] => 0
[1,1,2,2,1,2] => 0
[1,1,2,2,2,1] => 0
[1,1,2,2,3] => 0
[1,1,2,3,1,1] => 1
[1,1,2,3,2] => 1
[1,1,2,4,1] => 1
[1,1,2,5] => 0
[1,1,3,1,1,1,1] => 1
[1,1,3,1,1,2] => 1
[1,1,3,1,2,1] => 2
[1,1,3,1,3] => 1
[1,1,3,2,1,1] => 1
[1,1,3,2,2] => 1
[1,1,3,3,1] => 0
[1,1,3,4] => 0
[1,1,4,1,1,1] => 1
[1,1,4,1,2] => 1
[1,1,4,2,1] => 1
[1,1,4,3] => 1
[1,1,5,1,1] => 1
[1,1,5,2] => 1
[1,1,6,1] => 1
[1,1,7] => 0
[1,2,1,1,1,1,1,1] => 1
[1,2,1,1,1,1,2] => 1
[1,2,1,1,1,2,1] => 2
[1,2,1,1,1,3] => 1
[1,2,1,1,2,1,1] => 2
[1,2,1,1,2,2] => 1
[1,2,1,1,3,1] => 2
[1,2,1,1,4] => 1
[1,2,1,2,1,1,1] => 2
[1,2,1,2,1,2] => 2
[1,2,1,2,2,1] => 1
[1,2,1,2,3] => 1
[1,2,1,3,1,1] => 2
[1,2,1,3,2] => 2
[1,2,1,4,1] => 2
[1,2,1,5] => 1
[1,2,2,1,1,1,1] => 0
[1,2,2,1,1,2] => 0
[1,2,2,1,2,1] => 1
[1,2,2,1,3] => 0
[1,2,2,2,1,1] => 0
[1,2,2,2,2] => 0
[1,2,2,3,1] => 1
[1,2,2,4] => 0
[1,2,3,1,1,1] => 1
[1,2,3,1,2] => 1
[1,2,3,2,1] => 1
[1,2,3,3] => 0
[1,2,4,1,1] => 1
[1,2,4,2] => 1
[1,2,5,1] => 1
[1,2,6] => 0
[1,3,1,1,1,1,1] => 1
[1,3,1,1,1,2] => 1
[1,3,1,1,2,1] => 2
[1,3,1,1,3] => 1
[1,3,1,2,1,1] => 2
[1,3,1,2,2] => 1
[1,3,1,3,1] => 2
[1,3,1,4] => 1
[1,3,2,1,1,1] => 1
[1,3,2,1,2] => 1
[1,3,2,2,1] => 1
[1,3,2,3] => 1
[1,3,3,1,1] => 0
[1,3,3,2] => 0
[1,3,4,1] => 1
[1,3,5] => 0
[1,4,1,1,1,1] => 1
[1,4,1,1,2] => 1
[1,4,1,2,1] => 2
[1,4,1,3] => 1
[1,4,2,1,1] => 1
[1,4,2,2] => 1
[1,4,3,1] => 1
[1,4,4] => 0
[1,5,1,1,1] => 1
[1,5,1,2] => 1
[1,5,2,1] => 1
[1,5,3] => 1
[1,6,1,1] => 1
[1,6,2] => 1
[1,7,1] => 1
[1,8] => 0
[2,1,1,1,1,1,1,1] => 0
[2,1,1,1,1,1,2] => 0
[2,1,1,1,1,2,1] => 1
[2,1,1,1,1,3] => 0
[2,1,1,1,2,1,1] => 1
[2,1,1,1,2,2] => 0
[2,1,1,1,3,1] => 1
[2,1,1,1,4] => 0
[2,1,1,2,1,1,1] => 1
[2,1,1,2,1,2] => 1
[2,1,1,2,2,1] => 0
[2,1,1,2,3] => 0
[2,1,1,3,1,1] => 1
[2,1,1,3,2] => 1
[2,1,1,4,1] => 1
[2,1,1,5] => 0
[2,1,2,1,1,1,1] => 1
[2,1,2,1,1,2] => 1
[2,1,2,1,2,1] => 2
[2,1,2,1,3] => 1
[2,1,2,2,1,1] => 0
[2,1,2,2,2] => 0
[2,1,2,3,1] => 1
