Processing math: 100%

Identifier
Values
[1,1,2] => [1,1,0,1,0,0] => [1,0,1,0,1,0] => [2,1] => 1
[1,2,1] => [1,1,0,1,0,0] => [1,0,1,0,1,0] => [2,1] => 1
[2,1,1] => [1,1,0,1,0,0] => [1,0,1,0,1,0] => [2,1] => 1
[1,1,3] => [1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,1] => 0
[1,3,1] => [1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,1] => 0
[3,1,1] => [1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,1] => 0
[1,2,2] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => [2] => 0
[2,1,2] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => [2] => 0
[2,2,1] => [1,0,1,1,0,0] => [1,1,0,0,1,0] => [2] => 0
[1,1,1,2] => [1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1
[1,1,2,1] => [1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1
[1,2,1,1] => [1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1
[2,1,1,1] => [1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0] => [2,1] => 1
[1,1,1,3] => [1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1
[1,1,3,1] => [1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1
[1,3,1,1] => [1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1
[3,1,1,1] => [1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0] => [3,1] => 1
[1,1,1,4] => [1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0
[1,1,4,1] => [1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0
[1,4,1,1] => [1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0
[4,1,1,1] => [1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0] => [1,1] => 0
[1,1,2,2] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[1,2,1,2] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[1,2,2,1] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[2,1,1,2] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[2,1,2,1] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[2,2,1,1] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0] => [2,1,1] => 1
[1,1,2,3] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,1,3,2] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,2,1,3] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,2,3,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,3,1,2] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,3,2,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[2,1,1,3] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[2,1,3,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[2,3,1,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[3,1,1,2] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[3,1,2,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[3,2,1,1] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [3,2,1] => 2
[1,1,2,4] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,1,4,2] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,2,1,4] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,2,4,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,4,1,2] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,4,2,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[2,1,1,4] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[2,1,4,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[2,4,1,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[4,1,1,2] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[4,1,2,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[4,2,1,1] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [2,2,1] => 1
[1,1,3,3] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[1,3,1,3] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[1,3,3,1] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[3,1,1,3] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[3,1,3,1] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[3,3,1,1] => [1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [3,1,1] => 1
[1,1,3,4] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,1,4,3] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,3,1,4] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,3,4,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,4,1,3] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,4,3,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[3,1,1,4] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[3,1,4,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[3,4,1,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[4,1,1,3] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[4,1,3,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[4,3,1,1] => [1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0] => [1,1,1] => 0
[1,2,2,2] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0] => [2] => 0
[2,1,2,2] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0] => [2] => 0
[2,2,1,2] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0] => [2] => 0
[2,2,2,1] => [1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0] => [2] => 0
[1,2,2,3] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[1,2,3,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[1,3,2,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,1,2,3] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,1,3,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,2,1,3] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,2,3,1] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,3,1,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[2,3,2,1] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[3,1,2,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[3,2,1,2] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[3,2,2,1] => [1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0] => [3,2] => 1
[1,2,2,4] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[1,2,4,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[1,4,2,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,1,2,4] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,1,4,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,2,1,4] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,2,4,1] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,4,1,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[2,4,2,1] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[4,1,2,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[4,2,1,2] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[4,2,2,1] => [1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [2,2] => 0
[1,2,3,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[1,3,2,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[1,3,3,2] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[2,1,3,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
>>> Load all 17370 entries. <<<
[2,3,1,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[2,3,3,1] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,1,2,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,1,3,2] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,2,1,3] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,2,3,1] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,3,1,2] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[3,3,2,1] => [1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0] => [3] => 0
[1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [2,1] => 1
[1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0] => [3,1] => 1
[1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0] => [4,1] => 1
[1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0
[1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0
[1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0
[1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0
[5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1] => 0
[1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [2,1,1] => 1
[1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0] => [3,2,1] => 2
[1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [4,2,1] => 2
[1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0] => [2,2,1] => 1
[1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0] => [3,1,1] => 1
[1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [4,3,1] => 2
[1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [3,3,1] => 1
[1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0] => [4,1,1] => 1
[1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0] => [1,1,1] => 0
[1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => 1
[1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => 2
[1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => 2
[1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => 1
[1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => 2
[1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => 3
[1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => 2
[1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => 2
[1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => 1
[1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => 1
[1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => 2
[1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => 1
[1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => 1
[1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => 0
[1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0
[2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0
[2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0
[2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0
[2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [2] => 0
[1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0] => [3,2] => 1
[1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [4,2] => 1
[1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0] => [2,2] => 0
[1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0] => [3,2,2] => 1
[1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [4,3,2] => 2
[1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [3,3,2] => 1
[1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [4,2,2] => 1
[1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0] => [2,2,2] => 0
[1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0] => [3] => 0
[1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [4,3] => 1
[1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [3,3] => 0
[1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0] => [4] => 0
[1,1,1,1,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[1,1,1,1,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[1,1,1,2,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[1,1,2,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[1,2,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[2,1,1,1,1,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => 1
[1,1,1,1,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[1,1,1,1,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[1,1,1,3,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[1,1,3,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[1,3,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[3,1,1,1,1,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => 1
[1,1,1,1,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[1,1,1,1,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[1,1,1,4,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[1,1,4,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[1,4,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[4,1,1,1,1,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => 1
[1,1,1,1,1,5] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[1,1,1,1,5,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[1,1,1,5,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[1,1,5,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[1,5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => 1
[1,1,1,1,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[1,1,1,1,6,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[1,1,1,6,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[1,1,6,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[1,6,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[6,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => 0
[1,1,1,1,2,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,1,2,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,1,2,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,2,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,2,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,2,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,2,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,2,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,2,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,2,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[2,1,1,1,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[2,1,1,1,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[2,1,1,2,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[2,1,2,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[2,2,1,1,1,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => 1
[1,1,1,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,2,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,2,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,2,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,3,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,3,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,3,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,2,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,2,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,2,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,2,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,3,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,3,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,3,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,3,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[2,1,1,1,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[2,1,1,1,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[2,1,1,3,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[2,1,3,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[2,3,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[3,1,1,1,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[3,1,1,1,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[3,1,1,2,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[3,1,2,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[3,2,1,1,1,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => 2
[1,1,1,1,2,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,1,4,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,2,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,2,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,4,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,4,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,2,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,2,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,2,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,4,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,4,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,4,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,2,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,2,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,2,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,2,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,4,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,4,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,4,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,4,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[2,1,1,1,1,4] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[2,1,1,1,4,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[2,1,1,4,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[2,1,4,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[2,4,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[4,1,1,1,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[4,1,1,1,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[4,1,1,2,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[4,1,2,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[4,2,1,1,1,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => 2
[1,1,1,1,2,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,1,5,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,2,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,2,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,5,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,5,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,2,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,2,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,2,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,5,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,5,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,5,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,2,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,2,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,2,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,2,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,5,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,5,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,5,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,5,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[2,1,1,1,1,5] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[2,1,1,1,5,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[2,1,1,5,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[2,1,5,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[2,5,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[5,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[5,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[5,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[5,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[5,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => 2
[1,1,1,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,1,6,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,2,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,6,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,6,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,2,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,2,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,2,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,6,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,6,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,6,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,2,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,2,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,2,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,2,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,6,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,6,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,6,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,6,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[2,1,1,1,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[2,1,1,1,6,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[2,1,1,6,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[2,1,6,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[2,6,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[6,1,1,1,1,2] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[6,1,1,1,2,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[6,1,1,2,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[6,1,2,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[6,2,1,1,1,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => 1
[1,1,1,1,3,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,1,3,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,1,3,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,3,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,3,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,3,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,3,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,3,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,3,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,3,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[3,1,1,1,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[3,1,1,1,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[3,1,1,3,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[3,1,3,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[3,3,1,1,1,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => 1
[1,1,1,1,3,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,1,4,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,3,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,3,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,4,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,4,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,3,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,3,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,3,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,4,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,4,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,4,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,3,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,3,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,3,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,3,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,4,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,4,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,4,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,4,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[3,1,1,1,1,4] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[3,1,1,1,4,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[3,1,1,4,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[3,1,4,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[3,4,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[4,1,1,1,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[4,1,1,1,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[4,1,1,3,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[4,1,3,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[4,3,1,1,1,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => 2
[1,1,1,1,3,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,1,5,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,3,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,3,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,5,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,5,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,3,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,3,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,3,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,5,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,5,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,5,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,3,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,3,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,3,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,3,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,5,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,5,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,5,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,5,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[3,1,1,1,1,5] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[3,1,1,1,5,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[3,1,1,5,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[3,1,5,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[3,5,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[5,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[5,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[5,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[5,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[5,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => 2
[1,1,1,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,1,6,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,3,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,6,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,6,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,3,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,3,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,3,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,6,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,6,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,6,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,3,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,3,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,3,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,3,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,6,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,6,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,6,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,6,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[3,1,1,1,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[3,1,1,1,6,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[3,1,1,6,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[3,1,6,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[3,6,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[6,1,1,1,1,3] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[6,1,1,1,3,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[6,1,1,3,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[6,1,3,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[6,3,1,1,1,1] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => 1
[1,1,1,1,4,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,1,4,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,1,4,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,4,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,4,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,4,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,4,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,4,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,4,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,4,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[4,1,1,1,1,4] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[4,1,1,1,4,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[4,1,1,4,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[4,1,4,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[4,4,1,1,1,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => 1
[1,1,1,1,4,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,1,5,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,4,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,4,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,5,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,5,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,4,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,4,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,4,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,5,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,5,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,5,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,4,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,4,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,4,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,4,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,5,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,5,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,5,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,5,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[4,1,1,1,1,5] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[4,1,1,1,5,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[4,1,1,5,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[4,1,5,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[4,5,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[5,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[5,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[5,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[5,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[5,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => 2
[1,1,1,1,4,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,1,6,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,4,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,4,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,6,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,6,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,4,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,4,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,4,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,6,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,6,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,6,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,4,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,4,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,4,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,4,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,6,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,6,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,6,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,6,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[4,1,1,1,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[4,1,1,1,6,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[4,1,1,6,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[4,1,6,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[4,6,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[6,1,1,1,1,4] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[6,1,1,1,4,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[6,1,1,4,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[6,1,4,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[6,4,1,1,1,1] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => 1
[1,1,1,1,5,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,1,5,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,1,5,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,5,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,5,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,5,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,5,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,5,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,5,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,5,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[5,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[5,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[5,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[5,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[5,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => 1
[1,1,1,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,1,6,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,5,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,5,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,6,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,6,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,5,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,5,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,5,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,6,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,6,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,6,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,5,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,5,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,5,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,5,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,6,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,6,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,6,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,6,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[5,1,1,1,1,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[5,1,1,1,6,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[5,1,1,6,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[5,1,6,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[5,6,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[6,1,1,1,1,5] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[6,1,1,1,5,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[6,1,1,5,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[6,1,5,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[6,5,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => 0
[1,1,1,2,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,1,2,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,1,2,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,1,2,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,2,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,1,1,2,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,1,2,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,1,2,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,2,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,2,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,1,2,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,2,1,1,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,2,1,1,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,2,1,2,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[2,2,2,1,1,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => 1
[1,1,1,2,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,1,2,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,1,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,2,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,3,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,3,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,3,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,2,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,3,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,1,2,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,1,3,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,2,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,2,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,3,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,1,3,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,2,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,2,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,2,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,3,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,3,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,1,3,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,2,1,1,1,3] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,2,1,1,3,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,2,1,3,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,2,3,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,3,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,3,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,3,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[2,3,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,1,1,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,1,2,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,1,2,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,2,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,2,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,1,2,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,2,1,1,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,2,1,1,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,2,1,2,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[3,2,2,1,1,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => 2
[1,1,1,2,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,1,2,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,1,4,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,2,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,4,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,4,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,4,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,2,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,4,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,1,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,1,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,2,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,2,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,4,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,1,4,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,2,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,2,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,2,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,4,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,4,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,1,4,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,2,1,1,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,2,1,1,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,2,1,4,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,2,4,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,4,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,4,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,4,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[2,4,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,1,1,2,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,1,2,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,1,2,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,2,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,2,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,1,2,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,2,1,1,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,2,1,1,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,2,1,2,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[4,2,2,1,1,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => 2
[1,1,1,2,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,1,2,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,1,5,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,2,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,5,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,5,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,5,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,2,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,5,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,1,2,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,1,5,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,2,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,2,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,5,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,1,5,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,2,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,2,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,2,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,5,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,5,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,1,5,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,2,1,1,1,5] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,2,1,1,5,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,2,1,5,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,2,5,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,5,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,5,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,5,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[2,5,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[5,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => 2
[1,1,1,2,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,1,2,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,1,6,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,2,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,6,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,6,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,6,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,2,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,6,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,1,6,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,2,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,6,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,1,6,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,2,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,2,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,2,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,6,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,6,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,1,6,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,2,1,1,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,2,1,1,6,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,2,1,6,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,2,6,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,6,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,6,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,6,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[2,6,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,1,1,2,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,1,2,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,1,2,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,2,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,2,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,1,2,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,2,1,1,1,2] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,2,1,1,2,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,2,1,2,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[6,2,2,1,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => 1
[1,1,1,2,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,1,3,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,1,3,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,2,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,2,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,2,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,3,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,2,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,3,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,1,1,3,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,1,3,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,1,3,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,3,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,3,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,1,3,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,3,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,3,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,3,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[2,3,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,1,2,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,1,3,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,2,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,2,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,3,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,1,3,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,2,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,2,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,2,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,3,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,3,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,1,3,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,2,1,1,1,3] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,2,1,1,3,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,2,1,3,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,2,3,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,3,1,1,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,3,1,1,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,3,1,2,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[3,3,2,1,1,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => 2
[1,1,1,2,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,2,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,3,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,3,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,4,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,4,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,2,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,3,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,4,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,2,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,3,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,4,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,1,3,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,1,4,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,3,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,3,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,4,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,1,4,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,3,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,3,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,3,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,4,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,4,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,1,4,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,3,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,3,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,3,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,3,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,4,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,4,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,4,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[2,4,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,1,2,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,1,4,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,2,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,2,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,4,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,1,4,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,2,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,2,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,2,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,4,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,4,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,1,4,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,2,1,1,1,4] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,2,1,1,4,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,2,1,4,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,2,4,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,4,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,4,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,4,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[3,4,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,1,2,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,1,3,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,2,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,2,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,3,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,1,3,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,2,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,2,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,2,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,3,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,3,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,1,3,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,2,1,1,1,3] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,2,1,1,3,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,2,1,3,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,2,3,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,3,1,1,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,3,1,1,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,3,1,2,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[4,3,2,1,1,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => 3
