Identifier
Values
[1] => [1] => [1] => [1,0,1,0] => 2
[1,1] => [2] => [2] => [1,1,0,0,1,0] => 3
[2] => [1,1] => [1,1] => [1,0,1,1,0,0] => 2
[1,1,1] => [3] => [3] => [1,1,1,0,0,0,1,0] => 4
[1,2] => [2,1] => [2,1] => [1,0,1,0,1,0] => 3
[2,1] => [1,2] => [2,1] => [1,0,1,0,1,0] => 3
[3] => [1,1,1] => [1,1,1] => [1,0,1,1,1,0,0,0] => 2
[1,1,1,1] => [4] => [4] => [1,1,1,1,0,0,0,0,1,0] => 5
[1,1,2] => [3,1] => [3,1] => [1,1,0,1,0,0,1,0] => 4
[1,2,1] => [2,2] => [2,2] => [1,1,0,0,1,1,0,0] => 3
[1,3] => [2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => 3
[2,1,1] => [1,3] => [3,1] => [1,1,0,1,0,0,1,0] => 4
[2,2] => [1,2,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => 3
[3,1] => [1,1,2] => [2,1,1] => [1,0,1,1,0,1,0,0] => 3
[4] => [1,1,1,1] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,1,1] => [5] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[1,1,1,2] => [4,1] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 5
[1,1,2,1] => [3,2] => [3,2] => [1,1,0,0,1,0,1,0] => 4
[1,1,3] => [3,1,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => 4
[1,2,1,1] => [2,3] => [3,2] => [1,1,0,0,1,0,1,0] => 4
[1,2,2] => [2,2,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => 3
[1,3,1] => [2,1,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => 3
[1,4] => [2,1,1,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 3
[2,1,1,1] => [1,4] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => 5
[2,1,2] => [1,3,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => 4
[2,2,1] => [1,2,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => 3
[2,3] => [1,2,1,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 3
[3,1,1] => [1,1,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 4
[3,2] => [1,1,2,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 3
[4,1] => [1,1,1,2] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 3
[5] => [1,1,1,1,1] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,2] => [5,1] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 6
[1,1,1,2,1] => [4,2] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 5
[1,1,1,3] => [4,1,1] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[1,1,2,1,1] => [3,3] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => 4
[1,1,2,2] => [3,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,3,1] => [3,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,4] => [3,1,1,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 4
[1,2,1,1,1] => [2,4] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => 5
[1,2,1,2] => [2,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[1,2,2,1] => [2,2,2] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[1,2,3] => [2,2,1,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[1,3,1,1] => [2,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[1,3,2] => [2,1,2,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[1,4,1] => [2,1,1,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[1,5] => [2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[2,1,1,1,1] => [1,5] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 6
[2,1,1,2] => [1,4,1] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,1,2,1] => [1,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[2,1,3] => [1,3,1,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 4
[2,2,1,1] => [1,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => 4
[2,2,2] => [1,2,2,1] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[2,3,1] => [1,2,1,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[2,4] => [1,2,1,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[3,1,1,1] => [1,1,4] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 5
[3,1,2] => [1,1,3,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 4
[3,2,1] => [1,1,2,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 3
[3,3] => [1,1,2,1,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[4,1,1] => [1,1,1,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 4
[4,2] => [1,1,1,2,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[5,1] => [1,1,1,1,2] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,1,2,1] => [5,2] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 6
[1,1,1,1,3] => [5,1,1] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 6
[1,1,1,2,1,1] => [4,3] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,2,2] => [4,2,1] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[1,1,1,3,1] => [4,1,2] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[1,1,1,4] => [4,1,1,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,1,2,1,1,1] => [3,4] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => 5
[1,1,2,1,2] => [3,3,1] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 4
[1,1,2,2,1] => [3,2,2] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 4
[1,1,2,3] => [3,2,1,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,1,3,1,1] => [3,1,3] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 4
[1,1,3,2] => [3,1,2,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,1,4,1] => [3,1,1,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,1,5] => [3,1,1,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,2,1,1,1,1] => [2,5] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 6
[1,2,1,1,2] => [2,4,1] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[1,2,1,2,1] => [2,3,2] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 4
[1,2,1,3] => [2,3,1,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,2,2,1,1] => [2,2,3] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 4
[1,2,2,2] => [2,2,2,1] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,2,3,1] => [2,2,1,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,2,4] => [2,2,1,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,3,1,1,1] => [2,1,4] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[1,3,1,2] => [2,1,3,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,3,2,1] => [2,1,2,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,3,3] => [2,1,2,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,4,1,1] => [2,1,1,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[1,4,2] => [2,1,1,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,5,1] => [2,1,1,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[2,1,1,1,2] => [1,5,1] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 6
[2,1,1,2,1] => [1,4,2] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[2,1,1,3] => [1,4,1,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,1,2,1,1] => [1,3,3] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 4
