Processing math: 100%

Identifier
Values
[1,0] => [1] => [1] => 1
[1,0,1,0] => [1,1] => [1,1] => 2
[1,1,0,0] => [2] => [2] => 4
[1,0,1,0,1,0] => [1,1,1] => [1,1,1] => 3
[1,0,1,1,0,0] => [1,2] => [2,1] => 5
[1,1,0,0,1,0] => [2,1] => [2,1] => 5
[1,1,0,1,0,0] => [2,1] => [2,1] => 5
[1,1,1,0,0,0] => [3] => [3] => 9
[1,0,1,0,1,0,1,0] => [1,1,1,1] => [1,1,1,1] => 4
[1,0,1,0,1,1,0,0] => [1,1,2] => [2,1,1] => 6
[1,0,1,1,0,0,1,0] => [1,2,1] => [2,1,1] => 6
[1,0,1,1,0,1,0,0] => [1,2,1] => [2,1,1] => 6
[1,0,1,1,1,0,0,0] => [1,3] => [3,1] => 10
[1,1,0,0,1,0,1,0] => [2,1,1] => [2,1,1] => 6
[1,1,0,0,1,1,0,0] => [2,2] => [2,2] => 8
[1,1,0,1,0,0,1,0] => [2,1,1] => [2,1,1] => 6
[1,1,0,1,0,1,0,0] => [2,1,1] => [2,1,1] => 6
[1,1,0,1,1,0,0,0] => [2,2] => [2,2] => 8
[1,1,1,0,0,0,1,0] => [3,1] => [3,1] => 10
[1,1,1,0,0,1,0,0] => [3,1] => [3,1] => 10
[1,1,1,0,1,0,0,0] => [3,1] => [3,1] => 10
[1,1,1,1,0,0,0,0] => [4] => [4] => 16
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1] => [1,1,1,1,1] => 5
[1,0,1,0,1,0,1,1,0,0] => [1,1,1,2] => [2,1,1,1] => 7
[1,0,1,0,1,1,0,0,1,0] => [1,1,2,1] => [2,1,1,1] => 7
[1,0,1,0,1,1,0,1,0,0] => [1,1,2,1] => [2,1,1,1] => 7
[1,0,1,0,1,1,1,0,0,0] => [1,1,3] => [3,1,1] => 11
[1,0,1,1,0,0,1,0,1,0] => [1,2,1,1] => [2,1,1,1] => 7
[1,0,1,1,0,0,1,1,0,0] => [1,2,2] => [2,2,1] => 9
[1,0,1,1,0,1,0,0,1,0] => [1,2,1,1] => [2,1,1,1] => 7
[1,0,1,1,0,1,0,1,0,0] => [1,2,1,1] => [2,1,1,1] => 7
[1,0,1,1,0,1,1,0,0,0] => [1,2,2] => [2,2,1] => 9
[1,0,1,1,1,0,0,0,1,0] => [1,3,1] => [3,1,1] => 11
[1,0,1,1,1,0,0,1,0,0] => [1,3,1] => [3,1,1] => 11
[1,0,1,1,1,0,1,0,0,0] => [1,3,1] => [3,1,1] => 11
[1,0,1,1,1,1,0,0,0,0] => [1,4] => [4,1] => 17
[1,1,0,0,1,0,1,0,1,0] => [2,1,1,1] => [2,1,1,1] => 7
[1,1,0,0,1,0,1,1,0,0] => [2,1,2] => [2,2,1] => 9
[1,1,0,0,1,1,0,0,1,0] => [2,2,1] => [2,2,1] => 9
[1,1,0,0,1,1,0,1,0,0] => [2,2,1] => [2,2,1] => 9
[1,1,0,0,1,1,1,0,0,0] => [2,3] => [3,2] => 13
[1,1,0,1,0,0,1,0,1,0] => [2,1,1,1] => [2,1,1,1] => 7
[1,1,0,1,0,0,1,1,0,0] => [2,1,2] => [2,2,1] => 9
[1,1,0,1,0,1,0,0,1,0] => [2,1,1,1] => [2,1,1,1] => 7
[1,1,0,1,0,1,0,1,0,0] => [2,1,1,1] => [2,1,1,1] => 7
[1,1,0,1,0,1,1,0,0,0] => [2,1,2] => [2,2,1] => 9
[1,1,0,1,1,0,0,0,1,0] => [2,2,1] => [2,2,1] => 9
[1,1,0,1,1,0,0,1,0,0] => [2,2,1] => [2,2,1] => 9
[1,1,0,1,1,0,1,0,0,0] => [2,2,1] => [2,2,1] => 9
[1,1,0,1,1,1,0,0,0,0] => [2,3] => [3,2] => 13
[1,1,1,0,0,0,1,0,1,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,0,0,1,1,0,0] => [3,2] => [3,2] => 13
[1,1,1,0,0,1,0,0,1,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,0,1,0,1,0,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,0,1,1,0,0,0] => [3,2] => [3,2] => 13
[1,1,1,0,1,0,0,0,1,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,1,0,0,1,0,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,1,0,1,0,0,0] => [3,1,1] => [3,1,1] => 11
[1,1,1,0,1,1,0,0,0,0] => [3,2] => [3,2] => 13
[1,1,1,1,0,0,0,0,1,0] => [4,1] => [4,1] => 17
[1,1,1,1,0,0,0,1,0,0] => [4,1] => [4,1] => 17
[1,1,1,1,0,0,1,0,0,0] => [4,1] => [4,1] => 17
[1,1,1,1,0,1,0,0,0,0] => [4,1] => [4,1] => 17
[1,1,1,1,1,0,0,0,0,0] => [5] => [5] => 25
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2] => [2,1,1,1,1] => 8
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1] => [2,1,1,1,1] => 8
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1] => [2,1,1,1,1] => 8
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3] => [3,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1] => [2,1,1,1,1] => 8
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2] => [2,2,1,1] => 10
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,1] => [2,1,1,1,1] => 8
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,1] => [2,1,1,1,1] => 8
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,2,2] => [2,2,1,1] => 10
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1] => [3,1,1,1] => 12
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,3,1] => [3,1,1,1] => 12
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,3,1] => [3,1,1,1] => 12
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4] => [4,1,1] => 18
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1] => [2,1,1,1,1] => 8
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2] => [2,2,1,1] => 10
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1] => [2,2,1,1] => 10
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,1] => [2,2,1,1] => 10
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3] => [3,2,1] => 14
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1] => [2,1,1,1,1] => 8
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,1,2] => [2,2,1,1] => 10
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1] => [2,1,1,1,1] => 8
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1] => [2,1,1,1,1] => 8
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,1,2] => [2,2,1,1] => 10
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,1] => [2,2,1,1] => 10
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,1] => [2,2,1,1] => 10
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,1] => [2,2,1,1] => 10
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3] => [3,2,1] => 14
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2] => [3,2,1] => 14
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2] => [3,2,1] => 14
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,3,1,1] => [3,1,1,1] => 12
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,3,2] => [3,2,1] => 14
>>> Load all 5555 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1] => [4,1,1] => 18
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,4,1] => [4,1,1] => 18
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,4,1] => [4,1,1] => 18
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,4,1] => [4,1,1] => 18
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,5] => [5,1] => 26
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 8
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 10
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3] => [3,2,1] => 14
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2] => [2,2,2] => 12
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2] => [2,2,2] => 12
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4] => [4,2] => 20
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 8
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 10
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,3] => [3,2,1] => 14
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 8
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,2] => [2,2,1,1] => 10
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1] => [2,1,1,1,1] => 8
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1] => [2,1,1,1,1] => 8
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,2] => [2,2,1,1] => 10
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1] => [2,2,1,1] => 10
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,3] => [3,2,1] => 14
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2] => [2,2,2] => 12
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2] => [2,2,2] => 12
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,1] => [2,2,1,1] => 10
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2] => [2,2,2] => 12
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,3,1] => [3,2,1] => 14
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,4] => [4,2] => 20
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3] => [3,3] => 18
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,3] => [3,3] => 18
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1] => [3,1,1,1] => 12
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,1,2] => [3,2,1] => 14
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,1] => [3,2,1] => 14
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,3] => [3,3] => 18
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,2] => [4,2] => 20
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,2] => [4,2] => 20
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,2] => [4,2] => 20
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,1,1] => [4,1,1] => 18
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,2] => [4,2] => 20
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1] => [5,1] => 26
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1] => [5,1] => 26
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,1] => [5,1] => 26
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,1] => [5,1] => 26
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,1] => [5,1] => 26
[1,1,1,1,1,1,0,0,0,0,0,0] => [6] => [6] => 36
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,2,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3] => [3,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2] => [2,2,1,1,1] => 11
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,2,2] => [2,2,1,1,1] => 11
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,3,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,3,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4] => [4,1,1,1] => 19
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3] => [3,2,1,1] => 15
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,2,1,2] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,2,2,1] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1] => [2,2,1,1,1] => 11
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,2,3] => [3,2,1,1] => 15
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2] => [3,2,1,1] => 15
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,3,2] => [3,2,1,1] => 15
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,3,1,1] => [3,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,3,2] => [3,2,1,1] => 15
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1] => [4,1,1,1] => 19
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,4,1] => [4,1,1,1] => 19
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,4,1] => [4,1,1,1] => 19
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,4,1] => [4,1,1,1] => 19
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5] => [5,1,1] => 27
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3] => [3,2,1,1] => 15
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2] => [2,2,2,1] => 13
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2] => [2,2,2,1] => 13
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4] => [4,2,1] => 21
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,3] => [3,2,1,1] => 15
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,2] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,2,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,3] => [3,2,1,1] => 15
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2] => [2,2,2,1] => 13
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2] => [2,2,2,1] => 13
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,2,1,1] => [2,2,1,1,1] => 11
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2] => [2,2,2,1] => 13
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,3,1] => [3,2,1,1] => 15
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,2,4] => [4,2,1] => 21
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3] => [3,3,1] => 19
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,3,3] => [3,3,1] => 19
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1] => [3,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,3,1,2] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1] => [3,2,1,1] => 15
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,3,3] => [3,3,1] => 19
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2] => [4,2,1] => 21
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,4,2] => [4,2,1] => 21
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,4,2] => [4,2,1] => 21
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,4,1,1] => [4,1,1,1] => 19
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,4,2] => [4,2,1] => 21
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1] => [5,1,1] => 27
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,5,1] => [5,1,1] => 27
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,5,1] => [5,1,1] => 27
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,5,1] => [5,1,1] => 27
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,5,1] => [5,1,1] => 27
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6] => [6,1] => 37
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 15
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4] => [4,2,1] => 21
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3] => [3,2,2] => 17
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,2,3] => [3,2,2] => 17
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5] => [5,2] => 29
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 15
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4] => [4,2,1] => 21
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,3] => [3,2,1,1] => 15
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1] => [2,1,1,1,1,1] => 9
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,2] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,2,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,3] => [3,2,1,1] => 15
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,2,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2] => [2,2,2,1] => 13
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,3,1] => [3,2,1,1] => 15
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,4] => [4,2,1] => 21
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3] => [3,2,2] => 17
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,3] => [3,2,2] => 17
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1] => [2,2,1,1,1] => 11
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1,2] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,2,1] => [2,2,2,1] => 13
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,3] => [3,2,2] => 17
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,1,1] => [3,2,1,1] => 15
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,3,2] => [3,2,2] => 17
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,4,1] => [4,2,1] => 21
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,5] => [5,2] => 29
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4] => [4,3] => 25
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,4] => [4,3] => 25
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1] => [3,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,2] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,2,1] => [3,2,1,1] => 15
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,3] => [3,3,1] => 19
