Processing math: 100%

Identifier
Values
[1] => [1] => [1] => [1,0] => 0
[1,2] => [1,2] => [2] => [1,1,0,0] => 0
[2,1] => [2,1] => [1,1] => [1,0,1,0] => 1
[1,2,3] => [1,2,3] => [3] => [1,1,1,0,0,0] => 0
[1,3,2] => [3,1,2] => [1,2] => [1,0,1,1,0,0] => 1
[2,1,3] => [2,1,3] => [1,2] => [1,0,1,1,0,0] => 1
[2,3,1] => [1,3,2] => [2,1] => [1,1,0,0,1,0] => 2
[3,1,2] => [2,3,1] => [2,1] => [1,1,0,0,1,0] => 2
[3,2,1] => [3,2,1] => [1,1,1] => [1,0,1,0,1,0] => 3
[1,2,3,4] => [1,2,3,4] => [4] => [1,1,1,1,0,0,0,0] => 0
[1,2,4,3] => [4,1,2,3] => [1,3] => [1,0,1,1,1,0,0,0] => 1
[1,3,2,4] => [3,1,2,4] => [1,3] => [1,0,1,1,1,0,0,0] => 1
[1,3,4,2] => [2,4,1,3] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[1,4,2,3] => [3,4,1,2] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[1,4,3,2] => [4,3,1,2] => [1,1,2] => [1,0,1,0,1,1,0,0] => 3
[2,1,3,4] => [2,1,3,4] => [1,3] => [1,0,1,1,1,0,0,0] => 1
[2,1,4,3] => [1,4,2,3] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[2,3,1,4] => [1,3,2,4] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[2,3,4,1] => [1,2,4,3] => [3,1] => [1,1,1,0,0,0,1,0] => 3
[2,4,1,3] => [1,3,4,2] => [3,1] => [1,1,1,0,0,0,1,0] => 3
[2,4,3,1] => [4,1,3,2] => [1,2,1] => [1,0,1,1,0,0,1,0] => 4
[3,1,2,4] => [2,3,1,4] => [2,2] => [1,1,0,0,1,1,0,0] => 2
[3,1,4,2] => [4,2,1,3] => [1,1,2] => [1,0,1,0,1,1,0,0] => 3
[3,2,1,4] => [3,2,1,4] => [1,1,2] => [1,0,1,0,1,1,0,0] => 3
[3,2,4,1] => [2,1,4,3] => [1,2,1] => [1,0,1,1,0,0,1,0] => 4
[3,4,1,2] => [3,1,4,2] => [1,2,1] => [1,0,1,1,0,0,1,0] => 4
[3,4,2,1] => [1,4,3,2] => [2,1,1] => [1,1,0,0,1,0,1,0] => 5
[4,1,2,3] => [2,3,4,1] => [3,1] => [1,1,1,0,0,0,1,0] => 3
[4,1,3,2] => [4,2,3,1] => [1,2,1] => [1,0,1,1,0,0,1,0] => 4
[4,2,1,3] => [3,2,4,1] => [1,2,1] => [1,0,1,1,0,0,1,0] => 4
[4,2,3,1] => [2,4,3,1] => [2,1,1] => [1,1,0,0,1,0,1,0] => 5
[4,3,1,2] => [3,4,2,1] => [2,1,1] => [1,1,0,0,1,0,1,0] => 5
[4,3,2,1] => [4,3,2,1] => [1,1,1,1] => [1,0,1,0,1,0,1,0] => 6
[1,2,3,4,5] => [1,2,3,4,5] => [5] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,3,5,4] => [5,1,2,3,4] => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,4,3,5] => [4,1,2,3,5] => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,4,5,3] => [3,5,1,2,4] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,3,4] => [4,5,1,2,3] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,4,3] => [5,4,1,2,3] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,3,2,4,5] => [3,1,2,4,5] => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,2,5,4] => [2,5,1,3,4] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,2,5] => [2,4,1,3,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,5,2] => [2,3,5,1,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[1,3,5,2,4] => [2,4,5,1,3] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[1,3,5,4,2] => [5,2,4,1,3] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,4,2,3,5] => [3,4,1,2,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,4,2,5,3] => [5,3,1,2,4] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,4,3,2,5] => [4,3,1,2,5] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,4,3,5,2] => [3,2,5,1,4] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,4,5,2,3] => [4,2,5,1,3] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,4,5,3,2] => [2,5,4,1,3] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,5,2,3,4] => [3,4,5,1,2] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[1,5,2,4,3] => [5,3,4,1,2] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,2,4] => [4,3,5,1,2] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[1,5,3,4,2] => [3,5,4,1,2] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,5,4,2,3] => [4,5,3,1,2] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[1,5,4,3,2] => [5,4,3,1,2] => [1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 6
[2,1,3,4,5] => [2,1,3,4,5] => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,5,4] => [1,5,2,3,4] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,1,4,3,5] => [1,4,2,3,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,1,4,5,3] => [1,3,5,2,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[2,1,5,3,4] => [1,4,5,2,3] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[2,1,5,4,3] => [5,1,4,2,3] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,3,1,4,5] => [1,3,2,4,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,5,4] => [1,2,5,3,4] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[2,3,4,1,5] => [1,2,4,3,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[2,3,4,5,1] => [1,2,3,5,4] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 4
[2,3,5,1,4] => [1,2,4,5,3] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 4
[2,3,5,4,1] => [5,1,2,4,3] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,4,1,3,5] => [1,3,4,2,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[2,4,1,5,3] => [5,1,3,2,4] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,1,5] => [4,1,3,2,5] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[2,4,3,5,1] => [3,1,2,5,4] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,4,5,1,3] => [4,1,2,5,3] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,4,5,3,1] => [2,5,1,4,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[2,5,1,3,4] => [1,3,4,5,2] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 4
[2,5,1,4,3] => [5,1,3,4,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,5,3,1,4] => [4,1,3,5,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[2,5,3,4,1] => [3,5,1,4,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[2,5,4,1,3] => [4,5,1,3,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[2,5,4,3,1] => [5,4,1,3,2] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[3,1,2,4,5] => [2,3,1,4,5] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[3,1,2,5,4] => [5,2,1,3,4] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[3,1,4,2,5] => [4,2,1,3,5] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[3,1,4,5,2] => [3,1,5,2,4] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,2,4] => [4,1,5,2,3] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,1,5,4,2] => [1,5,4,2,3] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,2,1,4,5] => [3,2,1,4,5] => [1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[3,2,1,5,4] => [2,1,5,3,4] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,1,5] => [2,1,4,3,5] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,2,4,5,1] => [2,1,3,5,4] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[3,2,5,1,4] => [2,1,4,5,3] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[3,2,5,4,1] => [1,5,2,4,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[3,4,1,2,5] => [3,1,4,2,5] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[3,4,1,5,2] => [1,5,3,2,4] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,4,2,1,5] => [1,4,3,2,5] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[3,4,2,5,1] => [1,3,2,5,4] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[3,4,5,1,2] => [1,4,2,5,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[3,4,5,2,1] => [1,2,5,4,3] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[3,5,1,2,4] => [3,1,4,5,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[3,5,1,4,2] => [1,5,3,4,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
>>> Load all 26653 entries. <<<
[3,5,2,1,4] => [1,4,3,5,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[3,5,2,4,1] => [1,3,5,4,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[3,5,4,1,2] => [1,4,5,3,2] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[3,5,4,2,1] => [5,1,4,3,2] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[4,1,2,3,5] => [2,3,4,1,5] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 3
[4,1,2,5,3] => [5,2,3,1,4] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,2,5] => [4,2,3,1,5] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,1,3,5,2] => [3,5,2,1,4] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,5,2,3] => [4,5,2,1,3] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,1,5,3,2] => [5,4,2,1,3] => [1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 6
[4,2,1,3,5] => [3,2,4,1,5] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,5,3] => [2,5,3,1,4] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,2,3,1,5] => [2,4,3,1,5] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,2,3,5,1] => [2,3,1,5,4] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[4,2,5,1,3] => [2,4,1,5,3] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[4,2,5,3,1] => [5,2,1,4,3] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[4,3,1,2,5] => [3,4,2,1,5] => [2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[4,3,1,5,2] => [5,3,2,1,4] => [1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 6
[4,3,2,1,5] => [4,3,2,1,5] => [1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 6
[4,3,2,5,1] => [3,2,1,5,4] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[4,3,5,1,2] => [4,2,1,5,3] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[4,3,5,2,1] => [2,1,5,4,3] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[4,5,1,2,3] => [3,4,1,5,2] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[4,5,1,3,2] => [5,3,1,4,2] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[4,5,2,1,3] => [4,3,1,5,2] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[4,5,2,3,1] => [3,1,5,4,2] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[4,5,3,1,2] => [4,1,5,3,2] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[4,5,3,2,1] => [1,5,4,3,2] => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 9
[5,1,2,3,4] => [2,3,4,5,1] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 4
[5,1,2,4,3] => [5,2,3,4,1] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,1,3,2,4] => [4,2,3,5,1] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,1,3,4,2] => [3,5,2,4,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[5,1,4,2,3] => [4,5,2,3,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[5,1,4,3,2] => [5,4,2,3,1] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[5,2,1,3,4] => [3,2,4,5,1] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[5,2,1,4,3] => [2,5,3,4,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[5,2,3,1,4] => [2,4,3,5,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[5,2,3,4,1] => [2,3,5,4,1] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[5,2,4,1,3] => [2,4,5,3,1] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[5,2,4,3,1] => [5,2,4,3,1] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[5,3,1,2,4] => [3,4,2,5,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 6
[5,3,1,4,2] => [5,3,2,4,1] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[5,3,2,1,4] => [4,3,2,5,1] => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 7
[5,3,2,4,1] => [3,2,5,4,1] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[5,3,4,1,2] => [4,2,5,3,1] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[5,3,4,2,1] => [2,5,4,3,1] => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 9
[5,4,1,2,3] => [3,4,5,2,1] => [3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 7
[5,4,1,3,2] => [5,3,4,2,1] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[5,4,2,1,3] => [4,3,5,2,1] => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 8
[5,4,2,3,1] => [3,5,4,2,1] => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 9
[5,4,3,1,2] => [4,5,3,2,1] => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 9
[5,4,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0] => 10
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,3,4,6,5] => [6,1,2,3,4,5] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,5,4,6] => [5,1,2,3,4,6] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,5,6,4] => [4,6,1,2,3,5] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,3,6,4,5] => [5,6,1,2,3,4] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,3,6,5,4] => [6,5,1,2,3,4] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,3,5,6] => [4,1,2,3,5,6] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,3,6,5] => [3,6,1,2,4,5] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,4,5,3,6] => [3,5,1,2,4,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,4,5,6,3] => [3,4,6,1,2,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,6,3,5] => [3,5,6,1,2,4] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,4,6,5,3] => [6,3,5,1,2,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,2,5,3,4,6] => [4,5,1,2,3,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,5,3,6,4] => [6,4,1,2,3,5] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,5,4,3,6] => [5,4,1,2,3,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,5,4,6,3] => [4,3,6,1,2,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,2,5,6,3,4] => [5,3,6,1,2,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,2,5,6,4,3] => [3,6,5,1,2,4] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,2,6,3,4,5] => [4,5,6,1,2,3] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,6,3,5,4] => [6,4,5,1,2,3] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,2,6,4,3,5] => [5,4,6,1,2,3] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,2,6,4,5,3] => [4,6,5,1,2,3] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,2,6,5,3,4] => [5,6,4,1,2,3] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,2,6,5,4,3] => [6,5,4,1,2,3] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,3,2,4,5,6] => [3,1,2,4,5,6] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,4,6,5] => [2,6,1,3,4,5] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,3,2,5,4,6] => [2,5,1,3,4,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,3,2,5,6,4] => [2,4,6,1,3,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,6,4,5] => [2,5,6,1,3,4] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,6,5,4] => [6,2,5,1,3,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,3,4,2,5,6] => [2,4,1,3,5,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,3,4,2,6,5] => [2,3,6,1,4,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,5,2,6] => [2,3,5,1,4,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,4,5,6,2] => [2,3,4,6,1,5] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,3,4,6,2,5] => [2,3,5,6,1,4] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,3,4,6,5,2] => [6,2,3,5,1,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,5,2,4,6] => [2,4,5,1,3,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,5,2,6,4] => [6,2,4,1,3,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,3,5,4,2,6] => [5,2,4,1,3,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,3,5,4,6,2] => [4,2,3,6,1,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,5,6,2,4] => [5,2,3,6,1,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,5,6,4,2] => [3,6,2,5,1,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,6,2,4,5] => [2,4,5,6,1,3] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,3,6,2,5,4] => [6,2,4,5,1,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,6,4,2,5] => [5,2,4,6,1,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,3,6,4,5,2] => [4,6,2,5,1,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,6,5,2,4] => [5,6,2,4,1,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,3,6,5,4,2] => [6,5,2,4,1,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,4,2,3,5,6] => [3,4,1,2,5,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,2,3,6,5] => [6,3,1,2,4,5] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,4,2,5,3,6] => [5,3,1,2,4,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,4,2,5,6,3] => [4,2,6,1,3,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,4,2,6,3,5] => [5,2,6,1,3,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,4,2,6,5,3] => [2,6,5,1,3,4] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,4,3,2,5,6] => [4,3,1,2,5,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,4,3,2,6,5] => [3,2,6,1,4,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,4,3,5,2,6] => [3,2,5,1,4,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,4,3,5,6,2] => [3,2,4,6,1,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,6,2,5] => [3,2,5,6,1,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,3,6,5,2] => [2,6,3,5,1,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,4,5,2,3,6] => [4,2,5,1,3,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,4,5,2,6,3] => [2,6,4,1,3,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,4,5,3,2,6] => [2,5,4,1,3,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,4,5,3,6,2] => [2,4,3,6,1,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,4,5,6,2,3] => [2,5,3,6,1,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,4,5,6,3,2] => [2,3,6,5,1,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,4,6,2,3,5] => [4,2,5,6,1,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,4,6,2,5,3] => [2,6,4,5,1,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,4,6,3,2,5] => [2,5,4,6,1,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,4,6,3,5,2] => [2,4,6,5,1,3] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,4,6,5,2,3] => [2,5,6,4,1,3] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,4,6,5,3,2] => [6,2,5,4,1,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,5,2,3,4,6] => [3,4,5,1,2,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,5,2,3,6,4] => [6,3,4,1,2,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,5,2,4,3,6] => [5,3,4,1,2,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,5,2,4,6,3] => [4,6,3,1,2,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,5,2,6,3,4] => [5,6,3,1,2,4] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,5,2,6,4,3] => [6,5,3,1,2,4] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,5,3,2,4,6] => [4,3,5,1,2,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,5,3,2,6,4] => [3,6,4,1,2,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,5,3,4,2,6] => [3,5,4,1,2,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,5,3,4,6,2] => [3,4,2,6,1,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,6,2,4] => [3,5,2,6,1,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,3,6,4,2] => [6,3,2,5,1,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,5,4,2,3,6] => [4,5,3,1,2,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[1,5,4,2,6,3] => [6,4,3,1,2,5] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,5,4,3,2,6] => [5,4,3,1,2,6] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,5,4,3,6,2] => [4,3,2,6,1,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,5,4,6,2,3] => [5,3,2,6,1,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,5,4,6,3,2] => [3,2,6,5,1,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,5,6,2,3,4] => [4,5,2,6,1,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,5,6,2,4,3] => [6,4,2,5,1,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,5,6,3,2,4] => [5,4,2,6,1,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,5,6,3,4,2] => [4,2,6,5,1,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,5,6,4,2,3] => [5,2,6,4,1,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,5,6,4,3,2] => [2,6,5,4,1,3] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,6,2,3,4,5] => [3,4,5,6,1,2] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,6,2,3,5,4] => [6,3,4,5,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,2,4,3,5] => [5,3,4,6,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,2,4,5,3] => [4,6,3,5,1,2] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,6,2,5,3,4] => [5,6,3,4,1,2] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,6,2,5,4,3] => [6,5,3,4,1,2] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,6,3,2,4,5] => [4,3,5,6,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,6,3,2,5,4] => [3,6,4,5,1,2] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,6,3,4,2,5] => [3,5,4,6,1,2] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,6,3,4,5,2] => [3,4,6,5,1,2] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,6,3,5,2,4] => [3,5,6,4,1,2] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,6,3,5,4,2] => [6,3,5,4,1,2] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,6,4,2,3,5] => [4,5,3,6,1,2] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,6,4,2,5,3] => [6,4,3,5,1,2] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,6,4,3,2,5] => [5,4,3,6,1,2] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,6,4,3,5,2] => [4,3,6,5,1,2] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,6,4,5,2,3] => [5,3,6,4,1,2] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,6,4,5,3,2] => [3,6,5,4,1,2] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,6,5,2,3,4] => [4,5,6,3,1,2] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[1,6,5,2,4,3] => [6,4,5,3,1,2] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,6,5,3,2,4] => [5,4,6,3,1,2] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[1,6,5,3,4,2] => [4,6,5,3,1,2] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,6,5,4,2,3] => [5,6,4,3,1,2] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[1,6,5,4,3,2] => [6,5,4,3,1,2] => [1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 10
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,6,5] => [1,6,2,3,4,5] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,3,5,4,6] => [1,5,2,3,4,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,3,5,6,4] => [1,4,6,2,3,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,6,4,5] => [1,5,6,2,3,4] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,3,6,5,4] => [6,1,5,2,3,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,4,3,6,5] => [1,3,6,2,4,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,5,3,6] => [1,3,5,2,4,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,5,6,3] => [1,3,4,6,2,5] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,1,4,6,3,5] => [1,3,5,6,2,4] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,1,4,6,5,3] => [6,1,3,5,2,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,5,3,4,6] => [1,4,5,2,3,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,5,3,6,4] => [6,1,4,2,3,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,1,5,4,3,6] => [5,1,4,2,3,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,1,5,4,6,3] => [4,1,3,6,2,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,5,6,3,4] => [5,1,3,6,2,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,5,6,4,3] => [3,6,1,5,2,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,1,6,3,4,5] => [1,4,5,6,2,3] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,1,6,3,5,4] => [6,1,4,5,2,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,6,4,3,5] => [5,1,4,6,2,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,1,6,4,5,3] => [4,6,1,5,2,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,1,6,5,3,4] => [5,6,1,4,2,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,1,6,5,4,3] => [6,5,1,4,2,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[2,3,1,4,5,6] => [1,3,2,4,5,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,6,5] => [1,2,6,3,4,5] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,5,4,6] => [1,2,5,3,4,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,1,5,6,4] => [1,2,4,6,3,5] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,3,1,6,4,5] => [1,2,5,6,3,4] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,3,1,6,5,4] => [6,1,2,5,3,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,4,1,5,6] => [1,2,4,3,5,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,4,1,6,5] => [1,2,3,6,4,5] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,3,4,5,1,6] => [1,2,3,5,4,6] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,3,4,5,6,1] => [1,2,3,4,6,5] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 5
[2,3,4,6,1,5] => [1,2,3,5,6,4] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 5
[2,3,4,6,5,1] => [6,1,2,3,5,4] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,3,5,1,4,6] => [1,2,4,5,3,6] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,3,5,1,6,4] => [6,1,2,4,3,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,5,4,1,6] => [5,1,2,4,3,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,3,5,4,6,1] => [4,1,2,3,6,5] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,3,5,6,1,4] => [5,1,2,3,6,4] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,3,5,6,4,1] => [3,6,1,2,5,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,3,6,1,4,5] => [1,2,4,5,6,3] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 5
[2,3,6,1,5,4] => [6,1,2,4,5,3] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,3,6,4,1,5] => [5,1,2,4,6,3] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,3,6,4,5,1] => [4,6,1,2,5,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,3,6,5,1,4] => [5,6,1,2,4,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,3,6,5,4,1] => [6,5,1,2,4,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,4,1,3,5,6] => [1,3,4,2,5,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,1,3,6,5] => [6,1,3,2,4,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,4,1,5,3,6] => [5,1,3,2,4,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,4,1,5,6,3] => [4,1,2,6,3,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,6,3,5] => [5,1,2,6,3,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,6,5,3] => [2,6,1,5,3,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,4,3,1,5,6] => [4,1,3,2,5,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[2,4,3,1,6,5] => [3,1,2,6,4,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,5,1,6] => [3,1,2,5,4,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,5,6,1] => [3,1,2,4,6,5] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,4,3,6,1,5] => [3,1,2,5,6,4] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,4,3,6,5,1] => [2,6,1,3,5,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,4,5,1,3,6] => [4,1,2,5,3,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,4,5,1,6,3] => [2,6,1,4,3,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,4,5,3,1,6] => [2,5,1,4,3,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,4,5,3,6,1] => [2,4,1,3,6,5] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,4,5,6,1,3] => [2,5,1,3,6,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,4,5,6,3,1] => [2,3,6,1,5,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,4,6,1,3,5] => [4,1,2,5,6,3] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,4,6,1,5,3] => [2,6,1,4,5,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,4,6,3,1,5] => [2,5,1,4,6,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,4,6,3,5,1] => [2,4,6,1,5,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,4,6,5,1,3] => [2,5,6,1,4,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,4,6,5,3,1] => [6,2,5,1,4,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,5,1,3,4,6] => [1,3,4,5,2,6] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[2,5,1,3,6,4] => [6,1,3,4,2,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,1,4,3,6] => [5,1,3,4,2,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,1,4,6,3] => [4,6,1,3,2,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,5,1,6,3,4] => [5,6,1,3,2,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,5,1,6,4,3] => [6,5,1,3,2,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[2,5,3,1,4,6] => [4,1,3,5,2,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[2,5,3,1,6,4] => [3,6,1,4,2,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,4,1,6] => [3,5,1,4,2,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,5,3,4,6,1] => [3,4,1,2,6,5] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,5,3,6,1,4] => [3,5,1,2,6,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,5,3,6,4,1] => [6,3,1,2,5,4] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,5,4,1,3,6] => [4,5,1,3,2,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,5,4,1,6,3] => [6,4,1,3,2,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[2,5,4,3,1,6] => [5,4,1,3,2,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[2,5,4,3,6,1] => [4,3,1,2,6,5] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,5,4,6,1,3] => [5,3,1,2,6,4] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,5,4,6,3,1] => [3,2,6,1,5,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,5,6,1,3,4] => [4,5,1,2,6,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,5,6,1,4,3] => [6,4,1,2,5,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,5,6,3,1,4] => [5,4,1,2,6,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,5,6,3,4,1] => [4,2,6,1,5,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,5,6,4,1,3] => [5,2,6,1,4,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,5,6,4,3,1] => [2,6,5,1,4,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[2,6,1,3,4,5] => [1,3,4,5,6,2] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 5
[2,6,1,3,5,4] => [6,1,3,4,5,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,1,4,3,5] => [5,1,3,4,6,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,1,4,5,3] => [4,6,1,3,5,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,6,1,5,3,4] => [5,6,1,3,4,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,6,1,5,4,3] => [6,5,1,3,4,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,6,3,1,4,5] => [4,1,3,5,6,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[2,6,3,1,5,4] => [3,6,1,4,5,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,6,3,4,1,5] => [3,5,1,4,6,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,6,3,4,5,1] => [3,4,6,1,5,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,6,3,5,1,4] => [3,5,6,1,4,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,6,3,5,4,1] => [6,3,5,1,4,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,6,4,1,3,5] => [4,5,1,3,6,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[2,6,4,1,5,3] => [6,4,1,3,5,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,6,4,3,1,5] => [5,4,1,3,6,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[2,6,4,3,5,1] => [4,3,6,1,5,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,6,4,5,1,3] => [5,3,6,1,4,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,6,4,5,3,1] => [3,6,5,1,4,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[2,6,5,1,3,4] => [4,5,6,1,3,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[2,6,5,1,4,3] => [6,4,5,1,3,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,6,5,3,1,4] => [5,4,6,1,3,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[2,6,5,3,4,1] => [4,6,5,1,3,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[2,6,5,4,1,3] => [5,6,4,1,3,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[2,6,5,4,3,1] => [6,5,4,1,3,2] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[3,1,2,4,5,6] => [2,3,1,4,5,6] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,1,2,4,6,5] => [6,2,1,3,4,5] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[3,1,2,5,4,6] => [5,2,1,3,4,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[3,1,2,5,6,4] => [4,1,6,2,3,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,1,2,6,4,5] => [5,1,6,2,3,4] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,1,2,6,5,4] => [1,6,5,2,3,4] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,1,4,2,5,6] => [4,2,1,3,5,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[3,1,4,2,6,5] => [3,1,6,2,4,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,1,4,5,2,6] => [3,1,5,2,4,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,1,4,5,6,2] => [3,1,4,6,2,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,4,6,2,5] => [3,1,5,6,2,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,4,6,5,2] => [1,6,3,5,2,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,2,4,6] => [4,1,5,2,3,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,1,5,2,6,4] => [1,6,4,2,3,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,1,5,4,2,6] => [1,5,4,2,3,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,1,5,4,6,2] => [1,4,3,6,2,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,6,2,4] => [1,5,3,6,2,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,5,6,4,2] => [1,3,6,5,2,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,1,6,2,4,5] => [4,1,5,6,2,3] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,1,6,2,5,4] => [1,6,4,5,2,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,6,4,2,5] => [1,5,4,6,2,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,1,6,4,5,2] => [1,4,6,5,2,3] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,1,6,5,2,4] => [1,5,6,4,2,3] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,1,6,5,4,2] => [6,1,5,4,2,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[3,2,1,4,5,6] => [3,2,1,4,5,6] => [1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[3,2,1,4,6,5] => [2,1,6,3,4,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,2,1,5,4,6] => [2,1,5,3,4,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,2,1,5,6,4] => [2,1,4,6,3,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,1,6,4,5] => [2,1,5,6,3,4] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,1,6,5,4] => [1,6,2,5,3,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,2,4,1,5,6] => [2,1,4,3,5,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,2,4,1,6,5] => [2,1,3,6,4,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,4,5,1,6] => [2,1,3,5,4,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,4,5,6,1] => [2,1,3,4,6,5] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[3,2,4,6,1,5] => [2,1,3,5,6,4] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[3,2,4,6,5,1] => [1,6,2,3,5,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,2,5,1,4,6] => [2,1,4,5,3,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,2,5,1,6,4] => [1,6,2,4,3,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,4,1,6] => [1,5,2,4,3,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,2,5,4,6,1] => [1,4,2,3,6,5] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,2,5,6,1,4] => [1,5,2,3,6,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,2,5,6,4,1] => [1,3,6,2,5,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,2,6,1,4,5] => [2,1,4,5,6,3] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[3,2,6,1,5,4] => [1,6,2,4,5,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,2,6,4,1,5] => [1,5,2,4,6,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,2,6,4,5,1] => [1,4,6,2,5,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,2,6,5,1,4] => [1,5,6,2,4,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,2,6,5,4,1] => [6,1,5,2,4,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,4,1,2,5,6] => [3,1,4,2,5,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[3,4,1,2,6,5] => [1,6,3,2,4,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,4,1,5,2,6] => [1,5,3,2,4,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,4,1,5,6,2] => [1,4,2,6,3,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,4,1,6,2,5] => [1,5,2,6,3,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,4,1,6,5,2] => [1,2,6,5,3,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,4,2,1,5,6] => [1,4,3,2,5,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[3,4,2,1,6,5] => [1,3,2,6,4,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,4,2,5,1,6] => [1,3,2,5,4,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,4,2,5,6,1] => [1,3,2,4,6,5] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,4,2,6,1,5] => [1,3,2,5,6,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,4,2,6,5,1] => [1,2,6,3,5,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,4,5,1,2,6] => [1,4,2,5,3,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,4,5,1,6,2] => [1,2,6,4,3,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,4,5,2,1,6] => [1,2,5,4,3,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,4,5,2,6,1] => [1,2,4,3,6,5] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,4,5,6,1,2] => [1,2,5,3,6,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,4,5,6,2,1] => [1,2,3,6,5,4] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,4,6,1,2,5] => [1,4,2,5,6,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,4,6,1,5,2] => [1,2,6,4,5,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,4,6,2,1,5] => [1,2,5,4,6,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,4,6,2,5,1] => [1,2,4,6,5,3] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,4,6,5,1,2] => [1,2,5,6,4,3] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,4,6,5,2,1] => [6,1,2,5,4,3] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,5,1,2,4,6] => [3,1,4,5,2,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[3,5,1,2,6,4] => [1,6,3,4,2,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,4,2,6] => [1,5,3,4,2,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,1,4,6,2] => [1,4,6,3,2,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,5,1,6,2,4] => [1,5,6,3,2,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,5,1,6,4,2] => [6,1,5,3,2,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[3,5,2,1,4,6] => [1,4,3,5,2,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[3,5,2,1,6,4] => [1,3,6,4,2,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,5,2,4,1,6] => [1,3,5,4,2,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,5,2,4,6,1] => [1,3,4,2,6,5] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,5,2,6,1,4] => [1,3,5,2,6,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,5,2,6,4,1] => [6,1,3,2,5,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,5,4,1,2,6] => [1,4,5,3,2,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[3,5,4,1,6,2] => [6,1,4,3,2,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[3,5,4,2,1,6] => [5,1,4,3,2,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[3,5,4,2,6,1] => [4,1,3,2,6,5] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,5,4,6,1,2] => [5,1,3,2,6,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,5,4,6,2,1] => [3,1,2,6,5,4] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,5,6,1,2,4] => [1,4,5,2,6,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,5,6,1,4,2] => [6,1,4,2,5,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,5,6,2,1,4] => [5,1,4,2,6,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,5,6,2,4,1] => [4,1,2,6,5,3] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,5,6,4,1,2] => [5,1,2,6,4,3] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,5,6,4,2,1] => [2,6,1,5,4,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[3,6,1,2,4,5] => [3,1,4,5,6,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[3,6,1,2,5,4] => [1,6,3,4,5,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,6,1,4,2,5] => [1,5,3,4,6,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,6,1,4,5,2] => [1,4,6,3,5,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,6,1,5,2,4] => [1,5,6,3,4,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,6,1,5,4,2] => [6,1,5,3,4,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,6,2,1,4,5] => [1,4,3,5,6,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[3,6,2,1,5,4] => [1,3,6,4,5,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,6,2,4,1,5] => [1,3,5,4,6,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,6,2,4,5,1] => [1,3,4,6,5,2] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,6,2,5,1,4] => [1,3,5,6,4,2] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,6,2,5,4,1] => [6,1,3,5,4,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,6,4,1,2,5] => [1,4,5,3,6,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[3,6,4,1,5,2] => [6,1,4,3,5,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,6,4,2,1,5] => [5,1,4,3,6,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[3,6,4,2,5,1] => [4,1,3,6,5,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,6,4,5,1,2] => [5,1,3,6,4,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,6,4,5,2,1] => [3,6,1,5,4,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[3,6,5,1,2,4] => [1,4,5,6,3,2] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[3,6,5,1,4,2] => [6,1,4,5,3,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,6,5,2,1,4] => [5,1,4,6,3,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[3,6,5,2,4,1] => [4,6,1,5,3,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[3,6,5,4,1,2] => [5,6,1,4,3,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[3,6,5,4,2,1] => [6,5,1,4,3,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[4,1,2,3,5,6] => [2,3,4,1,5,6] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,3,6,5] => [6,2,3,1,4,5] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[4,1,2,5,3,6] => [5,2,3,1,4,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[4,1,2,5,6,3] => [4,6,2,1,3,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,1,2,6,3,5] => [5,6,2,1,3,4] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,1,2,6,5,3] => [6,5,2,1,3,4] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,3,2,5,6] => [4,2,3,1,5,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[4,1,3,2,6,5] => [3,6,2,1,4,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,1,3,5,2,6] => [3,5,2,1,4,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,1,3,5,6,2] => [3,4,1,6,2,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,1,3,6,2,5] => [3,5,1,6,2,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,1,3,6,5,2] => [6,3,1,5,2,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,1,5,2,3,6] => [4,5,2,1,3,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,1,5,2,6,3] => [6,4,2,1,3,5] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,5,3,2,6] => [5,4,2,1,3,6] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,1,5,3,6,2] => [4,3,1,6,2,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,1,5,6,2,3] => [5,3,1,6,2,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,1,5,6,3,2] => [3,1,6,5,2,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,1,6,2,3,5] => [4,5,1,6,2,3] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,1,6,2,5,3] => [6,4,1,5,2,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,1,6,3,2,5] => [5,4,1,6,2,3] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,1,6,3,5,2] => [4,1,6,5,2,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,1,6,5,2,3] => [5,1,6,4,2,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,1,6,5,3,2] => [1,6,5,4,2,3] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[4,2,1,3,5,6] => [3,2,4,1,5,6] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 4
[4,2,1,3,6,5] => [2,6,3,1,4,5] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,2,1,5,3,6] => [2,5,3,1,4,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,2,1,5,6,3] => [2,4,1,6,3,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,2,1,6,3,5] => [2,5,1,6,3,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,2,1,6,5,3] => [6,2,1,5,3,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,2,3,1,5,6] => [2,4,3,1,5,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,2,3,1,6,5] => [2,3,1,6,4,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,2,3,5,1,6] => [2,3,1,5,4,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,2,3,5,6,1] => [2,3,1,4,6,5] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[4,2,3,6,1,5] => [2,3,1,5,6,4] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[4,2,3,6,5,1] => [6,2,1,3,5,4] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,2,5,1,3,6] => [2,4,1,5,3,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,2,5,1,6,3] => [6,2,1,4,3,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,2,5,3,1,6] => [5,2,1,4,3,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,2,5,3,6,1] => [4,2,1,3,6,5] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,2,5,6,1,3] => [5,2,1,3,6,4] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,2,5,6,3,1] => [3,1,6,2,5,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,2,6,1,3,5] => [2,4,1,5,6,3] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[4,2,6,1,5,3] => [6,2,1,4,5,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,2,6,3,1,5] => [5,2,1,4,6,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,2,6,3,5,1] => [4,1,6,2,5,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,2,6,5,1,3] => [5,1,6,2,4,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,2,6,5,3,1] => [1,6,5,2,4,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,3,1,2,5,6] => [3,4,2,1,5,6] => [2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 5
[4,3,1,2,6,5] => [6,3,2,1,4,5] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,5,2,6] => [5,3,2,1,4,6] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,1,5,6,2] => [4,2,1,6,3,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,3,1,6,2,5] => [5,2,1,6,3,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,3,1,6,5,2] => [2,1,6,5,3,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,3,2,1,5,6] => [4,3,2,1,5,6] => [1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[4,3,2,1,6,5] => [3,2,1,6,4,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,3,2,5,1,6] => [3,2,1,5,4,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,3,2,5,6,1] => [3,2,1,4,6,5] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,3,2,6,1,5] => [3,2,1,5,6,4] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,3,2,6,5,1] => [2,1,6,3,5,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,3,5,1,2,6] => [4,2,1,5,3,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,3,5,1,6,2] => [2,1,6,4,3,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,3,5,2,1,6] => [2,1,5,4,3,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,3,5,2,6,1] => [2,1,4,3,6,5] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,3,5,6,1,2] => [2,1,5,3,6,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,3,5,6,2,1] => [2,1,3,6,5,4] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,3,6,1,2,5] => [4,2,1,5,6,3] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,3,6,1,5,2] => [2,1,6,4,5,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,3,6,2,1,5] => [2,1,5,4,6,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,3,6,2,5,1] => [2,1,4,6,5,3] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,3,6,5,1,2] => [2,1,5,6,4,3] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,3,6,5,2,1] => [1,6,2,5,4,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,5,1,2,3,6] => [3,4,1,5,2,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[4,5,1,2,6,3] => [6,3,1,4,2,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,5,1,3,2,6] => [5,3,1,4,2,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,5,1,3,6,2] => [4,1,6,3,2,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,5,1,6,2,3] => [5,1,6,3,2,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,5,1,6,3,2] => [1,6,5,3,2,4] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[4,5,2,1,3,6] => [4,3,1,5,2,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[4,5,2,1,6,3] => [3,1,6,4,2,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,5,2,3,1,6] => [3,1,5,4,2,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,5,2,3,6,1] => [3,1,4,2,6,5] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,5,2,6,1,3] => [3,1,5,2,6,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,5,2,6,3,1] => [1,6,3,2,5,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,5,3,1,2,6] => [4,1,5,3,2,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[4,5,3,1,6,2] => [1,6,4,3,2,5] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[4,5,3,2,1,6] => [1,5,4,3,2,6] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[4,5,3,2,6,1] => [1,4,3,2,6,5] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,5,3,6,1,2] => [1,5,3,2,6,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,5,3,6,2,1] => [1,3,2,6,5,4] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,5,6,1,2,3] => [4,1,5,2,6,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,5,6,1,3,2] => [1,6,4,2,5,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,5,6,2,1,3] => [1,5,4,2,6,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,5,6,2,3,1] => [1,4,2,6,5,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,5,6,3,1,2] => [1,5,2,6,4,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,5,6,3,2,1] => [1,2,6,5,4,3] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[4,6,1,2,3,5] => [3,4,1,5,6,2] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[4,6,1,2,5,3] => [6,3,1,4,5,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,6,1,3,2,5] => [5,3,1,4,6,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,6,1,3,5,2] => [4,1,6,3,5,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,6,1,5,2,3] => [5,1,6,3,4,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,6,1,5,3,2] => [1,6,5,3,4,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,6,2,1,3,5] => [4,3,1,5,6,2] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[4,6,2,1,5,3] => [3,1,6,4,5,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,6,2,3,1,5] => [3,1,5,4,6,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,6,2,3,5,1] => [3,1,4,6,5,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,6,2,5,1,3] => [3,1,5,6,4,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,6,2,5,3,1] => [1,6,3,5,4,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,6,3,1,2,5] => [4,1,5,3,6,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[4,6,3,1,5,2] => [1,6,4,3,5,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,6,3,2,1,5] => [1,5,4,3,6,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[4,6,3,2,5,1] => [1,4,3,6,5,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,6,3,5,1,2] => [1,5,3,6,4,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,6,3,5,2,1] => [1,3,6,5,4,2] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[4,6,5,1,2,3] => [4,1,5,6,3,2] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[4,6,5,1,3,2] => [1,6,4,5,3,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,6,5,2,1,3] => [1,5,4,6,3,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[4,6,5,2,3,1] => [1,4,6,5,3,2] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[4,6,5,3,1,2] => [1,5,6,4,3,2] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[4,6,5,3,2,1] => [6,1,5,4,3,2] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[5,1,2,3,4,6] => [2,3,4,5,1,6] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 4
[5,1,2,3,6,4] => [6,2,3,4,1,5] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,4,3,6] => [5,2,3,4,1,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,2,4,6,3] => [4,6,2,3,1,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,2,6,3,4] => [5,6,2,3,1,4] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,2,6,4,3] => [6,5,2,3,1,4] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,1,3,2,4,6] => [4,2,3,5,1,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,1,3,2,6,4] => [3,6,2,4,1,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,4,2,6] => [3,5,2,4,1,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,3,4,6,2] => [3,4,6,2,1,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,1,3,6,2,4] => [3,5,6,2,1,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,1,3,6,4,2] => [6,3,5,2,1,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,1,4,2,3,6] => [4,5,2,3,1,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,1,4,2,6,3] => [6,4,2,3,1,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,1,4,3,2,6] => [5,4,2,3,1,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,1,4,3,6,2] => [4,3,6,2,1,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,1,4,6,2,3] => [5,3,6,2,1,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,1,4,6,3,2] => [3,6,5,2,1,4] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,1,6,2,3,4] => [4,5,6,2,1,3] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,1,6,2,4,3] => [6,4,5,2,1,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,1,6,3,2,4] => [5,4,6,2,1,3] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,1,6,3,4,2] => [4,6,5,2,1,3] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,1,6,4,2,3] => [5,6,4,2,1,3] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,1,6,4,3,2] => [6,5,4,2,1,3] => [1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 10
[5,2,1,3,4,6] => [3,2,4,5,1,6] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[5,2,1,3,6,4] => [2,6,3,4,1,5] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,2,1,4,3,6] => [2,5,3,4,1,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,2,1,4,6,3] => [2,4,6,3,1,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,2,1,6,3,4] => [2,5,6,3,1,4] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,2,1,6,4,3] => [6,2,5,3,1,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,2,3,1,4,6] => [2,4,3,5,1,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,2,3,1,6,4] => [2,3,6,4,1,5] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,2,3,4,1,6] => [2,3,5,4,1,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,2,3,4,6,1] => [2,3,4,1,6,5] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[5,2,3,6,1,4] => [2,3,5,1,6,4] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[5,2,3,6,4,1] => [6,2,3,1,5,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,2,4,1,3,6] => [2,4,5,3,1,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,2,4,1,6,3] => [6,2,4,3,1,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,2,4,3,1,6] => [5,2,4,3,1,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,2,4,3,6,1] => [4,2,3,1,6,5] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,2,4,6,1,3] => [5,2,3,1,6,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,2,4,6,3,1] => [3,6,2,1,5,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,2,6,1,3,4] => [2,4,5,1,6,3] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[5,2,6,1,4,3] => [6,2,4,1,5,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,2,6,3,1,4] => [5,2,4,1,6,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,2,6,3,4,1] => [4,6,2,1,5,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,2,6,4,1,3] => [5,6,2,1,4,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,2,6,4,3,1] => [6,5,2,1,4,3] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,3,1,2,4,6] => [3,4,2,5,1,6] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[5,3,1,2,6,4] => [6,3,2,4,1,5] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,3,1,4,2,6] => [5,3,2,4,1,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,3,1,4,6,2] => [4,2,6,3,1,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,3,1,6,2,4] => [5,2,6,3,1,4] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,3,1,6,4,2] => [2,6,5,3,1,4] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,3,2,1,4,6] => [4,3,2,5,1,6] => [1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 7
[5,3,2,1,6,4] => [3,2,6,4,1,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,3,2,4,1,6] => [3,2,5,4,1,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,3,2,4,6,1] => [3,2,4,1,6,5] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,3,2,6,1,4] => [3,2,5,1,6,4] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,3,2,6,4,1] => [2,6,3,1,5,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,3,4,1,2,6] => [4,2,5,3,1,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,3,4,1,6,2] => [2,6,4,3,1,5] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,3,4,2,1,6] => [2,5,4,3,1,6] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,3,4,2,6,1] => [2,4,3,1,6,5] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,3,4,6,1,2] => [2,5,3,1,6,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,3,4,6,2,1] => [2,3,1,6,5,4] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,3,6,1,2,4] => [4,2,5,1,6,3] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,3,6,1,4,2] => [2,6,4,1,5,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,3,6,2,1,4] => [2,5,4,1,6,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,3,6,2,4,1] => [2,4,1,6,5,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,3,6,4,1,2] => [2,5,1,6,4,3] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,3,6,4,2,1] => [6,2,1,5,4,3] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,4,1,2,3,6] => [3,4,5,2,1,6] => [3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 7
[5,4,1,2,6,3] => [6,3,4,2,1,5] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,4,1,3,2,6] => [5,3,4,2,1,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,4,1,3,6,2] => [4,6,3,2,1,5] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,4,1,6,2,3] => [5,6,3,2,1,4] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,4,1,6,3,2] => [6,5,3,2,1,4] => [1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 10
[5,4,2,1,3,6] => [4,3,5,2,1,6] => [1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 8
[5,4,2,1,6,3] => [3,6,4,2,1,5] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,4,2,3,1,6] => [3,5,4,2,1,6] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,4,2,3,6,1] => [3,4,2,1,6,5] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,4,2,6,1,3] => [3,5,2,1,6,4] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,4,2,6,3,1] => [6,3,2,1,5,4] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,4,3,1,2,6] => [4,5,3,2,1,6] => [2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 9
[5,4,3,1,6,2] => [6,4,3,2,1,5] => [1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 10
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 10
[5,4,3,2,6,1] => [4,3,2,1,6,5] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,4,3,6,1,2] => [5,3,2,1,6,4] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,4,3,6,2,1] => [3,2,1,6,5,4] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,4,6,1,2,3] => [4,5,2,1,6,3] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,4,6,1,3,2] => [6,4,2,1,5,3] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,4,6,2,1,3] => [5,4,2,1,6,3] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,4,6,2,3,1] => [4,2,1,6,5,3] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,4,6,3,1,2] => [5,2,1,6,4,3] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,4,6,3,2,1] => [2,1,6,5,4,3] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[5,6,1,2,3,4] => [3,4,5,1,6,2] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[5,6,1,2,4,3] => [6,3,4,1,5,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,6,1,3,2,4] => [5,3,4,1,6,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,6,1,3,4,2] => [4,6,3,1,5,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,6,1,4,2,3] => [5,6,3,1,4,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,6,1,4,3,2] => [6,5,3,1,4,2] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,6,2,1,3,4] => [4,3,5,1,6,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[5,6,2,1,4,3] => [3,6,4,1,5,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,6,2,3,1,4] => [3,5,4,1,6,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,6,2,3,4,1] => [3,4,1,6,5,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,6,2,4,1,3] => [3,5,1,6,4,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,6,2,4,3,1] => [6,3,1,5,4,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,6,3,1,2,4] => [4,5,3,1,6,2] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[5,6,3,1,4,2] => [6,4,3,1,5,2] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,6,3,2,1,4] => [5,4,3,1,6,2] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[5,6,3,2,4,1] => [4,3,1,6,5,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,6,3,4,1,2] => [5,3,1,6,4,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,6,3,4,2,1] => [3,1,6,5,4,2] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[5,6,4,1,2,3] => [4,5,1,6,3,2] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[5,6,4,1,3,2] => [6,4,1,5,3,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,6,4,2,1,3] => [5,4,1,6,3,2] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[5,6,4,2,3,1] => [4,1,6,5,3,2] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[5,6,4,3,1,2] => [5,1,6,4,3,2] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[5,6,4,3,2,1] => [1,6,5,4,3,2] => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 14
[6,1,2,3,4,5] => [2,3,4,5,6,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 5
[6,1,2,3,5,4] => [6,2,3,4,5,1] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,1,2,4,3,5] => [5,2,3,4,6,1] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,1,2,4,5,3] => [4,6,2,3,5,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,1,2,5,3,4] => [5,6,2,3,4,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,1,2,5,4,3] => [6,5,2,3,4,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,1,3,2,4,5] => [4,2,3,5,6,1] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,1,3,2,5,4] => [3,6,2,4,5,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,1,3,4,2,5] => [3,5,2,4,6,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,1,3,4,5,2] => [3,4,6,2,5,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,1,3,5,2,4] => [3,5,6,2,4,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,1,3,5,4,2] => [6,3,5,2,4,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,1,4,2,3,5] => [4,5,2,3,6,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,1,4,2,5,3] => [6,4,2,3,5,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,1,4,3,2,5] => [5,4,2,3,6,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,1,4,3,5,2] => [4,3,6,2,5,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,1,4,5,2,3] => [5,3,6,2,4,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,1,4,5,3,2] => [3,6,5,2,4,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,1,5,2,3,4] => [4,5,6,2,3,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,1,5,2,4,3] => [6,4,5,2,3,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,1,5,3,2,4] => [5,4,6,2,3,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,1,5,3,4,2] => [4,6,5,2,3,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,1,5,4,2,3] => [5,6,4,2,3,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,1,5,4,3,2] => [6,5,4,2,3,1] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[6,2,1,3,4,5] => [3,2,4,5,6,1] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[6,2,1,3,5,4] => [2,6,3,4,5,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,2,1,4,3,5] => [2,5,3,4,6,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,2,1,4,5,3] => [2,4,6,3,5,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,2,1,5,3,4] => [2,5,6,3,4,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,2,1,5,4,3] => [6,2,5,3,4,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,2,3,1,4,5] => [2,4,3,5,6,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,2,3,1,5,4] => [2,3,6,4,5,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,2,3,4,1,5] => [2,3,5,4,6,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,2,3,4,5,1] => [2,3,4,6,5,1] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[6,2,3,5,1,4] => [2,3,5,6,4,1] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[6,2,3,5,4,1] => [6,2,3,5,4,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,2,4,1,3,5] => [2,4,5,3,6,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,2,4,1,5,3] => [6,2,4,3,5,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,2,4,3,1,5] => [5,2,4,3,6,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,2,4,3,5,1] => [4,2,3,6,5,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,2,4,5,1,3] => [5,2,3,6,4,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,2,4,5,3,1] => [3,6,2,5,4,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,2,5,1,3,4] => [2,4,5,6,3,1] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[6,2,5,1,4,3] => [6,2,4,5,3,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,2,5,3,1,4] => [5,2,4,6,3,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,2,5,3,4,1] => [4,6,2,5,3,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,2,5,4,1,3] => [5,6,2,4,3,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,2,5,4,3,1] => [6,5,2,4,3,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,3,1,2,4,5] => [3,4,2,5,6,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 7
[6,3,1,2,5,4] => [6,3,2,4,5,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,3,1,4,2,5] => [5,3,2,4,6,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,3,1,4,5,2] => [4,2,6,3,5,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,3,1,5,2,4] => [5,2,6,3,4,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,3,1,5,4,2] => [2,6,5,3,4,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,3,2,1,4,5] => [4,3,2,5,6,1] => [1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 8
[6,3,2,1,5,4] => [3,2,6,4,5,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,3,2,4,1,5] => [3,2,5,4,6,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,3,2,4,5,1] => [3,2,4,6,5,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,3,2,5,1,4] => [3,2,5,6,4,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,3,2,5,4,1] => [2,6,3,5,4,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,3,4,1,2,5] => [4,2,5,3,6,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,3,4,1,5,2] => [2,6,4,3,5,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,3,4,2,1,5] => [2,5,4,3,6,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,3,4,2,5,1] => [2,4,3,6,5,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,3,4,5,1,2] => [2,5,3,6,4,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,3,4,5,2,1] => [2,3,6,5,4,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,3,5,1,2,4] => [4,2,5,6,3,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,3,5,1,4,2] => [2,6,4,5,3,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,3,5,2,1,4] => [2,5,4,6,3,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,3,5,2,4,1] => [2,4,6,5,3,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,3,5,4,1,2] => [2,5,6,4,3,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,3,5,4,2,1] => [6,2,5,4,3,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,4,1,2,3,5] => [3,4,5,2,6,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 8
[6,4,1,2,5,3] => [6,3,4,2,5,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,4,1,3,2,5] => [5,3,4,2,6,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,4,1,3,5,2] => [4,6,3,2,5,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,4,1,5,2,3] => [5,6,3,2,4,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,4,1,5,3,2] => [6,5,3,2,4,1] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[6,4,2,1,3,5] => [4,3,5,2,6,1] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 9
[6,4,2,1,5,3] => [3,6,4,2,5,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,4,2,3,1,5] => [3,5,4,2,6,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,4,2,3,5,1] => [3,4,2,6,5,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,4,2,5,1,3] => [3,5,2,6,4,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,4,2,5,3,1] => [6,3,2,5,4,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,4,3,1,2,5] => [4,5,3,2,6,1] => [2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 10
[6,4,3,1,5,2] => [6,4,3,2,5,1] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[6,4,3,2,1,5] => [5,4,3,2,6,1] => [1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 11
[6,4,3,2,5,1] => [4,3,2,6,5,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,4,3,5,1,2] => [5,3,2,6,4,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,4,3,5,2,1] => [3,2,6,5,4,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,4,5,1,2,3] => [4,5,2,6,3,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,4,5,1,3,2] => [6,4,2,5,3,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,4,5,2,1,3] => [5,4,2,6,3,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,4,5,2,3,1] => [4,2,6,5,3,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,4,5,3,1,2] => [5,2,6,4,3,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,4,5,3,2,1] => [2,6,5,4,3,1] => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 14
[6,5,1,2,3,4] => [3,4,5,6,2,1] => [4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 9
[6,5,1,2,4,3] => [6,3,4,5,2,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,5,1,3,2,4] => [5,3,4,6,2,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,5,1,3,4,2] => [4,6,3,5,2,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,5,1,4,2,3] => [5,6,3,4,2,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,5,1,4,3,2] => [6,5,3,4,2,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,5,2,1,3,4] => [4,3,5,6,2,1] => [1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 10
[6,5,2,1,4,3] => [3,6,4,5,2,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,5,2,3,1,4] => [3,5,4,6,2,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,5,2,3,4,1] => [3,4,6,5,2,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,5,2,4,1,3] => [3,5,6,4,2,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,5,2,4,3,1] => [6,3,5,4,2,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,5,3,1,2,4] => [4,5,3,6,2,1] => [2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 11
[6,5,3,1,4,2] => [6,4,3,5,2,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,5,3,2,1,4] => [5,4,3,6,2,1] => [1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 12
[6,5,3,2,4,1] => [4,3,6,5,2,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,5,3,4,1,2] => [5,3,6,4,2,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,5,3,4,2,1] => [3,6,5,4,2,1] => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 14
[6,5,4,1,2,3] => [4,5,6,3,2,1] => [3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 12
[6,5,4,1,3,2] => [6,4,5,3,2,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,5,4,2,1,3] => [5,4,6,3,2,1] => [1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 13
[6,5,4,2,3,1] => [4,6,5,3,2,1] => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 14
[6,5,4,3,1,2] => [5,6,4,3,2,1] => [2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 14
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 15
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
[1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,6,5,7] => [6,1,2,3,4,5,7] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,6,7,5] => [5,7,1,2,3,4,6] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,4,7,5,6] => [6,7,1,2,3,4,5] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,4,7,6,5] => [7,6,1,2,3,4,5] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,3,5,4,6,7] => [5,1,2,3,4,6,7] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,4,7,6] => [4,7,1,2,3,5,6] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,5,6,4,7] => [4,6,1,2,3,5,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,5,6,7,4] => [4,5,7,1,2,3,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,3,5,7,4,6] => [4,6,7,1,2,3,5] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,3,5,7,6,4] => [7,4,6,1,2,3,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,6,4,5,7] => [5,6,1,2,3,4,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,6,4,7,5] => [7,5,1,2,3,4,6] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,3,6,5,4,7] => [6,5,1,2,3,4,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,3,6,5,7,4] => [5,4,7,1,2,3,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,6,7,4,5] => [6,4,7,1,2,3,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,6,7,5,4] => [4,7,6,1,2,3,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,4,5,6] => [5,6,7,1,2,3,4] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,3,7,4,6,5] => [7,5,6,1,2,3,4] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,7,5,4,6] => [6,5,7,1,2,3,4] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,7,5,6,4] => [5,7,6,1,2,3,4] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,6,4,5] => [6,7,5,1,2,3,4] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,3,5,6,7] => [4,1,2,3,5,6,7] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,5,7,6] => [3,7,1,2,4,5,6] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,4,3,6,5,7] => [3,6,1,2,4,5,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,4,3,6,7,5] => [3,5,7,1,2,4,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,3,7,5,6] => [3,6,7,1,2,4,5] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,3,7,6,5] => [7,3,6,1,2,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,4,5,3,6,7] => [3,5,1,2,4,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,4,5,3,7,6] => [3,4,7,1,2,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,5,6,3,7] => [3,4,6,1,2,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,5,6,7,3] => [3,4,5,7,1,2,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,2,4,5,7,3,6] => [3,4,6,7,1,2,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,2,4,5,7,6,3] => [7,3,4,6,1,2,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,4,6,3,5,7] => [3,5,6,1,2,4,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,4,6,3,7,5] => [7,3,5,1,2,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,4,6,5,3,7] => [6,3,5,1,2,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,4,6,5,7,3] => [5,3,4,7,1,2,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,4,6,7,3,5] => [6,3,4,7,1,2,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,4,6,7,5,3] => [4,7,3,6,1,2,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,7,3,5,6] => [3,5,6,7,1,2,4] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,2,4,7,3,6,5] => [7,3,5,6,1,2,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,4,7,5,3,6] => [6,3,5,7,1,2,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,4,7,5,6,3] => [5,7,3,6,1,2,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,7,6,3,5] => [6,7,3,5,1,2,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,4,7,6,5,3] => [7,6,3,5,1,2,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,5,3,4,6,7] => [4,5,1,2,3,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,5,3,4,7,6] => [7,4,1,2,3,5,6] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,5,3,6,4,7] => [6,4,1,2,3,5,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,5,3,6,7,4] => [5,3,7,1,2,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,3,7,4,6] => [6,3,7,1,2,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,3,7,6,4] => [3,7,6,1,2,4,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,4,3,6,7] => [5,4,1,2,3,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,5,4,3,7,6] => [4,3,7,1,2,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,4,6,3,7] => [4,3,6,1,2,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,4,6,7,3] => [4,3,5,7,1,2,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,5,4,7,3,6] => [4,3,6,7,1,2,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,5,4,7,6,3] => [3,7,4,6,1,2,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,5,6,3,4,7] => [5,3,6,1,2,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,5,6,3,7,4] => [3,7,5,1,2,4,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,6,4,3,7] => [3,6,5,1,2,4,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,6,4,7,3] => [3,5,4,7,1,2,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,5,6,7,3,4] => [3,6,4,7,1,2,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,5,6,7,4,3] => [3,4,7,6,1,2,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,5,7,3,4,6] => [5,3,6,7,1,2,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,5,7,3,6,4] => [3,7,5,6,1,2,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,5,7,4,3,6] => [3,6,5,7,1,2,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,5,7,4,6,3] => [3,5,7,6,1,2,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,5,7,6,3,4] => [3,6,7,5,1,2,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,5,7,6,4,3] => [7,3,6,5,1,2,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,6,3,4,5,7] => [4,5,6,1,2,3,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,6,3,4,7,5] => [7,4,5,1,2,3,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,6,3,5,4,7] => [6,4,5,1,2,3,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,6,3,5,7,4] => [5,7,4,1,2,3,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,3,7,4,5] => [6,7,4,1,2,3,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,3,7,5,4] => [7,6,4,1,2,3,5] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,4,3,5,7] => [5,4,6,1,2,3,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,6,4,3,7,5] => [4,7,5,1,2,3,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,4,5,3,7] => [4,6,5,1,2,3,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,4,5,7,3] => [4,5,3,7,1,2,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,6,4,7,3,5] => [4,6,3,7,1,2,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,6,4,7,5,3] => [7,4,3,6,1,2,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,6,5,3,4,7] => [5,6,4,1,2,3,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,5,3,7,4] => [7,5,4,1,2,3,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,5,4,3,7] => [6,5,4,1,2,3,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,5,4,7,3] => [5,4,3,7,1,2,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,6,5,7,3,4] => [6,4,3,7,1,2,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,6,5,7,4,3] => [4,3,7,6,1,2,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,6,7,3,4,5] => [5,6,3,7,1,2,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,6,7,3,5,4] => [7,5,3,6,1,2,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,6,7,4,3,5] => [6,5,3,7,1,2,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,6,7,4,5,3] => [5,3,7,6,1,2,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,6,7,5,3,4] => [6,3,7,5,1,2,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,6,7,5,4,3] => [3,7,6,5,1,2,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,2,7,3,4,5,6] => [4,5,6,7,1,2,3] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,2,7,3,4,6,5] => [7,4,5,6,1,2,3] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,7,3,5,4,6] => [6,4,5,7,1,2,3] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,7,3,5,6,4] => [5,7,4,6,1,2,3] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,7,3,6,4,5] => [6,7,4,5,1,2,3] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,7,3,6,5,4] => [7,6,4,5,1,2,3] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,7,4,3,5,6] => [5,4,6,7,1,2,3] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,2,7,4,3,6,5] => [4,7,5,6,1,2,3] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,7,4,5,3,6] => [4,6,5,7,1,2,3] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,7,4,5,6,3] => [4,5,7,6,1,2,3] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,7,4,6,3,5] => [4,6,7,5,1,2,3] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,7,4,6,5,3] => [7,4,6,5,1,2,3] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,7,5,3,4,6] => [5,6,4,7,1,2,3] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,2,7,5,3,6,4] => [7,5,4,6,1,2,3] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,7,5,4,3,6] => [6,5,4,7,1,2,3] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,2,7,5,4,6,3] => [5,4,7,6,1,2,3] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,7,5,6,3,4] => [6,4,7,5,1,2,3] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,7,5,6,4,3] => [4,7,6,5,1,2,3] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,2,7,6,3,4,5] => [5,6,7,4,1,2,3] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,2,7,6,3,5,4] => [7,5,6,4,1,2,3] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,7,6,4,3,5] => [6,5,7,4,1,2,3] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,2,7,6,4,5,3] => [5,7,6,4,1,2,3] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,2,7,6,5,3,4] => [6,7,5,4,1,2,3] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,3,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,5,7,6] => [2,7,1,3,4,5,6] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,2,4,6,5,7] => [2,6,1,3,4,5,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,2,4,6,7,5] => [2,5,7,1,3,4,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,2,4,7,5,6] => [2,6,7,1,3,4,5] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,2,4,7,6,5] => [7,2,6,1,3,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,2,5,4,6,7] => [2,5,1,3,4,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,2,5,4,7,6] => [2,4,7,1,3,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,2,5,6,4,7] => [2,4,6,1,3,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,2,5,6,7,4] => [2,4,5,7,1,3,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,2,5,7,4,6] => [2,4,6,7,1,3,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,2,5,7,6,4] => [7,2,4,6,1,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,2,6,4,5,7] => [2,5,6,1,3,4,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,2,6,4,7,5] => [7,2,5,1,3,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,2,6,5,4,7] => [6,2,5,1,3,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,2,6,5,7,4] => [5,2,4,7,1,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,2,6,7,4,5] => [6,2,4,7,1,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,2,6,7,5,4] => [4,7,2,6,1,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,2,7,4,5,6] => [2,5,6,7,1,3,4] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,2,7,4,6,5] => [7,2,5,6,1,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,2,7,5,4,6] => [6,2,5,7,1,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,2,7,5,6,4] => [5,7,2,6,1,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,2,7,6,4,5] => [6,7,2,5,1,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,2,7,6,5,4] => [7,6,2,5,1,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,4,2,5,7,6] => [2,3,7,1,4,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,4,2,6,5,7] => [2,3,6,1,4,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,4,2,6,7,5] => [2,3,5,7,1,4,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,4,2,7,5,6] => [2,3,6,7,1,4,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,4,2,7,6,5] => [7,2,3,6,1,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,4,5,2,6,7] => [2,3,5,1,4,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,4,5,2,7,6] => [2,3,4,7,1,5,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,4,5,6,2,7] => [2,3,4,6,1,5,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,4,5,6,7,2] => [2,3,4,5,7,1,6] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,3,4,5,7,2,6] => [2,3,4,6,7,1,5] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,3,4,5,7,6,2] => [7,2,3,4,6,1,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,4,6,2,5,7] => [2,3,5,6,1,4,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,4,6,2,7,5] => [7,2,3,5,1,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,4,6,5,2,7] => [6,2,3,5,1,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,4,6,5,7,2] => [5,2,3,4,7,1,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,4,6,7,2,5] => [6,2,3,4,7,1,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,4,6,7,5,2] => [4,7,2,3,6,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,4,7,2,5,6] => [2,3,5,6,7,1,4] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,3,4,7,2,6,5] => [7,2,3,5,6,1,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,4,7,5,2,6] => [6,2,3,5,7,1,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,4,7,5,6,2] => [5,7,2,3,6,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,4,7,6,2,5] => [6,7,2,3,5,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,4,7,6,5,2] => [7,6,2,3,5,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,5,2,4,6,7] => [2,4,5,1,3,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,5,2,4,7,6] => [7,2,4,1,3,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,5,2,6,4,7] => [6,2,4,1,3,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,5,2,6,7,4] => [5,2,3,7,1,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,5,2,7,4,6] => [6,2,3,7,1,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,5,2,7,6,4] => [3,7,2,6,1,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,5,4,2,6,7] => [5,2,4,1,3,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,3,5,4,2,7,6] => [4,2,3,7,1,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,5,4,6,2,7] => [4,2,3,6,1,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,5,4,6,7,2] => [4,2,3,5,7,1,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,5,4,7,2,6] => [4,2,3,6,7,1,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,5,4,7,6,2] => [3,7,2,4,6,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,5,6,2,4,7] => [5,2,3,6,1,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,5,6,2,7,4] => [3,7,2,5,1,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,5,6,4,2,7] => [3,6,2,5,1,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,5,6,4,7,2] => [3,5,2,4,7,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,5,6,7,2,4] => [3,6,2,4,7,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,5,6,7,4,2] => [3,4,7,2,6,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,5,7,2,4,6] => [5,2,3,6,7,1,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,5,7,2,6,4] => [3,7,2,5,6,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,5,7,4,2,6] => [3,6,2,5,7,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,5,7,4,6,2] => [3,5,7,2,6,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,5,7,6,2,4] => [3,6,7,2,5,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,5,7,6,4,2] => [7,3,6,2,5,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,6,2,4,5,7] => [2,4,5,6,1,3,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,3,6,2,4,7,5] => [7,2,4,5,1,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,6,2,5,4,7] => [6,2,4,5,1,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,6,2,5,7,4] => [5,7,2,4,1,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,6,2,7,4,5] => [6,7,2,4,1,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,6,2,7,5,4] => [7,6,2,4,1,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,3,6,4,2,5,7] => [5,2,4,6,1,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,3,6,4,2,7,5] => [4,7,2,5,1,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,6,4,5,2,7] => [4,6,2,5,1,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,6,4,5,7,2] => [4,5,2,3,7,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,6,4,7,2,5] => [4,6,2,3,7,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,6,4,7,5,2] => [7,4,2,3,6,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,6,5,2,4,7] => [5,6,2,4,1,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,6,5,2,7,4] => [7,5,2,4,1,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,3,6,5,4,2,7] => [6,5,2,4,1,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,3,6,5,4,7,2] => [5,4,2,3,7,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,6,5,7,2,4] => [6,4,2,3,7,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,6,5,7,4,2] => [4,3,7,2,6,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,6,7,2,4,5] => [5,6,2,3,7,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,6,7,2,5,4] => [7,5,2,3,6,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,6,7,4,2,5] => [6,5,2,3,7,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,6,7,4,5,2] => [5,3,7,2,6,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,6,7,5,2,4] => [6,3,7,2,5,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,6,7,5,4,2] => [3,7,6,2,5,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,3,7,2,4,5,6] => [2,4,5,6,7,1,3] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,3,7,2,4,6,5] => [7,2,4,5,6,1,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,7,2,5,4,6] => [6,2,4,5,7,1,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,7,2,5,6,4] => [5,7,2,4,6,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,7,2,6,4,5] => [6,7,2,4,5,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,7,2,6,5,4] => [7,6,2,4,5,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,7,4,2,5,6] => [5,2,4,6,7,1,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,3,7,4,2,6,5] => [4,7,2,5,6,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,7,4,5,2,6] => [4,6,2,5,7,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,7,4,5,6,2] => [4,5,7,2,6,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,7,4,6,2,5] => [4,6,7,2,5,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,7,4,6,5,2] => [7,4,6,2,5,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,7,5,2,4,6] => [5,6,2,4,7,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,3,7,5,2,6,4] => [7,5,2,4,6,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,7,5,4,2,6] => [6,5,2,4,7,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,3,7,5,4,6,2] => [5,4,7,2,6,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,7,5,6,2,4] => [6,4,7,2,5,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,7,5,6,4,2] => [4,7,6,2,5,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,3,7,6,2,4,5] => [5,6,7,2,4,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,3,7,6,2,5,4] => [7,5,6,2,4,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,7,6,4,2,5] => [6,5,7,2,4,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,3,7,6,4,5,2] => [5,7,6,2,4,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,3,7,6,5,2,4] => [6,7,5,2,4,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,3,7,6,5,4,2] => [7,6,5,2,4,1,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,4,2,3,5,6,7] => [3,4,1,2,5,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,4,2,3,5,7,6] => [7,3,1,2,4,5,6] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,4,2,3,6,5,7] => [6,3,1,2,4,5,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,4,2,3,6,7,5] => [5,2,7,1,3,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,3,7,5,6] => [6,2,7,1,3,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,3,7,6,5] => [2,7,6,1,3,4,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,2,5,3,6,7] => [5,3,1,2,4,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,4,2,5,3,7,6] => [4,2,7,1,3,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,5,6,3,7] => [4,2,6,1,3,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,5,6,7,3] => [4,2,5,7,1,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,2,5,7,3,6] => [4,2,6,7,1,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,2,5,7,6,3] => [2,7,4,6,1,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,6,3,5,7] => [5,2,6,1,3,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,2,6,3,7,5] => [2,7,5,1,3,4,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,2,6,5,3,7] => [2,6,5,1,3,4,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,2,6,5,7,3] => [2,5,4,7,1,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,6,7,3,5] => [2,6,4,7,1,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,6,7,5,3] => [2,4,7,6,1,3,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,2,7,3,5,6] => [5,2,6,7,1,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,2,7,3,6,5] => [2,7,5,6,1,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,7,5,3,6] => [2,6,5,7,1,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,2,7,5,6,3] => [2,5,7,6,1,3,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,2,7,6,3,5] => [2,6,7,5,1,3,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,2,7,6,5,3] => [7,2,6,5,1,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,4,3,2,5,6,7] => [4,3,1,2,5,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,4,3,2,5,7,6] => [3,2,7,1,4,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,2,6,5,7] => [3,2,6,1,4,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,2,6,7,5] => [3,2,5,7,1,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,3,2,7,5,6] => [3,2,6,7,1,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,3,2,7,6,5] => [2,7,3,6,1,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,3,5,2,6,7] => [3,2,5,1,4,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,3,5,2,7,6] => [3,2,4,7,1,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,3,5,6,2,7] => [3,2,4,6,1,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,3,5,6,7,2] => [3,2,4,5,7,1,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,4,3,5,7,2,6] => [3,2,4,6,7,1,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,4,3,5,7,6,2] => [2,7,3,4,6,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,3,6,2,5,7] => [3,2,5,6,1,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,3,6,2,7,5] => [2,7,3,5,1,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,3,6,5,2,7] => [2,6,3,5,1,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,3,6,5,7,2] => [2,5,3,4,7,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,3,6,7,2,5] => [2,6,3,4,7,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,3,6,7,5,2] => [2,4,7,3,6,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,3,7,2,5,6] => [3,2,5,6,7,1,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,4,3,7,2,6,5] => [2,7,3,5,6,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,3,7,5,2,6] => [2,6,3,5,7,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,3,7,5,6,2] => [2,5,7,3,6,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,3,7,6,2,5] => [2,6,7,3,5,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,3,7,6,5,2] => [7,2,6,3,5,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,5,2,3,6,7] => [4,2,5,1,3,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,4,5,2,3,7,6] => [2,7,4,1,3,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,6,3,7] => [2,6,4,1,3,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,6,7,3] => [2,5,3,7,1,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,5,2,7,3,6] => [2,6,3,7,1,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,5,2,7,6,3] => [2,3,7,6,1,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,5,3,2,6,7] => [2,5,4,1,3,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,3,2,7,6] => [2,4,3,7,1,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,5,3,6,2,7] => [2,4,3,6,1,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,5,3,6,7,2] => [2,4,3,5,7,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,5,3,7,2,6] => [2,4,3,6,7,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,5,3,7,6,2] => [2,3,7,4,6,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,5,6,2,3,7] => [2,5,3,6,1,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,5,6,2,7,3] => [2,3,7,5,1,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,5,6,3,2,7] => [2,3,6,5,1,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,5,6,3,7,2] => [2,3,5,4,7,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,5,6,7,2,3] => [2,3,6,4,7,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,5,6,7,3,2] => [2,3,4,7,6,1,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,5,7,2,3,6] => [2,5,3,6,7,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,5,7,2,6,3] => [2,3,7,5,6,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,5,7,3,2,6] => [2,3,6,5,7,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,5,7,3,6,2] => [2,3,5,7,6,1,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,5,7,6,2,3] => [2,3,6,7,5,1,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,5,7,6,3,2] => [7,2,3,6,5,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,6,2,3,5,7] => [4,2,5,6,1,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,4,6,2,3,7,5] => [2,7,4,5,1,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,6,2,5,3,7] => [2,6,4,5,1,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,6,2,5,7,3] => [2,5,7,4,1,3,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,6,2,7,3,5] => [2,6,7,4,1,3,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,6,2,7,5,3] => [7,2,6,4,1,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,4,6,3,2,5,7] => [2,5,4,6,1,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,4,6,3,2,7,5] => [2,4,7,5,1,3,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,6,3,5,2,7] => [2,4,6,5,1,3,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,6,3,5,7,2] => [2,4,5,3,7,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,6,3,7,2,5] => [2,4,6,3,7,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,6,3,7,5,2] => [7,2,4,3,6,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,6,5,2,3,7] => [2,5,6,4,1,3,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,4,6,5,2,7,3] => [7,2,5,4,1,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,4,6,5,3,2,7] => [6,2,5,4,1,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,4,6,5,3,7,2] => [5,2,4,3,7,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,6,5,7,2,3] => [6,2,4,3,7,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,6,5,7,3,2] => [4,2,3,7,6,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,6,7,2,3,5] => [2,5,6,3,7,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,6,7,2,5,3] => [7,2,5,3,6,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,6,7,3,2,5] => [6,2,5,3,7,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,6,7,3,5,2] => [5,2,3,7,6,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,6,7,5,2,3] => [6,2,3,7,5,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,6,7,5,3,2] => [3,7,2,6,5,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,4,7,2,3,5,6] => [4,2,5,6,7,1,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,4,7,2,3,6,5] => [2,7,4,5,6,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,7,2,5,3,6] => [2,6,4,5,7,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,7,2,5,6,3] => [2,5,7,4,6,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,7,2,6,3,5] => [2,6,7,4,5,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,7,2,6,5,3] => [7,2,6,4,5,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,7,3,2,5,6] => [2,5,4,6,7,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,4,7,3,2,6,5] => [2,4,7,5,6,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,7,3,5,2,6] => [2,4,6,5,7,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,7,3,5,6,2] => [2,4,5,7,6,1,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,7,3,6,2,5] => [2,4,6,7,5,1,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,7,3,6,5,2] => [7,2,4,6,5,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,7,5,2,3,6] => [2,5,6,4,7,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,4,7,5,2,6,3] => [7,2,5,4,6,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,7,5,3,2,6] => [6,2,5,4,7,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,4,7,5,3,6,2] => [5,2,4,7,6,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,7,5,6,2,3] => [6,2,4,7,5,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,7,5,6,3,2] => [4,7,2,6,5,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,4,7,6,2,3,5] => [2,5,6,7,4,1,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,4,7,6,2,5,3] => [7,2,5,6,4,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,7,6,3,2,5] => [6,2,5,7,4,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,4,7,6,3,5,2] => [5,7,2,6,4,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,4,7,6,5,2,3] => [6,7,2,5,4,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,4,7,6,5,3,2] => [7,6,2,5,4,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,5,2,3,4,6,7] => [3,4,5,1,2,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,2,3,4,7,6] => [7,3,4,1,2,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,2,3,6,4,7] => [6,3,4,1,2,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,2,3,6,7,4] => [5,7,3,1,2,4,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,3,7,4,6] => [6,7,3,1,2,4,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,3,7,6,4] => [7,6,3,1,2,4,5] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,4,3,6,7] => [5,3,4,1,2,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,2,4,3,7,6] => [4,7,3,1,2,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,4,6,3,7] => [4,6,3,1,2,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,4,6,7,3] => [4,5,2,7,1,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,2,4,7,3,6] => [4,6,2,7,1,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,2,4,7,6,3] => [7,4,2,6,1,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,2,6,3,4,7] => [5,6,3,1,2,4,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,6,3,7,4] => [7,5,3,1,2,4,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,6,4,3,7] => [6,5,3,1,2,4,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,6,4,7,3] => [5,4,2,7,1,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,2,6,7,3,4] => [6,4,2,7,1,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,2,6,7,4,3] => [4,2,7,6,1,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,2,7,3,4,6] => [5,6,2,7,1,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,2,7,3,6,4] => [7,5,2,6,1,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,2,7,4,3,6] => [6,5,2,7,1,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,2,7,4,6,3] => [5,2,7,6,1,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,2,7,6,3,4] => [6,2,7,5,1,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,2,7,6,4,3] => [2,7,6,5,1,3,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,5,3,2,4,6,7] => [4,3,5,1,2,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,2,4,7,6] => [3,7,4,1,2,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,3,2,6,4,7] => [3,6,4,1,2,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,3,2,6,7,4] => [3,5,2,7,1,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,3,2,7,4,6] => [3,6,2,7,1,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,3,2,7,6,4] => [7,3,2,6,1,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,3,4,2,6,7] => [3,5,4,1,2,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,3,4,2,7,6] => [3,4,2,7,1,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,3,4,6,2,7] => [3,4,2,6,1,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,3,4,6,7,2] => [3,4,2,5,7,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,5,3,4,7,2,6] => [3,4,2,6,7,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,5,3,4,7,6,2] => [7,3,2,4,6,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,3,6,2,4,7] => [3,5,2,6,1,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,3,6,2,7,4] => [7,3,2,5,1,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,3,6,4,2,7] => [6,3,2,5,1,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,3,6,4,7,2] => [5,3,2,4,7,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,3,6,7,2,4] => [6,3,2,4,7,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,3,6,7,4,2] => [4,2,7,3,6,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,3,7,2,4,6] => [3,5,2,6,7,1,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,5,3,7,2,6,4] => [7,3,2,5,6,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,3,7,4,2,6] => [6,3,2,5,7,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,3,7,4,6,2] => [5,2,7,3,6,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,3,7,6,2,4] => [6,2,7,3,5,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,3,7,6,4,2] => [2,7,6,3,5,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,4,2,3,6,7] => [4,5,3,1,2,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,5,4,2,3,7,6] => [7,4,3,1,2,5,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,4,2,6,3,7] => [6,4,3,1,2,5,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,4,2,6,7,3] => [5,3,2,7,1,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,4,2,7,3,6] => [6,3,2,7,1,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,4,2,7,6,3] => [3,2,7,6,1,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,4,3,2,6,7] => [5,4,3,1,2,6,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,5,4,3,2,7,6] => [4,3,2,7,1,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,4,3,6,2,7] => [4,3,2,6,1,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,4,3,6,7,2] => [4,3,2,5,7,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,4,3,7,2,6] => [4,3,2,6,7,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,4,3,7,6,2] => [3,2,7,4,6,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,4,6,2,3,7] => [5,3,2,6,1,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,4,6,2,7,3] => [3,2,7,5,1,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,4,6,3,2,7] => [3,2,6,5,1,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,4,6,3,7,2] => [3,2,5,4,7,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,4,6,7,2,3] => [3,2,6,4,7,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,4,6,7,3,2] => [3,2,4,7,6,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,4,7,2,3,6] => [5,3,2,6,7,1,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,4,7,2,6,3] => [3,2,7,5,6,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,4,7,3,2,6] => [3,2,6,5,7,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,4,7,3,6,2] => [3,2,5,7,6,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,4,7,6,2,3] => [3,2,6,7,5,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,4,7,6,3,2] => [2,7,3,6,5,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,6,2,3,4,7] => [4,5,2,6,1,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,5,6,2,3,7,4] => [7,4,2,5,1,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,6,2,4,3,7] => [6,4,2,5,1,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,6,2,4,7,3] => [5,2,7,4,1,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,6,2,7,3,4] => [6,2,7,4,1,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,6,2,7,4,3] => [2,7,6,4,1,3,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,5,6,3,2,4,7] => [5,4,2,6,1,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,5,6,3,2,7,4] => [4,2,7,5,1,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,6,3,4,2,7] => [4,2,6,5,1,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,6,3,4,7,2] => [4,2,5,3,7,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,6,3,7,2,4] => [4,2,6,3,7,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,6,3,7,4,2] => [2,7,4,3,6,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,6,4,2,3,7] => [5,2,6,4,1,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,5,6,4,2,7,3] => [2,7,5,4,1,3,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,5,6,4,3,2,7] => [2,6,5,4,1,3,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,5,6,4,3,7,2] => [2,5,4,3,7,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,6,4,7,2,3] => [2,6,4,3,7,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