[2,1,2,4] => 0
[2,1,3,1,1,1] => 1
[2,1,3,1,2] => 1
[2,1,3,2,1] => 1
[2,1,3,3] => 0
[2,1,4,1,1] => 1
[2,1,4,2] => 1
[2,1,5,1] => 1
[2,1,6] => 0
[2,2,1,1,1,1,1] => 0
[2,2,1,1,1,2] => 0
[2,2,1,1,2,1] => 1
[2,2,1,1,3] => 0
[2,2,1,2,1,1] => 1
[2,2,1,2,2] => 0
[2,2,1,3,1] => 1
[2,2,1,4] => 0
[2,2,2,1,1,1] => 0
[2,2,2,1,2] => 0
[2,2,2,2,1] => 0
[2,2,2,3] => 0
[2,2,3,1,1] => 1
[2,2,3,2] => 1
[2,2,4,1] => 1
[2,2,5] => 0
[2,3,1,1,1,1] => 1
[2,3,1,1,2] => 1
[2,3,1,2,1] => 2
[2,3,1,3] => 1
[2,3,2,1,1] => 1
[2,3,2,2] => 1
[2,3,3,1] => 0
[2,3,4] => 0
[2,4,1,1,1] => 1
[2,4,1,2] => 1
[2,4,2,1] => 1
[2,4,3] => 1
[2,5,1,1] => 1
[2,5,2] => 1
[2,6,1] => 1
[2,7] => 0
[3,1,1,1,1,1,1] => 0
[3,1,1,1,1,2] => 0
[3,1,1,1,2,1] => 1
[3,1,1,1,3] => 0
[3,1,1,2,1,1] => 1
[3,1,1,2,2] => 0
[3,1,1,3,1] => 1
[3,1,1,4] => 0
[3,1,2,1,1,1] => 1
[3,1,2,1,2] => 1
[3,1,2,2,1] => 0
[3,1,2,3] => 0
[3,1,3,1,1] => 1
[3,1,3,2] => 1
[3,1,4,1] => 1
[3,1,5] => 0
[3,2,1,1,1,1] => 0
[3,2,1,1,2] => 0
[3,2,1,2,1] => 1
[3,2,1,3] => 0
[3,2,2,1,1] => 0
[3,2,2,2] => 0
[3,2,3,1] => 1
[3,2,4] => 0
[3,3,1,1,1] => 0
[3,3,1,2] => 0
[3,3,2,1] => 0
[3,3,3] => 0
[3,4,1,1] => 1
[3,4,2] => 1
[3,5,1] => 1
[3,6] => 0
[4,1,1,1,1,1] => 0
[4,1,1,1,2] => 0
[4,1,1,2,1] => 1
[4,1,1,3] => 0
[4,1,2,1,1] => 1
[4,1,2,2] => 0
[4,1,3,1] => 1
[4,1,4] => 0
[4,2,1,1,1] => 0
[4,2,1,2] => 0
[4,2,2,1] => 0
[4,2,3] => 0
[4,3,1,1] => 0
[4,3,2] => 0
[4,4,1] => 0
[4,5] => 0
[5,1,1,1,1] => 0
[5,1,1,2] => 0
[5,1,2,1] => 1
[5,1,3] => 0
[5,2,1,1] => 0
[5,2,2] => 0
[5,3,1] => 0
[5,4] => 0
[6,1,1,1] => 0
[6,1,2] => 0
[6,2,1] => 0
[6,3] => 0
[7,1,1] => 0
[7,2] => 0
[8,1] => 0
[9] => 0
[1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,2,2] => 0
[1,1,1,1,2,1,1,2] => 1
[1,1,1,1,2,2,1,1] => 0
[1,1,1,1,3,3] => 0
[1,1,1,1,5,1] => 1
[1,1,2,1,1,1,1,2] => 1
[1,1,2,1,1,2,1,1] => 2
[1,1,2,1,2,3] => 1
[1,1,2,2,1,1,1,1] => 0
[1,1,2,2,2,2] => 0
[1,1,3,1,1,3] => 1
[1,1,3,2,1,2] => 1
[1,1,3,3,1,1] => 0