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => [3,2,1,1] => 15
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2] => [3,2,2] => 17
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [3,3,1] => [3,3,1] => 19
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,4] => [4,3] => 25
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3] => [4,3] => 25
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3] => [4,3] => 25
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [4,3] => [4,3] => 25
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1] => [4,1,1,1] => 19
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [4,1,2] => [4,2,1] => 21
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,1] => [4,2,1] => 21
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3] => [4,3] => 25
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2] => [5,2] => 29
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [5,2] => [5,2] => 29
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [5,2] => [5,2] => 29
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [5,2] => [5,2] => 29
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [5,1,1] => [5,1,1] => 27
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [5,2] => [5,2] => 29
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [6,1] => [6,1] => 37
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7] => [7] => 49
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,2,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,2,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,3,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4] => [4,1,1,1,1] => 20
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3] => [3,2,1,1,1] => 16
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,2,3] => [3,2,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,3,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,4,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5] => [5,1,1,1] => 28
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 14
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 14
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4] => [4,2,1,1] => 22
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,3] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 14
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 14
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,2,2,2] => [2,2,2,1,1] => 14
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,3,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,2,4] => [4,2,1,1] => 22
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3] => [3,3,1,1] => 20
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,3,3] => [3,3,1,1] => 20
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,2] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,3,2,1] => [3,2,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,3,3] => [3,3,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2] => [4,2,1,1] => 22
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,4,2] => [4,2,1,1] => 22
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,4,2] => [4,2,1,1] => 22
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,4,1,1] => [4,1,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,4,2] => [4,2,1,1] => 22
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1] => [5,1,1,1] => 28
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,5,1] => [5,1,1,1] => 28
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,5,1] => [5,1,1,1] => 28
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,5,1] => [5,1,1,1] => 28
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,5,1] => [5,1,1,1] => 28
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6] => [6,1,1] => 38
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 22
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3] => [3,2,2,1] => 18
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 18
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5] => [5,2,1] => 30
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 22
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,3] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,1,2,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,3,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,2,1,4] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,2,2,3] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,2] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,2,2,2,1] => [2,2,2,1,1] => 14
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,2,2,3] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,2,3,2] => [3,2,2,1] => 18
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,4,1] => [4,2,1,1] => 22
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,5] => [5,2,1] => 30
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4] => [4,3,1] => 26
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,3,4] => [4,3,1] => 26
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,2] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,3,1,3] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1] => [3,2,1,1,1] => 16
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,3,2,2] => [3,2,2,1] => 18
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,3,3,1] => [3,3,1,1] => 20
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,4] => [4,3,1] => 26
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3] => [4,3,1] => 26
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,4,3] => [4,3,1] => 26
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,4,3] => [4,3,1] => 26
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1] => [4,1,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,2] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,4,2,1] => [4,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,4,3] => [4,3,1] => 26
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2] => [5,2,1] => 30
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,5,2] => [5,2,1] => 30
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,5,2] => [5,2,1] => 30
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,5,2] => [5,2,1] => 30
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1] => [5,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,5,2] => [5,2,1] => 30
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,6,1] => [6,1,1] => 38
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7] => [7,1] => 50
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 22
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [5,2,1] => 30
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [4,2,2] => 24
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [4,2,2] => 24
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6] => [6,2] => 40
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 22
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5] => [5,2,1] => 30
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 22
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 10
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,2] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,2,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,3] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,1,2,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,3,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,4] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,2,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,2,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,2,3] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,3,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,1,3,2] => [3,2,2,1] => 18
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,4,1] => [4,2,1,1] => 22
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,5] => [5,2,1] => 30
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,2,4] => [4,2,2] => 24
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,4] => [4,2,2] => 24
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1] => [2,2,1,1,1,1] => 12
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,2] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,1,3] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,2,2,1,1] => [2,2,2,1,1] => 14
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2] => [2,2,2,2] => 16
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,2,3,1] => [3,2,2,1] => 18
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,4] => [4,2,2] => 24
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1] => [3,2,1,1,1] => 16
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,3,1,2] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,3,2,1] => [3,2,2,1] => 18
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,3,3] => [3,3,2] => 22
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,4,1,1] => [4,2,1,1] => 22
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,4,2] => [4,2,2] => 24
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,5,1] => [5,2,1] => 30
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,6] => [6,2] => 40
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5] => [5,3] => 34
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,5] => [5,3] => 34
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1] => [3,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,2] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,2,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,3] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,2,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,2,2] => [3,2,2,1] => 18
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,3,1] => [3,3,1,1] => 20
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,4] => [4,3,1] => 26
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => [3,2,1,1,1] => 16
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,2] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => [3,2,2,1] => 18
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,2,3] => [3,3,2] => 22
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,3,1,1] => [3,3,1,1] => 20
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2] => [3,3,2] => 22
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [3,4,1] => [4,3,1] => 26
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,5] => [5,3] => 34
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4] => [4,4] => 32
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,4] => [4,4] => 32
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,4] => [4,4] => 32
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,2] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,2,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,3] => [4,3,1] => 26
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1] => [4,2,1,1] => 22
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [4,2,2] => [4,2,2] => 24
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,3,1] => [4,3,1] => 26
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,4] => [4,4] => 32
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3] => [5,3] => 34
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [5,3] => [5,3] => 34
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [5,3] => [5,3] => 34
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [5,3] => [5,3] => 34
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1] => [5,1,1,1] => 28
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,2] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [5,2,1] => [5,2,1] => 30
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [5,3] => [5,3] => 34
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1] => [6,1,1] => 38
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [6,2] => [6,2] => 40
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [7,1] => [7,1] => 50
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8] => [8] => 64
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1] => [8,1] => 65
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,8] => [8,1] => 65
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,9] => [9,1] => 82
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,1] => [10,1] => 101
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 41
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,6,2] => [6,2,1] => 41
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,10] => [10,1] => 101
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1] => [11,1] => 122
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [5,3,1] => [5,3,1] => 35
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,3] => [5,3,1] => 35
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,7,2] => [7,2,1] => 54
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,9,1] => [9,1,1] => 83
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [4,4,1] => [4,4,1] => 33
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,6,2] => [6,2,1] => 41
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,5,2,1] => [5,2,1,1] => 31
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,7,1,1] => [7,1,1,1] => 52
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,9,1] => [9,1,1] => 83
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,4,4] => [4,4,1] => 33
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,6,3] => [6,3,1] => 46
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,8,2] => [8,2,1] => 69
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,10,1] => [10,1,1] => 102
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [6,2,1,1] => [6,2,1,1] => 42
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,5,1] => [5,3,1] => 35
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,5,2,1] => [5,2,1,1] => 31
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,7,1,1] => [7,1,1,1] => 52
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,9,1] => [9,1,1] => 83
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,5,1,2] => [5,2,1,1] => 31
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,7,2] => [7,2,1] => 54
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,4,3,1] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,6,2,1] => [6,2,1,1] => 42
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,8,1,1] => [8,1,1,1] => 67
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,5] => [5,3,1] => 35
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,5,4] => [5,4,1] => 42
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,7,3] => [7,3,1] => 59
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,1,2,1] => [6,2,1,1] => 42
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [4,5,1] => [5,4,1] => 42
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,6,1] => [6,2,1] => 41
