edit this statistic or download as text // json
Identifier
Values
[1,0] => 0
[1,0,1,0] => 1
[1,1,0,0] => 0
[1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => 1
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0] => 3
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 4
[1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,0] => 3
[1,1,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0] => 7
[1,0,1,0,1,1,1,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,0] => 9
[1,1,0,1,0,1,0,1,0,0] => 9
[1,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0] => 7
[1,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,1,0,0,0] => 7
[1,1,1,0,1,1,0,0,0,0] => 3
[1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => 15
[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] => 11
[1,0,1,0,1,0,1,1,0,1,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,0] => 12
[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] => 8
[1,0,1,0,1,1,1,0,0,1,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0] => 13
[1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0] => 13
[1,0,1,1,0,1,0,1,0,1,0,0] => 13
[1,0,1,1,0,1,0,1,1,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0] => 9
[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] => 9
[1,0,1,1,0,1,1,1,0,0,0,0] => 4
[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] => 5
[1,0,1,1,1,0,0,1,0,0,1,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,0] => 5
>>> Load all 1200 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,0] => 9
[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] => 10
[1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0] => 11
[1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0] => 11
[1,1,0,0,1,1,0,1,0,1,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,0] => 9
[1,1,0,1,0,0,1,1,0,0,1,0] => 10
[1,1,0,1,0,0,1,1,0,1,0,0] => 10
[1,1,0,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,0] => 14
[1,1,0,1,0,1,0,0,1,1,0,0] => 9
[1,1,0,1,0,1,0,1,0,0,1,0] => 14
[1,1,0,1,0,1,0,1,0,1,0,0] => 14
[1,1,0,1,0,1,0,1,1,0,0,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,0] => 10
[1,1,0,1,0,1,1,0,0,1,0,0] => 10
[1,1,0,1,0,1,1,0,1,0,0,0] => 10
[1,1,0,1,0,1,1,1,0,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,0] => 11
[1,1,0,1,1,0,0,0,1,1,0,0] => 6
[1,1,0,1,1,0,0,1,0,0,1,0] => 11
[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] => 6
[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] => 11
[1,1,0,1,1,0,1,0,1,0,0,0] => 11
[1,1,0,1,1,0,1,1,0,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0] => 7
[1,1,0,1,1,1,0,0,1,0,0,0] => 7
[1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,0] => 12
[1,1,1,0,0,1,0,0,1,1,0,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0] => 12
[1,1,1,0,0,1,0,1,0,1,0,0] => 12
[1,1,1,0,0,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,1,1,0,0,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,1,0,0,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0] => 12
[1,1,1,0,1,0,0,0,1,1,0,0] => 7
[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] => 12
[1,1,1,0,1,0,0,1,1,0,0,0] => 7
[1,1,1,0,1,0,1,0,0,0,1,0] => 12
[1,1,1,0,1,0,1,0,0,1,0,0] => 12
[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] => 7
[1,1,1,0,1,1,0,0,0,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0] => 8
[1,1,1,0,1,1,0,0,1,0,0,0] => 8
[1,1,1,0,1,1,0,1,0,0,0,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,1,1,0,0,0,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0] => 9
[1,1,1,1,0,0,0,1,0,1,0,0] => 9
[1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,0] => 9
[1,1,1,1,0,0,1,0,0,1,0,0] => 9
[1,1,1,1,0,0,1,0,1,0,0,0] => 9
[1,1,1,1,0,0,1,1,0,0,0,0] => 4
[1,1,1,1,0,1,0,0,0,0,1,0] => 9
[1,1,1,1,0,1,0,0,0,1,0,0] => 9
[1,1,1,1,0,1,0,0,1,0,0,0] => 9
[1,1,1,1,0,1,0,1,0,0,0,0] => 9
[1,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 17
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 18
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 18
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 18
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 13
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 14
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 14
[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] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[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] => 14
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 15
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 9
[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] => 10
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 19
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 14
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 19
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 19
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 19
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 13
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 14
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 14
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 14
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 15
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 15
[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] => 9
[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] => 15
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[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] => 11
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 16
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 16
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 11
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 16
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 16
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 16
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 16
[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] => 10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 12
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 12
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[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] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 16
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[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] => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 17
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 17
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 12
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 12
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 12
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 13
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 13
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 13
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 13
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 20
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 16
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 10
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 16
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 16
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 10
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 11
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 11
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 20
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 14
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 15
[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] => 9
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 20
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 14
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 20
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 20
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 14
[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] => 15
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 15
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 9
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 16
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 10
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 16
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 16
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 10
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 16
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 16
[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] => 10
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 11
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 17
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 11
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 12
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 12
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 6
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 17
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 11
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 17
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 17
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 12
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 12
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 12
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 17
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 11
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 17
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 17
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 17
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 17
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 17
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 11
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 12
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 12
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 12
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 12
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 13
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 13
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 13
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 7
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 13
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 13
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 7
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 13
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 13
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 13
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 13
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 8
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 8
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 8
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 8
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 13
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[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] => 8
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 14
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 14
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 9
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 9
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 18
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 12
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 13
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 13
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 18
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 12
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 18
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 18
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 12
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 13
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 13
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 13
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 7
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 14
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 14
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 14
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 8
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 14
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 14
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 14
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 9
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 9
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 9
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 9
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 18
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 12
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 13
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 13
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 12
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 18
[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] => 12
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 13
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 13
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 13
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 18
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 12
[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] => 18
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 12
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 18
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 18
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 18
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 12
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 13
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 13
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 13
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 13
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 7
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 14
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 14
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 14
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 8
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 14
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 14
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 14
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 14
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 14
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 14
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 9
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 9
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 9
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 3
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 10
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 15
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 9
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 15
[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] => 9
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 10
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 10
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 10
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 15
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 9
[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] => 15
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 9
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 15
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 15
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 15
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 9
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 10
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 10
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 10
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 10
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 4
[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] => 9
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 15
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 15
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 9
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 15
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 15
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 15
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 9
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 15
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 15
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 15
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 15
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 9
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 10
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 10
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 10
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 10
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 10
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 11
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 11
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 11
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 6
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 6
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 28
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 22
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 23
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 23
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 17
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 18
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 24
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 17
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 24
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 24
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 17
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 18
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 18
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 18
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 11
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 19
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 19
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 19
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 19
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 12
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 13
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 13
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[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] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 20
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 20
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[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] => 14
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 25
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 18
[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] => 19
