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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000979
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: Half of MacMahon's equal index of a Dyck path.
This is half the sum of the positions of double (up- or down-)steps of a Dyck path, see [1, p. 135].
-----------------------------------------------------------------------------
References: [1] MacMahon, P. A. Combinatory analysis [[MathSciNet:0141605]]
-----------------------------------------------------------------------------
Code:
def statistic(p):
return sum( i+1 for i in range(len(p)-1) if p[i] == p[i+1] ) / 2
-----------------------------------------------------------------------------
Statistic values:
[] => 0
[1,0] => 0
[1,0,1,0] => 0
[1,1,0,0] => 2
[1,0,1,0,1,0] => 0
[1,0,1,1,0,0] => 4
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 3
[1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0] => 10
[1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,0] => 9
[1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,0,0] => 8
[1,1,1,1,0,0,0,0] => 12
[1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,0,0] => 14
[1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0] => 12
[1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0] => 13
[1,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,0,0] => 18
[1,1,0,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,0] => 10
[1,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0] => 9
[1,1,0,0,1,1,1,0,0,0] => 16
[1,1,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0] => 11
[1,1,0,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,0] => 12
[1,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,1,0,1,0,0,0] => 11
[1,1,0,1,1,1,0,0,0,0] => 17
[1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 14
[1,1,1,0,0,1,0,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,0,0] => 15
[1,1,1,0,1,0,0,0,1,0] => 8
[1,1,1,0,1,0,0,1,0,0] => 9
[1,1,1,0,1,0,1,0,0,0] => 10
[1,1,1,0,1,1,0,0,0,0] => 16
[1,1,1,1,0,0,0,0,1,0] => 12
[1,1,1,1,0,0,0,1,0,0] => 13
[1,1,1,1,0,0,1,0,0,0] => 14
[1,1,1,1,0,1,0,0,0,0] => 15
[1,1,1,1,1,0,0,0,0,0] => 20
[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] => 10
[1,0,1,0,1,0,1,1,0,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,0,1,0,1,1,0,1,0,0,1,0] => 7
[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] => 17
[1,0,1,0,1,1,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,1,0,0] => 15
[1,0,1,0,1,1,1,0,1,0,0,0] => 16
[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] => 4
[1,0,1,1,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,1,0,0,1,0] => 12
[1,0,1,1,0,0,1,1,0,1,0,0] => 13
[1,0,1,1,0,0,1,1,1,0,0,0] => 22
[1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,1,0,0] => 15
[1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0] => 16
[1,0,1,1,0,1,1,0,0,0,1,0] => 13
[1,0,1,1,0,1,1,0,0,1,0,0] => 14
[1,0,1,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,1,1,0,0,0,0] => 23
[1,0,1,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0] => 20
[1,0,1,1,1,0,0,1,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,0,1,1,0,0,0] => 21
[1,0,1,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,1,0,0] => 13
[1,0,1,1,1,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,0,1,1,0,0,0,0] => 22
[1,0,1,1,1,1,0,0,0,0,1,0] => 18
[1,0,1,1,1,1,0,0,0,1,0,0] => 19
[1,0,1,1,1,1,0,0,1,0,0,0] => 20
[1,0,1,1,1,1,0,1,0,0,0,0] => 21
[1,0,1,1,1,1,1,0,0,0,0,0] => 28
[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] => 12
[1,1,0,0,1,0,1,1,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,0,0] => 20
[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] => 18
[1,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,1,0,0,0] => 19
[1,1,0,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,1,1,0,0,1,0,0] => 17
[1,1,0,0,1,1,1,0,1,0,0,0] => 18
[1,1,0,0,1,1,1,1,0,0,0,0] => 26
[1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0] => 13
[1,1,0,1,0,0,1,1,0,0,1,0] => 11
[1,1,0,1,0,0,1,1,0,1,0,0] => 12
[1,1,0,1,0,0,1,1,1,0,0,0] => 21
[1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,0] => 14
[1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,0] => 15
[1,1,0,1,0,1,1,0,0,0,1,0] => 12
[1,1,0,1,0,1,1,0,0,1,0,0] => 13
[1,1,0,1,0,1,1,0,1,0,0,0] => 14
[1,1,0,1,0,1,1,1,0,0,0,0] => 22
[1,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,0,1,1,0,0] => 19
[1,1,0,1,1,0,0,1,0,0,1,0] => 10
[1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,1,0,1,1,0,0,1,1,0,0,0] => 20
[1,1,0,1,1,0,1,0,0,0,1,0] => 11
[1,1,0,1,1,0,1,0,0,1,0,0] => 12
[1,1,0,1,1,0,1,0,1,0,0,0] => 13
[1,1,0,1,1,0,1,1,0,0,0,0] => 21
[1,1,0,1,1,1,0,0,0,0,1,0] => 17
[1,1,0,1,1,1,0,0,0,1,0,0] => 18
[1,1,0,1,1,1,0,0,1,0,0,0] => 19
[1,1,0,1,1,1,0,1,0,0,0,0] => 20
[1,1,0,1,1,1,1,0,0,0,0,0] => 27
[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] => 16
[1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,1,1,0,0,0,1,1,0,1,0,0] => 15
[1,1,1,0,0,0,1,1,1,0,0,0] => 24
[1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,0,0] => 17
[1,1,1,0,0,1,0,1,0,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,1,0,0] => 9
[1,1,1,0,0,1,0,1,1,0,0,0] => 18
[1,1,1,0,0,1,1,0,0,0,1,0] => 15
[1,1,1,0,0,1,1,0,0,1,0,0] => 16
[1,1,1,0,0,1,1,0,1,0,0,0] => 17
[1,1,1,0,0,1,1,1,0,0,0,0] => 25
[1,1,1,0,1,0,0,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,1,0,0] => 10
[1,1,1,0,1,0,0,1,1,0,0,0] => 19
[1,1,1,0,1,0,1,0,0,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,1,0,0] => 11
[1,1,1,0,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,0,0] => 20
[1,1,1,0,1,1,0,0,0,0,1,0] => 16
[1,1,1,0,1,1,0,0,0,1,0,0] => 17
[1,1,1,0,1,1,0,0,1,0,0,0] => 18
[1,1,1,0,1,1,0,1,0,0,0,0] => 19
[1,1,1,0,1,1,1,0,0,0,0,0] => 26
[1,1,1,1,0,0,0,0,1,0,1,0] => 12
[1,1,1,1,0,0,0,0,1,1,0,0] => 22
[1,1,1,1,0,0,0,1,0,0,1,0] => 13
[1,1,1,1,0,0,0,1,0,1,0,0] => 14
[1,1,1,1,0,0,0,1,1,0,0,0] => 23
[1,1,1,1,0,0,1,0,0,0,1,0] => 14
[1,1,1,1,0,0,1,0,0,1,0,0] => 15
[1,1,1,1,0,0,1,0,1,0,0,0] => 16
[1,1,1,1,0,0,1,1,0,0,0,0] => 24
[1,1,1,1,0,1,0,0,0,0,1,0] => 15
[1,1,1,1,0,1,0,0,0,1,0,0] => 16
[1,1,1,1,0,1,0,0,1,0,0,0] => 17
[1,1,1,1,0,1,0,1,0,0,0,0] => 18
[1,1,1,1,0,1,1,0,0,0,0,0] => 25
[1,1,1,1,1,0,0,0,0,0,1,0] => 20
[1,1,1,1,1,0,0,0,0,1,0,0] => 21
[1,1,1,1,1,0,0,0,1,0,0,0] => 22
[1,1,1,1,1,0,0,1,0,0,0,0] => 23
[1,1,1,1,1,0,1,0,0,0,0,0] => 24
[1,1,1,1,1,1,0,0,0,0,0,0] => 30
[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] => 12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 11
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 22
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 20
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 21
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 19
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 30
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 28
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 19
[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] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 18
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 19
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 29
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 26
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 15
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 27
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 16
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 17
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 18
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 28
[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] => 25
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 26
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 27
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 36
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 26
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 24
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 13
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 25
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 23
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 24
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 34
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 15
[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] => 27
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 18
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 19
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 16
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 17
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 18
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 28
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 13
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 25
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 14
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 15
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 26
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 15
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 17
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 27
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 23
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 24
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 25
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 26
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 35
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 22
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 20
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 21
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 32
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 24
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 21
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 22
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 23
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 33
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 24
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 25
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 15
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 26
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 22
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 23
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 24
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 25
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 34
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 18
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 30
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 19
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 20
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 31
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 20
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 21
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 22
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 32
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 21
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 22
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 23
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 24
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 33
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 28
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 29
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 30
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 31
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 32
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 40
[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] => 14
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 13
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 24
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 22
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 11
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 12
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 23
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 20
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 21
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 22
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 32
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 20
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 19
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 30
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 21
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 22
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 20
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 21
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 31
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 16
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 28
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 18
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 29
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 19
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 20
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 30
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 26
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 27
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 28
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 29
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 38
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 13
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 14
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 25
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 11
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 23
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 12
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 13
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 24
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 21
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 22
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 23
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 33
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[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] => 14
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 15
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 26
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 17
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 18
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 15
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 16
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 17
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 27
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 12
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 24
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 13
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 14
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 25
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 14
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 15
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 16
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 26
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 22
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 23
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 24
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 25
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 34
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 21
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 19
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 20
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 31
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 10
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 22
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 12
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 23
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 20
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 21
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 22
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 32
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 23
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 12
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 13
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 24
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 13
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 14
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 15
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 25
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 21
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 22
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 23
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 24
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 33
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 17
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 29
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 18
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 19
