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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000984
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The number of boxes below precisely one peak.
Imagine that each peak of the Dyck path, drawn with north and east steps, casts a shadow onto the triangular region between it and the diagonal. This statistic is the number of cells which are in the shade of precisely one peak.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def cells(D):
n = len(D)/2 + 1
a = list(reversed(D.reverse().to_area_sequence()))
return [ (i,j) for j in range(1,n) for i in range(j) if j <= i+a[i]+1 ]
def peaks(D):
ps = []
for x in D.peaks():
x += 1
i = D[:x].count(0)
j = x-i-1
if i < j:
ps.append( (i,j) )
return ps
def statistic(D):
cs = cells(D)
ps = peaks(D)
return len([c for c in cs if sum( 1 for p in ps if p[0] <= c[0] < c[1] <= p[1] ) == 1])
-----------------------------------------------------------------------------
Statistic values:
[1,0,1,0] => 0
[1,1,0,0] => 1
[1,0,1,0,1,0] => 0
[1,0,1,1,0,0] => 1
[1,1,0,0,1,0] => 1
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,0] => 2
[1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0] => 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] => 4
[1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,1,1,1,0,0,0,0] => 6
[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] => 4
[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] => 5
[1,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,1,0,0,0,0] => 7
[1,1,1,0,0,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,0] => 5
[1,1,1,0,1,1,0,0,0,0] => 7
[1,1,1,1,0,0,0,0,1,0] => 6
[1,1,1,1,0,0,0,1,0,0] => 7
[1,1,1,1,0,0,1,0,0,0] => 7
[1,1,1,1,0,1,0,0,0,0] => 6
[1,1,1,1,1,0,0,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => 3
[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] => 4
[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] => 6
[1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,0] => 6
[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] => 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] => 4
[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] => 5
[1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,1,1,1,0,0,0,0] => 7
[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] => 5
[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] => 6
[1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,1,0,1,1,0,1,0,0,0] => 6
[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] => 4
[1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,1,0,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,1,0,1,1,0,1,1,0,0,0,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,0,0,1,0,0,0] => 8
[1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,0] => 11
[1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,0] => 7
[1,1,1,0,0,1,1,0,1,0,0,0] => 7
[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] => 4
[1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,0,0] => 7
[1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,1,1,0,0,0,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,0,0] => 8
[1,1,1,0,1,1,0,0,1,0,0,0] => 8
[1,1,1,0,1,1,0,1,0,0,0,0] => 7
[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] => 6
[1,1,1,1,0,0,0,0,1,1,0,0] => 7
[1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,1,1,1,0,0,1,0,0,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,0,0] => 8
[1,1,1,1,0,0,1,0,1,0,0,0] => 8
[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] => 6
[1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,1,1,1,0,1,0,0,1,0,0,0] => 7
[1,1,1,1,0,1,0,1,0,0,0,0] => 7
[1,1,1,1,0,1,1,0,0,0,0,0] => 10
[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] => 11
[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] => 10
[1,1,1,1,1,0,1,0,0,0,0,0] => 8
[1,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[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] => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[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] => 5
[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] => 7
[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] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[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] => 5
[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] => 7
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7
[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] => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 7
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[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] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15
[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] => 4
[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] => 5
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 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] => 5
[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] => 6
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7
[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] => 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] => 5
[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] => 6
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 6
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 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] => 6
[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] => 7
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7
[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] => 5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 8
[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] => 9
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 12
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8
[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] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 8
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 9
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 9
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 8
[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] => 7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 8
[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] => 8
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9
[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] => 7
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 8
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 8
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 12
[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] => 11
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 7
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 9
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 8
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 8
[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] => 6
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 10
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9
[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] => 10
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 13
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 9
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 8
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 12
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 7
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 8
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 8
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11
[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] => 12
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 16
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 9
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 8
[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] => 9
[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] => 10
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 12
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 9
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 10
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 8
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 9
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10
[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] => 11
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 10
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 14
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 10
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 7
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 8
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 9
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 15
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 10
[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] => 12
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 13
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11
[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] => 12
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 14
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 10
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11
[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] => 8
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 9
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 9
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 9
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 13
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 16
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 16
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 15
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 13
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[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] => 5
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[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] => 5
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[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] => 5
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 6
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[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] => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[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] => 5
[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] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[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] => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[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] => 6
[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] => 8
[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] => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 7
[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] => 6
[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] => 8
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 11
[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] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 7
[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] => 6
[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] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 11
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 8
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 7
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 8
[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] => 4
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11
[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] => 12
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 9
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 8
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9
[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] => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 8
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 8
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 16
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10
[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] => 7
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 10
[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] => 6
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 8
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 8
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 9
[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] => 10
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11
[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] => 11
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 10
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 9
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 9
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 9
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 9
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 13
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 15
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 16
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 16
[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] => 13
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 10
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 21
[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] => 4
[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] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 7
[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] => 5
[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] => 6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 11
[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] => 5
[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] => 6
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 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] => 6
[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] => 7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 7
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 7
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 8
[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] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 10
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 8
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 12
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 11
[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] => 12
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 16
[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] => 5
[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] => 6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 6
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
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Created: Sep 13, 2017 at 16:11 by Martin Rubey
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Last Updated: Sep 13, 2017 at 16:11 by Martin Rubey