[1,1,1,2,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,2,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,3,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,3,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,5,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,5,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,2,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,3,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,5,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,2,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,3,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,5,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,1,3,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,1,5,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,3,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,3,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,5,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,1,5,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,3,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,3,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,3,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,5,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,5,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,1,5,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,3,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,3,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,3,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,3,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,5,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,5,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,5,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[2,5,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,1,2,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,1,5,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,2,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,2,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,5,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,1,5,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,2,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,2,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,2,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,5,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,5,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,1,5,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,2,1,1,1,5] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,2,1,1,5,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,2,1,5,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,2,5,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,5,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,5,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,5,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[3,5,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[5,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => 3
[1,1,1,2,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,2,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,3,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,3,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,6,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,6,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,2,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,3,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,6,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,2,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,3,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,6,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,1,3,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,1,6,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,3,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,3,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,6,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,1,6,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,3,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,3,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,3,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,6,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,6,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,1,6,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,3,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,3,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,3,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,3,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,6,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,6,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,6,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[2,6,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,1,6,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,2,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,6,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,1,6,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,2,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,2,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,2,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,6,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,6,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,1,6,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,2,1,1,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,2,1,1,6,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,2,1,6,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,2,6,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,6,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,6,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,6,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[3,6,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,1,2,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,1,3,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,2,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,2,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,3,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,1,3,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,2,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,2,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,2,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,3,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,3,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,1,3,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,2,1,1,1,3] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,2,1,1,3,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,2,1,3,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,2,3,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,3,1,1,1,2] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,3,1,1,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,3,1,2,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[6,3,2,1,1,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => 2
[1,1,1,2,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,1,4,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,1,4,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,2,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,2,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,2,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,4,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,2,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,4,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,1,1,4,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,1,4,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,1,4,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,4,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,4,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,1,4,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,4,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,4,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,4,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[2,4,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,1,2,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,1,4,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,2,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,2,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,4,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,1,4,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,2,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,2,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,2,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,4,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,4,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,1,4,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,2,1,1,1,4] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,2,1,1,4,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,2,1,4,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,2,4,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,4,1,1,1,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,4,1,1,2,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,4,1,2,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[4,4,2,1,1,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => 2
[1,1,1,2,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,2,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,4,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,4,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,5,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,5,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,2,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,4,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,5,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,2,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,4,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,5,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,1,4,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,1,5,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,4,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,4,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,5,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,1,5,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,4,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,4,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,4,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,5,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,5,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,1,5,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,4,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,4,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,4,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,4,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,5,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,5,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,5,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[2,5,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,1,2,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,1,5,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,2,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,2,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,5,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,1,5,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,2,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,2,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,2,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,5,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,5,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,1,5,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,2,1,1,1,5] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,2,1,1,5,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,2,1,5,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,2,5,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,5,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,5,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,5,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[4,5,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[5,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => 3
[1,1,1,2,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,2,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,4,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,4,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,6,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,6,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,2,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,4,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,6,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,2,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,4,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,6,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,1,4,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,1,6,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,4,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,4,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,6,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,1,6,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,4,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,4,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,4,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,6,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,6,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,1,6,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,4,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,4,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,4,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,4,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,6,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,6,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,6,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[2,6,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,1,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,1,6,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,2,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,2,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,6,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,1,6,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,2,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,2,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,2,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,6,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,6,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,1,6,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,2,1,1,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,2,1,1,6,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,2,1,6,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,2,6,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,6,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,6,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,6,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[4,6,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,1,2,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,1,4,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,2,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,2,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,4,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,1,4,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,2,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,2,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,2,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,4,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,4,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,1,4,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,2,1,1,1,4] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,2,1,1,4,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,2,1,4,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,2,4,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,4,1,1,1,2] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,4,1,1,2,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,4,1,2,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[6,4,2,1,1,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => 2
[1,1,1,2,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,1,5,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,1,5,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,2,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,2,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,2,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,5,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,2,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,5,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,1,1,5,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,1,5,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,1,5,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,5,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,5,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,1,5,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,5,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,5,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,5,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[2,5,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[5,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => 2
[1,1,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,2,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,5,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,5,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,6,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,6,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,2,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,5,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,6,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,2,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,5,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,6,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,1,6,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,5,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,5,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,6,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,1,6,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,5,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,5,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,5,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,6,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,6,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,1,6,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,5,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,5,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,5,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,5,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,6,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,6,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,6,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[2,6,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,1,2,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,1,6,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,2,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,2,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,6,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,1,6,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,2,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,2,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,2,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,6,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,6,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,1,6,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,2,1,1,1,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,2,1,1,6,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,2,1,6,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,2,6,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,6,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,6,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,6,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[5,6,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,1,2,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,1,5,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,2,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,2,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,5,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,1,5,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,2,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,2,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,2,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,5,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,5,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,1,5,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,2,1,1,1,5] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,2,1,1,5,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,2,1,5,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,2,5,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,5,1,1,1,2] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,5,1,1,2,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,5,1,2,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[6,5,2,1,1,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => 1
[1,1,1,3,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,1,3,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,1,3,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,1,3,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,3,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,1,1,3,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,1,3,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,1,3,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,3,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,3,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,1,3,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,3,1,1,1,3] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,3,1,1,3,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,3,1,3,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[3,3,3,1,1,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => 1
[1,1,1,3,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,1,3,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,1,4,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,3,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,4,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,4,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,4,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,3,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,4,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,1,3,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,1,4,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,3,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,3,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,4,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,1,4,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,3,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,3,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,3,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,4,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,4,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,1,4,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,3,1,1,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,3,1,1,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,3,1,4,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,3,4,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,4,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,4,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,4,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[3,4,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,1,1,3,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,1,3,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,1,3,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,3,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,3,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,1,3,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,3,1,1,1,3] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,3,1,1,3,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,3,1,3,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[4,3,3,1,1,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => 2
[1,1,1,3,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,1,3,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,1,5,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,3,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,5,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,5,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,5,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,3,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,5,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,1,3,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,1,5,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,3,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,3,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,5,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,1,5,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,3,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,3,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,3,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,5,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,5,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,1,5,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,3,1,1,1,5] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,3,1,1,5,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,3,1,5,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,3,5,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,5,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,5,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,5,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[3,5,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[5,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => 2
[1,1,1,3,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,1,3,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,1,6,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,3,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,6,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,6,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,6,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,3,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,6,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,1,3,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,1,6,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,3,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,3,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,6,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,1,6,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,3,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,3,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,3,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,6,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,6,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,1,6,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,3,1,1,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,3,1,1,6,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,3,1,6,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,3,6,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,6,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,6,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,6,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[3,6,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,1,1,3,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,1,3,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,1,3,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,3,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,3,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,1,3,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,3,1,1,1,3] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,3,1,1,3,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,3,1,3,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[6,3,3,1,1,1] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => 1
[1,1,1,3,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,1,4,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,1,4,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,3,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,3,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,3,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,4,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,3,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,4,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,1,1,4,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,1,4,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,1,4,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,4,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,4,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,1,4,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,4,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,4,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,4,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[3,4,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,1,3,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,1,4,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,3,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,3,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,4,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,1,4,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,3,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,3,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,3,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,4,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,4,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,1,4,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,3,1,1,1,4] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,3,1,1,4,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,3,1,4,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,3,4,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,4,1,1,1,3] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,4,1,1,3,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,4,1,3,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[4,4,3,1,1,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => 2
[1,1,1,3,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,3,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,4,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,4,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,5,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,5,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,3,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,4,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,5,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,3,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,4,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,5,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,1,4,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,1,5,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,4,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,4,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,5,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,1,5,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,4,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,4,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,4,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,5,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,5,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,1,5,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,4,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,4,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,4,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,4,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,5,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,5,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,5,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[3,5,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,1,3,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,1,5,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,3,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,3,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,5,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,1,5,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,3,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,3,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,3,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,5,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,5,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,1,5,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,3,1,1,1,5] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,3,1,1,5,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,3,1,5,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,3,5,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,5,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,5,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,5,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[4,5,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[5,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => 3
[1,1,1,3,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,3,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,4,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,4,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,6,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,6,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,3,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,4,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,6,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,3,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,4,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,6,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,1,4,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,1,6,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,4,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,4,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,6,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,1,6,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,4,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,4,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,4,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,6,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,6,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,1,6,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,4,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,4,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,4,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,4,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,6,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,6,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,6,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[3,6,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,1,3,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,1,6,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,3,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,3,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,6,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,1,6,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,3,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,3,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,3,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,6,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,6,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,1,6,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,3,1,1,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,3,1,1,6,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,3,1,6,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,3,6,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,6,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,6,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,6,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[4,6,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,1,3,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,1,4,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,3,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,3,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,4,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,1,4,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,3,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,3,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,3,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,4,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,4,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,1,4,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,3,1,1,1,4] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,3,1,1,4,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,3,1,4,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,3,4,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,4,1,1,1,3] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,4,1,1,3,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,4,1,3,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[6,4,3,1,1,1] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => 2
[1,1,1,3,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,1,5,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,1,5,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,3,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,3,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,3,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,5,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,3,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,5,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,1,1,5,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,1,5,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,1,5,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,5,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,5,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,1,5,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,5,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,5,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,5,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[3,5,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[5,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => 2
[1,1,1,3,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,3,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,5,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,5,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,6,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,6,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,3,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,5,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,6,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,3,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,5,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,6,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,1,6,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,5,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,5,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,6,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,1,6,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,5,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,5,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,5,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,6,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,6,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,1,6,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,5,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,5,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,5,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,5,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,6,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,6,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,6,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[3,6,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,1,3,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,1,6,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,3,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,3,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,6,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,1,6,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,3,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,3,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,3,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,6,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,6,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,1,6,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,3,1,1,1,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,3,1,1,6,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,3,1,6,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,3,6,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,6,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,6,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,6,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[5,6,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,1,3,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,1,5,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,3,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,3,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,5,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,1,5,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,3,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,3,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,3,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,5,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,5,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,1,5,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,3,1,1,1,5] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,3,1,1,5,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,3,1,5,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,3,5,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,5,1,1,1,3] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,5,1,1,3,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,5,1,3,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[6,5,3,1,1,1] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => 1
[1,1,1,4,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,1,4,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,1,4,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,1,4,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,4,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,1,1,4,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,1,4,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,1,4,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,4,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,4,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,1,4,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,4,1,1,1,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,4,1,1,4,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,4,1,4,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[4,4,4,1,1,1] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => 1
[1,1,1,4,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,1,4,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,1,5,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,4,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,5,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,5,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,5,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,4,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,5,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,1,4,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,1,5,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,4,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,4,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,5,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,1,5,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,4,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,4,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,4,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,5,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,5,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,1,5,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,4,1,1,1,5] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,4,1,1,5,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,4,1,5,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,4,5,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,5,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,5,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,5,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[4,5,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[5,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => 2
[1,1,1,4,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,1,4,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,1,6,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,4,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,6,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,6,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,6,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,4,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,6,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,1,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,1,6,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,4,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,4,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,6,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,1,6,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,4,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,4,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,4,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,6,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,6,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,1,6,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,4,1,1,1,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,4,1,1,6,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,4,1,6,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,4,6,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,6,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,6,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,6,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[4,6,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,1,1,4,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,1,4,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,1,4,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,4,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,4,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,1,4,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,4,1,1,1,4] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,4,1,1,4,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,4,1,4,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[6,4,4,1,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => 1
[1,1,1,4,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,1,5,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,1,5,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,4,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,4,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,4,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,5,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,4,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,5,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,1,1,5,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,1,5,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,1,5,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,5,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,5,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,1,5,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,5,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,5,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,5,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[4,5,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[5,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => 1