[2,1,2,2] => [1,3,2,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[2,1,3,1] => [1,3,1,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[2,1,4] => [1,3,1,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[2,2,1,1,1] => [1,2,4] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 5
[2,2,1,2] => [1,2,3,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[2,2,2,1] => [1,2,2,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 3
[2,2,3] => [1,2,2,1,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
>>> Load all 681 entries. <<<
[2,3,1,1] => [1,2,1,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[2,3,2] => [1,2,1,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[2,4,1] => [1,2,1,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[3,1,1,1,1] => [1,1,5] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 6
[3,1,1,2] => [1,1,4,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[3,1,2,1] => [1,1,3,2] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[3,1,3] => [1,1,3,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[3,2,1,1] => [1,1,2,3] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 4
[3,2,2] => [1,1,2,2,1] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[3,3,1] => [1,1,2,1,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[4,1,1,1] => [1,1,1,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[4,1,2] => [1,1,1,3,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[4,2,1] => [1,1,1,2,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 3
[5,1,1] => [1,1,1,1,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,1,2,1,1] => [5,3] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 6
[1,1,1,1,2,2] => [5,2,1] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,3,1] => [5,1,2] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,4] => [5,1,1,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 6
[1,1,1,2,1,1,1] => [4,4] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[1,1,1,2,1,2] => [4,3,1] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,2,2,1] => [4,2,2] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,1,1,2,3] => [4,2,1,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,3,1,1] => [4,1,3] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,3,2] => [4,1,2,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,4,1] => [4,1,1,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,5] => [4,1,1,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 5
[1,1,2,1,1,1,1] => [3,5] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 6
[1,1,2,1,1,2] => [3,4,1] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[1,1,2,1,2,1] => [3,3,2] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 4
[1,1,2,1,3] => [3,3,1,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,2,2,1,1] => [3,2,3] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 4
[1,1,2,2,2] => [3,2,2,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,1,2,3,1] => [3,2,1,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,1,2,4] => [3,2,1,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,3,1,1,1] => [3,1,4] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[1,1,3,1,2] => [3,1,3,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,2,1] => [3,1,2,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,1,3,3] => [3,1,2,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,4,1,1] => [3,1,1,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,1,4,2] => [3,1,1,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,5,1] => [3,1,1,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,2,1,1,1,2] => [2,5,1] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,2,1,1,2,1] => [2,4,2] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,2,1,1,3] => [2,4,1,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,2,1,2,1,1] => [2,3,3] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 4
[1,2,1,2,2] => [2,3,2,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,2,1,3,1] => [2,3,1,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,2,1,4] => [2,3,1,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,2,2,1,1,1] => [2,2,4] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 5
[1,2,2,1,2] => [2,2,3,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,2,2,2,1] => [2,2,2,2] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,2,3] => [2,2,2,1,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,2,3,1,1] => [2,2,1,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,2,3,2] => [2,2,1,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,2,4,1] => [2,2,1,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,3,1,1,1,1] => [2,1,5] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,3,1,1,2] => [2,1,4,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,3,1,2,1] => [2,1,3,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,3,1,3] => [2,1,3,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,3,2,1,1] => [2,1,2,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[1,3,2,2] => [2,1,2,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,3,3,1] => [2,1,2,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,4,1,1,1] => [2,1,1,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[1,4,1,2] => [2,1,1,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,4,2,1] => [2,1,1,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,5,1,1] => [2,1,1,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,1,1,1,2,1] => [1,5,2] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,3] => [1,5,1,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 6
[2,1,1,2,1,1] => [1,4,3] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[2,1,1,2,2] => [1,4,2,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[2,1,1,3,1] => [1,4,1,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[2,1,1,4] => [1,4,1,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 5
[2,1,2,1,1,1] => [1,3,4] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 5
[2,1,2,1,2] => [1,3,3,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,2,2,1] => [1,3,2,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[2,1,2,3] => [1,3,2,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,1,3,1,1] => [1,3,1,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,1,3,2] => [1,3,1,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,1,4,1] => [1,3,1,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,2,1,1,1,1] => [1,2,5] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 6
