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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: St001034
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The area of the parallelogram polyomino associated with the Dyck path.
The (bivariate) generating function is given in [1].
-----------------------------------------------------------------------------
References: [1] Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the sum of the height of the peaks is k (n>=0; n<=k<=floor((n+1)^2/4)). [[OEIS:A129183]]
-----------------------------------------------------------------------------
Code:
# depends on https://trac.sagemath.org/ticket/16110
def statistic(D):
return ParallelogramPolyomino.from_dyck_word(D).area()
-----------------------------------------------------------------------------
Statistic values:
[] => 0
[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] => 3
[1,1,1,0,0,0] => 4
[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] => 4
[1,0,1,1,1,0,0,0] => 5
[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] => 4
[1,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,0,1,0] => 5
[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] => 6
[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] => 5
[1,0,1,0,1,1,1,0,0,0] => 6
[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] => 5
[1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0] => 6
[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] => 7
[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] => 5
[1,1,0,0,1,1,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,0] => 6
[1,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,1,1,0,1,0,0,0] => 7
[1,1,0,1,1,1,0,0,0,0] => 7
[1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 6
[1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,0] => 7
[1,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,1,0,0,0] => 8
[1,1,1,0,1,1,0,0,0,0] => 8
[1,1,1,1,0,0,0,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,0] => 7
[1,1,1,1,0,0,1,0,0,0] => 8
[1,1,1,1,0,1,0,0,0,0] => 8
[1,1,1,1,1,0,0,0,0,0] => 9
[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] => 6
[1,0,1,0,1,0,1,1,1,0,0,0] => 7
[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] => 6
[1,0,1,0,1,1,0,1,0,1,0,0] => 6
[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] => 7
[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] => 8
[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] => 6
[1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,0] => 7
[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] => 7
[1,0,1,1,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0] => 7
[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] => 7
[1,0,1,1,1,0,0,1,1,0,0,0] => 8
[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] => 8
[1,0,1,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,0] => 9
[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] => 10
[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] => 6
[1,1,0,0,1,0,1,1,1,0,0,0] => 7
[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] => 6
[1,1,0,0,1,1,0,1,0,1,0,0] => 6
[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] => 7
[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] => 8
[1,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,0] => 6
[1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,0] => 6
[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] => 6
[1,1,0,1,0,1,0,0,1,1,0,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,0] => 7
[1,1,0,1,0,1,1,0,0,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,0,0] => 7
[1,1,0,1,0,1,1,0,1,0,0,0] => 8
[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] => 7
[1,1,0,1,1,0,0,1,0,1,0,0] => 7
[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] => 8
[1,1,0,1,1,0,1,0,0,1,0,0] => 8
[1,1,0,1,1,0,1,0,1,0,0,0] => 9
[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] => 8
[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] => 9
[1,1,0,1,1,1,1,0,0,0,0,0] => 10
[1,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,0] => 7
[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] => 8
[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] => 7
[1,1,1,0,0,1,0,1,0,1,0,0] => 7
[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] => 8
[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] => 9
[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] => 8
[1,1,1,0,1,0,0,1,0,1,0,0] => 8
[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] => 9
[1,1,1,0,1,0,1,0,0,1,0,0] => 9
[1,1,1,0,1,0,1,0,1,0,0,0] => 10
[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] => 9
[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] => 10
[1,1,1,0,1,1,1,0,0,0,0,0] => 11
[1,1,1,1,0,0,0,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,0] => 8
[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] => 9
[1,1,1,1,0,0,1,0,0,0,1,0] => 9
[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] => 10
[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] => 9
[1,1,1,1,0,1,0,0,1,0,0,0] => 10
[1,1,1,1,0,1,0,1,0,0,0,0] => 10
[1,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,1,1,1,1,0,0,0,0,1,0,0] => 10
[1,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,1,1,1,1,0,1,0,0,0,0,0] => 12
[1,1,1,1,1,1,0,0,0,0,0,0] => 12
[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] => 7
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 8
[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] => 7
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7
[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] => 8
[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] => 9
[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] => 7
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 8
[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] => 8
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[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] => 8
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 9
[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] => 9
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10
[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] => 11
[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] => 7
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[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] => 7
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 7
[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] => 8
[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] => 9
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 7
[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] => 7
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 9
[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] => 8
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 8
[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] => 9
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10
[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] => 9
[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] => 10
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 8
[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] => 9
[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] => 8
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[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] => 9
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 9
[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] => 10
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 11
[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] => 10
[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] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 9
[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] => 10
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10
[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] => 11
[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] => 10
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 12
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 12
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 13
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 13
[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] => 7
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 8
[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] => 7
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 7
[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] => 8
[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] => 9
[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] => 7
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 8
[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] => 8
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 8
[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] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 9
[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] => 9
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 10
[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] => 11
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 7
[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] => 7
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 7
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 8
[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] => 8
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 9
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 9
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 7
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 7
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 8
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 8
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 8
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 9
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 8
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 8
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 8
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 8
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 9
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 9
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 9
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 10
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 10
[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] => 9
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 10
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 11
[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] => 8
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 8
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 8
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 9
[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] => 9
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 10
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 10
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 9
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 9
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 10
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 10
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 11
[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] => 10
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 9
[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] => 9
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10
[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] => 10
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 10
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 10
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 12
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 12
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 12
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 13
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 13
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 8
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 8
[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] => 9
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[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] => 8
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 9
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 10
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 10
[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] => 8
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 9
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 8
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 9
[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] => 9
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 9
[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] => 9
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 10
[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] => 10
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 10
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11
[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] => 12
[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] => 9
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 10
[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] => 10
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 10
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 12
[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] => 11
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 12
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 12
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 13
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 10
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 10
[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] => 10
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11
[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] => 11
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 12
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 12
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 12
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 13
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 12
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 12
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 13
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 13
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 14
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 14
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 9
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 10
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 9
[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] => 9
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 10
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 10
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 10
[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] => 10
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 11
[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] => 11
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 12
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 12
[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] => 13
[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] => 10
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 10
[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] => 11
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 12
[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] => 11
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 11
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 12
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 12
[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] => 12
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 12
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 13
[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] => 14
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 12
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 12
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 12
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 13