[1,1,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,1,4,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,1,5,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,1,5,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,1,6,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,1,6,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,4,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,5,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,6,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,4,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,5,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,6,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,1,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,1,6,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,5,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,5,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,6,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,1,6,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,5,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,5,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,5,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,6,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,6,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,1,6,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,5,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,5,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,5,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,5,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,6,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,6,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,6,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[4,6,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,1,4,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,1,6,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,4,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,4,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,6,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,1,6,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,4,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,4,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,4,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,6,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,6,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,1,6,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,4,1,1,1,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,4,1,1,6,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,4,1,6,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,4,6,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,6,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,6,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,6,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[5,6,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,1,4,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,1,5,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,4,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,4,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,5,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,1,5,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,4,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,4,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,4,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,5,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,5,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,1,5,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,4,1,1,1,5] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,4,1,1,5,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,4,1,5,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,4,5,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,5,1,1,1,4] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,5,1,1,4,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,5,1,4,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[6,5,4,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => 0
[1,1,2,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[1,2,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[1,2,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[1,2,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[1,2,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,1,1,2,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,1,2,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,1,2,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,1,2,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,1,1,2,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,1,2,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,1,2,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,2,1,1,2] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,2,1,2,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[2,2,2,2,1,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => 1
[1,1,2,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,1,2,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,1,2,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,1,3,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,2,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,3,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,3,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,3,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,3,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,1,2,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,1,2,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,1,3,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,2,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,3,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,3,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,1,3,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,1,2,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,1,3,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,2,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,2,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,3,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,1,3,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,2,1,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,2,1,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,2,3,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,3,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,3,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,2,3,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[2,3,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,1,1,2,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,1,2,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,1,2,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,1,2,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,1,1,2,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,1,2,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,1,2,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,2,1,1,2] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,2,1,2,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[3,2,2,2,1,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => 2
[1,1,2,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,1,2,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,1,2,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,1,4,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,2,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,4,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,4,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,4,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,4,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,1,2,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,1,2,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,1,4,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,2,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,4,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,4,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,1,4,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,1,2,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,1,4,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,2,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,2,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,4,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,1,4,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,2,1,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,2,1,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,2,4,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,4,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,4,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,2,4,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[2,4,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,1,1,2,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,1,2,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,1,2,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,1,2,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,1,1,2,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,1,2,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,1,2,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,2,1,1,2] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,2,1,2,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[4,2,2,2,1,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => 2
[1,1,2,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,1,2,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,1,2,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,1,5,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,2,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,5,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,5,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,5,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,5,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,1,2,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,1,2,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,1,5,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,2,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,5,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,5,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,1,5,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,1,2,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,1,5,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,2,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,2,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,5,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,1,5,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,2,1,1,5] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,2,1,5,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,2,5,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,5,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,5,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,2,5,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[2,5,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[5,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => 2
[1,1,2,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,1,2,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,1,2,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,1,6,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,2,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,6,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,6,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,6,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,6,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,1,2,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,1,2,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,1,6,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,2,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,6,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,6,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,1,6,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,1,2,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,1,6,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,2,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,2,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,6,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,1,6,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,2,1,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,2,1,6,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,2,6,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,6,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,6,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,2,6,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[2,6,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,1,1,2,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,1,2,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,1,2,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,1,2,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,1,1,2,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,1,2,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,1,2,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,2,1,1,2] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,2,1,2,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[6,2,2,2,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => 1
[1,1,2,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,2,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,2,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,3,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,3,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,3,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,2,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,3,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,1,2,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,1,3,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,1,3,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,2,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,2,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,2,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,1,3,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,1,1,3,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,1,3,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,1,3,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,3,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,3,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,2,3,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[2,3,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,1,2,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,1,2,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,1,3,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,2,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,3,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,3,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,1,3,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,1,2,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,1,3,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,2,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,2,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,3,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,1,3,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,2,1,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,2,1,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,2,3,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,3,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,3,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,2,3,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,1,1,2,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,1,2,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,1,2,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,2,1,1,2] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,2,1,2,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[3,3,2,2,1,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => 2
[1,1,2,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,3,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,3,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,3,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,4,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,4,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,4,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,2,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,3,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,4,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,2,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,2,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,3,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,3,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,4,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,1,4,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,2,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,3,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,1,4,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,1,3,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,1,4,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,3,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,3,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,4,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,1,4,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,3,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,3,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,3,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,4,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,4,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,2,4,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,3,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[2,4,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,1,2,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,1,2,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,1,4,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,2,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,4,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,4,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,1,4,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,1,2,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,1,4,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,2,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,2,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,4,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,1,4,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,2,1,1,4] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,2,1,4,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,2,4,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,4,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,4,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,2,4,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[3,4,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,1,2,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,1,2,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,1,3,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,2,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,3,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,3,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,1,3,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,1,2,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,1,3,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,2,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,2,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,3,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,1,3,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,2,1,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,2,1,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,2,3,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,3,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,3,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,2,3,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,1,1,2,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,1,2,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,1,2,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,2,1,1,2] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,2,1,2,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[4,3,2,2,1,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => 3
[1,1,2,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,3,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,3,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,3,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,5,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,5,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,5,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,2,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,3,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,5,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,2,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,2,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,3,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,3,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,5,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,1,5,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,2,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,3,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,1,5,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,1,3,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,1,5,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,3,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,3,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,5,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,1,5,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,3,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,3,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,3,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,5,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,5,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,2,5,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,3,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[2,5,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,1,2,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,1,2,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,1,5,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,2,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,5,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,5,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,1,5,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,1,2,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,1,5,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,2,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,2,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,5,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,1,5,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,2,1,1,5] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,2,1,5,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,2,5,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,5,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,5,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,2,5,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[3,5,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[5,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => 3
[1,1,2,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,3,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,3,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,3,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,6,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,6,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,6,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,2,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,3,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,6,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,2,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,2,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,3,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,3,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,6,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,1,6,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,2,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,3,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,1,6,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,1,6,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,3,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,6,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,1,6,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,3,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,3,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,3,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,6,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,6,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,2,6,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,3,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[2,6,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,1,2,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,1,2,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,1,6,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,2,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,6,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,6,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,1,6,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,1,2,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,1,6,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,2,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,2,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,6,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,1,6,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,2,1,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,2,1,6,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,2,6,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,6,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,6,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,2,6,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[3,6,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,1,2,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,1,2,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,1,3,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,2,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,3,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,3,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,1,3,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,1,2,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,1,3,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,2,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,2,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,3,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,1,3,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,2,1,1,3] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,2,1,3,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,2,3,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,3,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,3,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,2,3,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,1,1,2,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,1,2,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,1,2,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,2,1,1,2] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,2,1,2,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[6,3,2,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => 2
[1,1,2,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,2,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,2,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,4,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,4,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,4,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,2,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,4,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,1,2,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,1,4,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,1,4,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,2,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,2,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,2,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,1,4,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,1,1,4,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,1,4,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,1,4,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,4,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,4,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,2,4,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[2,4,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,1,2,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,1,2,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,1,4,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,2,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,4,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,4,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,1,4,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,1,2,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,1,4,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,2,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,2,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,4,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,1,4,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,2,1,1,4] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,2,1,4,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,2,4,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,4,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,4,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,2,4,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,1,1,2,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,1,2,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,1,2,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,2,1,1,2] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,2,1,2,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[4,4,2,2,1,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => 2
[1,1,2,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,4,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,4,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,4,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,5,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,5,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,5,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,2,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,4,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,5,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,2,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,2,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,4,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,4,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,5,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,1,5,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,2,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,4,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,1,5,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,1,4,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,1,5,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,4,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,4,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,5,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,1,5,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,4,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,4,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,4,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,5,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,5,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,2,5,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,4,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[2,5,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,1,2,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,1,2,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,1,5,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,2,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,5,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,5,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,1,5,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,1,2,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,1,5,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,2,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,2,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,5,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,1,5,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,2,1,1,5] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,2,1,5,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,2,5,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,5,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,5,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,2,5,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[4,5,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[5,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => 3
[1,1,2,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,4,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,4,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,4,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,6,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,6,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,6,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,2,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,4,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,6,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,2,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,2,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,4,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,4,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,6,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,1,6,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,2,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,4,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,1,6,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,1,4,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,1,6,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,4,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,4,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,6,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,1,6,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,4,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,4,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,4,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,6,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,6,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,2,6,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,4,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[2,6,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,1,2,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,1,2,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,1,6,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,2,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,6,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,6,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,1,6,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,1,2,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,1,6,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,2,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,2,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,6,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,1,6,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,2,1,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,2,1,6,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,2,6,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,6,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,6,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,2,6,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[4,6,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,1,2,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,1,2,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,1,4,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,2,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,4,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,4,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,1,4,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,1,2,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,1,4,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,2,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,2,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,4,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,1,4,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,2,1,1,4] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,2,1,4,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,2,4,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,4,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,4,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,2,4,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,1,1,2,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,1,2,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,1,2,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,2,1,1,2] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,2,1,2,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[6,4,2,2,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => 2
[1,1,2,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,2,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,2,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,5,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,5,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,5,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,2,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,5,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,1,2,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,1,5,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,1,5,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,2,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,2,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,2,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,1,5,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,1,1,5,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,1,5,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,1,5,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,5,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,5,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,2,5,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[2,5,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[5,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => 2
[1,1,2,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,5,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,5,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,5,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,6,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,6,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,6,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,2,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,5,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,6,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,2,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,2,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,5,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,5,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,6,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,1,6,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,2,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,5,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,1,6,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,1,6,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,5,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,5,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,6,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,1,6,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,5,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,5,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,5,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,6,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,6,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,2,6,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,5,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[2,6,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,1,2,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,1,2,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,1,6,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,2,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,6,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,6,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,1,6,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,1,2,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,1,6,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,2,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,2,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,6,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,1,6,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,2,1,1,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,2,1,6,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,2,6,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,6,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,6,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,2,6,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[5,6,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,1,2,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,1,2,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,1,5,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,2,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,5,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,5,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,1,5,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,1,2,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,1,5,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,2,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,2,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,5,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,1,5,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,2,1,1,5] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,2,1,5,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,2,5,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,5,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,5,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,2,5,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,1,1,2,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,1,2,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,1,2,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,2,1,1,2] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,2,1,2,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[6,5,2,2,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => 1
[1,1,2,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,1,3,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,1,3,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,1,3,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,2,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,2,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,2,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,2,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,3,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,1,1,3,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,1,3,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,1,3,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,1,3,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[2,3,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,1,2,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,1,3,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,1,3,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,2,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,2,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,2,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,1,3,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,1,1,3,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,1,3,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,1,3,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,3,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,3,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,2,3,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,1,2,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,1,3,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,2,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,2,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,3,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,1,3,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,2,1,1,3] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,2,1,3,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,2,3,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,3,1,1,2] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,3,1,2,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[3,3,3,2,1,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => 2
[1,1,2,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,2,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,2,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,3,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,4,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,4,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,4,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,2,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,3,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,4,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,1,3,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,1,3,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,1,4,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,3,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,4,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,4,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,1,4,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,3,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[2,4,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,2,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,2,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,3,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,3,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,4,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,1,4,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,2,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,3,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,1,4,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,1,3,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,1,4,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,3,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,3,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,4,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,1,4,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,3,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,3,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,3,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,4,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,4,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,2,4,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,1,2,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,1,4,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,2,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,2,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,4,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,1,4,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,2,1,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,2,1,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,2,4,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,4,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,4,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,3,4,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[3,4,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,1,2,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,1,3,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,1,3,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,2,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,2,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,2,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,1,3,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,1,1,3,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,1,3,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,1,3,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,3,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,3,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,2,3,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,1,2,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,1,3,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,2,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,2,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,3,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,1,3,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,2,1,1,3] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,2,1,3,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,2,3,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,3,1,1,2] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,3,1,2,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[4,3,3,2,1,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => 3
