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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: St001107
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The number of times one can erase the first up and the last down step in a Dyck path and still remain a Dyck path.
In other words, this is the lowest height of a valley of a Dyck path, or its semilength in case of the unique path without valleys.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(D):
hs = D.heights()
n = D.length()/2
return min( [n] + [ hs[i] for i in range(1,len(D)-1) if hs[i-1] > hs[i] < hs[i+1] ] )
-----------------------------------------------------------------------------
Statistic values:
[1,0,1,0] => 0
[1,1,0,0] => 2
[1,0,1,0,1,0] => 0
[1,0,1,1,0,0] => 0
[1,1,0,0,1,0] => 0
[1,1,0,1,0,0] => 1
[1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,0,0] => 1
[1,1,1,0,0,0,1,0] => 0
[1,1,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,1,0,0,0] => 1
[1,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,1,1,0,0,1,0,0] => 1
[1,1,0,1,1,0,1,0,0,0] => 1
[1,1,0,1,1,1,0,0,0,0] => 1
[1,1,1,0,0,0,1,0,1,0] => 0
[1,1,1,0,0,0,1,1,0,0] => 0
[1,1,1,0,0,1,0,0,1,0] => 0
[1,1,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,0,0,1,0] => 0
[1,1,1,0,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0] => 0
[1,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => 1
[1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,1,0,1,1,0,0,1,0,0] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,1,1,0,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,1,1,0,1,0,0,1,0,0] => 1
[1,1,0,1,1,0,1,0,1,0,0,0] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => 1
[1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,1,0,1,1,1,0,1,0,0,0,0] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,1,0,0,0] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,1,1,0,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,1,1,0,1,0,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,1,1,0,1,1,0,0,0,1,0,0] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,1,1,1,0,0,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,1,1,1,0,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,1,1,1,0,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,1,1,1,1,0,0,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 1
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 4
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 3
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 5
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0
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Created: Feb 16, 2018 at 11:12 by Christian Stump
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Last Updated: Feb 16, 2018 at 11:12 by Christian Stump