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 13
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 12
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 12
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 13
[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] => 14
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 13
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 13
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 14
[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] => 15
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 13
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 13
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 14
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 14
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 15
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 15
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 16
[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] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 9
[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] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[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] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[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] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 9
[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] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10
[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] => 10
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11
[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] => 12
[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] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 9
[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] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 8
[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] => 8
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 10
[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] => 9
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 9
[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] => 10
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 11
[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] => 10
[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] => 11
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 12
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 9
[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] => 10
[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] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 9
[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] => 10
[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] => 11
[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] => 10
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10
[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] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 12
[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] => 11
[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] => 12
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 13
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10
[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] => 11
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11
[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] => 12
[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] => 11
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 13
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 12
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 13
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 13
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 14
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 14
[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] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[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] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[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] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 9
[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] => 9
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 9
[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] => 9
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 10
[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] => 10
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 11
[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] => 12
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8
[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] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 9
[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] => 9
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11
[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] => 10
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12
[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] => 9
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10
[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] => 10
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 12
[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] => 11
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 13
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 10
[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] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11
[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] => 11
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 13
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 13
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 13
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 14
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 14
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 9
[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] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 9
[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] => 9
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 11
[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] => 9
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 10
[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] => 10
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 10
[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] => 10
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11
[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] => 11
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 12
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 12
[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] => 13
[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] => 10
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 11
[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] => 11
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 11
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 13
[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] => 12
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 13
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 14
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11
[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] => 11
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 12
[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] => 12
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 13
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 13
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 13
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 14
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 13
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 14
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 14
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 15
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 15
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 10
[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] => 10
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 11
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 11
[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] => 11
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 12
[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] => 12
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 13
[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] => 14
[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] => 11
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 11
[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] => 12
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 13
[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] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 13
[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] => 13
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 14
[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] => 15
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 13
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 13
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 13
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 14
[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] => 15
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 15
[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] => 16
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 14
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 14
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 15
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 15
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 16
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 16
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 17
[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] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 9
[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] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[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] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[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] => 9
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 9
[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] => 9
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10
[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] => 10
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 11
[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] => 12
[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] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 9
[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] => 8
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8
[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] => 9
[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] => 10
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 8
[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] => 8
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 10
[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] => 9
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 9
[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] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 11
[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] => 10
[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] => 11
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 12
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 9
[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] => 10
[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] => 9
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 9
[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] => 10
[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] => 11
[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] => 10
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10
[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] => 11
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 12
[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] => 11
[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] => 12
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 13
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10
[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] => 11
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 11
[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] => 12
[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] => 11
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 13
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 12
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 13
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 13
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 14
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 14
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8
[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] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 9
[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] => 9
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => 12
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 10
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 10
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => 10
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => 10
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => 11
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 10
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => 13
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => 12
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => 12
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 13
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => 14
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => 14
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => 10
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => 12
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => 13
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => 10
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 10
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => 12
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => 12
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => 13
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 12
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => 13
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => 15
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 15
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => 10
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => 11
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => 11
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 12
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 13
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => 14
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 15
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 15
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 12
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => 12
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 14
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 15
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => 15
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 15
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 16
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 16
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => 14
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => 14
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 15
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 15
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 16
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 16
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 17
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => 11
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => 12
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => 12