[1,1,2,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,2,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,2,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,3,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,5,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,5,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,5,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,2,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,3,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,5,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,1,3,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,1,3,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,1,5,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,3,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,5,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,5,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,1,5,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,3,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[2,5,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,2,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,2,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,3,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,3,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,5,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,1,5,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,2,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,3,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,1,5,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,1,3,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,1,5,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,3,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,3,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,5,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,1,5,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,3,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,3,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,3,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,5,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,5,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,2,5,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,1,2,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,1,5,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,2,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,2,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,5,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,1,5,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,2,1,1,5] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,2,1,5,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,2,5,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,5,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,5,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,3,5,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[3,5,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[5,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => 3
[1,1,2,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,2,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,2,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,3,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,6,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,6,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,6,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,2,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,3,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,6,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,1,3,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,1,3,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,1,6,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,3,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,6,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,6,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,1,6,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,3,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[2,6,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,2,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,2,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,3,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,3,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,6,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,1,6,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,2,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,3,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,1,6,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,1,3,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,1,6,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,3,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,3,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,6,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,1,6,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,3,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,3,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,3,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,6,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,6,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,2,6,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,1,2,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,1,6,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,2,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,2,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,6,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,1,6,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,2,1,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,2,1,6,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,2,6,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,6,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,6,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,3,6,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[3,6,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,1,2,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,1,3,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,1,3,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,2,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,2,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,2,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,1,3,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,1,1,3,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,1,3,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,1,3,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,3,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,3,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,2,3,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,1,2,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,1,3,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,2,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,2,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,3,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,1,3,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,2,1,1,3] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,2,1,3,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,2,3,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,3,1,1,2] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,3,1,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[6,3,3,2,1,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => 2
[1,1,2,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,2,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,2,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,3,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,3,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,3,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,4,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,2,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,3,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,4,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,1,3,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,1,4,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,1,4,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,3,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,3,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,3,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,1,4,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,3,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[2,4,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,1,2,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,1,4,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,1,4,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,2,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,2,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,2,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,1,4,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,1,1,4,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,1,4,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,1,4,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,4,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,4,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,2,4,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[3,4,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,2,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,2,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,3,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,3,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,4,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,1,4,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,2,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,3,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,1,4,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,1,3,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,1,4,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,3,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,3,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,4,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,1,4,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,3,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,3,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,3,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,4,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,4,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,2,4,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,1,2,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,1,4,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,2,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,2,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,4,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,1,4,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,2,1,1,4] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,2,1,4,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,2,4,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,4,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,4,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,3,4,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,1,2,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,1,3,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,2,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,2,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,3,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,1,3,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,2,1,1,3] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,2,1,3,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,2,3,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,3,1,1,2] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,3,1,2,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[4,4,3,2,1,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => 3
[1,1,2,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,3,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,4,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,5,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,2,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,3,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,4,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,5,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,3,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,3,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,4,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,4,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,5,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,1,5,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,3,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,4,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,1,5,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,3,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,4,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[2,5,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,2,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,2,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,4,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,4,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,5,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,1,5,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,2,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,4,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,1,5,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,1,4,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,1,5,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,4,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,4,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,5,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,1,5,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,4,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,4,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,4,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,5,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,5,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,2,5,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,4,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[3,5,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,2,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,2,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,3,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,3,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,5,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,1,5,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,2,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,3,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,1,5,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,1,3,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,1,5,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,3,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,3,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,5,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,1,5,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,3,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,3,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,3,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,5,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,5,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,2,5,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,1,2,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,1,5,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,2,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,2,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,5,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,1,5,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,2,1,1,5] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,2,1,5,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,2,5,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,5,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,5,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,3,5,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[4,5,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[5,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 4
[1,1,2,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,3,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,4,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,6,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,2,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,3,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,4,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,6,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,3,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,3,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,4,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,4,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,6,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,1,6,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,3,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,4,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,1,6,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,3,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,4,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[2,6,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,2,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,2,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,4,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,4,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,6,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,1,6,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,2,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,4,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,1,6,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,1,4,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,1,6,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,4,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,4,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,6,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,1,6,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,4,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,4,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,4,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,6,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,6,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,2,6,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,4,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[3,6,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,2,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,2,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,3,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,3,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,6,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,1,6,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,2,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,3,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,1,6,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,1,3,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,1,6,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,3,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,3,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,6,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,1,6,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,3,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,3,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,3,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,6,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,6,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,2,6,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,1,2,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,1,6,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,2,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,2,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,6,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,1,6,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,2,1,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,2,1,6,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,2,6,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,6,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,6,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,3,6,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[4,6,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,2,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,2,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,3,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,3,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,4,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,1,4,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,2,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,3,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,1,4,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,1,3,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,1,4,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,3,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,3,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,4,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,1,4,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,3,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,3,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,3,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,4,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,4,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,2,4,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,1,2,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,1,4,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,2,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,2,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,4,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,1,4,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,2,1,1,4] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,2,1,4,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,2,4,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,4,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,4,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,3,4,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,1,2,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,1,3,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,2,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,2,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,3,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,1,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,2,1,1,3] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,2,1,3,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,2,3,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,3,1,1,2] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,3,1,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[6,4,3,2,1,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => 3
[1,1,2,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,2,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,2,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,3,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,3,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,3,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,5,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,2,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,3,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,5,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,1,3,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,1,5,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,1,5,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,3,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,3,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,3,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,1,5,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,3,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[2,5,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,1,2,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,1,5,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,1,5,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,2,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,2,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,2,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,1,5,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,1,1,5,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,1,5,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,1,5,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,5,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,5,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,2,5,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[3,5,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[5,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => 3
[1,1,2,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,3,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,5,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,6,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,2,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,3,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,5,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,6,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,3,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,3,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,5,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,5,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,6,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,1,6,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,3,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,5,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,1,6,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,3,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,5,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[2,6,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,2,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,2,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,5,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,5,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,6,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,1,6,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,2,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,5,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,1,6,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,1,6,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,5,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,5,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,6,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,1,6,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,5,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,5,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,5,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,6,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,6,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,2,6,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,5,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[3,6,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,2,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,2,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,3,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,3,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,6,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,1,6,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,2,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,3,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,1,6,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,1,3,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,1,6,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,3,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,3,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,6,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,1,6,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,3,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,3,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,3,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,6,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,6,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,2,6,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,1,2,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,1,6,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,2,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,2,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,6,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,1,6,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,2,1,1,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,2,1,6,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,2,6,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,6,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,6,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,3,6,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[5,6,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,2,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,2,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,3,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,3,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,5,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,1,5,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,2,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,3,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,1,5,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,1,3,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,1,5,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,3,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,3,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,5,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,1,5,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,3,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,3,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,3,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,5,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,5,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,2,5,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,1,2,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,1,5,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,2,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,2,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,5,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,1,5,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,2,1,1,5] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,2,1,5,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,2,5,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,5,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,5,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,3,5,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,1,2,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,1,3,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,2,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,2,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,3,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,1,3,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,2,1,1,3] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,2,1,3,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,2,3,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,3,1,1,2] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,3,1,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[6,5,3,2,1,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => 2
[1,1,2,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,1,4,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,1,4,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,1,4,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,2,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,2,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,2,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,2,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,4,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,1,1,4,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,1,4,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,1,4,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,1,4,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[2,4,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,1,2,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,1,4,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,1,4,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,2,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,2,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,2,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,1,4,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,1,1,4,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,1,4,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,1,4,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,4,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,4,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,2,4,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,1,2,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,1,4,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,2,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,2,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,4,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,1,4,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,2,1,1,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,2,1,4,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,2,4,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,4,1,1,2] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,4,1,2,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[4,4,4,2,1,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => 2
[1,1,2,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,2,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,2,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,4,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,5,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,5,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,5,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,2,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,4,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,5,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,1,4,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,1,4,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,1,5,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,4,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,5,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,5,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,1,5,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,4,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[2,5,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,2,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,2,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,4,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,4,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,5,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,1,5,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,2,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,4,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,1,5,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,1,4,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,1,5,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,4,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,4,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,5,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,1,5,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,4,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,4,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,4,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,5,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,5,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,2,5,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,1,2,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,1,5,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,2,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,2,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,5,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,1,5,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,2,1,1,5] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,2,1,5,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,2,5,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,5,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,5,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,4,5,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[4,5,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[5,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => 3
[1,1,2,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,2,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,2,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,4,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,6,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,6,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,6,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,2,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,4,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,6,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,1,4,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,1,4,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,1,6,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,4,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,6,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,6,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,1,6,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,4,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[2,6,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,2,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,2,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,4,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,4,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,6,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,1,6,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,2,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,4,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,1,6,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,1,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,1,6,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,4,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,4,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,6,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,1,6,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,4,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,4,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,4,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,6,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,6,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,2,6,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,1,2,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,1,6,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,2,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,2,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,6,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,1,6,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,2,1,1,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,2,1,6,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,2,6,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,6,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,6,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,4,6,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[4,6,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,1,2,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,1,4,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,1,4,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,2,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,2,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,2,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,1,4,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,1,1,4,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,1,4,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,1,4,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,4,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,4,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,2,4,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,1,2,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,1,4,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,2,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,2,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,4,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,1,4,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,2,1,1,4] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,2,1,4,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,2,4,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,4,1,1,2] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,4,1,2,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[6,4,4,2,1,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => 2
[1,1,2,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,2,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,2,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,4,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,4,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,4,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,5,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,2,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,4,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,5,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,1,4,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,1,5,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,1,5,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,4,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,4,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,4,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,1,5,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,4,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[2,5,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,1,2,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,1,5,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,1,5,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,2,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,2,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,2,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,1,5,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,1,1,5,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,1,5,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,1,5,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,5,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,5,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,2,5,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[4,5,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[5,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => 2
[1,1,2,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,2,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,2,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,2,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,2,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,2,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,4,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,5,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,6,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,2,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,4,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,5,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,6,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,4,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,5,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,5,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,6,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,1,6,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,4,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,5,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,1,6,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,4,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,5,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[2,6,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,2,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,2,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,5,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,5,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,6,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,1,6,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,2,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,5,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,1,6,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,1,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,1,6,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,5,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,5,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,6,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,1,6,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,5,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,5,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,5,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,6,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,6,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,2,6,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,5,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[4,6,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,2,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,2,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,4,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,4,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,6,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,1,6,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,2,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,4,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,1,6,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,1,4,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,1,6,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,4,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,4,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,6,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,1,6,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,4,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,4,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,4,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,6,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,6,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,2,6,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,1,2,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,1,6,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,2,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,2,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,6,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,1,6,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,2,1,1,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,2,1,6,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,2,6,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,6,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,6,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,4,6,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[5,6,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,2,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,2,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,4,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,4,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,5,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,1,5,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,2,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,4,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,1,5,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,1,4,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,1,5,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,4,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,4,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,5,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,1,5,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,4,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,4,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,4,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,5,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,5,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,2,5,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,1,2,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,1,5,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,2,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,2,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,5,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,1,5,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,2,1,1,5] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,2,1,5,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,2,5,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,5,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,5,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,4,5,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,1,2,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,1,4,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,2,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,2,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,4,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,1,4,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,2,1,1,4] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,2,1,4,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,2,4,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,4,1,1,2] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,4,1,2,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[6,5,4,2,1,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => 1
