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-----------------------------------------------------------------------------
Statistic identifier: St000032
-----------------------------------------------------------------------------
Collection: Dyck paths
-----------------------------------------------------------------------------
Description: The number of elements smaller than the given Dyck path in the Tamari Order.
-----------------------------------------------------------------------------
References: [1] [[wikipedia:Tamari_lattice]]
[2] Pons, V., Chatel, G. Counting smaller trees in the Tamari order [[arXiv:1212.0751]]
-----------------------------------------------------------------------------
Code:
def statistic(x):
return len(x.to_binary_tree_tamari().tamari_smaller())
-----------------------------------------------------------------------------
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] => 3
[1,1,1,0,0,0] => 5
[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] => 3
[1,0,1,1,1,0,0,0] => 5
[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] => 3
[1,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,0,1,0] => 5
[1,1,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,0,0] => 9
[1,1,1,1,0,0,0,0] => 14
[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] => 3
[1,0,1,0,1,1,1,0,0,0] => 5
[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] => 3
[1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,1,1,1,0,0,0,0] => 14
[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] => 6
[1,1,0,0,1,1,1,0,0,0] => 10
[1,1,0,1,0,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,1,0,0] => 6
[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] => 9
[1,1,0,1,1,0,0,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,0] => 9
[1,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,1,1,1,0,0,0,0] => 19
[1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,0] => 10
[1,1,1,0,0,1,0,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0] => 9
[1,1,1,0,0,1,1,0,0,0] => 16
[1,1,1,0,1,0,0,0,1,0] => 9
[1,1,1,0,1,0,0,1,0,0] => 12
[1,1,1,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,0,0,0] => 23
[1,1,1,1,0,0,0,0,1,0] => 14
[1,1,1,1,0,0,0,1,0,0] => 19
[1,1,1,1,0,0,1,0,0,0] => 23
[1,1,1,1,0,1,0,0,0,0] => 28
[1,1,1,1,1,0,0,0,0,0] => 42
[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] => 3
[1,0,1,0,1,0,1,1,1,0,0,0] => 5
[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] => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,0] => 14
[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] => 6
[1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,1,0,1,1,1,0,0,0,0] => 19
[1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,0] => 16
[1,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,0] => 12
[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] => 23
[1,0,1,1,1,1,0,0,0,0,1,0] => 14
[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] => 23
[1,0,1,1,1,1,0,1,0,0,0,0] => 28
[1,0,1,1,1,1,1,0,0,0,0,0] => 42
[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] => 6
[1,1,0,0,1,0,1,1,1,0,0,0] => 10
[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] => 6
[1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,0] => 14
[1,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,1,0,0,1,1,1,0,0,1,0,0] => 14
[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] => 28
[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] => 6
[1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,1,1,0,0,0] => 15
[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] => 8
[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] => 11
[1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,1,0,1,0,1,1,1,0,0,0,0] => 24
[1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,0] => 14
[1,1,0,1,1,0,0,1,0,0,1,0] => 9
[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] => 12
[1,1,0,1,1,0,1,0,0,1,0,0] => 15
[1,1,0,1,1,0,1,0,1,0,0,0] => 18
[1,1,0,1,1,0,1,1,0,0,0,0] => 30
[1,1,0,1,1,1,0,0,0,0,1,0] => 19
[1,1,0,1,1,1,0,0,0,1,0,0] => 24
[1,1,0,1,1,1,0,0,1,0,0,0] => 30
[1,1,0,1,1,1,0,1,0,0,0,0] => 37
[1,1,0,1,1,1,1,0,0,0,0,0] => 56
[1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,1,1,0,0,0,1,1,0,0,1,0] => 10
[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] => 25
[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] => 14
[1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,1,1,0,0,1,0,1,1,0,0,0] => 20
[1,1,1,0,0,1,1,0,0,0,1,0] => 16
[1,1,1,0,0,1,1,0,0,1,0,0] => 20
[1,1,1,0,0,1,1,0,1,0,0,0] => 27
[1,1,1,0,0,1,1,1,0,0,0,0] => 43
[1,1,1,0,1,0,0,0,1,0,1,0] => 9
[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] => 12
[1,1,1,0,1,0,0,1,0,1,0,0] => 15
[1,1,1,0,1,0,0,1,1,0,0,0] => 27
[1,1,1,0,1,0,1,0,0,0,1,0] => 14
[1,1,1,0,1,0,1,0,0,1,0,0] => 18
[1,1,1,0,1,0,1,0,1,0,0,0] => 20
[1,1,1,0,1,0,1,1,0,0,0,0] => 34
[1,1,1,0,1,1,0,0,0,0,1,0] => 23
[1,1,1,0,1,1,0,0,0,1,0,0] => 30
[1,1,1,0,1,1,0,0,1,0,0,0] => 34
[1,1,1,0,1,1,0,1,0,0,0,0] => 43
[1,1,1,0,1,1,1,0,0,0,0,0] => 66
[1,1,1,1,0,0,0,0,1,0,1,0] => 14
[1,1,1,1,0,0,0,0,1,1,0,0] => 28
[1,1,1,1,0,0,0,1,0,0,1,0] => 19
[1,1,1,1,0,0,0,1,0,1,0,0] => 24
[1,1,1,1,0,0,0,1,1,0,0,0] => 43
[1,1,1,1,0,0,1,0,0,0,1,0] => 23
[1,1,1,1,0,0,1,0,0,1,0,0] => 30
[1,1,1,1,0,0,1,0,1,0,0,0] => 34
[1,1,1,1,0,0,1,1,0,0,0,0] => 57
[1,1,1,1,0,1,0,0,0,0,1,0] => 28
[1,1,1,1,0,1,0,0,0,1,0,0] => 37
[1,1,1,1,0,1,0,0,1,0,0,0] => 43
[1,1,1,1,0,1,0,1,0,0,0,0] => 48
[1,1,1,1,0,1,1,0,0,0,0,0] => 76
[1,1,1,1,1,0,0,0,0,0,1,0] => 42
[1,1,1,1,1,0,0,0,0,1,0,0] => 56
[1,1,1,1,1,0,0,0,1,0,0,0] => 66
[1,1,1,1,1,0,0,1,0,0,0,0] => 76
[1,1,1,1,1,0,1,0,0,0,0,0] => 90
[1,1,1,1,1,1,0,0,0,0,0,0] => 132
[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] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 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] => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 14
[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] => 6
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 19
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 16
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 14
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 23
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 19
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 23
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 28
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 42
[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] => 6
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10
[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] => 6
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 14
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 14
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 28
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 24
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 14
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 20
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 18
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 30
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 19
[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] => 30
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 37
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 56
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 15
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 25
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 14
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 20
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 20
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 27
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 43
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 18
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 15
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 27
[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] => 18
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 20
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 34
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 23
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 30
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 34
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 43
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 66
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 28
[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] => 24
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 43
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 23
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 30
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 34
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 57
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 28
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 37
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 43
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 48
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 76
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 42
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 56
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 66
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 76
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 90
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 132
[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] => 6
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10
[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] => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 14
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 18
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 28
[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] => 12
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 12
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 18
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 14
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 18
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 24
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 38
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 10
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 20
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 14
[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] => 32
[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] => 24
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 28
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 46
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 28
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 38
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 46
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 56
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 84
[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] => 6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 15
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 12
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 21
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 15
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 21
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 42
[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] => 8
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 12
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 20
[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] => 10
[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] => 13
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 18
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 29
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 18
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 13
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 24
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 15
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 18
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 22
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 37
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 24
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 29
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 37
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 46
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 70
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 21
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 35
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 18
[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] => 13
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 24
[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] => 24
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 33
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 53