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,2] => [7,2] => 53
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,7,1] => [7,1,1] => 51
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,6,2] => [6,2,1] => 41
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,7,1,1] => [7,1,1,1] => 52
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,6,2,1] => [6,2,1,1] => 42
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,4,2,2] => [4,2,2,1] => 25
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,6,1,2] => [6,2,1,1] => 42
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,3,4,1] => [4,3,1,1] => 27
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,7] => [7,2] => 53
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,6] => [6,2,1] => 41
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,4,5] => [5,4,1] => 42
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,6,4] => [6,4,1] => 53
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,7,1] => [7,1,1] => 51
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 41
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,8,1] => [8,1,1] => 66
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,4,3,1] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,5,1,2] => [5,2,1,1] => 31
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,7,2] => [7,2,1] => 54
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,5,2,1] => [5,2,1,1] => 31
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,4,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,6,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,4,1,3] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,5,2,2] => [5,2,2,1] => 34
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,7] => [7,1,1] => 51
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,3,6] => [6,3,1] => 46
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,5,5] => [5,5,1] => 51
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,7,1] => [7,2,1] => 54
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [2,4,2,1] => [4,2,2,1] => 25
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,8,1] => [8,1,1] => 66
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [5,2,2] => [5,2,2] => 33
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,5,3,1] => [5,3,1,1] => 36
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,4,2,2] => [4,2,2,1] => 25
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 21
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,5,1,3] => [5,3,1,1] => 36
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 39
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,8] => [8,2] => 68
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,2,7] => [7,2,1] => 54
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,4,6] => [6,4,1] => 53
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,8,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,5,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [4,3,2] => [4,3,2] => 29
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,4,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,3,4,1] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,4,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,5,3] => [5,3,1] => 35
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,1,2] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 39
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,3,1,4] => [4,3,1,1] => 27
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,5,2] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 54
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,2,6,1] => [6,2,1,1] => 42
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,8] => [8,1,1] => 66
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,3,7] => [7,3,1] => 59
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,1,1,2,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,1,2,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,1,2,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,1,2,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,1,2,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,1,2,4] => [4,2,2,1] => 25
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [2,1,2,1,3] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [2,1,2,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,1,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,1,2,4] => [4,2,2,1] => 25
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [2,1,4,2] => [4,2,2,1] => 25
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,4,2] => [4,2,2,1] => 25
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 41
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [2,2,1,3,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2,3] => [3,2,2,2] => 21
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [2,2,3,2] => [3,2,2,2] => 21
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,5] => [5,2,2] => 33
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 25
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,1,1,3] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [2,2,1,3,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 25
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,5] => [5,2,2] => 33
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [2,3,1,2,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [2,3,3,1] => [3,3,2,1] => 23
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,3,1,2,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [2,3,1,3] => [3,3,2,1] => 23
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [2,4,1,2] => [4,2,2,1] => 25
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,4,2,1] => [4,2,2,1] => 25
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,7] => [7,2] => 53
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,1,3,2] => [3,3,2,1] => 23
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [3,2,1,3] => [3,3,2,1] => 23
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [3,2,4] => [4,3,2] => 29
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,6] => [6,3] => 45
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 27
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 27
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 19
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 27
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [3,2,3,1] => [3,3,2,1] => 23
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [3,2,4] => [4,3,2] => 29
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [3,3,1,2] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [3,3,2,1] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [3,3,1,2] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [3,3,1,2] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [3,3,2,1] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [3,3,2,1] => [3,3,2,1] => 23
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,6] => [6,3] => 45
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,5] => [5,4] => 41
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [4,5] => [5,4] => 41
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [4,2,1,2] => [4,2,2,1] => 25
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [4,2,1,2] => [4,2,2,1] => 25
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,5] => [5,4] => 41
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,4] => [5,4] => 41
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [5,4] => [5,4] => 41
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [5,4] => [5,4] => 41
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,3] => [6,3] => 45
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [6,3] => [6,3] => 45
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [6,3] => [6,3] => 45
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [6,3] => [6,3] => 45
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,3] => [6,3] => 45
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1] => [7,1,1] => 51
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [7,2] => [7,2] => 53
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [8,1] => [8,1] => 65
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9] => [9] => 81
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,4] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,4,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,3] => [3,1,1,1,1,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,4] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,3,2,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,4,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,3,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,3,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,5] => [5,1,1,1,1] => 29
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,4,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,3,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,3,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,3,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,5] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,5,1] => [5,1,1,1,1] => 29
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 21
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,3,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,5,1] => [5,1,1,1,1] => 29
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,6] => [6,1,1,1] => 39
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [3,1,1,2,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 21
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,3,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,5,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,3,3,1] => [3,3,1,1,1] => 21
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,6] => [6,1,1,1,1] => 40
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,3,3,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,6,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,5,1] => [5,1,1,1,1,1,1] => 31
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,3,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [3,1,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,3,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,2,4] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,3,3] => [3,3,1,1,1] => 21
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,5,1] => [5,1,1,1,1] => 29
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,2,4,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,2,5] => [5,2,1,1] => 31
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,4,3] => [4,3,1,1] => 27
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,5,2] => [5,2,1,1] => 31
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,6,1] => [6,1,1,1] => 39
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,1,5] => [5,2,1,1] => 31
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,6] => [6,2,1] => 41
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1] => [3,2,2,1,1] => 19
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3] => [4,3,1,1] => 27
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,4,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4] => [4,4,1] => 33
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,5,3] => [5,3,1] => 35
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,6,1,1] => [6,1,1,1] => 39
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,6,2] => [6,2,1] => 41
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 23
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 31
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 41
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 15
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,2,3] => [3,2,2,2] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,2,3,2] => [3,2,2,2] => 21
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,5] => [5,2,2] => 33
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 23
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,5,2] => [5,2,2] => 33
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,6,1] => [6,2,1] => 41
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,2,1,2] => [3,2,2,1,1] => 19
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6] => [6,3] => 45
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2] => [4,3,2] => 29
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5] => [5,4] => 41
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4] => [5,4] => 41
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [6,3] => [6,3] => 45
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,2,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,4,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,5,1] => [5,1,1,1,1,1] => 30
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,2,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,6,1] => [6,1,1,1,1] => 40
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,7] => [7,1,1,1] => 52
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2,2] => [2,2,2,2,1,1] => 18
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,4,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,4,4] => [4,4,1,1] => 34
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,5,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,6,2] => [6,2,1,1] => 42
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,7,1] => [7,1,1,1] => 52
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,1,3] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,2,3] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,7] => [7,2,1] => 54
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2] => [3,2,2,2,1] => 22
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,5,4] => [5,4,1] => 42
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,6,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1] => [7,1,1,1] => 52
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,7,2] => [7,2,1] => 54
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,1,3] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,1,3,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,1,4] => [4,2,1,1,1,1] => 24
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,1,5] => [5,2,1,1,1] => 32
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 26
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1] => [6,2,1,1] => 42
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,7] => [7,2,1] => 54
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2] => [2,2,2,2,1,1] => 18
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,2,3,1] => [3,2,2,2,1] => 22
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3,3] => [3,3,2,2] => 26