,6,4,7,3,2] => [2,4,3,7,6,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,6,7,2,3,4] => [5,2,6,3,7,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,6,7,2,4,3] => [2,7,5,3,6,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,6,7,3,2,4] => [2,6,5,3,7,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,6,7,3,4,2] => [2,5,3,7,6,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,6,7,4,2,3] => [2,6,3,7,5,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,6,7,4,3,2] => [2,3,7,6,5,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,5,7,2,3,4,6] => [4,5,2,6,7,1,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,5,7,2,3,6,4] => [7,4,2,5,6,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,7,2,4,3,6] => [6,4,2,5,7,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,7,2,4,6,3] => [5,2,7,4,6,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,7,2,6,3,4] => [6,2,7,4,5,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,7,2,6,4,3] => [2,7,6,4,5,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,7,3,2,4,6] => [5,4,2,6,7,1,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,5,7,3,2,6,4] => [4,2,7,5,6,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,7,3,4,2,6] => [4,2,6,5,7,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,7,3,4,6,2] => [4,2,5,7,6,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,7,3,6,2,4] => [4,2,6,7,5,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,7,3,6,4,2] => [2,7,4,6,5,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,7,4,2,3,6] => [5,2,6,4,7,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,5,7,4,2,6,3] => [2,7,5,4,6,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,7,4,3,2,6] => [2,6,5,4,7,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,5,7,4,3,6,2] => [2,5,4,7,6,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,7,4,6,2,3] => [2,6,4,7,5,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,7,4,6,3,2] => [2,4,7,6,5,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,5,7,6,2,3,4] => [5,2,6,7,4,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,5,7,6,2,4,3] => [2,7,5,6,4,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,7,6,3,2,4] => [2,6,5,7,4,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,5,7,6,3,4,2] => [2,5,7,6,4,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,5,7,6,4,2,3] => [2,6,7,5,4,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,5,7,6,4,3,2] => [7,2,6,5,4,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,6,2,3,4,5,7] => [3,4,5,6,1,2,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[1,6,2,3,4,7,5] => [7,3,4,5,1,2,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,6,2,3,5,4,7] => [6,3,4,5,1,2,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,6,2,3,5,7,4] => [5,7,3,4,1,2,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,2,3,7,4,5] => [6,7,3,4,1,2,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,2,3,7,5,4] => [7,6,3,4,1,2,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,2,4,3,5,7] => [5,3,4,6,1,2,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,6,2,4,3,7,5] => [4,7,3,5,1,2,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,2,4,5,3,7] => [4,6,3,5,1,2,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,2,4,5,7,3] => [4,5,7,3,1,2,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,2,4,7,3,5] => [4,6,7,3,1,2,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,2,4,7,5,3] => [7,4,6,3,1,2,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,2,5,3,4,7] => [5,6,3,4,1,2,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,2,5,3,7,4] => [7,5,3,4,1,2,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,2,5,4,3,7] => [6,5,3,4,1,2,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,2,5,4,7,3] => [5,4,7,3,1,2,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,2,5,7,3,4] => [6,4,7,3,1,2,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,2,5,7,4,3] => [4,7,6,3,1,2,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,2,7,3,4,5] => [5,6,7,3,1,2,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,2,7,3,5,4] => [7,5,6,3,1,2,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,2,7,4,3,5] => [6,5,7,3,1,2,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,2,7,4,5,3] => [5,7,6,3,1,2,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,2,7,5,3,4] => [6,7,5,3,1,2,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,2,7,5,4,3] => [7,6,5,3,1,2,4] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,6,3,2,4,5,7] => [4,3,5,6,1,2,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[1,6,3,2,4,7,5] => [3,7,4,5,1,2,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,3,2,5,4,7] => [3,6,4,5,1,2,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,3,2,5,7,4] => [3,5,7,4,1,2,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,3,2,7,4,5] => [3,6,7,4,1,2,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,3,2,7,5,4] => [7,3,6,4,1,2,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,3,4,2,5,7] => [3,5,4,6,1,2,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,3,4,2,7,5] => [3,4,7,5,1,2,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,3,4,5,2,7] => [3,4,6,5,1,2,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,3,4,5,7,2] => [3,4,5,2,7,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,6,3,4,7,2,5] => [3,4,6,2,7,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,6,3,4,7,5,2] => [7,3,4,2,6,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,3,5,2,4,7] => [3,5,6,4,1,2,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,3,5,2,7,4] => [7,3,5,4,1,2,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,3,5,4,2,7] => [6,3,5,4,1,2,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,3,5,4,7,2] => [5,3,4,2,7,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,3,5,7,2,4] => [6,3,4,2,7,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,3,5,7,4,2] => [4,7,3,2,6,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,3,7,2,4,5] => [3,5,6,2,7,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,6,3,7,2,5,4] => [7,3,5,2,6,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,3,7,4,2,5] => [6,3,5,2,7,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,3,7,4,5,2] => [5,7,3,2,6,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,3,7,5,2,4] => [6,7,3,2,5,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,3,7,5,4,2] => [7,6,3,2,5,1,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,4,2,3,5,7] => [4,5,3,6,1,2,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,6,4,2,3,7,5] => [7,4,3,5,1,2,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,4,2,5,3,7] => [6,4,3,5,1,2,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,4,2,5,7,3] => [5,3,7,4,1,2,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,4,2,7,3,5] => [6,3,7,4,1,2,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,4,2,7,5,3] => [3,7,6,4,1,2,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,4,3,2,5,7] => [5,4,3,6,1,2,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[1,6,4,3,2,7,5] => [4,3,7,5,1,2,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,4,3,5,2,7] => [4,3,6,5,1,2,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,4,3,5,7,2] => [4,3,5,2,7,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,4,3,7,2,5] => [4,3,6,2,7,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,4,3,7,5,2] => [3,7,4,2,6,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,4,5,2,3,7] => [5,3,6,4,1,2,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,4,5,2,7,3] => [3,7,5,4,1,2,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,4,5,3,2,7] => [3,6,5,4,1,2,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,4,5,3,7,2] => [3,5,4,2,7,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,4,5,7,2,3] => [3,6,4,2,7,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,4,5,7,3,2] => [3,4,2,7,6,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,4,7,2,3,5] => [5,3,6,2,7,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,4,7,2,5,3] => [3,7,5,2,6,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,4,7,3,2,5] => [3,6,5,2,7,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,4,7,3,5,2] => [3,5,2,7,6,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,4,7,5,2,3] => [3,6,2,7,5,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,4,7,5,3,2] => [7,3,2,6,5,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,5,2,3,4,7] => [4,5,6,3,1,2,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[1,6,5,2,3,7,4] => [7,4,5,3,1,2,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,5,2,4,3,7] => [6,4,5,3,1,2,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,5,2,4,7,3] => [5,7,4,3,1,2,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,5,2,7,3,4] => [6,7,4,3,1,2,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,5,2,7,4,3] => [7,6,4,3,1,2,5] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,3,2,4,7] => [5,4,6,3,1,2,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[1,6,5,3,2,7,4] => [4,7,5,3,1,2,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,5,3,4,2,7] => [4,6,5,3,1,2,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,5,3,4,7,2] => [4,5,3,2,7,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,5,3,7,2,4] => [4,6,3,2,7,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,5,3,7,4,2] => [7,4,3,2,6,1,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,4,2,3,7] => [5,6,4,3,1,2,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[1,6,5,4,2,7,3] => [7,5,4,3,1,2,6] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,4,3,2,7] => [6,5,4,3,1,2,7] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,4,3,7,2] => [5,4,3,2,7,1,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,4,7,2,3] => [6,4,3,2,7,1,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,4,7,3,2] => [4,3,2,7,6,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,5,7,2,3,4] => [5,6,3,2,7,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,5,7,2,4,3] => [7,5,3,2,6,1,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,7,3,2,4] => [6,5,3,2,7,1,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,7,3,4,2] => [5,3,2,7,6,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,5,7,4,2,3] => [6,3,2,7,5,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,5,7,4,3,2] => [3,2,7,6,5,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,6,7,2,3,4,5] => [4,5,6,2,7,1,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,6,7,2,3,5,4] => [7,4,5,2,6,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,7,2,4,3,5] => [6,4,5,2,7,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,7,2,4,5,3] => [5,7,4,2,6,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,7,2,5,3,4] => [6,7,4,2,5,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,7,2,5,4,3] => [7,6,4,2,5,1,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,7,3,2,4,5] => [5,4,6,2,7,1,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,6,7,3,2,5,4] => [4,7,5,2,6,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,7,3,4,2,5] => [4,6,5,2,7,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,7,3,4,5,2] => [4,5,2,7,6,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,7,3,5,2,4] => [4,6,2,7,5,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,7,3,5,4,2] => [7,4,2,6,5,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,7,4,2,3,5] => [5,6,4,2,7,1,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,6,7,4,2,5,3] => [7,5,4,2,6,1,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,7,4,3,2,5] => [6,5,4,2,7,1,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,6,7,4,3,5,2] => [5,4,2,7,6,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,7,4,5,2,3] => [6,4,2,7,5,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,7,4,5,3,2] => [4,2,7,6,5,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,6,7,5,2,3,4] => [5,6,2,7,4,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,6,7,5,2,4,3] => [7,5,2,6,4,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,7,5,3,2,4] => [6,5,2,7,4,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,6,7,5,3,4,2] => [5,2,7,6,4,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,6,7,5,4,2,3] => [6,2,7,5,4,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,6,7,5,4,3,2] => [2,7,6,5,4,1,3] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,7,2,3,4,5,6] => [3,4,5,6,7,1,2] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,7,2,3,4,6,5] => [7,3,4,5,6,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,7,2,3,5,4,6] => [6,3,4,5,7,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,7,2,3,5,6,4] => [5,7,3,4,6,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,2,3,6,4,5] => [6,7,3,4,5,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,2,3,6,5,4] => [7,6,3,4,5,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,2,4,3,5,6] => [5,3,4,6,7,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,7,2,4,3,6,5] => [4,7,3,5,6,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,2,4,5,3,6] => [4,6,3,5,7,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,2,4,5,6,3] => [4,5,7,3,6,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,2,4,6,3,5] => [4,6,7,3,5,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,2,4,6,5,3] => [7,4,6,3,5,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,2,5,3,4,6] => [5,6,3,4,7,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,2,5,3,6,4] => [7,5,3,4,6,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,2,5,4,3,6] => [6,5,3,4,7,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,2,5,4,6,3] => [5,4,7,3,6,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,2,5,6,3,4] => [6,4,7,3,5,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,2,5,6,4,3] => [4,7,6,3,5,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,2,6,3,4,5] => [5,6,7,3,4,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,2,6,3,5,4] => [7,5,6,3,4,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,2,6,4,3,5] => [6,5,7,3,4,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,2,6,4,5,3] => [5,7,6,3,4,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,2,6,5,3,4] => [6,7,5,3,4,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,2,6,5,4,3] => [7,6,5,3,4,1,2] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,7,3,2,4,5,6] => [4,3,5,6,7,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[1,7,3,2,4,6,5] => [3,7,4,5,6,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,3,2,5,4,6] => [3,6,4,5,7,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,3,2,5,6,4] => [3,5,7,4,6,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,3,2,6,4,5] => [3,6,7,4,5,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,3,2,6,5,4] => [7,3,6,4,5,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,3,4,2,5,6] => [3,5,4,6,7,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,3,4,2,6,5] => [3,4,7,5,6,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,3,4,5,2,6] => [3,4,6,5,7,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,3,4,5,6,2] => [3,4,5,7,6,1,2] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,7,3,4,6,2,5] => [3,4,6,7,5,1,2] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,7,3,4,6,5,2] => [7,3,4,6,5,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,3,5,2,4,6] => [3,5,6,4,7,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,3,5,2,6,4] => [7,3,5,4,6,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,3,5,4,2,6] => [6,3,5,4,7,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,3,5,4,6,2] => [5,3,4,7,6,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,3,5,6,2,4] => [6,3,4,7,5,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,3,5,6,4,2] => [4,7,3,6,5,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,3,6,2,4,5] => [3,5,6,7,4,1,2] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,7,3,6,2,5,4] => [7,3,5,6,4,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,3,6,4,2,5] => [6,3,5,7,4,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,3,6,4,5,2] => [5,7,3,6,4,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,3,6,5,2,4] => [6,7,3,5,4,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,3,6,5,4,2] => [7,6,3,5,4,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,4,2,3,5,6] => [4,5,3,6,7,1,2] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[1,7,4,2,3,6,5] => [7,4,3,5,6,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,4,2,5,3,6] => [6,4,3,5,7,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,4,2,5,6,3] => [5,3,7,4,6,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,4,2,6,3,5] => [6,3,7,4,5,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,4,2,6,5,3] => [3,7,6,4,5,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,4,3,2,5,6] => [5,4,3,6,7,1,2] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[1,7,4,3,2,6,5] => [4,3,7,5,6,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,4,3,5,2,6] => [4,3,6,5,7,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,4,3,5,6,2] => [4,3,5,7,6,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,4,3,6,2,5] => [4,3,6,7,5,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,4,3,6,5,2] => [3,7,4,6,5,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,4,5,2,3,6] => [5,3,6,4,7,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,4,5,2,6,3] => [3,7,5,4,6,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,4,5,3,2,6] => [3,6,5,4,7,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,4,5,3,6,2] => [3,5,4,7,6,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,4,5,6,2,3] => [3,6,4,7,5,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,4,5,6,3,2] => [3,4,7,6,5,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,4,6,2,3,5] => [5,3,6,7,4,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,4,6,2,5,3] => [3,7,5,6,4,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,4,6,3,2,5] => [3,6,5,7,4,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,4,6,3,5,2] => [3,5,7,6,4,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,4,6,5,2,3] => [3,6,7,5,4,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,4,6,5,3,2] => [7,3,6,5,4,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,5,2,3,4,6] => [4,5,6,3,7,1,2] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[1,7,5,2,3,6,4] => [7,4,5,3,6,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,5,2,4,3,6] => [6,4,5,3,7,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,5,2,4,6,3] => [5,7,4,3,6,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,5,2,6,3,4] => [6,7,4,3,5,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,5,2,6,4,3] => [7,6,4,3,5,1,2] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,7,5,3,2,4,6] => [5,4,6,3,7,1,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[1,7,5,3,2,6,4] => [4,7,5,3,6,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,5,3,4,2,6] => [4,6,5,3,7,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,5,3,4,6,2] => [4,5,3,7,6,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,5,3,6,2,4] => [4,6,3,7,5,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,5,3,6,4,2] => [7,4,3,6,5,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,5,4,2,3,6] => [5,6,4,3,7,1,2] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[1,7,5,4,2,6,3] => [7,5,4,3,6,1,2] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,7,5,4,3,2,6] => [6,5,4,3,7,1,2] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[1,7,5,4,3,6,2] => [5,4,3,7,6,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,5,4,6,2,3] => [6,4,3,7,5,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,5,4,6,3,2] => [4,3,7,6,5,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,5,6,2,3,4] => [5,6,3,7,4,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,5,6,2,4,3] => [7,5,3,6,4,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,5,6,3,2,4] => [6,5,3,7,4,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,5,6,3,4,2] => [5,3,7,6,4,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,5,6,4,2,3] => [6,3,7,5,4,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,5,6,4,3,2] => [3,7,6,5,4,1,2] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,7,6,2,3,4,5] => [4,5,6,7,3,1,2] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[1,7,6,2,3,5,4] => [7,4,5,6,3,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,6,2,4,3,5] => [6,4,5,7,3,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,6,2,4,5,3] => [5,7,4,6,3,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,6,2,5,3,4] => [6,7,4,5,3,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,6,2,5,4,3] => [7,6,4,5,3,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,6,3,2,4,5] => [5,4,6,7,3,1,2] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[1,7,6,3,2,5,4] => [4,7,5,6,3,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,6,3,4,2,5] => [4,6,5,7,3,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,6,3,4,5,2] => [4,5,7,6,3,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,6,3,5,2,4] => [4,6,7,5,3,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,6,3,5,4,2] => [7,4,6,5,3,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,6,4,2,3,5] => [5,6,4,7,3,1,2] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,7,6,4,2,5,3] => [7,5,4,6,3,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,6,4,3,2,5] => [6,5,4,7,3,1,2] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,7,6,4,3,5,2] => [5,4,7,6,3,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,6,4,5,2,3] => [6,4,7,5,3,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,6,4,5,3,2] => [4,7,6,5,3,1,2] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,7,6,5,2,3,4] => [5,6,7,4,3,1,2] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[1,7,6,5,2,4,3] => [7,5,6,4,3,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,6,5,3,2,4] => [6,5,7,4,3,1,2] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[1,7,6,5,3,4,2] => [5,7,6,4,3,1,2] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,7,6,5,4,2,3] => [6,7,5,4,3,1,2] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[1,7,6,5,4,3,2] => [7,6,5,4,3,1,2] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,1,3,4,5,7,6] => [1,7,2,3,4,5,6] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,3,4,6,5,7] => [1,6,2,3,4,5,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,3,4,6,7,5] => [1,5,7,2,3,4,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,4,7,5,6] => [1,6,7,2,3,4,5] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,4,7,6,5] => [7,1,6,2,3,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,5,4,6,7] => [1,5,2,3,4,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,3,5,4,7,6] => [1,4,7,2,3,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,5,6,4,7] => [1,4,6,2,3,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,5,6,7,4] => [1,4,5,7,2,3,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,3,5,7,4,6] => [1,4,6,7,2,3,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,3,5,7,6,4] => [7,1,4,6,2,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,3,6,4,5,7] => [1,5,6,2,3,4,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,6,4,7,5] => [7,1,5,2,3,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,6,5,4,7] => [6,1,5,2,3,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,3,6,5,7,4] => [5,1,4,7,2,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,3,6,7,4,5] => [6,1,4,7,2,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,3,6,7,5,4] => [4,7,1,6,2,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,3,7,4,5,6] => [1,5,6,7,2,3,4] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,3,7,4,6,5] => [7,1,5,6,2,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,3,7,5,4,6] => [6,1,5,7,2,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,3,7,5,6,4] => [5,7,1,6,2,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,3,7,6,4,5] => [6,7,1,5,2,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,3,7,6,5,4] => [7,6,1,5,2,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,4,3,5,7,6] => [1,3,7,2,4,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,4,3,6,5,7] => [1,3,6,2,4,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,4,3,6,7,5] => [1,3,5,7,2,4,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,4,3,7,5,6] => [1,3,6,7,2,4,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,4,3,7,6,5] => [7,1,3,6,2,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,4,5,3,6,7] => [1,3,5,2,4,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,4,5,3,7,6] => [1,3,4,7,2,5,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,4,5,6,3,7] => [1,3,4,6,2,5,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,4,5,6,7,3] => [1,3,4,5,7,2,6] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,1,4,5,7,3,6] => [1,3,4,6,7,2,5] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,1,4,5,7,6,3] => [7,1,3,4,6,2,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,4,6,3,5,7] => [1,3,5,6,2,4,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,4,6,3,7,5] => [7,1,3,5,2,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,4,6,5,3,7] => [6,1,3,5,2,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,4,6,5,7,3] => [5,1,3,4,7,2,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,4,6,7,3,5] => [6,1,3,4,7,2,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,4,6,7,5,3] => [4,7,1,3,6,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,4,7,3,5,6] => [1,3,5,6,7,2,4] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,1,4,7,3,6,5] => [7,1,3,5,6,2,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,4,7,5,3,6] => [6,1,3,5,7,2,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,4,7,5,6,3] => [5,7,1,3,6,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,4,7,6,3,5] => [6,7,1,3,5,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,4,7,6,5,3] => [7,6,1,3,5,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,5,3,4,6,7] => [1,4,5,2,3,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,5,3,4,7,6] => [7,1,4,2,3,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,3,6,4,7] => [6,1,4,2,3,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,3,6,7,4] => [5,1,3,7,2,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,5,3,7,4,6] => [6,1,3,7,2,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,5,3,7,6,4] => [3,7,1,6,2,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,5,4,3,6,7] => [5,1,4,2,3,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,1,5,4,3,7,6] => [4,1,3,7,2,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,5,4,6,3,7] => [4,1,3,6,2,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,5,4,6,7,3] => [4,1,3,5,7,2,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,5,4,7,3,6] => [4,1,3,6,7,2,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,5,4,7,6,3] => [3,7,1,4,6,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,6,3,4,7] => [5,1,3,6,2,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,5,6,3,7,4] => [3,7,1,5,2,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,5,6,4,3,7] => [3,6,1,5,2,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,5,6,4,7,3] => [3,5,1,4,7,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,6,7,3,4] => [3,6,1,4,7,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,6,7,4,3] => [3,4,7,1,6,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,5,7,3,4,6] => [5,1,3,6,7,2,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,5,7,3,6,4] => [3,7,1,5,6,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,7,4,3,6] => [3,6,1,5,7,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,5,7,4,6,3] => [3,5,7,1,6,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,5,7,6,3,4] => [3,6,7,1,5,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,5,7,6,4,3] => [7,3,6,1,5,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,6,3,4,5,7] => [1,4,5,6,2,3,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,1,6,3,4,7,5] => [7,1,4,5,2,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,6,3,5,4,7] => [6,1,4,5,2,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,6,3,5,7,4] => [5,7,1,4,2,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,6,3,7,4,5] => [6,7,1,4,2,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,6,3,7,5,4] => [7,6,1,4,2,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,1,6,4,3,5,7] => [5,1,4,6,2,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,1,6,4,3,7,5] => [4,7,1,5,2,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,6,4,5,3,7] => [4,6,1,5,2,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,6,4,5,7,3] => [4,5,1,3,7,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,6,4,7,3,5] => [4,6,1,3,7,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,6,4,7,5,3] => [7,4,1,3,6,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,6,5,3,4,7] => [5,6,1,4,2,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,1,6,5,3,7,4] => [7,5,1,4,2,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,1,6,5,4,3,7] => [6,5,1,4,2,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,1,6,5,4,7,3] => [5,4,1,3,7,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,6,5,7,3,4] => [6,4,1,3,7,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,6,5,7,4,3] => [4,3,7,1,6,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,6,7,3,4,5] => [5,6,1,3,7,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,6,7,3,5,4] => [7,5,1,3,6,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,6,7,4,3,5] => [6,5,1,3,7,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,6,7,4,5,3] => [5,3,7,1,6,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,6,7,5,3,4] => [6,3,7,1,5,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,6,7,5,4,3] => [3,7,6,1,5,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,1,7,3,4,5,6] => [1,4,5,6,7,2,3] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,1,7,3,4,6,5] => [7,1,4,5,6,2,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,7,3,5,4,6] => [6,1,4,5,7,2,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,7,3,5,6,4] => [5,7,1,4,6,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,7,3,6,4,5] => [6,7,1,4,5,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,7,3,6,5,4] => [7,6,1,4,5,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,7,4,3,5,6] => [5,1,4,6,7,2,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,1,7,4,3,6,5] => [4,7,1,5,6,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,7,4,5,3,6] => [4,6,1,5,7,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,7,4,5,6,3] => [4,5,7,1,6,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,7,4,6,3,5] => [4,6,7,1,5,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,7,4,6,5,3] => [7,4,6,1,5,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,7,5,3,4,6] => [5,6,1,4,7,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,1,7,5,3,6,4] => [7,5,1,4,6,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,7,5,4,3,6] => [6,5,1,4,7,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,1,7,5,4,6,3] => [5,4,7,1,6,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,7,5,6,3,4] => [6,4,7,1,5,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,7,5,6,4,3] => [4,7,6,1,5,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,1,7,6,3,4,5] => [5,6,7,1,4,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,1,7,6,3,5,4] => [7,5,6,1,4,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,7,6,4,3,5] => [6,5,7,1,4,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,1,7,6,4,5,3] => [5,7,6,1,4,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,1,7,6,5,3,4] => [6,7,5,1,4,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,1,7,6,5,4,3] => [7,6,5,1,4,2,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,3,1,4,5,7,6] => [1,2,7,3,4,5,6] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,4,6,5,7] => [1,2,6,3,4,5,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,4,6,7,5] => [1,2,5,7,3,4,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,1,4,7,5,6] => [1,2,6,7,3,4,5] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,1,4,7,6,5] => [7,1,2,6,3,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,1,5,4,6,7] => [1,2,5,3,4,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,5,4,7,6] => [1,2,4,7,3,5,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,1,5,6,4,7] => [1,2,4,6,3,5,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,1,5,6,7,4] => [1,2,4,5,7,3,6] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,1,5,7,4,6] => [1,2,4,6,7,3,5] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,1,5,7,6,4] => [7,1,2,4,6,3,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,1,6,4,5,7] => [1,2,5,6,3,4,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,1,6,4,7,5] => [7,1,2,5,3,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,1,6,5,4,7] => [6,1,2,5,3,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,1,6,5,7,4] => [5,1,2,4,7,3,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,1,6,7,4,5] => [6,1,2,4,7,3,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,1,6,7,5,4] => [4,7,1,2,6,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,1,7,4,5,6] => [1,2,5,6,7,3,4] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,1,7,4,6,5] => [7,1,2,5,6,3,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,1,7,5,4,6] => [6,1,2,5,7,3,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,1,7,5,6,4] => [5,7,1,2,6,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,1,7,6,4,5] => [6,7,1,2,5,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,1,7,6,5,4] => [7,6,1,2,5,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,4,1,5,7,6] => [1,2,3,7,4,5,6] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,4,1,6,5,7] => [1,2,3,6,4,5,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,4,1,6,7,5] => [1,2,3,5,7,4,6] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,4,1,7,5,6] => [1,2,3,6,7,4,5] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,4,1,7,6,5] => [7,1,2,3,6,4,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,4,5,1,7,6] => [1,2,3,4,7,5,6] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[2,3,4,5,7,1,6] => [1,2,3,4,6,7,5] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[2,3,4,5,7,6,1] => [7,1,2,3,4,6,5] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,4,6,1,5,7] => [1,2,3,5,6,4,7] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,4,6,1,7,5] => [7,1,2,3,5,4,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,4,6,5,1,7] => [6,1,2,3,5,4,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,4,6,5,7,1] => [5,1,2,3,4,7,6] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,4,6,7,1,5] => [6,1,2,3,4,7,5] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,4,6,7,5,1] => [4,7,1,2,3,6,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,4,7,1,5,6] => [1,2,3,5,6,7,4] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[2,3,4,7,1,6,5] => [7,1,2,3,5,6,4] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,4,7,5,1,6] => [6,1,2,3,5,7,4] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,4,7,5,6,1] => [5,7,1,2,3,6,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,4,7,6,1,5] => [6,7,1,2,3,5,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,4,7,6,5,1] => [7,6,1,2,3,5,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,5,1,4,6,7] => [1,2,4,5,3,6,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,3,5,1,4,7,6] => [7,1,2,4,3,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,5,1,6,4,7] => [6,1,2,4,3,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,5,1,6,7,4] => [5,1,2,3,7,4,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,5,1,7,4,6] => [6,1,2,3,7,4,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,5,1,7,6,4] => [3,7,1,2,6,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,5,4,1,6,7] => [5,1,2,4,3,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,3,5,4,1,7,6] => [4,1,2,3,7,5,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,5,4,6,1,7] => [4,1,2,3,6,5,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,5,4,6,7,1] => [4,1,2,3,5,7,6] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,5,4,7,1,6] => [4,1,2,3,6,7,5] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,5,4,7,6,1] => [3,7,1,2,4,6,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,5,6,1,4,7] => [5,1,2,3,6,4,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,5,6,1,7,4] => [3,7,1,2,5,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,5,6,4,1,7] => [3,6,1,2,5,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,5,6,4,7,1] => [3,5,1,2,4,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,5,6,7,1,4] => [3,6,1,2,4,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,5,6,7,4,1] => [3,4,7,1,2,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,5,7,1,4,6] => [5,1,2,3,6,7,4] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,5,7,1,6,4] => [3,7,1,2,5,6,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,5,7,4,1,6] => [3,6,1,2,5,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,5,7,4,6,1] => [3,5,7,1,2,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,5,7,6,1,4] => [3,6,7,1,2,5,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,5,7,6,4,1] => [7,3,6,1,2,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,6,1,4,5,7] => [1,2,4,5,6,3,7] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,3,6,1,4,7,5] => [7,1,2,4,5,3,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,6,1,5,4,7] => [6,1,2,4,5,3,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,6,1,5,7,4] => [5,7,1,2,4,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,6,1,7,4,5] => [6,7,1,2,4,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,6,1,7,5,4] => [7,6,1,2,4,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,3,6,4,1,5,7] => [5,1,2,4,6,3,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,3,6,4,1,7,5] => [4,7,1,2,5,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,6,4,5,1,7] => [4,6,1,2,5,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,6,4,5,7,1] => [4,5,1,2,3,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,6,4,7,1,5] => [4,6,1,2,3,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,6,4,7,5,1] => [7,4,1,2,3,6,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,6,5,1,4,7] => [5,6,1,2,4,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,3,6,5,1,7,4] => [7,5,1,2,4,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,3,6,5,4,1,7] => [6,5,1,2,4,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,3,6,5,4,7,1] => [5,4,1,2,3,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,6,5,7,1,4] => [6,4,1,2,3,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,6,5,7,4,1] => [4,3,7,1,2,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,6,7,1,4,5] => [5,6,1,2,3,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,6,7,1,5,4] => [7,5,1,2,3,6,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,6,7,4,1,5] => [6,5,1,2,3,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,6,7,4,5,1] => [5,3,7,1,2,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,6,7,5,1,4] => [6,3,7,1,2,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,6,7,5,4,1] => [3,7,6,1,2,5,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,3,7,1,4,5,6] => [1,2,4,5,6,7,3] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[2,3,7,1,4,6,5] => [7,1,2,4,5,6,3] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,7,1,5,4,6] => [6,1,2,4,5,7,3] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,7,1,5,6,4] => [5,7,1,2,4,6,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,7,1,6,4,5] => [6,7,1,2,4,5,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,7,1,6,5,4] => [7,6,1,2,4,5,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,7,4,1,5,6] => [5,1,2,4,6,7,3] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,3,7,4,1,6,5] => [4,7,1,2,5,6,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,7,4,5,1,6] => [4,6,1,2,5,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,7,4,5,6,1] => [4,5,7,1,2,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,7,4,6,1,5] => [4,6,7,1,2,5,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,7,4,6,5,1] => [7,4,6,1,2,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,7,5,1,4,6] => [5,6,1,2,4,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,3,7,5,1,6,4] => [7,5,1,2,4,6,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,7,5,4,1,6] => [6,5,1,2,4,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,3,7,5,4,6,1] => [5,4,7,1,2,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,7,5,6,1,4] => [6,4,7,1,2,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,7,5,6,4,1] => [4,7,6,1,2,5,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,3,7,6,1,4,5] => [5,6,7,1,2,4,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,3,7,6,1,5,4] => [7,5,6,1,2,4,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,7,6,4,1,5] => [6,5,7,1,2,4,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,3,7,6,4,5,1] => [5,7,6,1,2,4,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,3,7,6,5,1,4] => [6,7,5,1,2,4,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,3,7,6,5,4,1] => [7,6,5,1,2,4,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,4,1,3,5,6,7] => [1,3,4,2,5,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,4,1,3,5,7,6] => [7,1,3,2,4,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,1,3,6,5,7] => [6,1,3,2,4,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,1,3,6,7,5] => [5,1,2,7,3,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,1,3,7,5,6] => [6,1,2,7,3,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,1,3,7,6,5] => [2,7,1,6,3,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,5,3,6,7] => [5,1,3,2,4,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,1,5,3,7,6] => [4,1,2,7,3,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,1,5,6,3,7] => [4,1,2,6,3,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,1,5,6,7,3] => [4,1,2,5,7,3,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,1,5,7,3,6] => [4,1,2,6,7,3,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,1,5,7,6,3] => [2,7,1,4,6,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,1,6,3,5,7] => [5,1,2,6,3,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,1,6,3,7,5] => [2,7,1,5,3,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,6,5,3,7] => [2,6,1,5,3,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,1,6,5,7,3] => [2,5,1,4,7,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,1,6,7,3,5] => [2,6,1,4,7,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,1,6,7,5,3] => [2,4,7,1,6,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,1,7,3,5,6] => [5,1,2,6,7,3,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,1,7,3,6,5] => [2,7,1,5,6,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,1,7,5,3,6] => [2,6,1,5,7,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,1,7,5,6,3] => [2,5,7,1,6,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,1,7,6,3,5] => [2,6,7,1,5,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,1,7,6,5,3] => [7,2,6,1,5,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,4,3,1,5,6,7] => [4,1,3,2,5,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[2,4,3,1,5,7,6] => [3,1,2,7,4,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,3,1,6,5,7] => [3,1,2,6,4,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,3,1,6,7,5] => [3,1,2,5,7,4,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,3,1,7,5,6] => [3,1,2,6,7,4,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,3,1,7,6,5] => [2,7,1,3,6,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,3,5,1,6,7] => [3,1,2,5,4,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,3,5,1,7,6] => [3,1,2,4,7,5,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,3,5,6,1,7] => [3,1,2,4,6,5,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,3,5,6,7,1] => [3,1,2,4,5,7,6] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,4,3,5,7,1,6] => [3,1,2,4,6,7,5] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,4,3,5,7,6,1] => [2,7,1,3,4,6,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,3,6,1,5,7] => [3,1,2,5,6,4,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,3,6,1,7,5] => [2,7,1,3,5,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,3,6,5,1,7] => [2,6,1,3,5,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,3,6,5,7,1] => [2,5,1,3,4,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,3,6,7,1,5] => [2,6,1,3,4,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,3,6,7,5,1] => [2,4,7,1,3,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,3,7,1,5,6] => [3,1,2,5,6,7,4] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,4,3,7,1,6,5] => [2,7,1,3,5,6,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,3,7,5,1,6] => [2,6,1,3,5,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,3,7,5,6,1] => [2,5,7,1,3,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,3,7,6,1,5] => [2,6,7,1,3,5,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,3,7,6,5,1] => [7,2,6,1,3,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,5,1,3,6,7] => [4,1,2,5,3,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,4,5,1,3,7,6] => [2,7,1,4,3,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,6,3,7] => [2,6,1,4,3,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,6,7,3] => [2,5,1,3,7,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,5,1,7,3,6] => [2,6,1,3,7,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,5,1,7,6,3] => [2,3,7,1,6,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,5,3,1,6,7] => [2,5,1,4,3,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,4,5,3,1,7,6] => [2,4,1,3,7,5,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,5,3,6,1,7] => [2,4,1,3,6,5,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,5,3,6,7,1] => [2,4,1,3,5,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,5,3,7,1,6] => [2,4,1,3,6,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,5,3,7,6,1] => [2,3,7,1,4,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,5,6,1,3,7] => [2,5,1,3,6,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,5,6,1,7,3] => [2,3,7,1,5,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,5,6,3,1,7] => [2,3,6,1,5,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,5,6,3,7,1] => [2,3,5,1,4,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,5,6,7,1,3] => [2,3,6,1,4,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,5,6,7,3,1] => [2,3,4,7,1,6,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,5,7,1,3,6] => [2,5,1,3,6,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,5,7,1,6,3] => [2,3,7,1,5,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,5,7,3,1,6] => [2,3,6,1,5,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,5,7,3,6,1] => [2,3,5,7,1,6,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,5,7,6,1,3] => [2,3,6,7,1,5,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,5,7,6,3,1] => [7,2,3,6,1,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,6,1,3,5,7] => [4,1,2,5,6,3,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,4,6,1,3,7,5] => [2,7,1,4,5,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,6,1,5,3,7] => [2,6,1,4,5,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,6,1,5,7,3] => [2,5,7,1,4,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,6,1,7,3,5] => [2,6,7,1,4,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,6,1,7,5,3] => [7,2,6,1,4,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,4,6,3,1,5,7] => [2,5,1,4,6,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,4,6,3,1,7,5] => [2,4,7,1,5,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,6,3,5,1,7] => [2,4,6,1,5,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,6,3,5,7,1] => [2,4,5,1,3,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,6,3,7,1,5] => [2,4,6,1,3,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,6,3,7,5,1] => [7,2,4,1,3,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,6,5,1,3,7] => [2,5,6,1,4,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,4,6,5,1,7,3] => [7,2,5,1,4,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,4,6,5,3,1,7] => [6,2,5,1,4,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,4,6,5,3,7,1] => [5,2,4,1,3,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,6,5,7,1,3] => [6,2,4,1,3,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,6,5,7,3,1] => [4,2,3,7,1,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,6,7,1,3,5] => [2,5,6,1,3,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,6,7,1,5,3] => [7,2,5,1,3,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,6,7,3,1,5] => [6,2,5,1,3,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,6,7,3,5,1] => [5,2,3,7,1,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,6,7,5,1,3] => [6,2,3,7,1,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,6,7,5,3,1] => [3,7,2,6,1,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,4,7,1,3,5,6] => [4,1,2,5,6,7,3] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,4,7,1,3,6,5] => [2,7,1,4,5,6,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,7,1,5,3,6] => [2,6,1,4,5,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,7,1,5,6,3] => [2,5,7,1,4,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,7,1,6,3,5] => [2,6,7,1,4,5,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,7,1,6,5,3] => [7,2,6,1,4,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,7,3,1,5,6] => [2,5,1,4,6,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,4,7,3,1,6,5] => [2,4,7,1,5,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,7,3,5,1,6] => [2,4,6,1,5,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,7,3,5,6,1] => [2,4,5,7,1,6,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,7,3,6,1,5] => [2,4,6,7,1,5,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,7,3,6,5,1] => [7,2,4,6,1,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,7,5,1,3,6] => [2,5,6,1,4,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,4,7,5,1,6,3] => [7,2,5,1,4,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,7,5,3,1,6] => [6,2,5,1,4,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,4,7,5,3,6,1] => [5,2,4,7,1,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,7,5,6,1,3] => [6,2,4,7,1,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,7,5,6,3,1] => [4,7,2,6,1,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,4,7,6,1,3,5] => [2,5,6,7,1,4,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,4,7,6,1,5,3] => [7,2,5,6,1,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,7,6,3,1,5] => [6,2,5,7,1,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,4,7,6,3,5,1] => [5,7,2,6,1,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,4,7,6,5,1,3] => [6,7,2,5,1,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,4,7,6,5,3,1] => [7,6,2,5,1,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,5,1,3,4,6,7] => [1,3,4,5,2,6,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[2,5,1,3,4,7,6] => [7,1,3,4,2,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,5,1,3,6,4,7] => [6,1,3,4,2,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,5,1,3,6,7,4] => [5,7,1,3,2,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,1,3,7,4,6] => [6,7,1,3,2,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,1,3,7,6,4] => [7,6,1,3,2,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,1,4,3,6,7] => [5,1,3,4,2,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,5,1,4,3,7,6] => [4,7,1,3,2,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,1,4,6,3,7] => [4,6,1,3,2,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,1,4,6,7,3] => [4,5,1,2,7,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,4,7,3,6] => [4,6,1,2,7,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,4,7,6,3] => [7,4,1,2,6,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,1,6,3,4,7] => [5,6,1,3,2,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,1,6,3,7,4] => [7,5,1,3,2,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,1,6,4,3,7] => [6,5,1,3,2,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,1,6,4,7,3] => [5,4,1,2,7,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,1,6,7,3,4] => [6,4,1,2,7,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,1,6,7,4,3] => [4,2,7,1,6,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,1,7,3,4,6] => [5,6,1,2,7,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,1,7,3,6,4] => [7,5,1,2,6,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,1,7,4,3,6] => [6,5,1,2,7,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,1,7,4,6,3] => [5,2,7,1,6,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,1,7,6,3,4] => [6,2,7,1,5,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,1,7,6,4,3] => [2,7,6,1,5,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,5,3,1,4,6,7] => [4,1,3,5,2,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[2,5,3,1,4,7,6] => [3,7,1,4,2,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,3,1,6,4,7] => [3,6,1,4,2,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,3,1,6,7,4] => [3,5,1,2,7,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,3,1,7,4,6] => [3,6,1,2,7,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,3,1,7,6,4] => [7,3,1,2,6,4,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,3,4,1,6,7] => [3,5,1,4,2,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,3,4,1,7,6] => [3,4,1,2,7,5,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,3,4,6,1,7] => [3,4,1,2,6,5,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,3,4,6,7,1] => [3,4,1,2,5,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,5,3,4,7,1,6] => [3,4,1,2,6,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,5,3,4,7,6,1] => [7,3,1,2,4,6,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,3,6,1,4,7] => [3,5,1,2,6,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,3,6,1,7,4] => [7,3,1,2,5,4,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,3,6,4,1,7] => [6,3,1,2,5,4,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,3,6,4,7,1] => [5,3,1,2,4,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,3,6,7,1,4] => [6,3,1,2,4,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,3,6,7,4,1] => [4,2,7,1,3,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,3,7,1,4,6] => [3,5,1,2,6,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,5,3,7,1,6,4] => [7,3,1,2,5,6,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,3,7,4,1,6] => [6,3,1,2,5,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,3,7,4,6,1] => [5,2,7,1,3,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,3,7,6,1,4] => [6,2,7,1,3,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,3,7,6,4,1] => [2,7,6,1,3,5,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,4,1,3,6,7] => [4,5,1,3,2,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[2,5,4,1,3,7,6] => [7,4,1,3,2,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,4,1,6,3,7] => [6,4,1,3,2,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,4,1,6,7,3] => [5,3,1,2,7,4,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,4,1,7,3,6] => [6,3,1,2,7,4,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,4,1,7,6,3] => [3,2,7,1,6,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,4,3,1,6,7] => [5,4,1,3,2,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[2,5,4,3,1,7,6] => [4,3,1,2,7,5,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,4,3,6,1,7] => [4,3,1,2,6,5,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,4,3,6,7,1] => [4,3,1,2,5,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,4,3,7,1,6] => [4,3,1,2,6,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,4,3,7,6,1] => [3,2,7,1,4,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,4,6,1,3,7] => [5,3,1,2,6,4,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,4,6,1,7,3] => [3,2,7,1,5,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,4,6,3,1,7] => [3,2,6,1,5,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,4,6,3,7,1] => [3,2,5,1,4,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,4,6,7,1,3] => [3,2,6,1,4,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,4,6,7,3,1] => [3,2,4,7,1,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,4,7,1,3,6] => [5,3,1,2,6,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,4,7,1,6,3] => [3,2,7,1,5,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,4,7,3,1,6] => [3,2,6,1,5,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,4,7,3,6,1] => [3,2,5,7,1,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,4,7,6,1,3] => [3,2,6,7,1,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,4,7,6,3,1] => [2,7,3,6,1,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,6,1,3,4,7] => [4,5,1,2,6,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,5,6,1,3,7,4] => [7,4,1,2,5,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,6,1,4,3,7] => [6,4,1,2,5,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,6,1,4,7,3] => [5,2,7,1,4,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,6,1,7,3,4] => [6,2,7,1,4,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,6,1,7,4,3] => [2,7,6,1,4,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,5,6,3,1,4,7] => [5,4,1,2,6,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,5,6,3,1,7,4] => [4,2,7,1,5,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,6,3,4,1,7] => [4,2,6,1,5,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,6,3,4,7,1] => [4,2,5,1,3,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,6,3,7,1,4] => [4,2,6,1,3,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,6,3,7,4,1] => [2,7,4,1,3,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,6,4,1,3,7] => [5,2,6,1,4,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,5,6,4,1,7,3] => [2,7,5,1,4,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,5,6,4,3,1,7] => [2,6,5,1,4,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,5,6,4,3,7,1] => [2,5,4,1,3,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,6,4,7,1,3] => [2,6,4,1,3,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,6,4,7,3,1] => [2,4,3,7,1,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,6,7,1,3,4] => [5,2,6,1,3,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,6,7,1,4,3] => [2,7,5,1,3,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,6,7,3,1,4] => [2,6,5,1,3,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,6,7,3,4,1] => [2,5,3,7,1,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,6,7,4,1,3] => [2,6,3,7,1,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,6,7,4,3,1] => [2,3,7,6,1,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,5,7,1,3,4,6] => [4,5,1,2,6,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,5,7,1,3,6,4] => [7,4,1,2,5,6,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,7,1,4,3,6] => [6,4,1,2,5,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,7,1,4,6,3] => [5,2,7,1,4,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,7,1,6,3,4] => [6,2,7,1,4,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,7,1,6,4,3] => [2,7,6,1,4,5,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,7,3,1,4,6] => [5,4,1,2,6,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,5,7,3,1,6,4] => [4,2,7,1,5,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,7,3,4,1,6] => [4,2,6,1,5,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,7,3,4,6,1] => [4,2,5,7,1,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,7,3,6,1,4] => [4,2,6,7,1,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,7,3,6,4,1] => [2,7,4,6,1,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,7,4,1,3,6] => [5,2,6,1,4,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,5,7,4,1,6,3] => [2,7,5,1,4,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,7,4,3,1,6] => [2,6,5,1,4,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,5,7,4,3,6,1] => [2,5,4,7,1,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,7,4,6,1,3] => [2,6,4,7,1,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,7,4,6,3,1] => [2,4,7,6,1,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,5,7,6,1,3,4] => [5,2,6,7,1,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,5,7,6,1,4,3] => [2,7,5,6,1,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,7,6,3,1,4] => [2,6,5,7,1,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,5,7,6,3,4,1] => [2,5,7,6,1,4,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,5,7,6,4,1,3] => [2,6,7,5,1,4,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,5,7,6,4,3,1] => [7,2,6,5,1,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,6,1,3,4,5,7] => [1,3,4,5,6,2,7] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,6,1,3,4,7,5] => [7,1,3,4,5,2,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,6,1,3,5,4,7] => [6,1,3,4,5,2,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,6,1,3,5,7,4] => [5,7,1,3,4,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,1,3,7,4,5] => [6,7,1,3,4,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,1,3,7,5,4] => [7,6,1,3,4,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,1,4,3,5,7] => [5,1,3,4,6,2,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,6,1,4,3,7,5] => [4,7,1,3,5,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,1,4,5,3,7] => [4,6,1,3,5,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,1,4,5,7,3] => [4,5,7,1,3,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,1,4,7,3,5] => [4,6,7,1,3,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,1,4,7,5,3] => [7,4,6,1,3,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,1,5,3,4,7] => [5,6,1,3,4,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,1,5,3,7,4] => [7,5,1,3,4,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,1,5,4,3,7] => [6,5,1,3,4,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,1,5,4,7,3] => [5,4,7,1,3,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,1,5,7,3,4] => [6,4,7,1,3,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,1,5,7,4,3] => [4,7,6,1,3,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,1,7,3,4,5] => [5,6,7,1,3,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,1,7,3,5,4] => [7,5,6,1,3,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,1,7,4,3,5] => [6,5,7,1,3,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,1,7,4,5,3] => [5,7,6,1,3,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,1,7,5,3,4] => [6,7,5,1,3,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,1,7,5,4,3] => [7,6,5,1,3,2,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[2,6,3,1,4,5,7] => [4,1,3,5,6,2,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[2,6,3,1,4,7,5] => [3,7,1,4,5,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,3,1,5,4,7] => [3,6,1,4,5,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,3,1,5,7,4] => [3,5,7,1,4,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,3,1,7,4,5] => [3,6,7,1,4,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,3,1,7,5,4] => [7,3,6,1,4,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,3,4,1,5,7] => [3,5,1,4,6,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,3,4,1,7,5] => [3,4,7,1,5,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,3,4,5,1,7] => [3,4,6,1,5,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,3,4,5,7,1] => [3,4,5,1,2,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,6,3,4,7,1,5] => [3,4,6,1,2,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,6,3,4,7,5,1] => [7,3,4,1,2,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,3,5,1,4,7] => [3,5,6,1,4,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,3,5,1,7,4] => [7,3,5,1,4,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,3,5,4,1,7] => [6,3,5,1,4,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,3,5,4,7,1] => [5,3,4,1,2,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,3,5,7,1,4] => [6,3,4,1,2,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,3,5,7,4,1] => [4,7,3,1,2,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,3,7,1,4,5] => [3,5,6,1,2,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,6,3,7,1,5,4] => [7,3,5,1,2,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,3,7,4,1,5] => [6,3,5,1,2,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,3,7,4,5,1] => [5,7,3,1,2,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,3,7,5,1,4] => [6,7,3,1,2,5,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,3,7,5,4,1] => [7,6,3,1,2,5,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,1,3,5,7] => [4,5,1,3,6,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[2,6,4,1,3,7,5] => [7,4,1,3,5,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,4,1,5,3,7] => [6,4,1,3,5,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,4,1,5,7,3] => [5,3,7,1,4,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,4,1,7,3,5] => [6,3,7,1,4,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,4,1,7,5,3] => [3,7,6,1,4,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,4,3,1,5,7] => [5,4,1,3,6,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[2,6,4,3,1,7,5] => [4,3,7,1,5,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,4,3,5,1,7] => [4,3,6,1,5,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,4,3,5,7,1] => [4,3,5,1,2,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,4,3,7,1,5] => [4,3,6,1,2,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,4,3,7,5,1] => [3,7,4,1,2,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,4,5,1,3,7] => [5,3,6,1,4,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,4,5,1,7,3] => [3,7,5,1,4,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,4,5,3,1,7] => [3,6,5,1,4,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,4,5,3,7,1] => [3,5,4,1,2,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,4,5,7,1,3] => [3,6,4,1,2,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,4,5,7,3,1] => [3,4,2,7,1,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,4,7,1,3,5] => [5,3,6,1,2,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,4,7,1,5,3] => [3,7,5,1,2,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,4,7,3,1,5] => [3,6,5,1,2,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,4,7,3,5,1] => [3,5,2,7,1,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,4,7,5,1,3] => [3,6,2,7,1,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,4,7,5,3,1] => [7,3,2,6,1,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,5,1,3,4,7] => [4,5,6,1,3,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[2,6,5,1,3,7,4] => [7,4,5,1,3,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,5,1,4,3,7] => [6,4,5,1,3,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,5,1,4,7,3] => [5,7,4,1,3,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,5,1,7,3,4] => [6,7,4,1,3,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,5,1,7,4,3] => [7,6,4,1,3,2,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[2,6,5,3,1,4,7] => [5,4,6,1,3,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[2,6,5,3,1,7,4] => [4,7,5,1,3,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,5,3,4,1,7] => [4,6,5,1,3,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,5,3,4,7,1] => [4,5,3,1,2,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,5,3,7,1,4] => [4,6,3,1,2,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,5,3,7,4,1] => [7,4,3,1,2,6,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,5,4,1,3,7] => [5,6,4,1,3,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[2,6,5,4,1,7,3] => [7,5,4,1,3,2,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[2,6,5,4,3,1,7] => [6,5,4,1,3,2,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[2,6,5,4,3,7,1] => [5,4,3,1,2,7,6] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,5,4,7,1,3] => [6,4,3,1,2,7,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,5,4,7,3,1] => [4,3,2,7,1,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,5,7,1,3,4] => [5,6,3,1,2,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,5,7,1,4,3] => [7,5,3,1,2,6,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,5,7,3,1,4] => [6,5,3,1,2,7,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,5,7,3,4,1] => [5,3,2,7,1,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,5,7,4,1,3] => [6,3,2,7,1,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,5,7,4,3,1] => [3,2,7,6,1,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,6,7,1,3,4,5] => [4,5,6,1,2,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,6,7,1,3,5,4] => [7,4,5,1,2,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,7,1,4,3,5] => [6,4,5,1,2,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,7,1,4,5,3] => [5,7,4,1,2,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,7,1,5,3,4] => [6,7,4,1,2,5,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,7,1,5,4,3] => [7,6,4,1,2,5,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,7,3,1,4,5] => [5,4,6,1,2,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,6,7,3,1,5,4] => [4,7,5,1,2,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,7,3,4,1,5] => [4,6,5,1,2,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,7,3,4,5,1] => [4,5,2,7,1,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,7,3,5,1,4] => [4,6,2,7,1,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,7,3,5,4,1] => [7,4,2,6,1,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,7,4,1,3,5] => [5,6,4,1,2,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,6,7,4,1,5,3] => [7,5,4,1,2,6,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,7,4,3,1,5] => [6,5,4,1,2,7,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,6,7,4,3,5,1] => [5,4,2,7,1,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,7,4,5,1,3] => [6,4,2,7,1,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,7,4,5,3,1] => [4,2,7,6,1,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,6,7,5,1,3,4] => [5,6,2,7,1,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,6,7,5,1,4,3] => [7,5,2,6,1,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,7,5,3,1,4] => [6,5,2,7,1,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,6,7,5,3,4,1] => [5,2,7,6,1,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,6,7,5,4,1,3] => [6,2,7,5,1,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,6,7,5,4,3,1] => [2,7,6,5,1,4,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[2,7,1,3,4,5,6] => [1,3,4,5,6,7,2] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[2,7,1,3,4,6,5] => [7,1,3,4,5,6,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,7,1,3,5,4,6] => [6,1,3,4,5,7,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,7,1,3,5,6,4] => [5,7,1,3,4,6,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,1,3,6,4,5] => [6,7,1,3,4,5,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,1,3,6,5,4] => [7,6,1,3,4,5,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,1,4,3,5,6] => [5,1,3,4,6,7,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,7,1,4,3,6,5] => [4,7,1,3,5,6,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,1,4,5,3,6] => [4,6,1,3,5,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,1,4,5,6,3] => [4,5,7,1,3,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,1,4,6,3,5] => [4,6,7,1,3,5,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,1,4,6,5,3] => [7,4,6,1,3,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,1,5,3,4,6] => [5,6,1,3,4,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,1,5,3,6,4] => [7,5,1,3,4,6,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,1,5,4,3,6] => [6,5,1,3,4,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,1,5,4,6,3] => [5,4,7,1,3,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,1,5,6,3,4] => [6,4,7,1,3,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,1,5,6,4,3] => [4,7,6,1,3,5,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,1,6,3,4,5] => [5,6,7,1,3,4,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,1,6,3,5,4] => [7,5,6,1,3,4,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,1,6,4,3,5] => [6,5,7,1,3,4,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,1,6,4,5,3] => [5,7,6,1,3,4,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,1,6,5,3,4] => [6,7,5,1,3,4,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,1,6,5,4,3] => [7,6,5,1,3,4,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,7,3,1,4,5,6] => [4,1,3,5,6,7,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[2,7,3,1,4,6,5] => [3,7,1,4,5,6,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,3,1,5,4,6] => [3,6,1,4,5,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,3,1,5,6,4] => [3,5,7,1,4,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,3,1,6,4,5] => [3,6,7,1,4,5,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,3,1,6,5,4] => [7,3,6,1,4,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,3,4,1,5,6] => [3,5,1,4,6,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,3,4,1,6,5] => [3,4,7,1,5,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,3,4,5,1,6] => [3,4,6,1,5,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,3,4,5,6,1] => [3,4,5,7,1,6,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,7,3,4,6,1,5] => [3,4,6,7,1,5,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,7,3,4,6,5,1] => [7,3,4,6,1,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,3,5,1,4,6] => [3,5,6,1,4,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,3,5,1,6,4] => [7,3,5,1,4,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,3,5,4,1,6] => [6,3,5,1,4,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,3,5,4,6,1] => [5,3,4,7,1,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,3,5,6,1,4] => [6,3,4,7,1,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,3,5,6,4,1] => [4,7,3,6,1,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,3,6,1,4,5] => [3,5,6,7,1,4,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,7,3,6,1,5,4] => [7,3,5,6,1,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,3,6,4,1,5] => [6,3,5,7,1,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,3,6,4,5,1] => [5,7,3,6,1,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,3,6,5,1,4] => [6,7,3,5,1,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,3,6,5,4,1] => [7,6,3,5,1,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,4,1,3,5,6] => [4,5,1,3,6,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[2,7,4,1,3,6,5] => [7,4,1,3,5,6,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,4,1,5,3,6] => [6,4,1,3,5,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,4,1,5,6,3] => [5,3,7,1,4,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,4,1,6,3,5] => [6,3,7,1,4,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,4,1,6,5,3] => [3,7,6,1,4,5,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,4,3,1,5,6] => [5,4,1,3,6,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[2,7,4,3,1,6,5] => [4,3,7,1,5,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,4,3,5,1,6] => [4,3,6,1,5,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,4,3,5,6,1] => [4,3,5,7,1,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,4,3,6,1,5] => [4,3,6,7,1,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,4,3,6,5,1] => [3,7,4,6,1,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,4,5,1,3,6] => [5,3,6,1,4,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,4,5,1,6,3] => [3,7,5,1,4,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,4,5,3,1,6] => [3,6,5,1,4,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,4,5,3,6,1] => [3,5,4,7,1,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,4,5,6,1,3] => [3,6,4,7,1,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,4,5,6,3,1] => [3,4,7,6,1,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,4,6,1,3,5] => [5,3,6,7,1,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,4,6,1,5,3] => [3,7,5,6,1,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,4,6,3,1,5] => [3,6,5,7,1,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,4,6,3,5,1] => [3,5,7,6,1,4,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,4,6,5,1,3] => [3,6,7,5,1,4,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,4,6,5,3,1] => [7,3,6,5,1,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,5,1,3,4,6] => [4,5,6,1,3,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[2,7,5,1,3,6,4] => [7,4,5,1,3,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,5,1,4,3,6] => [6,4,5,1,3,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,5,1,4,6,3] => [5,7,4,1,3,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,5,1,6,3,4] => [6,7,4,1,3,5,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,5,1,6,4,3] => [7,6,4,1,3,5,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,7,5,3,1,4,6] => [5,4,6,1,3,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[2,7,5,3,1,6,4] => [4,7,5,1,3,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,5,3,4,1,6] => [4,6,5,1,3,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,5,3,4,6,1] => [4,5,3,7,1,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,5,3,6,1,4] => [4,6,3,7,1,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,5,3,6,4,1] => [7,4,3,6,1,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,5,4,1,3,6] => [5,6,4,1,3,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[2,7,5,4,1,6,3] => [7,5,4,1,3,6,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,7,5,4,3,1,6] => [6,5,4,1,3,7,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[2,7,5,4,3,6,1] => [5,4,3,7,1,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,5,4,6,1,3] => [6,4,3,7,1,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,5,4,6,3,1] => [4,3,7,6,1,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,5,6,1,3,4] => [5,6,3,7,1,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,5,6,1,4,3] => [7,5,3,6,1,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,5,6,3,1,4] => [6,5,3,7,1,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,5,6,3,4,1] => [5,3,7,6,1,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,5,6,4,1,3] => [6,3,7,5,1,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,5,6,4,3,1] => [3,7,6,5,1,4,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[2,7,6,1,3,4,5] => [4,5,6,7,1,3,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[2,7,6,1,3,5,4] => [7,4,5,6,1,3,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,6,1,4,3,5] => [6,4,5,7,1,3,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,6,1,4,5,3] => [5,7,4,6,1,3,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,6,1,5,3,4] => [6,7,4,5,1,3,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,6,1,5,4,3] => [7,6,4,5,1,3,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,6,3,1,4,5] => [5,4,6,7,1,3,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[2,7,6,3,1,5,4] => [4,7,5,6,1,3,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,6,3,4,1,5] => [4,6,5,7,1,3,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,6,3,4,5,1] => [4,5,7,6,1,3,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,6,3,5,1,4] => [4,6,7,5,1,3,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,6,3,5,4,1] => [7,4,6,5,1,3,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,6,4,1,3,5] => [5,6,4,7,1,3,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[2,7,6,4,1,5,3] => [7,5,4,6,1,3,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,6,4,3,1,5] => [6,5,4,7,1,3,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[2,7,6,4,3,5,1] => [5,4,7,6,1,3,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,6,4,5,1,3] => [6,4,7,5,1,3,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,6,4,5,3,1] => [4,7,6,5,1,3,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[2,7,6,5,1,3,4] => [5,6,7,4,1,3,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[2,7,6,5,1,4,3] => [7,5,6,4,1,3,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,6,5,3,1,4] => [6,5,7,4,1,3,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[2,7,6,5,3,4,1] => [5,7,6,4,1,3,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[2,7,6,5,4,1,3] => [6,7,5,4,1,3,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[2,7,6,5,4,3,1] => [7,6,5,4,1,3,2] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[3,1,2,4,5,6,7] => [2,3,1,4,5,6,7] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[3,1,2,4,5,7,6] => [7,2,1,3,4,5,6] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,1,2,4,6,5,7] => [6,2,1,3,4,5,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,1,2,4,6,7,5] => [5,1,7,2,3,4,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,4,7,5,6] => [6,1,7,2,3,4,5] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,4,7,6,5] => [1,7,6,2,3,4,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,5,4,6,7] => [5,2,1,3,4,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,1,2,5,4,7,6] => [4,1,7,2,3,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,5,6,4,7] => [4,1,6,2,3,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,5,6,7,4] => [4,1,5,7,2,3,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,2,5,7,4,6] => [4,1,6,7,2,3,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,2,5,7,6,4] => [1,7,4,6,2,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,2,6,4,5,7] => [5,1,6,2,3,4,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,2,6,4,7,5] => [1,7,5,2,3,4,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,6,5,4,7] => [1,6,5,2,3,4,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,6,5,7,4] => [1,5,4,7,2,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,2,6,7,4,5] => [1,6,4,7,2,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,2,6,7,5,4] => [1,4,7,6,2,3,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,2,7,4,5,6] => [5,1,6,7,2,3,4] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,2,7,4,6,5] => [1,7,5,6,2,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,2,7,5,4,6] => [1,6,5,7,2,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,2,7,5,6,4] => [1,5,7,6,2,3,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,2,7,6,4,5] => [1,6,7,5,2,3,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,2,7,6,5,4] => [7,1,6,5,2,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,1,4,2,5,6,7] => [4,2,1,3,5,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,2,5,7,6] => [3,1,7,2,4,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,4,2,6,5,7] => [3,1,6,2,4,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,4,2,6,7,5] => [3,1,5,7,2,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,4,2,7,5,6] => [3,1,6,7,2,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,4,2,7,6,5] => [1,7,3,6,2,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,4,5,2,6,7] => [3,1,5,2,4,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,4,5,2,7,6] => [3,1,4,7,2,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,4,5,6,2,7] => [3,1,4,6,2,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,4,5,6,7,2] => [3,1,4,5,7,2,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,1,4,5,7,2,6] => [3,1,4,6,7,2,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,1,4,5,7,6,2] => [1,7,3,4,6,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,4,6,2,5,7] => [3,1,5,6,2,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,4,6,2,7,5] => [1,7,3,5,2,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,4,6,5,2,7] => [1,6,3,5,2,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,4,6,5,7,2] => [1,5,3,4,7,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,4,6,7,2,5] => [1,6,3,4,7,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,4,6,7,5,2] => [1,4,7,3,6,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,4,7,2,5,6] => [3,1,5,6,7,2,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,1,4,7,2,6,5] => [1,7,3,5,6,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,4,7,5,2,6] => [1,6,3,5,7,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,4,7,5,6,2] => [1,5,7,3,6,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,4,7,6,2,5] => [1,6,7,3,5,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,4,7,6,5,2] => [7,1,6,3,5,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,5,2,4,6,7] => [4,1,5,2,3,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,5,2,4,7,6] => [1,7,4,2,3,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,5,2,6,4,7] => [1,6,4,2,3,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,5,2,6,7,4] => [1,5,3,7,2,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,5,2,7,4,6] => [1,6,3,7,2,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,5,2,7,6,4] => [1,3,7,6,2,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,5,4,2,6,7] => [1,5,4,2,3,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,1,5,4,2,7,6] => [1,4,3,7,2,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,5,4,6,2,7] => [1,4,3,6,2,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,5,4,6,7,2] => [1,4,3,5,7,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,5,4,7,2,6] => [1,4,3,6,7,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,5,4,7,6,2] => [1,3,7,4,6,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,5,6,2,4,7] => [1,5,3,6,2,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,5,6,2,7,4] => [1,3,7,5,2,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,5,6,4,2,7] => [1,3,6,5,2,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,5,6,4,7,2] => [1,3,5,4,7,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,5,6,7,2,4] => [1,3,6,4,7,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,5,6,7,4,2] => [1,3,4,7,6,2,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,5,7,2,4,6] => [1,5,3,6,7,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,5,7,2,6,4] => [1,3,7,5,6,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,5,7,4,2,6] => [1,3,6,5,7,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,5,7,4,6,2] => [1,3,5,7,6,2,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,5,7,6,2,4] => [1,3,6,7,5,2,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,5,7,6,4,2] => [7,1,3,6,5,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,6,2,4,5,7] => [4,1,5,6,2,3,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,1,6,2,4,7,5] => [1,7,4,5,2,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,6,2,5,4,7] => [1,6,4,5,2,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,6,2,5,7,4] => [1,5,7,4,2,3,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,6,2,7,4,5] => [1,6,7,4,2,3,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,6,2,7,5,4] => [7,1,6,4,2,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,1,6,4,2,5,7] => [1,5,4,6,2,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,1,6,4,2,7,5] => [1,4,7,5,2,3,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,6,4,5,2,7] => [1,4,6,5,2,3,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,6,4,5,7,2] => [1,4,5,3,7,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,6,4,7,2,5] => [1,4,6,3,7,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,6,4,7,5,2] => [7,1,4,3,6,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,6,5,2,4,7] => [1,5,6,4,2,3,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,1,6,5,2,7,4] => [7,1,5,4,2,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,1,6,5,4,2,7] => [6,1,5,4,2,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,1,6,5,4,7,2] => [5,1,4,3,7,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,6,5,7,2,4] => [6,1,4,3,7,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,6,5,7,4,2] => [4,1,3,7,6,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,6,7,2,4,5] => [1,5,6,3,7,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,6,7,2,5,4] => [7,1,5,3,6,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,6,7,4,2,5] => [6,1,5,3,7,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,6,7,4,5,2] => [5,1,3,7,6,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,6,7,5,2,4] => [6,1,3,7,5,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,6,7,5,4,2] => [3,7,1,6,5,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,1,7,2,4,5,6] => [4,1,5,6,7,2,3] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,1,7,2,4,6,5] => [1,7,4,5,6,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,7,2,5,4,6] => [1,6,4,5,7,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,7,2,5,6,4] => [1,5,7,4,6,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,7,2,6,4,5] => [1,6,7,4,5,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,7,2,6,5,4] => [7,1,6,4,5,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,7,4,2,5,6] => [1,5,4,6,7,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,1,7,4,2,6,5] => [1,4,7,5,6,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,7,4,5,2,6] => [1,4,6,5,7,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,7,4,5,6,2] => [1,4,5,7,6,2,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,7,4,6,2,5] => [1,4,6,7,5,2,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,7,4,6,5,2] => [7,1,4,6,5,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,7,5,2,4,6] => [1,5,6,4,7,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,1,7,5,2,6,4] => [7,1,5,4,6,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,7,5,4,2,6] => [6,1,5,4,7,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,1,7,5,4,6,2] => [5,1,4,7,6,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,7,5,6,2,4] => [6,1,4,7,5,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,7,5,6,4,2] => [4,7,1,6,5,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,1,7,6,2,4,5] => [1,5,6,7,4,2,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,1,7,6,2,5,4] => [7,1,5,6,4,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,7,6,4,2,5] => [6,1,5,7,4,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,1,7,6,4,5,2] => [5,7,1,6,4,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,1,7,6,5,2,4] => [6,7,1,5,4,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,1,7,6,5,4,2] => [7,6,1,5,4,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,2,1,4,5,7,6] => [2,1,7,3,4,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,1,4,6,5,7] => [2,1,6,3,4,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,1,4,6,7,5] => [2,1,5,7,3,4,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,1,4,7,5,6] => [2,1,6,7,3,4,5] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,1,4,7,6,5] => [1,7,2,6,3,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,1,5,4,6,7] => [2,1,5,3,4,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,1,5,4,7,6] => [2,1,4,7,3,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,1,5,6,4,7] => [2,1,4,6,3,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,1,5,6,7,4] => [2,1,4,5,7,3,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,1,5,7,4,6] => [2,1,4,6,7,3,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,1,5,7,6,4] => [1,7,2,4,6,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,1,6,4,5,7] => [2,1,5,6,3,4,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,1,6,4,7,5] => [1,7,2,5,3,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,1,6,5,4,7] => [1,6,2,5,3,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,1,6,5,7,4] => [1,5,2,4,7,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,1,6,7,4,5] => [1,6,2,4,7,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,1,6,7,5,4] => [1,4,7,2,6,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,1,7,4,5,6] => [2,1,5,6,7,3,4] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,1,7,4,6,5] => [1,7,2,5,6,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,1,7,5,4,6] => [1,6,2,5,7,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,1,7,5,6,4] => [1,5,7,2,6,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,1,7,6,4,5] => [1,6,7,2,5,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,1,7,6,5,4] => [7,1,6,2,5,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,2,4,1,5,6,7] => [2,1,4,3,5,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,4,1,5,7,6] => [2,1,3,7,4,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,4,1,6,5,7] => [2,1,3,6,4,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,4,1,6,7,5] => [2,1,3,5,7,4,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,4,1,7,5,6] => [2,1,3,6,7,4,5] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,4,1,7,6,5] => [1,7,2,3,6,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,4,5,1,6,7] => [2,1,3,5,4,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,4,5,1,7,6] => [2,1,3,4,7,5,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,4,5,6,1,7] => [2,1,3,4,6,5,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,4,5,6,7,1] => [2,1,3,4,5,7,6] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[3,2,4,5,7,1,6] => [2,1,3,4,6,7,5] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[3,2,4,5,7,6,1] => [1,7,2,3,4,6,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,4,6,1,5,7] => [2,1,3,5,6,4,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,4,6,1,7,5] => [1,7,2,3,5,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,4,6,5,1,7] => [1,6,2,3,5,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,4,6,5,7,1] => [1,5,2,3,4,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,4,6,7,1,5] => [1,6,2,3,4,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,4,6,7,5,1] => [1,4,7,2,3,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,4,7,1,5,6] => [2,1,3,5,6,7,4] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[3,2,4,7,1,6,5] => [1,7,2,3,5,6,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,4,7,5,1,6] => [1,6,2,3,5,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,4,7,5,6,1] => [1,5,7,2,3,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,4,7,6,1,5] => [1,6,7,2,3,5,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,4,7,6,5,1] => [7,1,6,2,3,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,5,1,4,6,7] => [2,1,4,5,3,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,2,5,1,4,7,6] => [1,7,2,4,3,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,5,1,6,4,7] => [1,6,2,4,3,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,5,1,6,7,4] => [1,5,2,3,7,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,5,1,7,4,6] => [1,6,2,3,7,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,5,1,7,6,4] => [1,3,7,2,6,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,5,4,1,6,7] => [1,5,2,4,3,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,2,5,4,1,7,6] => [1,4,2,3,7,5,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,5,4,6,1,7] => [1,4,2,3,6,5,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,5,4,6,7,1] => [1,4,2,3,5,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,5,4,7,1,6] => [1,4,2,3,6,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,5,4,7,6,1] => [1,3,7,2,4,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,5,6,1,4,7] => [1,5,2,3,6,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,5,6,1,7,4] => [1,3,7,2,5,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,5,6,4,1,7] => [1,3,6,2,5,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,5,6,4,7,1] => [1,3,5,2,4,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,5,6,7,1,4] => [1,3,6,2,4,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,5,6,7,4,1] => [1,3,4,7,2,6,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,5,7,1,4,6] => [1,5,2,3,6,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,5,7,1,6,4] => [1,3,7,2,5,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,5,7,4,1,6] => [1,3,6,2,5,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,5,7,4,6,1] => [1,3,5,7,2,6,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,5,7,6,1,4] => [1,3,6,7,2,5,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,5,7,6,4,1] => [7,1,3,6,2,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,6,1,4,5,7] => [2,1,4,5,6,3,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,2,6,1,4,7,5] => [1,7,2,4,5,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,6,1,5,4,7] => [1,6,2,4,5,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,6,1,5,7,4] => [1,5,7,2,4,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,6,1,7,4,5] => [1,6,7,2,4,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,6,1,7,5,4] => [7,1,6,2,4,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,2,6,4,1,5,7] => [1,5,2,4,6,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,2,6,4,1,7,5] => [1,4,7,2,5,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,6,4,5,1,7] => [1,4,6,2,5,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,6,4,5,7,1] => [1,4,5,2,3,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,6,4,7,1,5] => [1,4,6,2,3,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,6,4,7,5,1] => [7,1,4,2,3,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,6,5,1,4,7] => [1,5,6,2,4,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,2,6,5,1,7,4] => [7,1,5,2,4,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,2,6,5,4,1,7] => [6,1,5,2,4,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,2,6,5,4,7,1] => [5,1,4,2,3,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,6,5,7,1,4] => [6,1,4,2,3,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,6,5,7,4,1] => [4,1,3,7,2,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,6,7,1,4,5] => [1,5,6,2,3,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,6,7,1,5,4] => [7,1,5,2,3,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,6,7,4,1,5] => [6,1,5,2,3,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,6,7,4,5,1] => [5,1,3,7,2,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,6,7,5,1,4] => [6,1,3,7,2,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,6,7,5,4,1] => [3,7,1,6,2,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,2,7,1,4,5,6] => [2,1,4,5,6,7,3] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[3,2,7,1,4,6,5] => [1,7,2,4,5,6,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,7,1,5,4,6] => [1,6,2,4,5,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,7,1,5,6,4] => [1,5,7,2,4,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,7,1,6,4,5] => [1,6,7,2,4,5,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,7,1,6,5,4] => [7,1,6,2,4,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,7,4,1,5,6] => [1,5,2,4,6,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,2,7,4,1,6,5] => [1,4,7,2,5,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,7,4,5,1,6] => [1,4,6,2,5,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,7,4,5,6,1] => [1,4,5,7,2,6,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,7,4,6,1,5] => [1,4,6,7,2,5,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,7,4,6,5,1] => [7,1,4,6,2,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,7,5,1,4,6] => [1,5,6,2,4,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,2,7,5,1,6,4] => [7,1,5,2,4,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,7,5,4,1,6] => [6,1,5,2,4,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,2,7,5,4,6,1] => [5,1,4,7,2,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,7,5,6,1,4] => [6,1,4,7,2,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,7,5,6,4,1] => [4,7,1,6,2,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,2,7,6,1,4,5] => [1,5,6,7,2,4,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,2,7,6,1,5,4] => [7,1,5,6,2,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,7,6,4,1,5] => [6,1,5,7,2,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,2,7,6,4,5,1] => [5,7,1,6,2,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,2,7,6,5,1,4] => [6,7,1,5,2,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,2,7,6,5,4,1] => [7,6,1,5,2,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,4,1,2,5,6,7] => [3,1,4,2,5,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,1,2,5,7,6] => [1,7,3,2,4,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,2,6,5,7] => [1,6,3,2,4,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,2,6,7,5] => [1,5,2,7,3,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,1,2,7,5,6] => [1,6,2,7,3,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,1,2,7,6,5] => [1,2,7,6,3,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,1,5,2,6,7] => [1,5,3,2,4,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,5,2,7,6] => [1,4,2,7,3,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,1,5,6,2,7] => [1,4,2,6,3,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,1,5,6,7,2] => [1,4,2,5,7,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,1,5,7,2,6] => [1,4,2,6,7,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,1,5,7,6,2] => [1,2,7,4,6,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,1,6,2,5,7] => [1,5,2,6,3,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,1,6,2,7,5] => [1,2,7,5,3,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,1,6,5,2,7] => [1,2,6,5,3,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,1,6,5,7,2] => [1,2,5,4,7,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,1,6,7,2,5] => [1,2,6,4,7,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,1,6,7,5,2] => [1,2,4,7,6,3,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,1,7,2,5,6] => [1,5,2,6,7,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,1,7,2,6,5] => [1,2,7,5,6,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,1,7,5,2,6] => [1,2,6,5,7,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,1,7,5,6,2] => [1,2,5,7,6,3,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,1,7,6,2,5] => [1,2,6,7,5,3,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,1,7,6,5,2] => [7,1,2,6,5,3,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,4,2,1,5,6,7] => [1,4,3,2,5,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[3,4,2,1,5,7,6] => [1,3,2,7,4,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,2,1,6,5,7] => [1,3,2,6,4,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,2,1,6,7,5] => [1,3,2,5,7,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,2,1,7,5,6] => [1,3,2,6,7,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,2,1,7,6,5] => [1,2,7,3,6,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,2,5,1,6,7] => [1,3,2,5,4,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,2,5,1,7,6] => [1,3,2,4,7,5,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,2,5,6,1,7] => [1,3,2,4,6,5,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,2,5,6,7,1] => [1,3,2,4,5,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,4,2,5,7,1,6] => [1,3,2,4,6,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,4,2,5,7,6,1] => [1,2,7,3,4,6,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,2,6,1,5,7] => [1,3,2,5,6,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,2,6,1,7,5] => [1,2,7,3,5,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,2,6,5,1,7] => [1,2,6,3,5,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,2,6,5,7,1] => [1,2,5,3,4,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,2,6,7,1,5] => [1,2,6,3,4,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,2,6,7,5,1] => [1,2,4,7,3,6,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,2,7,1,5,6] => [1,3,2,5,6,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,4,2,7,1,6,5] => [1,2,7,3,5,6,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,2,7,5,1,6] => [1,2,6,3,5,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,2,7,5,6,1] => [1,2,5,7,3,6,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,2,7,6,1,5] => [1,2,6,7,3,5,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,2,7,6,5,1] => [7,1,2,6,3,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,5,1,2,6,7] => [1,4,2,5,3,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,4,5,1,2,7,6] => [1,2,7,4,3,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,5,1,6,2,7] => [1,2,6,4,3,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,5,1,6,7,2] => [1,2,5,3,7,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,5,1,7,2,6] => [1,2,6,3,7,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,5,1,7,6,2] => [1,2,3,7,6,4,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,5,2,1,6,7] => [1,2,5,4,3,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,4,5,2,1,7,6] => [1,2,4,3,7,5,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,5,2,6,1,7] => [1,2,4,3,6,5,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,5,2,6,7,1] => [1,2,4,3,5,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,5,2,7,1,6] => [1,2,4,3,6,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,5,2,7,6,1] => [1,2,3,7,4,6,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,5,6,1,2,7] => [1,2,5,3,6,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,5,6,1,7,2] => [1,2,3,7,5,4,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,5,6,2,1,7] => [1,2,3,6,5,4,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,5,6,2,7,1] => [1,2,3,5,4,7,6] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,5,6,7,1,2] => [1,2,3,6,4,7,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,5,6,7,2,1] => [1,2,3,4,7,6,5] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,5,7,1,2,6] => [1,2,5,3,6,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,5,7,1,6,2] => [1,2,3,7,5,6,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,5,7,2,1,6] => [1,2,3,6,5,7,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,5,7,2,6,1] => [1,2,3,5,7,6,4] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,5,7,6,1,2] => [1,2,3,6,7,5,4] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,5,7,6,2,1] => [7,1,2,3,6,5,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,6,1,2,5,7] => [1,4,2,5,6,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,4,6,1,2,7,5] => [1,2,7,4,5,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,6,1,5,2,7] => [1,2,6,4,5,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,6,1,5,7,2] => [1,2,5,7,4,3,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,6,1,7,2,5] => [1,2,6,7,4,3,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,6,1,7,5,2] => [7,1,2,6,4,3,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,4,6,2,1,5,7] => [1,2,5,4,6,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