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 30
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 19
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 20
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 21
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 31
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 20
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 21
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 22
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 23
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 32
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 27
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 28
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 29
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 30
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 31
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 39
[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] => 18
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 16
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 17
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 28
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 26
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 15
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 16
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 27
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 24
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 25
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 26
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 36
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 19
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 17
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 18
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 29
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 20
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 21
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 18
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 19
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 20
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 30
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 15
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 27
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 16
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 17
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 28
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 17
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 18
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 19
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 29
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 25
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 26
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 27
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 28
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 37
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 20
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 18
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 19
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 30
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 21
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 22
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 19
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 20
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 21
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 31
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 22
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 12
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 23
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 24
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 20
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 21
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 22
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 23
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 32
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 16
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 28
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 17
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 18
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 29
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 18
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 19
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 20
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 30
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 19
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 20
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 21
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 22
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 31
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 26
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 27
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 28
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 29
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 30
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 38
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 12
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 24
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 22
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 23
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 34
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 13
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 25
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 14
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 15
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 26
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 23
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 24
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 25
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 35
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 14
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 26
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 15
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 16
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 27
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 16
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 17
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 18
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 28
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 24
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 25
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 26
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 27
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 36
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 15
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 27
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 16
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 17
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 28
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 17
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 18
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 19
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 29
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 18
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 19
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 20
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 21
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 30
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 25
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 26
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 27
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 29
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 37
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 20
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 32
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 21
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 22
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 33
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 22
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 23
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 24
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 34
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 23
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 24
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 25
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 26
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 35
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 24
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 25
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 26
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 27
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 28
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 36
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 30
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 31
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 32
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 33
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 34
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 35
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 42
[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] => 14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 13
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 26
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 24
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 11
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 25
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 22
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 23
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 24
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 36
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 22
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 20
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 21
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 34
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 23
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 11
[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] => 21
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 22
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 23
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 35
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 32
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 20
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 33
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 20
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 21
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 22
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 34
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 30
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 31
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 32
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 33
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 44
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 20
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 19
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 32
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 16
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 30
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 17
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 31
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 28
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 29
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 30
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 42
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 21
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 20
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 33
[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] => 22
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 23
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 20
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 21
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 22
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 34
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 17
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 31
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 18
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 19
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 32
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 20
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 21
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 33
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 29
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 30
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 31
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 32
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 43
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 28
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 26
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 27
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 40
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 15
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 29
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 16
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 17
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 30
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 27
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 28
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 29
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 41
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 16
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 30
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 17
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 18
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 31
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 18
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 19
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 20
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 32
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 28
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 29
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 30
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 31
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 42
[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] => 38
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 25
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 26
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 39
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 26
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 27
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 28
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 40
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 27
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 28
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 29
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 30
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 41
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 36
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 37
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 38
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 39
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 40
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 50
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 18
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 16
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 17
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 30
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 28
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 15
[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] => 29
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 26
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 27
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 28
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 40
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 26
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 24
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 25
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 38
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 13
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 27
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 28
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 25
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 26
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 27