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 13
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => 11
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => 11
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => 11
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => 13
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => 11
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 11
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 12
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => 13
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => 11
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => 12
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => 13
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => 15
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 12
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 12
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 12
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 11
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 14
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 15
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 14
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 13
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 15
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 15
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 15
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 16
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 12
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 14
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 15
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 12
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => 12
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => 13
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 15
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 15
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 15
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 16
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 13
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 13
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 15
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 15
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 14
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 15
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 15
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 16
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => 15
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 16
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 16
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 17
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 17
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 15
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 16
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 16
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 17
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 17
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 18
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => 10
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 12
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 12
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => 10
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => 10
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => 10
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => 11
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => 11
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => 12
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => 11
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => 12
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => 12
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => 13
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => 14
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => 11
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => 12
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => 13
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 14
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 14
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 14
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 14
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 15
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 15
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 16
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => 12
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => 11
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 12
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 14
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 14
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 12
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => 12
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 14
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => 13
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 14
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 14
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 15
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 15
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 16
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 13
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 15
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 15
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 15
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 15
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 16
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 15
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 16
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 16
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 17
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 17
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 15
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 16
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 16
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 17
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 17
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 18
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 12
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => 12
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 13
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => 12
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => 12
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => 12
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => 13
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => 13
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => 14
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => 14
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => 13
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 13
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 15
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 15
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 14
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 15
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 15
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 16
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 13
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 15
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 15
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 15
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 15
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 16
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 15
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 15
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 16
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 16
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 17
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 17
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 14
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => 15
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 16
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 16
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 15
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 16
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 16
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 17
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 16
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 16
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 17
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 17
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 18
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 18
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 16
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 16
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 17
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 17
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 18
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 18
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 19
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 14
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 14
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => 14
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => 14
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 15
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => 15
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 15
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 16
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 16
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 15
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 15
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 16
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 16
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 17
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 16
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 16
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 17
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 17
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 16
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 16
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 17
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 17
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 19
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 17
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 17
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 18
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 18
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 19
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 19
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 20
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 20
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 21
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 21
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 21
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 21
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 20
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 20
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 20
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 20
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 20
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 19
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 19
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 19
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => 18
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 18
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 19
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 18
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 18
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 17
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 17
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 17
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 17
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 17
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 17
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 16
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => 14
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => 12
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 14
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => 15
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => 12
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 14
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 15
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 16
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 20
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 19
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 20
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 18
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 20
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 20
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 21
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 21
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 17
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 20
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 22
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => 16
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => 16
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 16
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 17
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => 20
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => 22
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => 17
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => 17
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => 17
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 21
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => 22
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 20
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => 22
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 23
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => 23
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => 21
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => 21
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => 21
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 19
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => 22
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 20
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 22
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 23
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => 23
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 20
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 20
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => 22
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => 22
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 21
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 24
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 24
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 21
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 22
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => 22
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => 23
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => 23
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 24
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 24
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 25
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => 13
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 13
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 14
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => 14
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => 15
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 15
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 9
