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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St001733
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The number of weak left to right maxima of a Dyck path.
A weak left to right maximum is a peak whose height is larger than or equal to the height of all peaks to its
left.
-----------------------------------------------------------------------------
References: [1] Blecher, A., Knopfmacher, A. Left to right maxima in Dyck Paths [[arXiv:2107.03102]]
-----------------------------------------------------------------------------
Code:
def statistic(D):
hts = D.heights()
pks = D.peaks()
ht = 0
ct = 0
for pk in pks:
if hts[pk+1] >= ht:
ht = hts[pk+1]
ct += 1
return ct
-----------------------------------------------------------------------------
Statistic values:
[1,0] => 1
[1,0,1,0] => 2
[1,1,0,0] => 1
[1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 1
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,0] => 1
[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] => 3
[1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,0] => 1
[1,1,1,0,0,1,0,0] => 1
[1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0] => 4
[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] => 3
[1,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0] => 2
[1,0,1,1,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0] => 1
[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] => 3
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,0] => 2
[1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0] => 1
[1,1,1,0,0,0,1,1,0,0] => 1
[1,1,1,0,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,1,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0] => 1
[1,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,0] => 1
[1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0] => 1
[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] => 5
[1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0] => 4
[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] => 4
[1,0,1,0,1,1,1,1,0,0,0,0] => 3
[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] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => 4
[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] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0] => 4
[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] => 4
[1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => 2
[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] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0] => 1
[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] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => 2
[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] => 3
[1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => 4
[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] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => 2
[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] => 2
[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] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => 4
[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] => 3
[1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,0] => 4
[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] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => 2
[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] => 4
[1,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => 1
[1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => 1
[1,1,1,0,0,1,0,0,1,1,0,0] => 1
[1,1,1,0,0,1,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => 2
[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] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => 2
[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] => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => 1
[1,1,1,1,0,0,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => 1
[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] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[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] => 3
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[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] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[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] => 3
[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] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[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] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[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] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[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] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[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] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[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] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[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] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[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] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[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] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[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] => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[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] => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[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] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[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] => 2
[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] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4
[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] => 3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[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] => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[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] => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[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] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[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] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[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] => 4
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5
[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] => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[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] => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[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] => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[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] => 4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[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] => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[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] => 2
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[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] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[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] => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[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] => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[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] => 4
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5
[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] => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 1
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[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] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 5
[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
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 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
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[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] => 3
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 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
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[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] => 3
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[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] => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[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] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
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Created: Jul 09, 2021 at 10:39 by Martin Rubey
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Last Updated: Jul 09, 2021 at 10:39 by Martin Rubey