,4,6,2,1,7,5] => [1,2,4,7,5,3,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,6,2,5,1,7] => [1,2,4,6,5,3,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,6,2,5,7,1] => [1,2,4,5,3,7,6] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,6,2,7,1,5] => [1,2,4,6,3,7,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,6,2,7,5,1] => [7,1,2,4,3,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,6,5,1,2,7] => [1,2,5,6,4,3,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,4,6,5,1,7,2] => [7,1,2,5,4,3,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,4,6,5,2,1,7] => [6,1,2,5,4,3,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,4,6,5,2,7,1] => [5,1,2,4,3,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,6,5,7,1,2] => [6,1,2,4,3,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,6,5,7,2,1] => [4,1,2,3,7,6,5] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,6,7,1,2,5] => [1,2,5,6,3,7,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,6,7,1,5,2] => [7,1,2,5,3,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,6,7,2,1,5] => [6,1,2,5,3,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,6,7,2,5,1] => [5,1,2,3,7,6,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,6,7,5,1,2] => [6,1,2,3,7,5,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,6,7,5,2,1] => [3,7,1,2,6,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,4,7,1,2,5,6] => [1,4,2,5,6,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,4,7,1,2,6,5] => [1,2,7,4,5,6,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,7,1,5,2,6] => [1,2,6,4,5,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,7,1,5,6,2] => [1,2,5,7,4,6,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,7,1,6,2,5] => [1,2,6,7,4,5,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,7,1,6,5,2] => [7,1,2,6,4,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,7,2,1,5,6] => [1,2,5,4,6,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,4,7,2,1,6,5] => [1,2,4,7,5,6,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,7,2,5,1,6] => [1,2,4,6,5,7,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,7,2,5,6,1] => [1,2,4,5,7,6,3] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,7,2,6,1,5] => [1,2,4,6,7,5,3] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,7,2,6,5,1] => [7,1,2,4,6,5,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,7,5,1,2,6] => [1,2,5,6,4,7,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,4,7,5,1,6,2] => [7,1,2,5,4,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,7,5,2,1,6] => [6,1,2,5,4,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,4,7,5,2,6,1] => [5,1,2,4,7,6,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,7,5,6,1,2] => [6,1,2,4,7,5,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,7,5,6,2,1] => [4,7,1,2,6,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,4,7,6,1,2,5] => [1,2,5,6,7,4,3] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,4,7,6,1,5,2] => [7,1,2,5,6,4,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,7,6,2,1,5] => [6,1,2,5,7,4,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,4,7,6,2,5,1] => [5,7,1,2,6,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,4,7,6,5,1,2] => [6,7,1,2,5,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,4,7,6,5,2,1] => [7,6,1,2,5,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,5,1,2,4,6,7] => [3,1,4,5,2,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[3,5,1,2,4,7,6] => [1,7,3,4,2,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,5,1,2,6,4,7] => [1,6,3,4,2,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,5,1,2,6,7,4] => [1,5,7,3,2,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,1,2,7,4,6] => [1,6,7,3,2,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,1,2,7,6,4] => [7,1,6,3,2,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,1,4,2,6,7] => [1,5,3,4,2,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,5,1,4,2,7,6] => [1,4,7,3,2,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,1,4,6,2,7] => [1,4,6,3,2,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,1,4,6,7,2] => [1,4,5,2,7,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,1,4,7,2,6] => [1,4,6,2,7,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,1,4,7,6,2] => [7,1,4,2,6,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,1,6,2,4,7] => [1,5,6,3,2,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,1,6,2,7,4] => [7,1,5,3,2,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,1,6,4,2,7] => [6,1,5,3,2,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,1,6,4,7,2] => [5,1,4,2,7,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,1,6,7,2,4] => [6,1,4,2,7,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,1,6,7,4,2] => [4,1,2,7,6,3,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,1,7,2,4,6] => [1,5,6,2,7,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,1,7,2,6,4] => [7,1,5,2,6,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,1,7,4,2,6] => [6,1,5,2,7,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,1,7,4,6,2] => [5,1,2,7,6,3,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,1,7,6,2,4] => [6,1,2,7,5,3,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,1,7,6,4,2] => [2,7,1,6,5,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,5,2,1,4,6,7] => [1,4,3,5,2,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[3,5,2,1,4,7,6] => [1,3,7,4,2,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,2,1,6,4,7] => [1,3,6,4,2,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,2,1,6,7,4] => [1,3,5,2,7,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,2,1,7,4,6] => [1,3,6,2,7,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,2,1,7,6,4] => [7,1,3,2,6,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,2,4,1,6,7] => [1,3,5,4,2,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,2,4,1,7,6] => [1,3,4,2,7,5,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,2,4,6,1,7] => [1,3,4,2,6,5,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,2,4,6,7,1] => [1,3,4,2,5,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,5,2,4,7,1,6] => [1,3,4,2,6,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,5,2,4,7,6,1] => [7,1,3,2,4,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,2,6,1,4,7] => [1,3,5,2,6,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,2,6,1,7,4] => [7,1,3,2,5,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,2,6,4,1,7] => [6,1,3,2,5,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,2,6,4,7,1] => [5,1,3,2,4,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,2,6,7,1,4] => [6,1,3,2,4,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,2,6,7,4,1] => [4,1,2,7,3,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,2,7,1,4,6] => [1,3,5,2,6,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,5,2,7,1,6,4] => [7,1,3,2,5,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,2,7,4,1,6] => [6,1,3,2,5,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,2,7,4,6,1] => [5,1,2,7,3,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,2,7,6,1,4] => [6,1,2,7,3,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,2,7,6,4,1] => [2,7,1,6,3,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,4,1,2,6,7] => [1,4,5,3,2,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[3,5,4,1,2,7,6] => [7,1,4,3,2,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,4,1,6,2,7] => [6,1,4,3,2,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,4,1,6,7,2] => [5,1,3,2,7,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,4,1,7,2,6] => [6,1,3,2,7,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,4,1,7,6,2] => [3,1,2,7,6,4,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,4,2,1,6,7] => [5,1,4,3,2,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[3,5,4,2,1,7,6] => [4,1,3,2,7,5,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,4,2,6,1,7] => [4,1,3,2,6,5,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,4,2,6,7,1] => [4,1,3,2,5,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,4,2,7,1,6] => [4,1,3,2,6,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,4,2,7,6,1] => [3,1,2,7,4,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,4,6,1,2,7] => [5,1,3,2,6,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,4,6,1,7,2] => [3,1,2,7,5,4,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,4,6,2,1,7] => [3,1,2,6,5,4,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,4,6,2,7,1] => [3,1,2,5,4,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,4,6,7,1,2] => [3,1,2,6,4,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,4,6,7,2,1] => [3,1,2,4,7,6,5] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,4,7,1,2,6] => [5,1,3,2,6,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,4,7,1,6,2] => [3,1,2,7,5,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,4,7,2,1,6] => [3,1,2,6,5,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,4,7,2,6,1] => [3,1,2,5,7,6,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,4,7,6,1,2] => [3,1,2,6,7,5,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,4,7,6,2,1] => [2,7,1,3,6,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,6,1,2,4,7] => [1,4,5,2,6,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,5,6,1,2,7,4] => [7,1,4,2,5,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,6,1,4,2,7] => [6,1,4,2,5,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,6,1,4,7,2] => [5,1,2,7,4,3,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,6,1,7,2,4] => [6,1,2,7,4,3,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,6,1,7,4,2] => [2,7,1,6,4,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,5,6,2,1,4,7] => [5,1,4,2,6,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,5,6,2,1,7,4] => [4,1,2,7,5,3,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,6,2,4,1,7] => [4,1,2,6,5,3,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,6,2,4,7,1] => [4,1,2,5,3,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,6,2,7,1,4] => [4,1,2,6,3,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,6,2,7,4,1] => [2,7,1,4,3,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,6,4,1,2,7] => [5,1,2,6,4,3,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,5,6,4,1,7,2] => [2,7,1,5,4,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,5,6,4,2,1,7] => [2,6,1,5,4,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,5,6,4,2,7,1] => [2,5,1,4,3,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,6,4,7,1,2] => [2,6,1,4,3,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,6,4,7,2,1] => [2,4,1,3,7,6,5] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,6,7,1,2,4] => [5,1,2,6,3,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,6,7,1,4,2] => [2,7,1,5,3,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,6,7,2,1,4] => [2,6,1,5,3,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,6,7,2,4,1] => [2,5,1,3,7,6,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,6,7,4,1,2] => [2,6,1,3,7,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,6,7,4,2,1] => [2,3,7,1,6,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,5,7,1,2,4,6] => [1,4,5,2,6,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,5,7,1,2,6,4] => [7,1,4,2,5,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,7,1,4,2,6] => [6,1,4,2,5,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,7,1,4,6,2] => [5,1,2,7,4,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,7,1,6,2,4] => [6,1,2,7,4,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,7,1,6,4,2] => [2,7,1,6,4,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,7,2,1,4,6] => [5,1,4,2,6,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,5,7,2,1,6,4] => [4,1,2,7,5,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,7,2,4,1,6] => [4,1,2,6,5,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,7,2,4,6,1] => [4,1,2,5,7,6,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,7,2,6,1,4] => [4,1,2,6,7,5,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,7,2,6,4,1] => [2,7,1,4,6,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,7,4,1,2,6] => [5,1,2,6,4,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,5,7,4,1,6,2] => [2,7,1,5,4,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,7,4,2,1,6] => [2,6,1,5,4,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,5,7,4,2,6,1] => [2,5,1,4,7,6,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,7,4,6,1,2] => [2,6,1,4,7,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,7,4,6,2,1] => [2,4,7,1,6,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,5,7,6,1,2,4] => [5,1,2,6,7,4,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,5,7,6,1,4,2] => [2,7,1,5,6,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,7,6,2,1,4] => [2,6,1,5,7,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,5,7,6,2,4,1] => [2,5,7,1,6,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,5,7,6,4,1,2] => [2,6,7,1,5,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,5,7,6,4,2,1] => [7,2,6,1,5,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,6,1,2,4,5,7] => [3,1,4,5,6,2,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[3,6,1,2,4,7,5] => [1,7,3,4,5,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,6,1,2,5,4,7] => [1,6,3,4,5,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,6,1,2,5,7,4] => [1,5,7,3,4,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,1,2,7,4,5] => [1,6,7,3,4,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,1,2,7,5,4] => [7,1,6,3,4,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,1,4,2,5,7] => [1,5,3,4,6,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,6,1,4,2,7,5] => [1,4,7,3,5,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,1,4,5,2,7] => [1,4,6,3,5,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,1,4,5,7,2] => [1,4,5,7,3,2,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,1,4,7,2,5] => [1,4,6,7,3,2,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,1,4,7,5,2] => [7,1,4,6,3,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,1,5,2,4,7] => [1,5,6,3,4,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,1,5,2,7,4] => [7,1,5,3,4,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,1,5,4,2,7] => [6,1,5,3,4,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,1,5,4,7,2] => [5,1,4,7,3,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,1,5,7,2,4] => [6,1,4,7,3,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,1,5,7,4,2] => [4,7,1,6,3,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,1,7,2,4,5] => [1,5,6,7,3,2,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,1,7,2,5,4] => [7,1,5,6,3,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,1,7,4,2,5] => [6,1,5,7,3,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,1,7,4,5,2] => [5,7,1,6,3,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,1,7,5,2,4] => [6,7,1,5,3,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,1,7,5,4,2] => [7,6,1,5,3,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[3,6,2,1,4,5,7] => [1,4,3,5,6,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[3,6,2,1,4,7,5] => [1,3,7,4,5,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,2,1,5,4,7] => [1,3,6,4,5,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,2,1,5,7,4] => [1,3,5,7,4,2,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,2,1,7,4,5] => [1,3,6,7,4,2,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,2,1,7,5,4] => [7,1,3,6,4,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,2,4,1,5,7] => [1,3,5,4,6,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,2,4,1,7,5] => [1,3,4,7,5,2,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,2,4,5,1,7] => [1,3,4,6,5,2,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,2,4,5,7,1] => [1,3,4,5,2,7,6] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,6,2,4,7,1,5] => [1,3,4,6,2,7,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,6,2,4,7,5,1] => [7,1,3,4,2,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,2,5,1,4,7] => [1,3,5,6,4,2,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,2,5,1,7,4] => [7,1,3,5,4,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,2,5,4,1,7] => [6,1,3,5,4,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,2,5,4,7,1] => [5,1,3,4,2,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,2,5,7,1,4] => [6,1,3,4,2,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,2,5,7,4,1] => [4,7,1,3,2,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,2,7,1,4,5] => [1,3,5,6,2,7,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,6,2,7,1,5,4] => [7,1,3,5,2,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,2,7,4,1,5] => [6,1,3,5,2,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,2,7,4,5,1] => [5,7,1,3,2,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,2,7,5,1,4] => [6,7,1,3,2,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,2,7,5,4,1] => [7,6,1,3,2,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,4,1,2,5,7] => [1,4,5,3,6,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[3,6,4,1,2,7,5] => [7,1,4,3,5,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,4,1,5,2,7] => [6,1,4,3,5,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,4,1,5,7,2] => [5,1,3,7,4,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,4,1,7,2,5] => [6,1,3,7,4,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,4,1,7,5,2] => [3,7,1,6,4,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,4,2,1,5,7] => [5,1,4,3,6,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[3,6,4,2,1,7,5] => [4,1,3,7,5,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,4,2,5,1,7] => [4,1,3,6,5,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,4,2,5,7,1] => [4,1,3,5,2,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,4,2,7,1,5] => [4,1,3,6,2,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,4,2,7,5,1] => [3,7,1,4,2,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,4,5,1,2,7] => [5,1,3,6,4,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,4,5,1,7,2] => [3,7,1,5,4,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,4,5,2,1,7] => [3,6,1,5,4,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,4,5,2,7,1] => [3,5,1,4,2,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,4,5,7,1,2] => [3,6,1,4,2,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,4,5,7,2,1] => [3,4,1,2,7,6,5] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,4,7,1,2,5] => [5,1,3,6,2,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,4,7,1,5,2] => [3,7,1,5,2,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,4,7,2,1,5] => [3,6,1,5,2,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,4,7,2,5,1] => [3,5,1,2,7,6,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,4,7,5,1,2] => [3,6,1,2,7,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,4,7,5,2,1] => [7,3,1,2,6,5,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,5,1,2,4,7] => [1,4,5,6,3,2,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[3,6,5,1,2,7,4] => [7,1,4,5,3,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,5,1,4,2,7] => [6,1,4,5,3,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,5,1,4,7,2] => [5,7,1,4,3,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,5,1,7,2,4] => [6,7,1,4,3,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,5,1,7,4,2] => [7,6,1,4,3,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[3,6,5,2,1,4,7] => [5,1,4,6,3,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[3,6,5,2,1,7,4] => [4,7,1,5,3,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,5,2,4,1,7] => [4,6,1,5,3,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,5,2,4,7,1] => [4,5,1,3,2,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,5,2,7,1,4] => [4,6,1,3,2,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,5,2,7,4,1] => [7,4,1,3,2,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,5,4,1,2,7] => [5,6,1,4,3,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[3,6,5,4,1,7,2] => [7,5,1,4,3,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[3,6,5,4,2,1,7] => [6,5,1,4,3,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[3,6,5,4,2,7,1] => [5,4,1,3,2,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,5,4,7,1,2] => [6,4,1,3,2,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,5,4,7,2,1] => [4,3,1,2,7,6,5] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,5,7,1,2,4] => [5,6,1,3,2,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,5,7,1,4,2] => [7,5,1,3,2,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,5,7,2,1,4] => [6,5,1,3,2,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,5,7,2,4,1] => [5,3,1,2,7,6,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,5,7,4,1,2] => [6,3,1,2,7,5,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,5,7,4,2,1] => [3,2,7,1,6,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,6,7,1,2,4,5] => [1,4,5,6,2,7,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,6,7,1,2,5,4] => [7,1,4,5,2,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,7,1,4,2,5] => [6,1,4,5,2,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,7,1,4,5,2] => [5,7,1,4,2,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,7,1,5,2,4] => [6,7,1,4,2,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,7,1,5,4,2] => [7,6,1,4,2,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,7,2,1,4,5] => [5,1,4,6,2,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,6,7,2,1,5,4] => [4,7,1,5,2,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,7,2,4,1,5] => [4,6,1,5,2,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,7,2,4,5,1] => [4,5,1,2,7,6,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,7,2,5,1,4] => [4,6,1,2,7,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,7,2,5,4,1] => [7,4,1,2,6,5,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,7,4,1,2,5] => [5,6,1,4,2,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,6,7,4,1,5,2] => [7,5,1,4,2,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,7,4,2,1,5] => [6,5,1,4,2,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,6,7,4,2,5,1] => [5,4,1,2,7,6,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,7,4,5,1,2] => [6,4,1,2,7,5,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,7,4,5,2,1] => [4,2,7,1,6,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,6,7,5,1,2,4] => [5,6,1,2,7,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,6,7,5,1,4,2] => [7,5,1,2,6,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,7,5,2,1,4] => [6,5,1,2,7,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,6,7,5,2,4,1] => [5,2,7,1,6,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,6,7,5,4,1,2] => [6,2,7,1,5,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,6,7,5,4,2,1] => [2,7,6,1,5,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[3,7,1,2,4,5,6] => [3,1,4,5,6,7,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[3,7,1,2,4,6,5] => [1,7,3,4,5,6,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,7,1,2,5,4,6] => [1,6,3,4,5,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,7,1,2,5,6,4] => [1,5,7,3,4,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,1,2,6,4,5] => [1,6,7,3,4,5,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,1,2,6,5,4] => [7,1,6,3,4,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,1,4,2,5,6] => [1,5,3,4,6,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,7,1,4,2,6,5] => [1,4,7,3,5,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,1,4,5,2,6] => [1,4,6,3,5,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,1,4,5,6,2] => [1,4,5,7,3,6,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,1,4,6,2,5] => [1,4,6,7,3,5,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,1,4,6,5,2] => [7,1,4,6,3,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,1,5,2,4,6] => [1,5,6,3,4,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,1,5,2,6,4] => [7,1,5,3,4,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,1,5,4,2,6] => [6,1,5,3,4,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,1,5,4,6,2] => [5,1,4,7,3,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,1,5,6,2,4] => [6,1,4,7,3,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,1,5,6,4,2] => [4,7,1,6,3,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,1,6,2,4,5] => [1,5,6,7,3,4,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,1,6,2,5,4] => [7,1,5,6,3,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,1,6,4,2,5] => [6,1,5,7,3,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,1,6,4,5,2] => [5,7,1,6,3,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,1,6,5,2,4] => [6,7,1,5,3,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,1,6,5,4,2] => [7,6,1,5,3,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,7,2,1,4,5,6] => [1,4,3,5,6,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[3,7,2,1,4,6,5] => [1,3,7,4,5,6,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,2,1,5,4,6] => [1,3,6,4,5,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,2,1,5,6,4] => [1,3,5,7,4,6,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,2,1,6,4,5] => [1,3,6,7,4,5,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,2,1,6,5,4] => [7,1,3,6,4,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,2,4,1,5,6] => [1,3,5,4,6,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,2,4,1,6,5] => [1,3,4,7,5,6,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,2,4,5,1,6] => [1,3,4,6,5,7,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,2,4,5,6,1] => [1,3,4,5,7,6,2] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,7,2,4,6,1,5] => [1,3,4,6,7,5,2] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,7,2,4,6,5,1] => [7,1,3,4,6,5,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,2,5,1,4,6] => [1,3,5,6,4,7,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,2,5,1,6,4] => [7,1,3,5,4,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,2,5,4,1,6] => [6,1,3,5,4,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,2,5,4,6,1] => [5,1,3,4,7,6,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,2,5,6,1,4] => [6,1,3,4,7,5,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,2,5,6,4,1] => [4,7,1,3,6,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,2,6,1,4,5] => [1,3,5,6,7,4,2] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,7,2,6,1,5,4] => [7,1,3,5,6,4,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,2,6,4,1,5] => [6,1,3,5,7,4,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,2,6,4,5,1] => [5,7,1,3,6,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,2,6,5,1,4] => [6,7,1,3,5,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,2,6,5,4,1] => [7,6,1,3,5,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,4,1,2,5,6] => [1,4,5,3,6,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[3,7,4,1,2,6,5] => [7,1,4,3,5,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,4,1,5,2,6] => [6,1,4,3,5,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,4,1,5,6,2] => [5,1,3,7,4,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,4,1,6,2,5] => [6,1,3,7,4,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,4,1,6,5,2] => [3,7,1,6,4,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,4,2,1,5,6] => [5,1,4,3,6,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[3,7,4,2,1,6,5] => [4,1,3,7,5,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,4,2,5,1,6] => [4,1,3,6,5,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,4,2,5,6,1] => [4,1,3,5,7,6,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,4,2,6,1,5] => [4,1,3,6,7,5,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,4,2,6,5,1] => [3,7,1,4,6,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,4,5,1,2,6] => [5,1,3,6,4,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,4,5,1,6,2] => [3,7,1,5,4,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,4,5,2,1,6] => [3,6,1,5,4,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,4,5,2,6,1] => [3,5,1,4,7,6,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,4,5,6,1,2] => [3,6,1,4,7,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,4,5,6,2,1] => [3,4,7,1,6,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,4,6,1,2,5] => [5,1,3,6,7,4,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,4,6,1,5,2] => [3,7,1,5,6,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,4,6,2,1,5] => [3,6,1,5,7,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,4,6,2,5,1] => [3,5,7,1,6,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,4,6,5,1,2] => [3,6,7,1,5,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,4,6,5,2,1] => [7,3,6,1,5,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,5,1,2,4,6] => [1,4,5,6,3,7,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[3,7,5,1,2,6,4] => [7,1,4,5,3,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,5,1,4,2,6] => [6,1,4,5,3,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,5,1,4,6,2] => [5,7,1,4,3,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,5,1,6,2,4] => [6,7,1,4,3,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,5,1,6,4,2] => [7,6,1,4,3,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,7,5,2,1,4,6] => [5,1,4,6,3,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[3,7,5,2,1,6,4] => [4,7,1,5,3,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,5,2,4,1,6] => [4,6,1,5,3,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,5,2,4,6,1] => [4,5,1,3,7,6,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,5,2,6,1,4] => [4,6,1,3,7,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,5,2,6,4,1] => [7,4,1,3,6,5,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,5,4,1,2,6] => [5,6,1,4,3,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[3,7,5,4,1,6,2] => [7,5,1,4,3,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,7,5,4,2,1,6] => [6,5,1,4,3,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[3,7,5,4,2,6,1] => [5,4,1,3,7,6,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,5,4,6,1,2] => [6,4,1,3,7,5,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,5,4,6,2,1] => [4,3,7,1,6,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,5,6,1,2,4] => [5,6,1,3,7,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,5,6,1,4,2] => [7,5,1,3,6,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,5,6,2,1,4] => [6,5,1,3,7,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,5,6,2,4,1] => [5,3,7,1,6,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,5,6,4,1,2] => [6,3,7,1,5,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,5,6,4,2,1] => [3,7,6,1,5,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[3,7,6,1,2,4,5] => [1,4,5,6,7,3,2] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[3,7,6,1,2,5,4] => [7,1,4,5,6,3,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,6,1,4,2,5] => [6,1,4,5,7,3,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,6,1,4,5,2] => [5,7,1,4,6,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,6,1,5,2,4] => [6,7,1,4,5,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,6,1,5,4,2] => [7,6,1,4,5,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,6,2,1,4,5] => [5,1,4,6,7,3,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[3,7,6,2,1,5,4] => [4,7,1,5,6,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,6,2,4,1,5] => [4,6,1,5,7,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,6,2,4,5,1] => [4,5,7,1,6,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,6,2,5,1,4] => [4,6,7,1,5,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,6,2,5,4,1] => [7,4,6,1,5,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,6,4,1,2,5] => [5,6,1,4,7,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[3,7,6,4,1,5,2] => [7,5,1,4,6,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,6,4,2,1,5] => [6,5,1,4,7,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[3,7,6,4,2,5,1] => [5,4,7,1,6,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,6,4,5,1,2] => [6,4,7,1,5,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,6,4,5,2,1] => [4,7,6,1,5,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[3,7,6,5,1,2,4] => [5,6,7,1,4,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[3,7,6,5,1,4,2] => [7,5,6,1,4,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,6,5,2,1,4] => [6,5,7,1,4,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[3,7,6,5,2,4,1] => [5,7,6,1,4,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[3,7,6,5,4,1,2] => [6,7,5,1,4,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[3,7,6,5,4,2,1] => [7,6,5,1,4,3,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[4,1,2,3,5,6,7] => [2,3,4,1,5,6,7] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,2,3,5,7,6] => [7,2,3,1,4,5,6] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,3,6,5,7] => [6,2,3,1,4,5,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,3,6,7,5] => [5,7,2,1,3,4,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,7,5,6] => [6,7,2,1,3,4,5] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,7,6,5] => [7,6,2,1,3,4,5] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,3,6,7] => [5,2,3,1,4,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,5,3,7,6] => [4,7,2,1,3,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,5,6,3,7] => [4,6,2,1,3,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,5,6,7,3] => [4,5,1,7,2,3,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,5,7,3,6] => [4,6,1,7,2,3,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,5,7,6,3] => [7,4,1,6,2,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,6,3,5,7] => [5,6,2,1,3,4,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,6,3,7,5] => [7,5,2,1,3,4,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,6,5,3,7] => [6,5,2,1,3,4,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,6,5,7,3] => [5,4,1,7,2,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,6,7,3,5] => [6,4,1,7,2,3,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,6,7,5,3] => [4,1,7,6,2,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,2,7,3,5,6] => [5,6,1,7,2,3,4] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,2,7,3,6,5] => [7,5,1,6,2,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,7,5,3,6] => [6,5,1,7,2,3,4] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,2,7,5,6,3] => [5,1,7,6,2,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,2,7,6,3,5] => [6,1,7,5,2,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,2,7,6,5,3] => [1,7,6,5,2,3,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,1,3,2,5,6,7] => [4,2,3,1,5,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,3,2,5,7,6] => [3,7,2,1,4,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,3,2,6,5,7] => [3,6,2,1,4,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,3,2,6,7,5] => [3,5,1,7,2,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,3,2,7,5,6] => [3,6,1,7,2,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,3,2,7,6,5] => [7,3,1,6,2,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,3,5,2,6,7] => [3,5,2,1,4,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,3,5,2,7,6] => [3,4,1,7,2,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,3,5,6,2,7] => [3,4,1,6,2,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,3,5,6,7,2] => [3,4,1,5,7,2,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,1,3,5,7,2,6] => [3,4,1,6,7,2,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,1,3,5,7,6,2] => [7,3,1,4,6,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,3,6,2,5,7] => [3,5,1,6,2,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,3,6,2,7,5] => [7,3,1,5,2,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,3,6,5,2,7] => [6,3,1,5,2,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,3,6,5,7,2] => [5,3,1,4,7,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,3,6,7,2,5] => [6,3,1,4,7,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,3,6,7,5,2] => [4,1,7,3,6,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,3,7,2,5,6] => [3,5,1,6,7,2,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,1,3,7,2,6,5] => [7,3,1,5,6,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,3,7,5,2,6] => [6,3,1,5,7,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,3,7,5,6,2] => [5,1,7,3,6,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,3,7,6,2,5] => [6,1,7,3,5,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,3,7,6,5,2] => [1,7,6,3,5,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,5,2,3,6,7] => [4,5,2,1,3,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,1,5,2,3,7,6] => [7,4,2,1,3,5,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,5,2,6,3,7] => [6,4,2,1,3,5,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,5,2,6,7,3] => [5,3,1,7,2,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,5,2,7,3,6] => [6,3,1,7,2,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,5,2,7,6,3] => [3,1,7,6,2,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,5,3,2,6,7] => [5,4,2,1,3,6,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,1,5,3,2,7,6] => [4,3,1,7,2,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,6,2,7] => [4,3,1,6,2,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,6,7,2] => [4,3,1,5,7,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,5,3,7,2,6] => [4,3,1,6,7,2,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,5,3,7,6,2] => [3,1,7,4,6,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,5,6,2,3,7] => [5,3,1,6,2,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,5,6,2,7,3] => [3,1,7,5,2,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,5,6,3,2,7] => [3,1,6,5,2,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,5,6,3,7,2] => [3,1,5,4,7,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,5,6,7,2,3] => [3,1,6,4,7,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,5,6,7,3,2] => [3,1,4,7,6,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,5,7,2,3,6] => [5,3,1,6,7,2,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,5,7,2,6,3] => [3,1,7,5,6,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,5,7,3,2,6] => [3,1,6,5,7,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,5,7,3,6,2] => [3,1,5,7,6,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,5,7,6,2,3] => [3,1,6,7,5,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,5,7,6,3,2] => [1,7,3,6,5,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,6,2,3,5,7] => [4,5,1,6,2,3,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,1,6,2,3,7,5] => [7,4,1,5,2,3,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,6,2,5,3,7] => [6,4,1,5,2,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,6,2,5,7,3] => [5,1,7,4,2,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,6,2,7,3,5] => [6,1,7,4,2,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,6,2,7,5,3] => [1,7,6,4,2,3,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,1,6,3,2,5,7] => [5,4,1,6,2,3,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,1,6,3,2,7,5] => [4,1,7,5,2,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,6,3,5,2,7] => [4,1,6,5,2,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,6,3,5,7,2] => [4,1,5,3,7,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,6,3,7,2,5] => [4,1,6,3,7,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,6,3,7,5,2] => [1,7,4,3,6,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,6,5,2,3,7] => [5,1,6,4,2,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,1,6,5,2,7,3] => [1,7,5,4,2,3,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,1,6,5,3,2,7] => [1,6,5,4,2,3,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,1,6,5,3,7,2] => [1,5,4,3,7,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,6,5,7,2,3] => [1,6,4,3,7,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,6,5,7,3,2] => [1,4,3,7,6,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,6,7,2,3,5] => [5,1,6,3,7,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,6,7,2,5,3] => [1,7,5,3,6,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,6,7,3,2,5] => [1,6,5,3,7,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,6,7,3,5,2] => [1,5,3,7,6,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,6,7,5,2,3] => [1,6,3,7,5,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,6,7,5,3,2] => [1,3,7,6,5,2,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,1,7,2,3,5,6] => [4,5,1,6,7,2,3] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,1,7,2,3,6,5] => [7,4,1,5,6,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,7,2,5,3,6] => [6,4,1,5,7,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,7,2,5,6,3] => [5,1,7,4,6,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,7,2,6,3,5] => [6,1,7,4,5,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,7,2,6,5,3] => [1,7,6,4,5,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,7,3,2,5,6] => [5,4,1,6,7,2,3] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,1,7,3,2,6,5] => [4,1,7,5,6,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,7,3,5,2,6] => [4,1,6,5,7,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,7,3,5,6,2] => [4,1,5,7,6,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,7,3,6,2,5] => [4,1,6,7,5,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,7,3,6,5,2] => [1,7,4,6,5,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,7,5,2,3,6] => [5,1,6,4,7,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,1,7,5,2,6,3] => [1,7,5,4,6,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,7,5,3,2,6] => [1,6,5,4,7,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,1,7,5,3,6,2] => [1,5,4,7,6,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,7,5,6,2,3] => [1,6,4,7,5,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,7,5,6,3,2] => [1,4,7,6,5,2,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,1,7,6,2,3,5] => [5,1,6,7,4,2,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,1,7,6,2,5,3] => [1,7,5,6,4,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,7,6,3,2,5] => [1,6,5,7,4,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,1,7,6,3,5,2] => [1,5,7,6,4,2,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,1,7,6,5,2,3] => [1,6,7,5,4,2,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,1,7,6,5,3,2] => [7,1,6,5,4,2,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[4,2,1,3,5,6,7] => [3,2,4,1,5,6,7] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,1,3,5,7,6] => [2,7,3,1,4,5,6] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,2,1,3,6,5,7] => [2,6,3,1,4,5,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,2,1,3,6,7,5] => [2,5,1,7,3,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,3,7,5,6] => [2,6,1,7,3,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,3,7,6,5] => [7,2,1,6,3,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,5,3,6,7] => [2,5,3,1,4,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,2,1,5,3,7,6] => [2,4,1,7,3,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,5,6,3,7] => [2,4,1,6,3,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,5,6,7,3] => [2,4,1,5,7,3,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,1,5,7,3,6] => [2,4,1,6,7,3,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,1,5,7,6,3] => [7,2,1,4,6,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,1,6,3,5,7] => [2,5,1,6,3,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,1,6,3,7,5] => [7,2,1,5,3,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,6,5,3,7] => [6,2,1,5,3,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,1,6,5,7,3] => [5,2,1,4,7,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,1,6,7,3,5] => [6,2,1,4,7,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,1,6,7,5,3] => [4,1,7,2,6,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,1,7,3,5,6] => [2,5,1,6,7,3,4] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,1,7,3,6,5] => [7,2,1,5,6,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,1,7,5,3,6] => [6,2,1,5,7,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,1,7,5,6,3] => [5,1,7,2,6,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,1,7,6,3,5] => [6,1,7,2,5,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,1,7,6,5,3] => [1,7,6,2,5,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,2,3,1,5,6,7] => [2,4,3,1,5,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,2,3,1,5,7,6] => [2,3,1,7,4,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,3,1,6,5,7] => [2,3,1,6,4,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,3,1,6,7,5] => [2,3,1,5,7,4,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,3,1,7,5,6] => [2,3,1,6,7,4,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,3,1,7,6,5] => [7,2,1,3,6,4,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,3,5,1,6,7] => [2,3,1,5,4,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,3,5,1,7,6] => [2,3,1,4,7,5,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,3,5,6,1,7] => [2,3,1,4,6,5,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,3,5,6,7,1] => [2,3,1,4,5,7,6] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[4,2,3,5,7,1,6] => [2,3,1,4,6,7,5] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[4,2,3,5,7,6,1] => [7,2,1,3,4,6,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,3,6,1,5,7] => [2,3,1,5,6,4,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,3,6,1,7,5] => [7,2,1,3,5,4,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,3,6,5,1,7] => [6,2,1,3,5,4,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,3,6,5,7,1] => [5,2,1,3,4,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,3,6,7,1,5] => [6,2,1,3,4,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,3,6,7,5,1] => [4,1,7,2,3,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,3,7,1,5,6] => [2,3,1,5,6,7,4] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[4,2,3,7,1,6,5] => [7,2,1,3,5,6,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,3,7,5,1,6] => [6,2,1,3,5,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,3,7,5,6,1] => [5,1,7,2,3,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,3,7,6,1,5] => [6,1,7,2,3,5,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,3,7,6,5,1] => [1,7,6,2,3,5,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,5,1,3,6,7] => [2,4,1,5,3,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,2,5,1,3,7,6] => [7,2,1,4,3,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,5,1,6,3,7] => [6,2,1,4,3,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,5,1,6,7,3] => [5,2,1,3,7,4,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,5,1,7,3,6] => [6,2,1,3,7,4,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,5,1,7,6,3] => [3,1,7,2,6,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,5,3,1,6,7] => [5,2,1,4,3,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,2,5,3,1,7,6] => [4,2,1,3,7,5,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,5,3,6,1,7] => [4,2,1,3,6,5,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,5,3,6,7,1] => [4,2,1,3,5,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,5,3,7,1,6] => [4,2,1,3,6,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,5,3,7,6,1] => [3,1,7,2,4,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,5,6,1,3,7] => [5,2,1,3,6,4,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,5,6,1,7,3] => [3,1,7,2,5,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,5,6,3,1,7] => [3,1,6,2,5,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,5,6,3,7,1] => [3,1,5,2,4,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,5,6,7,1,3] => [3,1,6,2,4,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,5,6,7,3,1] => [3,1,4,7,2,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,5,7,1,3,6] => [5,2,1,3,6,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,5,7,1,6,3] => [3,1,7,2,5,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,5,7,3,1,6] => [3,1,6,2,5,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,5,7,3,6,1] => [3,1,5,7,2,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,5,7,6,1,3] => [3,1,6,7,2,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,5,7,6,3,1] => [1,7,3,6,2,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,6,1,3,5,7] => [2,4,1,5,6,3,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,2,6,1,3,7,5] => [7,2,1,4,5,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,6,1,5,3,7] => [6,2,1,4,5,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,6,1,5,7,3] => [5,1,7,2,4,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,6,1,7,3,5] => [6,1,7,2,4,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,6,1,7,5,3] => [1,7,6,2,4,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,2,6,3,1,5,7] => [5,2,1,4,6,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,2,6,3,1,7,5] => [4,1,7,2,5,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,6,3,5,1,7] => [4,1,6,2,5,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,6,3,5,7,1] => [4,1,5,2,3,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,6,3,7,1,5] => [4,1,6,2,3,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,6,3,7,5,1] => [1,7,4,2,3,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,6,5,1,3,7] => [5,1,6,2,4,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,2,6,5,1,7,3] => [1,7,5,2,4,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,2,6,5,3,1,7] => [1,6,5,2,4,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,2,6,5,3,7,1] => [1,5,4,2,3,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,6,5,7,1,3] => [1,6,4,2,3,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,6,5,7,3,1] => [1,4,3,7,2,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,6,7,1,3,5] => [5,1,6,2,3,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,6,7,1,5,3] => [1,7,5,2,3,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,6,7,3,1,5] => [1,6,5,2,3,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,6,7,3,5,1] => [1,5,3,7,2,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,6,7,5,1,3] => [1,6,3,7,2,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,6,7,5,3,1] => [1,3,7,6,2,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,2,7,1,3,5,6] => [2,4,1,5,6,7,3] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[4,2,7,1,3,6,5] => [7,2,1,4,5,6,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,7,1,5,3,6] => [6,2,1,4,5,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,7,1,5,6,3] => [5,1,7,2,4,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,7,1,6,3,5] => [6,1,7,2,4,5,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,7,1,6,5,3] => [1,7,6,2,4,5,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,7,3,1,5,6] => [5,2,1,4,6,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,2,7,3,1,6,5] => [4,1,7,2,5,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,7,3,5,1,6] => [4,1,6,2,5,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,7,3,5,6,1] => [4,1,5,7,2,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,7,3,6,1,5] => [4,1,6,7,2,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,7,3,6,5,1] => [1,7,4,6,2,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,7,5,1,3,6] => [5,1,6,2,4,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,2,7,5,1,6,3] => [1,7,5,2,4,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,7,5,3,1,6] => [1,6,5,2,4,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,2,7,5,3,6,1] => [1,5,4,7,2,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,7,5,6,1,3] => [1,6,4,7,2,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,7,5,6,3,1] => [1,4,7,6,2,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,2,7,6,1,3,5] => [5,1,6,7,2,4,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,2,7,6,1,5,3] => [1,7,5,6,2,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,7,6,3,1,5] => [1,6,5,7,2,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,2,7,6,3,5,1] => [1,5,7,6,2,4,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,2,7,6,5,1,3] => [1,6,7,5,2,4,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,2,7,6,5,3,1] => [7,1,6,5,2,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,3,1,2,5,6,7] => [3,4,2,1,5,6,7] => [2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 5
[4,3,1,2,5,7,6] => [7,3,2,1,4,5,6] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,3,1,2,6,5,7] => [6,3,2,1,4,5,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,3,1,2,6,7,5] => [5,2,1,7,3,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,1,2,7,5,6] => [6,2,1,7,3,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,1,2,7,6,5] => [2,1,7,6,3,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,1,5,2,6,7] => [5,3,2,1,4,6,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,3,1,5,2,7,6] => [4,2,1,7,3,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,1,5,6,2,7] => [4,2,1,6,3,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,1,5,6,7,2] => [4,2,1,5,7,3,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,1,5,7,2,6] => [4,2,1,6,7,3,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,1,5,7,6,2] => [2,1,7,4,6,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,1,6,2,5,7] => [5,2,1,6,3,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,1,6,2,7,5] => [2,1,7,5,3,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,1,6,5,2,7] => [2,1,6,5,3,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,1,6,5,7,2] => [2,1,5,4,7,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,1,6,7,2,5] => [2,1,6,4,7,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,1,6,7,5,2] => [2,1,4,7,6,3,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,1,7,2,5,6] => [5,2,1,6,7,3,4] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,1,7,2,6,5] => [2,1,7,5,6,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,1,7,5,2,6] => [2,1,6,5,7,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,1,7,5,6,2] => [2,1,5,7,6,3,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,1,7,6,2,5] => [2,1,6,7,5,3,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,1,7,6,5,2] => [1,7,2,6,5,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 6
[4,3,2,1,5,7,6] => [3,2,1,7,4,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,2,1,6,5,7] => [3,2,1,6,4,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,2,1,6,7,5] => [3,2,1,5,7,4,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,2,1,7,5,6] => [3,2,1,6,7,4,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,2,1,7,6,5] => [2,1,7,3,6,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,2,5,1,6,7] => [3,2,1,5,4,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,2,5,1,7,6] => [3,2,1,4,7,5,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,2,5,6,1,7] => [3,2,1,4,6,5,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,2,5,6,7,1] => [3,2,1,4,5,7,6] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,3,2,5,7,1,6] => [3,2,1,4,6,7,5] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,3,2,5,7,6,1] => [2,1,7,3,4,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,2,6,1,5,7] => [3,2,1,5,6,4,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,2,6,1,7,5] => [2,1,7,3,5,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,2,6,5,1,7] => [2,1,6,3,5,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,2,6,5,7,1] => [2,1,5,3,4,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,2,6,7,1,5] => [2,1,6,3,4,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,2,6,7,5,1] => [2,1,4,7,3,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,2,7,1,5,6] => [3,2,1,5,6,7,4] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,3,2,7,1,6,5] => [2,1,7,3,5,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,2,7,5,1,6] => [2,1,6,3,5,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,2,7,5,6,1] => [2,1,5,7,3,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,2,7,6,1,5] => [2,1,6,7,3,5,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,2,7,6,5,1] => [1,7,2,6,3,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,5,1,2,6,7] => [4,2,1,5,3,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,3,5,1,2,7,6] => [2,1,7,4,3,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,5,1,6,2,7] => [2,1,6,4,3,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,5,1,6,7,2] => [2,1,5,3,7,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,5,1,7,2,6] => [2,1,6,3,7,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,5,1,7,6,2] => [2,1,3,7,6,4,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,5,2,1,6,7] => [2,1,5,4,3,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,3,5,2,1,7,6] => [2,1,4,3,7,5,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,5,2,6,1,7] => [2,1,4,3,6,5,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,5,2,6,7,1] => [2,1,4,3,5,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,5,2,7,1,6] => [2,1,4,3,6,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,5,2,7,6,1] => [2,1,3,7,4,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,5,6,1,2,7] => [2,1,5,3,6,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,5,6,1,7,2] => [2,1,3,7,5,4,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,5,6,2,1,7] => [2,1,3,6,5,4,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,5,6,2,7,1] => [2,1,3,5,4,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,5,6,7,1,2] => [2,1,3,6,4,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,5,6,7,2,1] => [2,1,3,4,7,6,5] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,5,7,1,2,6] => [2,1,5,3,6,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,5,7,1,6,2] => [2,1,3,7,5,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,5,7,2,1,6] => [2,1,3,6,5,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,5,7,2,6,1] => [2,1,3,5,7,6,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,5,7,6,1,2] => [2,1,3,6,7,5,4] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,5,7,6,2,1] => [1,7,2,3,6,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,6,1,2,5,7] => [4,2,1,5,6,3,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,3,6,1,2,7,5] => [2,1,7,4,5,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,6,1,5,2,7] => [2,1,6,4,5,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,6,1,5,7,2] => [2,1,5,7,4,3,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,6,1,7,2,5] => [2,1,6,7,4,3,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,6,1,7,5,2] => [1,7,2,6,4,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,3,6,2,1,5,7] => [2,1,5,4,6,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,3,6,2,1,7,5] => [2,1,4,7,5,3,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,6,2,5,1,7] => [2,1,4,6,5,3,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,6,2,5,7,1] => [2,1,4,5,3,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,6,2,7,1,5] => [2,1,4,6,3,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,6,2,7,5,1] => [1,7,2,4,3,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,6,5,1,2,7] => [2,1,5,6,4,3,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,3,6,5,1,7,2] => [1,7,2,5,4,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,3,6,5,2,1,7] => [1,6,2,5,4,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,3,6,5,2,7,1] => [1,5,2,4,3,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,6,5,7,1,2] => [1,6,2,4,3,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,6,5,7,2,1] => [1,4,2,3,7,6,5] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,6,7,1,2,5] => [2,1,5,6,3,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,6,7,1,5,2] => [1,7,2,5,3,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,6,7,2,1,5] => [1,6,2,5,3,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,6,7,2,5,1] => [1,5,2,3,7,6,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,6,7,5,1,2] => [1,6,2,3,7,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,6,7,5,2,1] => [1,3,7,2,6,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,3,7,1,2,5,6] => [4,2,1,5,6,7,3] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,3,7,1,2,6,5] => [2,1,7,4,5,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,7,1,5,2,6] => [2,1,6,4,5,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,7,1,5,6,2] => [2,1,5,7,4,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,7,1,6,2,5] => [2,1,6,7,4,5,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,7,1,6,5,2] => [1,7,2,6,4,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,7,2,1,5,6] => [2,1,5,4,6,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,3,7,2,1,6,5] => [2,1,4,7,5,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,7,2,5,1,6] => [2,1,4,6,5,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,7,2,5,6,1] => [2,1,4,5,7,6,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,7,2,6,1,5] => [2,1,4,6,7,5,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,7,2,6,5,1] => [1,7,2,4,6,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,7,5,1,2,6] => [2,1,5,6,4,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,3,7,5,1,6,2] => [1,7,2,5,4,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,7,5,2,1,6] => [1,6,2,5,4,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,3,7,5,2,6,1] => [1,5,2,4,7,6,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,7,5,6,1,2] => [1,6,2,4,7,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,7,5,6,2,1] => [1,4,7,2,6,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,3,7,6,1,2,5] => [2,1,5,6,7,4,3] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,3,7,6,1,5,2] => [1,7,2,5,6,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,7,6,2,1,5] => [1,6,2,5,7,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,3,7,6,2,5,1] => [1,5,7,2,6,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,3,7,6,5,1,2] => [1,6,7,2,5,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,3,7,6,5,2,1] => [7,1,6,2,5,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,5,1,2,3,6,7] => [3,4,1,5,2,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[4,5,1,2,3,7,6] => [7,3,1,4,2,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,5,1,2,6,3,7] => [6,3,1,4,2,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,5,1,2,6,7,3] => [5,1,7,3,2,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,1,2,7,3,6] => [6,1,7,3,2,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,1,2,7,6,3] => [1,7,6,3,2,4,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,1,3,2,6,7] => [5,3,1,4,2,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,5,1,3,2,7,6] => [4,1,7,3,2,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,1,3,6,2,7] => [4,1,6,3,2,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,1,3,6,7,2] => [4,1,5,2,7,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,1,3,7,2,6] => [4,1,6,2,7,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,1,3,7,6,2] => [1,7,4,2,6,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,1,6,2,3,7] => [5,1,6,3,2,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,1,6,2,7,3] => [1,7,5,3,2,4,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,1,6,3,2,7] => [1,6,5,3,2,4,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,1,6,3,7,2] => [1,5,4,2,7,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,1,6,7,2,3] => [1,6,4,2,7,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,1,6,7,3,2] => [1,4,2,7,6,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,1,7,2,3,6] => [5,1,6,2,7,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,1,7,2,6,3] => [1,7,5,2,6,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,1,7,3,2,6] => [1,6,5,2,7,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,1,7,3,6,2] => [1,5,2,7,6,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,1,7,6,2,3] => [1,6,2,7,5,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,1,7,6,3,2] => [1,2,7,6,5,3,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,5,2,1,3,6,7] => [4,3,1,5,2,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[4,5,2,1,3,7,6] => [3,1,7,4,2,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,2,1,6,3,7] => [3,1,6,4,2,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,2,1,6,7,3] => [3,1,5,2,7,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,2,1,7,3,6] => [3,1,6,2,7,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,2,1,7,6,3] => [1,7,3,2,6,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,2,3,1,6,7] => [3,1,5,4,2,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,2,3,1,7,6] => [3,1,4,2,7,5,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,2,3,6,1,7] => [3,1,4,2,6,5,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,2,3,6,7,1] => [3,1,4,2,5,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,5,2,3,7,1,6] => [3,1,4,2,6,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,5,2,3,7,6,1] => [1,7,3,2,4,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,2,6,1,3,7] => [3,1,5,2,6,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,2,6,1,7,3] => [1,7,3,2,5,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,2,6,3,1,7] => [1,6,3,2,5,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,2,6,3,7,1] => [1,5,3,2,4,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,2,6,7,1,3] => [1,6,3,2,4,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,2,6,7,3,1] => [1,4,2,7,3,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,2,7,1,3,6] => [3,1,5,2,6,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,5,2,7,1,6,3] => [1,7,3,2,5,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,2,7,3,1,6] => [1,6,3,2,5,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,2,7,3,6,1] => [1,5,2,7,3,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,2,7,6,1,3] => [1,6,2,7,3,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,2,7,6,3,1] => [1,2,7,6,3,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,3,1,2,6,7] => [4,1,5,3,2,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[4,5,3,1,2,7,6] => [1,7,4,3,2,5,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,3,1,6,2,7] => [1,6,4,3,2,5,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,3,1,6,7,2] => [1,5,3,2,7,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,3,1,7,2,6] => [1,6,3,2,7,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,3,1,7,6,2] => [1,3,2,7,6,4,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,3,2,1,6,7] => [1,5,4,3,2,6,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[4,5,3,2,1,7,6] => [1,4,3,2,7,5,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,3,2,6,1,7] => [1,4,3,2,6,5,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,3,2,6,7,1] => [1,4,3,2,5,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,3,2,7,1,6] => [1,4,3,2,6,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,3,2,7,6,1] => [1,3,2,7,4,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,3,6,1,2,7] => [1,5,3,2,6,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,3,6,1,7,2] => [1,3,2,7,5,4,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,3,6,2,1,7] => [1,3,2,6,5,4,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,3,6,2,7,1] => [1,3,2,5,4,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,3,6,7,1,2] => [1,3,2,6,4,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,3,6,7,2,1] => [1,3,2,4,7,6,5] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,3,7,1,2,6] => [1,5,3,2,6,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,3,7,1,6,2] => [1,3,2,7,5,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,3,7,2,1,6] => [1,3,2,6,5,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,3,7,2,6,1] => [1,3,2,5,7,6,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,3,7,6,1,2] => [1,3,2,6,7,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,3,7,6,2,1] => [1,2,7,3,6,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,6,1,2,3,7] => [4,1,5,2,6,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,5,6,1,2,7,3] => [1,7,4,2,5,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,6,1,3,2,7] => [1,6,4,2,5,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,6,1,3,7,2] => [1,5,2,7,4,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,6,1,7,2,3] => [1,6,2,7,4,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,6,1,7,3,2] => [1,2,7,6,4,3,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,5,6,2,1,3,7] => [1,5,4,2,6,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,5,6,2,1,7,3] => [1,4,2,7,5,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,6,2,3,1,7] => [1,4,2,6,5,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,6,2,3,7,1] => [1,4,2,5,3,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,6,2,7,1,3] => [1,4,2,6,3,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,6,2,7,3,1] => [1,2,7,4,3,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,6,3,1,2,7] => [1,5,2,6,4,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,5,6,3,1,7,2] => [1,2,7,5,4,3,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,5,6,3,2,1,7] => [1,2,6,5,4,3,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,5,6,3,2,7,1] => [1,2,5,4,3,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,6,3,7,1,2] => [1,2,6,4,3,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,6,3,7,2,1] => [1,2,4,3,7,6,5] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,6,7,1,2,3] => [1,5,2,6,3,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,6,7,1,3,2] => [1,2,7,5,3,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,6,7,2,1,3] => [1,2,6,5,3,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,6,7,2,3,1] => [1,2,5,3,7,6,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,6,7,3,1,2] => [1,2,6,3,7,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,5,7,1,2,3,6] => [4,1,5,2,6,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,5,7,1,2,6,3] => [1,7,4,2,5,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,7,1,3,2,6] => [1,6,4,2,5,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,7,1,3,6,2] => [1,5,2,7,4,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,7,1,6,2,3] => [1,6,2,7,4,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,7,1,6,3,2] => [1,2,7,6,4,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,7,2,1,3,6] => [1,5,4,2,6,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,5,7,2,1,6,3] => [1,4,2,7,5,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,7,2,3,1,6] => [1,4,2,6,5,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,7,2,3,6,1] => [1,4,2,5,7,6,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,7,2,6,1,3] => [1,4,2,6,7,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,7,2,6,3,1] => [1,2,7,4,6,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,7,3,1,2,6] => [1,5,2,6,4,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,5,7,3,1,6,2] => [1,2,7,5,4,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,7,3,2,1,6] => [1,2,6,5,4,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,5,7,3,2,6,1] => [1,2,5,4,7,6,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,7,3,6,1,2] => [1,2,6,4,7,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,7,3,6,2,1] => [1,2,4,7,6,5,3] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,5,7,6,1,2,3] => [1,5,2,6,7,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,5,7,6,1,3,2] => [1,2,7,5,6,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,7,6,2,1,3] => [1,2,6,5,7,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,5,7,6,2,3,1] => [1,2,5,7,6,4,3] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,5,7,6,3,1,2] => [1,2,6,7,5,4,3] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,5,7,6,3,2,1] => [7,1,2,6,5,4,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,6,1,2,3,5,7] => [3,4,1,5,6,2,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[4,6,1,2,3,7,5] => [7,3,1,4,5,2,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,6,1,2,5,3,7] => [6,3,1,4,5,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,6,1,2,5,7,3] => [5,1,7,3,4,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,1,2,7,3,5] => [6,1,7,3,4,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,1,2,7,5,3] => [1,7,6,3,4,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,1,3,2,5,7] => [5,3,1,4,6,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,6,1,3,2,7,5] => [4,1,7,3,5,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,1,3,5,2,7] => [4,1,6,3,5,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,1,3,5,7,2] => [4,1,5,7,3,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,1,3,7,2,5] => [4,1,6,7,3,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,1,3,7,5,2] => [1,7,4,6,3,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,1,5,2,3,7] => [5,1,6,3,4,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,1,5,2,7,3] => [1,7,5,3,4,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,1,5,3,2,7] => [1,6,5,3,4,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,1,5,3,7,2] => [1,5,4,7,3,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,1,5,7,2,3] => [1,6,4,7,3,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,1,5,7,3,2] => [1,4,7,6,3,2,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,1,7,2,3,5] => [5,1,6,7,3,2,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,1,7,2,5,3] => [1,7,5,6,3,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,1,7,3,2,5] => [1,6,5,7,3,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,1,7,3,5,2] => [1,5,7,6,3,2,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,1,7,5,2,3] => [1,6,7,5,3,2,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,1,7,5,3,2] => [7,1,6,5,3,2,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[4,6,2,1,3,5,7] => [4,3,1,5,6,2,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[4,6,2,1,3,7,5] => [3,1,7,4,5,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,2,1,5,3,7] => [3,1,6,4,5,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,2,1,5,7,3] => [3,1,5,7,4,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,2,1,7,3,5] => [3,1,6,7,4,2,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,2,1,7,5,3] => [1,7,3,6,4,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,2,3,1,5,7] => [3,1,5,4,6,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,2,3,1,7,5] => [3,1,4,7,5,2,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,2,3,5,1,7] => [3,1,4,6,5,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,2,3,5,7,1] => [3,1,4,5,2,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,6,2,3,7,1,5] => [3,1,4,6,2,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,6,2,3,7,5,1] => [1,7,3,4,2,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,2,5,1,3,7] => [3,1,5,6,4,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,2,5,1,7,3] => [1,7,3,5,4,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,2,5,3,1,7] => [1,6,3,5,4,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,2,5,3,7,1] => [1,5,3,4,2,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,2,5,7,1,3] => [1,6,3,4,2,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,2,5,7,3,1] => [1,4,7,3,2,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,2,7,1,3,5] => [3,1,5,6,2,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,6,2,7,1,5,3] => [1,7,3,5,2,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,2,7,3,1,5] => [1,6,3,5,2,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,2,7,3,5,1] => [1,5,7,3,2,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,2,7,5,1,3] => [1,6,7,3,2,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,2,7,5,3,1] => [7,1,6,3,2,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,3,1,2,5,7] => [4,1,5,3,6,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[4,6,3,1,2,7,5] => [1,7,4,3,5,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,3,1,5,2,7] => [1,6,4,3,5,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,3,1,5,7,2] => [1,5,3,7,4,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,3,1,7,2,5] => [1,6,3,7,4,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,3,1,7,5,2] => [1,3,7,6,4,2,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,3,2,1,5,7] => [1,5,4,3,6,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[4,6,3,2,1,7,5] => [1,4,3,7,5,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,3,2,5,1,7] => [1,4,3,6,5,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,3,2,5,7,1] => [1,4,3,5,2,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,3,2,7,1,5] => [1,4,3,6,2,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,3,2,7,5,1] => [1,3,7,4,2,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,3,5,1,2,7] => [1,5,3,6,4,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,3,5,1,7,2] => [1,3,7,5,4,2,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,3,5,2,1,7] => [1,3,6,5,4,2,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,3,5,2,7,1] => [1,3,5,4,2,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,3,5,7,1,2] => [1,3,6,4,2,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,3,5,7,2,1] => [1,3,4,2,7,6,5] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,3,7,1,2,5] => [1,5,3,6,2,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,3,7,1,5,2] => [1,3,7,5,2,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,3,7,2,1,5] => [1,3,6,5,2,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,3,7,2,5,1] => [1,3,5,2,7,6,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,3,7,5,1,2] => [1,3,6,2,7,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,3,7,5,2,1] => [7,1,3,2,6,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,5,1,2,3,7] => [4,1,5,6,3,2,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[4,6,5,1,2,7,3] => [1,7,4,5,3,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,5,1,3,2,7] => [1,6,4,5,3,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,5,1,3,7,2] => [1,5,7,4,3,2,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,5,1,7,2,3] => [1,6,7,4,3,2,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,5,1,7,3,2] => [7,1,6,4,3,2,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[4,6,5,2,1,3,7] => [1,5,4,6,3,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[4,6,5,2,1,7,3] => [1,4,7,5,3,2,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,5,2,3,1,7] => [1,4,6,5,3,2,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,5,2,3,7,1] => [1,4,5,3,2,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,5,2,7,1,3] => [1,4,6,3,2,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,5,2,7,3,1] => [7,1,4,3,2,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,5,3,1,2,7] => [1,5,6,4,3,2,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[4,6,5,3,1,7,2] => [7,1,5,4,3,2,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[4,6,5,3,2,1,7] => [6,1,5,4,3,2,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[4,6,5,3,2,7,1] => [5,1,4,3,2,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,5,3,7,1,2] => [6,1,4,3,2,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,5,3,7,2,1] => [4,1,3,2,7,6,5] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,5,7,1,2,3] => [1,5,6,3,2,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,5,7,1,3,2] => [7,1,5,3,2,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,5,7,2,1,3] => [6,1,5,3,2,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,5,7,2,3,1] => [5,1,3,2,7,6,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,5,7,3,1,2] => [6,1,3,2,7,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,5,7,3,2,1] => [3,1,2,7,6,5,4] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,6,7,1,2,3,5] => [4,1,5,6,2,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,6,7,1,2,5,3] => [1,7,4,5,2,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,7,1,3,2,5] => [1,6,4,5,2,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,7,1,3,5,2] => [1,5,7,4,2,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,7,1,5,2,3] => [1,6,7,4,2,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,7,1,5,3,2] => [7,1,6,4,2,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,7,2,1,3,5] => [1,5,4,6,2,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,6,7,2,1,5,3] => [1,4,7,5,2,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,7,2,3,1,5] => [1,4,6,5,2,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,7,2,3,5,1] => [1,4,5,2,7,6,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,7,2,5,1,3] => [1,4,6,2,7,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,7,2,5,3,1] => [7,1,4,2,6,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,7,3,1,2,5] => [1,5,6,4,2,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,6,7,3,1,5,2] => [7,1,5,4,2,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,7,3,2,1,5] => [6,1,5,4,2,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,6,7,3,2,5,1] => [5,1,4,2,7,6,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,7,3,5,1,2] => [6,1,4,2,7,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,7,3,5,2,1] => [4,1,2,7,6,5,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,6,7,5,1,2,3] => [1,5,6,2,7,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,6,7,5,1,3,2] => [7,1,5,2,6,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,7,5,2,1,3] => [6,1,5,2,7,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,6,7,5,2,3,1] => [5,1,2,7,6,4,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,6,7,5,3,1,2] => [6,1,2,7,5,4,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,6,7,5,3,2,1] => [2,7,1,6,5,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[4,7,1,2,3,5,6] => [3,4,1,5,6,7,2] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[4,7,1,2,3,6,5] => [7,3,1,4,5,6,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,7,1,2,5,3,6] => [6,3,1,4,5,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,7,1,2,5,6,3] => [5,1,7,3,4,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,1,2,6,3,5] => [6,1,7,3,4,5,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,1,2,6,5,3] => [1,7,6,3,4,5,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,1,3,2,5,6] => [5,3,1,4,6,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,7,1,3,2,6,5] => [4,1,7,3,5,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,1,3,5,2,6] => [4,1,6,3,5,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,1,3,5,6,2] => [4,1,5,7,3,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,1,3,6,2,5] => [4,1,6,7,3,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,1,3,6,5,2] => [1,7,4,6,3,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,1,5,2,3,6] => [5,1,6,3,4,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,1,5,2,6,3] => [1,7,5,3,4,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,1,5,3,2,6] => [1,6,5,3,4,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,1,5,3,6,2] => [1,5,4,7,3,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,1,5,6,2,3] => [1,6,4,7,3,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,1,5,6,3,2] => [1,4,7,6,3,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,1,6,2,3,5] => [5,1,6,7,3,4,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,1,6,2,5,3] => [1,7,5,6,3,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,1,6,3,2,5] => [1,6,5,7,3,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,1,6,3,5,2] => [1,5,7,6,3,4,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,1,6,5,2,3] => [1,6,7,5,3,4,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,1,6,5,3,2] => [7,1,6,5,3,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,7,2,1,3,5,6] => [4,3,1,5,6,7,2] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[4,7,2,1,3,6,5] => [3,1,7,4,5,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,2,1,5,3,6] => [3,1,6,4,5,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,2,1,5,6,3] => [3,1,5,7,4,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,2,1,6,3,5] => [3,1,6,7,4,5,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,2,1,6,5,3] => [1,7,3,6,4,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,2,3,1,5,6] => [3,1,5,4,6,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,2,3,1,6,5] => [3,1,4,7,5,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,2,3,5,1,6] => [3,1,4,6,5,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,2,3,5,6,1] => [3,1,4,5,7,6,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,7,2,3,6,1,5] => [3,1,4,6,7,5,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,7,2,3,6,5,1] => [1,7,3,4,6,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,2,5,1,3,6] => [3,1,5,6,4,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,2,5,1,6,3] => [1,7,3,5,4,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,2,5,3,1,6] => [1,6,3,5,4,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,2,5,3,6,1] => [1,5,3,4,7,6,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,2,5,6,1,3] => [1,6,3,4,7,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,2,5,6,3,1] => [1,4,7,3,6,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,2,6,1,3,5] => [3,1,5,6,7,4,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,7,2,6,1,5,3] => [1,7,3,5,6,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,2,6,3,1,5] => [1,6,3,5,7,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,2,6,3,5,1] => [1,5,7,3,6,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,2,6,5,1,3] => [1,6,7,3,5,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,2,6,5,3,1] => [7,1,6,3,5,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,3,1,2,5,6] => [4,1,5,3,6,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[4,7,3,1,2,6,5] => [1,7,4,3,5,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,3,1,5,2,6] => [1,6,4,3,5,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,3,1,5,6,2] => [1,5,3,7,4,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,3,1,6,2,5] => [1,6,3,7,4,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,3,1,6,5,2] => [1,3,7,6,4,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,3,2,1,5,6] => [1,5,4,3,6,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[4,7,3,2,1,6,5] => [1,4,3,7,5,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,3,2,5,1,6] => [1,4,3,6,5,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,3,2,5,6,1] => [1,4,3,5,7,6,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,3,2,6,1,5] => [1,4,3,6,7,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,3,2,6,5,1] => [1,3,7,4,6,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,3,5,1,2,6] => [1,5,3,6,4,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,3,5,1,6,2] => [1,3,7,5,4,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,3,5,2,1,6] => [1,3,6,5,4,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,3,5,2,6,1] => [1,3,5,4,7,6,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,3,5,6,1,2] => [1,3,6,4,7,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,3,5,6,2,1] => [1,3,4,7,6,5,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,3,6,1,2,5] => [1,5,3,6,7,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,3,6,1,5,2] => [1,3,7,5,6,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,3,6,2,1,5] => [1,3,6,5,7,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,3,6,2,5,1] => [1,3,5,7,6,4,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,3,6,5,1,2] => [1,3,6,7,5,4,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,3,6,5,2,1] => [7,1,3,6,5,4,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,5,1,2,3,6] => [4,1,5,6,3,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[4,7,5,1,2,6,3] => [1,7,4,5,3,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,5,1,3,2,6] => [1,6,4,5,3,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,5,1,3,6,2] => [1,5,7,4,3,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,5,1,6,2,3] => [1,6,7,4,3,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,5,1,6,3,2] => [7,1,6,4,3,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,7,5,2,1,3,6] => [1,5,4,6,3,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[4,7,5,2,1,6,3] => [1,4,7,5,3,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,5,2,3,1,6] => [1,4,6,5,3,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,5,2,3,6,1] => [1,4,5,3,7,6,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,5,2,6,1,3] => [1,4,6,3,7,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,5,2,6,3,1] => [7,1,4,3,6,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,5,3,1,2,6] => [1,5,6,4,3,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[4,7,5,3,1,6,2] => [7,1,5,4,3,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,7,5,3,2,1,6] => [6,1,5,4,3,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[4,7,5,3,2,6,1] => [5,1,4,3,7,6,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,5,3,6,1,2] => [6,1,4,3,7,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,5,3,6,2,1] => [4,1,3,7,6,5,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,5,6,1,2,3] => [1,5,6,3,7,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,5,6,1,3,2] => [7,1,5,3,6,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,5,6,2,1,3] => [6,1,5,3,7,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,5,6,2,3,1] => [5,1,3,7,6,4,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,5,6,3,1,2] => [6,1,3,7,5,4,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,5,6,3,2,1] => [3,7,1,6,5,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[4,7,6,1,2,3,5] => [4,1,5,6,7,3,2] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[4,7,6,1,2,5,3] => [1,7,4,5,6,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,6,1,3,2,5] => [1,6,4,5,7,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,6,1,3,5,2] => [1,5,7,4,6,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,6,1,5,2,3] => [1,6,7,4,5,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,6,1,5,3,2] => [7,1,6,4,5,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,6,2,1,3,5] => [1,5,4,6,7,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[4,7,6,2,1,5,3] => [1,4,7,5,6,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,6,2,3,1,5] => [1,4,6,5,7,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,6,2,3,5,1] => [1,4,5,7,6,3,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,6,2,5,1,3] => [1,4,6,7,5,3,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,6,2,5,3,1] => [7,1,4,6,5,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,6,3,1,2,5] => [1,5,6,4,7,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[4,7,6,3,1,5,2] => [7,1,5,4,6,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,6,3,2,1,5] => [6,1,5,4,7,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[4,7,6,3,2,5,1] => [5,1,4,7,6,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,6,3,5,1,2] => [6,1,4,7,5,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,6,3,5,2,1] => [4,7,1,6,5,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[4,7,6,5,1,2,3] => [1,5,6,7,4,3,2] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[4,7,6,5,1,3,2] => [7,1,5,6,4,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,6,5,2,1,3] => [6,1,5,7,4,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[4,7,6,5,2,3,1] => [5,7,1,6,4,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[4,7,6,5,3,1,2] => [6,7,1,5,4,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[4,7,6,5,3,2,1] => [7,6,1,5,4,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[5,1,2,3,4,6,7] => [2,3,4,5,1,6,7] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 4
[5,1,2,3,4,7,6] => [7,2,3,4,1,5,6] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[5,1,2,3,6,4,7] => [6,2,3,4,1,5,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[5,1,2,3,6,7,4] => [5,7,2,3,1,4,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,2,3,7,4,6] => [6,7,2,3,1,4,5] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,2,3,7,6,4] => [7,6,2,3,1,4,5] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,2,4,3,6,7] => [5,2,3,4,1,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[5,1,2,4,3,7,6] => [4,7,2,3,1,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,2,4,6,3,7] => [4,6,2,3,1,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,2,4,6,7,3] => [4,5,7,2,1,3,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,2,4,7,3,6] => [4,6,7,2,1,3,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,2,4,7,6,3] => [7,4,6,2,1,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,2,6,3,4,7] => [5,6,2,3,1,4,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,2,6,3,7,4] => [7,5,2,3,1,4,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,2,6,4,3,7] => [6,5,2,3,1,4,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,2,6,4,7,3] => [5,4,7,2,1,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,2,6,7,3,4] => [6,4,7,2,1,3,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,2,6,7,4,3] => [4,7,6,2,1,3,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,2,7,3,4,6] => [5,6,7,2,1,3,4] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,2,7,3,6,4] => [7,5,6,2,1,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,2,7,4,3,6] => [6,5,7,2,1,3,4] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,2,7,4,6,3] => [5,7,6,2,1,3,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,2,7,6,3,4] => [6,7,5,2,1,3,4] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,2,7,6,4,3] => [7,6,5,2,1,3,4] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,1,3,2,4,6,7] => [4,2,3,5,1,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[5,1,3,2,4,7,6] => [3,7,2,4,1,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,3,2,6,4,7] => [3,6,2,4,1,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,3,2,6,7,4] => [3,5,7,2,1,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,3,2,7,4,6] => [3,6,7,2,1,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,3,2,7,6,4] => [7,3,6,2,1,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,3,4,2,6,7] => [3,5,2,4,1,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,3,4,2,7,6] => [3,4,7,2,1,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,3,4,6,2,7] => [3,4,6,2,1,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,3,4,6,7,2] => [3,4,5,1,7,2,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,1,3,4,7,2,6] => [3,4,6,1,7,2,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,1,3,4,7,6,2] => [7,3,4,1,6,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,3,6,2,4,7] => [3,5,6,2,1,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,3,6,2,7,4] => [7,3,5,2,1,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,3,6,4,2,7] => [6,3,5,2,1,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,3,6,4,7,2] => [5,3,4,1,7,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,3,6,7,2,4] => [6,3,4,1,7,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,3,6,7,4,2] => [4,7,3,1,6,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,3,7,2,4,6] => [3,5,6,1,7,2,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,1,3,7,2,6,4] => [7,3,5,1,6,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,3,7,4,2,6] => [6,3,5,1,7,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,3,7,4,6,2] => [5,7,3,1,6,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,3,7,6,2,4] => [6,7,3,1,5,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,3,7,6,4,2] => [7,6,3,1,5,2,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,4,2,3,6,7] => [4,5,2,3,1,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,1,4,2,3,7,6] => [7,4,2,3,1,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,4,2,6,3,7] => [6,4,2,3,1,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,4,2,6,7,3] => [5,3,7,2,1,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,4,2,7,3,6] => [6,3,7,2,1,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,4,2,7,6,3] => [3,7,6,2,1,4,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,4,3,2,6,7] => [5,4,2,3,1,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,1,4,3,2,7,6] => [4,3,7,2,1,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,4,3,6,2,7] => [4,3,6,2,1,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,4,3,6,7,2] => [4,3,5,1,7,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,4,3,7,2,6] => [4,3,6,1,7,2,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,4,3,7,6,2] => [3,7,4,1,6,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,4,6,2,3,7] => [5,3,6,2,1,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,4,6,2,7,3] => [3,7,5,2,1,4,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,4,6,3,2,7] => [3,6,5,2,1,4,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,4,6,3,7,2] => [3,5,4,1,7,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,4,6,7,2,3] => [3,6,4,1,7,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,4,6,7,3,2] => [3,4,1,7,6,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,4,7,2,3,6] => [5,3,6,1,7,2,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,4,7,2,6,3] => [3,7,5,1,6,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,4,7,3,2,6] => [3,6,5,1,7,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,4,7,3,6,2] => [3,5,1,7,6,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,4,7,6,2,3] => [3,6,1,7,5,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,4,7,6,3,2] => [7,3,1,6,5,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,6,2,3,4,7] => [4,5,6,2,1,3,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,1,6,2,3,7,4] => [7,4,5,2,1,3,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,6,2,4,3,7] => [6,4,5,2,1,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,6,2,4,7,3] => [5,7,4,2,1,3,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,6,2,7,3,4] => [6,7,4,2,1,3,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,6,2,7,4,3] => [7,6,4,2,1,3,5] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,1,6,3,2,4,7] => [5,4,6,2,1,3,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,1,6,3,2,7,4] => [4,7,5,2,1,3,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,6,3,4,2,7] => [4,6,5,2,1,3,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,6,3,4,7,2] => [4,5,3,1,7,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,6,3,7,2,4] => [4,6,3,1,7,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,6,3,7,4,2] => [7,4,3,1,6,2,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,4,2,3,7] => [5,6,4,2,1,3,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,1,6,4,2,7,3] => [7,5,4,2,1,3,6] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,1,6,4,3,2,7] => [6,5,4,2,1,3,7] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,1,6,4,3,7,2] => [5,4,3,1,7,2,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,4,7,2,3] => [6,4,3,1,7,2,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,4,7,3,2] => [4,3,1,7,6,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,6,7,2,3,4] => [5,6,3,1,7,2,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,6,7,2,4,3] => [7,5,3,1,6,2,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,7,3,2,4] => [6,5,3,1,7,2,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,7,3,4,2] => [5,3,1,7,6,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,6,7,4,2,3] => [6,3,1,7,5,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,6,7,4,3,2] => [3,1,7,6,5,2,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,1,7,2,3,4,6] => [4,5,6,1,7,2,3] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,1,7,2,3,6,4] => [7,4,5,1,6,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,7,2,4,3,6] => [6,4,5,1,7,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,7,2,4,6,3] => [5,7,4,1,6,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,7,2,6,3,4] => [6,7,4,1,5,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,7,2,6,4,3] => [7,6,4,1,5,2,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,7,3,2,4,6] => [5,4,6,1,7,2,3] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,1,7,3,2,6,4] => [4,7,5,1,6,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,7,3,4,2,6] => [4,6,5,1,7,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,7,3,4,6,2] => [4,5,1,7,6,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,7,3,6,2,4] => [4,6,1,7,5,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,7,3,6,4,2] => [7,4,1,6,5,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,7,4,2,3,6] => [5,6,4,1,7,2,3] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,1,7,4,2,6,3] => [7,5,4,1,6,2,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,7,4,3,2,6] => [6,5,4,1,7,2,3] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,1,7,4,3,6,2] => [5,4,1,7,6,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,7,4,6,2,3] => [6,4,1,7,5,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,7,4,6,3,2] => [4,1,7,6,5,2,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,1,7,6,2,3,4] => [5,6,1,7,4,2,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,1,7,6,2,4,3] => [7,5,1,6,4,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,7,6,3,2,4] => [6,5,1,7,4,2,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,1,7,6,3,4,2] => [5,1,7,6,4,2,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,1,7,6,4,2,3] => [6,1,7,5,4,2,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,1,7,6,4,3,2] => [1,7,6,5,4,2,3] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[5,2,1,3,4,6,7] => [3,2,4,5,1,6,7] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 5
[5,2,1,3,4,7,6] => [2,7,3,4,1,5,6] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,2,1,3,6,4,7] => [2,6,3,4,1,5,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,2,1,3,6,7,4] => [2,5,7,3,1,4,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,1,3,7,4,6] => [2,6,7,3,1,4,5] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,1,3,7,6,4] => [7,2,6,3,1,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,1,4,3,6,7] => [2,5,3,4,1,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,2,1,4,3,7,6] => [2,4,7,3,1,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,1,4,6,3,7] => [2,4,6,3,1,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,1,4,6,7,3] => [2,4,5,1,7,3,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,1,4,7,3,6] => [2,4,6,1,7,3,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,1,4,7,6,3] => [7,2,4,1,6,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,1,6,3,4,7] => [2,5,6,3,1,4,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,1,6,3,7,4] => [7,2,5,3,1,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,1,6,4,3,7] => [6,2,5,3,1,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,1,6,4,7,3] => [5,2,4,1,7,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,1,6,7,3,4] => [6,2,4,1,7,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,1,6,7,4,3] => [4,7,2,1,6,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,1,7,3,4,6] => [2,5,6,1,7,3,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,1,7,3,6,4] => [7,2,5,1,6,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,1,7,4,3,6] => [6,2,5,1,7,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,1,7,4,6,3] => [5,7,2,1,6,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,1,7,6,3,4] => [6,7,2,1,5,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,1,7,6,4,3] => [7,6,2,1,5,3,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,2,3,1,4,6,7] => [2,4,3,5,1,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,2,3,1,4,7,6] => [2,3,7,4,1,5,6] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,3,1,6,4,7] => [2,3,6,4,1,5,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,3,1,6,7,4] => [2,3,5,1,7,4,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,3,1,7,4,6] => [2,3,6,1,7,4,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,3,1,7,6,4] => [7,2,3,1,6,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,3,4,1,6,7] => [2,3,5,4,1,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,3,4,1,7,6] => [2,3,4,1,7,5,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,3,4,6,1,7] => [2,3,4,1,6,5,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,3,4,6,7,1] => [2,3,4,1,5,7,6] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[5,2,3,4,7,1,6] => [2,3,4,1,6,7,5] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[5,2,3,4,7,6,1] => [7,2,3,1,4,6,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,3,6,1,4,7] => [2,3,5,1,6,4,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,3,6,1,7,4] => [7,2,3,1,5,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,3,6,4,1,7] => [6,2,3,1,5,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,3,6,4,7,1] => [5,2,3,1,4,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,3,6,7,1,4] => [6,2,3,1,4,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,3,6,7,4,1] => [4,7,2,1,3,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,3,7,1,4,6] => [2,3,5,1,6,7,4] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[5,2,3,7,1,6,4] => [7,2,3,1,5,6,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,3,7,4,1,6] => [6,2,3,1,5,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,3,7,4,6,1] => [5,7,2,1,3,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,3,7,6,1,4] => [6,7,2,1,3,5,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,3,7,6,4,1] => [7,6,2,1,3,5,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,4,1,3,6,7] => [2,4,5,3,1,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,2,4,1,3,7,6] => [7,2,4,3,1,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,4,1,6,3,7] => [6,2,4,3,1,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,4,1,6,7,3] => [5,2,3,1,7,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,4,1,7,3,6] => [6,2,3,1,7,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,4,1,7,6,3] => [3,7,2,1,6,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,4,3,1,6,7] => [5,2,4,3,1,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,2,4,3,1,7,6] => [4,2,3,1,7,5,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,4,3,6,1,7] => [4,2,3,1,6,5,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,4,3,6,7,1] => [4,2,3,1,5,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,4,3,7,1,6] => [4,2,3,1,6,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,4,3,7,6,1] => [3,7,2,1,4,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,4,6,1,3,7] => [5,2,3,1,6,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,4,6,1,7,3] => [3,7,2,1,5,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,4,6,3,1,7] => [3,6,2,1,5,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,4,6,3,7,1] => [3,5,2,1,4,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,4,6,7,1,3] => [3,6,2,1,4,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,4,6,7,3,1] => [3,4,1,7,2,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,4,7,1,3,6] => [5,2,3,1,6,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,4,7,1,6,3] => [3,7,2,1,5,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,4,7,3,1,6] => [3,6,2,1,5,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,4,7,3,6,1] => [3,5,1,7,2,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,4,7,6,1,3] => [3,6,1,7,2,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,4,7,6,3,1] => [7,3,1,6,2,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,6,1,3,4,7] => [2,4,5,1,6,3,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,2,6,1,3,7,4] => [7,2,4,1,5,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,6,1,4,3,7] => [6,2,4,1,5,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,6,1,4,7,3] => [5,7,2,1,4,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,6,1,7,3,4] => [6,7,2,1,4,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,6,1,7,4,3] => [7,6,2,1,4,3,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,2,6,3,1,4,7] => [5,2,4,1,6,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,2,6,3,1,7,4] => [4,7,2,1,5,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,6,3,4,1,7] => [4,6,2,1,5,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,6,3,4,7,1] => [4,5,2,1,3,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,6,3,7,1,4] => [4,6,2,1,3,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,6,3,7,4,1] => [7,4,2,1,3,6,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,4,1,3,7] => [5,6,2,1,4,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,2,6,4,1,7,3] => [7,5,2,1,4,3,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,2,6,4,3,1,7] => [6,5,2,1,4,3,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,2,6,4,3,7,1] => [5,4,2,1,3,7,6] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,4,7,1,3] => [6,4,2,1,3,7,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,4,7,3,1] => [4,3,1,7,2,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,6,7,1,3,4] => [5,6,2,1,3,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,6,7,1,4,3] => [7,5,2,1,3,6,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,7,3,1,4] => [6,5,2,1,3,7,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,7,3,4,1] => [5,3,1,7,2,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,6,7,4,1,3] => [6,3,1,7,2,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,6,7,4,3,1] => [3,1,7,6,2,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,2,7,1,3,4,6] => [2,4,5,1,6,7,3] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[5,2,7,1,3,6,4] => [7,2,4,1,5,6,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,7,1,4,3,6] => [6,2,4,1,5,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,7,1,4,6,3] => [5,7,2,1,4,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,7,1,6,3,4] => [6,7,2,1,4,5,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,7,1,6,4,3] => [7,6,2,1,4,5,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,7,3,1,4,6] => [5,2,4,1,6,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,2,7,3,1,6,4] => [4,7,2,1,5,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,7,3,4,1,6] => [4,6,2,1,5,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,7,3,4,6,1] => [4,5,1,7,2,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,7,3,6,1,4] => [4,6,1,7,2,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,7,3,6,4,1] => [7,4,1,6,2,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,7,4,1,3,6] => [5,6,2,1,4,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,2,7,4,1,6,3] => [7,5,2,1,4,6,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,7,4,3,1,6] => [6,5,2,1,4,7,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,2,7,4,3,6,1] => [5,4,1,7,2,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,7,4,6,1,3] => [6,4,1,7,2,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,7,4,6,3,1] => [4,1,7,6,2,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,2,7,6,1,3,4] => [5,6,1,7,2,4,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,2,7,6,1,4,3] => [7,5,1,6,2,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,7,6,3,1,4] => [6,5,1,7,2,4,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,2,7,6,3,4,1] => [5,1,7,6,2,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,2,7,6,4,1,3] => [6,1,7,5,2,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,2,7,6,4,3,1] => [1,7,6,5,2,4,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,3,1,2,4,6,7] => [3,4,2,5,1,6,7] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 6