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,4,3,1] => [4,3,2,1] => 30
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,4,4] => [4,4,2] => 36
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,6,2] => [6,2,2] => 44
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,7,1] => [7,2,1] => 54
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,5,1] => [5,3,1,1] => 36
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,2,3] => [3,3,2,2] => 26
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,3,2,2] => [3,3,2,2] => 26
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,4] => [4,3,3] => 34
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,4,3] => [4,3,3] => 34
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,7] => [7,3] => 58
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,1,4] => [4,4,1,1] => 34
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1] => [4,4,1,1] => 34
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 28
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,2,4] => [4,4,2] => 36
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [4,3,3] => [4,3,3] => 34
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1] => [4,4,1,1] => 34
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,4,2] => [4,4,2] => 36
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [4,5,1] => [5,4,1] => 42
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,6] => [6,4] => 52
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [5,1,3,1] => [5,3,1,1] => 36
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,1,4] => [5,4,1] => 42
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1] => [5,2,2,1] => 34
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,5] => [5,5] => 50
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [6,1,1,2] => [6,2,1,1] => 42
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1] => [6,2,1,1] => 42
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [6,1,3] => [6,3,1] => 46
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4] => [6,4] => 52
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10] => [10] => 100
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [5,1,1,1,1,2] => [5,2,1,1,1,1] => 33
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[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] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [9,2] => [9,2] => 85
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,8] => [8,2] => 68
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [6,4] => [6,4] => 52
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [5,5] => [5,5] => 50
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [4,6] => [6,4] => 52
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [3,7] => [7,3] => 58
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6] => [6,2,1] => 41
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,1,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,1,1,1,1,1,3] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1,3,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,1,1,1,3,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,1,1,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,1,3,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,5] => [5,2,2] => 33
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [3,4,2] => [4,3,2] => 29
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,4,1] => [4,4,1] => 33
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,2,1] => [6,2,1] => 41
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [9,1] => [9,1] => 82
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [9,1] => [9,1] => 82
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [6,1,2] => [6,2,1] => 41
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,6,1] => [6,2,1] => 41
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,5,1] => [5,3,1] => 35
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,8,1] => [8,2,1] => 69
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,2,1,2,2] => [2,2,2,2,1] => 17
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 17
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [2,3,1,2,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,2,1,3,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,3,1,2] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,7] => [7,2,1] => 54
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,1,6] => [6,2,1,1] => 42
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,1,1,1,5] => [5,2,1,1,1] => 32
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,1,1,1,1,4] => [4,2,1,1,1,1] => 24
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,1,1,1,1,3,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,1,1,1,3,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,1,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [2,1,3,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [6,4] => [6,4] => 52
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [6,4] => [6,4] => 52
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,1,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,1,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,2,1,3,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,1,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,3,1,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [3,2,1,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,4,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [2,1,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,1,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [2,1,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [2,1,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [2,1,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [2,1,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [2,1,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [2,1,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,1,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,1,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,1,4,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,1,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,1,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,2,1,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,2,1,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,2,1,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,1,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,1,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,1,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,1,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,2,2,1,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,3,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,3,1,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,1,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,2,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,1,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [4,1,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,1,1,1,3,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [2,2,2,2,1,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [2,2,3,1,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,3,1,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [2,3,2,1,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,4,1,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,1,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,1,3,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,2,1,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [3,2,2,1,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [3,3,1,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,2,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,2,1,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,1,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [2,2,2,3,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [2,2,3,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [2,2,4,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [2,3,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [2,3,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [2,4,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [2,3,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [2,3,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [2,4,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,1,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [3,1,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,1,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [3,2,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [4,2,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [3,2,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [3,3,1,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [3,4,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,1,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [4,1,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11] => [11] => 121
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,9] => [9,2] => 85
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 54
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [2,9] => [9,2] => 85
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [11,1] => [11,1] => 122
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 54
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,6,2] => [6,2,2] => 44
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,2,5] => [5,2,1,1] => 31
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,2,4] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,2,3] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [9,2] => [9,2] => 85
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,5,1,1] => [5,3,1,1] => 36
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,7,1] => [7,1,1,1] => 52
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,6,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [4,5,1] => [5,4,1] => 42
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,5] => [5,3,1] => 35
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,1,2] => [5,2,1,1] => 31
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [2,1,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,4,1,1,2] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,4,1,2] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,4,2] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,3,1] => [3,1,1,1,1,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,1,1,3,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 21
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [2,1,3,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,1,1,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [2,8,1] => [8,2,1] => 69
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,5,2] => [5,2,1,1] => 31
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,4,2] => [4,2,2,1] => 25
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,9,1] => [9,1,1] => 83
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,5,1,1] => [5,3,1,1] => 36
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,2,1,3] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,2] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [4,1,1,1,3] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [4,1,1,4] => [4,4,1,1] => 34
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [3,1,1,1,3] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,1,5] => [5,3,1,1] => 36
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,1,1,4] => [4,3,1,1] => 27
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,1,6] => [6,3,1] => 46
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 31
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [5,5] => [5,5] => 50
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [4,6] => [6,4] => 52
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [3,7] => [7,3] => 58
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,1,4] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,2,4,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,2,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 54
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [4,5,1] => [5,4,1] => 42
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [6,3,1] => [6,3,1] => 46
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [4,2,1,2] => [4,2,2,1] => 25
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,1,5] => [5,4,1] => 42
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,1,4,1] => [4,2,1,1,1] => 23
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2,2] => [2,2,2,2,2,1] => 21
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 19
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 22
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,2,2,1] => [2,2,2,2,2,1] => 21
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,2,1,1,1,1] => [5,2,1,1,1,1] => 33
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [4,3,2] => 29
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,5,1] => [5,3,1] => 35
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,2,3,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,2,4,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 17
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,2,1,5] => [5,2,1,1] => 31
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,1,3,2] => [3,2,2,1,1] => 19
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,4,1,4] => [4,4,1,1] => 34
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,3,1,5] => [5,3,1,1] => 36
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,1,6] => [6,2,1,1] => 42
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,1,4] => [5,4,1] => 42
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,3,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,2,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,4,3] => [4,3,1,1] => 27
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,4,2] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,5,3] => [5,3,1] => 35
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [5,3,1] => [5,3,1] => 35
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 12
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1,1] => 17
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,9,1] => [9,1,1] => 83
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,3] => [4,3,3] => 34
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,2] => [4,2,2,1] => 25
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,6,2] => [6,2,1] => 41
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,2,1,1,1,3] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,2,1,3] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,2,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 22
