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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St000038
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The product of the heights of the descending steps of a Dyck path.
A Dyck path with 2n letters defines a partition inside an [n] x [n] board. This statistic counts the number of placements of n non-attacking rooks on the board.
By the Gessel-Viennot theory of orthogonal polynomials this corresponds to the 0-moment of the Hermite polynomials.
Summing the values of the statistic over all Dyck paths of fixed size n the number of perfect matchings (2n+1)!! is obtained: up steps are openers, down steps closers and the rooks determine a pairing of openers and closers.
-----------------------------------------------------------------------------
References: [1] Viennot, Gérard A combinatorial theory for general orthogonal polynomials with extensions and applications [[MathSciNet:0838979]]
-----------------------------------------------------------------------------
Code:
def statistic(x):
stat = 1
currht = 0
for c in x:
if c == 1:
currht = currht + 1
else:
stat = stat*currht
currht = currht - 1
return stat
-----------------------------------------------------------------------------
Statistic values:
[1,0] => 1
[1,0,1,0] => 1
[1,1,0,0] => 2
[1,0,1,0,1,0] => 1
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,0] => 6
[1,1,0,0,1,0,1,0] => 2
[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] => 8
[1,1,0,1,1,0,0,0] => 12
[1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,1,0,0] => 12
[1,1,1,0,1,0,0,0] => 18
[1,1,1,1,0,0,0,0] => 24
[1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,1,1,1,0,0,0,0] => 24
[1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,1,1,0,0,0] => 12
[1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,1,0,1,0,1,0,0] => 16
[1,1,0,1,0,1,1,0,0,0] => 24
[1,1,0,1,1,0,0,0,1,0] => 12
[1,1,0,1,1,0,0,1,0,0] => 24
[1,1,0,1,1,0,1,0,0,0] => 36
[1,1,0,1,1,1,0,0,0,0] => 48
[1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 12
[1,1,1,0,0,1,0,0,1,0] => 12
[1,1,1,0,0,1,0,1,0,0] => 24
[1,1,1,0,0,1,1,0,0,0] => 36
[1,1,1,0,1,0,0,0,1,0] => 18
[1,1,1,0,1,0,0,1,0,0] => 36
[1,1,1,0,1,0,1,0,0,0] => 54
[1,1,1,0,1,1,0,0,0,0] => 72
[1,1,1,1,0,0,0,0,1,0] => 24
[1,1,1,1,0,0,0,1,0,0] => 48
[1,1,1,1,0,0,1,0,0,0] => 72
[1,1,1,1,0,1,0,0,0,0] => 96
[1,1,1,1,1,0,0,0,0,0] => 120
[1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0] => 2
[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] => 8
[1,0,1,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,0,1,1,1,1,0,0,0,0] => 24
[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] => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0] => 12
[1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,0] => 16
[1,0,1,1,0,1,0,1,1,0,0,0] => 24
[1,0,1,1,0,1,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,0,1,0,0] => 24
[1,0,1,1,0,1,1,0,1,0,0,0] => 36
[1,0,1,1,0,1,1,1,0,0,0,0] => 48
[1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,0] => 24
[1,0,1,1,1,0,0,1,1,0,0,0] => 36
[1,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,1,1,0,1,0,0,1,0,0] => 36
[1,0,1,1,1,0,1,0,1,0,0,0] => 54
[1,0,1,1,1,0,1,1,0,0,0,0] => 72
[1,0,1,1,1,1,0,0,0,0,1,0] => 24
[1,0,1,1,1,1,0,0,0,1,0,0] => 48
[1,0,1,1,1,1,0,0,1,0,0,0] => 72
[1,0,1,1,1,1,0,1,0,0,0,0] => 96
[1,0,1,1,1,1,1,0,0,0,0,0] => 120
[1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,0] => 16
[1,1,0,0,1,1,0,1,1,0,0,0] => 24
[1,1,0,0,1,1,1,0,0,0,1,0] => 12
[1,1,0,0,1,1,1,0,0,1,0,0] => 24
[1,1,0,0,1,1,1,0,1,0,0,0] => 36
[1,1,0,0,1,1,1,1,0,0,0,0] => 48
[1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,0] => 16
[1,1,0,1,0,0,1,1,1,0,0,0] => 24
[1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,1,0,0] => 16
[1,1,0,1,0,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,1,0,1,0,1,0,0] => 32
[1,1,0,1,0,1,0,1,1,0,0,0] => 48
[1,1,0,1,0,1,1,0,0,0,1,0] => 24
[1,1,0,1,0,1,1,0,0,1,0,0] => 48
[1,1,0,1,0,1,1,0,1,0,0,0] => 72
[1,1,0,1,0,1,1,1,0,0,0,0] => 96
[1,1,0,1,1,0,0,0,1,0,1,0] => 12
[1,1,0,1,1,0,0,0,1,1,0,0] => 24
[1,1,0,1,1,0,0,1,0,0,1,0] => 24
[1,1,0,1,1,0,0,1,0,1,0,0] => 48
[1,1,0,1,1,0,0,1,1,0,0,0] => 72
[1,1,0,1,1,0,1,0,0,0,1,0] => 36
[1,1,0,1,1,0,1,0,0,1,0,0] => 72
[1,1,0,1,1,0,1,0,1,0,0,0] => 108
[1,1,0,1,1,0,1,1,0,0,0,0] => 144
[1,1,0,1,1,1,0,0,0,0,1,0] => 48
[1,1,0,1,1,1,0,0,0,1,0,0] => 96
[1,1,0,1,1,1,0,0,1,0,0,0] => 144
[1,1,0,1,1,1,0,1,0,0,0,0] => 192
[1,1,0,1,1,1,1,0,0,0,0,0] => 240
[1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,1,0,0] => 12
[1,1,1,0,0,0,1,1,0,0,1,0] => 12
[1,1,1,0,0,0,1,1,0,1,0,0] => 24
[1,1,1,0,0,0,1,1,1,0,0,0] => 36
[1,1,1,0,0,1,0,0,1,0,1,0] => 12
[1,1,1,0,0,1,0,0,1,1,0,0] => 24
[1,1,1,0,0,1,0,1,0,0,1,0] => 24
[1,1,1,0,0,1,0,1,0,1,0,0] => 48
[1,1,1,0,0,1,0,1,1,0,0,0] => 72
[1,1,1,0,0,1,1,0,0,0,1,0] => 36
[1,1,1,0,0,1,1,0,0,1,0,0] => 72
[1,1,1,0,0,1,1,0,1,0,0,0] => 108
[1,1,1,0,0,1,1,1,0,0,0,0] => 144
[1,1,1,0,1,0,0,0,1,0,1,0] => 18
[1,1,1,0,1,0,0,0,1,1,0,0] => 36
[1,1,1,0,1,0,0,1,0,0,1,0] => 36
[1,1,1,0,1,0,0,1,0,1,0,0] => 72
[1,1,1,0,1,0,0,1,1,0,0,0] => 108
[1,1,1,0,1,0,1,0,0,0,1,0] => 54
[1,1,1,0,1,0,1,0,0,1,0,0] => 108
[1,1,1,0,1,0,1,0,1,0,0,0] => 162
[1,1,1,0,1,0,1,1,0,0,0,0] => 216
[1,1,1,0,1,1,0,0,0,0,1,0] => 72
[1,1,1,0,1,1,0,0,0,1,0,0] => 144
[1,1,1,0,1,1,0,0,1,0,0,0] => 216
[1,1,1,0,1,1,0,1,0,0,0,0] => 288
[1,1,1,0,1,1,1,0,0,0,0,0] => 360
[1,1,1,1,0,0,0,0,1,0,1,0] => 24
[1,1,1,1,0,0,0,0,1,1,0,0] => 48
[1,1,1,1,0,0,0,1,0,0,1,0] => 48
[1,1,1,1,0,0,0,1,0,1,0,0] => 96
[1,1,1,1,0,0,0,1,1,0,0,0] => 144
[1,1,1,1,0,0,1,0,0,0,1,0] => 72
[1,1,1,1,0,0,1,0,0,1,0,0] => 144
[1,1,1,1,0,0,1,0,1,0,0,0] => 216
[1,1,1,1,0,0,1,1,0,0,0,0] => 288
[1,1,1,1,0,1,0,0,0,0,1,0] => 96
[1,1,1,1,0,1,0,0,0,1,0,0] => 192
[1,1,1,1,0,1,0,0,1,0,0,0] => 288
[1,1,1,1,0,1,0,1,0,0,0,0] => 384
[1,1,1,1,0,1,1,0,0,0,0,0] => 480
[1,1,1,1,1,0,0,0,0,0,1,0] => 120
[1,1,1,1,1,0,0,0,0,1,0,0] => 240
[1,1,1,1,1,0,0,0,1,0,0,0] => 360
[1,1,1,1,1,0,0,1,0,0,0,0] => 480
[1,1,1,1,1,0,1,0,0,0,0,0] => 600
[1,1,1,1,1,1,0,0,0,0,0,0] => 720
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 24
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 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] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 12
[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] => 8
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 16
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 24
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 36
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 48
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 24
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 36
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 36
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 54
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 72
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 24
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 48
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 72
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 96
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 120
[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] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 16
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 24
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 24
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 36
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 48
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 16
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 24
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 16
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 32
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 48
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 24
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 48
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 72
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 96
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 24
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 24
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 48
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 72
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 36
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 72
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 108
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 144
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 48
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 96
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 144
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 192
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 240
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 12
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 24
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 36
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 24
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 24
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 48
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 72
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 36
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 72
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 108
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 144
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 36
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 36
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 72
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 108
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 54
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 108
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 162
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 216
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 72
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 144
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 216
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 288
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 360
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 24
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 48
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 48
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 96
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 144
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 72
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 144
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 216
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 288
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 96
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 192
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 288
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 384
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 480
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 120
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 240
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 360
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 480
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 600
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 720
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 12
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 16
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 24
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 24
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 36
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 48
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 16
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 24
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 16
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 32
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 48
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 48
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 72
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 96
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 12
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 24
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 24
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 48
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 72
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 36
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 72
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 108
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 144
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 48
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 96
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 144
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 192
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 240
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 24
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 16
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 32
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 48
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 24
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 48
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 72
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 96
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 16
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 32
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 48
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 16
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 32
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 96
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 48
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 96
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 144
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 192