[1,1,3,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[1,3,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[1,3,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[1,3,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[1,3,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,1,1,3,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,1,3,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,1,3,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,1,3,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,1,1,3,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,1,3,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,1,3,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,3,1,1,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,3,1,3,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[3,3,3,3,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => 1
[1,1,3,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,1,3,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,1,3,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,1,4,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,3,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,4,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,4,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,4,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,4,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,1,3,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,1,3,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,1,4,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,3,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,4,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,4,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,1,4,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,1,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,1,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,3,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,3,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,4,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,1,4,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,3,1,1,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,3,1,4,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,3,4,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,4,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,4,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,3,4,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[3,4,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,1,1,3,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,1,3,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,1,3,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,1,3,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,1,1,3,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,1,3,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,1,3,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,3,1,1,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,3,1,3,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[4,3,3,3,1,1] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => 2
[1,1,3,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,1,3,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,1,3,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,1,5,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,3,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,5,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,5,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,5,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,5,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,1,3,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,1,3,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,1,5,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,3,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,5,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,5,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,1,5,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,1,3,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,1,5,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,3,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,3,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,5,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,1,5,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,3,1,1,5] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,3,1,5,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,3,5,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,5,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,5,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,3,5,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[3,5,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[5,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => 2
[1,1,3,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,1,3,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,1,3,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,1,6,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,3,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,6,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,6,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,6,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,6,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,1,3,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,1,3,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,1,6,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,3,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,6,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,6,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,1,6,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,1,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,1,6,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,3,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,3,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,6,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,1,6,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,3,1,1,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,3,1,6,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,3,6,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,6,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,6,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,3,6,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[3,6,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,1,1,3,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,1,3,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,1,3,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,1,3,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,1,1,3,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,1,3,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,1,3,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,3,1,1,3] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,3,1,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[6,3,3,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => 1
[1,1,3,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,3,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,3,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,4,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,4,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,4,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,3,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,4,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,1,3,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,1,4,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,1,4,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,3,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,3,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,3,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,1,4,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,1,1,4,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,1,4,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,1,4,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,4,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,4,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,3,4,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[3,4,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,1,3,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,1,3,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,1,4,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,3,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,4,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,4,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,1,4,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,1,3,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,1,4,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,3,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,3,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,4,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,1,4,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,3,1,1,4] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,3,1,4,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,3,4,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,4,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,4,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,3,4,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,1,1,3,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,1,3,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,1,3,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,3,1,1,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,3,1,3,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[4,4,3,3,1,1] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => 2
[1,1,3,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,4,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,4,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,4,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,5,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,5,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,5,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,3,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,4,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,5,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,3,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,3,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,4,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,4,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,5,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,1,5,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,3,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,4,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,1,5,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,1,4,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,1,5,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,4,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,4,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,5,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,1,5,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,4,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,4,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,4,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,5,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,5,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,3,5,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,4,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[3,5,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,1,3,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,1,3,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,1,5,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,3,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,5,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,5,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,1,5,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,1,3,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,1,5,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,3,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,3,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,5,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,1,5,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,3,1,1,5] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,3,1,5,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,3,5,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,5,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,5,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,3,5,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[4,5,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[5,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => 3
[1,1,3,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,4,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,4,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,4,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,6,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,6,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,6,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,3,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,4,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,6,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,3,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,3,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,4,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,4,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,6,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,1,6,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,3,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,4,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,1,6,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,1,4,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,1,6,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,4,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,4,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,6,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,1,6,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,4,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,4,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,4,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,6,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,6,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,3,6,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,4,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[3,6,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,1,3,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,1,3,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,1,6,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,3,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,6,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,6,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,1,6,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,1,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,1,6,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,3,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,3,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,6,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,1,6,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,3,1,1,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,3,1,6,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,3,6,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,6,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,6,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,3,6,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[4,6,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,1,3,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,1,3,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,1,4,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,3,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,4,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,4,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,1,4,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,1,3,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,1,4,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,3,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,3,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,4,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,1,4,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,3,1,1,4] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,3,1,4,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,3,4,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,4,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,4,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,3,4,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,1,1,3,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,1,3,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,1,3,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,3,1,1,3] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,3,1,3,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[6,4,3,3,1,1] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => 2
[1,1,3,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,3,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,3,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,5,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,5,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,5,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,3,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,5,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,1,3,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,1,5,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,1,5,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,3,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,3,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,3,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,1,5,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,1,1,5,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,1,5,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,1,5,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,5,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,5,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,3,5,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[3,5,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[5,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => 2
[1,1,3,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,5,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,5,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,5,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,6,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,6,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,6,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,3,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,5,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,6,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,3,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,5,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,5,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,6,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,1,6,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,3,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,5,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,1,6,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,1,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,1,6,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,5,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,5,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,6,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,1,6,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,5,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,5,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,5,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,6,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,6,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,3,6,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,5,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[3,6,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,1,3,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,1,3,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,1,6,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,3,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,6,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,6,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,1,6,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,1,3,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,1,6,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,3,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,3,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,6,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,1,6,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,3,1,1,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,3,1,6,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,3,6,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,6,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,6,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,3,6,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[5,6,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,1,3,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,1,3,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,1,5,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,3,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,5,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,5,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,1,5,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,1,3,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,1,5,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,3,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,3,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,5,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,1,5,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,3,1,1,5] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,3,1,5,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,3,5,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,5,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,5,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,3,5,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,1,1,3,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,1,3,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,1,3,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,3,1,1,3] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,3,1,3,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[6,5,3,3,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => 1
[1,1,3,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,1,4,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,1,4,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,1,4,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,3,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,3,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,3,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,3,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,4,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,1,1,4,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,1,4,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,1,4,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,1,4,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[3,4,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,1,3,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,1,4,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,1,4,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,3,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,3,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,3,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,1,4,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,1,1,4,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,1,4,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,1,4,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,4,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,4,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,3,4,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,1,3,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,1,4,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,3,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,3,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,4,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,1,4,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,3,1,1,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,3,1,4,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,3,4,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,4,1,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,4,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[4,4,4,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => 1
[1,1,3,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,3,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,3,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,4,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,5,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,5,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,5,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,3,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,4,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,5,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,1,4,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,1,4,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,1,5,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,4,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,5,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,5,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,1,5,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,4,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[3,5,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,3,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,3,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,4,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,4,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,5,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,1,5,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,3,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,4,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,1,5,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,1,4,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,1,5,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,4,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,4,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,5,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,1,5,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,4,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,4,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,4,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,5,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,5,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,3,5,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,1,3,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,1,5,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,3,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,3,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,5,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,1,5,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,3,1,1,5] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,3,1,5,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,3,5,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,5,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,5,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,4,5,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[4,5,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[5,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => 2
[1,1,3,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,3,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,3,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,4,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,6,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,6,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,6,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,3,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,4,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,6,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,1,4,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,1,4,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,1,6,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,4,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,6,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,6,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,1,6,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,4,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[3,6,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,3,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,3,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,4,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,4,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,6,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,1,6,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,3,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,4,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,1,6,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,1,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,1,6,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,4,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,4,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,6,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,1,6,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,4,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,4,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,4,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,6,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,6,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,3,6,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,1,3,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,1,6,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,3,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,3,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,6,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,1,6,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,3,1,1,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,3,1,6,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,3,6,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,6,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,6,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,4,6,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[4,6,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,1,3,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,1,4,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,1,4,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,3,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,3,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,3,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,1,4,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,1,1,4,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,1,4,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,1,4,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,4,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,4,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,3,4,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,1,3,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,1,4,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,3,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,3,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,4,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,1,4,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,3,1,1,4] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,3,1,4,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,3,4,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,4,1,1,3] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,4,1,3,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[6,4,4,3,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => 1
[1,1,3,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,3,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,3,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,4,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,4,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,4,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,5,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,3,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,4,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,5,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,1,4,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,1,5,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,1,5,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,4,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,4,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,4,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,1,5,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,4,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[3,5,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,1,3,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,1,5,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,1,5,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,3,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,3,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,3,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,1,5,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,1,1,5,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,1,5,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,1,5,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,5,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,5,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,3,5,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[4,5,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[5,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => 1
[1,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,3,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,3,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,3,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,3,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,4,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,5,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,1,6,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,3,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,4,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,5,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,6,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,4,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,5,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,5,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,6,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,1,6,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,4,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,5,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,1,6,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,4,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,5,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[3,6,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,3,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,3,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,5,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,5,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,6,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,1,6,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,3,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,5,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,1,6,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,1,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,1,6,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,5,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,5,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,6,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,1,6,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,5,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,5,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,5,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,6,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,6,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,3,6,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,5,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[4,6,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,3,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,3,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,4,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,4,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,6,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,1,6,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,3,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,4,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,1,6,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,1,4,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,1,6,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,4,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,4,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,6,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,1,6,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,4,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,4,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,4,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,6,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,6,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,3,6,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,1,3,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,1,6,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,3,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,3,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,6,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,1,6,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,3,1,1,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,3,1,6,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,3,6,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,6,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,6,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,4,6,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[5,6,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,3,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,4,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,4,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,5,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,1,5,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,3,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,4,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,1,5,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,1,4,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,1,5,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,4,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,4,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,5,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,1,5,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,4,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,4,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,4,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,5,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,5,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,3,5,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,1,3,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,1,5,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,3,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,3,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,5,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,1,5,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,3,1,1,5] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,3,1,5,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,3,5,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,5,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,5,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,4,5,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,1,3,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,1,4,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,3,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,3,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,4,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,1,4,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,3,1,1,4] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,3,1,4,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,3,4,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,4,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,4,1,3,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[6,5,4,3,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => 0
[1,2,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[2,1,2,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[2,2,1,2,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[2,2,2,1,2,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[2,2,2,2,1,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[2,2,2,2,2,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [2] => 0
[1,2,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[1,2,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[1,2,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[1,2,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[1,3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,1,2,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,1,2,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,1,2,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,1,3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,1,2,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,1,2,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,1,3,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,1,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,1,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,2,1,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,2,3,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,3,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,2,3,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,3,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,3,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,2,3,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,3,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,3,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,3,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[2,3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[3,1,2,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[3,2,1,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[3,2,2,1,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[3,2,2,2,1,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[3,2,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => 1
[1,2,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[1,2,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[1,2,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[1,2,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[1,4,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,1,2,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,1,2,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,1,2,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,1,4,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,1,2,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,1,2,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,1,4,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,1,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,1,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,2,1,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,2,4,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,4,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,2,4,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,4,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,4,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,2,4,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,4,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,4,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,4,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[2,4,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[4,1,2,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[4,2,1,2,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[4,2,2,1,2,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[4,2,2,2,1,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[4,2,2,2,2,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => 1
[1,2,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[1,2,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[1,2,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[1,2,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[1,5,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,1,2,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,1,2,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,1,2,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,1,5,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,1,2,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,1,2,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,1,5,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,1,2,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,1,5,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,2,1,5] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,2,5,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,5,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,2,5,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,5,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,5,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,2,5,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,5,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,5,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,5,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[2,5,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[5,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[5,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[5,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[5,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[5,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => 1