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,2,1,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,2,3,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [2,1,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5] => [5,2,1,1] => 31
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [7,3] => [7,3] => 58
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [6,2,1] => [6,2,1] => 41
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,6,3] => [6,3,1] => 46
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,7,2] => [7,2,1] => 54
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,3,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,4,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [6,4] => [6,4] => 52
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [5,2,1,1] => [5,2,1,1] => 31
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [5,3,1] => [5,3,1] => 35
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,5,1] => [5,3,1] => 35
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [4,6] => [6,4] => 52
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,3,4] => [4,3,2] => 29
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 23
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,3,2,1] => [3,3,2,1] => 23
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,4,2] => [4,4,2] => 36
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,3,2] => [5,3,2] => 38
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,5,2] => [5,3,2] => 38
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,3,2,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,3,1] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,3,2,1] => [3,2,2,2,1] => 22
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,3,2,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,2,1] => [3,2,2,2,1] => 22
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,2,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,4,1] => [4,1,1,1,1,1] => 21
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,4,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [4,1,1,3] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [6,1,2,1] => [6,2,1,1] => 42
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,2,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [2,1,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,2,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [2,2,4,1,1,1] => [4,2,2,1,1,1] => 27
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 11
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [2,2,1,2,2] => [2,2,2,2,1] => 17
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,3,1,2] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,5,1] => [5,2,1,1] => 31
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [3,2,4] => [4,3,2] => 29
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,5,1,1,1,1,1] => [5,1,1,1,1,1,1] => 31
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,2,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,4,2] => [4,2,2,1] => 25
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,3,3,2] => [3,3,2,1] => 23
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,1,1,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,5,1,2] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,5,1,1] => [5,1,1,1,1] => 29
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [2,4,1,2] => [4,2,2,1] => 25
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,6,1,2] => [6,2,1,1] => 42
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [3,1,1,1,1,1,1,2] => [3,2,1,1,1,1,1,1] => 19
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,1,1,1,1,3] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,1,1,1,3,1] => [3,3,1,1,1,1] => 22
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,3,3,1] => [3,3,1,1,1] => 21
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,1,3,2] => [3,2,2,1,1] => 19
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,3,2,2] => [3,2,2,1,1] => 19
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,2,2,2] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,2,3,2,2] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,2,3,2] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,2,3,1,2] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,3,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,2,2,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,3,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,2,2,2,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,4,1,2] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,2,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,4,1,2] => [4,2,1,1,1] => 23
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,3,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [2,7,1] => [7,2,1] => 54
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,3,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,2,1,3] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,4,1,2] => [4,2,2,1] => 25
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,3,1,3] => [3,3,2,1] => 23
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 25
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,3,1,3] => [3,3,1,1,1] => 21
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,5,1,2] => [5,2,1,1] => 31
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,4,1,3] => [4,3,1,1] => 27
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,1,4] => [4,3,1,1] => 27
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,1,2,2] => [4,2,2,1,1] => 26
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,2,2] => [3,2,2,2,1] => 22
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,4,1,1,2] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,3,1,1,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,2,1,1,2] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,1,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,3,1,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,1,2,1,2] => [4,2,2,1,1] => 26
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,3,2,1,2] => [3,2,2,2,1] => 22
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,4,1,1] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,3,3,1,1] => [3,3,2,1,1] => 24
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,3,1,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,2,2,1,1] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,4,2,1,1] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,3,2,1,1] => [3,3,2,1,1] => 24
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,4,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,3,1] => [3,3,2,1,1] => 24
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,1,3,1] => [3,3,2,1,1] => 24
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,4,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [3,3,1,2,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,2,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [3,1,3,2,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,1,2,2,1] => [4,2,2,1,1] => 26
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2,2] => [3,2,2,2,2,1] => 26
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,3,1,1,1,2] => [4,3,2,1,1,1] => 32
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [3,3,2,1,1,2] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2,3,1,2] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,2,1,2,1,2] => [4,2,2,2,1,1] => 30
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,3,2,1,2] => [3,2,2,2,2,1] => 26
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,2,2,1,2] => [3,2,2,2,2,1] => 26
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,1,2,4,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [4,1,1,4,1,1] => [4,4,1,1,1,1] => 36
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 32
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,2,3,3,1,1] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,2,3,1,1] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,3,1,2,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [4,4,1,1,1,1] => [4,4,1,1,1,1] => 36
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,2,3,1] => [3,2,2,2,2,1] => 26
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,3,2,1] => [3,2,2,2,2,1] => 26
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,3,2,2,1] => [3,2,2,2,2,1] => 26
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,3,2,2,2,1] => [3,2,2,2,2,1] => 26
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,2,2,2,1] => [3,2,2,2,2,1] => 26
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,1,1,1,3,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,1,1,3,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,1,4,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,1,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,1,3,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [3,1,1,1,2,2] => [3,2,2,1,1,1] => 20
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,2,1,2,2] => [2,2,2,2,1] => 17
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,1,2,2] => [4,2,2,1,1] => 26
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,2,2,2] => [4,2,2,2] => 28
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,2] => [10,2] => 104
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [6,2,2] => [6,2,2] => 44
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,4,1] => [4,4,1] => 33
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,9] => [9,1,1] => 83
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [11,1] => [11,1] => 122
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [2,8,1] => [8,2,1] => 69
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [11,1] => [11,1] => 122
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,2,1] => [2,2,2,2,2,1] => 21
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 28
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,2,1] => [4,2,2,1] => 25
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,2,1] => [2,2,2,2,2,1] => 21
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,3,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [2,6,2] => [6,2,2] => 44
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [5,1,1,1,1,2] => [5,2,1,1,1,1] => 33
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2,2] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1] => [5,2,1,1] => 31
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,8,1] => [8,2,1] => 69
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1] => [6,2,1,1] => 42
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,7,1] => [7,3,1] => 59
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1] => [4,3,1,1] => 27
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,5,1] => [5,3,1,1] => 36
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,1,3,1] => [4,3,1,1] => 27
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,1,4,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1] => [4,4,1,1] => 34
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,1,3,1] => [3,3,1,1,1] => 21
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,1,3,1] => [5,3,1,1] => 36
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,4,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,1,2,1] => [6,2,1,1] => 42
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [2,5,1,1,1,1] => [5,2,1,1,1,1] => 33
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,4,1,2,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,2,1,3,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,2,1,1,3] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,1,3,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,2,1,4,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,2,1,2,1,3] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,4,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,4,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,3,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,2,1,4,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [2,3,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [2,1,3,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [2,1,2,1,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,2,1,1,1,2,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [6,2,1,1] => [6,2,1,1] => 42
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [6,1,1,2] => [6,2,1,1] => 42
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1] => 15
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,1,2] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,2,2,1,1,1] => [2,2,2,1,1,1] => 15
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [4,3,1,1] => [4,3,1,1] => 27
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,6,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,6,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,7,1,1] => [7,1,1,1] => 52
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,6,2] => [6,2,1,1] => 42
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,8,1] => [8,1,1,1] => 67
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [2,4,3] => [4,3,2] => 29
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,6] => [6,3,1] => 46
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [4,1,5] => [5,4,1] => 42
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [5,1,4] => [5,4,1] => 42
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [6,1,3] => [6,3,1] => 46
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [9,2] => [9,2] => 85
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [6,2,2] => [6,2,2] => 44
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [6,2,1,1] => [6,2,1,1] => 42
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [9,2] => [9,2] => 85
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 22
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [3,4,2,1] => [4,3,2,1] => 30
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,3,2,2] => [3,2,2,2] => 21
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,2,3,2] => [3,2,2,2] => 21
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,2,3,1,2] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,1,3,2] => [3,3,2,1] => 23
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [3,1,2,1,1,2] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,1,1,2,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,2,3,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [6,1,1,1,1,1] => [6,1,1,1,1,1] => 41
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,4,2,2] => [4,2,2,1] => 25
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,3,2,2,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,4,1,1,1,1,2] => [4,2,1,1,1,1,1] => 25
