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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: St000013
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The height of a Dyck path.
The height of a Dyck path $D$ of semilength $n$ is defined as the maximal height of a peak of $D$. The height of $D$ at position $i$ is the number of up-steps minus the number of down-steps before position $i$.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(x):
return x.height()
-----------------------------------------------------------------------------
Statistic values:
[] => 0
[1,0] => 1
[1,0,1,0] => 1
[1,1,0,0] => 2
[1,0,1,0,1,0] => 1
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,0] => 2
[1,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,0] => 5
[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] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[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] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 7
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 6
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 6
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 7
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 7
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 7
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 6
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 5
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 6
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 8
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 8
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 7
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 6
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 7
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 6
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 9
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 8
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 7
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 8
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 8
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 8
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => 8
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 10
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 9
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 9
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 9
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 8
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0] => 8
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 5
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 6
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 6
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 6
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 6
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 6
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 6
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 6
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 6
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 6
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 6
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 6
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 11
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 11
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 12
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => 7
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 13
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 10
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 14
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => 15
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 13
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => 12
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => 15
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => 16
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => 10
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => 24
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Created: Sep 27, 2011 at 19:30 by Chris Berg
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Last Updated: Feb 13, 2024 at 15:15 by Martin Rubey