[1,2,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[1,2,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[1,2,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[1,2,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[1,6,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,1,2,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,1,2,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,1,2,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,1,6,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,1,2,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,1,2,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,1,6,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,1,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,1,6,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,2,1,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,2,6,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,6,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,2,6,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,6,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,6,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,2,6,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,6,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,6,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,6,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[2,6,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[6,1,2,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[6,2,1,2,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[6,2,2,1,2,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[6,2,2,2,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[6,2,2,2,2,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => 0
[1,2,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,3,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,3,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,3,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,3,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,2,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,2,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,2,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,3,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,3,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,1,3,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,1,2,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,1,3,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,1,3,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,2,1,3,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,2,3,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,2,3,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,2,3,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[2,3,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,1,2,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,1,2,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,1,2,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,1,3,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,1,2,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,1,2,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,1,3,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,1,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,1,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,2,1,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,2,3,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,3,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,2,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,3,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,3,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,2,3,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,3,1,2,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,3,2,1,2,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,3,2,2,1,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[3,3,2,2,2,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => 1
[1,2,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,3,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,3,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,3,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,3,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,4,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,4,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,4,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,4,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,2,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,3,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,3,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,3,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,4,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,4,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,1,4,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,2,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,2,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,3,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,3,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,4,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,1,4,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,1,3,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,1,4,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,3,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,3,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,4,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,2,4,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,3,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,2,4,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,3,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[2,4,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,1,2,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,1,2,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,1,2,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,1,4,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,1,2,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,1,2,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,1,4,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,1,2,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,1,4,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,2,1,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,2,4,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,4,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,2,4,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,4,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,4,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,2,4,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,4,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,4,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,4,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[3,4,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,1,2,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,1,2,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,1,2,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,1,3,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,1,2,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,1,2,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,1,3,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,1,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,1,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,2,1,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,2,3,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,3,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,2,3,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,3,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,3,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,2,3,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,3,1,2,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,3,2,1,2,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,3,2,2,1,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[4,3,2,2,2,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => 2
[1,2,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,3,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,3,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,3,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,3,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,5,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,5,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,5,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,5,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,2,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,3,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,3,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,3,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,5,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,5,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,1,5,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,2,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,2,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,3,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,3,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,5,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,1,5,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,1,3,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,1,5,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,3,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,3,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,5,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,2,5,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,3,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,2,5,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,3,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[2,5,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,1,2,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,1,2,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,1,2,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,1,5,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,1,2,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,1,2,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,1,5,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,1,2,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,1,5,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,2,1,5] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,2,5,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,5,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,2,5,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,5,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,5,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,2,5,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,5,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,5,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,5,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[3,5,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[5,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => 2
[1,2,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,3,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,3,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,3,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,3,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,6,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,6,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,6,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,6,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,2,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,3,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,3,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,3,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,6,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,6,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,1,6,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,2,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,3,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,6,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,1,6,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,1,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,1,6,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,3,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,3,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,6,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,2,6,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,3,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,2,6,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,3,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[2,6,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,1,2,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,1,2,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,1,2,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,1,6,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,1,2,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,1,2,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,1,6,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,1,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,1,6,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,2,1,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,2,6,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,6,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,2,6,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,6,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,6,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,2,6,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,6,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,6,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,6,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[3,6,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,1,2,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,1,2,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,1,2,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,1,3,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,1,2,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,1,2,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,1,3,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,1,2,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,1,3,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,2,1,3] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,2,3,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,3,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,2,3,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,3,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,3,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,2,3,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,3,1,2,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,3,2,1,2,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,3,2,2,1,2] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[6,3,2,2,2,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => 1
[1,2,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,4,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,4,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,4,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,4,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,2,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,2,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,2,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,4,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,4,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,1,4,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,1,2,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,1,4,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,1,4,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,2,1,4,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,2,4,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,2,4,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,2,4,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[2,4,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,1,2,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,1,2,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,1,2,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,1,4,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,1,2,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,1,2,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,1,4,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,1,2,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,1,4,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,2,1,4] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,2,4,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,4,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,2,4,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,4,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,4,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,2,4,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,4,1,2,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,4,2,1,2,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,4,2,2,1,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[4,4,2,2,2,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => 1
[1,2,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,4,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,4,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,4,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,4,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,5,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,5,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,5,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,5,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,2,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,4,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,4,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,4,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,5,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,5,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,1,5,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,2,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,2,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,4,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,4,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,5,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,1,5,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,1,4,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,1,5,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,4,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,4,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,5,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,2,5,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,4,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,2,5,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,4,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[2,5,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,1,2,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,1,2,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,1,2,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,1,5,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,1,2,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,1,2,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,1,5,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,1,2,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,1,5,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,2,1,5] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,2,5,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,5,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,2,5,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,5,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,5,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,2,5,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,5,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,5,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,5,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[4,5,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[5,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => 2
[1,2,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,4,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,4,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,4,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,4,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,6,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,6,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,6,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,6,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,2,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,4,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,4,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,4,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,6,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,6,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,1,6,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,2,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,2,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,4,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,4,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,6,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,1,6,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,1,4,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,1,6,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,4,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,4,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,6,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,2,6,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,4,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,2,6,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,4,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[2,6,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,1,2,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,1,2,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,1,2,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,1,6,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,1,2,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,1,2,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,1,6,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,1,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,1,6,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,2,1,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,2,6,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,6,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,2,6,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,6,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,6,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,2,6,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,6,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,6,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,6,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[4,6,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,1,2,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,1,2,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,1,2,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,1,4,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,1,2,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,1,2,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,1,4,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,1,2,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,1,4,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,2,1,4] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,2,4,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,4,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,2,4,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,4,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,4,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,2,4,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,4,1,2,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,4,2,1,2,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,4,2,2,1,2] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[6,4,2,2,2,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => 1
[1,2,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,5,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,5,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,5,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,5,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,2,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,2,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,2,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,5,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,5,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,1,5,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,1,2,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,1,5,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,1,5,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,2,1,5,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,2,5,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,2,5,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,2,5,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[2,5,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[5,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => 1
[1,2,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,5,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,5,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,5,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,5,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,6,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,6,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,6,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,6,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,2,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,5,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,5,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,5,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,6,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,6,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,1,6,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,2,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,5,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,5,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,6,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,1,6,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,1,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,1,6,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,5,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,5,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,6,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,2,6,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,5,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,2,6,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,5,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[2,6,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,1,2,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,1,2,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,1,2,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,1,6,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,1,2,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,1,2,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,1,6,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,1,2,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,1,6,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,2,1,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,2,6,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,6,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,2,6,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,6,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,6,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,2,6,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,6,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,6,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,6,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[5,6,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,1,2,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,1,2,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,1,2,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,1,5,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,1,2,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,1,2,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,1,5,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,1,2,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,1,5,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,2,1,5] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,2,5,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,5,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,2,5,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,5,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,5,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,2,5,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,5,1,2,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,5,2,1,2,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,5,2,2,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[6,5,2,2,2,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => 0
[1,2,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,2,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,2,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,2,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,3,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,1,2,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,1,3,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,1,3,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,1,3,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,2,1,3,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,2,3,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,2,3,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,2,3,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[2,3,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,2,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,2,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,2,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,3,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,3,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,1,3,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,1,2,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,1,3,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,1,3,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,2,1,3,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,2,3,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,2,3,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,2,3,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,1,2,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,1,2,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,1,3,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,1,2,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,1,3,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,2,1,3] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,2,3,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,3,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,2,3,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,3,1,2,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,3,2,1,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[3,3,3,2,2,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => 1
[1,2,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,3,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,4,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,2,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,2,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,2,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,3,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,4,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,4,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,1,4,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,1,3,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,1,3,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,1,4,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,3,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,4,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,4,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,2,4,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,3,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[2,4,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,2,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,3,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,3,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,3,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,4,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,4,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,1,4,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,2,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,2,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,3,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,3,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,4,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,1,4,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,1,3,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,1,4,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,3,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,3,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,4,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,2,4,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,3,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,2,4,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,1,2,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,1,2,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,1,4,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,1,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,1,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,2,1,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,2,4,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,4,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,2,4,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,4,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,4,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,3,4,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[3,4,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,2,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,2,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,2,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,3,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,3,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,1,3,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,1,2,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,1,3,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,1,3,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,2,1,3,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,2,3,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,2,3,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,2,3,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,1,2,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,1,2,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,1,3,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,1,2,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,1,3,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,2,1,3] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,2,3,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,3,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,2,3,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,3,1,2,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,3,2,1,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[4,3,3,2,2,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => 2
[1,2,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,3,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,5,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,2,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,2,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,2,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,3,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,5,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,5,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,1,5,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,1,3,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,1,3,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,1,5,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,3,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,5,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,5,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,2,5,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,3,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[2,5,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,2,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,3,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,3,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,3,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,5,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,5,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,1,5,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,2,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,2,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,3,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,3,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,5,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,1,5,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,1,3,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,1,5,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,3,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,3,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,5,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,2,5,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,3,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,2,5,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,1,2,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,1,2,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,1,5,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,1,2,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,1,5,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,2,1,5] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,2,5,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,5,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,2,5,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,5,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,5,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,3,5,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[3,5,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[5,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => 2
[1,2,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,3,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,6,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,2,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,2,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,2,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,3,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,6,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,6,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,1,6,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,1,3,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,1,3,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,1,6,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,3,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,6,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,6,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,2,6,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,3,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[2,6,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,2,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,3,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,3,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,3,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,6,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,6,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,1,6,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,2,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,2,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,3,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,3,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,6,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,1,6,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,1,3,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,1,6,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,3,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,3,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,6,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,2,6,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,3,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,2,6,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,1,2,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,1,2,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,1,6,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,1,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,1,6,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,2,1,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,2,6,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,6,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,2,6,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,6,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,6,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,3,6,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[3,6,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,2,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,2,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,2,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,3,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,3,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,1,3,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,1,2,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,1,3,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,1,3,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,2,1,3,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,2,3,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,2,3,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,2,3,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,1,2,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,1,2,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,1,3,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,1,2,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,1,3,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,2,1,3] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,2,3,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,3,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,2,3,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,3,1,2,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,3,2,1,2] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[6,3,3,2,2,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => 1
[1,2,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,3,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,4,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,2,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,2,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,2,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,3,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,3,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,3,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,1,4,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,1,3,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,1,4,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,1,4,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,3,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,3,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,3,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,2,4,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,3,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[2,4,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,2,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,2,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,2,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,4,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,4,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,1,4,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,1,2,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,1,4,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,1,4,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,2,1,4,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,2,4,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,2,4,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,2,4,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[3,4,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,2,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,3,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,3,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,3,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,4,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,4,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,1,4,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,2,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,2,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,3,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,3,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,4,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,1,4,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,1,3,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,1,4,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,3,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,3,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,4,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,2,4,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,3,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,2,4,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,1,2,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,1,2,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,1,4,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,1,2,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,1,4,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,2,1,4] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,2,4,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,4,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,2,4,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,4,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,4,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,3,4,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,1,2,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,1,2,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,1,3,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,1,2,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,1,3,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,2,1,3] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,2,3,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,3,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,2,3,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,3,1,2,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,3,2,1,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[4,4,3,2,2,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => 2