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 15
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 13
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 15
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 15
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 16
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 14
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 13
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => 12
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => 15
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => 13
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 14
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 14
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => 14
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => 16
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 9
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => 10
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 13
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 14
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 16
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 15
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => 15
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => 14
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => 15
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => 15
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 16
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => 10
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => 11
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => 12
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => 11
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => 12
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => 13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => 11
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => 11
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 15
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 15
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 14
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 26
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 26
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 25
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 25
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 25
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 25
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 25
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => 22
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 22
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 22
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 22
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 22
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 22
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 22
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 22
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 17
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 17
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 17
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 19
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 19
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 20
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 12
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 18
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 14
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 18
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 16
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 19
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 20
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 30
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 10
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 24
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => 24
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => 19
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 19
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => 29
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 29
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => 28
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => 28
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 26
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 26
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 25
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 30
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => 29
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => 28
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 28
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 27
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 27
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 17
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 13
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 22
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => 13
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => 15
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 16
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 17
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => 18
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => 27
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => 27
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => 28
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => 28
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => 29
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => 25
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => 25
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 11
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => 12
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => 13
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => 14
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => 13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => 12
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => 17
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 18
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 18
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 16
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 18
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 18
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 16
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 16
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 16
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 16
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 18
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 18
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 16
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 18
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 18
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 14
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 14
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 14
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 14
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 14
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 14
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 14
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 14
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 14
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 14
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 14
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 14
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 18
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 18
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 16
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 18
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 18
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 16
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 16
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 16
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 16
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 18
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 18
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 16
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 18
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 18
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 17
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 28
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 25
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 25
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 25
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 25
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 25
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 18
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 18
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 31
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 31
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => 27
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => 27
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => 35
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 35
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 31
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 35
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 31
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 31
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 17
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 19
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 20
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 36
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 27
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 31
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 27
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 23
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 23
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 24
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 24
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 24
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 22
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 22
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 22
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 22
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 24
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 24
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 24
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 24
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 22
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 22
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 20
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 22
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 22
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 20
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 20
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 22
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 22
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 20
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 22
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 22
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 24
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 24
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 24
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 24
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 24
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 22
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 22
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 22
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 22
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 24
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 20
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 20
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 18
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 20
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 20
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 18
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 18
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 20
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 20
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 18
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 20
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 20
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 18
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 18
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 18
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 18
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 20
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 20
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 18
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 20
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 20
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 18
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 18
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 18
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 18
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 20
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 20
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 18
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 20
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 24
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 24
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 24
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 24
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 24
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 22
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 22
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 22
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 22
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 24
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 24
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 24
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 24
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 24
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 22
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 22
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 20
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 22
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 22
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 20
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 20
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 22
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 22
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 20
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 22
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 22
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 24
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 24
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 24
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 24
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 24
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 22
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 22
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 22
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 22
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 24
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 24
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 24
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 24
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 24
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 37
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 37
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Created: Nov 06, 2017 at 10:53 by Martin Rubey
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Last Updated: Feb 05, 2022 at 21:55 by Martin Rubey