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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: St000395
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The sum of the heights of the peaks of a Dyck path.
-----------------------------------------------------------------------------
References: [1] Feinberg, G., Lee, K.-H. Homogeneous representations of Type A KLR-algebras and Dyck paths [[arXiv:1505.04075]]
-----------------------------------------------------------------------------
Code:
def statistic(D):
heights = D.heights()
return sum( heights[i+1] for i in D.peaks() )
-----------------------------------------------------------------------------
Statistic values:
[1,0] => 1
[1,0,1,0] => 2
[1,1,0,0] => 2
[1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => 3
[1,1,0,0,1,0] => 3
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,0] => 6
[1,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,0] => 6
[1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,1,1,0,0,0] => 7
[1,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0] => 7
[1,1,0,1,1,0,1,0,0,0] => 8
[1,1,0,1,1,1,0,0,0,0] => 6
[1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0] => 7
[1,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0] => 8
[1,1,1,0,1,0,1,0,0,0] => 9
[1,1,1,0,1,1,0,0,0,0] => 7
[1,1,1,1,0,0,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0] => 6
[1,1,1,1,0,0,1,0,0,0] => 7
[1,1,1,1,0,1,0,0,0,0] => 8
[1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,1,0,0] => 6
[1,1,1,0,0,0,1,1,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,1,0,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,1,0,0,0] => 9
[1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,1,1,0,0,0] => 9
[1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,0,0] => 10
[1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,1,0,1,1,0,0,1,0,0,0] => 10
[1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,1,0,0,1,0,1,0,0,0] => 10
[1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,1,1,1,0,1,0,0,0,0,0] => 10
[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] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 8
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 11
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 9
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 8
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 9
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 11
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 7
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 8
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 10
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 9
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 10
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 10
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 10
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 9
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 9
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 9
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 10
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 9
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 11
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 12
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 12
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 10
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 13
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 10
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 9
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 10
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 11
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 10
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 12
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 8
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 7
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 9
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 8
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 9
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 7
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 9
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 8
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 9
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 9
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 9
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 10
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 11
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 10
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 9
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 9
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 9
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 9
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 10
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 10
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 11
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 12
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 11
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 10
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 11
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 12
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 12
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 13
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 13
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 14
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 13
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 11
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 13
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 11
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 9
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 9
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 10
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 11
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 11
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 12
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 13
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 13
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 15
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 12
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 9
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 10
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 11
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 12
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 13
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 9
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 7
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 9
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 10
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 9
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 9
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 9
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 9
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 10
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 11
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 10
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 11
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 12
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 13
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 9
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 10
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 12
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 9
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 10
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 10
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 11
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 12
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 11
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 12
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 13
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 12
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 13
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 14
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 15
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 16
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 13
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 12
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 13
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 14
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 10
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 9
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 8
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 9
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 10
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 11
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 9
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 10
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 12
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 13
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 10
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 12
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 13
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 14
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 15
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 8
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 9
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 10
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 12
[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] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 11
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 13
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 14
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 13
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 13
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 14
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 12
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 11
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 10
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 12
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 14
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 13
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 10
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 10
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 12
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 13
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 13
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 14
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 13
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 13
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 14
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 13
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 13
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 14
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 15
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 10
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 13
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 9
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 11
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 13
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 15
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 14
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 14
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 15
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 13
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 14
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 15
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 16
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 13
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 13
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 14
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 11
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 13
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 12
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 13
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 15
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 14
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 15
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 16
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 17
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 14
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 14
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 15
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 9
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 13
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 12
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 13
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 15
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 16
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 12
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 10
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 11
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 12
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 13
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 9
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 9
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 11
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 11
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 9
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 9
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 11
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 12
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 13
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 12
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 13
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 11
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 13
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 12
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 10
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 10
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 11
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 9
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 10
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 11
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 9
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Created: Feb 17, 2016 at 20:33 by Christian Stump
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Last Updated: Feb 21, 2022 at 18:53 by Martin Rubey