[1,1,4,4] => 0
[1,1,7,1] => 1
[1,2,1,1,4,1] => 2
[1,2,6,1] => 1
[1,3,1,1,3,1] => 2
[1,3,5,1] => 1
[1,4,1,1,2,1] => 2
[1,4,4,1] => 0
[1,5,1,1,1,1] => 1
[1,5,3,1] => 1
[1,6,1,2] => 1
[1,6,2,1] => 1
[1,7,1,1] => 1
[1,8,1] => 1
[1,9] => 0
[2,1,1,1,1,1,1,2] => 0
[2,1,1,1,1,2,1,1] => 1
[2,1,1,1,2,3] => 0
[2,1,1,2,1,1,1,1] => 1
[2,1,1,2,2,2] => 0
[2,1,2,1,1,3] => 1
[2,1,2,2,1,2] => 0
[2,1,2,3,1,1] => 1
[2,1,3,4] => 0
[2,1,6,1] => 1
[2,2,1,1,1,1,1,1] => 0
[2,2,1,1,2,2] => 0
[2,2,2,1,1,2] => 0
[2,2,2,2,1,1] => 0
[2,2,3,3] => 0
[3,1,1,1,1,3] => 0
[3,1,1,2,1,2] => 1
[3,1,1,3,1,1] => 1
[3,1,2,4] => 0
[3,2,1,1,1,2] => 0
[3,2,1,2,1,1] => 1
[3,2,2,3] => 0
[3,3,1,1,1,1] => 0
[3,3,2,2] => 0
[4,1,1,4] => 0
[4,2,1,3] => 0
[4,3,1,2] => 0
[4,4,1,1] => 0
[5,5] => 0
[8,1,1] => 0
[9,1] => 0
[1,10] => 0
[1,8,1,1] => 1
[1,7,2,1] => 1
[1,6,3,1] => 1
[1,5,4,1] => 1
[1,4,5,1] => 1
[1,3,6,1] => 1
[1,2,7,1] => 1
[1,1,8,1] => 1
[10,1] => 0
[1,1,1,1,1,1,1,1,1,1,1,1] => 0
[1,1,1,1,1,1,1,1,2,2] => 0
[1,1,1,1,1,1,2,2,1,1] => 0
[1,1,1,1,1,1,2,1,1,2] => 1
[1,1,1,1,1,1,3,3] => 0
[1,1,1,1,2,2,1,1,1,1] => 0
[1,1,1,1,2,2,2,2] => 0
[1,1,1,1,2,1,1,2,1,1] => 2
[1,1,1,1,2,1,1,1,1,2] => 1
[1,1,1,1,2,1,2,3] => 1
[1,1,1,1,3,3,1,1] => 0
[1,1,1,1,3,2,1,2] => 1
[1,1,1,1,3,1,1,3] => 1
[1,1,1,1,4,4] => 0
[1,1,2,2,1,1,1,1,1,1] => 0
[1,1,2,2,1,1,2,2] => 0
[1,1,2,2,2,2,1,1] => 0
[1,1,2,2,2,1,1,2] => 0
[1,1,2,2,3,3] => 0
[1,1,2,1,1,2,1,1,1,1] => 2
[1,1,2,1,1,2,2,2] => 1
[1,1,2,1,1,1,1,2,1,1] => 2
[1,1,2,1,1,1,1,1,1,2] => 1
[1,1,2,1,1,1,2,3] => 1
[1,1,2,1,2,3,1,1] => 2
[1,1,2,1,2,2,1,2] => 1
[1,1,2,1,2,1,1,3] => 2
[1,1,2,1,3,4] => 1
[1,1,3,3,1,1,1,1] => 0
[1,1,3,3,2,2] => 0
[1,1,3,2,1,2,1,1] => 2
[1,1,3,2,1,1,1,2] => 1
[1,1,3,2,2,3] => 1
[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] => 1
[1,1,3,1,2,4] => 1
[1,1,4,4,1,1] => 0
[1,1,4,3,1,2] => 1
[1,1,4,2,1,3] => 1
[1,1,4,1,1,4] => 1
[1,1,5,5] => 0
[2,2,1,1,1,1,1,1,1,1] => 0
[2,2,1,1,1,1,2,2] => 0