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,2,2,1,1,2] => [2,2,2,1,1,1] => 15
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,5,1,1,1,1,1] => [5,1,1,1,1,1,1] => 31
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,4,2,1] => [4,2,2,1] => 25
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,3,1,2] => [3,3,2,1] => 23
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,3,2,1,2] => [3,2,2,1,1] => 19
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [3,2,2,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [2,3,2,2,1] => [3,2,2,2,1] => 22
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [2,2,3,2,1] => [3,2,2,2,1] => 22
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,1,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,3,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,5,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [2,3,1,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,4,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [2,2,2,3,1] => [3,2,2,2,1] => 22
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,1,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,1,4,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,4,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,3,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,4,2,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,2,4,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [2,2,2,2,1,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,3,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,4,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,2,4,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [4,1,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [2,1,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [4,3,1,2,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,4,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [3,4,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [5,1,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [5,1,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,2,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,2,1,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,1,1,4,1,1] => [4,4,1,1,1,1] => 36
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,3,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,2,2,4,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [3,1,2,4,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [3,1,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [2,2,1,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [4,1,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [3,1,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [2,1,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [3,3,1,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,5,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,1,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,2,1,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [3,2,2,3,1,1] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [2,2,3,3,1,1] => [3,3,2,2,1,1] => 28
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [2,1,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [2,3,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,4,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,1,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [2,1,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,1,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,1,1,1,3] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [3,1,1,1,4] => [4,3,1,1,1] => 28
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,4,1,1,1] => [4,3,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,1,3,1,2] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 25
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [2,3,3,1,1] => [3,3,2,1,1] => 24
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [2,3,2,2,1] => [3,2,2,2,1] => 22
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [2,3,4,1] => [4,3,2,1] => 30
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [2,3,2,1,2] => [3,2,2,2,1] => 22
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [2,3,3,2] => [3,3,2,2] => 26
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [2,2,2,1,3] => [3,2,2,2,1] => 22
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [2,4,2,1,1] => [4,2,2,1,1] => 26
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [2,5,1,2] => [5,2,2,1] => 34
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [2,4,2,1,1] => [4,2,2,1,1] => 26
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [2,2,4,2] => [4,2,2,2] => 28
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [2,4,1,2,1] => [4,2,2,1,1] => 26
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [2,2,3,2,1] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [3,1,3,2,1] => [3,3,2,1,1] => 24
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [3,1,3,3] => [3,3,3,1] => 28
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,1,4,2] => [4,3,2,1] => 30
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [4,1,1,2,2] => [4,2,2,1,1] => 26
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [3,2,1,3,1] => [3,3,2,1,1] => 24
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 22
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [4,2,1,1,2] => [4,2,2,1,1] => 26
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [4,3,1,2] => [4,3,2,1] => 30
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [3,2,1,1,1,2] => [3,2,2,1,1,1] => 20
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [5,2,1,2] => [5,2,2,1] => 34
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [3,3,1,1,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [4,2,2,1,1] => [4,2,2,1,1] => 26
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [4,4,1,1] => [4,4,1,1] => 34
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [4,2,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [4,3,2,1] => [4,3,2,1] => 30
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [3,2,1,3,1] => [3,3,2,1,1] => 24
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [6,1,2,1] => [6,2,1,1] => 42
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [3,3,2,1,1] => [3,3,2,1,1] => 24
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [2,3,2,4,1] => [4,3,2,2,1] => 34
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,3,2,2,3] => [3,3,2,2,2] => 30
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [2,3,4,2,1] => [4,3,2,2,1] => 34
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [2,3,5,2] => [5,3,2,2] => 42
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [2,3,3,3,1] => [3,3,3,2,1] => 32
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [2,2,2,1,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [2,2,2,1,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,2,3,1,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [2,2,3,1,1,3] => [3,3,2,2,1,1] => 28
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [2,4,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [2,4,4,2] => [4,4,2,2] => 40
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [2,4,2,3,1] => [4,3,2,2,1] => 34
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [2,2,3,2,1,2] => [3,2,2,2,2,1] => 26
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [2,2,5,2,1] => [5,2,2,2,1] => 38
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [3,1,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [4,3,1,1,1,2] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [4,2,1,2,1,2] => [4,2,2,2,1,1] => 30
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [3,3,2,1,1,2] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [4,3,1,2,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [4,2,2,3,1] => [4,3,2,2,1] => 34
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [4,4,1,1,1,1] => [4,4,1,1,1,1] => 36
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [4,5,2,1] => [5,4,2,1] => 46
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [3,2,1,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [5,4,2,1] => [5,4,2,1] => 46
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [7,1,2,1,1] => [7,2,1,1,1] => 56
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [3,5,2,1,1] => [5,3,2,1,1] => 40
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [5,1,2,2] => [5,2,2,1] => 34
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,1,3,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,3,1,3,2] => [3,3,2,1,1] => 24
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,3,1,1,2,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,3,1,2,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,1,3,2] => [3,2,2,1,1] => 19
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2] => [2,2,2,2,1,1] => 18
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,1,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,2,8] => [8,2,1] => 69
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [6,3,1] => [6,3,1] => 46
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [5,4,1] => [5,4,1] => 42
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [4,5,1] => [5,4,1] => 42
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [10,1] => [10,1] => 101
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => [2,2,2,2,2] => 20
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 24
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,2,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,2,2,1,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,1,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,2,3,1,2] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,2,2,2,1,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,2,2,1,3] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 18
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,3,1,2,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [3,1,1,1,2,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [3,2,1,1,2] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,1,3] => [3,3,2,1] => 23
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,3,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,2,1] => [3,2,2,2,1,1] => 23
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,3] => [4,3,3] => 34
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,2,1,2,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2] => [2,2,1,1,1,1,1] => 13
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [6,1,1,1] => [6,1,1,1] => 39
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,2,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,2,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,3,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,3,2,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,4,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,1,2,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,1,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,1,2,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,2,2,1,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,3,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [2,1,2,1,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 18
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,2,3,1,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,3,1,2,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,3,2,1,1,2] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,4,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [2,1,2,2,1,2] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [2,1,3,1,1,2] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [2,2,1,2,1,2] => [2,2,2,2,1,1] => 18
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,1,2,1,2] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [2,2,2,1,1,2] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [2,3,1,1,1,2] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [3,2,1,1,1,2] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [2,2,2,3,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [2,2,3,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [2,2,4,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [2,3,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [2,3,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [2,4,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [2,3,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [2,4,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,1,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [3,1,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [3,2,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [4,2,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [3,2,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [3,3,1,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [3,4,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,1,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [4,1,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [5,1,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,2,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,3,2,1,2,1,1] => [3,2,2,1,1,1,1,1] => 22
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,3,3,1,1,1,1] => [3,3,1,1,1,1,1,1] => 24
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,2,1,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,1,1,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,2,2,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,1,2,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,1,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,2,2,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [2,1,2,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [2,2,1,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [3,1,1,2,1,2,1,1] => [3,2,2,1,1,1,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1,2,1,1] => [2,2,2,2,1,1,1,1] => 20
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1,1,2,1,1] => [3,2,2,1,1,1,1,1] => 22
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,5,1,1,1,1,2] => [5,2,1,1,1,1,1] => 34
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [2,1,2,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [2,2,2,1,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [3,2,5] => [5,3,2] => 38
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [4,4,2] => [4,4,2] => 36
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [4,3,3] => [4,3,3] => 34
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [5,2,3] => [5,3,2] => 38
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [3,1,1,1,1,2] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [3,3,1,1,1] => [3,3,1,1,1] => 21
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [3,3,3,1] => [3,3,3,1] => 28
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [3,3,3,1] => [3,3,3,1] => 28