[5,3,1,2,4,7,6] => [7,3,2,4,1,5,6] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,3,1,2,6,4,7] => [6,3,2,4,1,5,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,3,1,2,6,7,4] => [5,2,7,3,1,4,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,1,2,7,4,6] => [6,2,7,3,1,4,5] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,1,2,7,6,4] => [2,7,6,3,1,4,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,1,4,2,6,7] => [5,3,2,4,1,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,3,1,4,2,7,6] => [4,2,7,3,1,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,1,4,6,2,7] => [4,2,6,3,1,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,1,4,6,7,2] => [4,2,5,1,7,3,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,1,4,7,2,6] => [4,2,6,1,7,3,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,1,4,7,6,2] => [2,7,4,1,6,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,1,6,2,4,7] => [5,2,6,3,1,4,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,1,6,2,7,4] => [2,7,5,3,1,4,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,1,6,4,2,7] => [2,6,5,3,1,4,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,1,6,4,7,2] => [2,5,4,1,7,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,1,6,7,2,4] => [2,6,4,1,7,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,1,6,7,4,2] => [2,4,1,7,6,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,1,7,2,4,6] => [5,2,6,1,7,3,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,1,7,2,6,4] => [2,7,5,1,6,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,1,7,4,2,6] => [2,6,5,1,7,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,1,7,4,6,2] => [2,5,1,7,6,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,1,7,6,2,4] => [2,6,1,7,5,3,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,1,7,6,4,2] => [7,2,1,6,5,3,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,3,2,1,4,6,7] => [4,3,2,5,1,6,7] => [1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 7
[5,3,2,1,4,7,6] => [3,2,7,4,1,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,2,1,6,4,7] => [3,2,6,4,1,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,2,1,6,7,4] => [3,2,5,1,7,4,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,2,1,7,4,6] => [3,2,6,1,7,4,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,2,1,7,6,4] => [2,7,3,1,6,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,2,4,1,6,7] => [3,2,5,4,1,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,2,4,1,7,6] => [3,2,4,1,7,5,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,2,4,6,1,7] => [3,2,4,1,6,5,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,2,4,6,7,1] => [3,2,4,1,5,7,6] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,3,2,4,7,1,6] => [3,2,4,1,6,7,5] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,3,2,4,7,6,1] => [2,7,3,1,4,6,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,2,6,1,4,7] => [3,2,5,1,6,4,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,2,6,1,7,4] => [2,7,3,1,5,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,2,6,4,1,7] => [2,6,3,1,5,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,2,6,4,7,1] => [2,5,3,1,4,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,2,6,7,1,4] => [2,6,3,1,4,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,2,6,7,4,1] => [2,4,1,7,3,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,2,7,1,4,6] => [3,2,5,1,6,7,4] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,3,2,7,1,6,4] => [2,7,3,1,5,6,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,2,7,4,1,6] => [2,6,3,1,5,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,2,7,4,6,1] => [2,5,1,7,3,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,2,7,6,1,4] => [2,6,1,7,3,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,2,7,6,4,1] => [7,2,1,6,3,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,4,1,2,6,7] => [4,2,5,3,1,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,3,4,1,2,7,6] => [2,7,4,3,1,5,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,4,1,6,2,7] => [2,6,4,3,1,5,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,4,1,6,7,2] => [2,5,3,1,7,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,4,1,7,2,6] => [2,6,3,1,7,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,4,1,7,6,2] => [2,3,1,7,6,4,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,4,2,1,6,7] => [2,5,4,3,1,6,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,3,4,2,1,7,6] => [2,4,3,1,7,5,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,4,2,6,1,7] => [2,4,3,1,6,5,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,4,2,6,7,1] => [2,4,3,1,5,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,4,2,7,1,6] => [2,4,3,1,6,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,4,2,7,6,1] => [2,3,1,7,4,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,4,6,1,2,7] => [2,5,3,1,6,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,4,6,1,7,2] => [2,3,1,7,5,4,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,4,6,2,1,7] => [2,3,1,6,5,4,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,4,6,2,7,1] => [2,3,1,5,4,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,4,6,7,1,2] => [2,3,1,6,4,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,4,6,7,2,1] => [2,3,1,4,7,6,5] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,4,7,1,2,6] => [2,5,3,1,6,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,4,7,1,6,2] => [2,3,1,7,5,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,4,7,2,1,6] => [2,3,1,6,5,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,4,7,2,6,1] => [2,3,1,5,7,6,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,4,7,6,1,2] => [2,3,1,6,7,5,4] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,4,7,6,2,1] => [7,2,1,3,6,5,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,6,1,2,4,7] => [4,2,5,1,6,3,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,3,6,1,2,7,4] => [2,7,4,1,5,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,6,1,4,2,7] => [2,6,4,1,5,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,6,1,4,7,2] => [2,5,1,7,4,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,6,1,7,2,4] => [2,6,1,7,4,3,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,6,1,7,4,2] => [7,2,1,6,4,3,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,3,6,2,1,4,7] => [2,5,4,1,6,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,3,6,2,1,7,4] => [2,4,1,7,5,3,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,6,2,4,1,7] => [2,4,1,6,5,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,6,2,4,7,1] => [2,4,1,5,3,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,6,2,7,1,4] => [2,4,1,6,3,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,6,2,7,4,1] => [7,2,1,4,3,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,6,4,1,2,7] => [2,5,1,6,4,3,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,3,6,4,1,7,2] => [7,2,1,5,4,3,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,3,6,4,2,1,7] => [6,2,1,5,4,3,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,3,6,4,2,7,1] => [5,2,1,4,3,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,6,4,7,1,2] => [6,2,1,4,3,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,6,4,7,2,1] => [4,2,1,3,7,6,5] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,6,7,1,2,4] => [2,5,1,6,3,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,6,7,1,4,2] => [7,2,1,5,3,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,6,7,2,1,4] => [6,2,1,5,3,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,6,7,2,4,1] => [5,2,1,3,7,6,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,6,7,4,1,2] => [6,2,1,3,7,5,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,6,7,4,2,1] => [3,1,7,2,6,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,3,7,1,2,4,6] => [4,2,5,1,6,7,3] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,3,7,1,2,6,4] => [2,7,4,1,5,6,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,7,1,4,2,6] => [2,6,4,1,5,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,7,1,4,6,2] => [2,5,1,7,4,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,7,1,6,2,4] => [2,6,1,7,4,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,7,1,6,4,2] => [7,2,1,6,4,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,7,2,1,4,6] => [2,5,4,1,6,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,3,7,2,1,6,4] => [2,4,1,7,5,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,7,2,4,1,6] => [2,4,1,6,5,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,7,2,4,6,1] => [2,4,1,5,7,6,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,7,2,6,1,4] => [2,4,1,6,7,5,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,7,2,6,4,1] => [7,2,1,4,6,5,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,7,4,1,2,6] => [2,5,1,6,4,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,3,7,4,1,6,2] => [7,2,1,5,4,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,7,4,2,1,6] => [6,2,1,5,4,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,3,7,4,2,6,1] => [5,2,1,4,7,6,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,7,4,6,1,2] => [6,2,1,4,7,5,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,7,4,6,2,1] => [4,1,7,2,6,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,3,7,6,1,2,4] => [2,5,1,6,7,4,3] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,3,7,6,1,4,2] => [7,2,1,5,6,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,7,6,2,1,4] => [6,2,1,5,7,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,3,7,6,2,4,1] => [5,1,7,2,6,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,3,7,6,4,1,2] => [6,1,7,2,5,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,3,7,6,4,2,1] => [1,7,6,2,5,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,4,1,2,3,6,7] => [3,4,5,2,1,6,7] => [3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 7
[5,4,1,2,3,7,6] => [7,3,4,2,1,5,6] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,4,1,2,6,3,7] => [6,3,4,2,1,5,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,4,1,2,6,7,3] => [5,7,3,2,1,4,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,1,2,7,3,6] => [6,7,3,2,1,4,5] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,1,2,7,6,3] => [7,6,3,2,1,4,5] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,1,3,2,6,7] => [5,3,4,2,1,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,4,1,3,2,7,6] => [4,7,3,2,1,5,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,1,3,6,2,7] => [4,6,3,2,1,5,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,1,3,6,7,2] => [4,5,2,1,7,3,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,1,3,7,2,6] => [4,6,2,1,7,3,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,1,3,7,6,2] => [7,4,2,1,6,3,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,6,2,3,7] => [5,6,3,2,1,4,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,1,6,2,7,3] => [7,5,3,2,1,4,6] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,1,6,3,2,7] => [6,5,3,2,1,4,7] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,1,6,3,7,2] => [5,4,2,1,7,3,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,6,7,2,3] => [6,4,2,1,7,3,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,6,7,3,2] => [4,2,1,7,6,3,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,1,7,2,3,6] => [5,6,2,1,7,3,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,1,7,2,6,3] => [7,5,2,1,6,3,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,7,3,2,6] => [6,5,2,1,7,3,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,7,3,6,2] => [5,2,1,7,6,3,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,1,7,6,2,3] => [6,2,1,7,5,3,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,1,7,6,3,2] => [2,1,7,6,5,3,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,4,2,1,3,6,7] => [4,3,5,2,1,6,7] => [1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 8
[5,4,2,1,3,7,6] => [3,7,4,2,1,5,6] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,2,1,6,3,7] => [3,6,4,2,1,5,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,2,1,6,7,3] => [3,5,2,1,7,4,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,2,1,7,3,6] => [3,6,2,1,7,4,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,2,1,7,6,3] => [7,3,2,1,6,4,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,2,3,1,6,7] => [3,5,4,2,1,6,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,2,3,1,7,6] => [3,4,2,1,7,5,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,2,3,6,1,7] => [3,4,2,1,6,5,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,2,3,6,7,1] => [3,4,2,1,5,7,6] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,4,2,3,7,1,6] => [3,4,2,1,6,7,5] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,4,2,3,7,6,1] => [7,3,2,1,4,6,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,6,1,3,7] => [3,5,2,1,6,4,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,2,6,1,7,3] => [7,3,2,1,5,4,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,2,6,3,1,7] => [6,3,2,1,5,4,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,2,6,3,7,1] => [5,3,2,1,4,7,6] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,6,7,1,3] => [6,3,2,1,4,7,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,6,7,3,1] => [4,2,1,7,3,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,2,7,1,3,6] => [3,5,2,1,6,7,4] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,4,2,7,1,6,3] => [7,3,2,1,5,6,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,7,3,1,6] => [6,3,2,1,5,7,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,7,3,6,1] => [5,2,1,7,3,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,2,7,6,1,3] => [6,2,1,7,3,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,2,7,6,3,1] => [2,1,7,6,3,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,3,1,2,6,7] => [4,5,3,2,1,6,7] => [2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 9
[5,4,3,1,2,7,6] => [7,4,3,2,1,5,6] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,3,1,6,2,7] => [6,4,3,2,1,5,7] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,3,1,6,7,2] => [5,3,2,1,7,4,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,1,7,2,6] => [6,3,2,1,7,4,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,1,7,6,2] => [3,2,1,7,6,4,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10
[5,4,3,2,1,7,6] => [4,3,2,1,7,5,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,2,6,1,7] => [4,3,2,1,6,5,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,2,6,7,1] => [4,3,2,1,5,7,6] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,3,2,7,1,6] => [4,3,2,1,6,7,5] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,3,2,7,6,1] => [3,2,1,7,4,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,3,6,1,2,7] => [5,3,2,1,6,4,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,6,1,7,2] => [3,2,1,7,5,4,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,3,6,2,1,7] => [3,2,1,6,5,4,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,3,6,2,7,1] => [3,2,1,5,4,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,3,6,7,1,2] => [3,2,1,6,4,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,3,6,7,2,1] => [3,2,1,4,7,6,5] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,3,7,1,2,6] => [5,3,2,1,6,7,4] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,3,7,1,6,2] => [3,2,1,7,5,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,3,7,2,1,6] => [3,2,1,6,5,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,3,7,2,6,1] => [3,2,1,5,7,6,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,3,7,6,1,2] => [3,2,1,6,7,5,4] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,3,7,6,2,1] => [2,1,7,3,6,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,6,1,2,3,7] => [4,5,2,1,6,3,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,4,6,1,2,7,3] => [7,4,2,1,5,3,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,6,1,3,2,7] => [6,4,2,1,5,3,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,6,1,3,7,2] => [5,2,1,7,4,3,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,6,1,7,2,3] => [6,2,1,7,4,3,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,6,1,7,3,2] => [2,1,7,6,4,3,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,4,6,2,1,3,7] => [5,4,2,1,6,3,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,4,6,2,1,7,3] => [4,2,1,7,5,3,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,6,2,3,1,7] => [4,2,1,6,5,3,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,6,2,3,7,1] => [4,2,1,5,3,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,6,2,7,1,3] => [4,2,1,6,3,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,6,2,7,3,1] => [2,1,7,4,3,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,6,3,1,2,7] => [5,2,1,6,4,3,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,4,6,3,1,7,2] => [2,1,7,5,4,3,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,4,6,3,2,1,7] => [2,1,6,5,4,3,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,4,6,3,2,7,1] => [2,1,5,4,3,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,6,3,7,1,2] => [2,1,6,4,3,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,6,3,7,2,1] => [2,1,4,3,7,6,5] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,6,7,1,2,3] => [5,2,1,6,3,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,6,7,1,3,2] => [2,1,7,5,3,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,6,7,2,1,3] => [2,1,6,5,3,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,6,7,2,3,1] => [2,1,5,3,7,6,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,6,7,3,1,2] => [2,1,6,3,7,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,6,7,3,2,1] => [2,1,3,7,6,5,4] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,4,7,1,2,3,6] => [4,5,2,1,6,7,3] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,4,7,1,2,6,3] => [7,4,2,1,5,6,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,7,1,3,2,6] => [6,4,2,1,5,7,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,7,1,3,6,2] => [5,2,1,7,4,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,7,1,6,2,3] => [6,2,1,7,4,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,7,1,6,3,2] => [2,1,7,6,4,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,7,2,1,3,6] => [5,4,2,1,6,7,3] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,4,7,2,1,6,3] => [4,2,1,7,5,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,7,2,3,1,6] => [4,2,1,6,5,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,7,2,3,6,1] => [4,2,1,5,7,6,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,7,2,6,1,3] => [4,2,1,6,7,5,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,7,2,6,3,1] => [2,1,7,4,6,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,7,3,1,2,6] => [5,2,1,6,4,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,4,7,3,1,6,2] => [2,1,7,5,4,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,7,3,2,1,6] => [2,1,6,5,4,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,4,7,3,2,6,1] => [2,1,5,4,7,6,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,7,3,6,1,2] => [2,1,6,4,7,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,7,3,6,2,1] => [2,1,4,7,6,5,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,4,7,6,1,2,3] => [5,2,1,6,7,4,3] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,4,7,6,1,3,2] => [2,1,7,5,6,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,7,6,2,1,3] => [2,1,6,5,7,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,4,7,6,2,3,1] => [2,1,5,7,6,4,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,4,7,6,3,1,2] => [2,1,6,7,5,4,3] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,4,7,6,3,2,1] => [1,7,2,6,5,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,6,1,2,3,4,7] => [3,4,5,1,6,2,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[5,6,1,2,3,7,4] => [7,3,4,1,5,2,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,6,1,2,4,3,7] => [6,3,4,1,5,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,6,1,2,4,7,3] => [5,7,3,1,4,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,1,2,7,3,4] => [6,7,3,1,4,2,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,1,2,7,4,3] => [7,6,3,1,4,2,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,1,3,2,4,7] => [5,3,4,1,6,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,6,1,3,2,7,4] => [4,7,3,1,5,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,1,3,4,2,7] => [4,6,3,1,5,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,1,3,4,7,2] => [4,5,1,7,3,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,1,3,7,2,4] => [4,6,1,7,3,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,1,3,7,4,2] => [7,4,1,6,3,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,1,4,2,3,7] => [5,6,3,1,4,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,1,4,2,7,3] => [7,5,3,1,4,2,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,1,4,3,2,7] => [6,5,3,1,4,2,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,1,4,3,7,2] => [5,4,1,7,3,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,1,4,7,2,3] => [6,4,1,7,3,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,1,4,7,3,2] => [4,1,7,6,3,2,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,1,7,2,3,4] => [5,6,1,7,3,2,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,1,7,2,4,3] => [7,5,1,6,3,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,1,7,3,2,4] => [6,5,1,7,3,2,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,1,7,3,4,2] => [5,1,7,6,3,2,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,1,7,4,2,3] => [6,1,7,5,3,2,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,1,7,4,3,2] => [1,7,6,5,3,2,4] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[5,6,2,1,3,4,7] => [4,3,5,1,6,2,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[5,6,2,1,3,7,4] => [3,7,4,1,5,2,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,2,1,4,3,7] => [3,6,4,1,5,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,2,1,4,7,3] => [3,5,1,7,4,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,2,1,7,3,4] => [3,6,1,7,4,2,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,2,1,7,4,3] => [7,3,1,6,4,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,2,3,1,4,7] => [3,5,4,1,6,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,2,3,1,7,4] => [3,4,1,7,5,2,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,2,3,4,1,7] => [3,4,1,6,5,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,2,3,4,7,1] => [3,4,1,5,2,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,6,2,3,7,1,4] => [3,4,1,6,2,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,6,2,3,7,4,1] => [7,3,1,4,2,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,2,4,1,3,7] => [3,5,1,6,4,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,2,4,1,7,3] => [7,3,1,5,4,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,2,4,3,1,7] => [6,3,1,5,4,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,2,4,3,7,1] => [5,3,1,4,2,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,2,4,7,1,3] => [6,3,1,4,2,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,2,4,7,3,1] => [4,1,7,3,2,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,2,7,1,3,4] => [3,5,1,6,2,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,6,2,7,1,4,3] => [7,3,1,5,2,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,2,7,3,1,4] => [6,3,1,5,2,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,2,7,3,4,1] => [5,1,7,3,2,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,2,7,4,1,3] => [6,1,7,3,2,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,2,7,4,3,1] => [1,7,6,3,2,5,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,3,1,2,4,7] => [4,5,3,1,6,2,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[5,6,3,1,2,7,4] => [7,4,3,1,5,2,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,3,1,4,2,7] => [6,4,3,1,5,2,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,3,1,4,7,2] => [5,3,1,7,4,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,3,1,7,2,4] => [6,3,1,7,4,2,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,3,1,7,4,2] => [3,1,7,6,4,2,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,3,2,1,4,7] => [5,4,3,1,6,2,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[5,6,3,2,1,7,4] => [4,3,1,7,5,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,3,2,4,1,7] => [4,3,1,6,5,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,3,2,4,7,1] => [4,3,1,5,2,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,3,2,7,1,4] => [4,3,1,6,2,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,3,2,7,4,1] => [3,1,7,4,2,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,3,4,1,2,7] => [5,3,1,6,4,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,3,4,1,7,2] => [3,1,7,5,4,2,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,3,4,2,1,7] => [3,1,6,5,4,2,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,3,4,2,7,1] => [3,1,5,4,2,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,3,4,7,1,2] => [3,1,6,4,2,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,3,4,7,2,1] => [3,1,4,2,7,6,5] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,3,7,1,2,4] => [5,3,1,6,2,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,3,7,1,4,2] => [3,1,7,5,2,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,3,7,2,1,4] => [3,1,6,5,2,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,3,7,2,4,1] => [3,1,5,2,7,6,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,3,7,4,1,2] => [3,1,6,2,7,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,3,7,4,2,1] => [1,7,3,2,6,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,4,1,2,3,7] => [4,5,1,6,3,2,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[5,6,4,1,2,7,3] => [7,4,1,5,3,2,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,4,1,3,2,7] => [6,4,1,5,3,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,4,1,3,7,2] => [5,1,7,4,3,2,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,4,1,7,2,3] => [6,1,7,4,3,2,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,4,1,7,3,2] => [1,7,6,4,3,2,5] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[5,6,4,2,1,3,7] => [5,4,1,6,3,2,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[5,6,4,2,1,7,3] => [4,1,7,5,3,2,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,4,2,3,1,7] => [4,1,6,5,3,2,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,4,2,3,7,1] => [4,1,5,3,2,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,4,2,7,1,3] => [4,1,6,3,2,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,4,2,7,3,1] => [1,7,4,3,2,6,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,4,3,1,2,7] => [5,1,6,4,3,2,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[5,6,4,3,1,7,2] => [1,7,5,4,3,2,6] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[5,6,4,3,2,1,7] => [1,6,5,4,3,2,7] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[5,6,4,3,2,7,1] => [1,5,4,3,2,7,6] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,4,3,7,1,2] => [1,6,4,3,2,7,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,4,3,7,2,1] => [1,4,3,2,7,6,5] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,4,7,1,2,3] => [5,1,6,3,2,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,4,7,1,3,2] => [1,7,5,3,2,6,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,4,7,2,1,3] => [1,6,5,3,2,7,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,4,7,2,3,1] => [1,5,3,2,7,6,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,4,7,3,1,2] => [1,6,3,2,7,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,4,7,3,2,1] => [1,3,2,7,6,5,4] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,6,7,1,2,3,4] => [4,5,1,6,2,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,6,7,1,2,4,3] => [7,4,1,5,2,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,7,1,3,2,4] => [6,4,1,5,2,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,7,1,3,4,2] => [5,1,7,4,2,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,7,1,4,2,3] => [6,1,7,4,2,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,7,1,4,3,2] => [1,7,6,4,2,5,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,7,2,1,3,4] => [5,4,1,6,2,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,6,7,2,1,4,3] => [4,1,7,5,2,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,7,2,3,1,4] => [4,1,6,5,2,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,7,2,3,4,1] => [4,1,5,2,7,6,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,7,2,4,1,3] => [4,1,6,2,7,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,7,2,4,3,1] => [1,7,4,2,6,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,7,3,1,2,4] => [5,1,6,4,2,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,6,7,3,1,4,2] => [1,7,5,4,2,6,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,7,3,2,1,4] => [1,6,5,4,2,7,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,6,7,3,2,4,1] => [1,5,4,2,7,6,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,7,3,4,1,2] => [1,6,4,2,7,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,7,3,4,2,1] => [1,4,2,7,6,5,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,6,7,4,1,2,3] => [5,1,6,2,7,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,6,7,4,1,3,2] => [1,7,5,2,6,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,7,4,2,1,3] => [1,6,5,2,7,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,6,7,4,2,3,1] => [1,5,2,7,6,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,6,7,4,3,1,2] => [1,6,2,7,5,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,6,7,4,3,2,1] => [1,2,7,6,5,4,3] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[5,7,1,2,3,4,6] => [3,4,5,1,6,7,2] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[5,7,1,2,3,6,4] => [7,3,4,1,5,6,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,7,1,2,4,3,6] => [6,3,4,1,5,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,7,1,2,4,6,3] => [5,7,3,1,4,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,1,2,6,3,4] => [6,7,3,1,4,5,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,1,2,6,4,3] => [7,6,3,1,4,5,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,1,3,2,4,6] => [5,3,4,1,6,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,7,1,3,2,6,4] => [4,7,3,1,5,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,1,3,4,2,6] => [4,6,3,1,5,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,1,3,4,6,2] => [4,5,1,7,3,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,1,3,6,2,4] => [4,6,1,7,3,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,1,3,6,4,2] => [7,4,1,6,3,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,1,4,2,3,6] => [5,6,3,1,4,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,1,4,2,6,3] => [7,5,3,1,4,6,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,1,4,3,2,6] => [6,5,3,1,4,7,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,1,4,3,6,2] => [5,4,1,7,3,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,1,4,6,2,3] => [6,4,1,7,3,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,1,4,6,3,2] => [4,1,7,6,3,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,1,6,2,3,4] => [5,6,1,7,3,4,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,1,6,2,4,3] => [7,5,1,6,3,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,1,6,3,2,4] => [6,5,1,7,3,4,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,1,6,3,4,2] => [5,1,7,6,3,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,1,6,4,2,3] => [6,1,7,5,3,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,1,6,4,3,2] => [1,7,6,5,3,4,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,7,2,1,3,4,6] => [4,3,5,1,6,7,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[5,7,2,1,3,6,4] => [3,7,4,1,5,6,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,2,1,4,3,6] => [3,6,4,1,5,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,2,1,4,6,3] => [3,5,1,7,4,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,2,1,6,3,4] => [3,6,1,7,4,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,2,1,6,4,3] => [7,3,1,6,4,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,2,3,1,4,6] => [3,5,4,1,6,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,2,3,1,6,4] => [3,4,1,7,5,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,2,3,4,1,6] => [3,4,1,6,5,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,2,3,4,6,1] => [3,4,1,5,7,6,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,7,2,3,6,1,4] => [3,4,1,6,7,5,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,7,2,3,6,4,1] => [7,3,1,4,6,5,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,2,4,1,3,6] => [3,5,1,6,4,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,2,4,1,6,3] => [7,3,1,5,4,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,2,4,3,1,6] => [6,3,1,5,4,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,2,4,3,6,1] => [5,3,1,4,7,6,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,2,4,6,1,3] => [6,3,1,4,7,5,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,2,4,6,3,1] => [4,1,7,3,6,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,2,6,1,3,4] => [3,5,1,6,7,4,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,7,2,6,1,4,3] => [7,3,1,5,6,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,2,6,3,1,4] => [6,3,1,5,7,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,2,6,3,4,1] => [5,1,7,3,6,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,2,6,4,1,3] => [6,1,7,3,5,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,2,6,4,3,1] => [1,7,6,3,5,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,3,1,2,4,6] => [4,5,3,1,6,7,2] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[5,7,3,1,2,6,4] => [7,4,3,1,5,6,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,3,1,4,2,6] => [6,4,3,1,5,7,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,3,1,4,6,2] => [5,3,1,7,4,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,3,1,6,2,4] => [6,3,1,7,4,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,3,1,6,4,2] => [3,1,7,6,4,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,3,2,1,4,6] => [5,4,3,1,6,7,2] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[5,7,3,2,1,6,4] => [4,3,1,7,5,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,3,2,4,1,6] => [4,3,1,6,5,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,3,2,4,6,1] => [4,3,1,5,7,6,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,3,2,6,1,4] => [4,3,1,6,7,5,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,3,2,6,4,1] => [3,1,7,4,6,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,3,4,1,2,6] => [5,3,1,6,4,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,3,4,1,6,2] => [3,1,7,5,4,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,3,4,2,1,6] => [3,1,6,5,4,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,3,4,2,6,1] => [3,1,5,4,7,6,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,3,4,6,1,2] => [3,1,6,4,7,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,3,4,6,2,1] => [3,1,4,7,6,5,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,3,6,1,2,4] => [5,3,1,6,7,4,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,3,6,1,4,2] => [3,1,7,5,6,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,3,6,2,1,4] => [3,1,6,5,7,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,3,6,2,4,1] => [3,1,5,7,6,4,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,3,6,4,1,2] => [3,1,6,7,5,4,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,3,6,4,2,1] => [1,7,3,6,5,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,4,1,2,3,6] => [4,5,1,6,3,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[5,7,4,1,2,6,3] => [7,4,1,5,3,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,4,1,3,2,6] => [6,4,1,5,3,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,4,1,3,6,2] => [5,1,7,4,3,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,4,1,6,2,3] => [6,1,7,4,3,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,4,1,6,3,2] => [1,7,6,4,3,5,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,7,4,2,1,3,6] => [5,4,1,6,3,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[5,7,4,2,1,6,3] => [4,1,7,5,3,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,4,2,3,1,6] => [4,1,6,5,3,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,4,2,3,6,1] => [4,1,5,3,7,6,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,4,2,6,1,3] => [4,1,6,3,7,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,4,2,6,3,1] => [1,7,4,3,6,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,4,3,1,2,6] => [5,1,6,4,3,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[5,7,4,3,1,6,2] => [1,7,5,4,3,6,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,7,4,3,2,1,6] => [1,6,5,4,3,7,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[5,7,4,3,2,6,1] => [1,5,4,3,7,6,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,4,3,6,1,2] => [1,6,4,3,7,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,4,3,6,2,1] => [1,4,3,7,6,5,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,4,6,1,2,3] => [5,1,6,3,7,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,4,6,1,3,2] => [1,7,5,3,6,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,4,6,2,1,3] => [1,6,5,3,7,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,4,6,2,3,1] => [1,5,3,7,6,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,4,6,3,1,2] => [1,6,3,7,5,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,4,6,3,2,1] => [1,3,7,6,5,4,2] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[5,7,6,1,2,3,4] => [4,5,1,6,7,3,2] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[5,7,6,1,2,4,3] => [7,4,1,5,6,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,6,1,3,2,4] => [6,4,1,5,7,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,6,1,3,4,2] => [5,1,7,4,6,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,6,1,4,2,3] => [6,1,7,4,5,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,6,1,4,3,2] => [1,7,6,4,5,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,6,2,1,3,4] => [5,4,1,6,7,3,2] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[5,7,6,2,1,4,3] => [4,1,7,5,6,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,6,2,3,1,4] => [4,1,6,5,7,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,6,2,3,4,1] => [4,1,5,7,6,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,6,2,4,1,3] => [4,1,6,7,5,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,6,2,4,3,1] => [1,7,4,6,5,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,6,3,1,2,4] => [5,1,6,4,7,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[5,7,6,3,1,4,2] => [1,7,5,4,6,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,6,3,2,1,4] => [1,6,5,4,7,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[5,7,6,3,2,4,1] => [1,5,4,7,6,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,6,3,4,1,2] => [1,6,4,7,5,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,6,3,4,2,1] => [1,4,7,6,5,3,2] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[5,7,6,4,1,2,3] => [5,1,6,7,4,3,2] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[5,7,6,4,1,3,2] => [1,7,5,6,4,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,6,4,2,1,3] => [1,6,5,7,4,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[5,7,6,4,2,3,1] => [1,5,7,6,4,3,2] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[5,7,6,4,3,1,2] => [1,6,7,5,4,3,2] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[5,7,6,4,3,2,1] => [7,1,6,5,4,3,2] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,1,2,3,4,5,7] => [2,3,4,5,6,1,7] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 5
[6,1,2,3,4,7,5] => [7,2,3,4,5,1,6] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[6,1,2,3,5,4,7] => [6,2,3,4,5,1,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[6,1,2,3,5,7,4] => [5,7,2,3,4,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,2,3,7,4,5] => [6,7,2,3,4,1,5] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,2,3,7,5,4] => [7,6,2,3,4,1,5] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,2,4,3,5,7] => [5,2,3,4,6,1,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[6,1,2,4,3,7,5] => [4,7,2,3,5,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,2,4,5,3,7] => [4,6,2,3,5,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,2,4,5,7,3] => [4,5,7,2,3,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,2,4,7,3,5] => [4,6,7,2,3,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,2,4,7,5,3] => [7,4,6,2,3,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,2,5,3,4,7] => [5,6,2,3,4,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,2,5,3,7,4] => [7,5,2,3,4,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,2,5,4,3,7] => [6,5,2,3,4,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,2,5,4,7,3] => [5,4,7,2,3,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,2,5,7,3,4] => [6,4,7,2,3,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,2,5,7,4,3] => [4,7,6,2,3,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,2,7,3,4,5] => [5,6,7,2,3,1,4] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,2,7,3,5,4] => [7,5,6,2,3,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,2,7,4,3,5] => [6,5,7,2,3,1,4] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,2,7,4,5,3] => [5,7,6,2,3,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,2,7,5,3,4] => [6,7,5,2,3,1,4] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,2,7,5,4,3] => [7,6,5,2,3,1,4] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,1,3,2,4,5,7] => [4,2,3,5,6,1,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[6,1,3,2,4,7,5] => [3,7,2,4,5,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,3,2,5,4,7] => [3,6,2,4,5,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,3,2,5,7,4] => [3,5,7,2,4,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,3,2,7,4,5] => [3,6,7,2,4,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,3,2,7,5,4] => [7,3,6,2,4,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,3,4,2,5,7] => [3,5,2,4,6,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,3,4,2,7,5] => [3,4,7,2,5,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,3,4,5,2,7] => [3,4,6,2,5,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,3,4,5,7,2] => [3,4,5,7,2,1,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,1,3,4,7,2,5] => [3,4,6,7,2,1,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,1,3,4,7,5,2] => [7,3,4,6,2,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,3,5,2,4,7] => [3,5,6,2,4,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,3,5,2,7,4] => [7,3,5,2,4,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,3,5,4,2,7] => [6,3,5,2,4,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,3,5,4,7,2] => [5,3,4,7,2,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,3,5,7,2,4] => [6,3,4,7,2,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,3,5,7,4,2] => [4,7,3,6,2,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,3,7,2,4,5] => [3,5,6,7,2,1,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,1,3,7,2,5,4] => [7,3,5,6,2,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,3,7,4,2,5] => [6,3,5,7,2,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,3,7,4,5,2] => [5,7,3,6,2,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,3,7,5,2,4] => [6,7,3,5,2,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,3,7,5,4,2] => [7,6,3,5,2,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,4,2,3,5,7] => [4,5,2,3,6,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,1,4,2,3,7,5] => [7,4,2,3,5,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,4,2,5,3,7] => [6,4,2,3,5,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,4,2,5,7,3] => [5,3,7,2,4,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,4,2,7,3,5] => [6,3,7,2,4,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,4,2,7,5,3] => [3,7,6,2,4,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,4,3,2,5,7] => [5,4,2,3,6,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,1,4,3,2,7,5] => [4,3,7,2,5,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,4,3,5,2,7] => [4,3,6,2,5,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,4,3,5,7,2] => [4,3,5,7,2,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,4,3,7,2,5] => [4,3,6,7,2,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,4,3,7,5,2] => [3,7,4,6,2,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,4,5,2,3,7] => [5,3,6,2,4,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,4,5,2,7,3] => [3,7,5,2,4,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,4,5,3,2,7] => [3,6,5,2,4,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,4,5,3,7,2] => [3,5,4,7,2,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,4,5,7,2,3] => [3,6,4,7,2,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,4,5,7,3,2] => [3,4,7,6,2,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,4,7,2,3,5] => [5,3,6,7,2,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,4,7,2,5,3] => [3,7,5,6,2,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,4,7,3,2,5] => [3,6,5,7,2,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,4,7,3,5,2] => [3,5,7,6,2,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,4,7,5,2,3] => [3,6,7,5,2,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,4,7,5,3,2] => [7,3,6,5,2,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,5,2,3,4,7] => [4,5,6,2,3,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,1,5,2,3,7,4] => [7,4,5,2,3,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,5,2,4,3,7] => [6,4,5,2,3,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,5,2,4,7,3] => [5,7,4,2,3,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,5,2,7,3,4] => [6,7,4,2,3,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,5,2,7,4,3] => [7,6,4,2,3,1,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,3,2,4,7] => [5,4,6,2,3,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,1,5,3,2,7,4] => [4,7,5,2,3,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,5,3,4,2,7] => [4,6,5,2,3,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,5,3,4,7,2] => [4,5,3,7,2,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,5,3,7,2,4] => [4,6,3,7,2,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,5,3,7,4,2] => [7,4,3,6,2,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,5,4,2,3,7] => [5,6,4,2,3,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,1,5,4,2,7,3] => [7,5,4,2,3,1,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,4,3,2,7] => [6,5,4,2,3,1,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,4,3,7,2] => [5,4,3,7,2,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,5,4,7,2,3] => [6,4,3,7,2,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,5,4,7,3,2] => [4,3,7,6,2,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,5,7,2,3,4] => [5,6,3,7,2,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,5,7,2,4,3] => [7,5,3,6,2,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,5,7,3,2,4] => [6,5,3,7,2,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,5,7,3,4,2] => [5,3,7,6,2,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,5,7,4,2,3] => [6,3,7,5,2,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,5,7,4,3,2] => [3,7,6,5,2,1,4] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,1,7,2,3,4,5] => [4,5,6,7,2,1,3] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,1,7,2,3,5,4] => [7,4,5,6,2,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,7,2,4,3,5] => [6,4,5,7,2,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,7,2,4,5,3] => [5,7,4,6,2,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,7,2,5,3,4] => [6,7,4,5,2,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,7,2,5,4,3] => [7,6,4,5,2,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,7,3,2,4,5] => [5,4,6,7,2,1,3] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,1,7,3,2,5,4] => [4,7,5,6,2,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,7,3,4,2,5] => [4,6,5,7,2,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,7,3,4,5,2] => [4,5,7,6,2,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,7,3,5,2,4] => [4,6,7,5,2,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,7,3,5,4,2] => [7,4,6,5,2,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,7,4,2,3,5] => [5,6,4,7,2,1,3] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,1,7,4,2,5,3] => [7,5,4,6,2,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,7,4,3,2,5] => [6,5,4,7,2,1,3] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,1,7,4,3,5,2] => [5,4,7,6,2,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,7,4,5,2,3] => [6,4,7,5,2,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,7,4,5,3,2] => [4,7,6,5,2,1,3] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,1,7,5,2,3,4] => [5,6,7,4,2,1,3] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,1,7,5,2,4,3] => [7,5,6,4,2,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,7,5,3,2,4] => [6,5,7,4,2,1,3] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,1,7,5,3,4,2] => [5,7,6,4,2,1,3] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,1,7,5,4,2,3] => [6,7,5,4,2,1,3] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,1,7,5,4,3,2] => [7,6,5,4,2,1,3] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[6,2,1,3,4,5,7] => [3,2,4,5,6,1,7] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
[6,2,1,3,4,7,5] => [2,7,3,4,5,1,6] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,2,1,3,5,4,7] => [2,6,3,4,5,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,2,1,3,5,7,4] => [2,5,7,3,4,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,1,3,7,4,5] => [2,6,7,3,4,1,5] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,1,3,7,5,4] => [7,2,6,3,4,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,1,4,3,5,7] => [2,5,3,4,6,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,2,1,4,3,7,5] => [2,4,7,3,5,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,1,4,5,3,7] => [2,4,6,3,5,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,1,4,5,7,3] => [2,4,5,7,3,1,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,1,4,7,3,5] => [2,4,6,7,3,1,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,1,4,7,5,3] => [7,2,4,6,3,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,1,5,3,4,7] => [2,5,6,3,4,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,1,5,3,7,4] => [7,2,5,3,4,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,1,5,4,3,7] => [6,2,5,3,4,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,1,5,4,7,3] => [5,2,4,7,3,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,1,5,7,3,4] => [6,2,4,7,3,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,1,5,7,4,3] => [4,7,2,6,3,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,1,7,3,4,5] => [2,5,6,7,3,1,4] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,1,7,3,5,4] => [7,2,5,6,3,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,1,7,4,3,5] => [6,2,5,7,3,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,1,7,4,5,3] => [5,7,2,6,3,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,1,7,5,3,4] => [6,7,2,5,3,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,1,7,5,4,3] => [7,6,2,5,3,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,2,3,1,4,5,7] => [2,4,3,5,6,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,2,3,1,4,7,5] => [2,3,7,4,5,1,6] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,3,1,5,4,7] => [2,3,6,4,5,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,3,1,5,7,4] => [2,3,5,7,4,1,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,3,1,7,4,5] => [2,3,6,7,4,1,5] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,3,1,7,5,4] => [7,2,3,6,4,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,3,4,1,5,7] => [2,3,5,4,6,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,3,4,1,7,5] => [2,3,4,7,5,1,6] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,3,4,5,1,7] => [2,3,4,6,5,1,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,3,4,5,7,1] => [2,3,4,5,1,7,6] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[6,2,3,4,7,1,5] => [2,3,4,6,1,7,5] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[6,2,3,4,7,5,1] => [7,2,3,4,1,6,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,3,5,1,4,7] => [2,3,5,6,4,1,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,3,5,1,7,4] => [7,2,3,5,4,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,3,5,4,1,7] => [6,2,3,5,4,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,3,5,4,7,1] => [5,2,3,4,1,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,3,5,7,1,4] => [6,2,3,4,1,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,3,5,7,4,1] => [4,7,2,3,1,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,3,7,1,4,5] => [2,3,5,6,1,7,4] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[6,2,3,7,1,5,4] => [7,2,3,5,1,6,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,3,7,4,1,5] => [6,2,3,5,1,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,3,7,4,5,1] => [5,7,2,3,1,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,3,7,5,1,4] => [6,7,2,3,1,5,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,3,7,5,4,1] => [7,6,2,3,1,5,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,4,1,3,5,7] => [2,4,5,3,6,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,2,4,1,3,7,5] => [7,2,4,3,5,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,4,1,5,3,7] => [6,2,4,3,5,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,4,1,5,7,3] => [5,2,3,7,4,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,4,1,7,3,5] => [6,2,3,7,4,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,4,1,7,5,3] => [3,7,2,6,4,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,4,3,1,5,7] => [5,2,4,3,6,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,2,4,3,1,7,5] => [4,2,3,7,5,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,4,3,5,1,7] => [4,2,3,6,5,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,4,3,5,7,1] => [4,2,3,5,1,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,4,3,7,1,5] => [4,2,3,6,1,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,4,3,7,5,1] => [3,7,2,4,1,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,4,5,1,3,7] => [5,2,3,6,4,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,4,5,1,7,3] => [3,7,2,5,4,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,4,5,3,1,7] => [3,6,2,5,4,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,4,5,3,7,1] => [3,5,2,4,1,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,4,5,7,1,3] => [3,6,2,4,1,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,4,5,7,3,1] => [3,4,7,2,1,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,4,7,1,3,5] => [5,2,3,6,1,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,4,7,1,5,3] => [3,7,2,5,1,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,4,7,3,1,5] => [3,6,2,5,1,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,4,7,3,5,1] => [3,5,7,2,1,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,4,7,5,1,3] => [3,6,7,2,1,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,4,7,5,3,1] => [7,3,6,2,1,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,5,1,3,4,7] => [2,4,5,6,3,1,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,2,5,1,3,7,4] => [7,2,4,5,3,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,5,1,4,3,7] => [6,2,4,5,3,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,5,1,4,7,3] => [5,7,2,4,3,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,5,1,7,3,4] => [6,7,2,4,3,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,5,1,7,4,3] => [7,6,2,4,3,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,2,5,3,1,4,7] => [5,2,4,6,3,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,2,5,3,1,7,4] => [4,7,2,5,3,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,5,3,4,1,7] => [4,6,2,5,3,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,5,3,4,7,1] => [4,5,2,3,1,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,5,3,7,1,4] => [4,6,2,3,1,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,5,3,7,4,1] => [7,4,2,3,1,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,5,4,1,3,7] => [5,6,2,4,3,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,2,5,4,1,7,3] => [7,5,2,4,3,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,2,5,4,3,1,7] => [6,5,2,4,3,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,2,5,4,3,7,1] => [5,4,2,3,1,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,5,4,7,1,3] => [6,4,2,3,1,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,5,4,7,3,1] => [4,3,7,2,1,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,5,7,1,3,4] => [5,6,2,3,1,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,5,7,1,4,3] => [7,5,2,3,1,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,5,7,3,1,4] => [6,5,2,3,1,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,5,7,3,4,1] => [5,3,7,2,1,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,5,7,4,1,3] => [6,3,7,2,1,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,5,7,4,3,1] => [3,7,6,2,1,5,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,2,7,1,3,4,5] => [2,4,5,6,1,7,3] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[6,2,7,1,3,5,4] => [7,2,4,5,1,6,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,7,1,4,3,5] => [6,2,4,5,1,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,7,1,4,5,3] => [5,7,2,4,1,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,7,1,5,3,4] => [6,7,2,4,1,5,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,7,1,5,4,3] => [7,6,2,4,1,5,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,7,3,1,4,5] => [5,2,4,6,1,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,2,7,3,1,5,4] => [4,7,2,5,1,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,7,3,4,1,5] => [4,6,2,5,1,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,7,3,4,5,1] => [4,5,7,2,1,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,7,3,5,1,4] => [4,6,7,2,1,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,7,3,5,4,1] => [7,4,6,2,1,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,7,4,1,3,5] => [5,6,2,4,1,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,2,7,4,1,5,3] => [7,5,2,4,1,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,7,4,3,1,5] => [6,5,2,4,1,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,2,7,4,3,5,1] => [5,4,7,2,1,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,7,4,5,1,3] => [6,4,7,2,1,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,7,4,5,3,1] => [4,7,6,2,1,5,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,2,7,5,1,3,4] => [5,6,7,2,1,4,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,2,7,5,1,4,3] => [7,5,6,2,1,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,7,5,3,1,4] => [6,5,7,2,1,4,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,2,7,5,3,4,1] => [5,7,6,2,1,4,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,2,7,5,4,1,3] => [6,7,5,2,1,4,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,2,7,5,4,3,1] => [7,6,5,2,1,4,3] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,3,1,2,4,5,7] => [3,4,2,5,6,1,7] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 7
[6,3,1,2,4,7,5] => [7,3,2,4,5,1,6] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,3,1,2,5,4,7] => [6,3,2,4,5,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,3,1,2,5,7,4] => [5,2,7,3,4,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,1,2,7,4,5] => [6,2,7,3,4,1,5] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,1,2,7,5,4] => [2,7,6,3,4,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,1,4,2,5,7] => [5,3,2,4,6,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,3,1,4,2,7,5] => [4,2,7,3,5,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,1,4,5,2,7] => [4,2,6,3,5,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,1,4,5,7,2] => [4,2,5,7,3,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,1,4,7,2,5] => [4,2,6,7,3,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,1,4,7,5,2] => [2,7,4,6,3,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,1,5,2,4,7] => [5,2,6,3,4,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,1,5,2,7,4] => [2,7,5,3,4,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,1,5,4,2,7] => [2,6,5,3,4,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,1,5,4,7,2] => [2,5,4,7,3,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,1,5,7,2,4] => [2,6,4,7,3,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,1,5,7,4,2] => [2,4,7,6,3,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,1,7,2,4,5] => [5,2,6,7,3,1,4] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,1,7,2,5,4] => [2,7,5,6,3,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,1,7,4,2,5] => [2,6,5,7,3,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,1,7,4,5,2] => [2,5,7,6,3,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,1,7,5,2,4] => [2,6,7,5,3,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,1,7,5,4,2] => [7,2,6,5,3,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,3,2,1,4,5,7] => [4,3,2,5,6,1,7] => [1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 8
[6,3,2,1,4,7,5] => [3,2,7,4,5,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,2,1,5,4,7] => [3,2,6,4,5,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,2,1,5,7,4] => [3,2,5,7,4,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,2,1,7,4,5] => [3,2,6,7,4,1,5] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,2,1,7,5,4] => [2,7,3,6,4,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,2,4,1,5,7] => [3,2,5,4,6,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,2,4,1,7,5] => [3,2,4,7,5,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,2,4,5,1,7] => [3,2,4,6,5,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,2,4,5,7,1] => [3,2,4,5,1,7,6] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,3,2,4,7,1,5] => [3,2,4,6,1,7,5] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,3,2,4,7,5,1] => [2,7,3,4,1,6,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,2,5,1,4,7] => [3,2,5,6,4,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,2,5,1,7,4] => [2,7,3,5,4,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,2,5,4,1,7] => [2,6,3,5,4,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,2,5,4,7,1] => [2,5,3,4,1,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,2,5,7,1,4] => [2,6,3,4,1,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,2,5,7,4,1] => [2,4,7,3,1,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,2,7,1,4,5] => [3,2,5,6,1,7,4] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,3,2,7,1,5,4] => [2,7,3,5,1,6,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,2,7,4,1,5] => [2,6,3,5,1,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,2,7,4,5,1] => [2,5,7,3,1,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,2,7,5,1,4] => [2,6,7,3,1,5,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,2,7,5,4,1] => [7,2,6,3,1,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,4,1,2,5,7] => [4,2,5,3,6,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,3,4,1,2,7,5] => [2,7,4,3,5,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,4,1,5,2,7] => [2,6,4,3,5,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,4,1,5,7,2] => [2,5,3,7,4,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,4,1,7,2,5] => [2,6,3,7,4,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,4,1,7,5,2] => [2,3,7,6,4,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,4,2,1,5,7] => [2,5,4,3,6,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,3,4,2,1,7,5] => [2,4,3,7,5,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,4,2,5,1,7] => [2,4,3,6,5,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,4,2,5,7,1] => [2,4,3,5,1,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,4,2,7,1,5] => [2,4,3,6,1,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,4,2,7,5,1] => [2,3,7,4,1,6,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,4,5,1,2,7] => [2,5,3,6,4,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,4,5,1,7,2] => [2,3,7,5,4,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,4,5,2,1,7] => [2,3,6,5,4,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,4,5,2,7,1] => [2,3,5,4,1,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,4,5,7,1,2] => [2,3,6,4,1,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,4,5,7,2,1] => [2,3,4,1,7,6,5] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,4,7,1,2,5] => [2,5,3,6,1,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,4,7,1,5,2] => [2,3,7,5,1,6,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,4,7,2,1,5] => [2,3,6,5,1,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,4,7,2,5,1] => [2,3,5,1,7,6,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,4,7,5,1,2] => [2,3,6,1,7,5,4] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,4,7,5,2,1] => [7,2,3,1,6,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,5,1,2,4,7] => [4,2,5,6,3,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,3,5,1,2,7,4] => [2,7,4,5,3,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,5,1,4,2,7] => [2,6,4,5,3,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,5,1,4,7,2] => [2,5,7,4,3,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,5,1,7,2,4] => [2,6,7,4,3,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,5,1,7,4,2] => [7,2,6,4,3,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,3,5,2,1,4,7] => [2,5,4,6,3,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,3,5,2,1,7,4] => [2,4,7,5,3,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,5,2,4,1,7] => [2,4,6,5,3,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,5,2,4,7,1] => [2,4,5,3,1,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,5,2,7,1,4] => [2,4,6,3,1,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,5,2,7,4,1] => [7,2,4,3,1,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,5,4,1,2,7] => [2,5,6,4,3,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,3,5,4,1,7,2] => [7,2,5,4,3,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,3,5,4,2,1,7] => [6,2,5,4,3,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,3,5,4,2,7,1] => [5,2,4,3,1,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,5,4,7,1,2] => [6,2,4,3,1,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,5,4,7,2,1] => [4,2,3,1,7,6,5] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,5,7,1,2,4] => [2,5,6,3,1,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,5,7,1,4,2] => [7,2,5,3,1,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,5,7,2,1,4] => [6,2,5,3,1,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,5,7,2,4,1] => [5,2,3,1,7,6,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,5,7,4,1,2] => [6,2,3,1,7,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,5,7,4,2,1] => [3,7,2,1,6,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,3,7,1,2,4,5] => [4,2,5,6,1,7,3] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,3,7,1,2,5,4] => [2,7,4,5,1,6,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,7,1,4,2,5] => [2,6,4,5,1,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,7,1,4,5,2] => [2,5,7,4,1,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,7,1,5,2,4] => [2,6,7,4,1,5,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,7,1,5,4,2] => [7,2,6,4,1,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,7,2,1,4,5] => [2,5,4,6,1,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,3,7,2,1,5,4] => [2,4,7,5,1,6,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,7,2,4,1,5] => [2,4,6,5,1,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,7,2,4,5,1] => [2,4,5,1,7,6,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,7,2,5,1,4] => [2,4,6,1,7,5,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,7,2,5,4,1] => [7,2,4,1,6,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,7,4,1,2,5] => [2,5,6,4,1,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,3,7,4,1,5,2] => [7,2,5,4,1,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,7,4,2,1,5] => [6,2,5,4,1,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,3,7,4,2,5,1] => [5,2,4,1,7,6,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,7,4,5,1,2] => [6,2,4,1,7,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,7,4,5,2,1] => [4,7,2,1,6,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,3,7,5,1,2,4] => [2,5,6,1,7,4,3] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,3,7,5,1,4,2] => [7,2,5,1,6,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,7,5,2,1,4] => [6,2,5,1,7,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,3,7,5,2,4,1] => [5,7,2,1,6,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,3,7,5,4,1,2] => [6,7,2,1,5,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,3,7,5,4,2,1] => [7,6,2,1,5,4,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,4,1,2,3,5,7] => [3,4,5,2,6,1,7] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 8
[6,4,1,2,3,7,5] => [7,3,4,2,5,1,6] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,4,1,2,5,3,7] => [6,3,4,2,5,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,4,1,2,5,7,3] => [5,7,3,2,4,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,1,2,7,3,5] => [6,7,3,2,4,1,5] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,1,2,7,5,3] => [7,6,3,2,4,1,5] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,3,2,5,7] => [5,3,4,2,6,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,4,1,3,2,7,5] => [4,7,3,2,5,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,1,3,5,2,7] => [4,6,3,2,5,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,1,3,5,7,2] => [4,5,2,7,3,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,1,3,7,2,5] => [4,6,2,7,3,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,1,3,7,5,2] => [7,4,2,6,3,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,1,5,2,3,7] => [5,6,3,2,4,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,1,5,2,7,3] => [7,5,3,2,4,1,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,5,3,2,7] => [6,5,3,2,4,1,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,5,3,7,2] => [5,4,2,7,3,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,1,5,7,2,3] => [6,4,2,7,3,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,1,5,7,3,2] => [4,2,7,6,3,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,1,7,2,3,5] => [5,6,2,7,3,1,4] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,1,7,2,5,3] => [7,5,2,6,3,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,1,7,3,2,5] => [6,5,2,7,3,1,4] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,1,7,3,5,2] => [5,2,7,6,3,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,1,7,5,2,3] => [6,2,7,5,3,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,1,7,5,3,2] => [2,7,6,5,3,1,4] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,4,2,1,3,5,7] => [4,3,5,2,6,1,7] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 9
[6,4,2,1,3,7,5] => [3,7,4,2,5,1,6] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,2,1,5,3,7] => [3,6,4,2,5,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,2,1,5,7,3] => [3,5,2,7,4,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,2,1,7,3,5] => [3,6,2,7,4,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,2,1,7,5,3] => [7,3,2,6,4,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,2,3,1,5,7] => [3,5,4,2,6,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,2,3,1,7,5] => [3,4,2,7,5,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,2,3,5,1,7] => [3,4,2,6,5,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,2,3,5,7,1] => [3,4,2,5,1,7,6] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,4,2,3,7,1,5] => [3,4,2,6,1,7,5] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,4,2,3,7,5,1] => [7,3,2,4,1,6,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,2,5,1,3,7] => [3,5,2,6,4,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,2,5,1,7,3] => [7,3,2,5,4,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,2,5,3,1,7] => [6,3,2,5,4,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,2,5,3,7,1] => [5,3,2,4,1,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,2,5,7,1,3] => [6,3,2,4,1,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,2,5,7,3,1] => [4,2,7,3,1,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,2,7,1,3,5] => [3,5,2,6,1,7,4] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,4,2,7,1,5,3] => [7,3,2,5,1,6,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,2,7,3,1,5] => [6,3,2,5,1,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,2,7,3,5,1] => [5,2,7,3,1,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,2,7,5,1,3] => [6,2,7,3,1,5,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,2,7,5,3,1] => [2,7,6,3,1,5,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,3,1,2,5,7] => [4,5,3,2,6,1,7] => [2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 10
[6,4,3,1,2,7,5] => [7,4,3,2,5,1,6] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,3,1,5,2,7] => [6,4,3,2,5,1,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,3,1,5,7,2] => [5,3,2,7,4,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,3,1,7,2,5] => [6,3,2,7,4,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,3,1,7,5,2] => [3,2,7,6,4,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,3,2,1,5,7] => [5,4,3,2,6,1,7] => [1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 11
[6,4,3,2,1,7,5] => [4,3,2,7,5,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,3,2,5,1,7] => [4,3,2,6,5,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,3,2,5,7,1] => [4,3,2,5,1,7,6] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,3,2,7,1,5] => [4,3,2,6,1,7,5] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,3,2,7,5,1] => [3,2,7,4,1,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,3,5,1,2,7] => [5,3,2,6,4,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,3,5,1,7,2] => [3,2,7,5,4,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,3,5,2,1,7] => [3,2,6,5,4,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,3,5,2,7,1] => [3,2,5,4,1,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,3,5,7,1,2] => [3,2,6,4,1,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,3,5,7,2,1] => [3,2,4,1,7,6,5] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,3,7,1,2,5] => [5,3,2,6,1,7,4] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,3,7,1,5,2] => [3,2,7,5,1,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,3,7,2,1,5] => [3,2,6,5,1,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,3,7,2,5,1] => [3,2,5,1,7,6,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,3,7,5,1,2] => [3,2,6,1,7,5,4] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,3,7,5,2,1] => [2,7,3,1,6,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,5,1,2,3,7] => [4,5,2,6,3,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,4,5,1,2,7,3] => [7,4,2,5,3,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,5,1,3,2,7] => [6,4,2,5,3,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,5,1,3,7,2] => [5,2,7,4,3,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,5,1,7,2,3] => [6,2,7,4,3,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,5,1,7,3,2] => [2,7,6,4,3,1,5] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,4,5,2,1,3,7] => [5,4,2,6,3,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,4,5,2,1,7,3] => [4,2,7,5,3,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,5,2,3,1,7] => [4,2,6,5,3,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,5,2,3,7,1] => [4,2,5,3,1,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,5,2,7,1,3] => [4,2,6,3,1,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,5,2,7,3,1] => [2,7,4,3,1,6,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,5,3,1,2,7] => [5,2,6,4,3,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,4,5,3,1,7,2] => [2,7,5,4,3,1,6] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,4,5,3,2,1,7] => [2,6,5,4,3,1,7] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,4,5,3,2,7,1] => [2,5,4,3,1,7,6] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,5,3,7,1,2] => [2,6,4,3,1,7,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,5,3,7,2,1] => [2,4,3,1,7,6,5] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,5,7,1,2,3] => [5,2,6,3,1,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,5,7,1,3,2] => [2,7,5,3,1,6,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,5,7,2,1,3] => [2,6,5,3,1,7,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,5,7,2,3,1] => [2,5,3,1,7,6,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,5,7,3,1,2] => [2,6,3,1,7,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,5,7,3,2,1] => [2,3,1,7,6,5,4] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,4,7,1,2,3,5] => [4,5,2,6,1,7,3] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,4,7,1,2,5,3] => [7,4,2,5,1,6,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,7,1,3,2,5] => [6,4,2,5,1,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,7,1,3,5,2] => [5,2,7,4,1,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,7,1,5,2,3] => [6,2,7,4,1,5,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,7,1,5,3,2] => [2,7,6,4,1,5,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,7,2,1,3,5] => [5,4,2,6,1,7,3] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,4,7,2,1,5,3] => [4,2,7,5,1,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,7,2,3,1,5] => [4,2,6,5,1,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,7,2,3,5,1] => [4,2,5,1,7,6,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,7,2,5,1,3] => [4,2,6,1,7,5,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,7,2,5,3,1] => [2,7,4,1,6,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,7,3,1,2,5] => [5,2,6,4,1,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,4,7,3,1,5,2] => [2,7,5,4,1,6,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,7,3,2,1,5] => [2,6,5,4,1,7,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,4,7,3,2,5,1] => [2,5,4,1,7,6,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,7,3,5,1,2] => [2,6,4,1,7,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,7,3,5,2,1] => [2,4,1,7,6,5,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,4,7,5,1,2,3] => [5,2,6,1,7,4,3] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,4,7,5,1,3,2] => [2,7,5,1,6,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,7,5,2,1,3] => [2,6,5,1,7,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,4,7,5,2,3,1] => [2,5,1,7,6,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,4,7,5,3,1,2] => [2,6,1,7,5,4,3] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,4,7,5,3,2,1] => [7,2,1,6,5,4,3] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,5,1,2,3,4,7] => [3,4,5,6,2,1,7] => [4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 9
[6,5,1,2,3,7,4] => [7,3,4,5,2,1,6] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,5,1,2,4,3,7] => [6,3,4,5,2,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,5,1,2,4,7,3] => [5,7,3,4,2,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,1,2,7,3,4] => [6,7,3,4,2,1,5] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,1,2,7,4,3] => [7,6,3,4,2,1,5] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,1,3,2,4,7] => [5,3,4,6,2,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,5,1,3,2,7,4] => [4,7,3,5,2,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,1,3,4,2,7] => [4,6,3,5,2,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,1,3,4,7,2] => [4,5,7,3,2,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,1,3,7,2,4] => [4,6,7,3,2,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,1,3,7,4,2] => [7,4,6,3,2,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,1,4,2,3,7] => [5,6,3,4,2,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,1,4,2,7,3] => [7,5,3,4,2,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,1,4,3,2,7] => [6,5,3,4,2,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,1,4,3,7,2] => [5,4,7,3,2,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,1,4,7,2,3] => [6,4,7,3,2,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,1,4,7,3,2] => [4,7,6,3,2,1,5] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,1,7,2,3,4] => [5,6,7,3,2,1,4] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,1,7,2,4,3] => [7,5,6,3,2,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,1,7,3,2,4] => [6,5,7,3,2,1,4] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,1,7,3,4,2] => [5,7,6,3,2,1,4] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,1,7,4,2,3] => [6,7,5,3,2,1,4] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,1,7,4,3,2] => [7,6,5,3,2,1,4] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[6,5,2,1,3,4,7] => [4,3,5,6,2,1,7] => [1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10
[6,5,2,1,3,7,4] => [3,7,4,5,2,1,6] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,2,1,4,3,7] => [3,6,4,5,2,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,2,1,4,7,3] => [3,5,7,4,2,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,2,1,7,3,4] => [3,6,7,4,2,1,5] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,2,1,7,4,3] => [7,3,6,4,2,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,2,3,1,4,7] => [3,5,4,6,2,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,2,3,1,7,4] => [3,4,7,5,2,1,6] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,2,3,4,1,7] => [3,4,6,5,2,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,2,3,4,7,1] => [3,4,5,2,1,7,6] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,5,2,3,7,1,4] => [3,4,6,2,1,7,5] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,5,2,3,7,4,1] => [7,3,4,2,1,6,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,2,4,1,3,7] => [3,5,6,4,2,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,2,4,1,7,3] => [7,3,5,4,2,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,2,4,3,1,7] => [6,3,5,4,2,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,2,4,3,7,1] => [5,3,4,2,1,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,2,4,7,1,3] => [6,3,4,2,1,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,2,4,7,3,1] => [4,7,3,2,1,6,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,2,7,1,3,4] => [3,5,6,2,1,7,4] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,5,2,7,1,4,3] => [7,3,5,2,1,6,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,2,7,3,1,4] => [6,3,5,2,1,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,2,7,3,4,1] => [5,7,3,2,1,6,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,2,7,4,1,3] => [6,7,3,2,1,5,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,2,7,4,3,1] => [7,6,3,2,1,5,4] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,3,1,2,4,7] => [4,5,3,6,2,1,7] => [2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11
[6,5,3,1,2,7,4] => [7,4,3,5,2,1,6] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,3,1,4,2,7] => [6,4,3,5,2,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,3,1,4,7,2] => [5,3,7,4,2,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,3,1,7,2,4] => [6,3,7,4,2,1,5] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,3,1,7,4,2] => [3,7,6,4,2,1,5] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,3,2,1,4,7] => [5,4,3,6,2,1,7] => [1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 12
[6,5,3,2,1,7,4] => [4,3,7,5,2,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,3,2,4,1,7] => [4,3,6,5,2,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,3,2,4,7,1] => [4,3,5,2,1,7,6] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,3,2,7,1,4] => [4,3,6,2,1,7,5] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,3,2,7,4,1] => [3,7,4,2,1,6,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,3,4,1,2,7] => [5,3,6,4,2,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,3,4,1,7,2] => [3,7,5,4,2,1,6] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,3,4,2,7,1] => [3,5,4,2,1,7,6] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,3,4,7,1,2] => [3,6,4,2,1,7,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,3,4,7,2,1] => [3,4,2,1,7,6,5] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,3,7,1,2,4] => [5,3,6,2,1,7,4] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,3,7,1,4,2] => [3,7,5,2,1,6,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,3,7,2,1,4] => [3,6,5,2,1,7,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,3,7,2,4,1] => [3,5,2,1,7,6,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,3,7,4,1,2] => [3,6,2,1,7,5,4] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,3,7,4,2,1] => [7,3,2,1,6,5,4] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,4,1,2,3,7] => [4,5,6,3,2,1,7] => [3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 12
[6,5,4,1,2,7,3] => [7,4,5,3,2,1,6] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,4,1,3,2,7] => [6,4,5,3,2,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,4,1,3,7,2] => [5,7,4,3,2,1,6] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,4,1,7,2,3] => [6,7,4,3,2,1,5] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,4,1,7,3,2] => [7,6,4,3,2,1,5] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[6,5,4,2,1,3,7] => [5,4,6,3,2,1,7] => [1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 13
[6,5,4,2,1,7,3] => [4,7,5,3,2,1,6] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,4,2,3,1,7] => [4,6,5,3,2,1,7] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,4,2,3,7,1] => [4,5,3,2,1,7,6] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,4,2,7,1,3] => [4,6,3,2,1,7,5] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,4,2,7,3,1] => [7,4,3,2,1,6,5] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,4,3,1,2,7] => [5,6,4,3,2,1,7] => [2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 14
[6,5,4,3,1,7,2] => [7,5,4,3,2,1,6] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 15
[6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,4,3,7,1,2] => [6,4,3,2,1,7,5] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,4,3,7,2,1] => [4,3,2,1,7,6,5] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,4,7,1,2,3] => [5,6,3,2,1,7,4] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,4,7,1,3,2] => [7,5,3,2,1,6,4] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,4,7,2,1,3] => [6,5,3,2,1,7,4] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,4,7,2,3,1] => [5,3,2,1,7,6,4] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,4,7,3,1,2] => [6,3,2,1,7,5,4] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,4,7,3,2,1] => [3,2,1,7,6,5,4] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,5,7,1,2,3,4] => [4,5,6,2,1,7,3] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,5,7,1,2,4,3] => [7,4,5,2,1,6,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,7,1,3,2,4] => [6,4,5,2,1,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,7,1,3,4,2] => [5,7,4,2,1,6,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,7,1,4,2,3] => [6,7,4,2,1,5,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,7,1,4,3,2] => [7,6,4,2,1,5,3] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,7,2,1,3,4] => [5,4,6,2,1,7,3] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,5,7,2,1,4,3] => [4,7,5,2,1,6,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,7,2,3,1,4] => [4,6,5,2,1,7,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,7,2,3,4,1] => [4,5,2,1,7,6,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,7,2,4,1,3] => [4,6,2,1,7,5,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,7,2,4,3,1] => [7,4,2,1,6,5,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,7,3,1,2,4] => [5,6,4,2,1,7,3] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,5,7,3,1,4,2] => [7,5,4,2,1,6,3] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,7,3,2,1,4] => [6,5,4,2,1,7,3] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,5,7,3,2,4,1] => [5,4,2,1,7,6,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,7,3,4,1,2] => [6,4,2,1,7,5,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,7,3,4,2,1] => [4,2,1,7,6,5,3] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,5,7,4,1,2,3] => [5,6,2,1,7,4,3] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,5,7,4,1,3,2] => [7,5,2,1,6,4,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,7,4,2,1,3] => [6,5,2,1,7,4,3] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,5,7,4,2,3,1] => [5,2,1,7,6,4,3] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,5,7,4,3,1,2] => [6,2,1,7,5,4,3] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,5,7,4,3,2,1] => [2,1,7,6,5,4,3] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,7,1,2,3,4,5] => [3,4,5,6,1,7,2] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[6,7,1,2,3,5,4] => [7,3,4,5,1,6,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,7,1,2,4,3,5] => [6,3,4,5,1,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,7,1,2,4,5,3] => [5,7,3,4,1,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,1,2,5,3,4] => [6,7,3,4,1,5,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,1,2,5,4,3] => [7,6,3,4,1,5,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,1,3,2,4,5] => [5,3,4,6,1,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,7,1,3,2,5,4] => [4,7,3,5,1,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,1,3,4,2,5] => [4,6,3,5,1,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,1,3,4,5,2] => [4,5,7,3,1,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,1,3,5,2,4] => [4,6,7,3,1,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,1,3,5,4,2] => [7,4,6,3,1,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,1,4,2,3,5] => [5,6,3,4,1,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,1,4,2,5,3] => [7,5,3,4,1,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,1,4,3,2,5] => [6,5,3,4,1,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,1,4,3,5,2] => [5,4,7,3,1,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,1,4,5,2,3] => [6,4,7,3,1,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,1,4,5,3,2] => [4,7,6,3,1,5,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,1,5,2,3,4] => [5,6,7,3,1,4,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,1,5,2,4,3] => [7,5,6,3,1,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,1,5,3,2,4] => [6,5,7,3,1,4,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,1,5,3,4,2] => [5,7,6,3,1,4,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,1,5,4,2,3] => [6,7,5,3,1,4,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,1,5,4,3,2] => [7,6,5,3,1,4,2] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,7,2,1,3,4,5] => [4,3,5,6,1,7,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[6,7,2,1,3,5,4] => [3,7,4,5,1,6,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,2,1,4,3,5] => [3,6,4,5,1,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,2,1,4,5,3] => [3,5,7,4,1,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,2,1,5,3,4] => [3,6,7,4,1,5,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,2,1,5,4,3] => [7,3,6,4,1,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,2,3,1,4,5] => [3,5,4,6,1,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,2,3,1,5,4] => [3,4,7,5,1,6,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,2,3,4,1,5] => [3,4,6,5,1,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,2,3,4,5,1] => [3,4,5,1,7,6,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,7,2,3,5,1,4] => [3,4,6,1,7,5,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,7,2,3,5,4,1] => [7,3,4,1,6,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,2,4,1,3,5] => [3,5,6,4,1,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,2,4,1,5,3] => [7,3,5,4,1,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,2,4,3,1,5] => [6,3,5,4,1,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,2,4,3,5,1] => [5,3,4,1,7,6,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,2,4,5,1,3] => [6,3,4,1,7,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,2,4,5,3,1] => [4,7,3,1,6,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,2,5,1,3,4] => [3,5,6,1,7,4,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,7,2,5,1,4,3] => [7,3,5,1,6,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,2,5,3,1,4] => [6,3,5,1,7,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,2,5,3,4,1] => [5,7,3,1,6,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,2,5,4,1,3] => [6,7,3,1,5,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,2,5,4,3,1] => [7,6,3,1,5,4,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,3,1,2,4,5] => [4,5,3,6,1,7,2] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[6,7,3,1,2,5,4] => [7,4,3,5,1,6,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,3,1,4,2,5] => [6,4,3,5,1,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,3,1,4,5,2] => [5,3,7,4,1,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,3,1,5,2,4] => [6,3,7,4,1,5,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,3,1,5,4,2] => [3,7,6,4,1,5,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,3,2,1,4,5] => [5,4,3,6,1,7,2] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[6,7,3,2,1,5,4] => [4,3,7,5,1,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,3,2,4,1,5] => [4,3,6,5,1,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,3,2,4,5,1] => [4,3,5,1,7,6,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,3,2,5,1,4] => [4,3,6,1,7,5,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,3,2,5,4,1] => [3,7,4,1,6,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,3,4,1,2,5] => [5,3,6,4,1,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,3,4,1,5,2] => [3,7,5,4,1,6,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,3,4,2,1,5] => [3,6,5,4,1,7,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,3,4,2,5,1] => [3,5,4,1,7,6,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,3,4,5,1,2] => [3,6,4,1,7,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,3,4,5,2,1] => [3,4,1,7,6,5,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,3,5,1,2,4] => [5,3,6,1,7,4,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,3,5,1,4,2] => [3,7,5,1,6,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,3,5,2,1,4] => [3,6,5,1,7,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,3,5,2,4,1] => [3,5,1,7,6,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,3,5,4,1,2] => [3,6,1,7,5,4,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,3,5,4,2,1] => [7,3,1,6,5,4,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,4,1,2,3,5] => [4,5,6,3,1,7,2] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[6,7,4,1,2,5,3] => [7,4,5,3,1,6,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,4,1,3,2,5] => [6,4,5,3,1,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,4,1,3,5,2] => [5,7,4,3,1,6,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,4,1,5,2,3] => [6,7,4,3,1,5,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,4,1,5,3,2] => [7,6,4,3,1,5,2] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,7,4,2,1,3,5] => [5,4,6,3,1,7,2] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[6,7,4,2,1,5,3] => [4,7,5,3,1,6,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,4,2,3,1,5] => [4,6,5,3,1,7,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,4,2,3,5,1] => [4,5,3,1,7,6,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,4,2,5,1,3] => [4,6,3,1,7,5,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,4,2,5,3,1] => [7,4,3,1,6,5,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,4,3,1,2,5] => [5,6,4,3,1,7,2] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[6,7,4,3,1,5,2] => [7,5,4,3,1,6,2] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,7,4,3,2,1,5] => [6,5,4,3,1,7,2] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[6,7,4,3,2,5,1] => [5,4,3,1,7,6,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,4,3,5,1,2] => [6,4,3,1,7,5,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,4,3,5,2,1] => [4,3,1,7,6,5,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,4,5,1,2,3] => [5,6,3,1,7,4,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,4,5,1,3,2] => [7,5,3,1,6,4,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,4,5,2,1,3] => [6,5,3,1,7,4,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,4,5,2,3,1] => [5,3,1,7,6,4,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,4,5,3,1,2] => [6,3,1,7,5,4,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,4,5,3,2,1] => [3,1,7,6,5,4,2] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,7,5,1,2,3,4] => [4,5,6,1,7,3,2] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[6,7,5,1,2,4,3] => [7,4,5,1,6,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,5,1,3,2,4] => [6,4,5,1,7,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,5,1,3,4,2] => [5,7,4,1,6,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,5,1,4,2,3] => [6,7,4,1,5,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,5,1,4,3,2] => [7,6,4,1,5,3,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,5,2,1,3,4] => [5,4,6,1,7,3,2] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[6,7,5,2,1,4,3] => [4,7,5,1,6,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,5,2,3,1,4] => [4,6,5,1,7,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,5,2,3,4,1] => [4,5,1,7,6,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,5,2,4,1,3] => [4,6,1,7,5,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,5,2,4,3,1] => [7,4,1,6,5,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,5,3,1,2,4] => [5,6,4,1,7,3,2] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[6,7,5,3,1,4,2] => [7,5,4,1,6,3,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,5,3,2,1,4] => [6,5,4,1,7,3,2] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[6,7,5,3,2,4,1] => [5,4,1,7,6,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,5,3,4,1,2] => [6,4,1,7,5,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,5,3,4,2,1] => [4,1,7,6,5,3,2] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,7,5,4,1,2,3] => [5,6,1,7,4,3,2] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[6,7,5,4,1,3,2] => [7,5,1,6,4,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,5,4,2,1,3] => [6,5,1,7,4,3,2] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[6,7,5,4,2,3,1] => [5,1,7,6,4,3,2] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,7,5,4,3,1,2] => [6,1,7,5,4,3,2] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[6,7,5,4,3,2,1] => [1,7,6,5,4,3,2] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,1,2,3,4,5,6] => [2,3,4,5,6,7,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 6