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 12
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 25
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 18
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 25
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 25
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 18
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 19
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 19
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 19
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 12
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 20
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 20
[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] => 20
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 13
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 14
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 14
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 14
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 14
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[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] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 21
[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] => 21
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 21
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 14
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 15
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 15
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 15
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 21
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 14
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 21
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 21
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 14
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 21
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 21
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 21
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 14
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 15
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 15
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 15
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 15
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 16
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 16
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 16
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 16
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 16
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 16
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 16
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 16
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 16
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 9
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 20
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 21
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 21
[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] => 15
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 15
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 15
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 16
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 22
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 15
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 22
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 22
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 15
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 16
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 16
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 16
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 17
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 17
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 17
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 17
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 17
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 11
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 11
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 26
[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] => 20
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 20
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 21
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 21
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 21
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 14
[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] => 15
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 15
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 26
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 19
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 20
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 20
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 13
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 26
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 19
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 26
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 26
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 19
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 20
[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] => 20
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 13
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 21
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 14
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 21
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 21
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 14
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 21
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 21
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 21
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 14
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 15
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 15
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 15
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 15
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 22
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 15
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 16
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 9
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 22
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 15
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 22
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 22
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 16
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 16
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 22
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 22
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 22
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 22
[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] => 22
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 15
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 16
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 16
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 16
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 16
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 9
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 17
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 17
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 17
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 17
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 17
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 17
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 17
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 17
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 17
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 17
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 17
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 18
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 17
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 17
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 16
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 23
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 16
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 17
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 17
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 17
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 18
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 18
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 18
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 18
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 18
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 18
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 12
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 12
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 23
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 16
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 17
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 23
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 16
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 23
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 23
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 16
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 17
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 17
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 23
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 23
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 23
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 23
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 23
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 23
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 17
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 17
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 17
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 17
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 10
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 18
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 18
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 18
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 18
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 18
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 18
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 18
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 18
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 18
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 18
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 12
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 5
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 13
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[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] => 12
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 19
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 19
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 13
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 19
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 19
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 19
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 19
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 19
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 19
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 12
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 13
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 19
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 12
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 19
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 19
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 12
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 19
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 19
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 19
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 12
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 19
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 19
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 19
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 19
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 12
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 13
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 13
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 14
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 14
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 7
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 14
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 8
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 8
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 8
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 21
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 22
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 22
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 15
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 16
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 17
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 23
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 16
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 23
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 23
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 16
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 17
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 17
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 17
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 18
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 18
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 18
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 18
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 18
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 12
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 12
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 18
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[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] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 12
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 13
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 13
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 24
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 17
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 18
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 18
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 11
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 24
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 17
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 24
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 24
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 17
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 18
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 18
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 18
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 11
[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] => 12
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 12
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 19
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 19
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 19
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 12
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 13
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 13
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 13
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 13
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 14
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 20
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 13
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 20
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 20
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 13
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 14
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 14
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 14
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 20
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 13
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 20
[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] => 13
[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] => 20
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 20
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 13
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 14
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 14
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 14
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 14
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 15
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 15
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 15
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 15
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 15
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 15
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 15
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 15
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 15
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 27
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 21
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 22
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 22
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 15
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 16
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 9
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Description
The major index north count of a Dyck path.
The descent set $\operatorname{des}(D)$ of a Dyck path $D = D_1 \cdots D_{2n}$ with $D_i \in \{N,E\}$ is given by all indices $i$ such that $D_i = E$ and $D_{i+1} = N$. This is, the positions of the valleys of $D$.
The major index of a Dyck path is then the sum of the positions of the valleys, $\sum_{i \in \operatorname{des}(D)} i$, see St000027The major index of a Dyck path..
The major index north count is given by $\sum_{i \in \operatorname{des}(D)} \#\{ j \leq i \mid D_j = N\}$.
References
[1] Stump, C. On bijections between $231$-avoiding permutations and Dyck paths MathSciNet:2734176
Code
def statistic(D):
    vals = D.valleys()
    return sum(1 for d in vals for i in range(d+1) if D[i] == 1)

Created
Apr 25, 2018 at 11:56 by Christian Stump
Updated
Apr 25, 2018 at 11:56 by Christian Stump