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [3,3,1,1,2] => [3,3,2,1,1] => 24
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [3,2,2,1,1] => [3,2,2,1,1] => 19
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [4,1,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [4,1,1,4] => [4,4,1,1] => 34
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [4,1,1,3,1,1] => [4,3,1,1,1,1] => 29
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,5,1,1] => [5,3,1,1] => 36
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,1,3,1,1,1] => [4,3,1,1,1,1] => 29
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,1,1,1,1] => [4,3,1,1,1,1] => 29
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [9,2] => [9,2] => 85
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [11,1] => [11,1] => 122
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [10,2] => [10,2] => 104
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,2,1,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,2,1,2] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [5,1,1,1,2,1] => [5,2,1,1,1,1] => 33
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [3,2,1,2,1] => [3,2,2,1,1] => 19
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,2,1,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1] => 15
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [2,8,1] => [8,2,1] => 69
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,2,1,1,1,1,3] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,4,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,5,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,6,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,5,1,1,1] => [5,1,1,1,1] => 29
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,4,1,1] => [4,2,1,1,1] => 23
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,1,3,1] => [3,3,1,1,1] => 21
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,1,2,2,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,4,1,1] => [4,3,1,1] => 27
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,2,1,2] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [3,1,1,2,2] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,1,1,3,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,1,1,1,2,2] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,2,2,1,1,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [2,3,3,1,1] => [3,3,2,1,1] => 24
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,4,1,2,1] => [4,2,2,1,1] => 26
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 24
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [3,3,1,1,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [4,1,2,1,2] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,1,6] => [6,3,1] => 46
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [5,1,4] => [5,4,1] => 42
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [7,1,2] => [7,2,1] => 54
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [3,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,3,1,1,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,4,4,1] => [4,4,1,1] => 34
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,3,3,1,1] => [3,3,1,1,1] => 21
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,3,5,1] => [5,3,1,1] => 36
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,2,6,1] => [6,2,1,1] => 42
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,1,2,2,1] => [2,2,2,1,1,1] => 15
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,1,1,2,2,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,3,1,2] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,2,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [4,2,1,2] => [4,2,2,1] => 25
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,2,3,2,2] => [3,2,2,2,1] => 22
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [4,1,1,1,2] => [4,2,1,1,1] => 23
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2] => [2,2,2,1,1,1] => 15
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,1,1,2,2,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,1,1,2] => [3,2,1,1,1,1,1,1] => 19
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,1,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,8,2] => [8,2,1] => 69
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,7,1] => [7,2,1] => 54
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,7,1] => [7,1,1,1] => 52
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,3,1,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,2,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,1,1,1,1,2,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,6,1,1] => [6,2,1,1] => 42
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,3,1,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [4,2,1,1,2] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1,1] => [5,1,1,1,1] => 29
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,4,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,2,1,2,1,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,2,3,2,1] => [3,2,2,2,1] => 22
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [4,2,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [4,3,1,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [3,1,2,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,3,2,1,1] => [3,3,2,1,1] => 24
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,2,3,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,2,2,1,2,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,4,3,1] => [4,3,1,1,1] => 28
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,4,1,1,1,1] => [4,1,1,1,1,1,1] => 22
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,3,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,3,2,3,1] => [3,3,2,1,1] => 24
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,3,4,1,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,3,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,2,1,2,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [3,3,2,1,1] => [3,3,2,1,1] => 24
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,2,1,1] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,3,3,1,2] => [3,3,2,1,1] => 24
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,5,1,1,2] => [5,2,1,1,1] => 32
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,2,1,2,1,1,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,2,3,2,2] => [3,2,2,2,1] => 22
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,4,1,2,2] => [4,2,2,1,1] => 26
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [3,3,1,1,2] => [3,3,2,1,1] => 24
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,1,3,2] => [3,3,2,1,1] => 24
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [2,1,2,3,2] => [3,2,2,2,1] => 22
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [5,1,1,1,2] => [5,2,1,1,1] => 32
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [2,1,2,1,1,1,2] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [2,3,2,1,2] => [3,2,2,2,1] => 22
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [2,3,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [2,2,1,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,2,1,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [2,2,3,1,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [2,4,3,2,1] => [4,3,2,2,1] => 34
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [2,4,1,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [2,3,1,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [4,2,3,2,1] => [4,3,2,2,1] => 34
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [4,1,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [3,1,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [3,3,2,3,1] => [3,3,3,2,1] => 32
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [5,1,2,3,1] => [5,3,2,1,1] => 40
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [5,3,2,1,1] => [5,3,2,1,1] => 40
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,2,2,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 18
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,3,1,2,1,1,1,1] => [3,2,1,1,1,1,1,1,1] => 20
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,3,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,3,4,3,1] => [4,3,3,1,1] => 36
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,3,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,1,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [3,1,4,3,1] => [4,3,3,1,1] => 36
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [3,1,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [3,3,2,3,1] => [3,3,3,2,1] => 32
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [3,3,4,1,1] => [4,3,3,1,1] => 36
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,3,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,2,1,2,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 18
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,4,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [3,1,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [2,1,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 18
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,5,1,1,1,1,2] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,2,2,1,2,2,2] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,4,3,2,2] => [4,3,2,2,1] => 34
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [3,2,3,2,2] => [3,3,2,2,2] => 30
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [2,1,2,2,1,2,2] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [2,3,2,3,2] => [3,3,2,2,2] => 30
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [2,2,1,2,2,1,2] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,2,1] => [3,2,2,1,1] => 19
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,1,2,3] => [3,2,2,1,1] => 19
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,3,2] => [3,2,2,2] => 21
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [2,4,1,2] => [4,2,2,1] => 25
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,2,3,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,2,1,1,3] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,3,3,1] => [3,3,2,1] => 23
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,5,1,1] => [5,2,1,1] => 31
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,1,4] => [4,2,2,1] => 25
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,2,3,2] => [3,2,2,2,1] => 22
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [2,2,1,4,1] => [4,2,2,1,1] => 26
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,3,1] => [3,3,2,1,1] => 24
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,1,1,4,1] => [4,3,1,1,1] => 28
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [2,2,1,3,2] => [3,2,2,2,1] => 22
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,1,4,1,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [3,1,3,2,1] => [3,3,2,1,1] => 24
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [2,4,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [2,4,1,1,2] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,1,1,2,1] => [5,2,1,1,1] => 32
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 26
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 26
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 26
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,4,1,2] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [4,2,2,1,1] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [4,2,1,2,1] => [4,2,2,1,1] => 26
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [5,1,2,1,1] => [5,2,1,1,1] => 32
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [3,1,3,1,2] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 22
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [3,1,2,2,2] => [3,2,2,2,1] => 22
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [3,2,1,3,1] => [3,3,2,1,1] => 24
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,1,2,2,1] => [4,2,2,1,1] => 26
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 22
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [4,1,1,3,1] => [4,3,1,1,1] => 28
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [3,2,1,2,2] => [3,2,2,2,1] => 22
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [4,1,3,1,1] => [4,3,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [4,1,2,2,1] => [4,2,2,1,1] => 26
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 28
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,3,1,1,4] => [4,3,2,1,1,1] => 32
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,1,1,4] => [4,3,2,1,1,1] => 32
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,1,2,2,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,1,2,2,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [3,1,2,4,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 32
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [3,2,2,1,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [3,2,2,1,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [3,1,2,2,1,3] => [3,3,2,2,1,1] => 28
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 32
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 32
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 28
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,1,3,1,1] => [3,3,1,1,1] => 21
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [8,2] => [8,2] => 68
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [8,2] => [8,2] => 68
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,2,2,2,2] => [2,2,2,2,1] => 17
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [11,1] => [11,1] => 122
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [8,1,1] => [8,1,1] => 66
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [7,2,1] => [7,2,1] => 54
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [5,1,2,1] => [5,2,1,1] => 31
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [7,1,1,1] => [7,1,1,1] => 52
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,4,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,2,2,3,1] => [3,2,2,1,1] => 19
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 21
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [2,5,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [2,2,4,1,1] => [4,2,2,1,1] => 26
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [2,2,2,3,1] => [3,2,2,2,1] => 22
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [4,1,1,2,1] => [4,2,1,1,1] => 23
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,1,2,1,1] => [4,2,1,1,1] => 23
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,1,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2] => [2,2,2,2,1] => 17
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,1,2,2] => [4,2,2,1] => 25