[2,2,1,1,2,2,1,1] => 0
[2,2,1,1,2,1,1,2] => 1
[2,2,1,1,3,3] => 0
[2,2,2,2,1,1,1,1] => 0
[2,2,2,2,2,2] => 0
[2,2,2,1,1,2,1,1] => 1
[2,2,2,1,1,1,1,2] => 0
[2,2,2,1,2,3] => 0
[2,2,3,3,1,1] => 0
[2,2,3,2,1,2] => 1
[2,2,3,1,1,3] => 1
[2,2,4,4] => 0
[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] => 0
[2,1,1,2,2,1,1,2] => 0
[2,1,1,2,3,3] => 0
[2,1,1,1,1,2,1,1,1,1] => 1
[2,1,1,1,1,2,2,2] => 0
[2,1,1,1,1,1,1,2,1,1] => 1
[2,1,1,1,1,1,1,1,1,2] => 0
[2,1,1,1,1,1,2,3] => 0
[2,1,1,1,2,3,1,1] => 1
[2,1,1,1,2,2,1,2] => 0
[2,1,1,1,2,1,1,3] => 1
[2,1,1,1,3,4] => 0
[2,1,2,3,1,1,1,1] => 1
[2,1,2,3,2,2] => 1
[2,1,2,2,1,2,1,1] => 1
[2,1,2,2,1,1,1,2] => 0
[2,1,2,2,2,3] => 0
[2,1,2,1,1,3,1,1] => 2
[2,1,2,1,1,2,1,2] => 2
[2,1,2,1,1,1,1,3] => 1
[2,1,2,1,2,4] => 1
[2,1,3,4,1,1] => 1
[2,1,3,3,1,2] => 0
[2,1,3,2,1,3] => 1
[2,1,3,1,1,4] => 1
[2,1,4,5] => 0
[3,3,1,1,1,1,1,1] => 0
[3,3,1,1,2,2] => 0
[3,3,2,2,1,1] => 0
[3,3,2,1,1,2] => 0
[3,3,3,3] => 0
[3,2,1,2,1,1,1,1] => 1
[3,2,1,2,2,2] => 0
[3,2,1,1,1,2,1,1] => 1
[3,2,1,1,1,1,1,2] => 0
[3,2,1,1,2,3] => 0
[3,2,2,3,1,1] => 1
[3,2,2,2,1,2] => 0
[3,2,2,1,1,3] => 0
[3,2,3,4] => 0
[3,1,1,3,1,1,1,1] => 1
[3,1,1,3,2,2] => 1
[3,1,1,2,1,2,1,1] => 2
[3,1,1,2,1,1,1,2] => 1
[3,1,1,2,2,3] => 0
[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] => 0
[3,1,1,1,2,4] => 0
[3,1,2,4,1,1] => 1
[3,1,2,3,1,2] => 1
[3,1,2,2,1,3] => 0
[3,1,2,1,1,4] => 1
[3,1,3,5] => 0
[4,4,1,1,1,1] => 0
[4,4,2,2] => 0
[4,3,1,2,1,1] => 1
[4,3,1,1,1,2] => 0
[4,3,2,3] => 0
[4,2,1,3,1,1] => 1
[4,2,1,2,1,2] => 1
[4,2,1,1,1,3] => 0
[4,2,2,4] => 0
[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] => 0
[4,1,2,5] => 0
[5,5,1,1] => 0
[5,4,1,2] => 0
[5,3,1,3] => 0
[5,2,1,4] => 0
[5,1,1,5] => 0
[6,6] => 0
-----------------------------------------------------------------------------
Created: Apr 09, 2017 at 15:30 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Dec 28, 2017 at 15:29 by Martin Rubey