[1,2,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,3,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,4,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,5,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,2,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,3,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,4,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,1,5,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,3,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,3,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,4,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,4,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,5,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,1,5,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,3,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,4,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,2,5,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,3,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,4,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[2,5,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,2,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,4,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,4,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,4,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,5,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,5,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,1,5,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,2,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,2,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,4,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,4,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,5,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,1,5,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,1,4,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,1,5,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,4,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,4,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,5,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,2,5,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,4,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,2,5,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,4,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[3,5,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,2,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,3,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,3,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,3,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,5,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,5,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,1,5,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,2,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,2,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,3,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,3,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,5,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,1,5,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,1,3,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,1,5,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,3,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,3,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,5,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,2,5,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,3,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,2,5,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,1,2,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,1,2,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,1,5,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,1,2,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,1,5,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,2,1,5] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,2,5,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,5,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,2,5,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,5,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,5,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,3,5,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[4,5,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[5,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => 3
[1,2,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,3,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,4,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,6,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,2,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,3,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,4,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,1,6,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,3,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,3,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,4,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,4,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,6,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,1,6,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,3,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,4,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,2,6,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,3,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,4,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[2,6,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,2,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,4,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,4,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,4,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,6,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,6,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,1,6,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,2,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,2,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,4,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,4,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,6,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,1,6,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,1,4,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,1,6,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,4,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,4,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,6,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,2,6,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,4,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,2,6,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,4,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[3,6,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,2,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,3,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,3,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,3,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,6,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,6,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,1,6,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,2,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,2,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,3,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,3,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,6,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,1,6,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,1,3,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,1,6,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,3,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,3,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,6,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,2,6,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,3,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,2,6,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,1,2,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,1,2,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,1,6,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,1,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,1,6,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,2,1,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,2,6,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,6,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,2,6,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,6,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,6,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,3,6,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[4,6,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,2,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,3,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,3,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,3,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,4,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,4,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,1,4,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,2,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,2,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,3,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,3,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,4,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,1,4,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,1,3,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,1,4,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,3,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,3,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,4,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,2,4,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,3,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,2,4,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,1,2,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,1,2,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,1,4,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,1,2,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,1,4,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,2,1,4] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,2,4,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,4,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,2,4,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,4,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,4,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,3,4,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,1,2,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,1,2,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,1,3,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,1,2,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,1,3,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,2,1,3] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,2,3,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,3,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,2,3,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,3,1,2,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,3,2,1,2] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[6,4,3,2,2,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => 2
[1,2,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,3,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,5,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,2,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,2,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,2,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,3,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,3,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,3,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,1,5,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,1,3,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,1,5,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,1,5,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,3,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,3,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,3,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,2,5,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,3,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[2,5,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,2,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,2,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,2,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,5,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,5,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,1,5,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,1,2,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,1,5,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,1,5,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,2,1,5,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,2,5,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,2,5,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,2,5,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[3,5,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[5,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => 2
[1,2,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,3,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,5,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,6,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,2,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,3,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,5,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,1,6,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,3,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,3,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,5,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,5,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,6,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,1,6,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,3,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,5,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,2,6,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,3,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,5,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[2,6,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,2,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,5,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,5,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,5,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,6,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,6,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,1,6,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,2,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,5,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,5,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,6,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,1,6,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,1,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,1,6,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,5,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,5,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,6,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,2,6,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,5,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,2,6,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,5,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[3,6,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,2,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,3,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,3,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,3,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,6,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,6,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,1,6,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,2,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,2,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,3,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,3,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,6,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,1,6,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,1,3,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,1,6,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,3,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,3,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,6,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,2,6,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,3,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,2,6,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,1,2,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,1,2,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,1,6,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,1,2,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,1,6,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,2,1,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,2,6,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,6,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,2,6,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,6,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,6,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,3,6,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[5,6,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,2,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,3,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,3,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,3,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,5,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,5,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,1,5,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,2,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,2,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,3,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,3,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,5,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,1,5,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,1,3,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,1,5,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,3,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,3,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,5,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,2,5,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,3,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,2,5,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,1,2,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,1,2,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,1,5,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,1,2,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,1,5,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,2,1,5] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,2,5,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,5,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,2,5,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,5,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,5,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,3,5,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,1,2,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,1,2,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,1,3,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,1,2,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,1,3,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,2,1,3] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,2,3,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,3,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,2,3,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,3,1,2,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,3,2,1,2] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[6,5,3,2,2,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => 1
[1,2,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,2,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,2,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,2,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,4,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,1,2,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,1,4,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,1,4,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,1,4,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,2,1,4,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,2,4,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,2,4,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,2,4,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[2,4,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,2,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,2,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,2,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,4,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,4,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,1,4,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,1,2,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,1,4,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,1,4,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,2,1,4,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,2,4,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,2,4,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,2,4,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,1,2,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,1,2,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,1,4,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,1,2,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,1,4,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,2,1,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,2,4,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,4,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,2,4,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,4,1,2,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,4,2,1,2] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[4,4,4,2,2,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => 1
[1,2,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,4,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,5,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,2,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,2,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,2,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,4,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,5,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,5,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,1,5,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,1,4,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,1,4,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,1,5,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,4,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,5,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,5,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,2,5,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,4,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[2,5,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,2,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,4,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,4,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,4,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,5,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,5,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,1,5,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,2,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,2,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,4,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,4,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,5,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,1,5,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,1,4,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,1,5,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,4,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,4,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,5,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,2,5,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,4,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,2,5,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,1,2,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,1,2,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,1,5,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,1,2,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,1,5,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,2,1,5] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,2,5,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,5,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,2,5,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,5,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,5,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,4,5,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[4,5,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[5,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => 2
[1,2,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,4,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,6,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,2,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,2,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,2,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,4,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,6,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,6,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,1,6,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,1,4,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,1,4,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,1,6,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,4,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,6,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,6,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,2,6,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,4,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[2,6,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,2,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,4,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,4,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,4,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,6,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,6,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,1,6,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,2,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,2,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,4,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,4,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,6,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,1,6,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,1,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,1,6,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,4,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,4,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,6,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,2,6,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,4,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,2,6,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,1,2,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,1,2,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,1,6,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,1,2,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,1,6,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,2,1,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,2,6,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,6,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,2,6,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,6,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,6,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,4,6,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[4,6,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,2,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,2,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,2,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,4,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,4,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,1,4,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,1,2,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,1,4,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,1,4,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,2,1,4,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,2,4,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,2,4,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,2,4,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,1,2,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,1,2,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,1,4,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,1,2,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,1,4,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,2,1,4] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,2,4,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,4,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,2,4,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,4,1,2,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,4,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[6,4,4,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => 1
[1,2,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,4,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,5,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,2,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,2,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,2,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,4,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,4,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,4,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,1,5,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,1,4,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,1,5,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,1,5,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,4,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,4,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,4,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,2,5,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,4,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[2,5,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,2,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,2,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,2,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,5,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,5,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,1,5,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,1,2,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,1,5,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,1,5,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,2,1,5,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,2,5,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,2,5,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,2,5,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[4,5,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[5,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => 1
[1,2,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,4,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,5,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,6,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,2,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,4,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,5,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,1,6,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,4,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,5,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,5,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,6,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,1,6,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,4,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,5,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,2,6,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,4,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,5,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[2,6,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,2,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,5,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,5,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,5,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,6,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,6,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,1,6,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,2,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,2,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,5,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,5,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,6,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,1,6,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,1,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,1,6,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,5,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,5,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,6,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,2,6,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,5,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,2,6,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,5,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[4,6,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,2,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,4,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,4,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,4,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,6,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,6,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,1,6,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,2,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,2,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,4,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,4,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,6,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,1,6,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,1,4,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,1,6,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,4,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,4,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,6,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,2,6,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,4,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,2,6,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,1,2,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,1,2,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,1,6,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,1,2,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,1,6,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,2,1,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,2,6,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,6,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,2,6,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,6,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,6,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,4,6,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[5,6,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,2,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,4,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,4,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,4,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,5,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,5,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,1,5,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,2,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,2,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,4,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,4,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,5,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,1,5,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,1,4,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,1,5,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,4,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,4,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,5,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,2,5,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,4,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,2,5,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,1,2,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,1,2,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,1,5,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,1,2,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,1,5,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,2,1,5] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,2,5,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,5,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,2,5,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,5,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,5,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,4,5,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,1,2,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,1,2,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,1,4,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,1,2,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,1,4,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,2,1,4] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,2,4,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,4,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,2,4,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,4,1,2,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,4,2,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[6,5,4,2,2,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => 0
[1,2,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[1,3,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[1,3,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[1,3,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[1,3,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[2,1,3,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[2,3,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[2,3,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[2,3,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[2,3,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,1,2,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,1,3,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,1,3,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,1,3,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,2,1,3,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,2,3,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,2,3,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,2,3,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,1,2,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,1,3,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,1,3,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,2,1,3,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,2,3,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,2,3,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,1,2,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,1,3,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,2,1,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,2,3,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,3,1,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[3,3,3,3,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [3] => 0
[1,2,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,2,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,2,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,2,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,3,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,4,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,4,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,4,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,4,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,1,3,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,1,3,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,1,3,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,1,4,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,3,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,4,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,4,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,4,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[2,4,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,2,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,2,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,2,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,3,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,4,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,4,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,1,4,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,1,3,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,1,3,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,1,4,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,3,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,4,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,4,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,2,4,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,2,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,2,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,3,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,3,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,4,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,1,4,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,1,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,1,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,3,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,3,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,4,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,2,4,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,1,2,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,1,4,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,2,1,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,2,4,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,4,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,3,4,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,3,4,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[3,4,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,1,2,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,1,3,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,1,3,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,1,3,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,2,1,3,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,2,3,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,2,3,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,2,3,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,1,2,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,1,3,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,1,3,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,2,1,3,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,2,3,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,2,3,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,1,2,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,1,3,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,2,1,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,2,3,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,3,1,2] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[4,3,3,3,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => 1
[1,2,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,2,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,2,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,2,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,3,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,5,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,5,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,5,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,5,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,1,3,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,1,3,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,1,3,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,1,5,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,3,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,5,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,5,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,5,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[2,5,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,2,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,2,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,2,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,3,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,5,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,5,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,1,5,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,1,3,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,1,3,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,1,5,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,3,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,5,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,5,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,2,5,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,2,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,2,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,3,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,3,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,5,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,1,5,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,1,3,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,1,5,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,3,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,3,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,5,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,2,5,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,1,2,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,1,5,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,2,1,5] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,2,5,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,5,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,3,5,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,3,5,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[3,5,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[5,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => 1
[1,2,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,2,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,2,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,2,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,3,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,6,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,6,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,6,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,6,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,1,3,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,1,3,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,1,3,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,1,6,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,3,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,6,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,6,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,6,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[2,6,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,2,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,2,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,2,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,3,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,6,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,6,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,1,6,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,1,3,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,1,3,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,1,6,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,3,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,6,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,6,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,2,6,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,2,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,2,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,3,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,3,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,6,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,1,6,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,1,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,1,6,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,3,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,3,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,6,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,2,6,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,1,2,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,1,6,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,2,1,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,2,6,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,6,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,3,6,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,3,6,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[3,6,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,1,2,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,1,3,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,1,3,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,1,3,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,2,1,3,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,2,3,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,2,3,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,2,3,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,1,2,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,1,3,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,1,3,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,2,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,2,3,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,2,3,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,1,2,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,2,1,3] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,2,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[6,3,3,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => 0