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [3,1,1,1,2,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,3,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [3,1,1,2,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,3,2,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [3,1,2,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,2,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,2,3,1] => [3,2,1,1,1,1,1] => 18
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,2,1,3,1] => [3,2,1,1,1,1] => 17
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,2,4,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,2,1,4,1] => [4,2,1,1,1] => 23
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,2,5,1] => [5,2,1,1,1] => 32
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,7,1] => [7,1,1,1,1] => 53
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [6,1,1,1,1] => [6,1,1,1,1] => 40
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,5,5] => [5,5,1] => 51
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [5,3,1,1] => [5,3,1,1] => 36
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1] => [3,3,2,1] => 23
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,4,3,1] => [4,3,2,1] => 30
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,2,2,3] => [3,2,2,2] => 21
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,2,4,2] => [4,2,2,2] => 28
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,2,2,2] => [3,2,2,2] => 21
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,2,2,2,1] => [2,2,2,2,1] => 17
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2] => [4,2,2,2] => 28
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,1,3,2] => [3,3,2,1] => 23
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,4,1,2] => [4,3,2,1] => 30
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,3,1] => [3,3,3,1] => 28
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [6,1,3] => [6,3,1] => 46
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [7,1,2] => [7,2,1] => 54
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,2,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,2,1,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 14
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,2,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,2,6] => [6,2,1,1] => 42
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,2,1,3,1] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,2,1,2,2,1] => [2,2,2,1,1,1] => 15
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,2,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,3,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,2,1,4,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,2,2,3,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,3,3,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,1,2,3,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,4,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,3,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,1,3,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,1,1,2,3,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,2,3,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [2,2,1,1,3,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,1,1,3,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,3,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,2,1,3,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,1,2,3,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,1,2,1,3,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,4,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,4,1,2,1] => [4,2,1,1,1,1] => 24
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,4,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,2,1,2,4,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,2,2,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,2,3,3,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,4,1,3,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,4,1,3,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,3,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,4,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,3,2,1,3,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,2,1,2,3,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [2,1,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,2,1,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,1,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,1,2,1,3,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [2,3,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,1,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [4,1,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,2,3,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [2,1,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,1,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,4,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,4,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 15
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,3,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 16
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5] => [5,3,1] => 35
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,1,4] => [4,4,1] => 33
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [5,1,3] => [5,3,1] => 35
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,1,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,1,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,1,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [4,1,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,1,1,1,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1,1] => 16
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,1,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,2,1,1,1,1,2] => [2,2,2,1,1,1,1] => 16
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [4,2,1,1,1] => [4,2,1,1,1] => 23
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [5,2,1,1,1] => [5,2,1,1,1] => 32
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [2,3,2,1,1] => [3,2,2,1,1] => 19
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [4,2,2,1,1] => [4,2,2,1,1] => 26
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,4,1,2,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,2,1,1] => [2,2,2,1,1,1] => 15
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,2,3] => [4,3,2] => 29
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,3] => 27
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [5,2,2] => [5,2,2] => 33
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,5,2] => [5,2,2] => 33
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 13
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => 14
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,4,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,5,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,2,1,1,2,1] => [2,2,1,1,1,1,1] => 13
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,1,1,1,3,1] => [3,2,1,1,1,1] => 17
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2,2] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,1,1,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 14
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,3,1,1,1,1,2] => [3,2,1,1,1,1,1] => 18
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,4,1,1,2] => [4,2,1,1,1] => 23
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3] => [3,2,1,1,1,1] => 17
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,2,2] => [3,2,2,1,1] => 19
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,2,2] => [2,2,2,1,1,1,1] => 16
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [2,4,1,1,1] => [4,2,1,1,1] => 23
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,1,2,1] => [2,2,2,1,1,1] => 15
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [3,6,1] => [6,3,1] => 46
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [2,1,3,1,1,1] => [3,2,1,1,1,1] => 17
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [4,1,1,1,1,2] => [4,2,1,1,1,1] => 24
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,4,2,1,1] => [4,2,1,1,1] => 23
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 21
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,3,2,1,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,2,4,1,1,1] => [4,2,1,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,1,2,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,3,1,1] => [3,3,1,1,1,1] => 22
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,3,2,1,2,1] => [3,2,2,1,1,1] => 20
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,4,1,1,2,1] => [4,2,1,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,2,3,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,1,3,1,2,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,2,2,2,1,1] => [2,2,2,2,1,1] => 18
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,2,3,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,3,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,1,2,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,1,3,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [3,2,1,2,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [4,1,1,2,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [3,2,2,1,1,1] => [3,2,2,1,1,1] => 20
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [3,3,1,1,1,1] => [3,3,1,1,1,1] => 22
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [4,1,2,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [4,2,1,1,1,1] => [4,2,1,1,1,1] => 24
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [5,1,1,1,1,1] => [5,1,1,1,1,1] => 30
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,2,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,2,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,3,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,2,3,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,2,4,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,4,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,5,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,3,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,3,1,3,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,3,1,4,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,2,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,4,1,1,2,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,4,1,1,3,1,1] => [4,3,1,1,1,1,1] => 30
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,3,2,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,3,3,1,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,4,1,2,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,4,2,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,5,1,1,1,2,1] => [5,2,1,1,1,1,1] => 34
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,2,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,1,2,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [2,1,2,3,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,1,2,4,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,3,1,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,3,1,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [2,1,3,2,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [2,1,4,1,1,2,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,1,2,2,2,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,2,1,2,3,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [2,2,1,3,1,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,1,1,2,2,2,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,1,1,2,3,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,1,1,3,1,2,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [2,2,2,2,2,1,1] => [2,2,2,2,2,1,1] => 22
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [2,2,2,3,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [2,2,3,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [2,2,3,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [2,2,4,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [2,3,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [2,3,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [2,3,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [2,4,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [2,3,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [2,3,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [2,4,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [2,4,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [3,1,2,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [3,1,2,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [3,1,3,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [3,1,3,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [3,1,4,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,1,2,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,1,3,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,1,1,2,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [4,1,1,3,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [3,2,2,1,2,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [3,3,1,1,2,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [4,1,2,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1,2,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [5,1,1,1,2,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [3,2,2,2,1,1,1] => [3,2,2,2,1,1,1] => 24
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [3,2,3,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [3,3,1,2,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [3,3,2,1,1,1,1] => [3,3,2,1,1,1,1] => 26
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [3,4,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [4,1,2,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [4,1,3,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [4,2,1,2,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,1,2,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [4,2,2,1,1,1,1] => [4,2,2,1,1,1,1] => 28
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [4,3,1,1,1,1,1] => [4,3,1,1,1,1,1] => 30
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [5,1,2,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [5,2,1,1,1,1,1] => [5,2,1,1,1,1,1] => 34
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [6,1,1,1,1,1,1] => [6,1,1,1,1,1,1] => 42
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [2,2,1,1,1,1,2] => [2,2,2,1,1,1,1] => 16
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Description
The sum of the squares of the parts of a partition.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
rise composition
Description
Send a Dyck path to the composition of sizes of its rises.