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 12
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 24
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 15
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 18
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 33
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 18
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 22
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 25
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 43
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 30
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 37
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 43
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 55
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 85
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 19
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 38
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 24
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 29
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 53
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 30
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 37
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 43
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 73
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 37
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 46
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 55
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 62
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 99
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 56
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 70
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 85
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 99
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 118
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 10
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 10
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 15
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 25
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 10
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 20
[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] => 20
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 35
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 25
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 35
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 45
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 70
[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] => 14
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 14
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 21
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 35
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 13
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 24
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 20
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 24
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 33
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 53
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 16
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 32
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 20
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 24
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 44
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 27
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 33
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 40
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 67
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 43
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 53
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 67
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 83
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 126
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 18
[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] => 27
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 45
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 24
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 15
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 18
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 33
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 27
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 33
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 45
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 72
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 14
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 28
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 18
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 22
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 40
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 20
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 25
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 47
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 34
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 43
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 47
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 61
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 95
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 23
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 46
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 30
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 37
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 67
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 34
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 43
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 47
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 81
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 43
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 55
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 61
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 70
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 113
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 66
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 85
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 95
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 113
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 136
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 14
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 28
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 28
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 42
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 70
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 19
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 38
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 24
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 29
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 53
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 43
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 53
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 72
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 115
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 23
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 46
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 30
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 37
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 67
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 34
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 43
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 47
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 81
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 57
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 73
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 81
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 104
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 161
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 28
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 56
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 37
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 46
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 83
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 43
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 55
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 61
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 104
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 48
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 62
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 70
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 75
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 123
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 76
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 99
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 113
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 123
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 151
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 227
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 42
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 84
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 56
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 70
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 126
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 66
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 85
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 95
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 161
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 76
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 99
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 113
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 123
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 199
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 90
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 118
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 136
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 151
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 165
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 255
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 132
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 174
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 202
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 227
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 255
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 297
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 429
[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] => 3
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[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] => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 7
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 14
[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] => 6
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 16
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 14
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 23
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 14
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 19
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 23
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 28
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 42
[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] => 6
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10
[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] => 6
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 14
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 14
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 28
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 15
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 11
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 24
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 14
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 20
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 15
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 18
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 30
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 24
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 30
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 37
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 56
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 15
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 25
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 14