[7,1,2,3,4,6,5] => [7,2,3,4,5,6,1] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[7,1,2,3,5,4,6] => [6,2,3,4,5,7,1] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[7,1,2,3,5,6,4] => [5,7,2,3,4,6,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,2,3,6,4,5] => [6,7,2,3,4,5,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,2,3,6,5,4] => [7,6,2,3,4,5,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,2,4,3,5,6] => [5,2,3,4,6,7,1] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[7,1,2,4,3,6,5] => [4,7,2,3,5,6,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,2,4,5,3,6] => [4,6,2,3,5,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,2,4,5,6,3] => [4,5,7,2,3,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,2,4,6,3,5] => [4,6,7,2,3,5,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,2,4,6,5,3] => [7,4,6,2,3,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,2,5,3,4,6] => [5,6,2,3,4,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,2,5,3,6,4] => [7,5,2,3,4,6,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,2,5,4,3,6] => [6,5,2,3,4,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,2,5,4,6,3] => [5,4,7,2,3,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,2,5,6,3,4] => [6,4,7,2,3,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,2,5,6,4,3] => [4,7,6,2,3,5,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,2,6,3,4,5] => [5,6,7,2,3,4,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,2,6,3,5,4] => [7,5,6,2,3,4,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,2,6,4,3,5] => [6,5,7,2,3,4,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,2,6,4,5,3] => [5,7,6,2,3,4,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,2,6,5,3,4] => [6,7,5,2,3,4,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,2,6,5,4,3] => [7,6,5,2,3,4,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,1,3,2,4,5,6] => [4,2,3,5,6,7,1] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[7,1,3,2,4,6,5] => [3,7,2,4,5,6,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,3,2,5,4,6] => [3,6,2,4,5,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,3,2,5,6,4] => [3,5,7,2,4,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,3,2,6,4,5] => [3,6,7,2,4,5,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,3,2,6,5,4] => [7,3,6,2,4,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,3,4,2,5,6] => [3,5,2,4,6,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,3,4,2,6,5] => [3,4,7,2,5,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,3,4,5,2,6] => [3,4,6,2,5,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,3,4,5,6,2] => [3,4,5,7,2,6,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,1,3,4,6,2,5] => [3,4,6,7,2,5,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,1,3,4,6,5,2] => [7,3,4,6,2,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,3,5,2,4,6] => [3,5,6,2,4,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,3,5,2,6,4] => [7,3,5,2,4,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,3,5,4,2,6] => [6,3,5,2,4,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,3,5,4,6,2] => [5,3,4,7,2,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,3,5,6,2,4] => [6,3,4,7,2,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,3,5,6,4,2] => [4,7,3,6,2,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,3,6,2,4,5] => [3,5,6,7,2,4,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,1,3,6,2,5,4] => [7,3,5,6,2,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,3,6,4,2,5] => [6,3,5,7,2,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,3,6,4,5,2] => [5,7,3,6,2,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,3,6,5,2,4] => [6,7,3,5,2,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,3,6,5,4,2] => [7,6,3,5,2,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,4,2,3,5,6] => [4,5,2,3,6,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,1,4,2,3,6,5] => [7,4,2,3,5,6,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,4,2,5,3,6] => [6,4,2,3,5,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,4,2,5,6,3] => [5,3,7,2,4,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,4,2,6,3,5] => [6,3,7,2,4,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,4,2,6,5,3] => [3,7,6,2,4,5,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,4,3,2,5,6] => [5,4,2,3,6,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,1,4,3,2,6,5] => [4,3,7,2,5,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,4,3,5,2,6] => [4,3,6,2,5,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,4,3,5,6,2] => [4,3,5,7,2,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,4,3,6,2,5] => [4,3,6,7,2,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,4,3,6,5,2] => [3,7,4,6,2,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,4,5,2,3,6] => [5,3,6,2,4,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,4,5,2,6,3] => [3,7,5,2,4,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,4,5,3,2,6] => [3,6,5,2,4,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,4,5,3,6,2] => [3,5,4,7,2,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,4,5,6,2,3] => [3,6,4,7,2,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,4,5,6,3,2] => [3,4,7,6,2,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,4,6,2,3,5] => [5,3,6,7,2,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,4,6,2,5,3] => [3,7,5,6,2,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,4,6,3,2,5] => [3,6,5,7,2,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,4,6,3,5,2] => [3,5,7,6,2,4,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,4,6,5,2,3] => [3,6,7,5,2,4,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,4,6,5,3,2] => [7,3,6,5,2,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,5,2,3,4,6] => [4,5,6,2,3,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,1,5,2,3,6,4] => [7,4,5,2,3,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,5,2,4,3,6] => [6,4,5,2,3,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,5,2,4,6,3] => [5,7,4,2,3,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,5,2,6,3,4] => [6,7,4,2,3,5,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,5,2,6,4,3] => [7,6,4,2,3,5,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,1,5,3,2,4,6] => [5,4,6,2,3,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,1,5,3,2,6,4] => [4,7,5,2,3,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,5,3,4,2,6] => [4,6,5,2,3,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,5,3,4,6,2] => [4,5,3,7,2,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,5,3,6,2,4] => [4,6,3,7,2,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,5,3,6,4,2] => [7,4,3,6,2,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,5,4,2,3,6] => [5,6,4,2,3,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,1,5,4,2,6,3] => [7,5,4,2,3,6,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,1,5,4,3,2,6] => [6,5,4,2,3,7,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,1,5,4,3,6,2] => [5,4,3,7,2,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,5,4,6,2,3] => [6,4,3,7,2,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,5,4,6,3,2] => [4,3,7,6,2,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,5,6,2,3,4] => [5,6,3,7,2,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,5,6,2,4,3] => [7,5,3,6,2,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,5,6,3,2,4] => [6,5,3,7,2,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,5,6,3,4,2] => [5,3,7,6,2,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,5,6,4,2,3] => [6,3,7,5,2,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,5,6,4,3,2] => [3,7,6,5,2,4,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,1,6,2,3,4,5] => [4,5,6,7,2,3,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,1,6,2,3,5,4] => [7,4,5,6,2,3,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,6,2,4,3,5] => [6,4,5,7,2,3,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,6,2,4,5,3] => [5,7,4,6,2,3,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,6,2,5,3,4] => [6,7,4,5,2,3,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,6,2,5,4,3] => [7,6,4,5,2,3,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,6,3,2,4,5] => [5,4,6,7,2,3,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,1,6,3,2,5,4] => [4,7,5,6,2,3,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,6,3,4,2,5] => [4,6,5,7,2,3,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,6,3,4,5,2] => [4,5,7,6,2,3,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,6,3,5,2,4] => [4,6,7,5,2,3,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,6,3,5,4,2] => [7,4,6,5,2,3,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,6,4,2,3,5] => [5,6,4,7,2,3,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,1,6,4,2,5,3] => [7,5,4,6,2,3,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,6,4,3,2,5] => [6,5,4,7,2,3,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,1,6,4,3,5,2] => [5,4,7,6,2,3,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,6,4,5,2,3] => [6,4,7,5,2,3,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,6,4,5,3,2] => [4,7,6,5,2,3,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,1,6,5,2,3,4] => [5,6,7,4,2,3,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,1,6,5,2,4,3] => [7,5,6,4,2,3,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,6,5,3,2,4] => [6,5,7,4,2,3,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,1,6,5,3,4,2] => [5,7,6,4,2,3,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,1,6,5,4,2,3] => [6,7,5,4,2,3,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,1,6,5,4,3,2] => [7,6,5,4,2,3,1] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[7,2,1,3,4,5,6] => [3,2,4,5,6,7,1] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 7
[7,2,1,3,4,6,5] => [2,7,3,4,5,6,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,2,1,3,5,4,6] => [2,6,3,4,5,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,2,1,3,5,6,4] => [2,5,7,3,4,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,1,3,6,4,5] => [2,6,7,3,4,5,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,1,3,6,5,4] => [7,2,6,3,4,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,1,4,3,5,6] => [2,5,3,4,6,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,2,1,4,3,6,5] => [2,4,7,3,5,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,1,4,5,3,6] => [2,4,6,3,5,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,1,4,5,6,3] => [2,4,5,7,3,6,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,1,4,6,3,5] => [2,4,6,7,3,5,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,1,4,6,5,3] => [7,2,4,6,3,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,1,5,3,4,6] => [2,5,6,3,4,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,1,5,3,6,4] => [7,2,5,3,4,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,1,5,4,3,6] => [6,2,5,3,4,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,1,5,4,6,3] => [5,2,4,7,3,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,1,5,6,3,4] => [6,2,4,7,3,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,1,5,6,4,3] => [4,7,2,6,3,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,1,6,3,4,5] => [2,5,6,7,3,4,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,1,6,3,5,4] => [7,2,5,6,3,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,1,6,4,3,5] => [6,2,5,7,3,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,1,6,4,5,3] => [5,7,2,6,3,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,1,6,5,3,4] => [6,7,2,5,3,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,1,6,5,4,3] => [7,6,2,5,3,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,2,3,1,4,5,6] => [2,4,3,5,6,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,2,3,1,4,6,5] => [2,3,7,4,5,6,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,3,1,5,4,6] => [2,3,6,4,5,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,3,1,5,6,4] => [2,3,5,7,4,6,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,3,1,6,4,5] => [2,3,6,7,4,5,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,3,1,6,5,4] => [7,2,3,6,4,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,3,4,1,5,6] => [2,3,5,4,6,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,3,4,1,6,5] => [2,3,4,7,5,6,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,3,4,5,1,6] => [2,3,4,6,5,7,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,3,4,5,6,1] => [2,3,4,5,7,6,1] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[7,2,3,4,6,1,5] => [2,3,4,6,7,5,1] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[7,2,3,4,6,5,1] => [7,2,3,4,6,5,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,3,5,1,4,6] => [2,3,5,6,4,7,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,3,5,1,6,4] => [7,2,3,5,4,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,3,5,4,1,6] => [6,2,3,5,4,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,3,5,4,6,1] => [5,2,3,4,7,6,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,3,5,6,1,4] => [6,2,3,4,7,5,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,3,5,6,4,1] => [4,7,2,3,6,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,3,6,1,4,5] => [2,3,5,6,7,4,1] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[7,2,3,6,1,5,4] => [7,2,3,5,6,4,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,3,6,4,1,5] => [6,2,3,5,7,4,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,3,6,4,5,1] => [5,7,2,3,6,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,3,6,5,1,4] => [6,7,2,3,5,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,3,6,5,4,1] => [7,6,2,3,5,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,4,1,3,5,6] => [2,4,5,3,6,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,2,4,1,3,6,5] => [7,2,4,3,5,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,4,1,5,3,6] => [6,2,4,3,5,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,4,1,5,6,3] => [5,2,3,7,4,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,4,1,6,3,5] => [6,2,3,7,4,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,4,1,6,5,3] => [3,7,2,6,4,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,4,3,1,5,6] => [5,2,4,3,6,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,2,4,3,1,6,5] => [4,2,3,7,5,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,4,3,5,1,6] => [4,2,3,6,5,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,4,3,5,6,1] => [4,2,3,5,7,6,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,4,3,6,1,5] => [4,2,3,6,7,5,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,4,3,6,5,1] => [3,7,2,4,6,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,4,5,1,3,6] => [5,2,3,6,4,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,4,5,1,6,3] => [3,7,2,5,4,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,4,5,3,1,6] => [3,6,2,5,4,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,4,5,3,6,1] => [3,5,2,4,7,6,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,4,5,6,1,3] => [3,6,2,4,7,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,4,5,6,3,1] => [3,4,7,2,6,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,4,6,1,3,5] => [5,2,3,6,7,4,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,4,6,1,5,3] => [3,7,2,5,6,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,4,6,3,1,5] => [3,6,2,5,7,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,4,6,3,5,1] => [3,5,7,2,6,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,4,6,5,1,3] => [3,6,7,2,5,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,4,6,5,3,1] => [7,3,6,2,5,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,5,1,3,4,6] => [2,4,5,6,3,7,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,2,5,1,3,6,4] => [7,2,4,5,3,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,5,1,4,3,6] => [6,2,4,5,3,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,5,1,4,6,3] => [5,7,2,4,3,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,5,1,6,3,4] => [6,7,2,4,3,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,5,1,6,4,3] => [7,6,2,4,3,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,2,5,3,1,4,6] => [5,2,4,6,3,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,2,5,3,1,6,4] => [4,7,2,5,3,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,5,3,4,1,6] => [4,6,2,5,3,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,5,3,4,6,1] => [4,5,2,3,7,6,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,5,3,6,1,4] => [4,6,2,3,7,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,5,3,6,4,1] => [7,4,2,3,6,5,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,5,4,1,3,6] => [5,6,2,4,3,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,2,5,4,1,6,3] => [7,5,2,4,3,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,2,5,4,3,1,6] => [6,5,2,4,3,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,2,5,4,3,6,1] => [5,4,2,3,7,6,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,5,4,6,1,3] => [6,4,2,3,7,5,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,5,4,6,3,1] => [4,3,7,2,6,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,5,6,1,3,4] => [5,6,2,3,7,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,5,6,1,4,3] => [7,5,2,3,6,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,5,6,3,1,4] => [6,5,2,3,7,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,5,6,3,4,1] => [5,3,7,2,6,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,5,6,4,1,3] => [6,3,7,2,5,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,5,6,4,3,1] => [3,7,6,2,5,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,2,6,1,3,4,5] => [2,4,5,6,7,3,1] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[7,2,6,1,3,5,4] => [7,2,4,5,6,3,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,6,1,4,3,5] => [6,2,4,5,7,3,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,6,1,4,5,3] => [5,7,2,4,6,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,6,1,5,3,4] => [6,7,2,4,5,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,6,1,5,4,3] => [7,6,2,4,5,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,6,3,1,4,5] => [5,2,4,6,7,3,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,2,6,3,1,5,4] => [4,7,2,5,6,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,6,3,4,1,5] => [4,6,2,5,7,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,6,3,4,5,1] => [4,5,7,2,6,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,6,3,5,1,4] => [4,6,7,2,5,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,6,3,5,4,1] => [7,4,6,2,5,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,6,4,1,3,5] => [5,6,2,4,7,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,2,6,4,1,5,3] => [7,5,2,4,6,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,6,4,3,1,5] => [6,5,2,4,7,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,2,6,4,3,5,1] => [5,4,7,2,6,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,6,4,5,1,3] => [6,4,7,2,5,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,6,4,5,3,1] => [4,7,6,2,5,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,2,6,5,1,3,4] => [5,6,7,2,4,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,2,6,5,1,4,3] => [7,5,6,2,4,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,6,5,3,1,4] => [6,5,7,2,4,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,2,6,5,3,4,1] => [5,7,6,2,4,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,2,6,5,4,1,3] => [6,7,5,2,4,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,2,6,5,4,3,1] => [7,6,5,2,4,3,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,3,1,2,4,5,6] => [3,4,2,5,6,7,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 8
[7,3,1,2,4,6,5] => [7,3,2,4,5,6,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,3,1,2,5,4,6] => [6,3,2,4,5,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,3,1,2,5,6,4] => [5,2,7,3,4,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,1,2,6,4,5] => [6,2,7,3,4,5,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,1,2,6,5,4] => [2,7,6,3,4,5,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,1,4,2,5,6] => [5,3,2,4,6,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,3,1,4,2,6,5] => [4,2,7,3,5,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,1,4,5,2,6] => [4,2,6,3,5,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,1,4,5,6,2] => [4,2,5,7,3,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,1,4,6,2,5] => [4,2,6,7,3,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,1,4,6,5,2] => [2,7,4,6,3,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,1,5,2,4,6] => [5,2,6,3,4,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,1,5,2,6,4] => [2,7,5,3,4,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,1,5,4,2,6] => [2,6,5,3,4,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,1,5,4,6,2] => [2,5,4,7,3,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,1,5,6,2,4] => [2,6,4,7,3,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,1,5,6,4,2] => [2,4,7,6,3,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,1,6,2,4,5] => [5,2,6,7,3,4,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,1,6,2,5,4] => [2,7,5,6,3,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,1,6,4,2,5] => [2,6,5,7,3,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,1,6,4,5,2] => [2,5,7,6,3,4,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,1,6,5,2,4] => [2,6,7,5,3,4,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,1,6,5,4,2] => [7,2,6,5,3,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,3,2,1,4,5,6] => [4,3,2,5,6,7,1] => [1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 9
[7,3,2,1,4,6,5] => [3,2,7,4,5,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,2,1,5,4,6] => [3,2,6,4,5,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,2,1,5,6,4] => [3,2,5,7,4,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,2,1,6,4,5] => [3,2,6,7,4,5,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,2,1,6,5,4] => [2,7,3,6,4,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,2,4,1,5,6] => [3,2,5,4,6,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,2,4,1,6,5] => [3,2,4,7,5,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,2,4,5,1,6] => [3,2,4,6,5,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,2,4,5,6,1] => [3,2,4,5,7,6,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,3,2,4,6,1,5] => [3,2,4,6,7,5,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,3,2,4,6,5,1] => [2,7,3,4,6,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,2,5,1,4,6] => [3,2,5,6,4,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,2,5,1,6,4] => [2,7,3,5,4,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,2,5,4,1,6] => [2,6,3,5,4,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,2,5,4,6,1] => [2,5,3,4,7,6,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,2,5,6,1,4] => [2,6,3,4,7,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,2,5,6,4,1] => [2,4,7,3,6,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,2,6,1,4,5] => [3,2,5,6,7,4,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,3,2,6,1,5,4] => [2,7,3,5,6,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,2,6,4,1,5] => [2,6,3,5,7,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,2,6,4,5,1] => [2,5,7,3,6,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,2,6,5,1,4] => [2,6,7,3,5,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,2,6,5,4,1] => [7,2,6,3,5,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,4,1,2,5,6] => [4,2,5,3,6,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,3,4,1,2,6,5] => [2,7,4,3,5,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,4,1,5,2,6] => [2,6,4,3,5,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,4,1,5,6,2] => [2,5,3,7,4,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,4,1,6,2,5] => [2,6,3,7,4,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,4,1,6,5,2] => [2,3,7,6,4,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,4,2,1,5,6] => [2,5,4,3,6,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,3,4,2,1,6,5] => [2,4,3,7,5,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,4,2,5,1,6] => [2,4,3,6,5,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,4,2,5,6,1] => [2,4,3,5,7,6,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,4,2,6,1,5] => [2,4,3,6,7,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,4,2,6,5,1] => [2,3,7,4,6,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,4,5,1,2,6] => [2,5,3,6,4,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,4,5,1,6,2] => [2,3,7,5,4,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,4,5,2,1,6] => [2,3,6,5,4,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,4,5,2,6,1] => [2,3,5,4,7,6,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,4,5,6,1,2] => [2,3,6,4,7,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,4,5,6,2,1] => [2,3,4,7,6,5,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,4,6,1,2,5] => [2,5,3,6,7,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,4,6,1,5,2] => [2,3,7,5,6,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,4,6,2,1,5] => [2,3,6,5,7,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,4,6,2,5,1] => [2,3,5,7,6,4,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,4,6,5,1,2] => [2,3,6,7,5,4,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,4,6,5,2,1] => [7,2,3,6,5,4,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,5,1,2,4,6] => [4,2,5,6,3,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,3,5,1,2,6,4] => [2,7,4,5,3,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,5,1,4,2,6] => [2,6,4,5,3,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,5,1,4,6,2] => [2,5,7,4,3,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,5,1,6,2,4] => [2,6,7,4,3,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,5,1,6,4,2] => [7,2,6,4,3,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,3,5,2,1,4,6] => [2,5,4,6,3,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,3,5,2,1,6,4] => [2,4,7,5,3,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,5,2,4,1,6] => [2,4,6,5,3,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,5,2,4,6,1] => [2,4,5,3,7,6,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,5,2,6,1,4] => [2,4,6,3,7,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,5,2,6,4,1] => [7,2,4,3,6,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,5,4,1,2,6] => [2,5,6,4,3,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,3,5,4,1,6,2] => [7,2,5,4,3,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,3,5,4,2,1,6] => [6,2,5,4,3,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,3,5,4,2,6,1] => [5,2,4,3,7,6,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,5,4,6,1,2] => [6,2,4,3,7,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,5,4,6,2,1] => [4,2,3,7,6,5,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,5,6,1,2,4] => [2,5,6,3,7,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,5,6,1,4,2] => [7,2,5,3,6,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,5,6,2,1,4] => [6,2,5,3,7,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,5,6,2,4,1] => [5,2,3,7,6,4,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,5,6,4,1,2] => [6,2,3,7,5,4,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,5,6,4,2,1] => [3,7,2,6,5,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,3,6,1,2,4,5] => [4,2,5,6,7,3,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,3,6,1,2,5,4] => [2,7,4,5,6,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,6,1,4,2,5] => [2,6,4,5,7,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,6,1,4,5,2] => [2,5,7,4,6,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,6,1,5,2,4] => [2,6,7,4,5,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,6,1,5,4,2] => [7,2,6,4,5,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,6,2,1,4,5] => [2,5,4,6,7,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,3,6,2,1,5,4] => [2,4,7,5,6,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,6,2,4,1,5] => [2,4,6,5,7,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,6,2,4,5,1] => [2,4,5,7,6,3,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,6,2,5,1,4] => [2,4,6,7,5,3,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,6,2,5,4,1] => [7,2,4,6,5,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,6,4,1,2,5] => [2,5,6,4,7,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,3,6,4,1,5,2] => [7,2,5,4,6,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,6,4,2,1,5] => [6,2,5,4,7,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,3,6,4,2,5,1] => [5,2,4,7,6,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,6,4,5,1,2] => [6,2,4,7,5,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,6,4,5,2,1] => [4,7,2,6,5,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,3,6,5,1,2,4] => [2,5,6,7,4,3,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,3,6,5,1,4,2] => [7,2,5,6,4,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,6,5,2,1,4] => [6,2,5,7,4,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,3,6,5,2,4,1] => [5,7,2,6,4,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,3,6,5,4,1,2] => [6,7,2,5,4,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,3,6,5,4,2,1] => [7,6,2,5,4,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,4,1,2,3,5,6] => [3,4,5,2,6,7,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 9
[7,4,1,2,3,6,5] => [7,3,4,2,5,6,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,4,1,2,5,3,6] => [6,3,4,2,5,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,4,1,2,5,6,3] => [5,7,3,2,4,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,1,2,6,3,5] => [6,7,3,2,4,5,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,1,2,6,5,3] => [7,6,3,2,4,5,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,1,3,2,5,6] => [5,3,4,2,6,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,4,1,3,2,6,5] => [4,7,3,2,5,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,1,3,5,2,6] => [4,6,3,2,5,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,1,3,5,6,2] => [4,5,2,7,3,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,1,3,6,2,5] => [4,6,2,7,3,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,1,3,6,5,2] => [7,4,2,6,3,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,1,5,2,3,6] => [5,6,3,2,4,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,1,5,2,6,3] => [7,5,3,2,4,6,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,1,5,3,2,6] => [6,5,3,2,4,7,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,1,5,3,6,2] => [5,4,2,7,3,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,1,5,6,2,3] => [6,4,2,7,3,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,1,5,6,3,2] => [4,2,7,6,3,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,1,6,2,3,5] => [5,6,2,7,3,4,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,1,6,2,5,3] => [7,5,2,6,3,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,1,6,3,2,5] => [6,5,2,7,3,4,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,1,6,3,5,2] => [5,2,7,6,3,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,1,6,5,2,3] => [6,2,7,5,3,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,1,6,5,3,2] => [2,7,6,5,3,4,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,4,2,1,3,5,6] => [4,3,5,2,6,7,1] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10
[7,4,2,1,3,6,5] => [3,7,4,2,5,6,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,2,1,5,3,6] => [3,6,4,2,5,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,2,1,5,6,3] => [3,5,2,7,4,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,2,1,6,3,5] => [3,6,2,7,4,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,2,1,6,5,3] => [7,3,2,6,4,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,2,3,1,5,6] => [3,5,4,2,6,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,2,3,1,6,5] => [3,4,2,7,5,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,2,3,5,1,6] => [3,4,2,6,5,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,2,3,5,6,1] => [3,4,2,5,7,6,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,4,2,3,6,1,5] => [3,4,2,6,7,5,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,4,2,3,6,5,1] => [7,3,2,4,6,5,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,2,5,1,3,6] => [3,5,2,6,4,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,2,5,1,6,3] => [7,3,2,5,4,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,2,5,3,1,6] => [6,3,2,5,4,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,2,5,3,6,1] => [5,3,2,4,7,6,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,2,5,6,1,3] => [6,3,2,4,7,5,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,2,5,6,3,1] => [4,2,7,3,6,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,2,6,1,3,5] => [3,5,2,6,7,4,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,4,2,6,1,5,3] => [7,3,2,5,6,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,2,6,3,1,5] => [6,3,2,5,7,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,2,6,3,5,1] => [5,2,7,3,6,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,2,6,5,1,3] => [6,2,7,3,5,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,2,6,5,3,1] => [2,7,6,3,5,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,3,1,2,5,6] => [4,5,3,2,6,7,1] => [2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11
[7,4,3,1,2,6,5] => [7,4,3,2,5,6,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,3,1,5,2,6] => [6,4,3,2,5,7,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,3,1,5,6,2] => [5,3,2,7,4,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,3,1,6,2,5] => [6,3,2,7,4,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,3,1,6,5,2] => [3,2,7,6,4,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,3,2,1,5,6] => [5,4,3,2,6,7,1] => [1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 12
[7,4,3,2,1,6,5] => [4,3,2,7,5,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,3,2,5,1,6] => [4,3,2,6,5,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,3,2,5,6,1] => [4,3,2,5,7,6,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,3,2,6,1,5] => [4,3,2,6,7,5,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,3,2,6,5,1] => [3,2,7,4,6,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,3,5,1,2,6] => [5,3,2,6,4,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,3,5,1,6,2] => [3,2,7,5,4,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,3,5,2,1,6] => [3,2,6,5,4,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,3,5,2,6,1] => [3,2,5,4,7,6,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,3,5,6,1,2] => [3,2,6,4,7,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,3,5,6,2,1] => [3,2,4,7,6,5,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,3,6,1,2,5] => [5,3,2,6,7,4,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,3,6,1,5,2] => [3,2,7,5,6,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,3,6,2,1,5] => [3,2,6,5,7,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,3,6,2,5,1] => [3,2,5,7,6,4,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,3,6,5,1,2] => [3,2,6,7,5,4,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,3,6,5,2,1] => [2,7,3,6,5,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,5,1,2,3,6] => [4,5,2,6,3,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,4,5,1,2,6,3] => [7,4,2,5,3,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,5,1,3,2,6] => [6,4,2,5,3,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,5,1,3,6,2] => [5,2,7,4,3,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,5,1,6,2,3] => [6,2,7,4,3,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,5,1,6,3,2] => [2,7,6,4,3,5,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,4,5,2,1,3,6] => [5,4,2,6,3,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,4,5,2,1,6,3] => [4,2,7,5,3,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,5,2,3,1,6] => [4,2,6,5,3,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,5,2,3,6,1] => [4,2,5,3,7,6,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,5,2,6,1,3] => [4,2,6,3,7,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,5,2,6,3,1] => [2,7,4,3,6,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,5,3,1,2,6] => [5,2,6,4,3,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,4,5,3,1,6,2] => [2,7,5,4,3,6,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,4,5,3,2,1,6] => [2,6,5,4,3,7,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,4,5,3,2,6,1] => [2,5,4,3,7,6,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,5,3,6,1,2] => [2,6,4,3,7,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,5,3,6,2,1] => [2,4,3,7,6,5,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,5,6,1,2,3] => [5,2,6,3,7,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,5,6,1,3,2] => [2,7,5,3,6,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,5,6,2,1,3] => [2,6,5,3,7,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,5,6,2,3,1] => [2,5,3,7,6,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,5,6,3,1,2] => [2,6,3,7,5,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,5,6,3,2,1] => [2,3,7,6,5,4,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,4,6,1,2,3,5] => [4,5,2,6,7,3,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,4,6,1,2,5,3] => [7,4,2,5,6,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,6,1,3,2,5] => [6,4,2,5,7,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,6,1,3,5,2] => [5,2,7,4,6,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,6,1,5,2,3] => [6,2,7,4,5,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,6,1,5,3,2] => [2,7,6,4,5,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,6,2,1,3,5] => [5,4,2,6,7,3,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,4,6,2,1,5,3] => [4,2,7,5,6,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,6,2,3,1,5] => [4,2,6,5,7,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,6,2,3,5,1] => [4,2,5,7,6,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,6,2,5,1,3] => [4,2,6,7,5,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,6,2,5,3,1] => [2,7,4,6,5,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,6,3,1,2,5] => [5,2,6,4,7,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,4,6,3,1,5,2] => [2,7,5,4,6,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,6,3,2,1,5] => [2,6,5,4,7,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,4,6,3,2,5,1] => [2,5,4,7,6,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,6,3,5,1,2] => [2,6,4,7,5,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,6,3,5,2,1] => [2,4,7,6,5,3,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,4,6,5,1,2,3] => [5,2,6,7,4,3,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,4,6,5,1,3,2] => [2,7,5,6,4,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,6,5,2,1,3] => [2,6,5,7,4,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,4,6,5,2,3,1] => [2,5,7,6,4,3,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,4,6,5,3,1,2] => [2,6,7,5,4,3,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,4,6,5,3,2,1] => [7,2,6,5,4,3,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,5,1,2,3,4,6] => [3,4,5,6,2,7,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 10
[7,5,1,2,3,6,4] => [7,3,4,5,2,6,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,5,1,2,4,3,6] => [6,3,4,5,2,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,5,1,2,4,6,3] => [5,7,3,4,2,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,1,2,6,3,4] => [6,7,3,4,2,5,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,1,2,6,4,3] => [7,6,3,4,2,5,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,1,3,2,4,6] => [5,3,4,6,2,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,5,1,3,2,6,4] => [4,7,3,5,2,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,1,3,4,2,6] => [4,6,3,5,2,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,1,3,4,6,2] => [4,5,7,3,2,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,1,3,6,2,4] => [4,6,7,3,2,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,1,3,6,4,2] => [7,4,6,3,2,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,1,4,2,3,6] => [5,6,3,4,2,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,1,4,2,6,3] => [7,5,3,4,2,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,1,4,3,2,6] => [6,5,3,4,2,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,1,4,3,6,2] => [5,4,7,3,2,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,1,4,6,2,3] => [6,4,7,3,2,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,1,4,6,3,2] => [4,7,6,3,2,5,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,1,6,2,3,4] => [5,6,7,3,2,4,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,1,6,2,4,3] => [7,5,6,3,2,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,1,6,3,2,4] => [6,5,7,3,2,4,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,1,6,3,4,2] => [5,7,6,3,2,4,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,1,6,4,2,3] => [6,7,5,3,2,4,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,1,6,4,3,2] => [7,6,5,3,2,4,1] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[7,5,2,1,3,4,6] => [4,3,5,6,2,7,1] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 11
[7,5,2,1,3,6,4] => [3,7,4,5,2,6,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,2,1,4,3,6] => [3,6,4,5,2,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,2,1,4,6,3] => [3,5,7,4,2,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,2,1,6,3,4] => [3,6,7,4,2,5,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,2,1,6,4,3] => [7,3,6,4,2,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,2,3,1,4,6] => [3,5,4,6,2,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,2,3,1,6,4] => [3,4,7,5,2,6,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,2,3,4,1,6] => [3,4,6,5,2,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,2,3,4,6,1] => [3,4,5,2,7,6,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,5,2,3,6,1,4] => [3,4,6,2,7,5,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,5,2,3,6,4,1] => [7,3,4,2,6,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,2,4,1,3,6] => [3,5,6,4,2,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,2,4,1,6,3] => [7,3,5,4,2,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,2,4,3,1,6] => [6,3,5,4,2,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,2,4,3,6,1] => [5,3,4,2,7,6,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,2,4,6,1,3] => [6,3,4,2,7,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,2,4,6,3,1] => [4,7,3,2,6,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,2,6,1,3,4] => [3,5,6,2,7,4,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,5,2,6,1,4,3] => [7,3,5,2,6,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,2,6,3,1,4] => [6,3,5,2,7,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,2,6,3,4,1] => [5,7,3,2,6,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,2,6,4,1,3] => [6,7,3,2,5,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,2,6,4,3,1] => [7,6,3,2,5,4,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,3,1,2,4,6] => [4,5,3,6,2,7,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 12
[7,5,3,1,2,6,4] => [7,4,3,5,2,6,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,3,1,4,2,6] => [6,4,3,5,2,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,3,1,4,6,2] => [5,3,7,4,2,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,3,1,6,2,4] => [6,3,7,4,2,5,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,3,1,6,4,2] => [3,7,6,4,2,5,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,3,2,1,4,6] => [5,4,3,6,2,7,1] => [1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 13
[7,5,3,2,1,6,4] => [4,3,7,5,2,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,3,2,4,1,6] => [4,3,6,5,2,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,3,2,4,6,1] => [4,3,5,2,7,6,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,3,2,6,1,4] => [4,3,6,2,7,5,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,3,2,6,4,1] => [3,7,4,2,6,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,3,4,1,2,6] => [5,3,6,4,2,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,3,4,1,6,2] => [3,7,5,4,2,6,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,3,4,2,1,6] => [3,6,5,4,2,7,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,3,4,2,6,1] => [3,5,4,2,7,6,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,3,4,6,1,2] => [3,6,4,2,7,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,3,4,6,2,1] => [3,4,2,7,6,5,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,3,6,1,2,4] => [5,3,6,2,7,4,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,3,6,1,4,2] => [3,7,5,2,6,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,3,6,2,1,4] => [3,6,5,2,7,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,3,6,2,4,1] => [3,5,2,7,6,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,3,6,4,1,2] => [3,6,2,7,5,4,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,3,6,4,2,1] => [7,3,2,6,5,4,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,4,1,2,3,6] => [4,5,6,3,2,7,1] => [3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 13
[7,5,4,1,2,6,3] => [7,4,5,3,2,6,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,4,1,3,2,6] => [6,4,5,3,2,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,4,1,3,6,2] => [5,7,4,3,2,6,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,4,1,6,2,3] => [6,7,4,3,2,5,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,4,1,6,3,2] => [7,6,4,3,2,5,1] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[7,5,4,2,1,3,6] => [5,4,6,3,2,7,1] => [1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 14
[7,5,4,2,1,6,3] => [4,7,5,3,2,6,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,4,2,3,1,6] => [4,6,5,3,2,7,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,4,2,3,6,1] => [4,5,3,2,7,6,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,4,2,6,1,3] => [4,6,3,2,7,5,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,4,2,6,3,1] => [7,4,3,2,6,5,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,4,3,1,2,6] => [5,6,4,3,2,7,1] => [2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 15
[7,5,4,3,1,6,2] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[7,5,4,3,2,1,6] => [6,5,4,3,2,7,1] => [1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 16
[7,5,4,3,2,6,1] => [5,4,3,2,7,6,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,4,3,6,1,2] => [6,4,3,2,7,5,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,4,3,6,2,1] => [4,3,2,7,6,5,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,4,6,1,2,3] => [5,6,3,2,7,4,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,4,6,1,3,2] => [7,5,3,2,6,4,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,4,6,2,1,3] => [6,5,3,2,7,4,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,4,6,2,3,1] => [5,3,2,7,6,4,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,4,6,3,1,2] => [6,3,2,7,5,4,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,4,6,3,2,1] => [3,2,7,6,5,4,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,5,6,1,2,3,4] => [4,5,6,2,7,3,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,5,6,1,2,4,3] => [7,4,5,2,6,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,6,1,3,2,4] => [6,4,5,2,7,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,6,1,3,4,2] => [5,7,4,2,6,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,6,1,4,2,3] => [6,7,4,2,5,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,6,1,4,3,2] => [7,6,4,2,5,3,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,6,2,1,3,4] => [5,4,6,2,7,3,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,5,6,2,1,4,3] => [4,7,5,2,6,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,6,2,3,1,4] => [4,6,5,2,7,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,6,2,3,4,1] => [4,5,2,7,6,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,6,2,4,1,3] => [4,6,2,7,5,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,6,2,4,3,1] => [7,4,2,6,5,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,6,3,1,2,4] => [5,6,4,2,7,3,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,5,6,3,1,4,2] => [7,5,4,2,6,3,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,6,3,2,1,4] => [6,5,4,2,7,3,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,5,6,3,2,4,1] => [5,4,2,7,6,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,6,3,4,1,2] => [6,4,2,7,5,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,6,3,4,2,1] => [4,2,7,6,5,3,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,5,6,4,1,2,3] => [5,6,2,7,4,3,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,5,6,4,1,3,2] => [7,5,2,6,4,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,6,4,2,1,3] => [6,5,2,7,4,3,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,5,6,4,2,3,1] => [5,2,7,6,4,3,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,5,6,4,3,1,2] => [6,2,7,5,4,3,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,5,6,4,3,2,1] => [2,7,6,5,4,3,1] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,6,1,2,3,4,5] => [3,4,5,6,7,2,1] => [5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11
[7,6,1,2,3,5,4] => [7,3,4,5,6,2,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,6,1,2,4,3,5] => [6,3,4,5,7,2,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,6,1,2,4,5,3] => [5,7,3,4,6,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,1,2,5,3,4] => [6,7,3,4,5,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,1,2,5,4,3] => [7,6,3,4,5,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,1,3,2,4,5] => [5,3,4,6,7,2,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,6,1,3,2,5,4] => [4,7,3,5,6,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,1,3,4,2,5] => [4,6,3,5,7,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,1,3,4,5,2] => [4,5,7,3,6,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,1,3,5,2,4] => [4,6,7,3,5,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,1,3,5,4,2] => [7,4,6,3,5,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,1,4,2,3,5] => [5,6,3,4,7,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,1,4,2,5,3] => [7,5,3,4,6,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,1,4,3,2,5] => [6,5,3,4,7,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,1,4,3,5,2] => [5,4,7,3,6,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,1,4,5,2,3] => [6,4,7,3,5,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,1,4,5,3,2] => [4,7,6,3,5,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,1,5,2,3,4] => [5,6,7,3,4,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,1,5,2,4,3] => [7,5,6,3,4,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,1,5,3,2,4] => [6,5,7,3,4,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,1,5,3,4,2] => [5,7,6,3,4,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,1,5,4,2,3] => [6,7,5,3,4,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,1,5,4,3,2] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,6,2,1,3,4,5] => [4,3,5,6,7,2,1] => [1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 12
[7,6,2,1,3,5,4] => [3,7,4,5,6,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,2,1,4,3,5] => [3,6,4,5,7,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,2,1,4,5,3] => [3,5,7,4,6,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,2,1,5,3,4] => [3,6,7,4,5,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,2,1,5,4,3] => [7,3,6,4,5,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,2,3,1,4,5] => [3,5,4,6,7,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,2,3,1,5,4] => [3,4,7,5,6,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,2,3,4,1,5] => [3,4,6,5,7,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,2,3,4,5,1] => [3,4,5,7,6,2,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,6,2,3,5,1,4] => [3,4,6,7,5,2,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,6,2,3,5,4,1] => [7,3,4,6,5,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,2,4,1,3,5] => [3,5,6,4,7,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,2,4,1,5,3] => [7,3,5,4,6,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,2,4,3,1,5] => [6,3,5,4,7,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,2,4,3,5,1] => [5,3,4,7,6,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,2,4,5,1,3] => [6,3,4,7,5,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,2,4,5,3,1] => [4,7,3,6,5,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,2,5,1,3,4] => [3,5,6,7,4,2,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,6,2,5,1,4,3] => [7,3,5,6,4,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,2,5,3,1,4] => [6,3,5,7,4,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,2,5,3,4,1] => [5,7,3,6,4,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,2,5,4,1,3] => [6,7,3,5,4,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,2,5,4,3,1] => [7,6,3,5,4,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,3,1,2,4,5] => [4,5,3,6,7,2,1] => [2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 13
[7,6,3,1,2,5,4] => [7,4,3,5,6,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,3,1,4,2,5] => [6,4,3,5,7,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,3,1,4,5,2] => [5,3,7,4,6,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,3,1,5,2,4] => [6,3,7,4,5,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,3,1,5,4,2] => [3,7,6,4,5,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,3,2,1,4,5] => [5,4,3,6,7,2,1] => [1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 14
[7,6,3,2,1,5,4] => [4,3,7,5,6,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,3,2,4,1,5] => [4,3,6,5,7,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,3,2,4,5,1] => [4,3,5,7,6,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,3,2,5,1,4] => [4,3,6,7,5,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,3,2,5,4,1] => [3,7,4,6,5,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,3,4,1,2,5] => [5,3,6,4,7,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,3,4,1,5,2] => [3,7,5,4,6,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,3,4,2,1,5] => [3,6,5,4,7,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,3,4,2,5,1] => [3,5,4,7,6,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,3,4,5,1,2] => [3,6,4,7,5,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,3,4,5,2,1] => [3,4,7,6,5,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,3,5,1,2,4] => [5,3,6,7,4,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,3,5,1,4,2] => [3,7,5,6,4,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,3,5,2,1,4] => [3,6,5,7,4,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,3,5,2,4,1] => [3,5,7,6,4,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,3,5,4,1,2] => [3,6,7,5,4,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,3,5,4,2,1] => [7,3,6,5,4,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,4,1,2,3,5] => [4,5,6,3,7,2,1] => [3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 14
[7,6,4,1,2,5,3] => [7,4,5,3,6,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,4,1,3,2,5] => [6,4,5,3,7,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,4,1,3,5,2] => [5,7,4,3,6,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,4,1,5,2,3] => [6,7,4,3,5,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,4,1,5,3,2] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,6,4,2,1,3,5] => [5,4,6,3,7,2,1] => [1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 15
[7,6,4,2,1,5,3] => [4,7,5,3,6,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,4,2,3,1,5] => [4,6,5,3,7,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,4,2,3,5,1] => [4,5,3,7,6,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,4,2,5,1,3] => [4,6,3,7,5,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,4,2,5,3,1] => [7,4,3,6,5,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,4,3,1,2,5] => [5,6,4,3,7,2,1] => [2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 16
[7,6,4,3,1,5,2] => [7,5,4,3,6,2,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,6,4,3,2,1,5] => [6,5,4,3,7,2,1] => [1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 17
[7,6,4,3,2,5,1] => [5,4,3,7,6,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,4,3,5,1,2] => [6,4,3,7,5,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,4,3,5,2,1] => [4,3,7,6,5,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,4,5,1,2,3] => [5,6,3,7,4,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,4,5,1,3,2] => [7,5,3,6,4,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,4,5,2,1,3] => [6,5,3,7,4,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,4,5,2,3,1] => [5,3,7,6,4,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,4,5,3,1,2] => [6,3,7,5,4,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,4,5,3,2,1] => [3,7,6,5,4,2,1] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,6,5,1,2,3,4] => [4,5,6,7,3,2,1] => [4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 15
[7,6,5,1,2,4,3] => [7,4,5,6,3,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,5,1,3,2,4] => [6,4,5,7,3,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,5,1,3,4,2] => [5,7,4,6,3,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,5,1,4,2,3] => [6,7,4,5,3,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,5,1,4,3,2] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,5,2,1,3,4] => [5,4,6,7,3,2,1] => [1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 16
[7,6,5,2,1,4,3] => [4,7,5,6,3,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,5,2,3,1,4] => [4,6,5,7,3,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,5,2,3,4,1] => [4,5,7,6,3,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,5,2,4,1,3] => [4,6,7,5,3,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,5,2,4,3,1] => [7,4,6,5,3,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,5,3,1,2,4] => [5,6,4,7,3,2,1] => [2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 17
[7,6,5,3,1,4,2] => [7,5,4,6,3,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,5,3,2,1,4] => [6,5,4,7,3,2,1] => [1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 18
[7,6,5,3,2,4,1] => [5,4,7,6,3,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,5,3,4,1,2] => [6,4,7,5,3,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,5,3,4,2,1] => [4,7,6,5,3,2,1] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,6,5,4,1,2,3] => [5,6,7,4,3,2,1] => [3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 18
[7,6,5,4,1,3,2] => [7,5,6,4,3,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,5,4,2,1,3] => [6,5,7,4,3,2,1] => [1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 19
[7,6,5,4,2,3,1] => [5,7,6,4,3,2,1] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,6,5,4,3,1,2] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 20
[7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 21
[8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 28
[7,8,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[8,6,7,5,4,3,2,1] => [2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,6,8,5,4,3,2,1] => [2,1,8,7,6,5,4,3] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,7,5,6,4,3,2,1] => [3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,8,5,6,4,3,2,1] => [3,1,8,7,6,5,4,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,5,7,4,3,2,1] => [3,2,8,7,6,5,4,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,6,5,8,4,3,2,1] => [3,2,1,8,7,6,5,4] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[6,7,5,8,4,3,2,1] => [1,3,2,8,7,6,5,4] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,5,6,8,4,3,2,1] => [2,3,1,8,7,6,5,4] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,5,7,8,4,3,2,1] => [2,1,3,8,7,6,5,4] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,4,5,3,2,1] => [4,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,8,6,4,5,3,2,1] => [4,1,8,7,6,5,3,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,4,5,3,2,1] => [4,2,8,7,6,5,3,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,6,8,4,5,3,2,1] => [4,2,1,8,7,6,5,3] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[6,7,8,4,5,3,2,1] => [1,4,2,8,7,6,5,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,5,4,6,3,2,1] => [4,3,8,7,6,5,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,5,4,7,3,2,1] => [4,3,2,8,7,6,5,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,6,4,7,3,2,1] => [2,4,3,8,7,6,5,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,4,5,7,3,2,1] => [3,4,2,8,7,6,5,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,5,4,6,7,3,2,1] => [3,2,4,8,7,6,5,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,6,5,4,8,3,2,1] => [4,3,2,1,8,7,6,5] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,5,4,8,3,2,1] => [1,4,3,2,8,7,6,5] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,6,4,8,3,2,1] => [2,4,3,1,8,7,6,5] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,7,4,8,3,2,1] => [2,1,4,3,8,7,6,5] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,4,5,8,3,2,1] => [3,4,2,1,8,7,6,5] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,4,5,8,3,2,1] => [3,1,4,2,8,7,6,5] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,5,4,6,8,3,2,1] => [3,2,4,1,8,7,6,5] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,4,7,8,3,2,1] => [3,2,1,4,8,7,6,5] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,6,4,7,8,3,2,1] => [1,3,2,4,8,7,6,5] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,4,5,7,8,3,2,1] => [2,3,1,4,8,7,6,5] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,6,7,8,3,2,1] => [2,1,3,4,8,7,6,5] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,6,5,3,4,2,1] => [5,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,8,6,5,3,4,2,1] => [5,1,8,7,6,4,3,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,5,3,4,2,1] => [5,2,8,7,6,4,3,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,6,8,5,3,4,2,1] => [5,2,1,8,7,6,4,3] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,5,6,3,4,2,1] => [5,3,8,7,6,4,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,5,6,3,4,2,1] => [5,3,1,8,7,6,4,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,6,7,3,4,2,1] => [2,5,3,8,7,6,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,5,8,3,4,2,1] => [5,3,2,1,8,7,6,4] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,5,8,3,4,2,1] => [1,5,3,2,8,7,6,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,7,8,3,4,2,1] => [2,1,5,3,8,7,6,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,4,3,5,2,1] => [5,4,8,7,6,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,6,4,3,5,2,1] => [5,4,1,8,7,6,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,7,4,3,5,2,1] => [5,4,2,8,7,6,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,8,4,3,5,2,1] => [5,4,2,1,8,7,6,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,8,6,3,4,5,2,1] => [4,5,1,8,7,6,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,7,3,4,5,2,1] => [4,5,2,8,7,6,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,8,3,4,5,2,1] => [4,5,2,1,8,7,6,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,3,4,5,2,1] => [4,1,5,2,8,7,6,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,5,4,3,6,2,1] => [5,4,3,8,7,6,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,8,5,4,3,6,2,1] => [5,4,3,1,8,7,6,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,7,4,5,3,6,2,1] => [3,5,4,8,7,6,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,5,3,4,6,2,1] => [4,5,3,8,7,6,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,5,3,4,6,2,1] => [4,5,3,1,8,7,6,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,4,3,5,6,2,1] => [4,3,5,8,7,6,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,6,5,4,3,7,2,1] => [5,4,3,2,8,7,6,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,5,4,3,6,7,2,1] => [4,3,2,5,8,7,6,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,3,4,6,7,2,1] => [3,4,2,5,8,7,6,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,6,5,4,3,8,2,1] => [5,4,3,2,1,8,7,6] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,7,5,4,3,8,2,1] => [1,5,4,3,2,8,7,6] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,5,6,4,3,8,2,1] => [2,5,4,3,1,8,7,6] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,7,4,3,8,2,1] => [2,1,5,4,3,8,7,6] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,4,5,3,8,2,1] => [3,5,4,2,1,8,7,6] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,5,4,6,3,8,2,1] => [3,2,5,4,1,8,7,6] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,4,7,3,8,2,1] => [3,2,1,5,4,8,7,6] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,6,7,3,8,2,1] => [2,1,3,5,4,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,5,3,4,8,2,1] => [4,5,3,2,1,8,7,6] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,4,3,5,8,2,1] => [4,3,5,2,1,8,7,6] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,4,3,6,8,2,1] => [4,3,2,5,1,8,7,6] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,3,4,6,8,2,1] => [3,4,2,5,1,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,4,3,7,8,2,1] => [4,3,2,1,5,8,7,6] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,3,4,7,8,2,1] => [3,4,2,1,5,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,3,6,7,8,2,1] => [3,2,1,4,5,8,7,6] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,3,4,6,7,8,2,1] => [2,3,1,4,5,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,5,6,7,8,2,1] => [2,1,3,4,5,8,7,6] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,7,6,5,4,2,3,1] => [6,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,8,6,5,4,2,3,1] => [6,1,8,7,5,4,3,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,5,4,2,3,1] => [6,2,8,7,5,4,3,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,6,8,5,4,2,3,1] => [6,2,1,8,7,5,4,3] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,5,6,4,2,3,1] => [6,3,8,7,5,4,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,5,7,4,2,3,1] => [6,3,2,8,7,5,4,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,6,7,4,2,3,1] => [2,6,3,8,7,5,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,5,8,4,2,3,1] => [6,3,2,1,8,7,5,4] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,5,6,8,4,2,3,1] => [2,6,3,1,8,7,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,6,4,5,2,3,1] => [6,4,8,7,5,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,4,5,2,3,1] => [6,4,2,8,7,5,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,8,4,5,2,3,1] => [6,4,2,1,8,7,5,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,8,4,5,2,3,1] => [1,6,4,2,8,7,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,4,6,2,3,1] => [6,4,3,8,7,5,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,4,5,6,2,3,1] => [3,6,4,8,7,5,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,5,4,7,2,3,1] => [6,4,3,2,8,7,5,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,5,6,4,7,2,3,1] => [2,6,4,3,8,7,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,4,5,7,2,3,1] => [3,6,4,2,8,7,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,5,4,8,2,3,1] => [6,4,3,2,1,8,7,5] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,5,6,4,8,2,3,1] => [2,6,4,3,1,8,7,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,7,4,8,2,3,1] => [2,1,6,4,3,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,4,5,8,2,3,1] => [3,6,4,2,1,8,7,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,4,5,8,2,3,1] => [3,1,6,4,2,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,6,5,3,2,4,1] => [6,5,8,7,4,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,6,5,3,2,4,1] => [6,5,1,8,7,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,7,5,3,2,4,1] => [6,5,2,8,7,4,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,8,5,3,2,4,1] => [6,5,2,1,8,7,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,8,5,3,2,4,1] => [1,6,5,2,8,7,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,5,7,3,2,4,1] => [6,5,3,2,8,7,4,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,5,8,3,2,4,1] => [6,5,3,2,1,8,7,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,7,5,8,3,2,4,1] => [1,6,5,3,2,8,7,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,7,5,2,3,4,1] => [5,6,2,8,7,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,8,5,2,3,4,1] => [5,6,2,1,8,7,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,5,2,3,4,1] => [5,1,6,2,8,7,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,5,6,2,3,4,1] => [5,6,3,1,8,7,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,6,7,2,3,4,1] => [5,2,6,3,8,7,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,5,8,2,3,4,1] => [5,6,3,2,1,8,7,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,5,8,2,3,4,1] => [5,1,6,3,2,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,7,8,2,3,4,1] => [5,2,1,6,3,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,6,7,8,2,3,4,1] => [1,5,2,6,3,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,4,3,2,5,1] => [6,5,4,8,7,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,8,6,4,3,2,5,1] => [6,5,4,1,8,7,3,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,6,7,4,3,2,5,1] => [6,5,4,2,8,7,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,8,4,3,2,5,1] => [6,5,4,2,1,8,7,3] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,7,8,4,3,2,5,1] => [1,6,5,4,2,8,7,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,6,3,4,2,5,1] => [4,6,5,8,7,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,6,3,4,2,5,1] => [4,6,5,1,8,7,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,7,3,4,2,5,1] => [4,6,5,2,8,7,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,8,3,4,2,5,1] => [4,6,5,2,1,8,7,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,8,3,4,2,5,1] => [4,1,6,5,2,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,6,4,2,3,5,1] => [5,6,4,8,7,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,8,4,2,3,5,1] => [5,6,4,2,1,8,7,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,8,4,2,3,5,1] => [5,1,6,4,2,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,6,3,2,4,5,1] => [5,4,6,8,7,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,6,7,3,2,4,5,1] => [5,4,6,2,8,7,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,7,8,3,2,4,5,1] => [5,4,1,6,2,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,8,2,3,4,5,1] => [4,5,1,6,2,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,5,4,3,2,6,1] => [6,5,4,3,8,7,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,8,5,4,3,2,6,1] => [6,5,4,3,1,8,7,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,7,5,3,4,2,6,1] => [4,6,5,3,8,7,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,3,4,2,6,1] => [4,6,5,3,1,8,7,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,3,5,2,6,1] => [4,3,6,5,8,7,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,4,3,5,2,6,1] => [4,3,6,5,1,8,7,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,5,4,2,3,6,1] => [5,6,4,3,8,7,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,3,2,4,6,1] => [5,4,6,3,8,7,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,4,3,2,5,6,1] => [5,4,3,6,8,7,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,8,4,3,2,5,6,1] => [5,4,3,6,1,8,7,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,3,4,2,5,6,1] => [3,5,4,6,1,8,7,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,4,2,3,5,6,1] => [4,5,3,6,1,8,7,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,2,4,5,6,1] => [4,3,5,6,1,8,7,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,5,4,3,2,7,1] => [6,5,4,3,2,8,7,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,6,4,3,2,7,1] => [2,6,5,4,3,8,7,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,4,5,3,2,7,1] => [3,6,5,4,2,8,7,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,4,6,3,2,7,1] => [3,2,6,5,4,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,5,3,4,2,7,1] => [4,6,5,3,2,8,7,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,6,3,4,2,7,1] => [4,2,6,5,3,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,3,5,2,7,1] => [4,3,6,5,2,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,4,3,6,2,7,1] => [4,3,2,6,5,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,5,3,6,2,7,1] => [2,4,3,6,5,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,3,5,6,2,7,1] => [3,2,4,6,5,8,7,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,5,4,2,3,7,1] => [5,6,4,3,2,8,7,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,4,5,2,3,7,1] => [5,3,6,4,2,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,5,3,2,4,7,1] => [5,4,6,3,2,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,3,2,5,7,1] => [5,4,3,6,2,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,4,2,3,5,7,1] => [4,5,3,6,2,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,4,3,2,6,7,1] => [5,4,3,2,6,8,7,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,4,5,3,2,6,7,1] => [2,5,4,3,6,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,3,4,2,6,7,1] => [3,5,4,2,6,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,4,2,3,6,7,1] => [4,5,3,2,6,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,4,5,2,3,6,7,1] => [4,2,5,3,6,8,7,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,3,2,5,6,7,1] => [4,3,2,5,6,8,7,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,3,4,2,5,6,7,1] => [2,4,3,5,6,8,7,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,4,2,3,5,6,7,1] => [3,4,2,5,6,8,7,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,3,2,4,5,6,7,1] => [3,2,4,5,6,8,7,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,8,7] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,7,5,4,3,2,8,1] => [1,6,5,4,3,2,8,7] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,6,4,3,2,8,1] => [2,6,5,4,3,1,8,7] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,5,7,4,3,2,8,1] => [2,1,6,5,4,3,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,4,5,3,2,8,1] => [3,6,5,4,2,1,8,7] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,5,4,7,3,2,8,1] => [3,2,1,6,5,4,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,5,7,3,2,8,1] => [2,3,1,6,5,4,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,5,3,4,2,8,1] => [4,6,5,3,2,1,8,7] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,6,3,4,2,8,1] => [4,2,6,5,3,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,3,4,2,8,1] => [4,2,1,6,5,3,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,3,4,2,8,1] => [1,4,2,6,5,3,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,3,5,2,8,1] => [4,3,6,5,2,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,4,3,6,2,8,1] => [4,3,2,6,5,1,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,5,3,6,2,8,1] => [2,4,3,6,5,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,3,4,6,2,8,1] => [3,4,2,6,5,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,4,3,7,2,8,1] => [4,3,2,1,6,5,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,5,3,7,2,8,1] => [2,4,3,1,6,5,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,6,3,7,2,8,1] => [2,1,4,3,6,5,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,3,4,7,2,8,1] => [3,4,2,1,6,5,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,4,7,2,8,1] => [3,1,4,2,6,5,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,5,7,2,8,1] => [3,2,4,1,6,5,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,6,7,2,8,1] => [3,2,1,4,6,5,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,3,6,7,2,8,1] => [1,3,2,4,6,5,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,5,6,7,2,8,1] => [2,1,3,4,6,5,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,6,5,4,2,3,8,1] => [5,6,4,3,2,1,8,7] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,7,5,4,2,3,8,1] => [5,1,6,4,3,2,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,6,4,2,3,8,1] => [5,2,6,4,3,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,4,2,3,8,1] => [5,2,1,6,4,3,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,4,5,2,3,8,1] => [5,3,6,4,2,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,5,2,3,8,1] => [5,3,1,6,4,2,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,4,6,2,3,8,1] => [5,3,2,6,4,1,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,5,6,2,3,8,1] => [2,5,3,6,4,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,4,7,2,3,8,1] => [5,3,2,1,6,4,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,5,7,2,3,8,1] => [2,5,3,1,6,4,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,6,7,2,3,8,1] => [2,1,5,3,6,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,5,3,2,4,8,1] => [5,4,6,3,2,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,5,3,2,4,8,1] => [5,4,1,6,3,2,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,2,3,4,8,1] => [4,1,5,2,6,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,4,3,2,5,8,1] => [5,4,3,1,6,2,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,3,2,4,5,8,1] => [4,3,5,6,2,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,3,2,4,5,8,1] => [4,3,5,1,6,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,3,2,6,8,1] => [5,4,3,2,6,1,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,4,3,5,2,6,8,1] => [3,2,5,4,6,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,2,3,6,8,1] => [4,5,3,2,6,1,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,5,2,3,6,8,1] => [4,2,5,3,6,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,3,2,4,6,8,1] => [4,3,5,2,6,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,2,5,6,8,1] => [4,3,2,5,6,1,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,2,3,5,6,8,1] => [3,4,2,5,6,1,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,5,4,3,2,7,8,1] => [5,4,3,2,1,6,8,7] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,4,6,3,2,7,8,1] => [2,1,5,4,3,6,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,3,4,2,7,8,1] => [3,5,4,2,1,6,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,3,6,2,7,8,1] => [3,2,1,5,4,6,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,5,6,2,7,8,1] => [2,1,3,5,4,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,5,4,2,3,7,8,1] => [4,5,3,2,1,6,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,5,2,3,7,8,1] => [4,2,5,3,1,6,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,6,2,3,7,8,1] => [4,2,1,5,3,6,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,5,6,2,3,7,8,1] => [1,4,2,5,3,6,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,5,3,2,4,7,8,1] => [4,3,5,2,1,6,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,3,4,7,8,1] => [3,4,1,5,2,6,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,3,2,6,7,8,1] => [4,3,2,1,5,6,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,5,3,2,6,7,8,1] => [1,4,3,2,5,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,3,4,2,6,7,8,1] => [2,4,3,1,5,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,3,5,2,6,7,8,1] => [2,1,4,3,5,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,2,3,6,7,8,1] => [3,4,2,1,5,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,5,2,3,6,7,8,1] => [3,1,4,2,5,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,2,4,6,7,8,1] => [3,2,4,1,5,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,2,5,6,7,8,1] => [3,2,1,4,5,6,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,2,3,5,6,7,8,1] => [2,3,1,4,5,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,2,4,5,6,7,8,1] => [2,1,3,4,5,6,8,7] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[8,7,6,5,4,3,1,2] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 27
[7,8,6,5,4,3,1,2] => [7,1,8,6,5,4,3,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,5,4,3,1,2] => [7,2,8,6,5,4,3,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,6,8,5,4,3,1,2] => [7,2,1,8,6,5,4,3] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[6,7,8,5,4,3,1,2] => [1,7,2,8,6,5,4,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,5,6,4,3,1,2] => [7,3,8,6,5,4,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,5,6,4,3,1,2] => [7,3,1,8,6,5,4,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,5,7,4,3,1,2] => [7,3,2,8,6,5,4,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,5,8,4,3,1,2] => [7,3,2,1,8,6,5,4] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,5,8,4,3,1,2] => [1,7,3,2,8,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,6,8,4,3,1,2] => [2,7,3,1,8,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,7,8,4,3,1,2] => [2,1,7,3,8,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,4,5,3,1,2] => [7,4,8,6,5,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,6,4,5,3,1,2] => [7,4,1,8,6,5,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,7,4,5,3,1,2] => [7,4,2,8,6,5,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[6,7,8,4,5,3,1,2] => [1,7,4,2,8,6,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,4,5,6,3,1,2] => [3,7,4,1,8,6,5,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,4,6,7,3,1,2] => [3,2,7,4,8,6,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,5,4,8,3,1,2] => [7,4,3,2,1,8,6,5] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,5,6,4,8,3,1,2] => [2,7,4,3,1,8,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,7,4,8,3,1,2] => [2,1,7,4,3,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,4,5,8,3,1,2] => [3,7,4,2,1,8,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,4,5,8,3,1,2] => [3,1,7,4,2,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,4,7,8,3,1,2] => [3,2,1,7,4,8,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,6,4,7,8,3,1,2] => [1,3,2,7,4,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,6,7,8,3,1,2] => [2,1,3,7,4,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,6,5,3,4,1,2] => [7,5,8,6,4,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,6,5,3,4,1,2] => [7,5,1,8,6,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,8,5,3,4,1,2] => [7,5,2,1,8,6,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,8,5,3,4,1,2] => [1,7,5,2,8,6,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,6,3,4,1,2] => [7,5,3,8,6,4,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,8,5,6,3,4,1,2] => [7,5,3,1,8,6,4,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,6,5,7,3,4,1,2] => [7,5,3,2,8,6,4,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,5,6,7,3,4,1,2] => [2,7,5,3,8,6,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,5,8,3,4,1,2] => [7,5,3,2,1,8,6,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,7,5,8,3,4,1,2] => [1,7,5,3,2,8,6,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,5,6,8,3,4,1,2] => [2,7,5,3,1,8,6,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,7,8,3,4,1,2] => [2,1,7,5,3,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,8,4,3,5,1,2] => [1,7,5,4,2,8,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,6,3,4,5,1,2] => [4,7,5,8,6,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,6,3,4,5,1,2] => [4,7,5,1,8,6,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,7,3,4,5,1,2] => [4,7,5,2,8,6,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,3,4,5,1,2] => [4,1,7,5,2,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,5,4,3,6,1,2] => [7,5,4,3,1,8,6,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,7,4,5,3,6,1,2] => [3,7,5,4,8,6,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,4,5,3,6,1,2] => [3,7,5,4,1,8,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,5,3,4,6,1,2] => [4,7,5,3,1,8,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,3,5,6,1,2] => [4,3,7,5,8,6,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,4,3,5,6,1,2] => [4,3,7,5,1,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,5,4,3,7,1,2] => [7,5,4,3,2,8,6,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,4,6,3,7,1,2] => [3,2,7,5,4,8,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,4,3,6,7,1,2] => [4,3,2,7,5,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,3,4,6,7,1,2] => [3,4,2,7,5,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,3,5,6,7,1,2] => [3,2,4,7,5,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,5,4,3,8,1,2] => [7,5,4,3,2,1,8,6] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,5,7,4,3,8,1,2] => [2,1,7,5,4,3,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,5,3,8,1,2] => [3,1,7,5,4,2,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,4,6,3,8,1,2] => [3,2,7,5,4,1,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,4,7,3,8,1,2] => [3,2,1,7,5,4,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,4,7,3,8,1,2] => [1,3,2,7,5,4,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,6,7,3,8,1,2] => [2,1,3,7,5,4,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,6,3,4,8,1,2] => [4,2,7,5,3,1,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,7,3,4,8,1,2] => [1,4,2,7,5,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,3,5,8,1,2] => [4,3,7,5,2,1,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,4,3,6,8,1,2] => [4,3,2,7,5,1,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,5,3,6,8,1,2] => [2,4,3,7,5,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,3,4,6,8,1,2] => [3,4,2,7,5,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,4,3,7,8,1,2] => [4,3,2,1,7,5,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,6,4,3,7,8,1,2] => [1,4,3,2,7,5,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,6,3,7,8,1,2] => [2,1,4,3,7,5,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,3,4,7,8,1,2] => [3,4,2,1,7,5,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,4,7,8,1,2] => [3,1,4,2,7,5,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,5,7,8,1,2] => [3,2,4,1,7,5,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,6,7,8,1,2] => [3,2,1,4,7,5,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,3,6,7,8,1,2] => [1,3,2,4,7,5,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,5,6,7,8,1,2] => [2,1,3,4,7,5,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,7,6,5,4,2,1,3] => [7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[7,8,6,5,4,2,1,3] => [7,6,1,8,5,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,7,5,4,2,1,3] => [7,6,2,8,5,4,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,6,8,5,4,2,1,3] => [7,6,2,1,8,5,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,7,8,5,4,2,1,3] => [1,7,6,2,8,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,6,4,2,1,3] => [7,6,3,8,5,4,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,5,7,4,2,1,3] => [7,6,3,2,8,5,4,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,5,8,4,2,1,3] => [7,6,3,2,1,8,5,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,5,7,8,4,2,1,3] => [2,1,7,6,3,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,6,4,5,2,1,3] => [7,6,4,8,5,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,6,7,4,5,2,1,3] => [7,6,4,2,8,5,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,7,4,5,6,2,1,3] => [3,7,6,4,8,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,5,4,7,2,1,3] => [7,6,4,3,2,8,5,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,6,4,5,7,2,1,3] => [3,7,6,4,2,8,5,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,5,4,8,2,1,3] => [7,6,4,3,2,1,8,5] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,7,5,4,8,2,1,3] => [1,7,6,4,3,2,8,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,5,7,4,8,2,1,3] => [2,1,7,6,4,3,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,4,6,8,2,1,3] => [3,2,7,6,4,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,6,5,4,1,2,3] => [6,7,1,8,5,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,8,5,4,1,2,3] => [6,7,2,1,8,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,5,4,1,2,3] => [6,1,7,2,8,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,5,6,4,1,2,3] => [6,7,3,1,8,5,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,5,7,4,1,2,3] => [6,7,3,2,8,5,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,6,7,4,1,2,3] => [6,2,7,3,8,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,5,8,4,1,2,3] => [6,7,3,2,1,8,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,5,8,4,1,2,3] => [6,1,7,3,2,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,8,4,1,2,3] => [6,2,7,3,1,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,7,8,4,1,2,3] => [6,2,1,7,3,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,6,7,8,4,1,2,3] => [1,6,2,7,3,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,4,5,1,2,3] => [6,7,4,8,5,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,7,4,5,1,2,3] => [6,7,4,2,8,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,4,5,1,2,3] => [6,1,7,4,2,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,5,4,6,1,2,3] => [6,7,4,3,8,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,4,6,1,2,3] => [6,7,4,3,1,8,5,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,5,6,1,2,3] => [6,3,7,4,8,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,4,5,6,1,2,3] => [6,3,7,4,1,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,6,4,7,1,2,3] => [6,2,7,4,3,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,5,7,1,2,3] => [6,3,7,4,2,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,4,6,7,1,2,3] => [6,3,2,7,4,8,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,5,6,7,1,2,3] => [2,6,3,7,4,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,6,5,4,8,1,2,3] => [6,7,4,3,2,1,8,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,7,5,4,8,1,2,3] => [6,1,7,4,3,2,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,6,4,8,1,2,3] => [6,2,7,4,3,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,4,8,1,2,3] => [6,2,1,7,4,3,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,4,8,1,2,3] => [1,6,2,7,4,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,5,8,1,2,3] => [6,3,7,4,2,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,5,8,1,2,3] => [6,3,1,7,4,2,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,4,6,8,1,2,3] => [6,3,2,7,4,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,5,6,8,1,2,3] => [2,6,3,7,4,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,4,7,8,1,2,3] => [6,3,2,1,7,4,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,6,4,7,8,1,2,3] => [1,6,3,2,7,4,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,5,7,8,1,2,3] => [2,6,3,1,7,4,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,6,7,8,1,2,3] => [2,1,6,3,7,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,6,5,3,2,1,4] => [7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[7,8,6,5,3,2,1,4] => [7,6,5,1,8,4,3,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,6,7,5,3,2,1,4] => [7,6,5,2,8,4,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,8,5,3,2,1,4] => [7,6,5,2,1,8,4,3] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,7,8,5,3,2,1,4] => [1,7,6,5,2,8,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,5,6,3,2,1,4] => [7,6,5,3,8,4,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,8,5,6,3,2,1,4] => [7,6,5,3,1,8,4,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,6,5,7,3,2,1,4] => [7,6,5,3,2,8,4,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,6,7,3,2,1,4] => [2,7,6,5,3,8,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,5,8,3,2,1,4] => [7,6,5,3,2,1,8,4] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,7,5,8,3,2,1,4] => [1,7,6,5,3,2,8,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,6,8,3,2,1,4] => [2,7,6,5,3,1,8,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,5,7,8,3,2,1,4] => [2,1,7,6,5,3,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,6,5,2,3,1,4] => [5,7,6,8,4,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,6,5,2,3,1,4] => [5,7,6,1,8,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,7,5,2,3,1,4] => [5,7,6,2,8,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,8,5,2,3,1,4] => [5,7,6,2,1,8,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,8,5,2,3,1,4] => [5,1,7,6,2,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,5,6,2,3,1,4] => [5,7,6,3,8,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,6,2,3,1,4] => [5,7,6,3,1,8,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,5,7,2,3,1,4] => [5,7,6,3,2,8,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,6,7,2,3,1,4] => [5,2,7,6,3,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,5,8,2,3,1,4] => [5,7,6,3,2,1,8,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,7,5,8,2,3,1,4] => [5,1,7,6,3,2,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,6,8,2,3,1,4] => [5,2,7,6,3,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,8,2,3,1,4] => [5,2,1,7,6,3,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,8,2,3,1,4] => [1,5,2,7,6,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,6,5,3,1,2,4] => [6,7,5,8,4,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,6,5,3,1,2,4] => [6,7,5,1,8,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,7,5,3,1,2,4] => [6,7,5,2,8,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,8,5,3,1,2,4] => [6,7,5,2,1,8,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,5,6,3,1,2,4] => [6,7,5,3,8,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,6,3,1,2,4] => [6,7,5,3,1,8,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,5,7,3,1,2,4] => [6,7,5,3,2,8,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,5,8,3,1,2,4] => [6,7,5,3,2,1,8,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,7,5,8,3,1,2,4] => [6,1,7,5,3,2,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,6,8,3,1,2,4] => [6,2,7,5,3,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,8,3,1,2,4] => [6,2,1,7,5,3,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,8,3,1,2,4] => [1,6,2,7,5,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,6,5,2,1,3,4] => [6,5,7,8,4,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,8,6,5,2,1,3,4] => [6,5,7,1,8,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,8,5,2,1,3,4] => [6,5,7,2,1,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,8,5,2,1,3,4] => [6,5,1,7,2,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,5,6,2,1,3,4] => [6,5,7,3,8,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,5,6,2,1,3,4] => [6,5,7,3,1,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,5,7,2,1,3,4] => [6,5,7,3,2,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,5,8,2,1,3,4] => [6,5,1,7,3,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,6,8,2,1,3,4] => [6,5,2,7,3,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,7,8,2,1,3,4] => [6,5,2,1,7,3,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,6,7,8,2,1,3,4] => [1,6,5,2,7,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,5,1,2,3,4] => [5,6,1,7,2,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,6,7,1,2,3,4] => [5,6,2,7,3,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,5,8,1,2,3,4] => [5,6,1,7,3,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,6,8,1,2,3,4] => [5,6,2,7,3,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,7,8,1,2,3,4] => [5,6,2,1,7,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,7,8,1,2,3,4] => [5,1,6,2,7,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,6,4,3,2,1,5] => [7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,8,6,4,3,2,1,5] => [7,6,5,4,1,8,3,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,6,7,4,3,2,1,5] => [7,6,5,4,2,8,3,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,6,8,4,3,2,1,5] => [7,6,5,4,2,1,8,3] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,7,8,4,3,2,1,5] => [1,7,6,5,4,2,8,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,7,6,3,4,2,1,5] => [4,7,6,5,8,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,6,3,4,2,1,5] => [4,7,6,5,1,8,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,8,3,4,2,1,5] => [4,1,7,6,5,2,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,6,4,2,3,1,5] => [5,7,6,4,8,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,4,2,3,1,5] => [5,1,7,6,4,2,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,6,3,2,4,1,5] => [5,4,7,6,8,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,7,8,3,2,4,1,5] => [5,4,1,7,6,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,2,3,4,1,5] => [4,5,1,7,6,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,6,4,3,1,2,5] => [6,7,5,4,8,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,4,3,1,2,5] => [6,1,7,5,4,2,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,6,3,4,1,2,5] => [6,4,7,5,8,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,6,3,4,1,2,5] => [6,4,7,5,1,8,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,3,4,1,2,5] => [6,4,7,5,2,8,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,8,3,4,1,2,5] => [6,4,1,7,5,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,6,4,2,1,3,5] => [6,5,7,4,8,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,6,4,2,1,3,5] => [6,5,7,4,1,8,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,4,2,1,3,5] => [6,5,7,4,2,8,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,8,4,2,1,3,5] => [6,5,1,7,4,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,4,1,2,3,5] => [5,6,1,7,4,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,6,3,2,1,4,5] => [6,5,4,7,8,3,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,8,6,3,2,1,4,5] => [6,5,4,7,1,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,8,3,2,1,4,5] => [6,5,4,7,2,1,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,3,2,1,4,5] => [6,5,4,1,7,2,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,7,6,2,3,1,4,5] => [4,6,5,7,8,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,6,8,2,3,1,4,5] => [4,6,5,7,2,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,2,3,1,4,5] => [4,6,5,1,7,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,6,3,1,2,4,5] => [5,6,4,7,8,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,8,6,3,1,2,4,5] => [5,6,4,7,1,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,7,3,1,2,4,5] => [5,6,4,7,2,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,6,8,3,1,2,4,5] => [5,6,4,7,2,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,3,1,2,4,5] => [5,6,4,1,7,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,6,2,1,3,4,5] => [5,4,6,7,8,3,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,8,6,2,1,3,4,5] => [5,4,6,7,1,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,7,2,1,3,4,5] => [5,4,6,7,2,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,8,2,1,3,4,5] => [5,4,6,1,7,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,5,4,3,2,1,6] => [7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,8,5,4,3,2,1,6] => [7,6,5,4,3,1,8,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[8,7,4,5,3,2,1,6] => [3,7,6,5,4,8,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,4,5,3,2,1,6] => [3,7,6,5,4,1,8,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,7,5,3,4,2,1,6] => [4,7,6,5,3,8,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,5,2,3,1,6] => [5,3,7,6,4,8,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,4,5,2,3,1,6] => [5,3,7,6,4,1,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,5,3,2,4,1,6] => [5,4,7,6,3,8,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,4,3,2,5,1,6] => [5,4,3,7,6,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,3,2,5,1,6] => [5,4,3,7,6,1,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,3,4,2,5,1,6] => [3,5,4,7,6,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,4,2,5,1,6] => [3,5,4,7,6,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,5,4,3,1,2,6] => [6,7,5,4,3,8,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,5,4,3,1,2,6] => [6,7,5,4,3,1,8,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,7,5,3,4,1,2,6] => [6,4,7,5,3,8,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,5,3,4,1,2,6] => [6,4,7,5,3,1,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,3,4,5,1,2,6] => [3,6,4,7,5,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,4,5,1,2,6] => [3,6,4,7,5,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,5,4,2,1,3,6] => [6,5,7,4,3,1,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,4,5,1,2,3,6] => [5,6,3,7,4,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,4,5,1,2,3,6] => [5,6,3,7,4,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,5,3,2,1,4,6] => [6,5,4,7,3,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,5,3,2,1,4,6] => [6,5,4,7,3,1,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,5,2,3,1,4,6] => [4,6,5,7,3,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,5,3,1,2,4,6] => [5,6,4,7,3,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,5,3,1,2,4,6] => [5,6,4,7,3,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,5,2,1,3,4,6] => [5,4,6,7,3,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,8,5,2,1,3,4,6] => [5,4,6,7,3,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,4,3,2,1,5,6] => [6,5,4,3,7,8,2,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,8,4,3,2,1,5,6] => [6,5,4,3,7,1,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,7,3,4,2,1,5,6] => [3,6,5,4,7,8,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,3,4,2,1,5,6] => [3,6,5,4,7,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,4,2,3,1,5,6] => [4,6,5,3,7,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,3,2,4,1,5,6] => [4,3,6,5,7,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,8,3,2,4,1,5,6] => [4,3,6,5,7,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,4,3,1,2,5,6] => [5,6,4,3,7,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,3,4,1,2,5,6] => [5,3,6,4,7,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,8,3,4,1,2,5,6] => [5,3,6,4,7,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,4,2,1,3,5,6] => [5,4,6,3,7,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,8,4,2,1,3,5,6] => [5,4,6,3,7,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,2,1,4,5,6] => [5,4,3,6,7,8,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,8,3,2,1,4,5,6] => [5,4,3,6,7,1,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,7,2,3,1,4,5,6] => [3,5,4,6,7,8,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,8,2,3,1,4,5,6] => [3,5,4,6,7,1,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,8,3,1,2,4,5,6] => [4,5,3,6,7,1,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,7,2,1,3,4,5,6] => [4,3,5,6,7,8,2,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,8,2,1,3,4,5,6] => [4,3,5,6,7,1,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,6,5,4,3,2,1,7] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[8,5,6,4,3,2,1,7] => [2,7,6,5,4,3,8,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,6,4,5,3,2,1,7] => [3,7,6,5,4,2,8,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,6,5,3,4,2,1,7] => [4,7,6,5,3,2,8,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,6,3,4,2,1,7] => [4,2,7,6,5,3,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,4,3,5,2,1,7] => [4,3,7,6,5,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,5,3,6,2,1,7] => [2,4,3,7,6,5,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,3,5,6,2,1,7] => [3,2,4,7,6,5,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,5,4,2,3,1,7] => [5,7,6,4,3,2,8,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,6,4,2,3,1,7] => [5,2,7,6,4,3,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,4,5,2,3,1,7] => [5,3,7,6,4,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,5,6,2,3,1,7] => [2,5,3,7,6,4,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,5,3,2,4,1,7] => [5,4,7,6,3,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,6,2,3,4,1,7] => [4,5,2,7,6,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,3,2,5,1,7] => [5,4,3,7,6,2,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,2,3,5,1,7] => [4,5,3,7,6,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,3,2,4,5,1,7] => [4,3,5,7,6,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,4,3,2,6,1,7] => [5,4,3,2,7,6,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,4,3,5,2,6,1,7] => [3,2,5,4,7,6,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,2,3,6,1,7] => [4,5,3,2,7,6,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,5,2,3,6,1,7] => [4,2,5,3,7,6,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,3,2,4,6,1,7] => [4,3,5,2,7,6,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,4,2,5,6,1,7] => [2,4,3,5,7,6,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,2,4,5,6,1,7] => [3,2,4,5,7,6,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,6,5,4,3,1,2,7] => [6,7,5,4,3,2,8,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,6,4,5,3,1,2,7] => [6,3,7,5,4,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,5,3,4,1,2,7] => [6,4,7,5,3,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,6,3,4,1,2,7] => [6,4,2,7,5,3,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,3,4,5,1,2,7] => [3,6,4,7,5,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,4,3,6,1,2,7] => [6,4,3,2,7,5,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,4,5,3,6,1,2,7] => [2,6,4,3,7,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,4,6,1,2,7] => [3,6,4,2,7,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,3,5,6,1,2,7] => [3,2,6,4,7,5,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,5,4,2,1,3,7] => [6,5,7,4,3,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,6,4,2,1,3,7] => [6,5,2,7,4,3,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,4,5,6,2,1,3,7] => [2,6,5,3,7,4,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,6,4,1,2,3,7] => [5,6,2,7,4,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,5,1,2,3,7] => [5,6,3,7,4,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,5,6,1,2,3,7] => [5,2,6,3,7,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,5,3,2,1,4,7] => [6,5,4,7,3,2,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,6,3,2,1,4,7] => [6,5,4,2,7,3,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,5,2,3,1,4,7] => [4,6,5,7,3,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,6,2,3,1,4,7] => [4,6,5,2,7,3,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,6,3,1,2,4,7] => [5,6,4,2,7,3,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,5,2,1,3,4,7] => [5,4,6,7,3,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,6,2,1,3,4,7] => [5,4,6,2,7,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,4,3,2,1,5,7] => [6,5,4,3,7,2,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,3,4,2,1,5,7] => [3,6,5,4,7,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,4,2,3,1,5,7] => [4,6,5,3,7,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,3,2,4,1,5,7] => [4,3,6,5,7,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,4,3,1,2,5,7] => [5,6,4,3,7,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,3,4,1,2,5,7] => [5,3,6,4,7,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,4,2,1,3,5,7] => [5,4,6,3,7,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,3,2,1,4,5,7] => [5,4,3,6,7,2,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,5,4,3,2,1,6,7] => [6,5,4,3,2,7,8,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,4,5,3,2,1,6,7] => [2,6,5,4,3,7,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,5,2,3,1,6,7] => [4,2,6,5,3,7,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,2,3,5,1,6,7] => [3,4,2,6,5,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,4,5,1,2,6,7] => [2,5,3,6,4,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,4,2,1,3,6,7] => [5,4,6,3,2,7,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,5,1,2,3,6,7] => [4,5,2,6,3,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,3,2,1,4,6,7] => [5,4,3,6,2,7,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,5,3,1,2,4,6,7] => [4,5,3,6,2,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,2,1,3,4,6,7] => [4,3,5,6,2,7,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,3,2,1,5,6,7] => [5,4,3,2,6,7,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,3,4,2,1,5,6,7] => [2,5,4,3,6,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,4,2,3,1,5,6,7] => [3,5,4,2,6,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,3,4,1,2,5,6,7] => [4,2,5,3,6,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,4,2,1,3,5,6,7] => [4,3,5,2,6,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,2,1,4,5,6,7] => [4,3,2,5,6,7,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,2,3,1,4,5,6,7] => [2,4,3,5,6,7,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,3,1,2,4,5,6,7] => [3,4,2,5,6,7,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,2,1,3,4,5,6,7] => [3,2,4,5,6,7,8,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[6,7,5,4,3,2,1,8] => [1,7,6,5,4,3,2,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,5,6,4,3,2,1,8] => [2,7,6,5,4,3,1,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,5,7,4,3,2,1,8] => [2,1,7,6,5,4,3,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,4,5,3,2,1,8] => [3,7,6,5,4,2,1,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,7,4,5,3,2,1,8] => [3,1,7,6,5,4,2,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,4,7,3,2,1,8] => [3,2,1,7,6,5,4,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,6,4,7,3,2,1,8] => [1,3,2,7,6,5,4,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,4,6,7,3,2,1,8] => [2,1,3,7,6,5,4,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,5,3,4,2,1,8] => [4,7,6,5,3,2,1,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,7,5,3,4,2,1,8] => [4,1,7,6,5,3,2,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,3,4,2,1,8] => [4,