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 24
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 48
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 48
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 96
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 144
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 72
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 144
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 216
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 288
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 96
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 192
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 288
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 384
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 480
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 48
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 72
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 24
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 48
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 48
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 96
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 144
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 72
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 144
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 216
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 288
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 36
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 72
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 72
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 144
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 216
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 108
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 216
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 324
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 432
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 144
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 288
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 432
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 576
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 720
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 48
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 96
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 96
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 192
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 288
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 144
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 288
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 432
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 576
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 192
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 384
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 576
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 768
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 960
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 240
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 480
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 720
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 960
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1200
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1440
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 24
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 36
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 12
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 24
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 48
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 72
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 36
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 72
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 108
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 144
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 12
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 24
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 24
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 48
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 72
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 24
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 48
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 48
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 96
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 144
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 72
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 144
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 216
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 288
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 36
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 72
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 72
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 144
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 216
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 108
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 216
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 324
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 432
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 144
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 288
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 432
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 576
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 720
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 18
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 36
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 36
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 72
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 108
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 36
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 72
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 72
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 144
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 216
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 108
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 216
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 324
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 432
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 54
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 108
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 108
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 216
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 324
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 162
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 324
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 486
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 648
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 216
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 432
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 648
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 864
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1080
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 72
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 144
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 144
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 288
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 432
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 216
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 432
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 648
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 864
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 288
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 576
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 864
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1152
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1440
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 360
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 720
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1080
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1440
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1800
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2160
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 24
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 48
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 48
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 96
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 144
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 48
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 96
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 96
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 192
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 288
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 144
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 288
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 432
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 576
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 72
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 144
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 144
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 288
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 432
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 216
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 432
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 648
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 864
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 288
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 576
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 864
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1152
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1440
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 96
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 192
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 192
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 384
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 576
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 288
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 576
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 864
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1152
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 384
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 768
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1152
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1536
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1920
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 480
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 960
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1440
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1920
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2400
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2880
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 120
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 240
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 240
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 480
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 720
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 360
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 720
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1080
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1440
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 480
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 960
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1440
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1920
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2400
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 600
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1200
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1800
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2400
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3000
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3600
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 720
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1440
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2160
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2880
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3600
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4320
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5040
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4
[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] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4
[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] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 24
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[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] => 12
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[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] => 16
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 24
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 36
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 48
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 24
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 36
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 36
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 54
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 72
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 24
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 48
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 72
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 96