[1,2,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,3,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,4,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,3,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,3,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,3,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,4,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,4,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,1,4,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,3,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[2,4,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,2,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,2,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,2,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,3,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,3,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,3,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,1,4,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,1,3,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,1,4,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,1,4,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,3,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,3,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,3,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,2,4,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,1,2,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,1,4,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,1,4,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,2,1,4,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,2,4,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,2,4,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,3,4,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[3,4,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,2,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,2,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,2,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,3,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,4,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,4,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,1,4,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,1,3,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,1,3,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,1,4,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,3,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,4,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,4,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,2,4,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,2,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,2,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,3,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,3,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,4,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,1,4,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,1,3,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,1,4,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,3,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,3,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,4,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,2,4,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,1,2,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,1,4,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,2,1,4] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,2,4,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,4,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,3,4,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,3,4,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,1,2,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,1,3,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,1,3,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,2,1,3,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,2,3,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,2,3,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,1,2,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,1,3,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,2,1,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,2,3,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,3,1,2] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[4,4,3,3,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => 1
[1,2,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,3,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,4,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,5,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,3,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,4,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,4,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,4,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,5,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,5,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,1,5,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,3,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,4,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[2,5,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,2,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,3,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,4,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,1,5,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,3,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,3,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,4,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,4,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,5,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,1,5,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,3,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,4,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,2,5,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,2,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,2,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,4,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,4,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,5,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,1,5,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,1,4,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,1,5,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,4,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,4,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,5,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,2,5,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,4,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,3,5,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,4,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[3,5,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,2,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,2,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,2,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,3,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,5,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,5,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,1,5,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,1,3,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,1,3,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,1,5,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,3,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,5,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,5,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,2,5,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,2,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,2,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,3,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,3,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,5,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,1,5,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,1,3,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,1,5,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,3,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,3,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,5,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,2,5,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,1,2,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,1,5,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,2,1,5] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,2,5,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,5,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,3,5,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,3,5,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[4,5,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[5,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => 2
[1,2,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,3,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,4,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,6,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,3,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,4,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,4,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,4,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,6,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,6,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,1,6,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,3,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,4,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[2,6,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,2,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,3,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,4,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,1,6,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,3,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,3,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,4,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,4,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,6,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,1,6,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,3,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,4,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,2,6,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,2,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,2,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,4,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,4,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,6,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,1,6,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,1,4,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,1,6,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,4,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,4,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,6,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,2,6,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,4,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,3,6,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,4,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[3,6,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,2,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,2,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,2,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,3,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,6,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,6,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,1,6,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,1,3,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,1,3,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,1,6,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,3,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,6,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,6,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,2,6,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,2,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,2,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,3,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,3,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,6,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,1,6,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,1,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,1,6,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,3,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,3,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,6,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,2,6,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,1,2,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,1,6,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,2,1,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,2,6,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,6,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,3,6,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,3,6,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[4,6,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,2,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,2,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,2,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,3,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,4,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,4,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,1,4,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,1,3,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,1,3,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,1,4,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,3,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,4,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,4,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,2,4,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,2,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,2,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,3,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,3,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,4,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,1,4,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,1,3,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,1,4,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,3,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,3,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,4,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,2,4,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,1,2,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,1,4,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,2,1,4] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,2,4,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,4,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,3,4,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,3,4,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,1,2,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,1,3,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,1,3,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,2,1,3,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,2,3,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,2,3,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,1,2,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,1,3,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,2,1,3] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,2,3,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,3,1,2] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[6,4,3,3,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => 1
[1,2,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,3,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,5,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,3,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,3,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,3,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,5,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,5,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,1,5,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,3,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[2,5,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,2,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,2,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,2,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,3,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,3,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,3,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,1,5,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,1,3,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,1,5,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,1,5,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,3,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,3,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,3,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,2,5,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,1,2,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,1,5,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,1,5,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,2,1,5,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,2,5,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,2,5,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,3,5,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[3,5,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[5,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => 1
[1,2,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,3,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,5,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,6,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,3,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,5,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,5,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,5,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,6,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,6,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,1,6,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,3,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,5,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[2,6,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,2,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,3,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,5,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,1,6,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,3,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,5,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,5,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,6,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,1,6,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,3,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,5,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,2,6,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,2,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,2,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,5,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,5,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,6,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,1,6,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,1,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,1,6,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,5,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,5,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,6,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,2,6,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,5,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,3,6,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,5,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[3,6,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,2,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,2,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,2,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,3,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,6,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,6,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,1,6,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,1,3,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,1,3,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,1,6,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,3,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,6,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,6,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,2,6,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,2,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,2,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,3,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,3,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,6,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,1,6,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,1,3,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,1,6,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,3,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,3,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,6,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,2,6,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,1,2,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,1,6,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,2,1,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,2,6,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,6,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,3,6,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,3,6,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[5,6,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,2,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,2,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,2,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,3,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,5,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,5,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,1,5,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,1,3,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,1,3,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,1,5,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,3,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,5,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,5,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,2,5,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,2,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,2,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,3,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,3,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,5,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,1,5,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,1,3,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,1,5,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,3,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,3,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,5,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,2,5,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,1,2,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,1,5,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,2,1,5] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,2,5,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,5,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,3,5,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,3,5,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,1,2,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,1,3,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,1,3,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,2,1,3,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,2,3,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,2,3,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,1,2,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,1,3,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,2,3,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,3,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[6,5,3,3,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => 0
[1,2,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,2,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,2,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,2,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,3,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,3,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,3,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,3,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,4,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,1,3,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,1,4,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,1,4,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,1,4,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,3,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,3,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,3,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,3,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[2,4,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,1,2,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,1,4,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,1,4,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,1,4,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,2,1,4,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,2,4,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,2,4,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,2,4,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[3,4,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,2,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,2,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,2,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,3,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,3,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,3,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,1,4,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,1,3,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,1,4,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,1,4,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,3,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,3,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,3,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,2,4,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,1,2,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,1,4,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,1,4,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,2,1,4,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,2,4,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,2,4,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,3,4,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,2,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,2,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,3,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,3,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,4,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,1,4,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,1,3,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,1,4,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,3,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,3,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,4,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,2,4,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,1,2,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,1,4,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,2,1,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,2,4,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,4,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,3,4,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,1,2,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,2,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,2,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,3,1,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[4,4,4,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [4] => 0
[1,2,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,3,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,4,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,5,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,3,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,3,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,3,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,4,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,5,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,5,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,1,5,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,3,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,4,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[2,5,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,2,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,2,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,2,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,4,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,5,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,5,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,1,5,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,1,4,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,1,4,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,1,5,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,4,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,5,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,5,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,2,5,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,4,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[3,5,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,2,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,3,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,4,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,1,5,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,3,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,3,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,4,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,4,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,5,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,1,5,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,3,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,4,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,2,5,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,2,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,2,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,4,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,4,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,5,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,1,5,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,1,4,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,1,5,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,4,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,4,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,5,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,2,5,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,4,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,3,5,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,2,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,2,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,3,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,3,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,5,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,1,5,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,1,3,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,1,5,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,3,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,3,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,5,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,2,5,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,1,2,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,1,5,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,2,1,5] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,2,5,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,5,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,3,5,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,4,5,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[4,5,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[5,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => 1
[1,2,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,3,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,4,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,6,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,3,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,3,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,3,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,4,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,6,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,6,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,1,6,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,3,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,4,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[2,6,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,2,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,2,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,2,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,4,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,6,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,6,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,1,6,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,1,4,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,1,4,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,1,6,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,4,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,6,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,6,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,2,6,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,4,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[3,6,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,2,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,3,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,4,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,1,6,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,3,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,3,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,4,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,4,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,6,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,1,6,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,3,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,4,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,2,6,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,2,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,2,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,4,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,4,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,6,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,1,6,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,1,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,1,6,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,4,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,4,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,6,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,2,6,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,4,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,3,6,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,2,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,2,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,3,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,3,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,6,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,1,6,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,1,3,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,1,6,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,3,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,3,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,6,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,2,6,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,1,2,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,1,6,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,2,1,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,2,6,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,6,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,3,6,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,4,6,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[4,6,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,2,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,2,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,2,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,3,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,3,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,3,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,1,4,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,1,3,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,1,4,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,1,4,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,3,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,3,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,3,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,2,4,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,1,2,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,1,4,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,1,4,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,2,1,4,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,2,4,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,2,4,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,3,4,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,2,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,2,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,3,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,3,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,4,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,1,4,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,1,3,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,1,4,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,3,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,3,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,4,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,2,4,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,1,2,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,1,4,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,2,1,4] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,2,4,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,4,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,3,4,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,1,3,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,2,1,3] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,2,3,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,3,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[6,4,4,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => 0
[1,2,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,2,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,3,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,4,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[1,5,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,3,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,3,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,3,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,4,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,4,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,4,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,1,5,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,3,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,4,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[2,5,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,2,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,2,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,2,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,4,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,4,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,4,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,1,5,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,1,4,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,1,5,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,1,5,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,4,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,4,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,4,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,2,5,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,4,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[3,5,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,2,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,2,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,2,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,3,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,3,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,3,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,1,5,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,1,3,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,1,5,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,1,5,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,3,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,3,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,3,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,2,5,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,1,2,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,1,5,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,1,5,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,2,1,5,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,2,5,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,2,5,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,3,5,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[4,5,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,2,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,3,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,4,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,1,5,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,3,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,3,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,4,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,4,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,5,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,1,5,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,3,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,4,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,2,5,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,2,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,2,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,4,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,4,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,5,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,1,5,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,1,4,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,1,5,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,4,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,4,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,5,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,2,5,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,4,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,3,5,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,2,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,2,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,3,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,3,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,5,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,1,5,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,1,3,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,1,5,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,3,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,3,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,5,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,2,5,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,1,2,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,1,5,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,2,1,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,2,5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,5,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,3,5,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,4,5,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,2,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,2,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,3,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,3,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,4,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,1,4,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,1,3,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,1,4,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,3,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,3,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,4,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,2,4,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,1,2,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,1,4,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,2,1,4] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,2,4,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,4,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,3,4,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,1,2,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,1,3,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,2,1,3] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,2,3,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,3,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
[5,5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The multiplicity of the standard representation in the Kronecker square corresponding to a partition.
The Kronecker coefficient is the multiplicity gλμ,ν of the Specht module Sλ in SμSν:
SμSν=λgλμ,νSλ
This statistic records the Kronecker coefficient g(n1)1λ,λ, for λn>1. For n1 the statistic is undefined.
It follows from [3, Prop.4.1] (or, slightly easier from [3, Thm.4.2]) that this is one less than St000159The number of distinct parts of the integer partition., the number of distinct parts of the partition.
Map
to partition
Description
The cut-out partition of a Dyck path.
The partition λ associated to a Dyck path is defined to be the complementary partition inside the staircase partition (n1,,2,1) when cutting out D considered as a path from (0,0) to (n,n).
In other words, λi is the number of down-steps before the (n+1i)-th up-step of D.
This map is a bijection between Dyck paths of size n and partitions inside the staircase partition (n1,,2,1).
Map
peaks-to-valleys
Description
Return the path that has a valley wherever the original path has a peak of height at least one.
More precisely, the height of a valley in the image is the height of the corresponding peak minus 2.
This is also (the inverse of) rowmotion on Dyck paths regarded as order ideals in the triangular poset.
Map
to Dyck path
Description
Sends a parking function to its support Dyck word.