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 39
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 22
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 36
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 23
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 24
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 37
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 24
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 25
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 26
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 38
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 34
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 35
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 36
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 37
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 48
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 19
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 17
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 31
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 29
[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] => 17
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 30
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 27
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 28
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 29
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 41
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 20
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 19
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 32
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 21
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 22
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 19
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 20
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 21
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 33
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 16
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 30
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 17
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 18
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 31
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 19
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 20
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 32
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 28
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 29
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 30
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 31
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 42
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 13
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 27
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 25
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 26
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 39
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 14
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 28
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 15
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 29
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 26
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 27
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 28
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 40
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 15
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 29
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 16
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 17
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 30
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 17
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 18
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 19
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 31
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 27
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 28
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 29
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 30
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 41
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 23
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 37
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 24
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 25
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 38
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 25
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 26
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 27
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 39
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 26
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 27
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 28
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 29
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 40
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 35
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 36
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 37
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 38
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 39
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 49
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 24
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 22
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 23
[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] => 20
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 34
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 21
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 22
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 35
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 32
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 33
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 34
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 46
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 25
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 24
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 37
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 26
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 13
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 27
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 24
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 25
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 26
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 38
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 21
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 35
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 22
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 23
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 36
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 23
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 25
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 37
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 33
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 34
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 35
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 36
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 47
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 26
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 24
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 25
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 38
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 13
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 27
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 14
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 15
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 28
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 25
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 26
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 27
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 39
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 28
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 15
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 29
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 30
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 26
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 27
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 28
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 29
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 40
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 22
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 36
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 23
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 24
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 37
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 24
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 25
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 26
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 38
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 25
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 26
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 27
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 28
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 39
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 34
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 35
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 36
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 37
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 38
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 48
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 18
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 32
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 30
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 31
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 44
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 19
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 33
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 20
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 21
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 34
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 31
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 32
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 33
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 45
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 20
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 34
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 21
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 22
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 35
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 22
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 23
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 24
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 36
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 32
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 33
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 34
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 35
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 46
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 21
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 35
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 22
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 23
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 36
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 23
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 25
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 37
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 24
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 25
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 26
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 27
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 38
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 33
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 34
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 35
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 36
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 37
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 47
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 28
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 42
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 29
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 30
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 43
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 30
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 31
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 32
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 44
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 31
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 32
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 33
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 34
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 45
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 32
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 33
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 34
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 35
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 36
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 46
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 40
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 41
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 42
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 43
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 44
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 45
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 54
[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] => 16
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 14
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 28
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 26
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 13
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 27
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 24
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 25
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 26
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 38
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 24
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 22
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 23
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 36
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 11
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 25
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 12
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 13
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 26
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 23
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 24
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 25
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 37
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 20
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 34
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 21
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 22
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 35
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 22
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 23
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 24
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 36
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 32
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 33
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 34
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 35
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 46
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 22
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 20
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 21
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 34
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 32
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 33
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 30
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 31
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 32
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 44
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 23
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 21
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 22
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 35
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 10