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 11
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 20
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 20
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 27
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 43
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 18
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 15
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 27
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 18
[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] => 34
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 23
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 30
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 34
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 43
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 66
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 28
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 19
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 24
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 43
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 23
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 30
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 34
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 57
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 28
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 37
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 43
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 48
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 76
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 42
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 56
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 66
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 76
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 90
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 132
[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] => 6
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 10
[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] => 6
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 10
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 18
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 28
[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] => 12
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 20
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 12
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 10
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 18
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 18
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 24
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 38
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 20
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 18
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 32
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 24
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 28
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 46
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 28
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 38
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 46
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 56
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 84
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 15
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 12
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 21
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 15
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 21
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 27
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 42
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 12
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 20
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 18
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 29
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 18
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 24
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 15
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 18
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 22
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 37
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 24
[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] => 37
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 46
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 70
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 21
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 35
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 18
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 24
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 20
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 24
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 33
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 53
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 24
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 15
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 18
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 33
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 18
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 22
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 25
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 43
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 30
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 37
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 43
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 55
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 85
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 19
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 38
[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] => 29
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 53
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 30
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 37
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 43
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 73
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 37
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 46
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 55
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 62
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 99
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 56
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 70
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 85
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 99
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 118
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 174
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 15
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 25
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 20
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 15
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 20
[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] => 25
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 35
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 45
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 70
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 14
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 14
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 21
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 35
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 18
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 24
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 20
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 24
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 33
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 53
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 16
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 32
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 20
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 24
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 44
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 27
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 33
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 40
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 67
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 43
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 53
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 67
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 83
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 126
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 18
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 18
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 27
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 45
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 24
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 15
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 18
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 33
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 27
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 33
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 45
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 72
[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] => 18
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 22
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 40
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 20
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 25
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 27
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 47
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 34
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 43
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 47
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 61
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 95
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 23
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 46
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 30
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 37
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 67
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 34
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 43
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 47
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 81
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 43
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 55
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 61
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 70
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 113
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 66
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 85
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 95
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 113
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 136
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 202
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 14
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 28
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 28
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 42
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 70
[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] => 38
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 24
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 29
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 53
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 43
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 53
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 72
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 115
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 23
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 46
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 30
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 37
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 67
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 34
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 43
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 47
-----------------------------------------------------------------------------
Created: Feb 13, 2013 at 01:13 by Viviane Pons
-----------------------------------------------------------------------------
Last Updated: May 29, 2015 at 16:14 by Martin Rubey