[2,2,1,1,2] => [1,2,4,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[2,2,1,2,1] => [1,2,3,2] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[2,2,1,3] => [1,2,3,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,2,2,1,1] => [1,2,2,3] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 4
[2,2,2,2] => [1,2,2,2,1] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[2,2,3,1] => [1,2,2,1,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[2,3,1,1,1] => [1,2,1,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[2,3,1,2] => [1,2,1,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[2,3,2,1] => [1,2,1,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[2,4,1,1] => [1,2,1,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[3,1,1,1,2] => [1,1,5,1] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 6
[3,1,1,2,1] => [1,1,4,2] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[3,1,1,3] => [1,1,4,1,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 5
[3,1,2,1,1] => [1,1,3,3] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,2,2] => [1,1,3,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[3,1,3,1] => [1,1,3,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[3,2,1,1,1] => [1,1,2,4] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 5
[3,2,1,2] => [1,1,2,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[3,2,2,1] => [1,1,2,2,2] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 3
[3,3,1,1] => [1,1,2,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[4,1,1,1,1] => [1,1,1,5] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 6
[4,1,1,2] => [1,1,1,4,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 5
[4,1,2,1] => [1,1,1,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[4,2,1,1] => [1,1,1,2,3] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[5,1,1,1] => [1,1,1,1,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 5
[1,1,1,1,2,1,1,1] => [5,4] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,1,2,1,2] => [5,3,1] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,2,2,1] => [5,2,2] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,1,1,1,2,3] => [5,2,1,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,3,1,1] => [5,1,3] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,3,2] => [5,1,2,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,4,1] => [5,1,1,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,5] => [5,1,1,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,1,1,2,1,1,1,1] => [4,5] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[1,1,1,2,1,1,2] => [4,4,1] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,2,1,2,1] => [4,3,2] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,1,2,1,3] => [4,3,1,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,2,2,1,1] => [4,2,3] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,1,2,2,2] => [4,2,2,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,2,3,1] => [4,2,1,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,2,4] => [4,2,1,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,3,1,1,1] => [4,1,4] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 5
[1,1,1,3,1,2] => [4,1,3,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,3,2,1] => [4,1,2,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,3,3] => [4,1,2,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,4,1,1] => [4,1,1,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,4,2] => [4,1,1,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,5,1] => [4,1,1,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,2,1,1,1,2] => [3,5,1] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,2,1,1,2,1] => [3,4,2] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,2,1,1,3] => [3,4,1,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,2,1,2,1,1] => [3,3,3] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,2] => [3,3,2,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,2,1,3,1] => [3,3,1,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,2,1,4] => [3,3,1,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,2,2,1,1,1] => [3,2,4] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,1,2,2,1,2] => [3,2,3,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,2,2,2,1] => [3,2,2,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,2,2,3] => [3,2,2,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,2,3,1,1] => [3,2,1,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,2,3,2] => [3,2,1,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,2,4,1] => [3,2,1,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,3,1,1,1,1] => [3,1,5] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,1,3,1,1,2] => [3,1,4,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,3,1,2,1] => [3,1,3,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,3,1,3] => [3,1,3,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,3,2,1,1] => [3,1,2,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,3,2,2] => [3,1,2,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,3,3,1] => [3,1,2,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,4,1,1,1] => [3,1,1,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,1,4,1,2] => [3,1,1,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,4,2,1] => [3,1,1,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,5,1,1] => [3,1,1,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,2,1,1,1,2,1] => [2,5,2] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,2,1,1,1,3] => [2,5,1,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,2,1,1,2,1,1] => [2,4,3] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,2,1,1,2,2] => [2,4,2,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,1,1,3,1] => [2,4,1,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,1,1,4] => [2,4,1,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,2,1,2,1,1,1] => [2,3,4] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[1,2,1,2,1,2] => [2,3,3,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,2,1,2,2,1] => [2,3,2,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,2,1,2,3] => [2,3,2,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,2,1,3,1,1] => [2,3,1,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,2,1,3,2] => [2,3,1,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,2,1,4,1] => [2,3,1,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,2,2,1,1,1,1] => [2,2,5] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,2,2,1,1,2] => [2,2,4,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,2,1,2,1] => [2,2,3,2] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,2,2,1,3] => [2,2,3,1,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,2,2,2,1,1] => [2,2,2,3] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,2,2,2,2] => [2,2,2,2,1] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,2,3,1] => [2,2,2,1,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,3,1,1,1] => [2,2,1,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,2,3,1,2] => [2,2,1,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,2,3,2,1] => [2,2,1,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,1,1] => [2,2,1,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,3,1,1,1,2] => [2,1,5,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,3,1,1,2,1] => [2,1,4,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,1,1,3] => [2,1,4,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,3,1,2,1,1] => [2,1,3,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,3,1,2,2] => [2,1,3,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,3,1,3,1] => [2,1,3,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,3,2,1,1,1] => [2,1,2,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,3,2,1,2] => [2,1,2,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,3,2,2,1] => [2,1,2,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,3,3,1,1] => [2,1,2,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,4,1,1,1,1] => [2,1,1,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,4,1,1,2] => [2,1,1,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,4,1,2,1] => [2,1,1,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,4,2,1,1] => [2,1,1,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,5,1,1,1] => [2,1,1,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,1,1,1,2,1,1] => [1,5,3] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[2,1,1,1,2,2] => [1,5,2,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,3,1] => [1,5,1,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,4] => [1,5,1,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,1,1,2,1,1,1] => [1,4,4] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,1,2] => [1,4,3,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,1,2,2,1] => [1,4,2,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,1,1,2,3] => [1,4,2,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,1,1,3,1,1] => [1,4,1,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,1,3,2] => [1,4,1,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,1,1,4,1] => [1,4,1,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,1,2,1,1,1,1] => [1,3,5] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 6
[2,1,2,1,1,2] => [1,3,4,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,2,1,2,1] => [1,3,3,2] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[2,1,2,1,3] => [1,3,3,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[2,1,2,2,1,1] => [1,3,2,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[2,1,2,2,2] => [1,3,2,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,1,2,3,1] => [1,3,2,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,1,3,1,1,1] => [1,3,1,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[2,1,3,1,2] => [1,3,1,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[2,1,3,2,1] => [1,3,1,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,1,4,1,1] => [1,3,1,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[2,2,1,1,1,2] => [1,2,5,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[2,2,1,1,2,1] => [1,2,4,2] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,2,1,1,3] => [1,2,4,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,2,1,2,1,1] => [1,2,3,3] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 4
[2,2,1,2,2] => [1,2,3,2,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,2,1,3,1] => [1,2,3,1,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,2,2,1,1,1] => [1,2,2,4] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[2,2,2,1,2] => [1,2,2,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,2,2,2,1] => [1,2,2,2,2] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,2,3,1,1] => [1,2,2,1,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,3,1,1,1,1] => [1,2,1,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[2,3,1,1,2] => [1,2,1,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[2,3,1,2,1] => [1,2,1,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,3,2,1,1] => [1,2,1,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[2,4,1,1,1] => [1,2,1,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[3,1,1,1,2,1] => [1,1,5,2] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[3,1,1,1,3] => [1,1,5,1,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[3,1,1,2,1,1] => [1,1,4,3] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[3,1,1,2,2] => [1,1,4,2,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[3,1,1,3,1] => [1,1,4,1,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[3,1,2,1,1,1] => [1,1,3,4] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[3,1,2,1,2] => [1,1,3,3,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[3,1,2,2,1] => [1,1,3,2,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[3,1,3,1,1] => [1,1,3,1,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[3,2,1,1,1,1] => [1,1,2,5] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 6
[3,2,1,1,2] => [1,1,2,4,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[3,2,1,2,1] => [1,1,2,3,2] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[3,2,2,1,1] => [1,1,2,2,3] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[3,3,1,1,1] => [1,1,2,1,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[4,1,1,1,2] => [1,1,1,5,1] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[4,1,1,2,1] => [1,1,1,4,2] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[4,1,2,1,1] => [1,1,1,3,3] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[4,2,1,1,1] => [1,1,1,2,4] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 5