2,7,6,5,3,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,7,3,4,2,1,8] => [4,2,1,7,6,5,3,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,6,7,3,4,2,1,8] => [1,4,2,7,6,5,3,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,4,3,5,2,1,8] => [4,3,7,6,5,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,4,3,5,2,1,8] => [4,3,1,7,6,5,2,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,4,3,6,2,1,8] => [4,3,2,7,6,5,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,4,5,3,6,2,1,8] => [2,4,3,7,6,5,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,4,3,7,2,1,8] => [4,3,2,1,7,6,5,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,6,4,3,7,2,1,8] => [1,4,3,2,7,6,5,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,3,6,7,2,1,8] => [3,2,1,4,7,6,5,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,5,4,2,3,1,8] => [5,7,6,4,3,2,1,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,7,5,4,2,3,1,8] => [5,1,7,6,4,3,2,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,6,7,4,2,3,1,8] => [1,5,2,7,6,4,3,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,4,5,2,3,1,8] => [5,3,7,6,4,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,4,5,2,3,1,8] => [5,3,1,7,6,4,2,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,4,6,2,3,1,8] => [5,3,2,7,6,4,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,4,5,6,2,3,1,8] => [2,5,3,7,6,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,4,7,2,3,1,8] => [5,3,2,1,7,6,4,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,6,4,7,2,3,1,8] => [1,5,3,2,7,6,4,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,5,3,2,4,1,8] => [5,4,7,6,3,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,7,3,2,4,1,8] => [5,4,2,1,7,6,3,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,6,7,3,2,4,1,8] => [1,5,4,2,7,6,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,5,2,3,4,1,8] => [4,5,1,7,6,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,6,2,3,4,1,8] => [4,5,2,7,6,3,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,7,2,3,4,1,8] => [4,5,2,1,7,6,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,2,3,4,1,8] => [4,1,5,2,7,6,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,4,3,2,5,1,8] => [5,4,3,7,6,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,4,3,2,5,1,8] => [5,4,3,1,7,6,2,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,3,4,2,5,1,8] => [3,5,4,1,7,6,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,4,2,3,5,1,8] => [4,5,3,7,6,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,4,2,3,5,1,8] => [4,5,3,1,7,6,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,3,2,4,5,1,8] => [4,3,5,7,6,2,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,3,2,4,5,1,8] => [4,3,5,1,7,6,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,4,3,2,6,1,8] => [5,4,3,2,7,6,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,4,5,3,2,6,1,8] => [2,5,4,3,7,6,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,4,2,6,1,8] => [3,5,4,2,7,6,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,4,2,3,6,1,8] => [4,5,3,2,7,6,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,5,2,3,6,1,8] => [4,2,5,3,7,6,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,3,2,4,6,1,8] => [4,3,5,2,7,6,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,2,3,5,6,1,8] => [3,4,2,5,7,6,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,5,4,3,2,7,1,8] => [5,4,3,2,1,7,6,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,6,4,3,2,7,1,8] => [1,5,4,3,2,7,6,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,4,6,3,2,7,1,8] => [2,1,5,4,3,7,6,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,3,4,2,7,1,8] => [3,1,5,4,2,7,6,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,3,6,2,7,1,8] => [3,2,1,5,4,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,3,6,2,7,1,8] => [1,3,2,5,4,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,6,2,7,1,8] => [2,3,1,5,4,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,5,6,2,7,1,8] => [2,1,3,5,4,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,4,6,2,3,7,1,8] => [4,2,1,5,3,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,2,4,7,1,8] => [4,3,5,2,1,7,6,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,2,3,5,7,1,8] => [3,4,2,5,1,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,2,4,5,7,1,8] => [3,2,4,5,1,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,2,6,7,1,8] => [4,3,2,1,5,7,6,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,4,2,3,6,7,1,8] => [3,4,2,1,5,7,6,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,2,3,6,7,1,8] => [3,1,4,2,5,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,2,5,6,7,1,8] => [3,2,1,4,5,7,6,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,4,2,5,6,7,1,8] => [1,3,2,4,5,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,5,6,7,1,8] => [2,3,1,4,5,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,4,5,6,7,1,8] => [2,1,3,4,5,7,6,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,6,5,4,3,1,2,8] => [6,7,5,4,3,2,1,8] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,7,5,4,3,1,2,8] => [6,1,7,5,4,3,2,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,4,3,1,2,8] => [6,2,7,5,4,3,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,4,5,3,1,2,8] => [6,3,7,5,4,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,4,5,6,3,1,2,8] => [2,6,3,7,5,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,4,6,7,3,1,2,8] => [2,1,6,3,7,5,4,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,5,3,4,1,2,8] => [6,4,7,5,3,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,3,4,1,2,8] => [6,4,2,7,5,3,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,5,7,3,4,1,2,8] => [6,4,2,1,7,5,3,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,3,4,6,1,2,8] => [3,6,4,2,7,5,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,4,3,7,1,2,8] => [6,4,3,2,1,7,5,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,4,5,3,7,1,2,8] => [2,6,4,3,1,7,5,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,3,4,7,1,2,8] => [3,1,6,4,2,7,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,3,5,7,1,2,8] => [3,2,6,4,1,7,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,5,4,2,1,3,8] => [6,5,7,4,3,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,7,4,2,1,3,8] => [6,5,2,1,7,4,3,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,6,4,5,2,1,3,8] => [6,5,3,7,4,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,4,6,2,1,3,8] => [6,5,3,2,7,4,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,4,5,6,2,1,3,8] => [2,6,5,3,7,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,4,1,2,3,8] => [5,6,2,7,4,3,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,6,7,4,1,2,3,8] => [5,1,6,2,7,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,4,5,1,2,3,8] => [5,6,3,7,4,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,4,6,1,2,3,8] => [5,6,3,2,7,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,5,6,1,2,3,8] => [5,2,6,3,7,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,7,1,2,3,8] => [5,1,6,3,2,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,6,7,1,2,3,8] => [5,2,1,6,3,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,6,7,1,2,3,8] => [1,5,2,6,3,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,5,3,2,1,4,8] => [6,5,4,7,3,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,5,2,3,1,4,8] => [4,6,5,7,3,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,5,2,3,1,4,8] => [4,6,5,1,7,3,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,2,3,1,4,8] => [4,6,5,2,7,3,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,7,2,3,1,4,8] => [4,6,5,2,1,7,3,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,7,2,3,1,4,8] => [4,1,6,5,2,7,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,6,3,1,2,4,8] => [5,6,4,2,7,3,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,3,1,2,4,8] => [5,1,6,4,2,7,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,5,2,1,3,4,8] => [5,4,6,7,3,2,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,5,6,2,1,3,4,8] => [5,4,6,2,7,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,2,1,3,4,8] => [5,4,1,6,2,7,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,7,1,2,3,4,8] => [4,5,1,6,2,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,4,3,2,1,5,8] => [6,5,4,3,7,2,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,4,3,2,1,5,8] => [6,5,4,3,1,7,2,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,6,3,4,2,1,5,8] => [3,6,5,4,7,2,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,3,4,2,1,5,8] => [3,6,5,4,1,7,2,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,4,2,3,1,5,8] => [4,6,5,3,7,2,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,4,2,3,1,5,8] => [4,6,5,3,1,7,2,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,3,2,4,1,5,8] => [4,3,6,5,7,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,3,2,4,1,5,8] => [4,3,6,5,1,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,4,3,1,2,5,8] => [5,6,4,3,7,2,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,3,4,1,2,5,8] => [5,3,6,4,1,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,4,2,1,3,5,8] => [5,4,6,3,7,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,3,2,1,4,5,8] => [5,4,3,6,7,2,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,3,2,1,4,5,8] => [5,4,3,6,1,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,2,3,1,4,5,8] => [3,5,4,6,1,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,3,1,2,4,5,8] => [4,5,3,6,1,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,4,3,2,1,6,8] => [6,5,4,3,2,7,1,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,4,5,3,2,1,6,8] => [2,6,5,4,3,7,1,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,4,3,5,2,1,6,8] => [3,2,6,5,4,7,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,2,4,1,6,8] => [4,3,6,5,2,7,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,2,3,5,1,6,8] => [3,4,2,6,5,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,4,1,2,6,8] => [5,3,6,4,2,7,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,5,2,1,3,6,8] => [5,4,2,6,3,7,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,5,1,2,3,6,8] => [4,5,2,6,3,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,2,1,4,6,8] => [5,4,3,6,2,7,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,2,3,1,4,6,8] => [3,5,4,6,2,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,1,2,4,6,8] => [4,5,3,6,2,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,3,2,1,5,6,8] => [5,4,3,2,6,7,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,4,3,1,2,5,6,8] => [4,5,3,2,6,7,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,3,4,1,2,5,6,8] => [4,2,5,3,6,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,3,2,1,4,5,6,8] => [4,3,2,5,6,7,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,2,3,1,4,5,6,8] => [2,4,3,5,6,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,3,1,2,4,5,6,8] => [3,4,2,5,6,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,2,1,3,4,5,6,8] => [3,2,4,5,6,7,1,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[5,6,4,3,2,1,7,8] => [1,6,5,4,3,2,7,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,5,3,4,2,1,7,8] => [3,6,5,4,2,1,7,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,6,3,4,2,1,7,8] => [3,1,6,5,4,2,7,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,4,3,6,2,1,7,8] => [3,2,1,6,5,4,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,6,2,3,1,7,8] => [4,2,1,6,5,3,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,3,2,4,1,7,8] => [4,3,1,6,5,2,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,2,3,4,1,7,8] => [3,4,1,6,5,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,3,2,5,1,7,8] => [4,3,2,6,5,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,3,2,6,1,7,8] => [4,3,2,1,6,5,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,5,3,2,6,1,7,8] => [1,4,3,2,6,5,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,5,2,6,1,7,8] => [2,1,4,3,6,5,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,4,6,1,7,8] => [3,2,4,1,6,5,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,2,5,6,1,7,8] => [3,2,1,4,6,5,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,2,5,6,1,7,8] => [1,3,2,4,6,5,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,3,5,6,1,7,8] => [2,3,1,4,6,5,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,4,5,6,1,7,8] => [2,1,3,4,6,5,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,5,4,3,1,2,7,8] => [5,6,4,3,2,1,7,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,6,4,3,1,2,7,8] => [5,1,6,4,3,2,7,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,5,3,1,2,7,8] => [5,2,6,4,3,1,7,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,4,6,3,1,2,7,8] => [5,2,1,6,4,3,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,3,4,1,2,7,8] => [5,3,1,6,4,2,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,3,5,1,2,7,8] => [5,3,2,6,4,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,3,6,1,2,7,8] => [5,3,2,1,6,4,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,3,5,6,1,2,7,8] => [2,1,5,3,6,4,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,4,2,1,3,7,8] => [5,4,6,3,2,1,7,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,4,2,1,3,7,8] => [5,4,1,6,3,2,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,5,2,1,3,7,8] => [5,4,2,6,3,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,6,2,1,3,7,8] => [5,4,2,1,6,3,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,5,6,2,1,3,7,8] => [1,5,4,2,6,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,6,1,2,3,7,8] => [4,1,5,2,6,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,3,2,1,4,7,8] => [5,4,3,6,2,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,3,2,1,4,7,8] => [5,4,3,1,6,2,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,6,2,1,3,4,7,8] => [4,3,5,1,6,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,3,2,1,5,7,8] => [5,4,3,2,6,1,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,3,4,2,1,5,7,8] => [2,5,4,3,6,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,3,1,2,5,7,8] => [4,5,3,2,6,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,2,1,3,5,7,8] => [4,3,5,2,6,1,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,2,1,4,5,7,8] => [4,3,2,5,6,1,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,3,1,4,5,7,8] => [2,4,3,5,6,1,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,3,1,2,4,5,7,8] => [3,4,2,5,6,1,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,2,1,3,4,5,7,8] => [3,2,4,5,6,1,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[4,5,3,2,1,6,7,8] => [1,5,4,3,2,6,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,3,4,2,1,6,7,8] => [2,5,4,3,1,6,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,3,5,2,1,6,7,8] => [2,1,5,4,3,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,4,2,3,1,6,7,8] => [3,5,4,2,1,6,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,2,3,1,6,7,8] => [3,1,5,4,2,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,2,4,1,6,7,8] => [3,2,5,4,1,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,3,2,5,1,6,7,8] => [3,2,1,5,4,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,4,2,5,1,6,7,8] => [1,3,2,5,4,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,2,3,5,1,6,7,8] => [2,3,1,5,4,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,4,5,1,6,7,8] => [2,1,3,5,4,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,4,3,1,2,6,7,8] => [4,5,3,2,1,6,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,3,4,1,2,6,7,8] => [4,2,5,3,1,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,3,5,1,2,6,7,8] => [4,2,1,5,3,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,4,5,1,2,6,7,8] => [1,4,2,5,3,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,4,2,1,3,6,7,8] => [4,3,5,2,1,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,2,1,3,6,7,8] => [4,3,1,5,2,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,1,2,3,6,7,8] => [3,4,1,5,2,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,3,2,1,4,6,7,8] => [4,3,2,5,1,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,2,3,1,4,6,7,8] => [2,4,3,5,1,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,3,1,2,4,6,7,8] => [3,4,2,5,1,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,2,1,3,4,6,7,8] => [3,2,4,5,1,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[3,4,2,1,5,6,7,8] => [1,4,3,2,5,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,2,3,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,2,4,1,5,6,7,8] => [2,1,4,3,5,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,3,1,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,4,1,2,5,6,7,8] => [3,1,4,2,5,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,2,1,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[2,3,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,1,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[6,8,7,5,4,3,2,1] => [8,1,7,6,5,4,3,2] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[5,8,7,6,4,3,2,1] => [8,7,1,6,5,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[5,7,8,6,4,3,2,1] => [2,8,1,7,6,5,4,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,5,8,7,4,3,2,1] => [1,8,2,7,6,5,4,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,6,8,7,4,3,2,1] => [8,1,2,7,6,5,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,7,6,8,4,3,2,1] => [3,1,2,8,7,6,5,4] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,8,7,6,5,3,2,1] => [8,7,6,1,5,4,3,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[4,7,8,6,5,3,2,1] => [2,8,7,1,6,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,6,8,7,5,3,2,1] => [8,2,7,1,6,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,7,6,8,5,3,2,1] => [3,2,8,1,7,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,5,8,7,6,3,2,1] => [8,7,1,2,6,5,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,5,7,8,6,3,2,1] => [3,8,1,2,7,6,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,5,4,8,7,3,2,1] => [2,1,8,3,7,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,6,5,8,7,3,2,1] => [2,8,1,3,7,6,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,5,6,8,7,3,2,1] => [8,1,2,3,7,6,5,4] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,7,6,4,8,3,2,1] => [4,1,3,2,8,7,6,5] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,7,6,5,8,3,2,1] => [4,3,1,2,8,7,6,5] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,6,7,5,8,3,2,1] => [2,4,1,3,8,7,6,5] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,7,6,8,3,2,1] => [1,4,2,3,8,7,6,5] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,5,7,6,8,3,2,1] => [4,1,2,3,8,7,6,5] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,6,5,7,8,3,2,1] => [3,1,2,4,8,7,6,5] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,7,6,5,4,2,1] => [8,7,6,5,1,4,3,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[3,7,8,6,5,4,2,1] => [2,8,7,6,1,5,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,6,8,7,5,4,2,1] => [8,2,7,6,1,5,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,7,6,8,5,4,2,1] => [3,2,8,7,1,6,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,5,8,7,6,4,2,1] => [8,7,2,6,1,5,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,5,7,8,6,4,2,1] => [3,8,2,7,1,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,5,6,8,7,4,2,1] => [8,2,3,7,1,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,6,5,8,4,2,1] => [4,3,2,8,1,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,5,7,6,8,4,2,1] => [4,2,3,8,1,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,3,8,7,6,5,2,1] => [8,7,1,6,2,5,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,3,7,8,6,5,2,1] => [3,8,1,7,2,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,8,7,6,5,2,1] => [8,7,6,1,2,5,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,4,3,8,7,6,2,1] => [1,8,2,7,3,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,3,7,8,6,2,1] => [2,1,4,8,3,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,4,5,8,7,6,2,1] => [8,7,1,2,3,6,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,5,7,8,6,2,1] => [4,8,1,2,3,7,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,5,4,3,8,7,2,1] => [3,2,1,8,4,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,6,4,3,8,7,2,1] => [1,3,2,8,4,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,5,4,8,7,2,1] => [3,2,8,1,4,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,3,6,8,7,2,1] => [2,1,8,3,4,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,5,6,8,7,2,1] => [1,8,2,3,4,7,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,5,6,8,7,2,1] => [8,1,2,3,4,7,6,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,7,6,4,3,8,2,1] => [5,1,4,3,2,8,7,6] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,7,6,5,3,8,2,1] => [5,4,1,3,2,8,7,6] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,7,6,3,8,2,1] => [1,5,2,4,3,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,6,5,4,8,2,1] => [5,4,3,1,2,8,7,6] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,5,7,6,4,8,2,1] => [5,2,4,1,3,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,7,6,5,8,2,1] => [5,1,4,2,3,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,4,7,6,5,8,2,1] => [5,4,1,2,3,8,7,6] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,6,7,5,8,2,1] => [3,5,1,2,4,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,4,7,6,8,2,1] => [2,5,1,3,4,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,5,7,6,8,2,1] => [1,5,2,3,4,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,5,7,6,8,2,1] => [5,1,2,3,4,8,7,6] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,6,5,4,7,8,2,1] => [4,3,1,2,5,8,7,6] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,5,6,4,7,8,2,1] => [2,4,1,3,5,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,6,5,7,8,2,1] => [1,4,2,3,5,8,7,6] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,6,5,7,8,2,1] => [4,1,2,3,5,8,7,6] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[2,8,7,6,5,4,3,1] => [8,7,6,5,4,1,3,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[2,7,8,6,5,4,3,1] => [2,8,7,6,5,1,4,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[2,6,8,7,5,4,3,1] => [8,2,7,6,5,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,7,6,8,5,4,3,1] => [3,2,8,7,6,1,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,5,8,7,6,4,3,1] => [8,7,2,6,5,1,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,7,5,8,4,3,1] => [2,4,3,8,7,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,5,7,8,4,3,1] => [3,2,4,8,7,1,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,4,8,7,6,5,3,1] => [8,7,6,2,5,1,4,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,4,7,8,6,5,3,1] => [3,8,7,2,6,1,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,4,6,8,7,5,3,1] => [8,3,7,2,6,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,4,8,7,6,3,1] => [8,2,7,3,6,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,5,7,8,6,3,1] => [4,8,2,3,7,1,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,5,4,8,7,3,1] => [3,2,8,4,7,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,6,5,8,7,3,1] => [3,8,2,4,7,1,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,5,6,8,7,3,1] => [8,2,3,4,7,1,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,7,6,5,4,8,3,1] => [5,4,3,2,8,1,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,7,5,4,8,3,1] => [2,5,4,3,8,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,4,7,6,5,8,3,1] => [5,4,2,3,8,1,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,4,6,7,5,8,3,1] => [3,5,2,4,8,1,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,4,7,6,8,3,1] => [2,5,3,4,8,1,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,5,4,7,8,3,1] => [4,3,2,5,8,1,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,5,6,4,7,8,3,1] => [2,4,3,5,8,1,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,6,5,7,8,3,1] => [4,2,3,5,8,1,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,4,6,7,8,3,1] => [3,2,4,5,8,1,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,8,7,6,5,4,1] => [8,7,6,1,5,2,4,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,2,7,8,6,5,4,1] => [3,8,7,1,6,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,6,8,7,5,4,1] => [8,3,7,1,6,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,5,7,8,6,4,1] => [4,8,1,3,7,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,6,5,8,7,4,1] => [3,8,1,4,7,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,6,7,5,8,4,1] => [3,5,1,4,8,2,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,5,7,6,8,4,1] => [5,1,3,4,8,2,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,3,8,7,6,5,4,1] => [8,7,6,5,1,2,4,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,3,5,8,7,6,4,1] => [8,7,3,6,1,2,5,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,5,7,8,6,4,1] => [4,8,3,7,1,2,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,5,6,8,7,4,1] => [8,3,4,7,1,2,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,7,6,5,8,4,1] => [5,4,3,8,1,2,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,5,7,6,8,4,1] => [5,3,4,8,1,2,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,8,7,6,5,1] => [8,1,7,2,6,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,2,6,8,7,5,1] => [1,8,2,4,7,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,3,8,7,6,5,1] => [8,7,2,6,1,3,5,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,3,6,8,7,5,1] => [8,2,4,7,1,3,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,4,8,7,6,5,1] => [8,7,1,6,2,3,5,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,4,7,8,6,5,1] => [4,8,1,7,2,3,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,4,8,7,6,5,1] => [8,7,6,1,2,3,5,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,3,4,7,8,6,5,1] => [4,8,7,1,2,3,6,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,4,6,8,7,5,1] => [8,4,7,1,2,3,6,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,7,6,8,5,1] => [5,4,8,1,2,3,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,3,2,8,7,6,1] => [2,1,8,3,7,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,2,7,8,6,1] => [3,2,1,5,8,4,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,3,5,2,8,7,6,1] => [1,8,2,3,7,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,4,3,8,7,6,1] => [2,8,3,7,1,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,5,4,8,7,6,1] => [8,3,7,1,2,4,6,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,2,5,8,7,6,1] => [1,8,2,7,3,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,2,5,7,8,6,1] => [2,1,5,8,3,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,2,5,8,7,6,1] => [8,1,2,7,3,4,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,5,8,7,6,1] => [8,2,7,1,3,4,6,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,5,8,7,6,1] => [8,7,1,2,3,4,6,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,4,5,7,8,6,1] => [5,8,1,2,3,4,7,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,5,4,3,2,8,7,1] => [4,3,2,1,8,5,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,5,4,2,8,7,1] => [4,3,1,2,8,5,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,5,6,4,2,8,7,1] => [2,4,1,3,8,5,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,6,5,2,8,7,1] => [1,4,2,3,8,5,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,3,6,2,8,7,1] => [3,2,1,4,8,5,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,3,6,2,8,7,1] => [1,3,2,4,8,5,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,4,6,2,8,7,1] => [3,1,2,4,8,5,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,5,4,3,8,7,1] => [4,3,2,8,1,5,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,6,5,4,8,7,1] => [4,1,3,8,2,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,6,5,8,7,1] => [2,1,4,8,3,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,4,6,5,8,7,1] => [4,8,1,2,3,5,7,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,4,3,2,6,8,7,1] => [3,2,1,8,4,5,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,5,3,2,6,8,7,1] => [1,3,2,8,4,5,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,3,6,8,7,1] => [3,2,8,1,4,5,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,2,5,6,8,7,1] => [2,1,8,3,4,5,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,3,5,6,8,7,1] => [2,8,1,3,4,5,7,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,2,4,5,6,8,7,1] => [1,8,2,3,4,5,7,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,5,6,8,7,1] => [8,1,2,3,4,5,7,6] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[5,7,6,4,3,2,8,1] => [6,1,5,4,3,2,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,7,6,5,3,2,8,1] => [6,5,1,4,3,2,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,5,7,6,4,2,8,1] => [6,2,5,1,4,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,7,6,5,2,8,1] => [6,1,5,2,4,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,7,6,5,2,8,1] => [6,5,1,2,4,3,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,6,7,5,2,8,1] => [3,6,1,2,5,4,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,4,7,6,2,8,1] => [2,6,1,3,5,4,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,5,7,6,2,8,1] => [6,1,2,3,5,4,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,5,4,7,2,8,1] => [4,3,1,2,6,5,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,5,6,4,7,2,8,1] => [2,4,1,3,6,5,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,6,5,7,2,8,1] => [1,4,2,3,6,5,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,6,5,7,2,8,1] => [4,1,2,3,6,5,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,4,6,7,2,8,1] => [3,1,2,4,6,5,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,7,6,5,4,3,8,1] => [6,5,4,3,1,2,8,7] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,6,5,7,4,3,8,1] => [3,2,6,5,1,4,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,4,6,7,5,3,8,1] => [3,6,2,5,1,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,7,6,3,8,1] => [2,6,3,5,1,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,5,7,3,8,1] => [4,2,3,6,1,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,5,4,6,7,3,8,1] => [3,2,4,6,1,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,6,5,4,8,1] => [6,5,1,4,2,3,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,6,7,5,4,8,1] => [3,6,1,5,2,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,5,7,6,4,8,1] => [6,1,3,5,2,4,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,6,5,7,4,8,1] => [4,1,3,6,2,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,7,6,5,4,8,1] => [6,5,4,1,2,3,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,3,5,7,6,4,8,1] => [6,3,5,1,2,4,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,2,7,6,5,8,1] => [1,6,2,5,3,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,2,6,7,5,8,1] => [2,1,4,6,3,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,7,6,5,8,1] => [6,2,5,1,3,4,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,4,7,6,5,8,1] => [6,1,5,2,3,4,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,7,6,5,8,1] => [6,5,1,2,3,4,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,4,6,7,5,8,1] => [4,6,1,2,3,5,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,4,3,2,7,6,8,1] => [3,2,1,6,4,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,5,4,2,7,6,8,1] => [3,1,2,6,4,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,5,2,7,6,8,1] => [2,1,3,6,4,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,5,4,3,7,6,8,1] => [3,2,6,1,4,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,5,4,7,6,8,1] => [3,6,1,2,4,5,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,3,2,5,7,6,8,1] => [2,1,6,3,4,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,3,5,7,6,8,1] => [2,6,1,3,4,5,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,2,4,5,7,6,8,1] => [1,6,2,3,4,5,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,5,7,6,8,1] => [6,1,2,3,4,5,8,7] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,6,5,4,2,7,8,1] => [5,4,1,3,2,6,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,4,6,5,2,7,8,1] => [5,1,2,4,3,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,4,6,2,7,8,1] => [3,1,2,5,4,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,5,3,7,8,1] => [5,2,4,1,3,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,4,6,3,7,8,1] => [3,2,5,1,4,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,6,5,4,7,8,1] => [5,4,1,2,3,6,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,5,6,4,7,8,1] => [3,5,1,2,4,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,3,2,6,5,7,8,1] => [2,1,5,3,4,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,6,5,7,8,1] => [5,1,2,3,4,6,8,7] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,5,4,2,6,7,8,1] => [4,1,3,2,5,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,4,3,6,7,8,1] => [4,3,1,2,5,6,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,4,5,3,6,7,8,1] => [2,4,1,3,5,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,2,5,4,6,7,8,1] => [1,4,2,3,5,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,5,4,6,7,8,1] => [4,1,2,3,5,6,8,7] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,4,3,5,6,7,8,1] => [3,1,2,4,5,6,8,7] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[1,8,7,6,5,4,3,2] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[1,7,8,6,5,4,3,2] => [2,8,7,6,5,4,1,3] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,6,8,7,5,4,3,2] => [8,2,7,6,5,4,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,7,6,8,5,4,3,2] => [3,2,8,7,6,5,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,5,8,7,6,4,3,2] => [8,7,2,6,5,4,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,6,5,8,4,3,2] => [4,3,2,8,7,6,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,6,7,5,8,4,3,2] => [2,4,3,8,7,6,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,5,7,8,4,3,2] => [3,2,4,8,7,6,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,4,8,7,6,5,3,2] => [8,7,6,2,5,4,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,4,7,8,6,5,3,2] => [3,8,7,2,6,5,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,4,6,8,7,5,3,2] => [8,3,7,2,6,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,5,8,7,6,3,2] => [8,7,2,3,6,5,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,5,7,8,6,3,2] => [4,8,2,3,7,6,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,6,5,4,8,7,3,2] => [3,2,8,4,7,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,6,5,8,7,3,2] => [3,8,2,4,7,6,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,4,6,8,7,3,2] => [2,8,3,4,7,6,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,6,5,4,8,3,2] => [5,4,3,2,8,7,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,4,7,6,5,8,3,2] => [5,4,2,3,8,7,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,6,7,5,8,3,2] => [3,5,2,4,8,7,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,6,5,4,7,8,3,2] => [4,3,2,5,8,7,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,5,4,6,7,8,3,2] => [3,2,4,5,8,7,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,3,8,7,6,5,4,2] => [8,7,6,5,2,4,1,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,3,7,8,6,5,4,2] => [3,8,7,6,2,5,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,3,6,8,7,5,4,2] => [8,3,7,6,2,5,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,5,8,7,6,4,2] => [8,7,3,6,2,5,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,5,7,8,6,4,2] => [4,8,3,7,2,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,5,6,8,7,4,2] => [8,3,4,7,2,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,6,7,5,8,4,2] => [3,5,4,8,2,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,5,7,6,8,4,2] => [5,3,4,8,2,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,6,5,7,8,4,2] => [4,3,5,8,2,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,3,8,7,6,5,2] => [8,7,2,6,3,5,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,3,7,8,6,5,2] => [4,8,2,7,3,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,3,6,8,7,5,2] => [8,2,4,7,3,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,3,7,6,8,5,2] => [5,2,4,8,3,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,4,8,7,6,5,2] => [8,7,6,2,3,5,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,3,4,7,6,8,5,2] => [5,4,8,2,3,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,4,3,8,7,6,2] => [2,8,3,7,4,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,5,3,8,7,6,2] => [8,2,3,7,4,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,5,4,8,7,6,2] => [8,3,7,2,4,6,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,3,5,8,7,6,2] => [8,2,7,3,4,6,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,5,8,7,6,2] => [8,7,2,3,4,6,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,4,5,7,8,6,2] => [5,8,2,3,4,7,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,6,5,4,3,8,7,2] => [4,3,2,8,5,7,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,6,4,3,8,7,2] => [2,4,3,8,5,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,5,3,8,7,2] => [4,2,3,8,5,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,6,5,4,8,7,2] => [4,3,8,2,5,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,4,3,6,8,7,2] => [3,2,8,4,5,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,5,6,8,7,2] => [8,2,3,4,5,7,1,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,6,5,4,3,8,2] => [6,5,4,3,2,8,1,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,6,7,5,4,3,8,2] => [2,6,5,4,3,8,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,5,7,4,3,8,2] => [3,2,6,5,4,8,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,6,7,5,3,8,2] => [3,6,2,5,4,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,6,4,7,3,8,2] => [2,4,3,6,5,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,5,7,3,8,2] => [4,2,3,6,5,8,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,4,6,7,3,8,2] => [3,2,4,6,5,8,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,5,7,6,4,8,2] => [6,3,5,2,4,8,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,6,5,7,4,8,2] => [4,3,6,2,5,8,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,7,6,5,8,2] => [6,5,2,3,4,8,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,4,6,7,5,8,2] => [4,6,2,3,5,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,5,4,7,6,8,2] => [3,6,2,4,5,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,4,5,7,6,8,2] => [6,2,3,4,5,8,1,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,6,5,4,3,7,8,2] => [5,4,3,2,6,8,1,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,4,6,3,7,8,2] => [3,2,5,4,6,8,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,6,4,7,8,2] => [3,5,2,4,6,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,4,3,6,5,7,8,2] => [2,5,3,4,6,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,4,6,5,7,8,2] => [5,2,3,4,6,8,1,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,5,4,3,6,7,8,2] => [4,3,2,5,6,8,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,4,5,3,6,7,8,2] => [2,4,3,5,6,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,5,4,6,7,8,2] => [4,2,3,5,6,8,1,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,4,3,5,6,7,8,2] => [3,2,4,5,6,8,1,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,8,7,6,5,4,3] => [8,7,6,5,1,4,2,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,1,7,8,6,5,4,3] => [3,8,7,6,1,5,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,1,6,8,7,5,4,3] => [8,3,7,6,1,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,7,6,8,5,4,3] => [4,3,8,7,1,6,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,5,8,7,6,4,3] => [8,7,3,6,1,5,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,5,7,8,6,4,3] => [4,8,3,7,1,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,6,5,8,7,4,3] => [3,8,4,7,1,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,5,6,8,7,4,3] => [8,3,4,7,1,6,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,7,6,5,8,4,3] => [5,4,3,8,1,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,6,7,5,8,4,3] => [3,5,4,8,1,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,5,7,6,8,4,3] => [5,3,4,8,1,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,6,5,7,8,4,3] => [4,3,5,8,1,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,4,8,7,6,5,3] => [8,7,6,1,3,5,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,4,7,8,6,5,3] => [4,8,7,1,3,6,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,4,6,8,7,5,3] => [8,4,7,1,3,6,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,7,6,8,5,3] => [5,4,8,1,3,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,5,4,8,7,6,3] => [8,3,7,1,4,6,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,5,8,7,6,3] => [8,7,1,3,4,6,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,4,5,7,8,6,3] => [5,8,1,3,4,7,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,6,5,4,8,7,3] => [4,3,8,1,5,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,6,5,8,7,3] => [4,8,1,3,5,7,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,5,4,6,8,7,3] => [3,8,1,4,5,7,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,5,6,8,7,3] => [8,1,3,4,5,7,2,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,7,6,5,4,8,3] => [6,5,4,1,3,8,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,6,7,5,4,8,3] => [3,6,5,1,4,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,5,7,6,4,8,3] => [6,3,5,1,4,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,5,7,4,8,3] => [4,3,6,1,5,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,7,6,5,8,3] => [6,5,1,3,4,8,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,4,6,7,5,8,3] => [4,6,1,3,5,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,5,4,7,6,8,3] => [3,6,1,4,5,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,5,6,4,7,8,3] => [3,5,1,4,6,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,2,8,7,6,5,4,3] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,2,7,8,6,5,4,3] => [3,8,7,6,5,1,2,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,2,7,6,8,5,4,3] => [4,3,8,7,6,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,2,5,8,7,6,4,3] => [8,7,3,6,5,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,6,5,8,7,4,3] => [3,8,4,7,6,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,5,6,8,7,4,3] => [8,3,4,7,6,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,7,6,5,8,4,3] => [5,4,3,8,7,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,5,7,6,8,4,3] => [5,3,4,8,7,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,6,5,7,8,4,3] => [4,3,5,8,7,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,4,8,7,6,5,3] => [8,7,6,3,5,1,2,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,2,4,7,8,6,5,3] => [4,8,7,3,6,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,4,6,8,7,5,3] => [8,4,7,3,6,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,4,7,6,8,5,3] => [5,4,8,3,7,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,5,4,8,7,6,3] => [8,3,7,4,6,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,4,5,8,7,6,3] => [8,7,3,4,6,1,2,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,6,5,4,8,7,3] => [4,3,8,5,7,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,4,6,5,8,7,3] => [4,8,3,5,7,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,5,4,6,8,7,3] => [3,8,4,5,7,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,4,5,6,8,7,3] => [8,3,4,5,7,1,2,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,7,6,5,4,8,3] => [6,5,4,3,8,1,2,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,2,5,7,6,4,8,3] => [6,3,5,4,8,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,4,7,6,5,8,3] => [6,5,3,4,8,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,5,4,7,6,8,3] => [3,6,4,5,8,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,6,5,4,7,8,3] => [5,4,3,6,8,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,5,6,4,7,8,3] => [3,5,4,6,8,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,4,6,5,7,8,3] => [5,3,4,6,8,1,2,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,5,4,6,7,8,3] => [4,3,5,6,8,1,2,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,2,1,8,7,6,5,4] => [8,7,1,6,2,5,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,2,1,7,8,6,5,4] => [4,8,1,7,2,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,1,6,8,7,5,4] => [8,1,4,7,2,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,7,6,8,5,4] => [5,1,4,8,2,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,5,8,7,6,4] => [8,1,7,2,4,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,5,6,8,7,4] => [1,8,2,4,5,7,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,7,6,5,8,4] => [6,1,5,2,4,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,5,7,6,8,4] => [1,6,2,4,5,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,6,5,7,8,4] => [1,5,2,4,6,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,5,6,7,8,4] => [2,1,4,5,6,8,3,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,1,8,7,6,5,4] => [8,7,6,1,2,5,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,3,1,7,8,6,5,4] => [4,8,7,1,2,6,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,1,6,8,7,5,4] => [8,4,7,1,2,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,1,7,6,8,5,4] => [5,4,8,1,2,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,1,5,7,8,6,4] => [5,8,1,2,4,7,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,6,5,8,7,4] => [4,8,1,2,5,7,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,7,6,5,8,4] => [6,5,1,2,4,8,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,1,6,7,5,8,4] => [4,6,1,2,5,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,5,7,6,8,4] => [6,1,2,4,5,8,3,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,3,2,8,7,6,5,4] => [8,7,6,2,5,1,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,3,2,6,8,7,5,4] => [8,4,7,2,6,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,7,6,8,5,4] => [5,4,8,2,7,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,5,7,8,6,4] => [5,8,2,4,7,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,6,5,8,7,4] => [4,8,2,5,7,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,5,6,8,7,4] => [8,2,4,5,7,1,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,7,6,5,8,4] => [6,5,2,4,8,1,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,2,6,7,5,8,4] => [4,6,2,5,8,1,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,5,7,6,8,4] => [6,2,4,5,8,1,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,6,5,7,8,4] => [5,2,4,6,8,1,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,3,8,7,6,5,4] => [8,7,6,1,5,2,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,3,7,8,6,5,4] => [4,8,7,1,6,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,3,6,8,7,5,4] => [8,4,7,1,6,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,3,6,5,8,7,4] => [4,8,1,5,7,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,3,5,7,6,8,4] => [6,1,4,5,8,2,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,3,8,7,6,5,4] => [8,7,6,5,1,2,3,4] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,2,3,7,8,6,5,4] => [4,8,7,6,1,2,3,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,3,6,8,7,5,4] => [8,4,7,6,1,2,3,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,7,6,8,5,4] => [5,4,8,7,1,2,3,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,5,8,7,6,4] => [8,7,4,6,1,2,3,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,5,7,8,6,4] => [5,8,4,7,1,2,3,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,6,5,8,7,4] => [4,8,5,7,1,2,3,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,5,6,8,7,4] => [8,4,5,7,1,2,3,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,6,5,8,4] => [6,5,4,8,1,2,3,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,6,7,5,8,4] => [4,6,5,8,1,2,3,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,5,7,6,8,4] => [6,4,5,8,1,2,3,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,6,5,7,8,4] => [5,4,6,8,1,2,3,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,3,2,1,8,7,6,5] => [1,8,2,7,3,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,2,1,7,8,6,5] => [2,1,5,8,3,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,2,1,6,8,7,5] => [2,1,8,3,5,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,2,1,6,7,8,5] => [3,2,1,5,6,8,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,4,2,1,8,7,6,5] => [8,1,2,7,3,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,2,1,6,7,8,5] => [1,3,2,5,6,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,1,8,7,6,5] => [8,2,7,1,3,6,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,3,1,6,8,7,5] => [2,8,1,3,5,7,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,1,7,6,8,5] => [2,6,1,3,5,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,1,6,7,8,5] => [3,1,2,5,6,8,4,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,4,1,8,7,6,5] => [8,1,7,2,3,6,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,4,1,6,8,7,5] => [1,8,2,3,5,7,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,4,1,7,6,8,5] => [1,6,2,3,5,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,1,8,7,6,5] => [8,7,1,2,3,6,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,4,1,7,8,6,5] => [5,8,1,2,3,7,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,1,6,8,7,5] => [8,1,2,3,5,7,4,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,1,7,6,8,5] => [6,1,2,3,5,8,4,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,4,3,2,8,7,6,5] => [8,2,7,3,6,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,3,2,6,8,7,5] => [2,8,3,5,7,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,3,2,7,6,8,5] => [2,6,3,5,8,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,3,2,6,7,8,5] => [3,2,5,6,8,1,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,4,2,8,7,6,5] => [8,7,2,3,6,1,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,4,2,7,8,6,5] => [5,8,2,3,7,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,2,6,8,7,5] => [8,2,3,5,7,1,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,4,2,7,6,8,5] => [6,2,3,5,8,1,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,4,3,8,7,6,5] => [8,7,1,3,6,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,4,3,7,8,6,5] => [5,8,1,3,7,2,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,3,6,8,7,5] => [8,1,3,5,7,2,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,4,3,7,6,8,5] => [6,1,3,5,8,2,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,4,3,8,7,6,5] => [8,7,3,6,1,2,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,4,3,7,8,6,5] => [5,8,3,7,1,2,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,3,6,8,7,5] => [8,3,5,7,1,2,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,3,7,6,8,5] => [6,3,5,8,1,2,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,4,8,7,6,5] => [8,1,7,2,6,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,1,4,6,8,7,5] => [1,8,2,5,7,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,1,4,7,6,8,5] => [1,6,2,5,8,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,1,4,6,7,8,5] => [2,1,5,6,8,3,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,1,4,8,7,6,5] => [8,7,1,2,6,3,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,3,1,4,7,6,8,5] => [6,1,2,5,8,3,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,4,8,7,6,5] => [8,7,2,6,1,3,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,3,2,4,6,8,7,5] => [8,2,5,7,1,3,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,2,4,7,6,8,5] => [6,2,5,8,1,3,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,3,4,8,7,6,5] => [8,7,1,6,2,3,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,3,4,7,8,6,5] => [5,8,1,7,2,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,3,4,7,6,8,5] => [6,1,5,8,2,3,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,4,8,7,6,5] => [8,7,6,1,2,3,4,5] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,3,4,7,8,6,5] => [5,8,7,1,2,3,4,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,4,6,8,7,5] => [8,5,7,1,2,3,4,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,4,7,6,8,5] => [6,5,8,1,2,3,4,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[5,4,3,2,1,8,7,6] => [3,2,1,8,4,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,3,2,1,7,8,6] => [4,3,2,1,6,8,5,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,5,3,2,1,8,7,6] => [1,3,2,8,4,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,4,2,1,8,7,6] => [3,1,2,8,4,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,4,2,1,7,8,6] => [4,1,3,2,6,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,5,2,1,8,7,6] => [2,1,3,8,4,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,4,3,1,8,7,6] => [3,2,8,1,4,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,4,3,1,7,8,6] => [4,3,1,2,6,8,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,5,3,1,7,8,6] => [2,4,1,3,6,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,5,4,1,7,8,6] => [1,4,2,3,6,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,5,4,1,8,7,6] => [3,8,1,2,4,7,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,2,5,1,8,7,6] => [2,1,8,3,4,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,2,5,1,7,8,6] => [3,2,1,4,6,8,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,4,2,5,1,7,8,6] => [1,3,2,4,6,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,5,1,8,7,6] => [2,8,1,3,4,7,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,5,1,7,8,6] => [3,1,2,4,6,8,5,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,4,5,1,8,7,6] => [1,8,2,3,4,7,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,5,1,8,7,6] => [8,1,2,3,4,7,5,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,4,5,3,2,7,8,6] => [2,4,3,6,8,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,5,4,2,7,8,6] => [4,2,3,6,8,1,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,3,5,2,8,7,6] => [2,8,3,4,7,1,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,3,5,2,7,8,6] => [3,2,4,6,8,1,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,4,5,2,8,7,6] => [8,2,3,4,7,1,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,5,4,3,8,7,6] => [3,8,1,4,7,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,5,3,8,7,6] => [8,1,3,4,7,2,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,5,4,3,8,7,6] => [3,8,4,7,1,2,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,4,3,7,8,6] => [4,3,6,8,1,2,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,2,5,4,8,7,6] => [8,2,4,7,1,3,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,3,5,4,8,7,6] => [8,1,4,7,2,3,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,5,4,8,7,6] => [8,4,7,1,2,3,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,3,2,1,5,8,7,6] => [2,1,8,3,7,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,2,1,5,7,8,6] => [3,2,1,6,8,4,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,3,1,5,8,7,6] => [2,8,1,3,7,4,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,4,1,5,8,7,6] => [1,8,2,3,7,4,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,4,1,5,8,7,6] => [8,1,2,3,7,4,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,3,2,5,8,7,6] => [2,8,3,7,1,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,3,2,5,7,8,6] => [3,2,6,8,1,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,2,5,8,7,6] => [8,2,3,7,1,4,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,4,3,5,8,7,6] => [8,1,3,7,2,4,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,3,5,8,7,6] => [8,3,7,1,2,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,2,1,4,5,8,7,6] => [1,8,2,7,3,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,1,4,5,7,8,6] => [2,1,6,8,3,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,2,4,5,8,7,6] => [8,2,7,1,3,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,1,3,4,5,8,7,6] => [8,1,7,2,3,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,4,5,8,7,6] => [8,7,1,2,3,4,5,6] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,4,5,7,8,6] => [6,8,1,2,3,4,5,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[6,5,4,3,2,1,8,7] => [5,4,3,2,1,8,6,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,6,4,3,2,1,8,7] => [1,5,4,3,2,8,6,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,6,5,3,2,1,8,7] => [5,1,4,3,2,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,5,4,2,1,8,7] => [5,4,1,3,2,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,5,6,4,2,1,8,7] => [2,5,1,4,3,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,6,5,2,1,8,7] => [1,5,2,4,3,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,5,2,1,8,7] => [5,1,2,4,3,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,6,2,1,8,7] => [3,2,1,5,4,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,3,6,2,1,8,7] => [1,3,2,5,4,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,5,6,2,1,8,7] => [2,1,3,5,4,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,5,4,3,1,8,7] => [5,4,3,1,2,8,6,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,5,6,4,3,1,8,7] => [2,5,4,1,3,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,4,6,5,3,1,8,7] => [5,2,4,1,3,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,6,5,4,1,8,7] => [5,1,4,2,3,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,6,5,4,1,8,7] => [5,4,1,2,3,8,6,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,5,6,4,1,8,7] => [3,5,1,2,4,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,6,5,1,8,7] => [2,5,1,3,4,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,4,3,2,6,1,8,7] => [4,3,2,1,5,8,6,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,5,3,2,6,1,8,7] => [1,4,3,2,5,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,4,2,6,1,8,7] => [4,1,3,2,5,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,5,2,6,1,8,7] => [2,1,4,3,5,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,5,3,6,1,8,7] => [2,4,1,3,5,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,5,4,6,1,8,7] => [1,4,2,3,5,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,2,5,6,1,8,7] => [3,2,1,4,5,8,6,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,4,2,5,6,1,8,7] => [1,3,2,4,5,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,6,5,4,3,2,8,7] => [5,4,3,2,8,1,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,5,6,4,3,2,8,7] => [2,5,4,3,8,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,6,5,4,3,8,7] => [5,4,1,3,8,2,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,5,6,4,3,8,7] => [3,5,1,4,8,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,6,5,3,8,7] => [5,1,3,4,8,2,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,5,4,6,3,8,7] => [4,1,3,5,8,2,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,2,1,6,5,4,8,7] => [1,5,2,4,8,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,6,5,4,8,7] => [5,1,2,4,8,3,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,6,5,4,8,7] => [5,2,4,8,1,3,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,3,6,5,4,8,7] => [5,1,4,8,2,3,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,6,5,4,8,7] => [5,4,8,1,2,3,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,3,2,1,6,5,8,7] => [3,2,1,5,8,4,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,2,1,6,5,8,7] => [1,3,2,5,8,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,1,6,5,8,7] => [3,1,2,5,8,4,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,2,4,1,6,5,8,7] => [2,1,3,5,8,4,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,3,4,6,5,8,7] => [5,8,1,2,3,4,6,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[5,4,3,2,1,6,8,7] => [4,3,2,1,8,5,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,5,3,2,1,6,8,7] => [1,4,3,2,8,5,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,4,2,1,6,8,7] => [4,1,3,2,8,5,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,4,3,1,6,8,7] => [4,3,1,2,8,5,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,5,3,1,6,8,7] => [2,4,1,3,8,5,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,5,4,1,6,8,7] => [1,4,2,3,8,5,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,5,1,6,8,7] => [3,1,2,4,8,5,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,5,3,2,6,8,7] => [2,4,3,8,1,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,4,2,6,8,7] => [4,2,3,8,1,5,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,5,4,3,6,8,7] => [4,1,3,8,2,5,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,4,3,6,8,7] => [4,3,8,1,2,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,5,4,6,8,7] => [4,8,1,2,3,5,6,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[4,3,2,1,5,6,8,7] => [3,2,1,8,4,5,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,4,2,1,5,6,8,7] => [1,3,2,8,4,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,4,1,5,6,8,7] => [2,1,3,8,4,5,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,3,2,5,6,8,7] => [3,2,8,1,4,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,3,5,6,8,7] => [3,8,1,2,4,5,6,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,2,1,4,5,6,8,7] => [2,1,8,3,4,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,2,4,5,6,8,7] => [2,8,1,3,4,5,6,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,5,6,8,7] => [1,8,2,3,4,5,6,7] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[5,7,6,4,3,2,1,8] => [7,1,6,5,4,3,2,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[4,7,6,5,3,2,1,8] => [7,6,1,5,4,3,2,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,6,7,5,3,2,1,8] => [2,7,1,6,5,4,3,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,4,7,6,3,2,1,8] => [1,7,2,6,5,4,3,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,5,7,6,3,2,1,8] => [7,1,2,6,5,4,3,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,6,5,7,3,2,1,8] => [3,1,2,7,6,5,4,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,5,7,6,4,2,1,8] => [7,2,6,1,5,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,3,7,6,5,2,1,8] => [7,1,6,2,5,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,7,6,5,2,1,8] => [7,6,1,2,5,4,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,4,7,6,2,1,8] => [2,7,1,3,6,5,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,6,4,7,2,1,8] => [2,4,1,3,7,6,5,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,5,7,2,1,8] => [1,4,2,3,7,6,5,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,6,5,4,3,1,8] => [7,6,5,4,1,3,2,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,6,7,5,4,3,1,8] => [2,7,6,5,1,4,3,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,5,7,6,4,3,1,8] => [7,2,6,5,1,4,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,4,6,7,5,3,1,8] => [3,7,2,6,1,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,7,6,3,1,8] => [2,7,3,6,1,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,6,4,7,3,1,8] => [2,4,3,7,1,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,6,7,3,1,8] => [3,2,4,7,1,6,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,7,6,5,4,1,8] => [7,6,1,5,2,4,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,2,6,7,5,4,1,8] => [3,7,1,6,2,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,5,7,6,4,1,8] => [7,1,3,6,2,5,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,6,5,7,4,1,8] => [4,1,3,7,2,6,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,7,6,5,4,1,8] => [7,6,5,1,2,4,3,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,3,6,7,5,4,1,8] => [3,7,6,1,2,5,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,5,7,6,4,1,8] => [7,3,6,1,2,5,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,2,7,6,5,1,8] => [7,1,2,6,3,5,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,4,7,6,5,1,8] => [7,6,1,2,3,5,4,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,4,3,2,7,6,1,8] => [3,2,1,7,4,6,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,3,2,7,6,1,8] => [1,3,2,7,4,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,2,5,7,6,1,8] => [2,1,7,3,4,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,4,5,7,6,1,8] => [7,1,2,3,4,6,5,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,6,5,4,2,7,1,8] => [5,4,1,3,2,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,5,6,4,2,7,1,8] => [2,5,1,4,3,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,5,2,7,1,8] => [5,1,2,4,3,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,4,6,2,7,1,8] => [3,1,2,5,4,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,4,6,3,7,1,8] => [3,2,5,1,4,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,5,6,4,7,1,8] => [3,5,1,2,4,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,6,5,7,1,8] => [2,5,1,3,4,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,6,5,7,1,8] => [5,1,2,3,4,7,6,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,5,4,2,6,7,1,8] => [4,1,3,2,5,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,4,3,6,7,1,8] => [4,3,1,2,5,7,6,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,5,3,6,7,1,8] => [2,4,1,3,5,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,5,4,6,7,1,8] => [4,1,2,3,5,7,6,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,3,5,6,7,1,8] => [3,1,2,4,5,7,6,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,6,5,4,3,2,8] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,6,7,5,4,3,2,8] => [2,7,6,5,4,1,3,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,6,5,7,4,3,2,8] => [3,2,7,6,5,1,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,4,6,5,7,3,2,8] => [4,2,3,7,6,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,4,6,7,3,2,8] => [3,2,4,7,6,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,7,6,5,4,2,8] => [7,6,5,2,4,1,3,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,3,6,7,5,4,2,8] => [3,7,6,2,5,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,5,7,6,4,2,8] => [7,3,6,2,5,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,5,7,4,2,8] => [4,3,7,2,6,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,4,6,7,5,2,8] => [4,7,2,3,6,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,5,4,7,6,2,8] => [3,7,2,4,6,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,5,7,6,2,8] => [7,2,3,4,6,1,5,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,5,4,6,3,7,2,8] => [3,2,5,4,7,1,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,5,4,7,2,8] => [5,4,2,3,7,1,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,5,6,4,7,2,8] => [3,5,2,4,7,1,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,6,5,7,2,8] => [5,2,3,4,7,1,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,5,4,3,6,7,2,8] => [4,3,2,5,7,1,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,3,5,6,7,2,8] => [3,2,4,5,7,1,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,7,6,5,4,3,8] => [7,6,5,1,4,2,3,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,6,7,5,4,3,8] => [3,7,6,1,5,2,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,4,6,7,5,3,8] => [4,7,1,3,6,2,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,5,4,6,7,3,8] => [4,1,3,5,7,2,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,7,6,5,4,3,8] => [7,6,5,4,1,2,3,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,2,6,7,5,4,3,8] => [3,7,6,5,1,2,4,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,5,7,6,4,3,8] => [7,3,6,5,1,2,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,4,6,7,5,3,8] => [4,7,3,6,1,2,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,6,4,7,3,8] => [3,5,4,7,1,2,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,6,5,7,3,8] => [5,3,4,7,1,2,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,4,6,7,3,8] => [4,3,5,7,1,2,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,7,6,5,4,8] => [7,1,6,2,5,3,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,1,5,7,6,4,8] => [1,7,2,4,6,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,1,6,5,7,4,8] => [1,5,2,4,7,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,6,7,5,4,8] => [4,7,1,2,6,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,6,5,7,4,8] => [5,1,2,4,7,3,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,6,7,5,4,8] => [4,7,2,6,1,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,5,7,6,4,8] => [7,2,4,6,1,3,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,2,6,5,7,4,8] => [5,2,4,7,1,3,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,6,5,4,8] => [7,6,5,1,2,3,4,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,3,6,7,5,4,8] => [4,7,6,1,2,3,5,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,5,7,6,4,8] => [7,4,6,1,2,3,5,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,6,5,7,4,8] => [5,4,7,1,2,3,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,3,2,1,6,7,5,8] => [3,2,1,5,7,4,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,2,4,1,7,6,5,8] => [1,7,2,3,6,4,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,4,1,7,6,5,8] => [7,1,2,3,6,4,5,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,3,2,7,6,5,8] => [2,7,3,6,1,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,3,2,6,7,5,8] => [3,2,5,7,1,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,4,7,6,5,8] => [1,7,2,6,3,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,4,7,6,5,8] => [7,6,1,2,3,4,5,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,4,6,7,5,8] => [5,7,1,2,3,4,6,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[5,4,3,2,1,7,6,8] => [4,3,2,1,7,5,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,5,3,2,1,7,6,8] => [1,4,3,2,7,5,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,5,4,3,1,7,6,8] => [4,3,1,2,7,5,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,5,3,1,7,6,8] => [2,4,1,3,7,5,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,5,4,1,7,6,8] => [1,4,2,3,7,5,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,5,4,1,7,6,8] => [4,1,2,3,7,5,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,2,5,1,7,6,8] => [1,3,2,4,7,5,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,5,1,7,6,8] => [3,1,2,4,7,5,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,5,4,3,2,7,6,8] => [4,3,2,7,1,5,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,5,3,2,7,6,8] => [2,4,3,7,1,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,4,2,7,6,8] => [4,2,3,7,1,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,3,5,2,7,6,8] => [3,2,4,7,1,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,5,4,7,6,8] => [2,1,4,7,3,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,5,4,7,6,8] => [4,7,1,2,3,5,6,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,2,4,1,5,7,6,8] => [2,1,3,7,4,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,3,2,5,7,6,8] => [3,2,7,1,4,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,3,5,7,6,8] => [3,7,1,2,4,5,6,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,2,1,4,5,7,6,8] => [2,1,7,3,4,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,2,4,5,7,6,8] => [2,7,1,3,4,5,6,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,5,7,6,8] => [1,7,2,3,4,5,6,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,4,5,7,6,8] => [7,1,2,3,4,5,6,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[3,6,5,4,2,1,7,8] => [6,5,1,4,3,2,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,3,6,5,2,1,7,8] => [1,6,2,5,4,3,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,4,6,5,3,1,7,8] => [6,2,5,1,4,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,6,5,4,1,7,8] => [6,5,1,2,4,3,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,3,5,6,4,1,7,8] => [3,6,1,2,5,4,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,3,2,6,5,1,7,8] => [2,1,6,3,5,4,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,3,6,5,1,7,8] => [2,6,1,3,5,4,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,4,6,5,1,7,8] => [6,1,2,3,5,4,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,5,4,6,1,7,8] => [4,1,2,3,6,5,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,6,5,4,3,2,7,8] => [6,5,4,3,1,2,7,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,5,6,4,3,2,7,8] => [2,6,5,4,1,3,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,5,4,6,3,2,7,8] => [3,2,6,5,1,4,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,3,5,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,4,3,6,2,7,8] => [4,3,2,6,1,5,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,5,3,6,2,7,8] => [2,4,3,6,1,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,3,5,6,2,7,8] => [3,2,4,6,1,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,5,6,4,3,7,8] => [3,6,1,5,2,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,4,6,5,3,7,8] => [6,1,3,5,2,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,5,4,3,7,8] => [6,5,4,1,2,3,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,4,6,5,3,7,8] => [6,3,5,1,2,4,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,2,1,6,5,4,7,8] => [1,6,2,5,3,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,1,5,6,4,7,8] => [2,1,4,6,3,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,1,6,5,4,7,8] => [6,1,2,5,3,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,6,5,4,7,8] => [6,5,1,2,3,4,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,5,6,4,7,8] => [4,6,1,2,3,5,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[4,3,2,1,6,5,7,8] => [3,2,1,6,4,5,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,4,3,1,6,5,7,8] => [3,1,2,6,4,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,4,1,6,5,7,8] => [2,1,3,6,4,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,3,6,5,7,8] => [3,6,1,2,4,5,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,3,2,4,6,5,7,8] => [2,6,1,3,4,5,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,6,5,7,8] => [1,6,2,3,4,5,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,4,6,5,7,8] => [6,1,2,3,4,5,7,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[3,5,4,2,1,6,7,8] => [5,1,4,3,2,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,5,4,3,1,6,7,8] => [5,4,1,3,2,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,4,5,3,1,6,7,8] => [2,5,1,4,3,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,5,4,1,6,7,8] => [1,5,2,4,3,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,3,5,4,1,6,7,8] => [5,1,2,4,3,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,3,5,1,6,7,8] => [3,1,2,5,4,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,4,3,2,6,7,8] => [5,4,3,1,2,6,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,4,5,3,2,6,7,8] => [2,5,4,1,3,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,3,5,4,2,6,7,8] => [5,2,4,1,3,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,3,5,2,6,7,8] => [3,2,5,1,4,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,1,5,4,3,6,7,8] => [5,1,4,2,3,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,4,3,6,7,8] => [5,4,1,2,3,6,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,4,5,3,6,7,8] => [3,5,1,2,4,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,2,1,5,4,6,7,8] => [2,1,5,3,4,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,2,5,4,6,7,8] => [2,5,1,3,4,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,5,4,6,7,8] => [1,5,2,3,4,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,5,4,6,7,8] => [5,1,2,3,4,6,7,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[2,4,3,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,3,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,4,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,4,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,3,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,2,3,4,8,6,7,5] => [6,8,7,1,2,3,4,5] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,5,8,6,7,4] => [6,8,4,7,1,2,3,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,7,5,6,4,8] => [5,7,6,1,2,3,4,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,7,5,6,8,4] => [5,6,4,8,1,2,3,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,8,5,7,6,4] => [8,5,7,6,1,2,3,4] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,8,6,5,7,4] => [6,5,8,7,1,2,3,4] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,8,6,7,5,4] => [5,8,7,6,1,2,3,4] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,4,3,8,6,7,5] => [6,8,3,7,1,2,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,7,5,6,8,3] => [5,6,3,4,8,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,4,8,6,5,7,3] => [6,5,8,3,7,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,4,5,3,7,8] => [4,6,5,1,2,3,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,6,4,5,7,8,3] => [4,5,3,6,8,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,6,4,5,8,7,3] => [8,4,3,5,7,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,8,4,6,7,5,3] => [5,8,4,7,6,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,8,4,7,6,5,3] => [8,7,4,6,5,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,7,5,4,6,3,8] => [5,4,7,6,1,2,3,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,7,5,4,6,8,3] => [5,4,6,3,8,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,8,5,4,6,7,3] => [5,4,6,8,7,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,8,5,4,7,6,3] => [4,8,5,7,6,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,8,5,6,4,7,3] => [4,6,5,8,7,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,8,6,5,4,7,3] => [6,5,4,8,7,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,8,6,5,7,4,3] => [5,4,8,7,6,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,2,8,7,5,6,4,3] => [5,8,7,6,4,1,2,3] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,3,2,4,8,6,7,5] => [6,8,2,7,1,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,7,5,6,8,4] => [5,6,2,4,8,1,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,8,5,7,6,4] => [8,5,7,2,6,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,8,6,5,7,4] => [6,5,8,2,7,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,8,6,7,5,4] => [5,8,7,2,6,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,4,2,8,6,7,5] => [6,8,2,3,7,1,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,5,8,6,7,2] => [6,8,2,3,4,7,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,4,8,6,5,7,2] => [6,5,8,2,3,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,8,6,7,5,2] => [5,8,7,2,3,6,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,6,4,5,8,7,2] => [8,4,2,3,5,7,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,8,4,6,5,7,2] => [6,4,5,8,2,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,4,6,7,5,2] => [5,8,4,7,2,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,8,5,4,6,7,2] => [5,4,6,8,2,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,5,4,7,6,2] => [4,8,5,7,2,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,8,5,7,6,4,2] => [8,4,7,6,2,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,8,6,5,7,4,2] => [5,4,8,7,2,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,8,7,5,6,4,2] => [5,8,7,6,2,4,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,4,3,8,5,7,6,2] => [8,2,5,7,3,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,3,8,6,5,7,2] => [6,2,5,8,3,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,3,8,6,7,5,2] => [5,8,2,7,3,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,4,2,8,7,6] => [8,3,2,4,7,1,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,3,4,6,2,7,8] => [3,4,2,6,1,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,3,4,6,2,8,7] => [3,4,2,5,8,1,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,3,4,6,7,2,8] => [3,4,2,5,7,1,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,3,4,6,7,8,2] => [3,4,2,5,6,8,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,3,4,7,6,2,8] => [7,3,2,4,6,1,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,3,4,8,6,7,2] => [6,2,8,3,4,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,3,4,5,8,7,2] => [8,3,4,2,5,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,3,4,6,7,5,2] => [5,8,3,4,7,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,3,4,7,6,5,2] => [8,7,3,4,6,5,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,3,5,4,2,7,8] => [6,3,5,4,1,2,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,3,5,4,6,2,8] => [5,3,4,7,6,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,3,5,4,6,7,2] => [5,3,4,6,8,7,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,8,3,5,4,7,6,2] => [4,8,3,5,7,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,3,5,6,4,7,2] => [4,6,3,5,8,7,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,3,5,7,6,4,2] => [8,4,7,3,6,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,3,6,5,4,2,8] => [7,6,3,5,4,1,2,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,3,6,5,4,8,2] => [6,5,3,4,2,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,3,6,5,4,7,2] => [6,5,3,4,8,7,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,3,7,5,6,4,2] => [5,8,7,3,6,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,3,7,6,5,4,2] => [8,7,6,3,5,4,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,4,3,5,2,7,8] => [4,3,6,5,1,2,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,4,3,5,8,7,2] => [3,8,4,2,5,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,4,3,5,6,7,2] => [4,3,5,6,8,7,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,8,4,3,5,7,6,2] => [3,8,4,5,7,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,4,3,6,5,8,2] => [3,6,4,5,2,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,3,6,5,7,2] => [3,6,4,5,8,7,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,6,4,5,3,2,7,8] => [3,6,5,4,1,2,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,4,5,3,2,8,7] => [3,5,4,2,8,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,4,5,3,6,8,2] => [3,5,4,6,2,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,5,3,6,7,2] => [3,5,4,6,8,7,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,4,6,5,3,2,8] => [7,3,6,5,4,1,2,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,8,4,6,5,3,7,2] => [6,3,5,4,8,7,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,4,6,5,7,3,2] => [5,3,4,8,7,6,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,4,7,6,5,3,2] => [8,7,3,6,5,4,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,5,4,3,6,2,8] => [5,4,3,7,6,1,2,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,5,4,3,6,8,2] => [5,4,3,6,2,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,5,4,3,6,7,2] => [5,4,3,6,8,7,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,5,4,3,7,6,2] => [4,3,8,5,7,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,5,4,6,3,7,2] => [4,3,6,5,8,7,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,5,4,6,7,3,2] => [4,3,5,8,7,6,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,5,4,7,6,3,2] => [3,8,4,7,6,5,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,6,4,5,3,2,8] => [4,7,6,5,3,1,2,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,8,6,4,5,3,7,2] => [4,6,5,3,8,7,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,6,4,5,7,3,2] => [4,5,3,8,7,6,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,7,4,6,5,3,2] => [8,4,7,6,5,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,8,6,5,4,3,7,2] => [6,5,4,3,8,7,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,6,5,4,7,3,2] => [5,4,3,8,7,6,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,8,7,5,4,6,3,2] => [5,4,8,7,6,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,8,7,5,6,4,3,2] => [4,8,7,6,5,3,1,2] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[2,1,3,5,8,6,7,4] => [6,8,1,4,7,2,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,3,8,5,7,6,4] => [8,5,7,1,6,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,3,8,6,7,5,4] => [5,8,7,1,6,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,4,3,8,6,7,5] => [6,8,1,3,7,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,5,8,6,7,3] => [6,8,1,3,4,7,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,8,5,7,6,3] => [8,5,7,1,3,6,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,8,6,5,7,3] => [6,5,8,1,3,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,8,6,7,5,3] => [5,8,7,1,3,6,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,6,4,5,3,8,7] => [4,5,1,3,8,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,6,4,5,7,8,3] => [4,5,1,3,6,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,7,4,6,5,8,3] => [6,4,5,1,3,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,8,4,6,5,7,3] => [6,4,5,8,1,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,8,4,6,7,5,3] => [5,8,4,7,1,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,4,7,6,5,3] => [8,7,4,6,1,5,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,7,5,4,6,8,3] => [5,4,6,1,3,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,8,5,4,6,7,3] => [5,4,6,8,1,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,8,5,4,7,6,3] => [4,8,5,7,1,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,5,6,4,7,3] => [4,6,5,8,1,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,5,7,6,4,3] => [8,4,7,6,1,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,8,6,5,4,7,3] => [6,5,4,8,1,7,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,8,6,5,7,4,3] => [5,4,8,7,1,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,8,7,5,6,4,3] => [5,8,7,6,1,4,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,3,1,5,8,6,7,4] => [6,8,1,2,4,7,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,7,5,6,4,8] => [5,7,1,2,6,3,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,8,6,7,5,4] => [5,8,7,1,2,6,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,4,1,8,6,7,5] => [6,8,1,2,3,7,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,5,8,6,7,1] => [6,8,1,2,3,4,7,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,7,5,6,8,1] => [5,6,1,2,3,4,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,8,5,7,6,1] => [8,5,7,1,2,3,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,8,6,5,7,1] => [6,5,8,1,2,3,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,6,4,5,1,7,8] => [4,6,1,2,5,3,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,6,4,5,1,8,7] => [4,5,1,2,3,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,6,4,5,7,8,1] => [4,5,1,2,3,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,7,4,6,5,8,1] => [6,4,5,1,2,3,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,4,6,7,5,1] => [5,8,4,7,1,2,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,7,5,4,6,8,1] => [5,4,6,1,2,3,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,5,4,6,7,1] => [5,4,6,8,1,2,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,7,5,6,4,8,1] => [4,6,5,1,2,3,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,8,5,6,4,7,1] => [4,6,5,8,1,2,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,8,5,7,6,4,1] => [8,4,7,6,1,2,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,3,8,6,5,4,7,1] => [6,5,4,8,1,2,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,3,8,5,7,6,1] => [8,2,5,7,1,3,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,8,6,5,7,1] => [6,2,5,8,1,3,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,8,6,7,5,1] => [5,8,2,7,1,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,3,4,1,6,7,8] => [3,5,1,4,2,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,5,3,4,1,8,7,6] => [8,3,1,2,4,7,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,3,4,6,7,1,8] => [3,4,1,2,5,7,6,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,5,3,4,6,7,8,1] => [3,4,1,2,5,6,8,7] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,5,3,4,6,8,7,1] => [8,3,1,2,4,5,7,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,5,3,4,7,6,8,1] => [6,3,1,2,4,5,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,5,3,4,8,6,7,1] => [6,2,8,1,3,4,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,3,4,8,7,6,1] => [2,8,7,1,3,4,6,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,3,4,5,8,7,1] => [8,3,4,1,2,5,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,3,4,5,7,6,1] => [8,3,4,5,7,1,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,3,5,4,1,7,8] => [6,3,5,1,4,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,3,5,4,1,8,7] => [5,3,4,1,2,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,3,5,4,7,8,1] => [5,3,4,1,2,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,6,3,5,4,8,7,1] => [4,8,3,1,2,5,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,7,3,5,4,6,8,1] => [5,3,4,6,1,2,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,3,5,4,7,6,1] => [4,8,3,5,7,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,3,5,6,4,8,1] => [4,6,3,5,1,2,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,3,5,7,6,4,1] => [8,4,7,3,6,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,3,6,5,4,1,8] => [7,6,3,5,1,4,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,8,3,7,5,6,4,1] => [5,8,7,3,6,1,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,3,7,6,5,4,1] => [8,7,6,3,5,1,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,5,4,3,8,6,7,1] => [3,2,6,8,1,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,3,5,8,7,1] => [3,8,4,1,2,5,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,7,4,3,5,6,8,1] => [4,3,5,6,1,2,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,4,3,5,6,7,1] => [4,3,5,6,8,1,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,8,4,3,5,7,6,1] => [3,8,4,5,7,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,4,3,6,5,8,1] => [3,6,4,5,1,2,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,3,6,5,7,1] => [3,6,4,5,8,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,4,3,7,6,5,1] => [8,3,7,4,6,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,4,5,3,1,7,8] => [3,6,5,1,4,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,4,5,3,1,8,7] => [3,5,4,1,2,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,4,5,3,7,8,1] => [3,5,4,1,2,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,4,5,3,8,7,1] => [3,4,2,8,1,5,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,5,3,6,7,1] => [3,5,4,6,8,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,4,6,5,3,8,1] => [6,3,5,4,1,2,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,4,6,5,3,7,1] => [6,3,5,4,8,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,4,7,6,5,3,1] => [8,7,3,6,5,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,7,5,4,3,6,8,1] => [5,4,3,6,1,2,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,5,4,3,6,7,1] => [5,4,3,6,8,1,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,5,4,3,7,6,1] => [4,3,8,5,7,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,5,4,6,3,8,1] => [4,3,6,5,1,2,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,5,4,7,6,3,1] => [3,8,4,7,6,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,6,4,5,3,8,1] => [4,6,5,3,1,2,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,8,7,4,6,5,3,1] => [8,4,7,6,5,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,7,5,4,6,3,1] => [5,4,8,7,6,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,7,5,6,4,3,1] => [4,8,7,6,5,1,3,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,2,1,8,5,7,6,4] => [8,1,5,7,2,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,8,6,5,7,4] => [6,1,5,8,2,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,8,6,7,5,4] => [5,8,1,7,2,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,4,8,6,7,5,1] => [5,8,1,7,2,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,7,4,6,5,8,1] => [6,1,4,5,2,3,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,5,4,6,1,8] => [5,1,4,7,2,6,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,8,5,4,6,7,1] => [5,1,4,6,8,2,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,8,5,4,7,6,1] => [4,8,1,5,7,2,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,5,6,4,1,8] => [4,7,1,6,2,5,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,7,5,6,4,8,1] => [4,6,1,5,2,3,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,8,5,6,4,7,1] => [4,6,1,5,8,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,8,5,7,6,4,1] => [8,4,7,1,6,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,6,5,7,4,1] => [5,4,8,1,7,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,7,5,6,4,1] => [5,8,7,1,6,2,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,3,1,5,7,6,8] => [2,3,1,7,4,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,2,3,1,5,7,8,6] => [2,3,1,6,8,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,3,1,5,8,7,6] => [8,2,1,3,7,4,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,3,1,6,5,7,8] => [2,3,1,6,4,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,2,3,1,6,5,8,7] => [2,3,1,5,8,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,3,1,6,7,8,5] => [2,3,1,5,6,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,1,6,8,7,5] => [8,2,1,3,5,7,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,3,1,7,6,5,8] => [7,2,1,3,6,4,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,3,1,8,6,7,5] => [6,1,8,2,3,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,3,1,8,7,6,5] => [1,8,7,2,3,6,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,3,5,1,6,8,7] => [2,3,1,4,8,5,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,3,5,1,7,8,6] => [2,3,1,4,6,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,5,1,8,7,6] => [8,2,1,3,4,7,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,3,5,6,1,8,7] => [2,3,1,4,5,8,6,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,5,6,8,7,1] => [8,2,1,3,4,5,7,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,2,3,5,8,7,6,1] => [1,8,7,2,3,4,6,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,3,6,5,1,8,7] => [5,2,1,3,4,8,6,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,3,6,5,8,7,1] => [4,1,8,2,3,5,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,3,7,5,6,8,1] => [5,1,6,2,3,4,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,3,8,5,6,7,1] => [5,1,6,8,2,3,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,3,8,5,7,6,1] => [1,8,5,7,2,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,3,7,6,5,8,1] => [1,6,5,2,3,4,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,3,8,7,6,5,1] => [8,1,7,6,2,3,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,3,4,1,8,7,6] => [8,2,3,1,4,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,3,4,7,6,1,8] => [7,2,3,1,4,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,3,4,8,6,7,1] => [6,8,2,1,3,4,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,2,3,4,8,7,6,1] => [8,7,2,1,3,4,6,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,2,3,4,5,8,7,1] => [8,2,3,4,1,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,3,4,5,7,6,1] => [8,2,3,4,5,7,6,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,2,3,4,6,5,1,8] => [7,2,3,4,6,5,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,2,3,4,7,6,5,1] => [8,7,2,3,4,6,5,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,2,3,5,4,1,7,8] => [6,2,3,5,4,1,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,2,3,5,4,1,8,7] => [5,2,3,4,1,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,3,5,4,7,1,8] => [5,2,3,4,1,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,3,5,4,7,8,1] => [5,2,3,4,1,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,3,5,4,6,1,8] => [5,2,3,4,7,6,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,2,3,5,4,6,7,1] => [5,2,3,4,6,8,7,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,2,3,5,4,7,6,1] => [4,8,2,3,5,7,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,2,3,5,6,4,1,8] => [4,7,2,3,6,5,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,3,5,7,6,4,1] => [8,4,7,2,3,6,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,3,6,5,4,1,8] => [7,6,2,3,5,4,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,3,6,5,4,7,1] => [6,5,2,3,4,8,7,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,3,7,5,6,4,1] => [5,8,7,2,3,6,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,3,7,6,5,4,1] => [8,7,6,2,3,5,4,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,2,4,3,1,6,7,8] => [5,2,4,3,1,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,2,4,3,1,6,8,7] => [4,2,3,1,8,5,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,4,3,1,7,6,8] => [4,2,3,1,7,5,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,4,3,1,8,7,6] => [3,8,2,1,4,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,4,3,6,1,7,8] => [4,2,3,1,6,5,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,4,3,6,1,8,7] => [4,2,3,1,5,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,4,3,6,7,1,8] => [4,2,3,1,5,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,4,3,7,6,8,1] => [3,6,2,1,4,5,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,2,4,3,8,7,6,1] => [8,3,1,7,2,4,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,4,3,5,1,8,7] => [4,2,3,5,1,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,4,3,6,5,1,8] => [3,7,2,4,6,5,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,4,3,6,5,8,1] => [3,6,2,4,5,1,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,4,3,6,5,7,1] => [3,6,2,4,5,8,7,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,2,4,3,7,6,5,1] => [8,3,7,2,4,6,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,2,4,5,3,1,7,8] => [3,6,2,5,4,1,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,2,4,5,3,1,8,7] => [3,5,2,4,1,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,4,5,3,6,1,8] => [3,5,2,4,7,6,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,4,5,3,6,8,1] => [3,5,2,4,6,1,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,4,5,7,6,3,1] => [8,3,4,7,2,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,2,4,6,5,3,1,8] => [7,3,6,2,5,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,4,6,5,3,8,1] => [6,3,5,2,4,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,4,7,5,6,3,1] => [5,8,3,7,2,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,4,7,6,5,3,1] => [8,7,3,6,2,5,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,5,4,3,1,7,8] => [6,5,2,4,3,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,5,4,3,1,8,7] => [5,4,2,3,1,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,5,4,3,7,1,8] => [5,4,2,3,1,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,5,4,3,7,8,1] => [5,4,2,3,1,6,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,2,5,4,3,6,1,8] => [5,4,2,3,7,6,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,5,4,3,6,7,1] => [5,4,2,3,6,8,7,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,5,4,3,7,6,1] => [4,3,8,2,5,7,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,5,4,6,3,8,1] => [4,3,6,2,5,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,6,4,5,3,1,8] => [4,7,6,2,5,3,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,6,4,5,3,8,1] => [4,6,5,2,3,1,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,6,4,5,3,7,1] => [4,6,5,2,3,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,4,5,7,3,1] => [4,5,3,8,2,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,7,4,6,5,3,1] => [8,4,7,6,2,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,6,5,4,3,1,8] => [7,6,5,2,4,3,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,2,6,5,4,3,8,1] => [6,5,4,2,3,1,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,2,6,5,4,3,7,1] => [6,5,4,2,3,8,7,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,2,6,5,4,7,3,1] => [5,4,3,8,2,7,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,2,7,5,4,6,3,1] => [5,4,8,7,2,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,2,7,5,6,4,3,1] => [4,8,7,6,2,5,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,2,7,6,5,4,3,1] => [8,7,6,5,2,4,3,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[4,3,2,1,8,6,7,5] => [2,1,6,8,3,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,2,7,5,6,8,1] => [2,1,5,6,3,4,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,8,5,6,7,1] => [2,1,5,6,8,3,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,2,8,5,7,6,1] => [1,8,2,5,7,3,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,2,4,1,6,8,7] => [3,2,4,1,8,5,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,4,1,7,6,8] => [3,2,4,1,7,5,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,4,1,8,7,6] => [2,8,3,1,4,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,2,4,6,1,8,7] => [3,2,4,1,5,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,4,7,6,1,8] => [2,7,3,1,4,6,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,3,2,4,6,5,7,1] => [2,6,3,4,5,8,7,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,3,2,4,7,6,5,1] => [8,2,7,3,4,6,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,3,2,5,4,1,7,8] => [2,6,3,5,4,1,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,2,5,4,1,8,7] => [2,5,3,4,1,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,2,5,4,7,1,8] => [2,5,3,4,1,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,2,5,4,6,1,8] => [2,5,3,4,7,6,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,2,5,7,6,4,1] => [8,2,4,7,3,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,2,6,5,7,4,1] => [5,2,4,8,3,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,2,7,5,6,4,1] => [5,8,2,7,3,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,2,7,6,5,4,1] => [8,7,2,6,3,5,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,3,4,2,1,6,8,7] => [2,4,3,1,8,5,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,4,2,1,7,8,6] => [2,4,3,1,6,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,4,2,1,8,7,6] => [2,3,1,8,4,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,2,6,1,8,7] => [2,4,3,1,5,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,4,2,7,6,1,8] => [2,3,1,7,4,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,2,7,6,8,1] => [2,3,1,6,4,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,4,2,8,6,7,1] => [2,3,1,6,8,4,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,4,2,5,1,8,7] => [2,4,3,5,1,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,4,5,7,6,2,1] => [8,2,3,4,7,6,5,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,3,4,6,5,2,1,8] => [7,2,3,6,5,4,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,3,4,7,6,5,2,1] => [8,7,2,3,6,5,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,3,5,4,2,1,8,7] => [5,2,4,3,1,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,5,4,2,7,1,8] => [5,2,4,3,1,7,6,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,5,4,2,7,8,1] => [5,2,4,3,1,6,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,3,5,4,2,8,7,1] => [4,2,3,1,8,5,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,5,4,2,6,1,8] => [5,2,4,3,7,6,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,5,4,2,7,6,1] => [4,2,3,8,5,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,3,5,4,6,2,1,8] => [4,2,3,7,6,5,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,3,5,4,6,2,8,1] => [4,2,3,6,5,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,5,4,6,7,2,1] => [4,2,3,5,8,7,6,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,3,5,4,7,6,2,1] => [3,8,2,4,7,6,5,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,3,6,4,5,2,1,8] => [4,7,2,6,5,3,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,3,6,4,5,2,8,1] => [4,6,2,5,3,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,6,4,5,2,7,1] => [4,6,2,5,3,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,7,4,6,5,2,1] => [8,4,7,2,6,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,3,6,5,4,2,1,8] => [7,6,2,5,4,3,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,3,6,5,4,2,8,1] => [6,5,2,4,3,1,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,6,5,4,2,7,1] => [6,5,2,4,3,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,3,7,5,4,6,2,1] => [5,4,8,2,7,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,7,5,6,4,2,1] => [4,8,7,2,6,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,3,7,6,5,4,2,1] => [8,7,6,2,5,4,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[5,4,3,2,8,6,7,1] => [3,2,1,6,8,4,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,3,2,5,1,8,7] => [4,3,2,5,1,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,3,2,6,5,1,8] => [3,2,7,4,6,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,3,2,6,5,8,1] => [3,2,6,4,5,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,3,2,6,7,5,1] => [3,2,5,8,4,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,3,2,7,6,5,1] => [2,8,3,7,4,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,3,5,2,1,8,7] => [3,2,5,4,1,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,3,5,2,7,6,1] => [3,2,4,8,5,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,4,3,6,5,2,1,8] => [2,7,3,6,5,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,4,3,6,5,2,8,1] => [2,6,3,5,4,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,3,7,6,5,2,1] => [8,2,7,3,6,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,3,4,2,1,8,7] => [3,5,4,2,1,8,6,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,5,3,4,2,7,6,1] => [3,4,2,8,5,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,3,4,7,6,2,1] => [8,3,2,4,7,6,5,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,3,4,6,5,2,1] => [8,3,4,7,6,5,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,6,3,5,4,2,1,8] => [7,3,6,5,4,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,3,5,4,2,8,1] => [6,3,5,4,2,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,3,5,4,2,7,1] => [6,3,5,4,2,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,3,5,4,6,2,1] => [5,3,4,8,7,6,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,3,5,6,4,2,1] => [4,8,3,7,6,5,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,3,6,5,4,2,1] => [8,7,3,6,5,4,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,4,3,2,7,6,1] => [4,3,2,8,5,7,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,4,3,6,5,2,1] => [3,8,4,7,6,5,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,4,6,5,3,2,1] => [8,3,7,6,5,4,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[2,4,1,3,6,5,8,7] => [5,1,2,8,3,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,4,6,3,5,8,7] => [8,1,3,5,2,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,6,3,5,8,7] => [2,8,1,5,3,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,4,6,1,3,5,8,7] => [2,8,1,4,5,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,3,6,8,5,7] => [5,1,2,7,8,3,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,4,6,3,8,5,7] => [7,1,3,4,8,2,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,6,3,8,5,7] => [2,7,1,4,8,3,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,6,8,3,5,7] => [6,1,3,4,7,8,2,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,1,6,8,3,5,7] => [2,6,1,4,7,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,1,6,3,5,7,8] => [5,1,2,6,3,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,6,1,3,5,7,8] => [4,1,2,5,6,3,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,4,6,3,7,5,8] => [7,1,3,5,2,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,6,3,7,5,8] => [2,7,1,5,3,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,4,6,1,3,7,5,8] => [2,7,1,4,5,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,6,7,3,5,8] => [6,1,3,4,7,2,5,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,6,7,3,5,8] => [2,6,1,4,7,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,3,6,7,8,5] => [5,1,2,6,8,3,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,4,6,3,7,8,5] => [6,1,3,4,8,2,