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 120
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 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] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[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] => 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] => 16
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 24
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 24
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 36
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 48
[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] => 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] => 16
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 24
[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] => 16
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 32
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 48
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 24
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 48
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 72
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 96
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 24
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 24
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 48
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 72
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 36
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 72
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 108
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 144
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 48
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 96
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 144
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 192
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 240
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 24
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 36
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 24
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 24
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 48
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 72
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 36
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 72
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 108
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 144
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 36
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 36
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 72
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 108
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 54
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 108
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 162
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 216
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 72
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 144
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 216
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 288
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 360
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 24
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 48
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 48
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 96
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 144
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 72
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 144
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 216
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 288
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 96
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 192
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 288
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 384
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 480
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 120
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 240
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 360
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 480
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 600
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 720
[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] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[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] => 12
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[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] => 16
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 24
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 24
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 36
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 48
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[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] => 16
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 24
[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] => 16
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 32
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 48
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 24
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 48
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 72
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 96
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 24
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 24
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 48
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 72
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 36
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 72
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 108
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 144
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 48
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 96
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 144
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 192
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 240
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 4
[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] => 16
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 24
[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] => 16
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 16
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 32
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 48
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 24
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 48
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 72
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 96
[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] => 16
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 16
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 32
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 48
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 16
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 32
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 32
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 64
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 96
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 48
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 96
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 144
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 192
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 24
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 48
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 48
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 96
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 144
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 72
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 144
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 216
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 288
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 96
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 192
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 288
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 384
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 480
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 24
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 24
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 48
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 72
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 24
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 48
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 48
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 96
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 144
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 72
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 144
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 216
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 288
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 36
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 72
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 72
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 144
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 216
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 108
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 216
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 324
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 432
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 144
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 288
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 432
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 576
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 720
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 48
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 96
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 96
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 192
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 288
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 144
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 288
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 432
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 576
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 192
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 384
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 576
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 768
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 960
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 240
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 480
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 720
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 960
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1200
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1440
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 24
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 36
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 24
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 24
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 48
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 72
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 36
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 72
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 108
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 144
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 24
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 24
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 48
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 72
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 24
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 48
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 48
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 96
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 144
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 72
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 144
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 216
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 288
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 36
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 72
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 72
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 144
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 216
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 108
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 216
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 324
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 432
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 144
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 288
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 432
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 576
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 720
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 18
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 36
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 36
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 72
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 108
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 36
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 72
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 72
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 144
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 216
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 108