[5,1,1,1,1] => [1,1,1,1,5] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,1,1,1,2,1,1,2] => [5,4,1] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,1,2,1,2,1] => [5,3,2] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,1,1,2,1,3] => [5,3,1,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,2,2,1,1] => [5,2,3] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,1,1,2,2,2] => [5,2,2,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,1,1,1,2,3,1] => [5,2,1,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,1,1,1,2,4] => [5,2,1,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,3,1,1,1] => [5,1,4] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,1,3,1,2] => [5,1,3,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,3,2,1] => [5,1,2,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,1,1,1,3,3] => [5,1,2,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,4,1,1] => [5,1,1,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,4,2] => [5,1,1,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,5,1] => [5,1,1,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,2,1,1,1,2] => [4,5,1] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,2,1,1,2,1] => [4,4,2] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,1,2,1,1,3] => [4,4,1,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,2,1,2,1,1] => [4,3,3] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,1,2,1,2,2] => [4,3,2,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2,1,3,1] => [4,3,1,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2,1,4] => [4,3,1,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,2,2,1,1,1] => [4,2,4] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,1,1,2,2,1,2] => [4,2,3,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2,2,2,1] => [4,2,2,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,1,1,2,2,3] => [4,2,2,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,2,3,1,1] => [4,2,1,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2,3,2] => [4,2,1,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,2,4,1] => [4,2,1,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,3,1,1,1,1] => [4,1,5] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,3,1,1,2] => [4,1,4,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,3,1,2,1] => [4,1,3,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,3,1,3] => [4,1,3,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,3,2,1,1] => [4,1,2,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,3,2,2] => [4,1,2,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,3,3,1] => [4,1,2,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,4,1,1,1] => [4,1,1,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,4,1,2] => [4,1,1,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,4,2,1] => [4,1,1,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,5,1,1] => [4,1,1,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,2,1,1,1,2,1] => [3,5,2] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,2,1,1,1,3] => [3,5,1,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,2,1,1,2,1,1] => [3,4,3] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,2,1,1,2,2] => [3,4,2,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,2,1,1,3,1] => [3,4,1,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,2,1,1,4] => [3,4,1,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,2,1,2,1,1,1] => [3,3,4] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 5
[1,1,2,1,2,1,2] => [3,3,3,1] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,2,1] => [3,3,2,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,2,1,2,3] => [3,3,2,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,2,1,3,1,1] => [3,3,1,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,2,1,3,2] => [3,3,1,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,2,1,4,1] => [3,3,1,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,2,2,1,1,1,1] => [3,2,5] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,1,2,2,1,1,2] => [3,2,4,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,2,2,1,2,1] => [3,2,3,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,2,2,1,3] => [3,2,3,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,2,2,2,1,1] => [3,2,2,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,2,2,2,2] => [3,2,2,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,2,2,3,1] => [3,2,2,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,2,3,1,1,1] => [3,2,1,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,2,3,1,2] => [3,2,1,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,2,3,2,1] => [3,2,1,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,2,4,1,1] => [3,2,1,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,3,1,1,1,2] => [3,1,5,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,3,1,1,2,1] => [3,1,4,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,3,1,1,3] => [3,1,4,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,3,1,2,1,1] => [3,1,3,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,3,1,2,2] => [3,1,3,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,3,1,3,1] => [3,1,3,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,3,2,1,1,1] => [3,1,2,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,3,2,1,2] => [3,1,2,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,3,2,2,1] => [3,1,2,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,3,3,1,1] => [3,1,2,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,4,1,1,1,1] => [3,1,1,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,4,1,1,2] => [3,1,1,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,4,1,2,1] => [3,1,1,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,4,2,1,1] => [3,1,1,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,5,1,1,1] => [3,1,1,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,2,1,1,1,2,1,1] => [2,5,3] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,2,1,1,1,2,2] => [2,5,2,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,2,1,1,1,3,1] => [2,5,1,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,2,1,1,1,4] => [2,5,1,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,2,1,1,2,1,1,1] => [2,4,4] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[1,2,1,1,2,1,2] => [2,4,3,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,1,1,2,2,1] => [2,4,2,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,2,1,1,2,3] => [2,4,2,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,2,1,1,3,1,1] => [2,4,1,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,1,1,3,2] => [2,4,1,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,2,1,1,4,1] => [2,4,1,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,2,1,2,1,1,1,1] => [2,3,5] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,2,1,2,1,1,2] => [2,3,4,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,1,2,1,2,1] => [2,3,3,2] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,2,1,2,1,3] => [2,3,3,1,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,2,1,2,2,1,1] => [2,3,2,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,2,1,2,2,2] => [2,3,2,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,1,2,3,1] => [2,3,2,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,1,3,1,1,1] => [2,3,1,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,2,1,3,1,2] => [2,3,1,