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,6,3,7,8,5] => [2,6,1,4,8,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,6,7,3,8,5] => [4,8,1,3,6,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,6,1,7,3,8,5] => [8,2,6,1,4,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,6,7,1,3,8,5] => [8,2,5,1,3,6,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,6,7,8,3,5] => [4,7,1,3,5,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,3,7,5,8,6] => [8,1,3,6,2,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,3,7,5,8,6] => [2,8,1,6,3,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,4,7,3,5,8,6] => [8,1,3,5,6,2,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,7,3,5,8,6] => [2,8,1,5,6,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,7,1,3,5,8,6] => [2,8,1,4,5,6,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,3,7,8,5,6] => [7,1,3,5,8,2,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,3,7,8,5,6] => [2,7,1,5,8,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,7,8,3,5,6] => [6,7,1,3,4,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,1,5,3,7,6,8] => [4,1,2,7,3,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,5,1,7,3,6,8] => [2,6,1,3,7,4,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,3,5,7,8,6] => [6,1,2,8,3,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,5,3,7,8,6] => [4,1,2,6,8,3,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,3,7,8,6] => [2,6,1,3,8,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,5,7,3,8,6] => [8,1,3,4,6,2,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,5,7,3,8,6] => [2,8,1,4,6,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,5,7,8,3,6] => [7,1,3,4,5,8,2,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,1,3,8,5,6,7] => [6,1,2,7,8,3,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,8,3,5,6,7] => [5,1,2,6,7,8,3,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,8,1,3,5,6,7] => [4,1,2,5,6,7,8,3] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,4,1,5,3,8,6,7] => [4,1,2,7,8,3,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,8,3,6,7] => [2,6,1,3,7,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,5,8,1,3,6,7] => [2,5,1,3,6,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,1,5,3,6,8,7] => [4,1,2,8,3,5,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,5,6,3,8,7] => [4,1,2,5,8,3,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,6,3,8,7] => [2,5,1,3,8,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,5,6,8,3,7] => [4,1,2,5,7,8,3,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,5,1,6,8,3,7] => [2,5,1,3,7,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,1,5,3,6,7,8] => [5,1,3,2,4,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,4,5,1,3,6,7,8] => [4,1,2,5,3,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,1,5,6,3,7,8] => [4,1,2,6,3,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,4,5,1,6,3,7,8] => [2,6,1,4,3,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,4,5,6,1,3,7,8] => [2,5,1,3,6,4,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,5,6,7,3,8] => [4,1,2,5,7,3,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,5,1,6,7,3,8] => [2,5,1,3,7,4,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,5,6,7,8,3] => [4,1,2,5,6,8,3,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,5,1,6,7,8,3] => [2,5,1,3,6,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,5,3,6,4,8,7] => [5,1,3,8,2,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,5,1,3,6,4,8,7] => [5,8,1,3,2,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,5,6,3,4,8,7] => [3,8,1,5,2,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,5,1,6,3,4,8,7] => [8,5,1,3,2,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,5,6,1,3,4,8,7] => [8,4,1,2,5,3,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,5,3,6,8,4,7] => [5,1,3,7,8,2,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,5,1,3,6,8,4,7] => [5,7,1,2,8,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,6,3,8,4,7] => [7,4,1,2,8,3,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,5,6,8,3,4,7] => [3,6,1,4,7,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,5,1,6,8,3,4,7] => [6,4,1,2,7,8,3,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,6,8,1,3,4,7] => [5,2,6,1,3,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,1,3,6,4,7,8] => [6,1,3,4,2,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,5,6,3,4,7,8] => [5,1,3,6,2,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,5,1,6,3,4,7,8] => [5,6,1,3,2,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,5,3,6,7,4,8] => [5,1,3,7,2,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,5,6,3,7,4,8] => [3,7,1,5,2,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,5,1,6,3,7,4,8] => [7,5,1,3,2,4,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,5,6,1,3,7,4,8] => [7,4,1,2,5,3,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,5,6,7,3,4,8] => [3,6,1,4,7,2,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,6,7,3,4,8] => [6,4,1,2,7,3,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,6,1,7,3,4,8] => [6,2,7,1,4,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,5,3,6,7,8,4] => [5,1,3,6,8,2,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,5,1,3,6,7,8,4] => [5,6,1,2,8,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,5,6,3,7,8,4] => [3,6,1,4,8,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,6,3,7,8,4] => [6,4,1,2,8,3,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,6,1,3,7,8,4] => [6,2,8,1,4,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,1,6,7,3,8,4] => [4,2,8,1,6,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,1,6,7,8,3,4] => [4,2,7,1,5,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,6,1,7,8,3,4] => [2,7,5,1,3,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,6,7,1,8,3,4] => [2,7,3,8,1,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,6,7,8,1,3,4] => [2,6,3,7,1,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,5,3,7,4,8,6] => [3,8,1,6,2,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,5,1,3,7,4,8,6] => [8,6,1,3,2,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,5,7,3,4,8,6] => [3,8,1,5,6,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,7,3,4,8,6] => [8,5,1,2,6,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,7,1,3,4,8,6] => [8,4,1,2,5,6,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,5,3,7,8,4,6] => [3,7,1,5,8,2,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,3,7,8,4,6] => [7,5,1,2,8,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,1,7,3,8,4,6] => [7,2,8,1,5,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,7,1,3,8,4,6] => [7,2,8,1,4,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,1,7,8,3,4,6] => [6,2,7,1,4,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,7,1,8,3,4,6] => [6,2,7,8,1,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,7,8,1,3,4,6] => [5,2,6,7,1,3,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,5,7,3,4,6,8] => [5,1,3,6,7,2,4,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,5,1,4,7,6,8] => [7,1,2,4,3,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,5,7,1,4,6,8] => [5,1,2,3,6,7,4,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,5,1,7,4,8,6] => [3,8,1,2,6,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,5,7,1,4,8,6] => [3,8,1,2,5,6,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,5,3,8,4,6,7] => [6,1,3,7,8,2,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,5,1,3,8,4,6,7] => [6,7,1,2,8,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,5,8,3,4,6,7] => [5,1,3,6,7,8,2,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,5,1,8,3,4,6,7] => [5,6,1,2,7,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,5,8,1,3,4,6,7] => [4,5,1,2,6,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,5,1,4,8,6,7] => [7,1,2,3,8,4,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,5,1,8,4,6,7] => [6,1,2,3,7,8,4,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,5,8,1,4,6,7] => [5,1,2,3,6,7,8,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,1,5,3,4,6,8,7] => [8,1,4,2,3,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,3,5,1,6,4,8,7] => [5,1,2,3,8,4,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,5,1,6,8,4,7] => [5,1,2,3,7,8,4,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,5,6,1,8,4,7] => [3,7,1,2,4,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,5,6,8,1,4,7] => [3,6,1,2,4,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,5,1,6,4,7,8] => [6,1,2,4,3,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,5,6,1,4,7,8] => [5,1,2,3,6,4,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,5,6,1,7,4,8] => [3,7,1,2,5,4,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,5,6,7,1,4,8] => [3,6,1,2,4,7,5,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,5,1,6,7,8,4] => [5,1,2,3,6,8,4,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,5,6,1,7,8,4] => [3,6,1,2,4,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,6,3,7,4,8,5] => [8,6,1,4,2,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,6,1,3,7,4,8,5] => [8,6,1,3,4,2,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,6,7,3,4,8,5] => [8,5,1,3,6,2,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,6,1,7,3,4,8,5] => [8,5,6,1,3,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,7,1,3,4,8,5] => [8,4,5,1,2,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,3,7,8,4,5] => [7,5,1,3,8,2,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,6,1,3,7,8,4,5] => [7,5,8,1,3,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,6,7,3,8,4,5] => [7,3,8,1,5,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,1,7,3,8,4,5] => [7,8,5,1,3,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,7,1,3,8,4,5] => [7,8,4,1,2,5,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,6,7,8,3,4,5] => [6,3,7,1,4,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,1,7,8,3,4,5] => [6,7,4,1,2,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,7,1,8,3,4,5] => [6,7,2,8,1,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,7,8,1,3,4,5] => [5,6,2,7,1,3,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,6,3,7,4,5,8] => [6,7,1,4,2,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,1,3,4,7,5,8] => [7,1,3,4,5,2,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,1,6,4,7,5,8] => [7,1,2,5,3,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,6,1,4,7,5,8] => [7,1,2,4,5,3,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,6,7,1,4,5,8] => [5,6,1,2,3,7,4,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,6,3,4,7,8,5] => [6,8,1,4,2,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,1,3,4,7,8,5] => [6,8,1,3,4,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,6,1,4,7,8,5] => [6,8,1,2,4,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,3,6,7,4,8,5] => [4,8,1,6,2,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,1,3,6,7,8,4,5] => [4,7,1,5,8,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,6,7,8,4,5] => [4,7,1,2,5,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,6,1,7,8,4,5] => [7,5,1,2,3,8,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,6,7,1,8,4,5] => [7,3,8,1,2,5,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,6,7,8,1,4,5] => [6,3,7,1,2,4,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,1,6,3,8,4,5,7] => [6,7,1,3,8,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,6,8,3,4,5,7] => [5,6,1,3,7,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,6,3,4,8,5,7] => [7,8,1,4,2,3,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,1,3,4,8,5,7] => [7,8,1,3,4,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,3,6,4,8,5,7] => [7,1,4,8,2,3,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,1,6,4,8,5,7] => [7,1,2,4,8,3,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,6,1,4,8,5,7] => [7,8,1,2,4,3,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,6,8,4,5,7] => [6,1,2,4,7,8,3,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,6,1,8,4,5,7] => [6,7,1,2,3,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,6,8,1,4,5,7] => [5,6,1,2,3,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,1,6,3,4,5,8,7] => [8,1,4,5,2,3,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,6,1,3,4,5,8,7] => [8,1,3,4,5,2,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,3,6,4,5,8,7] => [8,1,5,2,3,4,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,3,6,1,4,5,8,7] => [8,1,2,4,5,3,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,4,6,1,8,5,7] => [7,1,2,3,4,8,5,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,6,8,1,5,7] => [6,1,2,3,4,7,8,5] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,3,4,6,1,7,5,8] => [7,1,2,3,5,4,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,4,6,7,1,5,8] => [6,1,2,3,4,7,5,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,6,1,7,8,5] => [6,1,2,3,4,8,5,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,6,7,8,1,5] => [4,7,1,2,3,5,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,1,7,3,4,8,5,6] => [7,8,1,4,5,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,7,1,3,4,8,5,6] => [7,8,1,3,4,5,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,7,4,8,5,6] => [7,8,1,2,5,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,7,1,4,8,5,6] => [7,8,1,2,4,5,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,3,7,8,4,5,6] => [6,7,1,4,8,2,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,7,8,4,5,6] => [6,7,1,2,4,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,7,3,4,5,8,6] => [8,1,4,5,6,2,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,1,7,4,5,8,6] => [8,1,2,5,6,3,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,7,1,4,5,8,6] => [8,1,2,4,5,6,3,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,3,4,7,5,8,6] => [8,1,6,2,3,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,3,4,1,7,5,8,6] => [8,1,2,3,6,4,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,4,7,1,5,8,6] => [8,1,2,3,5,6,4,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,3,4,7,8,5,6] => [7,1,5,8,2,3,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,1,4,7,8,5,6] => [7,1,2,5,8,3,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,3,4,1,7,8,5,6] => [7,1,2,3,5,8,4,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,7,1,8,5,6] => [7,8,1,2,3,5,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,7,8,1,5,6] => [6,7,1,2,3,4,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,5,7,1,8,6] => [8,1,2,3,4,6,5,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,5,7,8,1,6] => [7,1,2,3,4,5,8,6] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,1,4,2,6,5,8,7] => [3,1,5,8,2,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,2,6,5,8,7] => [1,5,2,8,3,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,2,6,8,5,7] => [3,1,5,7,8,2,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,1,2,6,8,5,7] => [1,5,2,7,8,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,6,2,8,5,7] => [1,7,3,4,8,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,6,8,2,5,7] => [1,6,3,4,7,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,4,2,6,5,7,8] => [3,1,6,2,4,5,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,4,1,2,6,5,7,8] => [1,6,3,2,4,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,1,4,2,6,7,5,8] => [3,1,5,7,2,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,2,6,7,5,8] => [1,5,2,7,3,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,2,6,7,8,5] => [3,1,5,6,8,2,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,1,2,6,7,8,5] => [1,5,2,6,8,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,4,6,7,1,2,8,5] => [8,1,2,5,3,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,6,1,7,8,2,5] => [7,1,2,5,3,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,6,7,1,8,2,5] => [7,1,2,3,8,5,4,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,6,7,8,1,2,5] => [6,1,2,3,7,4,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,4,2,7,5,8,6] => [1,8,3,6,2,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,7,2,5,8,6] => [1,8,3,5,6,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,4,1,2,7,5,6,8] => [1,6,2,7,3,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,4,1,2,5,7,6,8] => [1,7,3,2,4,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,1,4,5,2,7,6,8] => [3,1,4,7,2,5,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,5,2,7,6,8] => [1,4,2,7,3,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,4,1,5,7,2,6,8] => [1,4,2,6,7,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,4,1,2,5,7,8,6] => [1,6,2,8,3,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,5,7,8,2,6] => [1,7,3,4,5,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,4,2,8,5,6,7] => [3,1,6,7,8,2,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,1,2,8,5,6,7] => [1,6,2,7,8,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,8,2,5,6,7] => [3,1,5,6,7,8,2,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,4,1,8,2,5,6,7] => [1,5,2,6,7,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,4,8,1,2,5,6,7] => [1,4,2,5,6,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,4,1,2,5,8,6,7] => [1,7,2,8,3,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,4,1,5,2,8,6,7] => [1,4,2,7,8,3,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,5,8,2,6,7] => [3,1,4,6,7,8,2,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,4,1,5,8,2,6,7] => [1,4,2,6,7,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,4,1,2,5,6,8,7] => [1,8,3,2,4,5,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,1,4,5,6,2,8,7] => [3,1,4,5,8,2,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,1,5,6,2,8,7] => [1,4,2,5,8,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,5,6,8,2,7] => [3,1,4,5,7,8,2,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,4,1,5,6,8,2,7] => [1,4,2,5,7,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,4,2,5,6,7,8] => [4,2,1,3,5,6,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[3,1,4,5,2,6,7,8] => [3,1,5,2,4,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,4,1,5,2,6,7,8] => [1,5,3,2,4,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,1,4,5,6,2,7,8] => [3,1,4,6,2,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,4,1,5,6,2,7,8] => [1,4,2,6,3,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,5,6,7,2,8] => [3,1,4,5,7,2,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,4,1,5,6,7,2,8] => [1,4,2,5,7,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,5,6,7,8,2] => [3,1,4,5,6,8,2,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,4,1,5,6,7,8,2] => [1,4,2,5,6,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,5,2,6,4,8,7] => [1,5,3,8,2,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,5,1,6,2,4,8,7] => [8,1,5,3,2,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,5,6,1,2,4,8,7] => [8,1,4,2,5,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,6,1,2,8,4,7] => [7,1,2,8,4,3,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,1,6,8,2,4,7] => [6,1,4,2,7,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,6,1,8,2,4,7] => [6,1,2,7,3,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,6,8,1,2,4,7] => [5,1,2,6,3,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,5,6,2,4,7,8] => [1,5,3,6,2,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,5,1,6,2,7,4,8] => [7,1,5,3,2,4,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,5,6,1,2,7,4,8] => [7,1,4,2,5,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,6,7,2,4,8] => [6,1,4,2,7,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,6,1,7,2,4,8] => [6,1,2,7,4,3,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,6,7,1,2,4,8] => [5,1,2,6,3,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,5,2,6,7,8,4] => [1,5,3,6,8,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,5,1,6,2,7,8,4] => [6,1,4,2,8,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,6,1,2,7,8,4] => [6,1,2,8,4,3,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,1,6,7,2,8,4] => [4,1,2,8,6,3,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,6,1,7,2,8,4] => [2,8,1,6,4,3,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,1,6,7,8,2,4] => [4,1,2,7,5,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,6,1,7,8,2,4] => [2,7,1,5,3,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,6,7,1,8,2,4] => [2,7,1,3,8,5,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,6,7,8,1,2,4] => [2,6,1,3,7,4,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,1,2,7,4,8,6] => [8,1,6,3,2,4,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,5,1,7,2,4,8,6] => [8,1,5,2,6,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,7,1,2,4,8,6] => [8,1,4,2,5,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,1,2,7,8,4,6] => [7,1,5,2,8,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,7,2,8,4,6] => [7,1,2,8,5,3,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,7,1,2,8,4,6] => [7,1,2,8,4,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,1,7,8,2,4,6] => [6,1,2,7,4,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,7,8,1,2,4,6] => [5,1,2,6,7,3,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,5,2,7,4,6,8] => [1,6,3,7,2,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,5,2,4,7,6,8] => [1,7,4,2,3,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,5,1,2,4,7,6,8] => [1,7,3,4,2,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,5,4,7,6,8] => [4,1,7,2,3,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,1,2,5,7,4,6,8] => [4,1,6,7,2,3,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,5,2,7,4,6,8] => [6,2,3,7,1,4,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,5,2,4,7,8,6] => [1,6,3,8,2,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,2,4,7,8,6] => [6,2,3,8,1,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,5,7,4,8,6] => [1,8,4,6,2,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,5,7,4,8,6] => [8,2,4,6,1,3,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,5,2,7,4,8,6] => [3,8,2,6,1,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,7,2,4,8,6] => [3,8,2,5,6,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,5,7,8,4,6] => [1,7,4,5,8,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,5,7,8,4,6] => [7,2,4,5,8,1,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,2,7,8,4,6] => [3,7,2,5,8,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,5,2,8,4,6,7] => [1,6,3,7,8,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,5,8,2,4,6,7] => [1,5,3,6,7,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,5,2,4,8,6,7] => [1,7,3,8,2,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,2,4,8,6,7] => [7,2,3,8,1,4,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,5,8,4,6,7] => [4,1,6,7,8,2,3,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,2,8,4,6,7] => [6,2,3,7,8,1,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,8,2,4,6,7] => [5,2,3,6,7,8,1,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,1,5,2,4,6,8,7] => [1,8,4,2,3,5,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,5,1,2,4,6,8,7] => [1,8,3,4,2,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,5,4,6,8,7] => [4,1,8,2,3,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,5,2,4,6,8,7] => [8,2,4,1,3,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,5,2,6,4,8,7] => [5,2,3,8,1,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,5,6,2,4,8,7] => [3,8,2,5,1,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,5,6,8,4,7] => [4,1,5,7,8,2,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,6,2,8,4,7] => [3,7,2,4,8,1,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,5,6,8,2,4,7] => [3,6,2,4,7,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,5,2,4,6,7,8] => [4,1,5,2,3,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,5,1,2,4,6,7,8] => [3,1,4,5,2,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,5,6,4,7,8] => [4,1,6,2,3,5,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,5,2,6,4,7,8] => [6,2,4,1,3,5,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,5,6,2,4,7,8] => [5,2,3,6,1,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,5,6,7,4,8] => [4,1,5,7,2,3,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,5,6,2,7,4,8] => [3,7,2,5,1,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,6,7,2,4,8] => [3,6,2,4,7,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,5,6,7,8,4] => [4,1,5,6,8,2,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,2,6,7,8,4] => [5,2,3,6,8,1,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,6,2,7,8,4] => [3,6,2,4,8,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,6,2,7,4,8,5] => [8,1,6,4,2,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,6,1,2,7,4,8,5] => [8,1,6,3,4,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,1,7,2,4,8,5] => [8,1,5,6,3,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,1,2,7,8,4,5] => [7,1,5,8,3,2,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,6,7,2,8,4,5] => [7,1,3,8,5,2,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,1,7,2,8,4,5] => [7,8,1,5,3,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,6,7,1,2,8,4,5] => [7,8,1,4,2,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,7,8,2,4,5] => [6,7,1,4,2,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,7,8,1,2,4,5] => [5,6,1,2,7,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,1,6,2,4,7,5,8] => [1,7,4,5,2,3,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,6,1,2,4,7,5,8] => [1,7,3,4,5,2,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,6,4,7,5,8] => [1,7,5,2,3,4,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,3,2,6,4,7,5,8] => [7,2,5,1,3,4,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,6,2,4,7,5,8] => [7,2,4,5,1,3,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,2,6,7,4,5,8] => [6,2,4,7,1,3,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,6,2,7,4,5,8] => [6,7,2,4,1,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,6,4,7,8,5] => [1,6,4,8,2,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,6,4,7,8,5] => [6,2,4,8,1,3,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,6,2,4,7,8,5] => [6,8,2,4,1,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,6,7,4,8,5] => [4,8,2,6,1,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,6,2,7,4,8,5] => [8,6,2,4,1,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,3,6,7,2,4,8,5] => [8,5,2,3,6,1,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,2,6,7,8,4,5] => [4,7,2,5,8,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,6,2,7,8,4,5] => [7,5,2,3,8,1,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,6,7,8,2,4,5] => [6,3,7,2,4,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,2,6,4,8,5,7] => [7,2,4,8,1,3,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,6,2,4,8,5,7] => [7,8,2,4,1,3,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,2,6,8,4,5,7] => [1,6,4,7,8,2,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,6,8,4,5,7] => [6,2,4,7,8,1,3,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,6,2,4,5,8,7] => [1,8,4,5,2,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,6,1,2,4,5,8,7] => [1,8,3,4,5,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,6,4,5,8,7] => [1,8,5,2,3,4,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,1,2,4,6,5,8,7] => [5,1,8,2,3,4,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,4,6,2,5,8,7] => [8,2,3,5,1,4,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,4,6,8,5,7] => [5,1,7,8,2,3,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,6,8,2,5,7] => [6,2,3,4,7,8,1,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,1,6,2,4,5,7,8] => [4,1,5,6,2,3,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,6,1,2,4,5,7,8] => [3,1,4,5,6,2,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,2,4,6,7,5,8] => [5,1,7,2,3,4,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,4,6,2,7,5,8] => [7,2,3,5,1,4,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,6,7,2,5,8] => [6,2,3,4,7,1,5,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,2,4,6,7,8,5] => [5,1,6,8,2,3,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,6,7,2,8,5] => [4,8,2,3,6,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,6,7,8,2,5] => [4,7,2,3,5,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,2,7,4,8,5,6] => [7,8,2,5,1,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,7,2,4,8,5,6] => [7,8,2,4,5,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,7,2,4,5,8,6] => [1,8,4,5,6,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,7,1,2,4,5,8,6] => [1,8,3,4,5,6,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,2,4,7,5,8,6] => [1,8,6,2,3,4,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,3,2,4,7,5,8,6] => [8,2,6,1,3,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,4,2,7,5,8,6] => [8,2,3,6,1,4,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,7,2,5,8,6] => [8,2,3,5,6,1,4,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,2,4,7,8,5,6] => [1,7,5,8,2,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,4,7,8,5,6] => [7,2,5,8,1,3,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,4,2,7,8,5,6] => [7,2,3,5,8,1,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,4,7,8,2,5,6] => [6,7,2,3,4,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,7,2,4,5,6,8] => [4,1,5,6,7,2,3,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,7,1,2,4,5,6,8] => [3,1,4,5,6,7,2,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,1,2,7,4,5,6,8] => [5,1,6,7,2,3,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,4,7,5,6,8] => [6,1,7,2,3,4,5,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,1,2,4,5,7,6,8] => [7,2,1,3,4,5,6,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[3,1,2,4,5,7,8,6] => [6,1,8,2,3,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,4,5,7,2,8,6] => [8,2,3,4,6,1,5,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,4,5,7,8,2,6] => [7,2,3,4,5,8,1,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,1,8,2,4,5,6,7] => [4,1,5,6,7,8,2,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,8,1,2,4,5,6,7] => [3,1,4,5,6,7,8,2] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,1,2,8,4,5,6,7] => [5,1,6,7,8,2,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,2,4,8,5,6,7] => [6,1,7,8,2,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,1,2,4,5,8,6,7] => [7,1,8,2,3,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,1,2,4,5,6,8,7] => [8,2,1,3,4,5,6,7] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[4,1,5,2,6,3,8,7] => [5,3,1,8,2,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,1,2,6,3,8,7] => [5,1,8,3,2,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,5,6,2,3,8,7] => [3,1,8,5,2,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,1,6,2,3,8,7] => [1,8,5,3,2,4,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,6,1,2,3,8,7] => [1,8,4,2,5,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,2,6,8,3,7] => [5,3,1,7,8,2,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,5,6,2,8,3,7] => [3,1,7,4,8,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,6,2,8,3,7] => [1,7,4,2,8,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,6,1,2,8,3,7] => [1,7,2,8,4,3,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,5,6,8,2,3,7] => [3,1,6,4,7,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,1,6,8,2,3,7] => [1,6,4,2,7,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,6,1,8,2,3,7] => [1,6,2,7,3,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,6,8,1,2,3,7] => [1,5,2,6,3,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,5,2,6,3,7,8] => [6,4,2,1,3,5,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[4,1,5,6,2,3,7,8] => [5,3,1,6,2,4,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,1,6,2,3,7,8] => [5,1,6,3,2,4,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,1,2,6,7,3,8] => [5,1,7,3,2,4,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,1,6,2,7,3,8] => [1,7,5,3,2,4,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,6,1,2,7,3,8] => [1,7,4,2,5,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,6,7,2,3,8] => [3,1,6,4,7,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,6,7,2,3,8] => [1,6,4,2,7,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,6,1,7,2,3,8] => [1,6,2,7,4,3,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,5,2,6,7,8,3] => [5,3,1,6,8,2,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,1,2,6,7,8,3] => [5,1,6,2,8,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,6,2,7,8,3] => [1,6,4,2,8,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,6,1,2,7,8,3] => [1,6,2,8,4,3,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,5,6,7,2,8,3] => [3,1,4,8,6,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,1,6,7,2,8,3] => [1,4,2,8,6,3,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,5,6,7,8,2,3] => [3,1,4,7,5,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,5,1,6,7,8,2,3] => [1,4,2,7,5,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,5,2,7,3,8,6] => [3,1,8,6,2,4,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,1,2,7,3,8,6] => [1,8,6,3,2,4,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,1,7,2,3,8,6] => [1,8,5,2,6,3,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,2,7,8,3,6] => [3,1,7,5,8,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,2,7,8,3,6] => [1,7,5,2,8,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,7,2,8,3,6] => [3,1,7,8,5,2,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,1,7,2,8,3,6] => [1,7,2,8,5,3,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,7,1,2,8,3,6] => [1,7,2,8,4,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,7,8,2,3,6] => [1,6,2,7,4,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,7,8,1,2,3,6] => [1,5,2,6,7,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,5,2,7,3,6,8] => [6,3,1,7,2,4,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,1,2,7,3,6,8] => [6,1,7,3,2,4,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,5,7,2,3,6,8] => [5,3,1,6,7,2,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,1,7,2,3,6,8] => [5,1,6,2,7,3,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,5,3,7,6,8] => [4,7,2,1,3,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,5,3,7,6,8] => [4,2,7,1,3,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,5,2,3,7,6,8] => [2,7,4,1,3,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,1,2,5,7,3,6,8] => [4,6,1,7,2,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,5,7,3,6,8] => [4,2,6,7,1,3,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,7,3,6,8] => [2,6,3,7,1,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,5,7,2,3,6,8] => [2,5,3,6,7,1,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,2,3,7,8,6] => [6,3,1,8,2,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,1,2,5,3,7,8,6] => [4,6,1,8,2,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,5,3,7,8,6] => [4,2,6,8,1,3,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,3,7,8,6] => [2,6,3,8,1,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,7,3,8,6] => [8,4,1,6,2,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,5,7,3,8,6] => [2,8,4,6,1,3,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,7,8,3,6] => [7,4,1,5,8,2,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,2,5,7,8,3,6] => [2,7,4,5,8,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,2,8,3,6,7] => [6,3,1,7,8,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,1,2,8,3,6,7] => [6,1,7,2,8,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,5,8,2,3,6,7] => [5,3,1,6,7,8,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,5,1,8,2,3,6,7] => [5,1,6,2,7,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,8,1,2,3,6,7] => [4,1,5,2,6,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,5,2,3,8,6,7] => [7,3,1,8,2,4,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,1,2,3,8,6,7] => [7,1,8,3,2,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,4,2,5,3,8,6,7] => [4,2,7,8,1,3,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,3,8,6,7] => [2,7,3,8,1,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,8,3,6,7] => [4,6,1,7,8,2,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,5,8,3,6,7] => [4,2,6,7,8,1,3,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,5,2,8,3,6,7] => [2,6,3,7,8,1,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,5,8,2,3,6,7] => [2,5,3,6,7,8,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,5,1,2,3,6,8,7] => [8,3,1,4,2,5,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,5,3,6,8,7] => [4,2,8,1,3,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,1,2,5,6,3,8,7] => [4,5,1,8,2,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,5,2,6,3,8,7] => [2,5,3,8,1,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,6,8,3,7] => [4,5,1,7,8,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,5,6,8,3,7] => [4,2,5,7,8,1,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,5,2,6,8,3,7] => [2,5,3,7,8,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,2,5,3,6,7,8] => [5,2,3,1,4,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,2,5,3,6,7,8] => [5,3,1,2,4,6,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,4,5,2,3,6,7,8] => [4,2,5,1,3,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,1,2,5,6,3,7,8] => [4,6,2,1,3,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,5,2,6,3,7,8] => [2,6,4,1,3,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,5,6,2,3,7,8] => [2,5,3,6,1,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,6,7,3,8] => [4,5,1,7,2,3,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,5,6,7,3,8] => [4,2,5,7,1,3,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,5,2,6,7,3,8] => [2,5,3,7,1,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,5,6,7,8,3] => [4,5,1,6,8,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,5,6,7,8,3] => [4,2,5,6,8,1,3,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,5,2,6,7,8,3] => [2,5,3,6,8,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,6,2,7,3,8,5] => [1,8,6,4,2,3,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,1,6,7,2,3,8,5] => [1,8,5,3,6,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,1,7,2,3,8,5] => [1,8,5,6,3,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,7,1,2,3,8,5] => [1,8,4,5,2,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,7,2,8,3,5] => [1,7,3,8,5,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,6,7,8,2,3,5] => [1,6,3,7,4,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,2,7,3,5,8] => [6,1,7,4,2,3,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,6,1,2,7,3,5,8] => [6,1,7,3,4,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,7,2,3,5,8] => [5,1,6,3,7,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,1,7,2,3,5,8] => [5,1,6,7,3,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,6,7,1,2,3,5,8] => [4,1,5,6,2,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,6,2,3,7,5,8] => [7,4,1,5,2,3,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,6,1,2,3,7,5,8] => [7,3,1,4,5,2,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,2,6,3,7,5,8] => [7,5,2,1,3,4,6,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,4,2,6,3,7,5,8] => [2,7,5,1,3,4,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,1,6,2,3,7,8,5] => [6,1,8,4,2,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,6,3,7,8,5] => [6,4,1,8,2,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,1,2,6,7,3,8,5] => [4,1,8,6,2,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,4,6,2,7,3,8,5] => [8,2,6,4,1,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,4,6,7,2,3,8,5] => [8,2,5,3,6,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,6,2,7,8,3,5] => [7,2,5,3,8,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,6,7,2,8,3,5] => [7,2,3,8,5,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,6,7,8,2,3,5] => [6,2,3,7,4,8,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,6,2,8,3,5,7] => [6,1,7,3,8,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,1,2,8,3,5,7] => [6,1,7,8,3,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,6,8,2,3,5,7] => [5,1,6,3,7,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,1,8,2,3,5,7] => [5,1,6,7,2,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,6,2,3,8,5,7] => [7,1,8,4,2,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,6,1,2,3,8,5,7] => [7,1,8,3,4,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,6,3,8,5,7] => [7,4,1,8,2,3,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,6,3,8,5,7] => [2,7,4,8,1,3,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,6,8,3,5,7] => [2,6,4,7,8,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,6,2,3,5,8,7] => [8,4,1,5,2,3,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,1,2,6,3,5,8,7] => [8,5,2,1,3,4,6,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,4,2,6,3,5,8,7] => [2,8,5,1,3,4,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,6,2,3,5,8,7] => [2,8,4,5,1,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,3,6,5,8,7] => [5,8,2,1,3,4,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,3,6,5,8,7] => [5,2,8,1,3,4,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,6,3,5,8,7] => [8,3,5,1,2,4,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,1,2,3,6,8,5,7] => [5,7,1,8,2,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,6,3,8,5,7] => [7,3,4,8,1,2,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,6,8,3,5,7] => [6,3,4,7,8,1,2,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,1,6,2,3,5,7,8] => [4,5,1,6,2,3,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,6,1,2,3,5,7,8] => [3,4,1,5,6,2,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,6,3,5,7,8] => [5,2,6,1,3,4,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,6,2,3,5,7,8] => [4,2,5,6,1,3,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,6,5,7,8] => [6,2,3,1,4,5,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,2,3,6,5,7,8] => [6,3,1,2,4,5,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[4,1,2,3,6,7,5,8] => [5,7,2,1,3,4,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,3,6,7,5,8] => [5,2,7,1,3,4,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,6,3,7,5,8] => [7,3,5,1,2,4,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,6,7,3,5,8] => [6,3,4,7,1,2,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,6,7,8,5] => [5,6,1,8,2,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,3,6,7,8,5] => [5,2,6,8,1,3,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,6,3,7,8,5] => [6,3,4,8,1,2,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,6,7,8,3,5] => [4,7,3,5,8,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,7,2,8,3,5,6] => [6,1,7,8,4,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,7,1,2,8,3,5,6] => [6,1,7,8,3,4,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,7,8,2,3,5,6] => [5,1,6,7,3,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,1,8,2,3,5,6] => [5,1,6,7,8,3,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,7,8,1,2,3,5,6] => [4,1,5,6,7,2,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,7,2,3,8,5,6] => [7,1,8,4,5,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,7,1,2,3,8,5,6] => [7,1,8,3,4,5,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,2,7,8,3,5,6] => [6,1,7,4,8,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,7,2,3,5,8,6] => [8,4,1,5,6,2,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,2,7,3,5,8,6] => [8,5,1,6,2,3,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,7,3,5,8,6] => [2,8,5,6,1,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,7,2,3,5,8,6] => [2,8,4,5,6,1,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,3,7,5,8,6] => [2,8,6,1,3,4,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,4,3,7,5,8,6] => [8,3,6,1,2,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,7,3,5,8,6] => [8,3,5,6,1,2,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,7,8,5,6] => [7,5,1,8,2,3,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,3,7,8,5,6] => [2,7,5,8,1,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,3,7,8,5,6] => [7,3,5,8,1,2,4,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,7,3,8,5,6] => [7,8,3,5,1,2,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,7,8,3,5,6] => [6,7,3,4,8,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,7,2,3,5,6,8] => [4,5,1,6,7,2,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,7,1,2,3,5,6,8] => [3,4,1,5,6,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,2,7,3,5,6,8] => [5,6,1,7,2,3,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,7,3,5,6,8] => [5,2,6,7,1,3,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,7,2,3,5,6,8] => [4,2,5,6,7,1,3,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,1,2,3,7,5,6,8] => [6,7,2,1,3,4,5,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,3,7,5,6,8] => [6,2,7,1,3,4,5,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,1,2,3,5,7,6,8] => [7,2,3,1,4,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,2,3,5,7,6,8] => [7,3,1,2,4,5,6,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[4,1,2,3,5,7,8,6] => [6,8,2,1,3,4,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,3,5,7,8,6] => [6,2,8,1,3,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,4,5,7,3,8,6] => [8,3,4,6,1,2,5,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,5,7,8,3,6] => [7,3,4,5,8,1,2,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,1,8,2,3,5,6,7] => [4,5,1,6,7,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,8,1,2,3,5,6,7] => [3,4,1,5,6,7,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,1,2,8,3,5,6,7] => [5,6,1,7,8,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,8,3,5,6,7] => [5,2,6,7,8,1,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,8,2,3,5,6,7] => [4,2,5,6,7,8,1,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[4,1,2,3,8,5,6,7] => [6,7,1,8,2,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,3,8,5,6,7] => [6,2,7,8,1,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,1,2,3,5,8,6,7] => [7,8,2,1,3,4,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,4,2,3,5,8,6,7] => [7,2,8,1,3,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,1,2,3,5,6,8,7] => [8,2,3,1,4,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,4,2,3,5,6,8,7] => [8,3,1,2,4,5,6,7] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,4,2,3,5,6,7,8] => [3,4,1,2,5,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[5,1,6,2,7,3,8,4] => [8,6,4,2,1,3,5,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,6,1,2,7,3,8,4] => [8,6,3,1,4,2,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,1,6,7,2,3,8,4] => [8,5,3,1,6,2,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,6,1,7,2,3,8,4] => [8,5,1,6,3,2,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,7,1,2,3,8,4] => [8,4,1,5,2,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,6,2,7,8,3,4] => [7,5,3,1,8,2,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,6,1,2,7,8,3,4] => [7,5,1,8,3,2,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,1,7,2,8,3,4] => [7,1,8,5,3,2,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,7,1,2,8,3,4] => [7,1,8,4,2,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,6,7,8,2,3,4] => [6,3,1,7,4,8,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,1,7,8,2,3,4] => [6,1,7,4,2,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,7,1,8,2,3,4] => [6,1,7,2,8,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,1,2,7,3,4,8] => [6,7,3,1,4,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,2,3,7,4,8] => [7,4,5,2,1,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,6,3,7,4,8] => [7,5,2,3,1,4,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,6,3,7,4,8] => [7,5,3,1,2,4,6,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[5,1,2,6,7,3,4,8] => [6,4,7,2,1,3,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,6,7,3,4,8] => [6,4,2,7,1,3,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,6,7,2,3,4,8] => [5,2,6,3,7,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,6,2,3,7,8,4] => [6,8,4,2,1,3,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,6,1,2,3,7,8,4] => [6,8,3,1,4,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,6,3,7,8,4] => [6,4,8,2,1,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,6,3,7,8,4] => [6,4,2,8,1,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,6,2,3,7,8,4] => [6,2,8,4,1,3,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,6,7,3,8,4] => [4,8,6,2,1,3,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,5,6,7,2,3,8,4] => [2,8,5,3,6,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,6,7,8,3,4] => [4,7,5,1,8,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,2,6,7,8,3,4] => [4,2,7,5,8,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,6,2,7,8,3,4] => [2,7,5,3,8,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,6,7,2,8,3,4] => [2,7,3,8,5,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,6,7,8,2,3,4] => [2,6,3,7,4,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,2,8,3,4,7] => [6,7,3,1,8,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,6,1,2,8,3,4,7] => [6,7,1,8,3,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,1,8,2,3,4,7] => [5,6,1,7,2,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,8,1,2,3,4,7] => [4,5,1,6,2,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,6,2,3,8,4,7] => [7,8,4,2,1,3,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,6,1,2,3,8,4,7] => [7,8,3,1,4,2,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,6,3,8,4,7] => [7,4,8,2,1,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,6,3,8,4,7] => [7,4,2,8,1,3,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,6,2,3,8,4,7] => [7,2,8,4,1,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,6,8,3,4,7] => [6,4,7,1,8,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,6,8,3,4,7] => [6,4,2,7,8,1,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,6,2,8,3,4,7] => [6,2,7,3,8,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,6,8,2,3,4,7] => [5,2,6,3,7,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,6,2,3,4,8,7] => [8,4,5,2,1,3,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,6,3,4,8,7] => [8,5,2,3,1,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,6,3,4,8,7] => [8,5,3,1,2,4,6,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,5,6,2,3,4,8,7] => [8,4,2,5,1,3,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,3,6,4,8,7] => [5,8,3,1,2,4,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,3,6,4,8,7] => [5,3,8,1,2,4,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,6,3,4,8,7] => [3,8,5,1,2,4,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,2,3,6,8,4,7] => [5,7,2,8,1,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,6,3,8,4,7] => [3,7,4,8,1,2,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,6,8,3,4,7] => [3,6,4,7,8,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,1,2,6,3,4,7,8] => [5,6,2,3,1,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,6,3,4,7,8] => [5,6,3,1,2,4,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,6,2,3,4,7,8] => [4,5,2,6,1,3,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,1,2,3,6,4,7,8] => [6,2,3,4,1,5,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,3,6,4,7,8] => [6,4,1,2,3,5,7,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,5,6,3,4,7,8] => [5,3,6,1,2,4,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[5,1,2,3,6,7,4,8] => [5,7,2,3,1,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,3,6,7,4,8] => [5,7,3,1,2,4,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,3,6,7,4,8] => [5,3,7,1,2,4,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,6,3,7,4,8] => [3,7,5,1,2,4,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,2,3,6,7,8,4] => [5,6,2,8,1,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,3,6,7,8,4] => [5,3,6,8,1,2,4,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,6,3,7,8,4] => [3,6,4,8,1,2,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,1,7,2,8,3,4,6] => [6,7,1,8,4,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,7,1,2,8,3,4,6] => [6,7,1,8,3,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,8,2,3,4,6] => [5,6,1,7,3,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,1,8,2,3,4,6] => [5,6,1,7,8,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,8,1,2,3,4,6] => [4,5,1,6,7,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,7,2,3,8,4,6] => [7,8,4,1,5,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,1,2,3,8,4,6] => [7,8,3,1,4,5,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,2,7,3,8,4,6] => [7,8,5,2,1,3,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,5,2,7,3,8,4,6] => [7,2,8,5,1,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,7,2,3,8,4,6] => [7,2,8,4,5,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,2,7,8,3,4,6] => [6,7,4,1,8,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,2,7,8,3,4,6] => [6,2,7,4,8,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,7,2,8,3,4,6] => [6,2,7,8,4,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,7,8,2,3,4,6] => [5,2,6,7,3,8,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,7,2,3,4,8,6] => [8,4,5,1,6,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,1,2,3,4,8,6] => [8,3,4,1,5,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,2,7,3,4,8,6] => [8,5,6,2,1,3,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,3,7,4,8,6] => [8,6,2,3,1,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,5,3,7,4,8,6] => [3,8,6,1,2,4,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,7,3,4,8,6] => [3,8,5,6,1,2,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,1,2,3,7,8,4,6] => [7,5,8,2,1,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,5,3,7,8,4,6] => [3,7,5,8,1,2,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,7,3,4,6,8] => [5,6,2,7,1,3,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,7,2,3,4,6,8] => [4,5,2,6,7,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,1,2,3,7,4,6,8] => [6,7,2,3,1,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,3,7,4,6,8] => [6,7,3,1,2,4,5,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,3,7,4,6,8] => [6,3,7,1,2,4,5,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,7,3,4,6,8] => [5,3,6,7,1,2,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,3,4,7,6,8] => [7,3,4,1,2,5,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,3,4,7,6,8] => [7,4,1,2,3,5,6,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[5,1,2,3,4,7,8,6] => [6,8,2,3,1,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,3,4,7,8,6] => [6,8,3,1,2,4,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,3,4,7,8,6] => [6,3,8,1,2,4,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,5,7,4,8,6] => [8,4,6,1,2,3,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,5,7,8,4,6] => [7,4,5,8,1,2,3,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,8,3,4,6,7] => [5,6,2,7,8,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,8,2,3,4,6,7] => [4,5,2,6,7,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,2,3,8,4,6,7] => [6,7,2,8,1,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,5,3,8,4,6,7] => [6,3,7,8,1,2,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,8,3,4,6,7] => [5,3,6,7,8,1,2,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[5,1,2,3,4,8,6,7] => [7,8,2,3,1,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,3,4,8,6,7] => [7,8,3,1,2,4,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,5,3,4,8,6,7] => [7,3,8,1,2,4,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[5,1,2,3,4,6,8,7] => [8,2,3,4,1,5,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,3,4,6,8,7] => [8,3,4,1,2,5,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,5,3,4,6,8,7] => [8,4,1,2,3,5,6,7] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,5,3,4,6,7,8] => [4,5,1,2,3,6,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[6,1,7,2,3,8,4,5] => [7,8,4,5,2,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,7,1,2,3,8,4,5] => [7,8,3,4,1,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,2,7,3,8,4,5] => [7,8,5,2,3,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,2,7,3,8,4,5] => [7,8,5,3,1,2,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,7,2,3,8,4,5] => [7,8,4,2,5,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,2,7,8,3,4,5] => [6,7,4,8,2,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,2,7,8,3,4,5] => [6,7,4,2,8,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,7,2,8,3,4,5] => [6,7,2,8,4,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,8,2,3,4,5] => [5,6,2,7,3,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,7,2,3,4,8,5] => [8,4,5,6,2,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,7,1,2,3,4,8,5] => [8,3,4,5,1,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,2,7,3,4,8,5] => [8,5,6,2,3,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,7,3,4,8,5] => [8,5,6,3,1,2,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,7,2,3,4,8,5] => [8,4,5,2,6,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,3,7,4,8,5] => [8,6,2,3,4,1,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,2,3,7,4,8,5] => [8,6,3,4,1,2,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,3,7,4,8,5] => [8,6,4,1,2,3,5,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,6,7,3,4,8,5] => [8,5,3,6,1,2,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,1,2,3,7,8,4,5] => [7,5,8,2,3,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,3,7,8,4,5] => [7,5,8,3,1,2,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,6,3,7,8,4,5] => [7,5,3,8,1,2,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,7,3,8,4,5] => [7,3,8,5,1,2,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,6,7,8,3,4,5] => [6,3,7,4,8,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,3,7,4,5,8] => [6,7,2,3,4,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,2,3,7,4,5,8] => [6,7,3,4,1,2,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,7,3,4,5,8] => [5,6,3,7,1,2,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,1,2,3,4,7,5,8] => [7,2,3,4,5,1,6,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,6,2,3,4,7,5,8] => [7,3,4,5,1,2,6,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,3,4,7,5,8] => [7,4,5,1,2,3,6,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,6,4,7,5,8] => [7,5,1,2,3,4,6,8] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,6,7,4,5,8] => [6,4,7,1,2,3,5,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[6,1,2,3,4,7,8,5] => [6,8,2,3,4,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,2,3,4,7,8,5] => [6,8,3,4,1,2,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,3,4,7,8,5] => [6,8,4,1,2,3,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,6,4,7,8,5] => [6,4,8,1,2,3,5,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,6,7,4,8,5] => [4,8,6,1,2,3,5,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,6,7,8,4,5] => [4,7,5,8,1,2,3,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,3,8,4,5,7] => [6,7,3,8,1,2,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,8,3,4,5,7] => [5,6,3,7,8,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,1,2,3,4,8,5,7] => [7,8,2,3,4,1,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,2,3,4,8,5,7] => [7,8,3,4,1,2,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,3,4,8,5,7] => [7,8,4,1,2,3,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,6,4,8,5,7] => [7,4,8,1,2,3,5,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,6,8,4,5,7] => [6,4,7,8,1,2,3,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,2,3,4,5,8,7] => [8,2,3,4,5,1,6,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,6,2,3,4,5,8,7] => [8,3,4,5,1,2,6,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,3,4,5,8,7] => [8,4,5,1,2,3,6,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,6,4,5,8,7] => [8,5,1,2,3,4,6,7] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,6,4,5,7,8] => [5,6,1,2,3,4,7,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[7,1,2,3,4,8,5,6] => [7,8,2,3,4,5,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,7,2,3,4,8,5,6] => [7,8,3,4,5,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,7,3,4,8,5,6] => [7,8,4,5,1,2,3,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,7,4,8,5,6] => [7,8,5,1,2,3,4,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,7,8,4,5,6] => [6,7,4,8,1,2,3,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,1,2,3,4,5,8,6] => [8,2,3,4,5,6,1,7] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,2,3,4,5,8,6] => [8,3,4,5,6,1,2,7] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,7,3,4,5,8,6] => [8,4,5,6,1,2,3,7] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,4,5,8,6] => [8,5,6,1,2,3,4,7] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,4,7,5,8,6] => [8,6,1,2,3,4,5,7] => [1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,3,4,7,8,5,6] => [7,5,8,1,2,3,4,6] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,2,3,4,7,5,6,8] => [6,7,1,2,3,4,5,8] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,4,5,8,6,7] => [7,8,1,2,3,4,5,6] => [2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[5,3,2,6,1,4,8,7] => [2,8,3,1,5,4,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,3,2,5,4,8,1,6] => [2,5,3,4,7,1,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,5,2,3,7,6,1] => [2,8,4,3,5,7,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,5,2,3,8,1,6] => [4,2,5,3,7,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,5,2,3,1,8,7] => [4,2,5,3,1,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,6,2,1,3,8,7] => [4,2,1,8,5,3,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,6,1,5,4,2,8,7] => [5,1,4,8,3,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,4,3,1,2,8,7] => [1,8,5,4,3,2,6,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,5,4,3,2,8,1,6] => [5,4,3,2,7,1,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,4,3,7,2,5,1] => [4,3,6,2,8,7,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,4,3,8,2,1,5] => [4,3,7,6,2,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,3,8,1,2,5] => [6,4,3,1,7,2,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,7,4,3,1,8,2,6] => [1,7,4,3,8,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,1,5,4,8,2,6] => [5,1,4,7,8,3,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,1,7,5,4,8,3,6] => [5,4,7,1,3,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,8,1,5,4,7,6,2] => [4,8,1,5,7,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,5,1,3,7,6,2] => [8,1,5,3,7,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,4,3,1,7,6,2] => [1,4,3,8,7,5,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,4,3,7,1,5,2] => [4,3,1,8,6,7,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,3,6,5,1,2] => [4,3,7,1,8,6,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,5,7,3,1,4,2] => [1,8,6,5,3,7,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,8,6,1,7,3,5,2] => [6,8,1,7,4,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,1,6,7,4,5,2] => [6,4,8,1,7,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,8,6,7,4,5,3] => [6,4,8,7,1,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,7,6,8,4,3,5] => [7,6,4,1,3,8,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,7,1,6,8,4,2,5] => [7,6,1,4,8,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,7,6,1,8,3,2,5] => [7,1,6,8,4,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,7,6,8,1,3,2,4] => [1,7,5,6,3,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,7,2,1,8,3,6] => [4,2,1,7,8,5,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,7,2,8,1,3,5] => [4,2,6,1,7,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,6,2,8,3,1,5] => [2,7,4,6,3,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,2,6,7,4,5,1] => [6,2,4,8,3,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,3,2,6,8,4,1,5] => [7,2,6,3,4,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,2,7,1,8,4,6] => [2,7,1,8,3,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,2,1,7,8,5,6] => [2,1,7,3,5,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,1,2,8,7,6,5] => [8,1,2,7,6,3,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,3,2,8,1,7,6,4] => [8,2,1,7,3,5,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,2,8,7,1,5,4] => [8,2,6,1,7,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,2,8,6,5,1,4] => [7,8,2,6,3,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,7,2,6,5,3,1] => [8,2,7,4,6,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,4,8,2,7,1,5,3] => [2,8,4,1,6,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,8,2,1,7,6,3] => [2,1,8,4,7,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,1,8,2,7,6,4] => [2,8,1,7,5,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,5,8,3,7,6,4] => [8,3,7,1,5,6,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,8,7,3,5,4] => [3,8,6,7,1,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,8,7,2,5,4] => [8,6,1,2,7,5,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,6,8,1,7,2,5,3] => [8,1,6,2,7,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,8,7,1,2,4,3] => [1,8,5,2,6,7,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,8,7,2,1,4,3] => [5,2,1,8,6,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,8,6,2,4,1,3] => [5,2,7,1,8,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,7,6,2,4,3,1] => [2,8,5,7,6,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,7,8,1,6,5,2,3] => [7,8,1,6,4,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,1,8,6,5,2,4] => [7,8,6,1,5,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,1,7,8,6,5,3,4] => [7,3,8,6,1,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,1,7,6,5,4,2] => [8,7,6,1,5,3,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,8,7,1,6,5,3,2] => [8,7,1,6,4,5,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,7,6,1,4,3,2] => [8,1,7,5,6,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,7,5,4,1,3,2] => [1,8,6,7,5,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[3,2,5,1,4,6,7,8] => [2,1,4,5,3,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,2,5,1,3,6,7,8] => [2,4,1,5,3,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,6,1,4,5,7,8] => [2,1,4,5,6,3,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,2,6,1,3,5,7,8] => [2,4,1,5,6,3,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,3,6,1,2,4,7,8] => [4,2,5,1,6,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,5,1,2,4,7,8] => [4,2,5,6,3,1,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,4,7,1,2,3,6,8] => [4,5,2,1,6,7,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,3,7,1,2,4,5,8] => [4,2,5,6,1,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,7,1,2,3,5,8] => [4,5,2,6,1,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,1,2,4,6,8] => [4,2,5,6,3,7,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,6,1,2,3,5,8] => [4,5,2,6,7,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,8,1,4,5,6,7] => [2,1,4,5,6,7,8,3] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[4,2,8,1,3,5,6,7] => [2,4,1,5,6,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,4,8,1,2,3,6,7] => [4,5,2,1,6,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,3,8,1,2,4,5,7] => [4,2,5,6,1,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,8,1,2,3,5,7] => [4,5,2,6,1,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,8,1,2,4,5,6] => [4,2,5,6,7,1,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,4,8,1,2,3,5,6] => [4,5,2,6,7,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,5,1,2,4,6,7] => [4,2,5,6,3,7,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,3,6,1,2,4,5,7] => [4,2,5,6,7,3,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,7,1,2,4,5,6] => [4,2,5,6,7,8,3,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,4,7,1,2,3,5,6] => [4,5,2,6,7,8,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,2,5,7,1,4,6,8] => [1,5,2,3,6,7,4,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,5,7,1,3,6,8] => [5,2,1,3,6,7,4,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,5,7,1,2,6,8] => [2,1,5,3,6,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,4,7,1,3,6,8] => [5,2,3,1,6,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,4,7,1,2,6,8] => [2,5,3,1,6,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,7,1,3,5,8] => [5,1,6,2,3,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,7,1,3,4,8] => [5,6,2,1,3,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,6,7,1,2,4,8] => [2,5,1,6,3,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,5,7,1,3,4,8] => [5,6,2,3,1,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,4,6,1,3,5,8] => [5,2,3,6,7,4,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,2,5,8,1,4,6,7] => [1,5,2,3,6,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,2,5,8,1,3,6,7] => [5,2,1,3,6,7,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,3,5,8,1,2,6,7] => [2,1,5,3,6,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,4,8,1,3,6,7] => [5,2,3,1,6,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,6,8,1,3,5,7] => [5,1,6,2,3,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,6,8,1,2,5,7] => [2,1,5,6,3,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,2,4,8,1,3,5,7] => [5,2,3,6,1,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,4,8,1,2,5,7] => [2,5,3,6,1,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,5,8,1,3,4,7] => [5,6,2,3,1,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,5,8,1,2,3,7] => [5,2,6,3,1,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,7,8,1,2,5,6] => [2,1,5,6,7,3,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,7,8,1,2,4,6] => [2,5,1,6,7,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,7,8,1,2,3,5] => [5,2,6,1,7,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,4,8,1,3,5,6] => [5,2,3,6,7,1,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,3,4,8,1,2,5,6] => [2,5,3,6,7,1,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,5,8,1,2,3,6] => [5,2,6,3,7,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,4,6,1,3,5,7] => [5,2,3,6,7,4,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,4,6,1,2,5,7] => [2,5,3,6,7,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,5,6,1,3,4,7] => [5,6,2,3,7,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,4,7,1,3,5,6] => [5,2,3,6,7,8,4,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,4,6,7,1,2,3,5] => [5,2,6,7,3,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,2,5,1,3,7,8] => [3,1,5,6,4,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,6,3,5,1,2,7,8] => [1,5,3,6,4,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,2,4,1,3,7,8] => [3,5,1,6,4,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,7,3,5,1,2,6,8] => [1,5,3,6,4,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,2,4,1,3,6,8] => [3,5,1,6,4,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,3,4,1,2,6,8] => [5,3,1,6,4,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,7,3,6,1,2,5,8] => [1,5,3,6,7,4,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,2,6,1,3,4,8] => [3,5,1,6,7,4,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,2,5,1,3,6,7] => [3,1,5,6,4,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,8,2,4,1,3,6,7] => [3,5,1,6,4,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,3,4,1,2,6,7] => [5,3,1,6,4,7,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,2,6,1,3,5,7] => [3,1,5,6,7,4,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,3,6,1,2,4,7] => [5,3,1,6,7,4,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,3,4,1,2,5,7] => [5,3,6,4,1,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,3,5,1,2,4,7] => [5,3,6,1,7,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,4,5,1,2,3,7] => [5,6,3,1,7,4,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,2,7,1,3,5,6] => [3,1,5,6,7,8,4,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,8,3,7,1,2,5,6] => [1,5,3,6,7,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,2,7,1,3,4,6] => [3,5,1,6,7,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,3,7,1,2,4,6] => [5,3,1,6,7,8,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,8,4,7,1,2,3,6] => [5,1,6,3,7,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,3,7,1,2,4,5] => [5,3,6,1,7,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,5,7,1,2,3,4] => [5,6,1,7,3,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,5,1,2,4,6] => [5,3,6,7,4,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,4,6,1,2,3,5] => [5,6,3,7,1,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,2,6,1,5,7,8] => [3,2,1,5,6,4,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,3,2,6,1,4,7,8] => [3,2,5,1,6,4,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,4,2,6,1,3,7,8] => [3,5,2,1,6,4,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,2,7,1,5,6,8] => [3,2,1,5,6,7,4,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,3,2,7,1,4,6,8] => [3,2,5,1,6,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,3,7,1,2,6,8] => [5,3,2,1,6,7,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,2,7,1,4,5,8] => [3,2,5,6,1,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,2,7,1,3,5,8] => [3,5,2,6,1,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,3,7,1,2,5,8] => [5,3,2,6,1,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,7,1,2,4,8] => [5,3,6,2,1,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,2,5,1,3,6,8] => [3,5,2,6,4,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,2,6,1,4,5,8] => [3,2,5,6,7,4,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,4,2,6,1,3,5,8] => [3,5,2,6,7,4,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,3,6,1,2,5,8] => [5,3,2,6,7,4,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,5,3,6,1,2,4,8] => [5,3,6,2,7,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,3,2,8,1,5,6,7] => [3,2,1,5,6,7,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,3,2,8,1,4,6,7] => [3,2,5,1,6,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,3,8,1,2,6,7] => [5,3,2,1,6,7,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,3,2,8,1,4,5,7] => [3,2,5,6,1,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,2,8,1,3,5,7] => [3,5,2,6,1,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,3,8,1,2,5,7] => [5,3,2,6,1,7,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,3,8,1,2,4,7] => [5,3,6,2,1,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,4,8,1,2,3,7] => [5,6,3,2,1,7,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,3,2,8,1,4,5,6] => [3,2,5,6,7,1,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,4,2,8,1,3,5,6] => [3,5,2,6,7,1,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,3,8,1,2,5,6] => [5,3,2,6,7,1,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,5,3,8,1,2,4,6] => [5,3,6,2,7,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,8,1,2,3,6] => [5,6,3,2,7,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,4,8,1,2,3,5] => [5,6,3,7,2,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,2,5,1,4,6,7] => [3,2,5,6,4,7,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,2,5,1,3,6,7] => [3,5,2,6,4,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,2,6,1,4,5,7] => [3,2,5,6,7,4,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,2,6,1,3,5,7] => [3,5,2,6,7,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,3,6,1,2,4,7] => [5,3,6,2,7,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,2,7,1,4,5,6] => [3,2,5,6,7,8,4,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,4,2,7,1,3,5,6] => [3,5,2,6,7,8,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,5,3,7,1,2,4,6] => [5,3,6,2,7,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,4,7,1,2,3,6] => [5,6,3,2,7,8,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,6,3,7,1,2,4,5] => [5,3,6,7,2,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,5,1,2,4,6] => [5,3,6,7,4,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,6,1,2,4,5] => [5,3,6,7,8,4,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,4,6,1,2,3,5] => [5,6,3,7,8,4,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,6,2,5,8,1,4,7] => [6,1,3,4,2,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,6,2,4,8,1,3,7] => [6,3,1,4,2,7,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,2,5,8,1,3,6] => [1,6,3,4,7,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,2,4,8,1,3,6] => [6,3,1,4,7,2,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,3,4,8,1,2,6] => [3,1,6,4,7,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,2,6,8,1,4,5] => [6,7,1,3,4,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,2,6,8,1,3,4] => [6,1,7,3,4,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,4,6,8,1,2,3] => [1,6,3,7,4,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,3,4,8,1,2,5] => [3,6,4,1,7,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,2,5,7,1,3,6] => [1,6,3,4,7,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,2,4,7,1,3,6] => [6,3,1,4,7,8,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,2,6,7,1,4,5] => [6,7,1,3,4,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,2,6,7,1,3,4] => [6,1,7,3,4,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,3,6,7,1,2,4] => [3,1,6,7,4,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,4,6,7,1,2,3] => [1,6,3,7,4,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,2,5,7,1,3,4] => [6,7,3,1,4,8,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,4,5,7,1,2,3] => [6,3,1,7,4,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,2,4,6,1,3,5] => [6,3,4,7,1,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,8,3,4,6,1,2,5] => [3,6,4,7,1,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,2,5,6,1,3,4] => [6,7,3,4,1,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,2,6,8,1,5,7] => [2,1,6,3,4,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,2,6,8,1,4,7] => [2,6,3,1,4,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,4,2,6,8,1,3,7] => [6,3,2,1,4,7,8,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,4,3,6,8,1,2,7] => [3,2,1,6,4,7,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,2,5,8,1,4,7] => [2,6,3,4,1,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,3,5,8,1,2,7] => [3,2,6,4,1,7,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,2,4,8,1,3,7] => [6,3,4,2,1,7,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,2,7,8,1,5,6] => [2,1,6,7,3,4,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,2,7,8,1,4,6] => [2,6,1,7,3,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,2,7,8,1,3,6] => [6,2,1,7,3,4,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,3,7,8,1,2,6] => [3,2,1,6,7,4,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,2,7,8,1,3,5] => [6,2,7,3,1,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,3,7,8,1,2,5] => [3,2,6,1,7,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,2,7,8,1,3,4] => [6,7,3,2,1,4,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,4,2,5,8,1,3,6] => [6,3,2,4,7,1,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,3,5,8,1,2,6] => [3,2,6,4,7,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,3,4,8,1,2,6] => [3,6,4,2,7,1,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,2,6,8,1,3,4] => [6,7,3,2,4,1,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,3,6,8,1,2,4] => [3,6,2,7,4,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,2,4,8,1,3,5] => [6,3,4,7,2,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,2,5,7,1,4,6] => [2,6,3,4,7,8,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,5,2,4,7,1,3,6] => [6,3,4,2,7,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,2,6,7,1,3,4] => [6,7,3,2,4,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,3,6,7,1,2,4] => [3,6,2,7,4,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,2,4,7,1,3,5] => [6,3,4,7,2,8,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,2,4,6,1,3,5] => [6,3,4,7,8,5,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,3,4,6,1,2,5] => [3,6,4,7,8,5,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,2,5,6,1,3,4] => [6,7,3,4,8,5,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,3,7,2,6,1,5,8] => [2,1,4,6,7,5,3,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,7,2,6,1,4,8] => [2,4,1,6,7,5,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,7,2,6,1,3,8] => [4,2,1,6,7,5,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,7,2,5,1,3,8] => [4,2,6,1,7,5,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,7,3,5,1,2,8] => [2,6,4,1,7,5,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,3,8,2,6,1,5,7] => [2,1,4,6,7,5,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,8,2,6,1,4,7] => [2,4,1,6,7,5,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,8,2,6,1,3,7] => [4,2,1,6,7,5,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,8,2,5,1,3,7] => [4,2,6,1,7,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,8,3,5,1,2,7] => [2,6,4,1,7,5,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,8,2,4,1,3,7] => [4,6,2,1,7,5,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,8,3,4,1,2,7] => [6,4,2,1,7,5,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,3,8,2,7,1,5,6] => [2,1,4,6,7,8,5,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,3,8,2,7,1,4,6] => [2,4,1,6,7,8,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,4,8,2,7,1,3,6] => [4,2,1,6,7,8,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,4,8,3,7,1,2,6] => [2,1,6,4,7,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,8,2,7,1,3,5] => [4,2,6,1,7,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,8,3,7,1,2,5] => [2,6,4,1,7,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,8,2,7,1,3,4] => [4,6,2,1,7,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,8,3,5,1,2,6] => [2,6,4,7,5,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,8,2,4,1,3,6] => [4,6,2,7,5,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,8,3,4,1,2,6] => [6,4,2,7,5,1,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,8,2,6,1,3,5] => [4,2,6,7,1,8,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,5,8,2,6,1,3,4] => [4,6,2,7,1,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,3,6,1,2,4] => [6,4,2,7,1,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,8,4,6,1,2,3] => [6,2,7,4,1,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,8,3,5,1,2,4] => [6,4,7,2,1,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,4,6,2,5,1,3,7] => [4,2,6,7,5,3,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,6,2,4,1,3,7] => [4,6,2,7,5,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,7,3,5,1,2,6] => [2,6,4,7,5,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,2,4,1,3,6] => [4,6,2,7,5,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,7,2,6,1,3,5] => [4,2,6,7,8,5,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,4,7,3,6,1,2,5] => [2,6,4,7,8,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,7,2,6,1,3,4] => [4,6,2,7,8,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,6,7,3,5,1,2,4] => [6,4,7,2,8,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,4,3,2,7,1,6,8] => [4,3,2,1,6,7,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,4,3,2,7,1,5,8] => [4,3,2,6,1,7,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,2,7,1,4,8] => [4,3,6,2,1,7,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,4,2,7,1,3,8] => [4,6,3,2,1,7,5,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,5,3,2,6,1,4,8] => [4,3,6,2,7,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,4,2,6,1,3,8] => [4,6,3,2,7,5,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,3,2,8,1,6,7] => [4,3,2,1,6,7,8,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,5,3,2,8,1,4,7] => [4,3,6,2,1,7,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,4,3,8,1,2,7] => [6,4,3,2,1,7,8,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,5,3,2,8,1,4,6] => [4,3,6,2,7,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,2,8,1,3,6] => [4,6,3,2,7,1,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,3,2,8,1,4,5] => [4,3,6,7,2,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,4,3,8,1,2,5] => [6,4,3,7,2,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,5,3,8,1,2,4] => [6,4,7,3,2,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,3,2,6,1,4,7] => [4,3,6,2,7,5,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,2,6,1,3,7] => [4,6,3,2,7,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,3,2,5,1,4,7] => [4,3,6,7,5,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,4,2,5,1,3,7] => [4,6,3,7,5,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,3,2,7,1,4,6] => [4,3,6,2,7,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,4,2,7,1,3,5] => [4,6,3,7,2,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,4,3,7,1,2,5] => [6,4,3,7,2,8,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,5,3,7,1,2,4] => [6,4,7,3,2,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,3,2,5,1,4,6] => [4,3,6,7,5,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,2,6,1,4,5] => [4,3,6,7,8,5,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,4,2,6,1,3,5] => [4,6,3,7,8,5,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,4,3,6,1,2,5] => [6,4,3,7,8,5,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,5,3,6,1,2,4] => [6,4,7,3,8,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,3,5,1,2,4] => [6,4,7,8,5,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,3,7,2,6,1,4] => [3,1,5,7,8,6,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,8,4,7,2,6,1,3] => [1,5,3,7,8,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,3,7,2,5,1,4] => [3,5,1,7,8,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,4,7,2,5,1,3] => [5,3,1,7,8,6,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,4,7,3,5,1,2] => [3,1,7,5,8,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,5,7,2,4,1,3] => [5,1,7,3,8,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,5,7,3,4,1,2] => [1,7,5,3,8,6,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,4,6,2,5,1,3] => [5,3,7,1,8,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,4,6,3,5,1,2] => [3,7,5,1,8,6,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,6,2,4,1,3] => [5,7,3,1,8,6,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,4,3,8,2,7,1,6] => [3,2,1,5,7,8,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,4,3,8,2,7,1,5] => [3,2,5,1,7,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,3,8,2,7,1,4] => [3,5,2,1,7,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,4,8,2,7,1,3] => [5,3,2,1,7,8,6,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,4,8,3,7,1,2] => [3,2,1,7,5,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,4,3,8,2,6,1,5] => [3,2,5,7,1,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,5,3,8,2,6,1,4] => [3,5,2,7,1,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,4,8,2,6,1,3] => [5,3,2,7,1,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,4,8,2,5,1,3] => [5,3,7,2,1,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,5,8,2,4,1,3] => [5,7,3,2,1,8,6,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,4,3,7,2,6,1,5] => [3,2,5,7,8,6,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,5,3,7,2,6,1,4] => [3,5,2,7,8,6,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,4,7,2,6,1,3] => [5,3,2,7,8,6,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,4,7,3,6,1,2] => [3,2,7,5,8,6,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,4,7,2,5,1,3] => [5,3,7,2,8,6,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,5,7,2,4,1,3] => [5,7,3,2,8,6,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,4,6,2,5,1,3] => [5,3,7,8,6,4,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,4,6,3,5,1,2] => [3,7,5,8,6,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,5,6,2,4,1,3] => [5,7,3,8,6,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,5,4,3,2,8,1,7] => [5,4,3,2,1,7,8,6] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,6,4,3,2,8,1,5] => [5,4,3,7,2,1,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,5,4,2,8,1,3] => [5,7,4,3,2,1,8,6] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,4,3,2,7,1,6] => [5,4,3,2,7,8,6,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,6,4,3,2,7,1,5] => [5,4,3,7,2,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,5,3,2,7,1,4] => [5,4,7,3,2,8,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,5,4,2,7,1,3] => [5,7,4,3,2,8,6,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,3,2,6,1,5] => [5,4,3,7,8,6,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,5,3,2,6,1,4] => [5,4,7,3,8,6,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,5,4,2,6,1,3] => [5,7,4,3,8,6,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,6,3,2,5,1,4] => [5,4,7,8,6,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,4,2,5,1,3] => [5,7,4,8,6,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,1,2,3,4,7,5,6] => [7,8,2,3,4,5,6,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,1,2,3,6,4,5,7] => [6,7,2,3,4,5,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,1,2,3,8,7,4,6] => [7,8,6,2,1,3,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,1,2,3,6,7,4,5] => [7,5,8,2,3,4,6,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,2,8,3,7,5,6] => [7,1,8,5,6,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,1,2,5,3,4,8,6] => [8,5,2,3,4,6,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,1,2,6,3,4,8,5] => [8,5,6,2,3,4,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,2,5,3,8,4,7] => [7,4,8,2,3,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,2,6,3,7,4,5] => [7,8,5,2,3,4,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,1,2,5,3,7,8,4] => [6,4,8,2,3,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,8,6,3,5,7] => [6,1,7,5,8,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,8,7,3,5,6] => [6,1,7,8,5,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,2,7,6,3,8,5] => [1,8,6,5,2,3,4,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,1,2,5,6,3,4,7] => [6,4,7,2,3,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,2,5,7,3,4,6] => [6,4,7,8,2,3,5,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,1,2,5,6,3,8,4] => [4,8,6,2,3,5,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,1,2,5,8,7,3,6] => [7,1,8,4,6,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,8,6,7,3,5] => [1,7,5,8,6,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,2,5,6,7,3,4] => [4,7,5,8,2,3,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,1,7,2,6,4,8,5] => [8,1,6,4,5,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,8,2,6,7,4,5] => [7,1,5,8,4,6,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,4,2,3,5,6,7] => [4,5,2,3,6,7,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,1,4,2,3,5,8,6] => [8,4,2,3,5,6,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,1,4,2,3,8,5,7] => [7,3,8,2,4,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,4,2,3,7,5,6] => [7,3,8,2,4,5,6,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,1,4,2,3,7,8,5] => [6,3,8,2,4,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,1,5,2,3,4,8,6] => [8,4,5,2,3,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,5,2,3,8,4,7] => [7,8,4,2,3,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,1,5,2,3,7,4,6] => [7,8,4,2,3,5,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,1,8,2,3,7,4,5] => [7,8,4,5,1,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,5,2,3,7,8,4] => [6,8,4,2,3,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,4,2,8,3,6,7] => [6,3,7,1,8,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,2,7,3,8,6] => [3,8,6,2,1,4,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,1,4,2,6,3,5,7] => [6,3,7,2,4,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,4,2,7,3,5,6] => [6,3,7,8,2,4,5,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,1,4,2,6,3,8,5] => [3,8,6,2,4,5,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,5,2,6,3,4,7] => [6,7,4,2,3,5,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,5,2,7,3,4,6] => [6,7,3,8,2,4,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,5,2,6,3,8,4] => [8,6,4,2,3,5,1,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,1,4,2,6,8,3,7] => [5,3,7,1,8,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,2,8,7,3,6] => [3,7,1,8,6,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,4,2,6,7,3,5] => [3,7,5,8,2,4,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,5,2,6,7,3,4] => [7,5,3,8,2,4,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,4,2,6,7,8,3] => [5,3,6,1,8,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,7,5,2,4,8,6] => [8,1,5,4,6,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,7,6,2,4,8,5] => [8,1,5,6,4,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,8,5,2,7,4,6] => [7,1,4,8,5,6,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,8,6,2,7,4,5] => [7,8,1,5,4,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,6,5,2,7,8,4] => [6,1,4,3,8,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,4,5,2,3,6,7] => [5,3,6,2,4,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,1,4,5,2,3,8,6] => [3,8,5,2,4,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,4,6,2,3,5,7] => [5,3,6,7,2,4,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,1,4,8,2,3,5,6] => [5,3,6,7,8,2,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,1,4,6,2,3,8,5] => [3,8,5,6,2,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,5,2,3,8,4] => [8,5,6,4,2,3,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,4,5,2,8,3,7] => [3,7,4,8,2,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,4,5,2,7,3,6] => [3,7,4,8,2,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,6,5,2,7,3,4] => [7,8,5,4,2,3,6,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,1,4,5,2,7,8,3] => [3,6,4,8,2,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,4,7,6,2,8,5] => [8,1,6,3,5,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,8,5,6,2,4,7] => [6,1,4,7,5,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,8,5,7,2,4,6] => [6,1,4,7,8,5,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,1,7,5,6,2,8,4] => [4,8,1,6,5,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,4,5,6,2,3,7] => [3,6,4,7,2,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,4,5,7,2,3,6] => [3,6,4,7,8,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,7,5,6,2,3,4] => [6,7,4,8,5,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,4,8,6,7,2,5] => [7,1,5,8,3,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,8,5,6,7,2,4] => [4,7,1,5,8,6,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,1,3,4,7,5,6] => [7,8,1,3,4,5,6,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,8,1,3,6,4,5,7] => [6,7,1,3,4,5,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,5,1,3,8,7,4,6] => [7,2,8,1,6,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,7,1,5,3,4,8,6] => [8,5,1,3,4,6,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,7,1,6,3,4,8,5] => [8,5,6,1,3,4,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,1,5,3,8,4,7] => [7,4,8,1,3,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,1,5,3,7,4,6] => [7,4,8,1,3,5,6,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,1,6,3,7,4,5] => [7,8,5,1,3,4,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,1,5,3,7,8,4] => [6,4,8,1,3,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,1,5,6,3,4,7] => [6,4,7,1,3,5,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,1,5,7,3,4,6] => [6,4,7,8,1,3,5,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,1,5,6,3,8,4] => [4,8,6,1,3,5,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,4,1,8,6,7,3,5] => [7,2,5,8,1,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,1,5,6,7,3,4] => [4,7,5,8,1,3,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,1,2,4,5,8,6] => [8,3,2,4,5,6,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,3,1,2,4,8,5,7] => [7,2,8,3,4,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,1,2,4,7,5,6] => [7,2,8,3,4,5,6,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,1,2,8,4,6,7] => [6,2,7,1,8,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,2,7,4,8,6] => [2,8,6,3,1,4,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,3,1,2,6,4,5,7] => [6,2,7,3,4,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,1,2,7,4,5,6] => [6,2,7,8,3,4,5,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,1,2,6,4,8,5] => [2,8,6,3,4,5,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,1,2,6,8,4,7] => [5,2,7,1,8,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,2,8,7,4,6] => [2,7,1,8,6,3,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,1,2,6,7,4,5] => [2,7,5,8,3,4,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,1,2,6,7,8,4] => [5,2,6,1,8,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,4,1,2,3,5,8,6] => [8,3,4,2,5,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,4,1,2,3,8,5,7] => [7,8,3,2,4,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,4,1,2,3,7,5,6] => [7,8,3,2,4,5,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,4,1,2,3,7,8,5] => [6,8,3,2,4,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,6,1,2,3,4,8,5] => [8,3,4,5,6,2,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,8,1,2,3,7,4,6] => [7,8,3,1,4,5,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,6,1,2,3,7,4,5] => [7,8,3,4,5,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,1,2,8,3,6,7] => [6,7,2,1,8,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,4,1,2,7,3,8,6] => [8,6,3,2,1,4,5,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[8,4,1,2,6,3,5,7] => [6,7,3,2,4,5,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,4,1,2,7,3,5,6] => [6,7,2,8,3,4,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,1,2,6,3,8,5] => [8,6,3,2,4,5,1,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,8,1,2,6,3,4,7] => [6,7,3,1,4,5,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,1,2,7,3,4,6] => [6,7,1,8,3,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,1,2,6,3,8,4] => [8,6,3,1,4,5,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,4,1,2,6,8,3,7] => [5,7,2,1,8,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,4,1,2,8,7,3,6] => [7,2,1,8,6,3,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,4,1,2,6,7,3,5] => [7,5,2,8,3,4,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,1,2,6,7,3,4] => [7,5,1,8,3,4,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,1,2,6,7,8,3] => [5,6,2,1,8,3,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,1,8,2,5,6,7] => [5,2,1,6,7,8,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,1,6,2,8,5,7] => [2,1,7,4,8,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,8,2,7,5,6] => [2,1,7,8,5,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,6,2,7,8,5] => [2,1,6,4,8,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,1,5,2,4,6,7] => [5,2,6,3,4,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,3,1,5,2,4,8,6] => [2,8,5,3,4,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,3,1,6,2,4,5,7] => [5,2,6,7,3,4,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,1,8,2,4,5,6] => [5,2,6,7,8,3,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,3,1,6,2,4,8,5] => [2,8,5,6,3,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,1,5,2,8,4,7] => [2,7,4,8,3,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,1,5,2,7,4,6] => [2,7,4,8,3,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,1,5,2,7,8,4] => [2,6,4,8,3,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,4,1,5,2,3,8,6] => [8,5,3,2,4,6,1,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,4,1,6,2,3,5,7] => [5,6,2,7,3,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,1,8,2,3,5,6] => [5,6,2,7,8,3,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,1,6,2,3,8,5] => [8,5,2,6,3,4,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,1,5,2,3,8,4] => [8,5,6,3,1,4,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,1,5,2,8,3,7] => [7,4,2,8,3,1,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,4,1,5,2,7,3,6] => [7,4,2,8,3,5,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,4,1,6,2,7,3,5] => [7,2,8,5,3,4,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,1,5,2,7,3,4] => [7,8,5,3,1,4,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,1,5,2,7,8,3] => [6,4,2,8,3,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,3,1,5,8,2,6,7] => [4,2,1,6,7,8,3,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,1,5,7,2,8,6] => [2,1,8,4,6,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,8,6,2,5,7] => [2,1,6,7,5,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,8,7,2,5,6] => [2,1,6,7,8,5,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,3,1,7,6,2,8,5] => [1,8,2,6,5,3,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,1,5,6,2,4,7] => [2,6,4,7,3,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,1,5,7,2,4,6] => [2,6,4,7,8,3,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,1,5,6,2,3,7] => [6,4,2,7,3,5,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,4,1,5,7,2,3,6] => [6,4,2,7,8,3,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,1,7,6,2,3,5] => [6,2,7,8,5,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,1,5,6,2,3,4] => [6,7,4,8,3,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,1,5,6,2,8,3] => [4,2,8,6,3,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,3,1,5,6,8,2,7] => [4,2,1,5,7,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,1,5,8,7,2,6] => [2,1,7,8,4,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,8,6,7,2,5] => [1,7,2,5,8,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,4,1,5,6,7,2,3] => [4,2,7,5,8,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,1,5,6,7,8,2] => [4,2,1,5,6,8,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,8,1,4,7,5,6] => [7,8,1,2,4,5,6,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,8,1,6,4,5,7] => [6,7,1,2,4,5,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,7,1,6,4,8,5] => [8,6,1,2,4,5,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,8,1,6,7,4,5] => [7,5,8,1,2,4,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,4,1,3,5,6,7] => [4,5,1,3,6,7,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,7,4,1,3,5,8,6] => [8,4,1,3,5,6,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,6,4,1,3,8,5,7] => [7,3,8,1,4,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,4,1,3,7,5,6] => [7,3,8,1,4,5,6,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,6,4,1,3,7,8,5] => [6,3,8,1,4,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,5,1,3,8,4,7] => [7,8,4,1,3,2,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,8,5,1,3,7,4,6] => [7,8,4,1,3,5,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,8,1,3,7,4,5] => [7,8,4,1,2,5,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,5,1,3,7,8,4] => [6,8,4,1,3,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,5,4,1,8,3,6,7] => [6,3,1,2,7,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,4,1,7,3,8,6] => [3,2,8,1,6,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,4,1,7,3,5,6] => [6,3,7,8,1,4,5,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,4,1,6,3,8,5] => [3,8,6,1,4,5,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,5,1,6,3,4,7] => [6,7,4,1,3,5,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,5,1,7,3,4,6] => [6,7,3,8,1,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,5,1,6,3,8,4] => [8,6,4,1,3,5,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,5,4,1,6,8,3,7] => [5,3,1,2,7,8,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,4,1,8,7,3,6] => [3,2,7,8,1,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,4,1,6,7,3,5] => [3,7,5,8,1,4,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,5,1,6,7,3,4] => [7,5,3,8,1,4,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,4,1,6,7,8,3] => [5,3,1,2,6,8,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,3,4,1,2,5,8,6] => [2,8,4,3,5,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,3,4,1,2,8,5,7] => [2,7,3,8,4,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,4,1,2,7,5,6] => [2,7,3,8,4,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,4,1,2,7,8,5] => [2,6,3,8,4,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,3,5,1,2,4,8,6] => [2,8,4,5,3,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,7,1,2,4,8,5] => [2,8,4,5,1,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,4,1,2,3,8,6] => [8,4,5,3,2,6,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,4,1,2,3,8,5] => [8,4,5,3,1,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,5,1,2,3,8,4] => [8,4,5,1,6,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,4,1,2,8,3,7] => [7,8,4,3,2,1,5,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,5,4,1,2,7,3,6] => [7,8,4,3,2,5,6,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,8,4,1,2,7,3,5] => [7,8,4,3,1,5,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,8,5,1,2,7,3,4] => [7,8,4,1,5,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,4,1,2,7,8,3] => [6,8,4,3,2,1,5,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,3,4,1,8,2,6,7] => [2,6,3,1,7,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,4,1,7,2,8,6] => [2,3,1,8,6,4,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,4,1,6,2,5,7] => [2,6,3,7,4,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,4,1,7,2,5,6] => [2,6,3,7,8,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,5,1,6,2,8,4] => [8,2,6,4,3,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,4,1,6,2,3,7] => [6,7,4,3,2,5,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,4,1,7,2,3,6] => [6,7,3,2,8,4,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,4,1,6,2,3,5] => [6,7,3,8,4,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,4,1,6,2,8,3] => [8,6,4,3,2,5,1,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,3,4,1,6,8,2,7] => [2,5,3,1,7,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,4,1,8,7,2,6] => [2,3,1,7,8,6,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,5,1,6,7,2,4] => [7,2,5,3,8,4,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,1,6,7,2,3] => [7,5,3,2,8,4,