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 216
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 324
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 432
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 54
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 108
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 108
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 216
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 324
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 162
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 324
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 486
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 648
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 216
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 432
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 648
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 864
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1080
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 72
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 144
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 144
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 288
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 432
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 216
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 432
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 648
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 864
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 288
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 576
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 864
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1152
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1440
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 360
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 720
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1080
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1440
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1800
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2160
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 24
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 48
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 48
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 96
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 144
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 48
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 96
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 96
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 192
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 288
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 144
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 288
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 432
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 576
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 72
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 144
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 144
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 288
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 432
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 216
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 432
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 648
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 864
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 288
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 576
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 864
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1152
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1440
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 96
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 192
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 192
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 384
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 576
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 288
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 576
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 864
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1152
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 384
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 768
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1152
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1536
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1920
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 480
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 960
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1440
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1920
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 2400
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2880
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 120
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 240
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 240
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 480
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 720
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 360
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 720
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1080
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1440
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 480
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 960
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1440
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1920
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2400
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 600
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1200
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1800
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2400
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3000
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 3600
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 720
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1440
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2160
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2880
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3600
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 4320
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 5040
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4
[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] => 12
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[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] => 16
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 24
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 24
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 36
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 48
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4
[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] => 16
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 24
[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] => 16
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 16
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 32
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 48
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 24
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 48
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 72
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 96
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 24
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 24
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 48
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 72
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 36
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 72
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 108
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 144
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 48
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 96
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 144
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 192
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 240
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4
[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] => 16
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 24
[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] => 16
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 32
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 48
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 24
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 48
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 72
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 96
[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] => 16
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 16
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 32
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 48
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 16
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 32
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 32
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 64
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 96
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 48
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 96
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 144
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 192
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 48
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 48
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 96
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 144
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 72
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 144
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 216
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 288
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 96
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 192
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 288
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 384
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 480
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 24
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 24
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 48
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 72
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 24
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 48
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 48
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 96
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 144
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 72
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 144
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 216
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 288
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 36
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 72
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 72
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 144
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 216
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 108
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 216
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 324
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 432
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 144
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 288
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 432
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 576
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 720
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 48
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 96
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 96
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 192
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 288
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 144
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 288
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 432
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 576
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 192
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 384
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 576
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 768
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 960
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 240
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 480
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 720
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 960
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1200
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1440
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[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] => 16
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 24
[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] => 16
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 32
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 48
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 24
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 48
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 72
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 96
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Created: Feb 18, 2013 at 18:06 by Alejandro Morales
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Last Updated: May 29, 2015 at 15:59 by Martin Rubey