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,2,1,3,2,1] => [2,3,1,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,1,4,1,1] => [2,3,1,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,2,2,1,1,1,2] => [2,2,5,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,2,2,1,1,2,1] => [2,2,4,2] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,2,2,1,1,3] => [2,2,4,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,2,2,1,2,1,1] => [2,2,3,3] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,2,2,1,2,2] => [2,2,3,2,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,2,1,3,1] => [2,2,3,1,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,2,2,1,1,1] => [2,2,2,4] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[1,2,2,2,1,2] => [2,2,2,3,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,2,3,1,1] => [2,2,2,1,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,3,1,1,1,1] => [2,2,1,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,2,3,1,1,2] => [2,2,1,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,2,3,1,2,1] => [2,2,1,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,3,2,1,1] => [2,2,1,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,2,4,1,1,1] => [2,2,1,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,3,1,1,1,2,1] => [2,1,5,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,3,1,1,1,3] => [2,1,5,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,3,1,1,2,1,1] => [2,1,4,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,1,1,2,2] => [2,1,4,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,3,1,1,3,1] => [2,1,4,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,3,1,2,1,1,1] => [2,1,3,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,3,1,2,1,2] => [2,1,3,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,3,1,2,2,1] => [2,1,3,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,3,1,3,1,1] => [2,1,3,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,3,2,1,1,1,1] => [2,1,2,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,3,2,1,1,2] => [2,1,2,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,3,2,1,2,1] => [2,1,2,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,3,2,2,1,1] => [2,1,2,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,3,3,1,1,1] => [2,1,2,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,4,1,1,1,2] => [2,1,1,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,4,1,1,2,1] => [2,1,1,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,4,1,2,1,1] => [2,1,1,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,4,2,1,1,1] => [2,1,1,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,5,1,1,1,1] => [2,1,1,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,2,1,1,1] => [1,5,4] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[2,1,1,1,2,1,2] => [1,5,3,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[2,1,1,1,2,2,1] => [1,5,2,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[2,1,1,1,2,3] => [1,5,2,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,3,1,1] => [1,5,1,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[2,1,1,1,3,2] => [1,5,1,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,1,4,1] => [1,5,1,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,1,1,2,1,1,1,1] => [1,4,5] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 6
[2,1,1,2,1,1,2] => [1,4,4,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,2,1,2,1] => [1,4,3,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,1,2,1,3] => [1,4,3,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,1,1,2,2,1,1] => [1,4,2,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,1,2,2,2] => [1,4,2,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,1,1,2,3,1] => [1,4,2,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,1,1,3,1,1,1] => [1,4,1,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[2,1,1,3,1,2] => [1,4,1,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,1,1,3,2,1] => [1,4,1,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,1,1,4,1,1] => [1,4,1,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,1,2,1,1,1,2] => [1,3,5,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[2,1,2,1,1,2,1] => [1,3,4,2] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,2,1,1,3] => [1,3,4,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,1,2,1,2,1,1] => [1,3,3,3] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[2,1,2,1,2,2] => [1,3,3,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,2,1,3,1] => [1,3,3,1,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,2,2,1,1,1] => [1,3,2,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,1,2,2,1,2] => [1,3,2,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,2,2,2,1] => [1,3,2,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[2,1,2,3,1,1] => [1,3,2,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,3,1,1,1,1] => [1,3,1,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[2,1,3,1,1,2] => [1,3,1,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,1,3,1,2,1] => [1,3,1,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,3,2,1,1] => [1,3,1,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,1,4,1,1,1] => [1,3,1,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[2,2,1,1,1,2,1] => [1,2,5,2] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[2,2,1,1,1,3] => [1,2,5,1,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,2,1,1,2,1,1] => [1,2,4,3] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,2,1,1,2,2] => [1,2,4,2,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,2,1,1,3,1] => [1,2,4,1,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,2,1,2,1,1,1] => [1,2,3,4] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[2,2,1,2,1,2] => [1,2,3,3,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,2,1,2,2,1] => [1,2,3,2,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[2,2,1,3,1,1] => [1,2,3,1,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,2,2,1,1,1,1] => [1,2,2,5] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 6