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 24
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 25
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 22
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 23
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 24
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 36
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 33
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 20
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 21
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 34
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 21
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 22
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 23
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 35
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 31
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 32
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 33
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 34
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 45
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 30
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 28
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 29
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 42
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 17
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 31
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 18
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 19
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 32
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 29
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 30
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 31
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 43
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 18
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 32
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 19
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 20
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 33
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 20
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 21
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 22
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 34
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 30
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 31
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 32
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 33
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 44
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 26
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 40
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 27
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 28
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 41
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 28
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 29
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 30
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 42
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 29
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 30
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 31
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 32
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 43
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 38
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 39
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 40
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 41
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 42
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 52
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 17
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[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] => 29
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 13
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 27
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 28
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 25
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 26
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 27
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 39
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 11
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 26
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 24
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 19
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 20
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 8
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 21
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 19
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 20
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 32
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 17
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 19
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 15
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 13
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 24
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 24
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => 47
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 22
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => 36
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => 46
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 41
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => 44
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => 34
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => 35
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => 45
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => 41
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => 42
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 43
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 44
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 53
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 36
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 18
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => 51
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 32
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 32
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 44
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 22
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 21
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 10
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 13
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 26
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 14
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 16
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 28
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => 26
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => 27
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => 38
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => 24
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => 36
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => 25
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => 26
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => 37
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => 34
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => 35
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => 36
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => 46
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 32
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => 22
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => 34
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 32
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => 33
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 44
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 20
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => 23
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => 35
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => 24
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => 25
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => 36
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => 33
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => 34
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 35
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => 45
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 40
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => 30
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => 42
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => 31
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 32
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 43
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => 32
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 33
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => 34
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => 44
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 38
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => 39
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 40
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 41
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 42
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 43
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 52
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 36
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 36
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 48
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 20
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => 32
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => 30
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => 31
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => 42
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => 28
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => 40
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => 29
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => 30
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => 41
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => 38
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => 39
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => 40
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => 50
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 18
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => 21
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => 33
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => 31
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 32
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => 43
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 32
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 22
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => 34
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => 23
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => 24
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => 35
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 30
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 32
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => 33
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => 34
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 44
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 39
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => 29
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => 41
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => 30
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => 31
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => 42
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 30
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 31
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 32
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => 33
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 43
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 37
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 38
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 39
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 40
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => 41
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 42
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 51
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 36
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => 26
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => 38
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 34
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 36
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => 37
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 48
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 37
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => 27
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => 39
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => 28
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => 29
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => 40
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 35
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => 36
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 37
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => 38
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => 39
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 49
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 38
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => 28
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => 40
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 29
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => 30
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => 41
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 28
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 29
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => 30
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => 31
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 32
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 42
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 36
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 37
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 38
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 39
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 40
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 41
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 50
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 44
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => 45
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => 33
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => 34
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => 46
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 33
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 34
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => 35
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 36
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 47
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 34
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 35
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => 36
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 37
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 38
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 48
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 35
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 36
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => 37
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 38
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 39
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 40
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 49
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 42
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 43
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 44
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 45
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 46
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 47
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 48
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 56
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 56
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 70
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => 48
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 60
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 47
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => 49
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 59