[2,2,2,1,1,2] => [1,2,2,4,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,2,2,1,2,1] => [1,2,2,3,2] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[2,2,2,2,1,1] => [1,2,2,2,3] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[2,2,3,1,1,1] => [1,2,2,1,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,3,1,1,1,2] => [1,2,1,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[2,3,1,1,2,1] => [1,2,1,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,3,1,2,1,1] => [1,2,1,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[2,3,2,1,1,1] => [1,2,1,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[2,4,1,1,1,1] => [1,2,1,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[3,1,1,1,2,1,1] => [1,1,5,3] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[3,1,1,1,2,2] => [1,1,5,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[3,1,1,1,3,1] => [1,1,5,1,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[3,1,1,2,1,1,1] => [1,1,4,4] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[3,1,1,2,1,2] => [1,1,4,3,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[3,1,1,2,2,1] => [1,1,4,2,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[3,1,1,3,1,1] => [1,1,4,1,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[3,1,2,1,1,1,1] => [1,1,3,5] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 6
[3,1,2,1,1,2] => [1,1,3,4,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[3,1,2,1,2,1] => [1,1,3,3,2] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[3,1,2,2,1,1] => [1,1,3,2,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[3,1,3,1,1,1] => [1,1,3,1,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[3,2,1,1,1,2] => [1,1,2,5,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[3,2,1,1,2,1] => [1,1,2,4,2] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[3,2,1,2,1,1] => [1,1,2,3,3] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[3,2,2,1,1,1] => [1,1,2,2,4] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 5
[3,3,1,1,1,1] => [1,1,2,1,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[4,1,1,1,2,1] => [1,1,1,5,2] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[4,1,1,2,1,1] => [1,1,1,4,3] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[4,1,2,1,1,1] => [1,1,1,3,4] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 5
[4,2,1,1,1,1] => [1,1,1,2,5] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,1,2,2,2,2] => [5,2,2,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,2,1,1,2,1,1] => [5,4,3] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,2,1,2,3] => [5,3,2,1,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,1,1,3,3,1,1] => [5,1,2,1,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,1,1,3,2,1,2] => [5,1,2,3,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,1,1,3,1,1,3] => [5,1,4,1,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,1,2,2,1,1,2,2] => [3,2,4,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,2,2,2,1,1,2] => [3,2,2,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,2,1,1,2,1,1,1,1] => [3,4,5] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,2,1,1,2,2,2] => [3,4,2,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,2,1,1,1,2,3] => [3,5,2,1,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,2,1,2,3,1,1] => [3,3,2,1,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,2,1,2] => [3,3,2,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,1,1,3] => [3,3,4,1,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,1,3,3,1,1,1,1] => [3,1,2,1,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,3,2,1,2,1,1] => [3,1,2,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,3,2,1,1,1,2] => [3,1,2,5,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,1,3,1,1,3,1,1] => [3,1,4,1,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[1,1,3,1,1,2,1,2] => [3,1,4,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[2,2,1,1,2,2,1,1] => [1,2,4,2,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,2,1,1,2,1,1,2] => [1,2,4,4,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 5
[2,2,2,2,1,1,1,1] => [1,2,2,2,5] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,2,2,1,1,2,1,1] => [1,2,2,4,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,1,2,1,1,2,2] => [1,4,4,2,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 5
[2,1,1,2,2,2,1,1] => [1,4,2,2,3] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,1,2,2,1,1,2] => [1,4,2,4,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 5
[2,1,1,1,2,3,1,1] => [1,5,2,1,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[2,1,1,1,2,2,1,2] => [1,5,2,3,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[2,1,1,1,2,1,1,3] => [1,5,4,1,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[2,1,2,3,1,1,1,1] => [1,3,2,1,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[2,1,2,2,1,2,1,1] => [1,3,2,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[2,1,2,2,1,1,1,2] => [1,3,2,5,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[2,1,2,1,1,3,1,1] => [1,3,4,1,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[2,1,2,1,1,2,1,2] => [1,3,4,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[3,2,1,2,1,1,1,1] => [1,1,2,3,5] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[3,2,1,1,1,2,1,1] => [1,1,2,5,3] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[3,1,1,3,1,1,1,1] => [1,1,4,1,5] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[3,1,1,2,1,2,1,1] => [1,1,4,3,3] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[3,1,1,2,1,1,1,2] => [1,1,4,5,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,2,1,1,2,2,1] => [4,4,2,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,1,2,1,1,3,1] => [5,4,1,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,1,2,1,2,2,1,1] => [4,3,2,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,2,2,1,1,2,1,1,1] => [2,2,4,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,2,2,1,2,1,1,1] => [3,2,3,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,2,2,2,1,1,1] => [4,2,2,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,1,2,3,1,1,1] => [5,2,1,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,3,1,1,2,1,1,1,1] => [2,1,4,5] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,1,3,2,1,1,1,1] => [4,1,2,5] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[2,2,1,2,1,1,2,1] => [1,2,3,4,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,2,1,1,2,1,2,1] => [1,2,4,3,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,2,1,1,1,2,2,1] => [1,2,5,2,2] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,2,1,2,1,2,1] => [1,3,3,3,2] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[2,1,2,1,1,2,2,1] => [1,3,4,2,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,2,1,1,1,2,2] => [1,3,5,2,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[2,1,2,2,1,1,2,1] => [1,3,2,4,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,1,2,2,1,2,1] => [1,4,2,3,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,1,2,1,2,1,2] => [1,4,3,3,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[2,1,1,2,1,2,2,1] => [1,4,3,2,2] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[2,1,1,1,2,2,2,1] => [1,5,2,2,2] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[2,1,1,1,2,1,2,2] => [1,5,3,2,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,2,1,2,1,2,1,2] => [2,3,3,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,2,1,2,1,1,2,2] => [2,3,4,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,1,1,2,1,2,2] => [2,4,3,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,1,1,2,1,1,2,1] => [2,4,4,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,2,1,1,2,2,1,2] => [2,4,2,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,1,1,1,2,2,2] => [2,5,2,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,2,1,1,1,2,1,2,1] => [2,5,3,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,2,2,1,1,2,1,2] => [2,2,4,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,2,1,1,1,2,2] => [2,2,5,2,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,2,2,1,2,1,2] => [3,2,3,3,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,1,2,2] => [3,3,3,2,1] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,2,1,1,2,1] => [3,3,4,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,2,1,1,2,1,2,1] => [3,4,3,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,2,1,1,1,2,2,1] => [3,5,2,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,2,2,1,2,2] => [4,2,3,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,2,2,1,1,2,1] => [4,2,4,2] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,2,2,2,1,2] => [4,2,2,3,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,2,1,2,2,2] => [4,3,2,2,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,2,1,2,1,2,1] => [4,3,3,2] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,1,2,2,1,2,1] => [5,2,3,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,2,1,2,2,1] => [5,3,2,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[2,2,1,2,1,2,1,1] => [1,2,3,3,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[2,2,1,1,1,2,1,1,1] => [1,2,5,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[2,1,2,1,1,1,2,1,1] => [1,3,5,3] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[2,1,2,1,2,1,1,2] => [1,3,3,4,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 5
[2,1,2,1,2,2,1,1] => [1,3,3,2,3] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[2,1,2,1,1,2,1,1,1] => [1,3,4,4] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[2,1,1,2,1,1,1,2,1] => [1,4,5,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[2,1,1,2,1,1,2,1,1] => [1,4,4,3] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[2,1,1,2,1,2,1,1,1] => [1,4,3,4] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[2,1,1,1,2,1,1,2,1] => [1,5,4,2] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[2,1,1,1,2,1,2,1,1] => [1,5,3,3] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[2,1,1,1,2,2,1,1,1] => [1,5,2,4] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,2,1,2,1,1,2,1,1] => [2,3,4,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,2,1,1,2,1,2,1,1] => [2,4,3,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,2,1,1,1,2,1,1,2] => [2,5,4,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,2,1,1,1,2,2,1,1] => [2,5,2,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,2,2,1,1,1,2,1,1] => [2,2,5,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,2,2,1,2,1,1,2] => [2,2,3,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,1,2,1,1,1,2,1] => [2,3,5,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,2,1,2,2,1,1,2] => [2,3,2,4,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,1,2,1,2,1,1,1] => [2,3,3,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,2,1,1,2,1,1,1,2] => [2,4,5,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,2,1,1,2,2,1,1,1] => [2,4,2,4] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,2,1,1,1,2,1,2] => [3,5,3,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,1,2,1,1,2,1,1,2] => [3,4,4,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,2,1,1,2,2,1,1] => [3,4,2,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,2,1,1,1,2,1,1,1] => [3,5,4] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,2,2,1,1,1,2,1] => [3,2,5,2] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,2,2,1,1,2,1,1] => [3,2,4,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,2,1,2,1,1,1,2] => [3,3,5,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
[1,1,2,1,2,2,1,1,1] => [3,3,2,4] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,2,1,1,1,2,2] => [4,5,2,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,1,2,1,1,2,1,2] => [4,4,3,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,1,2,1,1,1,2,1,1] => [4,5,3] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,2,1,2,1,1,2] => [4,3,4,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 5
[1,1,1,2,2,1,1,1,2] => [4,2,5,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,1,2,2,1,2,1,1] => [4,2,3,3] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,2,1,2,1,1,1,1] => [4,3,5] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,2,1,2,1,1,1] => [5,3,4] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,2,1,1,2,2] => [5,4,2,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,1,1,1,2,2,2,1,1] => [5,2,2,3] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,2,2,1,1,2] => [5,2,4,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 6
[2,1,3,1,1,1,2] => [1,3,1,5,1] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 6
[2,1,1,1,3,1,2] => [1,5,1,3,1] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,1,2,1,2,1,2] => [5,3,3,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of indecomposable summands of the tensor product of two copies of the dual of the Nakayama algebra associated to a Dyck path.
Let $A$ be the Nakayama algebra associated to a Dyck path as given in DyckPaths/NakayamaAlgebras. This statistics is the number of indecomposable summands of $D(A) \otimes D(A)$, where $D(A)$ is the natural dual of $A$.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
Map
complement
Description
The complement of a composition.
The complement of a composition $I$ is defined as follows:
If $I$ is the empty composition, then the complement is also the empty composition. Otherwise, let $S$ be the descent set corresponding to $I=(i_1,\dots,i_k)$, that is, the subset
$$\{ i_1, i_1 + i_2, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$$
of $\{ 1, 2, \ldots, |I|-1 \}$. Then, the complement of $I$ is the composition of the same size as $I$, whose descent set is $\{ 1, 2, \ldots, |I|-1 \} \setminus S$.
The complement of a composition $I$ coincides with the reversal (Mp00038reverse) of the composition conjugate (Mp00041conjugate) to $I$.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.