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 61
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => 50
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => 48
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 58
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 68
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 54
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => 51
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 57
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 66
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => 50
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => 52
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 56
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 58
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 24
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 22
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 23
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 14
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 61
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 49
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 60
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 57
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 58
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 59
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 69
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 12
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 17
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 68
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => 51
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => 56
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => 41
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => 50
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 54
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => 55
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => 47
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => 48
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => 49
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 64
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 57
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 58
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 62
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 63
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 72
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 27
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 28
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 50
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 64
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 40
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 56
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 18
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 52
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 17
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 18
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 16
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 14
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 25
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 23
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 13
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 40
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => 32
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => 31
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => 33
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 39
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 41
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 72
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 88
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => 63
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 77
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => 64
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 76
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 74
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 86
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 70
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => 66
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 74
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 84
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 18
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 17
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 10
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 13
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 66
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 54
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 90
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 27
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 79
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 87
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 73
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => 64
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 80
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 20
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 50
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 48
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 47
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 46
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 44
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 46
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 44
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 44
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 42
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 44
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 42
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 41
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 40
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 38
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 45
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 43
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 42
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 41
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 39
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 42
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 40
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 40
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 38
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 41
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 39
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 38
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 37
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 35
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 42
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 40
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 39
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 38
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 36
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 38
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 36
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 36
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 34
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 36
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 34
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 33
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 32
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 30
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 18
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => 71
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 76
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => 63
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => 65
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 75
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => 77
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => 45
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 55
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 90
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 108
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 19
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => 98
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => 91
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => 99
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => 81
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 95
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 22
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 110
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 106
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 107
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => 92
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 70
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 84
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => 75
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => 73
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => 72
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => 71
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => 69
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => 71
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => 69
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => 69
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => 67
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => 69
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => 67
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => 66
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => 65
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => 63
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 70
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 68
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 67
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 66
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 64
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => 67
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => 65
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 65
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 63
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => 66
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => 64
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 63
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => 62
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 60
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => 67
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => 65
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => 64
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => 63
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => 61
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 63
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 61
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => 61
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 59
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => 61
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => 59
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 58
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => 57
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => 55
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => 69
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => 67
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => 66
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => 65
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => 63
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => 65
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => 63
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => 63
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => 61
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => 63
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => 61
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => 60
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => 59
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 57
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 65
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 63
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 62
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 61
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 59
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 63
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 61
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 60
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 59
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 57
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => 63
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => 61
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 61
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 59
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => 60
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => 58
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 59
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 57
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 57
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 55
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => 63
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => 61
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 60
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => 59
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 57
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => 59
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => 57
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 57
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 55
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => 57
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 55
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => 54
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 53
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => 51
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => 65
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => 63
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => 62
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => 61
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => 59
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 61
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 59
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => 59
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 57
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => 59
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => 57
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 56
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => 55
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => 53
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => 60
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => 58
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => 57
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => 56
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => 54
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 57
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 55
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 55
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 53
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => 56
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 54
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => 53
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 52
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => 50
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => 57
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => 55
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 54
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => 53
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => 51
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => 53
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => 51
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 51
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => 49
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => 51
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => 49
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => 48
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => 47
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 45
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => 111
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 129
-----------------------------------------------------------------------------
Created: Sep 08, 2017 at 12:22 by Christian Stump
-----------------------------------------------------------------------------
Last Updated: Mar 10, 2021 at 15:23 by Martin Rubey