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,3,4,1,6,7,8,2] => [2,5,3,1,6,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,4,8,1,7,5,6] => [7,8,1,2,3,5,6,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,8,5,1,4,6,7] => [5,6,1,2,4,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,7,5,1,4,8,6] => [8,5,1,2,4,6,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,7,6,1,4,8,5] => [8,5,6,1,2,4,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,6,5,1,8,4,7] => [7,4,1,2,3,8,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,8,5,1,7,4,6] => [7,4,8,1,2,5,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,6,1,7,4,5] => [7,8,5,1,2,4,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,6,5,1,7,8,4] => [6,4,1,2,3,8,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,8,4,5,1,3,6,7] => [5,3,6,1,4,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,4,5,1,3,8,6] => [3,8,5,1,4,6,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,4,6,1,3,5,7] => [5,3,6,7,1,4,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,4,8,1,3,5,6] => [5,3,6,7,1,2,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,4,6,1,3,8,5] => [3,8,5,6,1,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,6,5,1,3,8,4] => [8,5,6,4,1,3,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,4,5,1,8,3,7] => [3,7,4,1,2,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,4,5,1,7,3,6] => [3,7,4,8,1,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,5,1,7,3,4] => [7,8,5,4,1,3,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,6,4,5,1,7,8,3] => [3,6,4,1,2,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,3,6,5,1,2,8,4] => [8,2,5,6,4,3,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,4,5,1,2,8,3] => [8,5,3,6,4,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,3,6,5,1,7,2,4] => [7,8,2,5,4,3,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,5,1,7,2,3] => [7,3,8,5,4,2,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,3,4,8,6,1,5,7] => [6,7,1,2,3,5,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,7,6,1,8,5] => [8,6,1,2,3,5,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,8,5,6,1,4,7] => [6,4,7,1,2,5,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,5,7,1,4,6] => [6,4,7,8,1,2,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,7,5,6,1,8,4] => [4,8,6,1,2,5,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,4,5,6,1,3,7] => [3,6,4,7,1,5,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,5,7,1,3,6] => [3,6,4,7,8,1,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,7,5,6,1,3,4] => [6,7,4,8,5,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,7,5,6,1,2,4] => [6,7,2,4,8,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,3,4,5,8,7,1,6] => [7,8,1,2,3,4,6,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,8,6,7,1,5] => [7,5,8,1,2,3,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,5,6,7,1,4] => [4,7,5,8,1,2,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,2,6,1,4,8,7] => [8,1,3,2,5,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,2,6,4,1,8,7] => [5,1,3,2,4,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,2,7,4,8,1,6] => [5,1,2,7,3,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,2,7,4,8,6,1] => [2,8,1,5,3,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,7,2,3,8,1,6] => [1,4,2,5,7,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,6,2,3,1,8,7] => [1,4,2,5,3,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,6,2,1,3,8,7] => [1,4,2,8,5,3,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,1,6,4,2,8,7] => [5,1,4,2,8,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,6,1,3,2,8,7] => [1,5,2,8,4,3,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,7,3,8,2,5,1] => [4,1,2,6,3,8,7,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,7,3,8,2,1,5] => [4,1,2,7,6,3,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,3,8,1,2,5] => [6,1,4,2,7,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,7,1,3,8,2,6] => [1,5,2,7,8,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,1,7,4,8,2,6] => [5,1,2,7,4,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,5,7,4,8,6,3] => [8,3,5,1,4,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,1,7,4,8,6,2] => [2,8,1,5,4,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,7,3,8,1,5,2] => [4,1,2,8,6,3,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,3,8,5,1,2] => [4,1,2,7,3,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,7,3,8,5,2,1] => [2,8,1,4,3,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,7,8,1,3,4,2] => [1,6,2,8,5,3,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,7,1,8,3,5,2] => [6,1,2,8,7,4,3,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,1,7,8,4,5,2] => [6,4,1,2,8,7,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,1,6,7,8,4,5,3] => [3,6,4,8,1,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,6,7,8,4,3,5] => [3,7,6,1,4,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,1,7,8,4,2,5] => [7,6,1,4,2,8,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,7,1,8,3,2,5] => [7,1,6,2,8,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,8,1,3,2,4] => [1,7,5,2,6,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,5,7,2,1,8,3,6] => [1,4,2,7,8,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,7,2,8,3,1,5] => [7,1,4,2,6,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,2,8,3,5,1] => [6,1,2,8,4,3,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,2,7,8,4,5,1] => [6,4,1,2,8,3,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,2,7,8,4,1,5] => [7,6,1,3,2,4,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,2,7,8,1,4,5] => [6,7,1,3,2,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,2,7,1,8,4,6] => [7,1,2,8,3,5,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,2,7,1,8,6,4] => [2,8,1,7,3,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,7,8,1,5,4] => [8,6,1,3,2,4,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,2,7,8,5,1,4] => [7,4,1,2,8,3,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,2,7,8,5,4,1] => [4,2,8,1,7,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,2,8,5,3,1] => [2,8,1,7,4,3,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,7,2,8,5,1,3] => [7,1,2,8,4,3,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,2,8,1,5,3] => [8,1,4,2,6,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,1,7,2,8,6,4] => [2,8,1,7,5,3,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,1,5,7,3,8,6,4] => [8,3,7,1,5,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,6,7,8,3,5,4] => [3,8,6,1,4,7,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,1,7,8,2,5,4] => [8,6,1,4,2,7,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,7,1,8,2,5,3] => [8,1,6,2,7,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,8,1,2,4,3] => [1,8,5,2,6,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,7,8,2,1,4,3] => [1,5,2,8,6,3,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,7,8,2,4,1,3] => [1,5,2,7,3,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,7,8,1,4,2,3] => [1,7,2,8,5,3,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,7,1,8,5,2,3] => [7,1,2,8,6,4,3,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,1,7,8,5,2,4] => [7,4,1,2,8,6,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,1,6,7,8,5,3,4] => [3,7,4,8,1,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,7,8,5,4,2] => [4,2,8,1,7,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,7,1,8,5,3,2] => [2,8,1,7,6,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,8,7,3,4,1,2] => [2,1,7,5,8,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,6,7,4,5,8,1,2] => [4,2,7,1,5,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,7,4,5,1,8,3] => [4,2,8,6,1,5,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,7,4,5,2,3,8] => [6,4,2,7,5,1,3,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,5,4,7,6,2,3,8] => [3,2,6,7,5,1,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,4,7,6,1,8,3] => [2,8,3,6,1,5,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,4,7,6,8,1,2] => [2,7,1,3,5,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,3,8,7,6,1,2] => [2,1,7,8,3,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,4,8,3,7,5,1,2] => [2,4,1,7,8,6,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,3,8,4,5,7,1,2] => [4,7,2,1,5,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,4,8,6,7,1,2] => [7,2,1,3,5,8,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,3,5,6,8,7,1,2] => [2,1,3,4,7,8,6,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,2,5,6,8,1,7,3] => [3,1,4,8,2,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,4,8,6,1,7,3] => [8,3,1,6,2,5,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,8,4,5,1,7,3] => [4,8,6,2,1,5,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,8,2,4,5,1,6,3] => [4,8,3,6,5,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,1,4,5,2,3,6] => [6,4,7,3,5,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,8,4,5,2,3,7] => [6,4,7,5,1,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,4,8,6,2,3,7] => [3,6,1,7,5,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,3,2,8,6,5,7] => [7,3,1,6,8,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,3,8,2,6,4,7] => [7,3,5,1,6,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,8,3,2,5,4,7] => [4,7,5,6,1,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,1,3,2,5,4,6] => [4,7,3,5,6,1,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,3,8,1,6,7,4] => [6,8,2,1,3,5,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,3,8,2,1,7,5,4] => [8,2,4,1,7,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,2,1,6,5,4] => [3,8,4,7,5,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,4,2,6,1,5,3] => [8,4,3,6,1,7,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,2,8,7,1,6,3] => [2,1,8,6,7,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,3,7,1,6,8,4] => [6,2,8,1,3,5,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,3,7,2,6,4,8] => [7,3,2,5,6,1,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,7,3,2,5,4,8] => [4,7,5,2,6,1,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,7,3,1,5,8,4] => [4,6,2,8,1,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,7,2,1,8,5,4] => [8,4,1,2,7,5,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,8,5,6,2,1,4,3] => [5,8,6,3,1,7,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,7,1,2,3,4] => [5,6,2,1,7,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,1,8,7,2,3,6] => [6,2,1,7,8,5,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,8,1,7,2,3,5] => [6,2,7,1,8,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,1,2,6,4,5] => [7,3,8,4,5,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,1,8,2,7,4,6] => [2,7,1,8,5,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,2,8,7,5,6] => [2,1,7,8,6,3,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,1,3,8,5,7,6] => [8,2,1,6,7,3,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,2,1,8,3,4,7,6] => [8,2,5,1,6,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,8,1,3,4,7,5] => [8,2,4,5,1,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,8,2,1,3,4,6,5] => [3,8,4,5,6,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,1,2,6,5,8,7] => [5,2,1,8,3,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,3,1,6,2,4,8,7] => [2,8,5,3,1,4,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,3,1,5,2,4,8,7] => [2,8,5,3,4,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,3,1,5,2,8,4,6] => [2,7,4,8,3,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,5,1,2,7,3,6] => [7,2,8,4,3,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,5,1,2,8,3,6] => [7,2,8,4,3,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,5,1,2,3,8,7] => [8,4,2,5,3,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,6,1,2,3,8,7] => [8,4,2,1,5,3,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,6,5,3,4,8,7] => [8,5,1,4,2,3,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,6,1,5,2,4,8,7] => [8,1,5,3,4,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,5,1,2,3,8,7] => [1,8,4,5,3,2,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,4,1,2,3,8,7] => [8,4,1,5,3,2,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,5,4,1,2,3,8,7] => [8,4,5,3,2,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,5,4,1,2,8,3,6] => [7,8,4,3,2,5,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,6,4,1,7,2,3,5] => [6,7,3,8,4,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,1,8,2,3,5] => [6,7,3,8,4,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,4,1,8,2,3,5] => [6,7,3,1,8,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,4,1,2,8,3,6] => [7,1,8,4,3,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,1,5,2,8,4,6] => [7,1,4,8,3,5,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,7,5,3,8,4,6] => [7,4,8,1,5,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,8,5,3,7,4,6] => [7,4,8,1,5,6,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,8,1,5,2,7,4,6] => [7,1,4,8,3,5,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,8,4,1,2,7,3,6] => [7,1,8,4,3,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,4,1,7,2,3,5] => [6,7,3,1,8,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,4,1,6,2,3,5] => [6,7,3,8,4,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,6,7,1,2,3,4] => [5,1,6,7,3,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,1,6,7,2,4,5] => [6,7,1,4,8,3,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,1,8,6,7,3,4,5] => [6,7,4,8,1,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,7,6,8,3,4,5] => [6,7,4,1,3,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,1,6,8,2,4,5] => [6,7,1,4,8,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,6,8,1,2,3,4] => [5,1,6,7,3,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,7,1,2,8,3,6] => [7,2,1,8,4,5,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,7,1,8,2,3,5] => [6,2,7,1,8,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,6,1,8,2,3,5] => [6,2,7,8,4,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,4,6,1,7,2,3,5] => [6,2,7,8,4,3,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,1,7,2,8,4,6] => [2,7,1,8,5,3,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,1,2,7,8,5,6] => [2,1,7,5,8,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,4,3,8,7,5,6] => [7,8,1,3,6,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,4,7,1,6,2,3,5] => [6,2,7,8,4,5,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,4,8,1,6,2,3,5] => [6,2,7,8,4,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,1,2,7,3,6] => [7,2,1,8,4,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,5,8,1,2,7,3,6] => [1,7,2,8,4,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,1,8,2,7,4,6] => [7,1,2,8,5,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,6,8,7,3,4,5] => [6,3,7,8,1,5,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,1,8,7,2,4,5] => [6,7,1,2,8,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,6,8,7,1,2,3,4] => [5,1,6,2,7,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,5,8,6,1,2,3,4] => [5,6,2,7,1,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,6,1,2,3,4] => [5,6,2,7,8,4,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,7,8,6,1,2,3,4] => [5,1,6,7,2,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,7,8,6,3,4,5] => [6,7,3,8,1,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,7,6,1,2,3,4] => [5,1,6,7,8,4,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,8,7,5,1,2,3,4] => [5,6,1,7,8,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,4,7,3,8,5,1,2] => [2,4,1,7,3,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,3,5,8,1,2] => [2,4,1,7,5,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,7,2,5,1,8,3] => [2,8,4,1,6,5,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,2,7,6,1,3,8] => [6,2,1,7,3,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,2,7,6,1,8,3] => [2,1,8,6,3,5,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,3,7,6,8,1,2] => [2,1,7,3,5,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,7,8,6,1,2] => [2,1,7,3,4,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,8,3,5,7,1,2] => [2,4,1,7,5,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,3,8,6,7,1,2] => [2,1,7,3,5,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,3,6,8,7,1,2] => [3,2,1,4,7,8,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,4,2,6,7,1,8,3] => [4,2,1,8,3,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,2,6,7,1,3,8] => [6,3,2,1,4,7,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,3,2,6,1,7,8,4] => [2,6,3,1,4,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,2,6,1,8,7,4] => [2,4,1,8,3,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,2,6,8,1,7,3] => [4,2,1,8,3,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,2,8,6,1,7,3] => [2,1,8,6,3,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,8,2,5,1,7,3] => [2,8,4,1,6,5,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,4,2,5,1,6,3] => [8,4,3,6,5,1,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,4,2,5,1,3,6] => [4,6,3,7,5,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,2,8,6,1,3,7] => [6,2,1,7,3,5,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,2,6,1,8,4,7] => [2,7,3,1,4,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,2,1,6,8,5,7] => [3,2,1,5,7,8,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,2,1,8,6,5,7] => [2,1,7,3,6,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,8,1,6,4,7] => [2,7,3,1,5,6,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,3,2,1,5,4,6] => [4,3,7,5,6,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,2,1,5,6,4] => [4,3,6,8,5,1,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,2,8,1,6,7,4] => [2,6,1,8,3,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,2,7,8,1,6,3] => [2,1,8,6,3,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,2,7,1,8,6,4] => [8,2,1,7,3,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,7,2,8,1,5,3] => [2,8,4,1,6,3,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,7,8,2,1,4,3] => [5,2,1,8,6,3,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,8,7,2,1,3,4] => [6,5,2,1,7,8,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,3,7,2,1,4,5,8] => [2,5,4,6,1,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,7,1,4,8,6] => [2,8,3,1,5,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,2,8,7,1,3,6] => [6,2,1,7,8,3,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,4,2,6,1,3,5] => [4,6,3,7,1,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,2,1,6,4,5] => [4,3,7,8,5,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,3,2,1,8,7,5,6] => [2,1,7,8,3,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,2,1,7,5,8,6] => [2,1,8,3,6,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,2,1,7,5,6,8] => [3,2,1,6,7,4,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,3,2,1,8,5,7,6] => [2,1,8,3,6,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,8,1,4,7,6] => [2,8,3,1,5,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,3,2,1,4,6,5] => [4,3,8,5,6,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,8,2,1,4,5,7] => [2,5,4,6,1,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,2,1,8,5,6,7] => [3,2,1,6,7,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,2,1,5,8,6,7] => [3,2,1,7,8,4,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,8,5,6,1,2,4,3] => [8,5,6,3,1,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,4,1,6,2,5,3] => [8,6,3,7,4,1,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,1,4,6,2,5,3] => [4,8,6,7,3,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,8,4,7,2,5,3] => [4,8,6,1,7,5,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,8,4,7,2,5,3] => [4,2,8,6,7,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,8,3,2,7,5,4] => [8,4,2,7,5,6,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,8,3,2,7,5,4] => [8,4,7,5,1,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,1,3,2,6,5,4] => [8,4,7,3,5,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,1,2,6,5,4] => [3,8,7,4,5,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,2,4,6,1,5,3] => [4,8,3,6,1,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,2,3,1,6,5,4] => [8,3,4,7,5,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,2,1,3,6,5,4] => [8,3,7,4,5,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,1,2,3,6,5,4] => [8,7,3,4,5,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,1,8,2,3,7,5,4] => [8,7,4,5,1,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,8,2,3,7,5,4] => [8,7,4,2,5,6,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,2,8,3,7,6,4] => [2,8,7,5,6,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,8,3,7,6,4] => [8,7,5,1,6,2,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,2,1,8,3,7,6,4] => [8,7,2,1,5,6,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,2,8,1,3,7,5,4] => [8,7,2,4,1,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,8,3,1,7,5,4] => [8,4,7,2,1,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,8,4,7,1,5,3] => [4,8,6,1,7,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,8,4,7,5,1,2] => [4,7,1,8,2,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,8,4,7,5,1,2] => [4,2,7,8,1,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,8,4,7,1,5,3] => [4,2,8,6,7,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,3,1,7,5,4] => [8,4,2,7,1,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,8,1,3,7,5,4] => [8,7,4,1,2,5,6,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,5,1,8,3,7,6,4] => [2,8,7,1,5,6,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,2,5,8,3,7,6,4] => [8,3,7,5,6,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,1,3,8,7,6,5] => [8,2,7,1,6,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,3,8,1,7,6,4] => [2,8,7,1,3,5,6,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,4,8,7,1,6,3] => [2,8,3,6,7,1,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,4,8,7,6,1,2] => [7,1,8,2,3,6,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,2,4,8,7,1,6,3] => [8,3,1,6,7,2,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,3,8,1,7,6,4] => [8,7,2,1,3,5,6,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,2,1,3,8,7,6,5] => [1,8,7,2,6,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,2,3,8,7,6,5] => [1,8,7,6,2,3,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,4,2,3,8,7,6,5] => [8,2,7,6,1,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,3,2,8,7,6,5] => [1,8,7,3,6,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,1,2,8,7,6,5] => [1,8,2,7,6,3,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,8,1,2,7,5,4] => [8,2,7,4,1,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,1,8,2,7,6,4] => [8,2,1,7,5,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,3,8,2,7,6,4] => [8,7,3,1,5,6,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,3,8,2,7,6,4] => [2,8,7,3,5,6,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,4,8,7,2,6,3] => [2,8,3,6,7,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,1,4,8,7,2,6,3] => [8,3,1,6,7,5,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,4,1,8,7,2,6,3] => [2,1,8,6,7,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,8,1,7,2,5,3] => [2,8,6,1,7,4,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,8,7,1,2,4,3] => [8,5,2,1,6,7,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,6,8,7,2,1,4,3] => [1,5,2,8,6,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,5,8,7,2,6,3] => [1,8,3,6,7,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,5,8,7,2,6,3] => [8,2,3,6,7,5,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,3,5,8,2,7,6,4] => [8,3,7,2,5,6,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,5,8,2,7,6,4] => [8,1,3,7,5,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,8,1,2,7,5,4] => [8,7,1,4,2,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,8,2,1,7,5,4] => [8,4,1,2,7,5,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,8,2,7,1,5,3] => [8,1,4,2,6,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,6,8,3,7,5,1,2] => [4,1,2,7,8,6,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,5,2,8,1,7,6,4] => [2,8,1,7,3,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,1,4,2,8,7,6,5] => [8,1,7,3,6,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,2,4,8,7,6,5] => [8,1,7,6,2,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,2,5,8,1,7,6,4] => [8,1,3,7,2,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,5,8,7,1,6,3] => [1,8,3,6,7,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,5,8,7,6,1,2] => [7,8,1,2,3,6,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,4,5,8,7,1,6,3] => [8,2,3,6,7,1,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,3,5,8,1,7,6,4] => [8,3,7,1,2,5,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,3,2,6,5,8,7] => [3,5,1,8,2,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[8,1,4,2,5,3,7,6] => [5,3,8,2,4,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,1,4,2,5,3,8,6] => [5,3,8,2,4,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,4,2,5,3,8,7] => [5,3,8,2,4,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,2,6,3,8,7] => [5,3,8,2,1,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,1,6,3,5,4,8,7] => [5,8,1,4,2,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,6,2,5,3,8,7] => [5,1,8,4,2,3,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,2,5,1,4,3,8,7] => [5,8,2,4,3,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,2,6,1,4,3,8,7] => [5,8,2,1,4,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,7,1,4,3,8,6] => [5,8,2,1,4,6,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,8,1,4,3,7,6] => [5,8,2,1,4,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,2,8,1,4,3,7,5] => [5,8,2,4,1,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,7,1,4,3,8,5] => [5,8,2,4,1,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,6,1,4,3,8,5] => [5,8,2,4,6,3,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,5,1,4,3,8,6] => [5,8,2,4,3,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,2,5,3,8,6] => [5,1,8,4,6,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,7,3,5,4,8,6] => [5,8,1,4,6,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,8,3,5,4,7,6] => [5,8,1,4,6,7,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,8,2,5,3,7,6] => [5,1,8,4,6,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,5,1,4,3,7,6] => [5,8,2,4,3,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,6,1,4,3,7,5] => [5,8,2,4,6,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,4,3,8,2,6,5] => [3,8,4,6,7,2,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,1,4,3,7,2,6,5] => [3,8,4,6,7,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,5,3,7,2,6,4] => [8,4,3,6,7,2,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,5,3,8,2,6,4] => [8,4,3,6,7,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,6,1,5,3,7,4] => [8,6,2,4,5,3,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,1,8,2,6,3,7,4] => [8,6,4,1,5,7,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,1,8,2,6,3,7,5] => [1,8,6,4,5,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,8,2,6,4,7,5] => [8,1,6,4,5,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,8,3,6,4,7,5] => [8,6,1,4,5,7,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,7,3,6,4,8,5] => [8,6,1,4,5,2,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,7,2,6,3,8,5] => [1,8,6,4,5,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,7,2,6,3,8,4] => [8,6,4,1,5,2,3,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,2,6,1,5,3,8,4] => [8,6,2,4,5,3,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,2,7,1,5,3,8,4] => [8,6,2,4,1,5,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,8,1,5,3,7,4] => [8,6,2,4,1,5,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,5,2,6,3,7,4] => [8,6,4,2,3,5,7,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,1,5,2,7,3,8,4] => [8,6,4,2,3,1,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,4,2,7,3,8,5] => [3,8,6,2,4,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,1,4,2,6,3,7,5] => [3,8,6,2,4,5,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,3,2,6,4,7,5] => [8,3,6,2,4,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,1,3,2,6,4,8,5] => [8,3,6,2,4,5,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,3,2,7,4,8,5] => [8,3,6,2,4,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,3,2,7,4,8,6] => [8,3,6,2,1,4,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,3,2,7,5,8,6] => [8,3,1,6,2,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,4,3,8,5,7,6] => [8,1,3,6,7,2,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,1,4,2,8,5,7,6] => [1,8,3,6,7,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,3,2,8,5,7,6] => [8,3,1,6,7,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,3,2,8,4,7,6] => [8,3,6,1,7,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,2,8,4,7,5] => [8,3,6,7,2,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,4,7,1,3,2,6,5] => [5,2,8,4,6,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,8,1,3,2,6,5] => [5,2,8,4,6,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,4,2,8,3,7,5] => [3,8,6,7,2,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,4,2,8,3,7,6] => [3,8,6,1,7,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,2,8,3,7,6] => [3,1,8,6,7,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,5,3,8,4,7,6] => [3,8,1,6,7,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,6,3,8,4,7,5] => [8,6,1,3,7,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,2,8,4,7,5] => [8,1,6,3,7,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,2,8,3,7,5] => [1,8,6,3,7,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,2,8,3,7,4] => [8,6,3,1,7,2,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,5,2,8,3,7,4] => [8,6,3,7,2,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,3,7,1,5,2,6,4] => [8,2,6,4,5,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,8,1,5,2,6,4] => [8,2,6,4,5,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,3,8,1,5,4] => [8,4,6,2,1,3,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,8,3,7,1,5,4] => [8,4,6,1,7,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,7,2,6,1,5,4] => [8,2,4,6,7,5,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,1,8,3,7,2,6,4] => [8,4,1,6,7,5,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,1,8,3,7,2,6,5] => [1,8,4,6,7,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,8,4,7,2,6,5] => [8,1,4,6,7,5,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,1,8,4,7,3,6,5] => [8,4,6,7,1,5,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,7,4,8,3,6,5] => [8,4,6,1,3,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,7,4,8,2,6,5] => [8,1,4,6,3,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,7,3,8,2,6,5] => [1,8,4,6,3,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,3,8,2,6,4] => [8,4,1,6,3,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,8,2,6,1,5,4] => [8,2,4,6,1,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,6,3,7,1,5,4] => [8,4,6,2,3,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,6,3,8,1,5,4] => [8,4,6,2,3,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,6,2,8,1,4,7] => [2,4,1,6,3,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,6,2,4,8,1,7] => [2,4,1,5,3,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,3,8,2,4,1,6] => [3,1,5,7,6,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,3,8,2,4,6,1] => [3,1,5,6,2,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,4,2,5,8,3,6,1] => [4,2,6,8,3,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,2,5,8,3,1,6] => [4,2,7,3,6,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,2,6,3,8,1,7] => [1,5,3,2,4,7,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,5,2,1,6,8,3,7] => [3,1,5,2,7,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,1,6,8,2,4,7] => [2,6,4,1,7,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,2,8,1,3,4,7] => [3,5,1,6,2,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,1,4,8,2,7] => [5,1,2,7,3,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,5,6,3,8,2,7] => [3,1,5,4,7,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,1,6,3,8,2,7] => [1,5,4,2,7,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,4,5,3,8,2,1,6] => [2,4,3,7,6,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,5,3,8,2,6,1] => [2,4,3,6,1,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,4,8,3,2,5,1] => [3,1,6,5,2,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,4,8,3,2,1,5] => [3,1,7,6,5,2,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,1,8,3,2,5] => [7,6,3,1,8,4,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,4,5,3,1,8,2,6] => [2,7,4,3,8,5,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,3,7,8,1,4,2,6] => [7,2,1,5,6,3,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,5,8,2,4,6,1,3] => [7,4,2,5,1,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,5,8,1,4,6,2] => [6,2,3,8,5,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,1,5,8,3,6,2] => [4,2,6,8,7,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,4,3,8,1,5,2] => [4,3,1,8,6,2,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,4,8,3,1,5,2] => [3,1,8,6,5,2,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,4,8,3,5,2,1] => [3,1,5,2,8,7,6,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,6,7,3,1,8,4,2] => [1,4,2,8,7,5,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,6,1,7,3,8,4,2] => [1,8,5,4,2,7,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,6,7,3,8,4,2] => [3,1,8,5,4,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,7,1,8,3,5,2] => [2,6,1,8,7,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,8,3,1,4,5,2] => [6,4,1,8,5,2,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,2,8,4,5,1,3] => [7,5,1,8,3,2,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,2,8,4,1,3,5] => [6,7,3,1,5,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,7,4,8,3,2,5] => [4,7,6,3,1,8,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,6,7,3,2,8,4] => [5,3,1,8,6,2,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,1,7,3,2,8,4] => [5,1,8,6,3,2,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,7,3,2,1,8,4] => [1,5,4,2,8,6,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,3,2,8,4,1] => [1,4,2,8,5,3,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,2,7,3,8,4,1] => [1,8,5,3,2,4,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,2,7,3,1,8,4] => [5,1,8,3,2,6,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,2,1,7,3,8,4] => [8,3,1,6,4,2,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,7,4,2,8,3,5] => [7,4,8,5,2,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,5,8,2,1,3,4,6] => [5,4,6,2,7,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,3,1,8,2,4,6] => [6,3,1,7,8,4,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,7,1,5,2,8,3,6] => [1,7,4,8,3,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,2,5,1,8,3,6] => [7,3,2,4,8,5,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,4,2,1,8,3,5] => [4,7,3,1,8,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,4,2,8,3,1,5] => [7,4,3,1,6,2,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,4,2,8,3,5,1] => [6,3,1,8,4,2,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,6,7,2,8,4,5,1] => [6,2,8,1,4,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,2,8,4,1,5] => [7,4,1,2,6,3,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,7,2,1,8,4,5] => [4,7,1,2,8,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,3,8,2,1,4,6] => [3,1,6,5,7,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,7,8,2,1,5,6] => [6,1,2,5,7,3,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,7,8,2,6,1,5] => [5,7,1,2,3,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,7,3,8,2,6,1,4] => [3,1,5,7,2,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,6,7,2,8,5,1,4] => [7,2,8,1,4,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,8,5,2,1,4] => [2,7,6,1,3,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,7,8,5,2,4,1] => [2,6,3,8,1,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,8,2,5,3,1] => [8,2,1,5,3,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,7,8,2,1,5,3] => [2,5,1,8,6,3,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,1,5,7,8,2,6,3] => [1,8,3,6,4,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,7,8,1,6,2,4] => [7,1,8,2,5,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,2,8,5,1,3,4] => [6,7,1,8,3,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,1,7,8,2,5,3] => [2,8,6,4,1,7,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,6,2,7,8,4,3] => [5,3,1,8,7,2,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,2,1,7,8,4,3] => [5,1,8,3,2,7,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,2,7,1,8,4,3] => [1,8,7,3,2,5,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,2,7,8,4,3,1] => [1,4,2,8,7,3,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,7,2,1,8,4,3] => [1,8,4,2,7,5,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,1,7,2,8,4,3] => [1,8,7,5,3,2,4,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,1,6,7,2,8,4,3] => [3,1,8,7,5,2,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,7,1,8,2,5,3] => [2,8,6,1,7,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,7,1,8,5,2,4] => [7,2,8,1,6,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,8,5,2,4,1,3] => [5,1,7,2,8,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,7,8,3,5,1,4,2] => [4,1,8,6,2,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,7,8,1,5,3,2] => [2,8,1,7,5,3,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,6,7,8,4,3,2] => [3,1,4,8,7,6,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,6,1,7,8,4,3,2] => [1,4,2,8,7,6,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,1,3,4,2,5,7] => [4,6,3,5,7,2,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,2,5,1,6,4,7] => [2,7,3,5,4,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,3,6,2,4,1,7] => [3,5,2,7,6,4,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,3,2,7,4,1,8,6] => [2,5,1,8,3,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,8,2,4,6,1] => [3,5,2,6,1,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,4,5,6,1,3,7] => [3,6,2,4,7,5,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,5,1,3,6,4,7] => [7,2,4,5,3,6,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,5,6,2,1,4,3,7] => [4,7,5,2,6,3,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,6,4,1,2,7] => [3,6,2,7,5,4,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,1,5,6,3,2,7] => [4,2,7,6,3,5,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,3,7,2,1,8,6] => [1,3,2,5,8,6,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,7,2,8,1,5] => [1,5,2,3,7,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,3,7,1,8,2,6] => [1,3,2,7,8,5,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,5,3,7,2,8,6] => [3,1,8,4,6,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,4,7,1,2,8,6] => [2,3,1,8,5,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,2,1,4,6,3] => [4,6,2,8,5,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,3,8,4,1,6,2] => [8,3,2,6,5,1,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,6,4,7,8,3,5,2] => [6,3,2,4,8,7,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,7,8,3,5,2,1] => [5,2,1,3,8,7,6,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,6,1,7,8,3,5,2] => [6,1,4,2,8,7,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,7,1,4,8,5,2] => [8,5,1,2,7,4,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,6,7,1,4,8,3,5] => [5,7,2,8,1,4,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,6,7,8,1,2,5] => [1,6,2,3,7,4,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,3,6,7,8,2,4] => [4,2,7,3,5,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,7,1,3,8,4,6] => [7,8,2,1,4,5,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,1,7,8,2,4,6] => [2,6,1,7,4,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,2,7,8,1,3,6] => [1,6,2,7,3,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,2,7,4,8,5,1] => [8,5,1,3,2,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,2,7,4,8,1,5] => [5,7,1,3,2,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,1,6,4,7,8,5] => [1,6,2,4,8,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,7,4,2,1,5,8,6] => [4,1,3,8,5,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,2,1,3,5,8,6] => [3,1,8,4,5,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,4,2,1,3,6,5] => [4,8,5,3,6,1,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,3,4,2,1,6,5] => [3,5,4,8,6,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,2,7,1,8,5,4] => [8,2,7,3,1,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,2,7,1,8,5,4] => [8,7,1,3,2,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,3,8,2,5,4,1] => [8,3,1,5,2,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,7,8,5,2,3,1] => [6,2,1,3,8,7,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,6,4,7,8,1,5,3] => [8,3,2,6,1,4,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,6,2,7,8,1,5,3] => [8,1,6,3,2,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,1,5,8,6,2,3] => [4,2,7,8,6,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,5,3,8,6,1,2,4] => [3,6,2,7,1,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,2,1,6,3,4] => [4,7,2,8,5,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,7,1,3,8,5,4] => [8,7,2,4,1,5,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,1,7,8,2,5,4] => [8,2,6,4,1,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,1,7,8,5,2,3] => [7,1,4,2,8,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,2,6,7,8,4,3] => [4,5,1,8,7,2,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,2,6,7,8,4,1,3] => [3,1,7,4,8,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,6,7,8,4,3,1] => [3,1,4,8,7,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,5,2,6,7,8,4,3] => [4,2,5,8,7,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,4,7,8,5,2,3] => [7,3,2,4,8,6,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,6,7,1,3,8,5,4] => [8,7,4,1,2,5,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,7,8,2,1,5,4,3] => [8,4,1,7,5,2,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,3,8,5,1,4,2] => [8,3,1,6,2,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,7,8,5,3,1,2] => [7,2,1,3,8,6,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,5,2,3,7,6,1,8] => [1,7,3,2,4,6,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,3,7,2,5,1,8] => [3,2,5,1,7,6,4,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,3,6,5,1,2,7] => [3,2,6,7,5,4,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,5,6,3,4,8,7,2] => [2,8,4,3,5,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,6,7,4,5,1,8] => [5,1,3,7,2,6,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,2,6,5,3,1,8] => [7,1,6,3,5,4,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,6,2,4,3,1,8] => [1,7,4,6,5,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,5,4,8,3,6,2] => [4,3,6,2,8,7,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,5,4,1,3,2,6] => [7,5,6,4,3,8,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,5,4,2,1,3,7] => [6,5,1,7,4,3,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,8,6,2,4,1,3,7] => [4,1,6,7,5,3,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,8,6,5,1,4,7] => [6,7,1,5,2,4,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,2,6,5,8,7,3] => [4,1,8,5,7,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,6,2,4,8,7,3] => [8,5,3,1,7,2,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,5,4,2,8,7,3] => [4,3,8,7,2,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,1,5,4,8,2,6,3] => [4,3,8,6,7,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,5,4,7,6,2,3] => [4,3,7,8,6,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,6,7,4,5,3,2] => [5,3,8,7,6,4,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,1,6,7,4,5,2,3] => [7,5,3,8,6,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,6,8,4,2,5,3] => [8,6,5,3,7,2,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,1,7,8,2,4,5,3] => [6,8,5,3,1,7,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,7,2,8,4,6,3] => [6,1,8,7,4,2,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,1,2,7,8,5,6,3] => [1,6,4,8,7,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,1,7,8,5,6,4] => [6,1,4,8,2,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,8,7,1,5,4,6] => [7,1,5,6,8,2,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,2,7,1,5,3,6] => [1,7,3,5,6,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,7,2,1,4,3,6] => [4,1,7,5,6,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,7,1,2,4,3,5] => [7,4,5,1,6,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,8,6,1,4,2,3,5] => [6,7,4,5,1,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,1,4,3,2,5] => [7,6,4,5,8,3,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,7,6,8,4,3,5,2] => [6,5,3,2,8,7,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,7,8,3,4,5,2] => [5,2,6,3,8,7,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,7,1,3,4,2,5] => [5,7,4,6,2,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,6,8,1,3,2,4,5] => [6,4,5,7,2,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,8,2,1,3,4,6] => [5,4,1,6,7,2,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,2,8,1,3,5,6] => [3,1,5,6,7,2,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,6,8,4,1,5,7] => [6,1,5,2,3,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,6,2,8,3,1,5,7] => [1,6,3,5,2,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,6,8,2,3,1,4,7] => [4,1,6,5,2,7,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,8,3,2,1,4,7] => [6,5,4,2,1,7,8,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,5,8,3,1,2,4,6] => [5,6,4,2,7,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,7,3,1,4,2,6] => [7,5,4,2,6,8,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,4,3,7,8,5,6,2] => [6,2,4,8,3,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,3,7,1,5,2,6] => [3,2,7,5,6,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,3,8,2,1,5,7] => [3,2,6,5,1,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,2,3,8,1,6,7] => [3,1,4,2,6,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,5,4,8,1,6,7] => [1,4,2,3,6,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,5,2,3,1,8,7,6] => [1,8,3,2,4,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,3,1,2,8,7,5] => [3,2,8,7,4,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,4,3,1,8,2,6,5] => [3,2,8,6,7,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,3,1,7,6,2,5] => [3,2,7,8,6,4,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,5,8,3,7,6,4,2] => [8,2,7,4,6,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,1,3,7,6,2,4] => [7,8,4,2,6,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,1,3,8,2,6,4] => [8,4,6,2,7,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,1,3,2,8,7,4] => [8,4,7,3,2,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,1,2,3,8,7,4] => [8,7,3,1,4,2,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,6,2,1,3,8,7,5] => [1,8,3,7,4,2,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,6,1,4,8,7,5] => [8,1,7,2,4,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,7,1,8,4,6,5] => [8,1,6,7,2,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,2,1,8,3,6,5] => [1,8,3,6,7,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,1,2,8,3,6,4] => [8,6,1,7,3,4,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,1,8,2,3,5,4] => [8,5,6,1,7,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,1,8,3,2,5,4] => [5,8,6,7,3,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,8,7,3,5,4,2] => [2,8,5,7,6,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,8,6,5,3,4,2] => [6,2,8,7,5,4,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,7,1,6,5,3,2,4] => [7,6,8,5,3,4,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,1,7,2,5,3,4] => [7,8,5,1,6,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,1,2,7,6,3,4] => [7,1,8,6,3,4,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,8,1,7,6,4,5] => [7,8,1,6,2,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,2,8,7,6,5,3] => [8,1,7,6,5,2,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,8,2,7,6,4,3] => [1,8,7,6,4,5,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,1,8,7,2,5,4,3] => [8,7,5,1,6,4,2,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,8,6,5,2,4,3] => [8,6,7,5,4,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,1,7,6,5,4,2,3] => [7,8,6,5,4,2,3,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,1,6,2,4,8,7,5] => [8,1,7,4,2,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,5,1,2,3,8,7,6] => [1,8,7,3,2,4,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,6,1,2,3,8,7,5] => [1,8,7,3,4,2,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,5,3,4,8,7,2] => [8,4,3,2,5,7,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,1,5,2,4,8,7,3] => [8,5,3,7,2,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,5,1,2,3,8,7,4] => [8,7,3,4,2,1,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,1,2,3,8,7,5] => [8,7,3,2,4,1,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,4,1,2,3,8,7,6] => [8,7,3,2,1,4,5,6] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,4,1,2,7,3,6,8] => [6,7,3,2,1,4,5,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,4,1,7,2,3,5,8] => [5,6,2,7,3,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,1,8,2,3,5,7] => [5,6,2,7,1,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,1,2,8,3,6,5] => [8,6,2,7,3,4,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,1,2,8,3,6,4] => [8,6,7,3,2,4,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,2,8,4,6,3] => [6,3,8,7,2,4,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,5,3,8,4,6,2] => [6,3,8,4,2,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,5,3,7,4,6,2] => [6,3,8,4,7,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,5,2,7,4,6,3] => [6,3,8,7,2,4,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,1,2,7,3,6,4] => [8,6,7,3,2,4,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,1,2,7,3,6,5] => [8,6,2,7,3,4,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,4,1,7,2,3,5,6] => [5,6,2,7,8,3,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,1,6,2,3,5,8] => [5,6,2,7,3,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,6,1,7,2,3,5,4] => [8,5,6,7,3,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,1,6,7,2,4,5,3] => [6,8,5,3,7,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,6,7,3,4,5,2] => [5,6,3,8,7,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,6,8,3,4,5,2] => [5,6,3,2,8,7,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,6,8,2,4,5,3] => [6,8,5,3,7,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,1,8,2,3,5,4] => [8,5,6,7,3,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,1,2,8,3,6,5] => [1,8,6,7,3,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,7,2,8,4,6,5] => [8,1,6,7,4,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,2,7,8,5,6,4] => [6,1,4,8,7,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,3,8,7,5,6,2] => [6,8,2,7,3,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,2,8,7,5,6,4] => [6,8,1,7,5,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,8,2,7,4,6,5] => [8,1,6,7,4,5,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,1,6,2,3,5,8] => [5,1,6,7,3,4,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,1,6,2,3,5,7] => [5,1,6,7,3,4,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,8,1,7,2,3,5,6] => [5,1,6,7,8,3,4,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,1,2,7,3,6,5] => [1,8,6,7,3,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,1,2,7,3,6,4] => [8,6,1,7,3,4,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,8,2,7,4,6,3] => [6,1,8,7,4,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,8,7,3,4,5,2] => [5,2,6,8,7,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,8,7,2,4,5,3] => [6,8,5,1,7,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,1,7,2,3,5,4] => [8,5,6,1,7,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,7,1,2,3,4,6] => [4,5,1,6,7,8,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,6,1,2,3,4,7] => [4,5,1,6,7,3,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,6,1,2,3,4,8] => [4,5,1,6,7,3,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,1,6,2,3,5,4] => [8,5,6,7,3,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,1,8,6,2,4,5,3] => [6,8,5,7,4,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,8,6,3,4,5,2] => [5,6,2,8,7,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,1,7,6,2,4,5,3] => [6,8,5,7,4,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,1,6,2,3,5,4] => [8,5,6,7,3,4,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,2,5,1,6,4,8,7] => [1,5,2,3,8,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,5,3,7,6,8,1] => [3,1,6,2,4,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,5,3,7,1,8,6] => [3,1,8,2,4,6,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,5,3,6,1,8,7] => [4,2,1,3,5,8,6,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,5,1,6,3,8,7] => [5,2,1,3,8,4,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,5,4,6,2,8,7] => [1,4,3,5,8,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,6,2,8,7] => [4,3,1,5,8,2,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,3,5,1,6,2,8,7] => [2,1,5,3,8,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,5,2,7,1,8,6] => [2,1,3,8,4,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,2,7,5,8,1] => [1,6,2,4,3,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,6,2,7,1,8,5] => [1,8,2,4,3,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,6,1,7,2,8,5] => [1,8,2,6,4,3,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,5,1,7,2,8,6] => [2,1,3,8,6,4,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,5,4,7,3,8,6] => [3,8,1,4,6,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,7,6,8,2] => [3,1,6,4,5,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,5,1,7,6,8,2] => [2,1,3,6,5,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,1,7,5,8,2] => [1,6,2,5,3,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,6,5,7,1,8,2] => [1,4,2,3,8,6,5,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,3,6,4,7,2,8,1] => [4,2,1,3,6,5,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,6,4,7,1,8,2] => [4,2,1,3,8,6,5,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,6,1,7,4,8,2] => [6,2,1,5,3,8,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,6,3,7,4,8,2] => [6,4,3,1,5,8,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,1,6,3,7,5,8,2] => [1,6,4,3,5,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,6,4,7,5,8,2] => [6,1,4,3,5,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,4,7,5,8,3] => [6,4,1,3,5,8,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,6,4,7,3,8,5] => [8,4,1,3,6,2,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,4,7,2,8,5] => [8,1,4,3,6,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,3,7,2,8,5] => [1,8,4,3,6,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,3,7,2,8,4] => [8,4,3,1,6,2,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,3,6,1,7,2,8,4] => [8,2,1,6,4,3,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,3,6,2,7,1,8,4] => [8,2,1,4,3,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,6,2,7,4,8,1] => [6,2,1,4,3,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,2,6,3,7,4,8,1] => [6,4,2,1,3,5,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,2,6,3,7,1,8,4] => [8,4,2,1,3,6,5,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,6,1,7,3,8,4] => [8,6,2,1,4,3,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,2,5,1,7,3,8,6] => [3,1,8,2,6,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,6,1,7,3,8,5] => [1,8,6,2,4,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,6,3,7,1,8,5] => [1,8,4,2,3,6,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,3,7,5,8,1] => [1,6,4,2,3,5,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,2,6,4,7,5,8,1] => [6,1,4,2,3,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,6,4,7,1,8,5] => [8,1,4,2,3,6,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,6,1,7,4,8,5] => [8,1,6,2,4,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,4,1,7,5,8,6] => [1,8,2,3,6,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,4,2,7,6,8,5] => [1,6,3,5,8,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,6,1,7,5,8,4] => [6,1,5,2,3,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,6,5,7,1,8,4] => [4,1,3,8,2,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,6,5,7,3,8,1] => [1,4,3,6,2,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,6,5,7,1,8,3] => [1,4,3,8,2,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,1,7,5,8,3] => [1,6,5,2,3,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,5,1,7,6,8,3] => [3,1,6,2,5,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,5,2,7,6,8,3] => [3,1,6,5,8,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,5,3,7,6,8,4] => [3,6,1,5,8,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,6,3,7,5,8,4] => [6,5,1,3,8,2,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,2,7,5,8,4] => [6,1,5,3,8,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,2,7,5,8,3] => [1,6,5,3,8,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,2,7,4,8,3] => [6,5,3,1,8,2,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,2,6,1,7,4,8,3] => [6,5,2,1,3,8,4,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,6,4,7,1,8,3] => [4,3,1,8,2,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,6,4,7,3,8,1] => [4,3,1,6,2,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,6,2,7,3,8,1] => [2,1,6,4,3,5,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,6,2,7,1,8,3] => [2,1,8,4,3,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,6,1,7,2,8,3] => [2,1,8,6,4,3,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,6,4,7,2,8,3] => [4,3,1,8,6,2,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,6,5,7,2,8,3] => [1,4,3,8,6,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,6,5,7,2,8,4] => [4,1,3,8,6,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,6,5,7,3,8,4] => [4,3,8,1,6,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,6,5,7,4,8,2] => [4,1,3,6,5,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,6,5,7,3,8,2] => [1,4,3,6,5,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,4,7,3,8,2] => [4,3,1,6,5,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,6,1,7,3,8,2] => [2,1,6,5,3,8,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,6,3,7,1,8,2] => [2,1,4,3,8,6,5,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,5,2,4,1,8,6] => [4,5,1,3,8,6,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,7,5,2,4,6,1] => [5,6,2,4,8,7,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,2,4,6,5,3,1,7] => [7,3,6,2,5,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,5,4,6,1,3,7] => [6,4,2,3,7,5,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,6,3,5,1,4,2,7] => [3,7,5,6,4,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,1,4,5,3,2,7] => [4,7,6,3,5,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,5,6,4,3,2,7] => [3,7,6,5,2,4,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,7,4,3,2,1,8,6] => [1,5,4,3,8,6,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,5,7,4,3,2,6,1] => [2,6,5,4,8,7,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,6,8,3,2,7,5,1] => [4,1,2,8,5,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,6,3,2,8,1,5] => [5,1,4,7,3,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,4,6,7,3,2,8,5] => [5,2,3,8,6,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,4,7,3,1,8,2,6] => [2,1,7,4,8,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,4,5,3,2,8,6] => [3,5,4,8,6,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,7,5,1,4,2,8,6] => [5,8,1,4,3,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,4,2,1,3,8,6] => [4,1,8,5,3,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,7,4,2,1,6,3] => [5,2,8,6,4,7,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,3,7,5,1,4,6,2] => [6,8,2,5,4,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,1,7,5,3,6,2] => [2,6,5,8,7,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,3,8,7,1,5,2] => [8,1,3,2,6,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,7,4,8,6,3,5,2] => [6,8,3,2,7,5,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,4,7,6,3,5,2,1] => [5,8,2,7,6,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[3,6,5,8,7,4,1,2] => [3,2,7,8,1,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,1,5,8,6,7,4,2] => [5,8,1,3,7,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,1,6,7,3,5,2] => [6,1,4,8,7,3,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,4,1,8,7,5,2] => [8,3,1,2,7,6,4,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,6,1,4,7,5,3] => [8,5,7,2,4,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,6,8,1,4,3,5] => [7,5,6,3,1,2,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,7,1,6,4,8,2,5] => [5,7,1,4,8,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,3,5,6,8,2,4] => [4,7,3,5,2,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,6,7,5,8,2,4] => [3,7,5,2,4,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,6,5,8,2,1,4] => [7,6,4,1,3,2,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,8,5,7,2,4,1] => [2,6,4,8,1,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,5,7,6,8,1,4] => [7,3,5,1,2,4,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,1,6,5,7,8,3,4] => [4,3,7,1,5,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,6,8,3,1,5] => [7,1,6,4,2,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,2,4,6,7,5,1] => [5,8,1,3,4,7,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,7,2,6,4,8,1,5] => [5,7,1,3,4,2,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,7,2,1,8,4,6] => [2,4,1,7,8,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,3,2,1,5,8,6] => [1,4,3,8,5,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,6,1,3,4,2,5] => [5,7,4,6,8,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,7,3,2,1,6,4] => [5,4,2,8,6,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,3,6,7,2,1,5,4] => [5,8,2,6,3,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,8,6,2,1,5,4] => [5,8,6,1,2,7,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,7,4,8,1,6,5,3] => [8,3,7,5,1,2,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,8,2,1,7,5,3] => [8,1,4,2,7,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,5,7,2,6,3] => [4,2,8,6,7,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,3,7,1,6,2,4] => [3,7,2,8,5,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,2,1,3,6,4] => [4,8,5,2,6,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,7,1,3,5,4] => [8,5,6,2,3,7,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,6,1,7,5,2,4] => [7,8,2,6,4,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,1,8,7,2,5,3] => [8,1,6,2,7,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,2,6,5,7,4,1,3] => [7,4,3,8,2,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,7,8,5,6,4,3] => [5,3,8,7,1,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,5,7,6,4,3,1] => [8,3,7,6,2,5,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,6,8,5,4,1,3] => [7,3,2,8,6,1,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,7,2,5,8,6,4,3] => [8,4,7,6,3,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,4,8,2,6,5,3] => [8,3,7,5,2,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,8,1,6,5,2,4] => [7,8,6,1,4,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,8,6,1,3,5,4] => [8,5,6,2,7,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,6,3,5,1,4,2] => [4,8,6,7,5,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,4,7,6,5,1,3,2] => [8,2,6,7,5,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,1,5,6,4,3,2] => [4,8,7,6,3,5,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,1,6,7,5,4,3,2] => [3,8,7,6,5,2,4,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,5,3,1,2,4,8,7] => [8,4,3,5,2,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,5,3,7,2,1,4,6] => [3,6,5,2,7,8,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,1,4,5,7,3,2] => [4,5,1,8,7,3,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,2,4,5,1,3,6] => [6,3,4,7,5,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,3,2,1,4,8,7] => [4,3,1,8,5,2,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,3,6,1,2,8,7] => [3,2,1,8,5,4,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,3,1,4,5,2,8,7] => [4,2,5,8,3,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,3,7,4,5,1,2,6] => [6,2,4,7,5,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,7,4,2,6,3,1] => [8,1,5,4,7,6,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,8,7,4,1,6,3,5] => [7,4,8,5,6,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,4,2,6,3,5] => [7,4,8,5,6,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,8,4,5,1,2,6] => [6,4,7,1,5,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,8,7,5,3,4,6] => [6,7,5,8,1,4,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,6,8,5,7,3,4] => [3,7,5,8,1,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,3,8,1,7,2,4] => [3,1,7,2,8,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,6,4,5,8,2,1] => [4,5,3,1,2,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,7,4,1,6,3,2] => [2,8,7,5,4,6,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,1,8,4,7,6,2,3] => [4,1,7,8,6,5,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,1,8,3,5,6,7,2] => [4,1,5,6,8,7,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,8,4,2,5,6,7,1] => [4,1,3,5,6,8,7,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,4,1,3,5,6,7,2] => [4,5,2,6,8,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,5,8,4,3,6,1,2] => [2,7,5,4,1,8,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,3,8,4,1,7,2] => [8,3,2,1,6,5,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,1,4,8,3,6,7,5] => [6,8,1,3,5,7,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,4,3,8,2,1,7,5] => [3,2,5,1,8,6,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,8,4,2,6,1,5] => [5,2,4,7,1,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,1,2,5,6,7,4] => [5,2,6,8,3,4,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,8,2,5,6,7,1] => [2,1,4,5,6,8,7,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,8,2,3,5,6,7,1] => [3,1,4,5,6,8,7,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,8,2,4,3,6,1,5] => [5,3,4,7,1,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,3,2,4,1,7,5] => [4,3,5,1,8,6,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,8,3,4,6,7,5] => [6,8,1,4,5,7,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,7,8,5,4,3,6] => [7,6,5,1,3,8,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,3,8,1,4,2,6] => [3,1,7,5,6,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,4,5,3,2,6] => [4,7,6,5,8,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,8,4,5,3,1,6] => [4,7,6,5,1,2,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,7,1,4,3,6,2,5] => [5,4,7,8,3,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,4,2,6,1,5] => [5,4,7,8,1,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,8,4,3,6,2,1] => [5,1,4,2,8,7,6,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,6,3,8,4,2,7,1] => [1,6,3,2,5,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,6,3,1,4,2,7,5] => [5,3,8,4,6,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,3,8,2,4,1,6] => [3,5,2,7,6,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,3,1,8,5,7,6] => [2,8,1,3,6,7,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,3,2,6,8,7,5] => [8,3,1,5,7,2,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,5,3,6,2,8,1,4] => [3,5,2,7,4,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,3,5,1,2,7,4] => [3,8,5,6,4,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,2,6,1,7,4] => [3,1,8,4,6,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,8,4,7,6,2,1] => [8,2,4,7,1,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,2,4,7,6,1,3] => [4,1,7,8,3,6,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,5,4,1,6,2,3] => [7,8,5,4,3,6,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,7,6,4,5,8,1,3] => [4,7,5,3,1,2,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,6,4,5,8,2,3] => [4,7,5,3,8,2,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,3,6,1,8,2,4] => [3,1,7,8,5,4,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,1,7,6,5,8,3,4] => [7,5,4,1,3,8,2,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,8,5,3,6,7,4] => [6,4,8,1,5,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,3,5,2,1,7,4] => [3,5,1,8,6,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,5,4,2,6,1,3] => [5,7,4,3,1,8,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,1,4,2,5,6,7,3] => [5,3,6,8,2,4,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,4,1,5,6,7,3] => [5,3,6,8,1,4,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,8,1,2,5,6,7,3] => [5,1,6,8,3,4,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,2,8,5,6,7,3] => [5,1,6,8,7,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,4,2,1,5,6,7,3] => [3,5,2,6,8,4,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,5,2,4,8,6,1,3] => [4,7,2,8,3,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,3,2,8,1,7,4] => [3,8,4,2,1,6,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,3,5,8,1,7,2] => [3,2,4,1,8,6,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,5,4,8,6,1,2] => [4,2,3,7,1,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,4,1,5,6,7,2] => [2,5,3,6,8,4,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,1,8,5,6,7,2] => [2,1,5,6,8,7,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,5,3,7,2,8,4,1] => [8,3,2,1,5,4,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,7,4,5,8,2,1] => [4,5,2,1,3,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,2,4,5,8,3,1] => [4,5,1,8,3,2,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,7,4,8,6,3,2] => [1,8,4,3,7,6,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,7,4,8,6,3,1] => [8,2,4,3,7,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,7,1,8,4,2] => [1,8,3,2,7,5,4,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,7,4,5,2,1,6] => [4,7,6,1,5,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,5,4,8,6,2,1] => [3,8,4,1,2,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,1,4,8,6,2,3] => [4,1,7,8,6,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,6,3,1,8,2,7,4] => [3,1,8,6,2,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,8,4,1,6,2,5] => [7,4,8,1,5,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,5,1,6,8,4,7] => [1,5,2,3,7,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,6,2,5,4,8,1,7] => [5,1,3,4,2,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,2,4,7,1,8,6] => [8,1,3,2,4,6,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,8,2,4,7,6,1] => [2,8,1,4,5,7,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,2,5,8,3,7,6,1] => [1,8,3,5,7,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,6,5,3,8,1,7] => [1,5,4,2,3,7,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,4,2,1,6,8,3,7] => [3,5,2,1,7,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,6,1,5,3,8,2,7] => [1,5,4,7,2,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,4,3,8,2,7] => [5,4,3,1,7,8,2,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,4,3,2,7,1,8,6] => [3,2,1,8,4,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,3,8,2,7,6,1] => [2,1,8,3,5,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,3,1,7,2,8,5] => [3,2,8,6,4,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,5,4,3,1,8,2,6] => [7,4,3,2,8,5,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,4,7,5,8,3,2,6] => [4,7,2,6,3,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,3,5,8,4,2,6] => [4,7,3,6,8,2,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,5,8,4,1,3,6] => [6,3,7,2,5,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,5,7,4,6,1,3] => [3,7,5,8,6,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,4,5,8,7,3,6,2] => [6,8,2,3,7,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,4,3,8,1,7,5,2] => [2,8,3,1,7,5,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,7,1,8,6,5,2] => [8,1,7,2,6,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,3,7,6,5,2,1] => [8,7,1,3,6,5,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,3,8,7,6,4,2,1] => [8,1,7,6,2,5,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,3,1,8,6,4,2] => [8,3,2,7,6,4,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,8,6,5,3,7,4,2] => [8,5,4,3,7,6,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,5,8,6,3,7,4,2] => [8,2,5,4,7,6,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,1,8,7,3,5,2] => [6,1,2,8,7,5,3,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,7,3,1,4,5,2] => [6,4,1,8,5,7,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,8,7,4,5,1,3] => [7,5,1,8,6,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,2,8,4,1,3,5] => [6,7,3,5,2,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,1,6,8,4,2,5] => [7,2,6,4,8,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,6,4,8,3,2,5] => [4,7,6,3,2,8,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,7,1,6,3,2,8,4] => [5,1,8,6,3,4,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,7,5,3,2,8,4] => [5,8,6,4,2,1,3,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,6,5,3,2,1,8,4] => [5,4,8,6,3,2,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,3,2,8,7,4,1] => [8,3,2,1,7,4,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,6,3,8,7,4,1] => [3,1,8,7,2,4,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,7,6,3,1,8,4] => [5,1,8,6,2,4,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,2,1,7,3,8,4] => [8,3,6,4,2,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,2,7,4,1,8,3,6] => [7,4,1,8,2,5,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,8,6,3,7,5,1] => [8,5,2,4,7,1,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,6,2,4,7,5,1] => [8,4,5,1,3,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,7,2,1,4,8,5] => [4,8,1,5,2,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,7,8,2,1,5,6] => [1,6,2,5,7,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,2,5,7,1,6,4] => [4,8,1,3,6,7,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,3,6,2,7,1,5,4] => [8,2,4,6,3,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,6,2,5,4,1] => [8,3,5,7,6,4,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,7,8,2,1,6,5,3] => [8,1,4,7,5,2,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,2,7,1,6,3] => [2,1,8,4,6,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,3,7,1,6,2,4] => [3,1,7,8,5,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,7,2,6,1,3,4] => [4,1,6,7,8,5,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,6,8,1,7,5,2,4] => [7,2,8,1,6,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,6,8,2,7,4,3] => [3,1,8,7,5,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,2,8,1,7,4,3] => [8,7,3,2,1,5,6,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,2,7,1,8,6,4,3] => [1,8,7,6,2,4,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,8,2,7,6,4,3,1] => [8,1,7,6,3,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,8,7,5,4,3,1] => [1,8,7,6,5,2,4,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,6,2,1,8,5,4,3] => [8,7,3,6,4,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,7,2,8,5,4,3] => [8,7,6,4,2,1,3,5] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[7,5,1,8,2,6,4,3] => [8,7,5,2,6,3,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,7,1,8,6,2,5,3] => [8,1,6,7,5,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,7,4,6,1,5,3,2] => [3,8,7,5,6,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,7,1,6,4,3,2] => [2,8,7,6,4,5,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,1,7,5,4,3,2] => [1,8,7,6,5,3,4,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,1,8,6,5,4,3,2] => [8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[5,4,2,3,7,6,1,8] => [7,3,2,1,4,6,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,4,2,7,3,5,1,8] => [5,2,7,3,1,6,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,2,6,3,5,1,8] => [5,2,7,3,6,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,2,6,3,1,5,7] => [6,3,2,5,7,4,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,2,7,6,4,5,1,8] => [5,7,1,6,2,4,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,6,2,3,4,1,8] => [4,1,5,7,6,3,2,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,5,2,3,8,4,7] => [7,8,4,3,1,2,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,7,5,2,8,3,4,6] => [6,7,3,8,4,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,8,5,2,3,1,4,7] => [4,6,5,1,7,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,6,2,3,1,4,7] => [4,1,6,5,7,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,2,6,3,1,5,7] => [1,6,3,5,7,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,8,6,4,1,5,7] => [6,1,5,7,2,4,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,1,6,4,8,5,7] => [1,7,2,4,8,3,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,1,5,2,8,3,4,6] => [6,7,3,8,2,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,5,2,7,3,4,6] => [6,7,3,8,4,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,7,2,1,3,4,6] => [5,4,1,6,7,8,3,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,5,8,2,3,1,4,7] => [4,6,5,2,1,7,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,7,2,1,3,4,6] => [5,4,6,2,7,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,2,8,3,1,5,7] => [6,3,2,5,1,7,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,2,3,8,1,6,7] => [3,4,2,1,6,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,2,5,4,1,8,6,7] => [1,4,2,3,7,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,5,2,3,1,8,6,7] => [3,1,4,2,7,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,2,3,1,8,6,7] => [3,4,2,1,7,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,2,1,3,8,5,7] => [3,7,2,8,4,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,4,2,1,8,3,5,6] => [3,6,2,7,8,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,4,2,1,7,3,5,6] => [3,6,2,7,8,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,8,2,7,3,4,6] => [6,2,7,8,4,5,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,1,2,3,8,4,7] => [7,8,3,4,2,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,2,1,3,8,5,7] => [3,1,7,8,4,2,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,7,2,1,8,3,5,6] => [3,1,6,7,8,4,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,6,8,7,2,3,4,5] => [5,6,2,7,8,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,2,1,7,3,5,6] => [3,1,6,7,8,4,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,1,8,2,7,3,4,6] => [6,7,1,8,4,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,5,1,2,4,8,7] => [2,8,4,5,3,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,5,6,1,2,8,7] => [2,1,3,8,5,4,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,3,7,5,2,1,4,6] => [6,2,5,7,4,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,3,7,5,1,8,4,2] => [8,7,2,1,5,4,3,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,2,7,1,8,3,4] => [7,8,3,2,1,5,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,5,2,7,4,1,3,6] => [6,7,3,2,5,8,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,6,1,5,4,3,8,7] => [5,4,8,1,3,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,3,5,1,2,8,7] => [3,2,8,5,4,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,3,1,4,6,2,8,7] => [4,2,5,1,8,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,4,6,5,2,8,7] => [1,5,3,4,8,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,4,7,8,5,2,1,6] => [7,6,1,2,5,3,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,8,5,7,3,4,6] => [6,4,7,8,1,5,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,6,3,5,1,7,4,2] => [8,3,7,5,4,2,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,8,2,4,6,7,3,1] => [4,1,5,8,3,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,4,8,6,5,7,1,2] => [7,5,1,2,4,8,6,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,5,4,8,1,6,3,2] => [3,2,8,7,5,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,1,4,6,8,2,7,3] => [3,4,1,8,6,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,6,7,1,8,3] => [3,2,4,8,1,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,6,3,7,5,8,1] => [6,2,4,1,3,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,6,3,8,5,7,2] => [1,6,3,8,4,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,4,2,8,6,5,1] => [8,3,7,1,4,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,1,3,5,8,6,2] => [8,4,2,5,7,3,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,5,8,4,1,7,3,2] => [2,1,8,7,5,4,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,3,7,4,1,6,2] => [8,3,2,6,5,7,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,4,8,3,7,6,5] => [8,7,1,3,5,6,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,4,3,8,2,1,6,5] => [3,2,5,8,6,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,7,4,1,8,2,5] => [7,2,4,1,8,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,1,2,5,7,6,4] => [2,8,5,7,3,4,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,1,8,2,7,6,5,4] => [8,7,1,6,4,5,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,8,1,6,7,5,4] => [5,8,7,1,2,4,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,2,1,7,5,6,4] => [6,8,1,3,7,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,3,6,5,7,4] => [6,5,8,1,3,4,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,8,5,4,3,1,6] => [7,6,5,4,1,2,8,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,7,1,6,3,4,2,5] => [5,7,6,8,3,4,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,7,2,4,1,5] => [5,7,6,1,3,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,8,7,4,2,6,1] => [1,6,5,8,2,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,5,8,2,4,1,6] => [5,2,3,7,6,1,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,4,1,8,5,7,6] => [8,1,2,3,6,7,4,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[4,1,3,2,6,7,8,5] => [3,5,1,6,8,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,3,5,6,2,7,1,4] => [5,2,3,7,4,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,6,1,8,7,2,4] => [7,2,1,3,8,6,4,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,6,2,8,7,4,1,3] => [1,7,2,8,6,3,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,5,6,1,4,2,3] => [7,8,5,3,1,6,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,8,6,5,4,7,1,3] => [7,5,4,3,8,1,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,6,4,5,7,2,3] => [4,7,5,3,8,2,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,3,6,1,7,2,4] => [3,1,7,8,5,4,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,8,6,5,7,3,4] => [7,5,4,8,1,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,7,5,3,6,8,4] => [6,4,8,1,5,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,7,3,5,2,1,8,4] => [3,5,1,8,6,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,4,2,5,6,8,3] => [5,3,6,8,2,4,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,4,1,6,5,8,3] => [3,6,5,8,1,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,1,5,8,7,6,3] => [8,2,7,1,4,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,2,5,8,6,7,3] => [6,1,8,4,7,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,2,1,5,8,7,3] => [8,3,2,5,1,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,2,4,6,1,7,3] => [4,8,3,2,6,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,3,2,6,8,1,4] => [3,7,4,2,5,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,5,3,6,8,7,4] => [3,8,1,5,7,2,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,3,5,4,6,1,8,2] => [4,2,3,8,6,5,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,3,4,1,5,7,8,2] => [2,5,3,6,1,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,5,7,6,8,2] => [2,1,6,4,5,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,4,5,6,8,7,2] => [1,8,3,4,5,7,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,5,2,6,3,1,8,7] => [1,5,3,2,4,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,5,2,7,4,8,3,1] => [5,4,2,1,8,3,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,2,7,4,1,6,3] => [8,6,3,2,5,7,4,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,3,7,5,2,1,6,4] => [5,8,2,6,4,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,7,5,2,8,4,1] => [8,5,2,1,4,3,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,1,6,5,4,2,8,7] => [5,1,4,3,8,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,3,2,4,1,8,7] => [4,3,1,5,2,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,1,3,5,4,8,7] => [5,8,1,3,4,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,7,2,3,4,8,5,1] => [8,3,4,1,5,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,7,3,8,4,6,2] => [6,1,8,4,3,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,7,3,8,6,4,1] => [8,2,7,4,1,3,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,1,3,5,8,4,2] => [5,8,4,7,3,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,6,7,4,1,8,5,2] => [4,2,8,1,7,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,3,7,4,8,1,2] => [1,7,3,2,5,4,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,6,7,4,8,5,3] => [3,8,5,1,4,7,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,8,7,4,3,6,5] => [5,8,6,7,1,4,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,3,7,4,2,6,1] => [1,6,3,5,8,7,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,8,7,4,1,2,6,5] => [8,5,1,4,6,7,3,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,8,1,3,5,2,6,4] => [8,4,6,3,5,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,7,3,2,6,1,4] => [1,5,4,7,8,6,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,1,6,3,2,5,4,7] => [4,7,5,6,2,3,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,1,6,3,7,5] => [3,8,6,1,4,5,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,4,2,5,7,1,6] => [4,1,3,5,7,8,6,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[6,8,3,5,2,7,4,1] => [8,3,1,5,4,7,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,5,3,8,7,6,4] => [8,3,7,1,6,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,3,2,8,7,1,4] => [3,7,2,1,8,4,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,2,4,8,1,6,3] => [4,8,3,2,6,1,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,4,2,8,5,7,6,1] => [8,1,2,5,7,3,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,1,8,7,6,5,3] => [8,7,2,6,1,5,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,4,2,1,7,5,3,6] => [7,3,2,6,8,4,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,1,4,8,6,5,7,2] => [6,1,5,8,3,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,1,6,5,4,8,2,3] => [7,5,4,3,8,2,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,7,5,6,8,4,2,1] => [3,4,2,8,1,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,1,6,8,2,4,3] => [1,8,6,4,7,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,2,5,1,7,4,3] => [8,7,3,5,4,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,2,1,8,7,3,4] => [7,1,8,3,2,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,2,6,3,8,1,4] => [5,7,3,2,4,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,1,2,3,6,8,7,5] => [8,5,1,7,2,3,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,4,3,1,8,5,6,7] => [3,1,2,6,7,8,4,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,5,2,8,3,4,6,1] => [5,6,2,8,3,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,2,8,4,3,1,7] => [1,7,6,3,2,5,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,7,2,8,1,5,3,6] => [1,7,3,5,6,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,8,7,1,5,4,2] => [2,8,7,1,5,6,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,8,6,3,4,1,2] => [7,1,5,2,8,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,1,8,5,4,3,6,2] => [6,5,4,8,7,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,7,8,4,5,3,6,1] => [4,6,5,2,8,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,3,8,1,4,6,2] => [3,1,6,8,5,2,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,7,8,5,4,6,3] => [6,5,3,8,1,7,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,8,4,1,2,7] => [3,6,2,1,7,5,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,4,3,6,2,1] => [2,5,4,1,8,7,6,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,1,8,3,6,5,2,7] => [1,7,4,6,5,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,1,3,7,2,6,5] => [8,4,2,6,7,3,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,1,8,2,4,7,6,5] => [8,1,7,4,5,6,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,8,1,4,6,7,5] => [6,8,1,2,4,5,7,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,3,8,2,5,1,7,6] => [2,1,4,5,8,6,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,3,8,4,2,5,7,1] => [5,2,4,1,6,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,3,8,2,5,1,6] => [3,2,5,7,6,1,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,4,8,3,5,7,6] => [8,1,3,5,6,7,2,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[6,8,2,4,3,5,1,7] => [5,3,4,1,7,6,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,2,3,5,1,6,7] => [3,1,4,6,5,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,1,3,4,5,7,6] => [8,1,3,4,5,6,7,2] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,8,4,1,6,5,3,7] => [3,7,6,1,4,5,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,4,1,6,5,7,3] => [3,6,5,8,1,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,7,6,1,4,3,5] => [7,5,6,8,4,1,3,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,8,6,1,4,2,3] => [7,2,8,5,1,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,5,7,6,1,4,2,8] => [2,7,1,5,6,4,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,7,2,4,1,6,8] => [4,1,2,6,5,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,5,3,4,7,6,1] => [8,4,3,5,7,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,5,3,4,1,6,7] => [4,6,5,1,3,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,5,3,4,7,1,6] => [4,5,3,7,8,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,5,3,4,6,1,7] => [4,5,3,7,1,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,5,3,4,6,7,1] => [4,5,3,6,8,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,2,4,6,1,8] => [4,1,2,5,7,6,3,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,5,2,7,3,1,4,8] => [6,3,5,2,1,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,2,8,3,1,7,4] => [5,8,3,2,1,6,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,2,8,3,1,4,7] => [6,3,5,2,1,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,5,8,2,4,6,3,1] => [5,2,8,4,1,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,6,1,4,3,2] => [2,8,7,5,1,6,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,2,1,3,7,4] => [4,8,5,2,1,6,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,5,6,2,1,8,7,4] => [2,8,1,4,3,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,7,2,4,6,8,1] => [4,1,2,5,6,3,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,5,2,7,3,1,8,4] => [5,8,3,2,1,6,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,5,2,6,3,1,7,8] => [1,6,3,2,5,4,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,2,3,7,6,8,5] => [6,5,1,8,2,3,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,5,2,7,3,4,8,1] => [5,6,3,2,1,4,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,1,6,7,4,3,8,2] => [3,1,6,5,4,8,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,2,6,4,8,7,3] => [4,8,5,1,7,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,8,6,4,7,3] => [6,5,1,8,7,2,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,6,8,7,3,4,2] => [3,1,6,8,7,5,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,5,2,8,3,7,4,1] => [8,5,2,1,7,3,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,1,2,3,8,7,5,6] => [7,1,8,6,2,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,3,8,6,5,7] => [7,6,1,8,2,3,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,1,2,3,8,6,7,5] => [6,1,8,7,2,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,3,8,5,7,6] => [8,6,1,7,2,3,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,1,6,8,4,3,5,2] => [6,5,3,8,7,2,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,6,8,2,3,1,7,4] => [4,1,5,2,8,6,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,2,4,3,1,7] => [7,4,2,1,6,5,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,8,2,4,3,7,1] => [6,4,2,1,5,8,7,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,5,2,8,3,4,1,6] => [5,7,3,2,6,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,8,3,7,1,4] => [5,7,2,1,8,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,7,3,4,1,8] => [5,7,3,2,1,6,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,6,7,4,3,2,8] => [3,1,7,6,5,2,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,6,8,7,3,2,4] => [3,1,7,6,8,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,6,8,4,3,2,5] => [7,6,5,3,8,2,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,8,6,3,4,2,1] => [5,1,2,8,7,6,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,1,8,3,6,5,7,2] => [1,6,4,5,8,7,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,8,3,6,2,7,5] => [1,8,4,6,5,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,4,8,6,2,7,5] => [8,1,6,3,5,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,4,8,6,5,2,7] => [7,1,6,3,5,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,6,5,8,3,2,4] => [7,6,4,3,8,2,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,1,6,5,7,3,2,8] => [1,4,3,7,6,2,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,2,6,3,7,1,8] => [1,5,3,2,4,7,6,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,2,7,3,8,1,6] => [1,5,2,7,3,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,2,4,8,7,1] => [2,8,1,4,3,5,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,2,4,8,1,7] => [4,1,2,5,3,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,5,6,8,4,1,2] => [3,7,4,1,2,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,5,2,8,1,7,4] => [8,4,1,3,2,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,1,6,5,8,3,4,2] => [6,4,3,8,7,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,2,6,3,8,4,1] => [8,5,3,2,4,1,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,1,2,3,5,8,7,6] => [8,7,2,1,3,4,5,6] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[4,1,2,3,7,8,6,5] => [5,1,8,7,2,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,6,8,5,7,3] => [4,1,6,8,7,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,2,5,6,8,7,3] => [8,4,1,5,7,2,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,2,6,3,7,8,1] => [1,5,3,2,4,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,5,6,1,4,3,2] => [8,7,5,3,1,6,4,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,8,4,2,1,5,3,6] => [4,7,5,3,6,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,1,2,5,7,3,8] => [5,7,3,2,4,1,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,8,1,7,2,5,6] => [2,1,6,7,8,4,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,3,1,4,7,2,5,8] => [4,2,6,7,3,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,3,5,4,2,1,6] => [7,3,6,5,4,1,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,4,1,2,3,6,5] => [8,4,5,3,6,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,6,5,4,1,2] => [7,8,3,1,6,5,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,2,6,4,1,3,5] => [6,7,3,5,1,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,2,5,6,4,1,3] => [7,4,8,3,1,6,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,1,6,5,4,3,2] => [8,7,6,5,3,1,4,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,2,1,7,5,4,3,8] => [7,6,2,5,3,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[2,1,8,7,5,4,3,6] => [7,6,5,8,1,4,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,8,2,6,4,7,5] => [8,6,2,4,5,7,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,3,7,1,6,4,8,2] => [6,2,1,5,8,4,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,6,2,7,4,1,8] => [7,2,1,4,3,6,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,2,5,8,7,4,3] => [8,4,7,6,2,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,2,1,5,3,8,7] => [3,5,2,8,4,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,3,7,5,8,1,2] => [2,7,3,1,5,4,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,8,7,5,6,1,2] => [7,1,5,8,2,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,3,7,6,4,2,8,5] => [5,8,6,2,4,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,7,5,6,8,4,3] => [4,5,3,8,1,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,2,8,6,4,1,5] => [7,6,8,1,3,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,1,7,6,4,5,2] => [6,8,7,1,5,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,5,7,3,6,4,2] => [3,8,5,7,6,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,5,8,3,6,1,4] => [5,3,7,2,8,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,5,3,1,4,7] => [6,5,2,7,1,4,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,6,7,3,8,4,1,2] => [1,4,2,7,3,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,2,8,1,4,7,3,6] => [5,7,1,8,2,4,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,7,5,2,1,3,8] => [6,1,5,2,7,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,5,7,6,1,8,3,2] => [8,1,2,7,5,4,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,5,8,3,2,7,4] => [5,3,2,8,6,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,5,7,1,2,8,3] => [8,1,5,3,2,6,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,5,6,3,1,8,2] => [3,8,1,6,5,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,1,6,3,4,2,8,7] => [4,5,3,1,8,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,1,4,2,3,8,6] => [8,5,3,1,4,6,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,6,4,3,8,1,2] => [7,1,5,4,3,2,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,2,4,1,8,3,7,5] => [3,8,2,6,1,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,3,5,4,8,1,7] => [5,2,3,4,1,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,1,3,4,5,8,7,2] => [8,3,4,5,1,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,4,2,7,6,8,3] => [3,6,5,1,8,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,2,4,7,8,3,5] => [7,4,5,2,8,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,2,4,1,6,3,8] => [7,3,1,5,4,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,4,2,8,5,3,7] => [3,7,6,8,2,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,7,5,8,1,4,3,2] => [1,8,7,5,3,2,6,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,8,7,6,3,4,1,2] => [7,1,5,8,6,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,1,7,2,6,5,3,8] => [1,7,6,4,5,2,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,8,2,1,5,6,3,7] => [3,1,5,7,4,6,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,8,7,6,5,3,4] => [7,8,6,5,1,4,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,1,4,7,8,2,6,5] => [8,1,6,3,4,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,1,6,3,8,5] => [1,8,6,2,4,5,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,8,6,3,5,7,1,2] => [4,7,1,5,3,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,1,2,5,3,7,6] => [5,1,8,3,4,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,8,6,5,2,4,1,7] => [5,7,6,1,4,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,5,6,1,4,7,2] => [6,3,8,1,5,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,8,2,1,6,4] => [5,1,8,2,6,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,8,5,1,4,2] => [2,8,6,1,3,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,6,8,5,2,1,4] => [7,6,3,1,2,8,5,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,7,1,6,4,2,5,8] => [6,1,5,7,3,4,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,8,6,2,3,5,7] => [5,1,6,7,4,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,8,6,3,5,1,2] => [7,5,1,2,8,6,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,8,7,6,5,4,1,2] => [7,8,6,5,1,4,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,8,1,6,4,5,3,7] => [5,7,6,1,3,4,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,7,5,1,4,3,6] => [7,5,6,4,8,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,6,7,5,1,3,4] => [6,7,3,8,5,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,8,6,5,4,1,3] => [7,2,8,6,5,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,3,1,2,7,4,8,5] => [2,8,6,3,4,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,2,7,1,3,8,5] => [8,3,2,5,1,6,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,2,5,1,3,8,6] => [8,3,2,5,4,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,3,6,1,7,2,4] => [3,7,2,8,5,4,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,3,7,1,2,5,8,6] => [2,1,8,4,5,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,2,7,1,4,8,5] => [8,1,3,5,2,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,3,7,4,1,2,8,5] => [8,2,5,4,1,6,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,1,5,2,3,8,6] => [1,8,5,3,4,6,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,5,1,2,4,8,6] => [8,1,4,5,3,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,4,2,3,8,1,5] => [4,5,3,7,2,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,2,3,7,1,5] => [4,5,3,7,2,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,6,3,8,1,2,5] => [6,1,4,7,3,2,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,4,2,3,8,1,6] => [4,1,5,3,7,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,6,1,8,3,4] => [7,1,8,3,5,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,7,5,2,8,1,3] => [2,5,1,7,4,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,2,6,3,7,1,4] => [5,1,7,3,4,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,6,1,2,7,4,5] => [7,8,1,4,5,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,4,3,7,1,2,5] => [6,4,3,1,7,8,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,8,5,3,7,1,2,4] => [6,4,1,7,3,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,5,7,1,2,4,6] => [5,6,1,3,7,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,8,5,7,1,3,4,6] => [5,6,3,7,8,1,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,8,5,6,1,2,4] => [6,7,2,4,1,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,7,5,8,1,2,4] => [6,7,2,1,4,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,6,4,8,1,3,5] => [6,4,7,3,1,2,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,5,8,1,3,4,7] => [5,6,3,1,2,7,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,6,5,8,1,2,4,7] => [5,6,1,3,2,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,7,4,8,1,3,6] => [2,6,4,7,1,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,6,7,2,8,1,3] => [2,1,5,3,7,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,7,1,4,8,2,6] => [5,1,2,7,8,4,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,7,2,4,8,1,6] => [2,4,1,5,7,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,7,3,8,1,2,6] => [2,1,6,4,7,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,6,3,8,1,2,5] => [2,6,4,7,3,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,6,3,7,1,2,5] => [2,6,4,7,3,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,1,6,7,2,3,5] => [6,2,7,4,8,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,1,6,8,2,3,5] => [6,2,7,4,8,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,1,7,8,2,3,6] => [6,2,1,7,4,8,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,7,1,8,2,4] => [3,7,2,1,8,5,4,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,1,2,7,8,3,4] => [7,5,8,3,2,1,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,3,6,4,7,8,1,2] => [4,2,1,3,7,5,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,3,7,4,8,5,1,2] => [4,7,2,1,3,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,5,3,8,1,6,2,4] => [3,7,2,8,5,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,1,8,6,2,3,5] => [6,2,7,8,5,3,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,7,2,8,1,6,3,4] => [7,1,8,3,5,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,8,2,5,1,3] => [2,5,1,7,3,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,7,8,5,1,2,4] => [6,7,2,1,3,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,8,2,7,1,4,5] => [4,6,1,2,7,8,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,8,7,1,2,5,6] => [2,1,5,6,7,8,4,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,3,8,7,1,2,4,6] => [2,5,1,6,7,8,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,4,7,6,1,2,3,5] => [5,2,6,7,8,4,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,4,8,7,1,2,3,6] => [5,2,1,6,7,8,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,5,8,7,1,2,4,6] => [5,1,2,6,7,8,4,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[2,5,8,7,1,3,4,6] => [5,2,6,7,8,1,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,5,8,6,4,1,2,3] => [6,2,7,1,8,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,4,7,5,1,2,3] => [6,3,1,7,8,5,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,8,7,1,6,2,3,4] => [6,1,7,8,4,5,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,3,1,4,2,8,7] => [5,3,1,8,4,2,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,3,8,2,1,6,4] => [3,5,2,8,6,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,3,8,1,2,6,4] => [3,1,8,5,6,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,4,5,3,2,6] => [4,7,6,3,5,8,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,7,8,4,1,6,5,3] => [4,8,7,5,1,2,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,8,4,2,6,5,3] => [4,8,7,5,6,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,1,4,8,6,3,2] => [8,4,2,7,6,3,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,5,3,1,8,4,7,2] => [3,6,2,1,8,7,4,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,3,1,2,5,7,4] => [6,3,8,4,5,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,4,2,6,5,3] => [4,8,7,3,5,6,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,3,8,4,1,6,5,2] => [4,8,2,7,5,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,4,5,7,2,8,1] => [3,4,1,2,6,5,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,2,7,4,6,8,1] => [2,5,1,6,3,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,3,6,2,4,8,1] => [3,5,2,6,4,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,2,5,1,8,4,7] => [2,7,3,4,1,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,3,6,2,7,1,4] => [3,5,2,7,4,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,2,7,4,5,8,1] => [5,6,1,3,2,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,5,7,3,6,8,1] => [3,1,5,6,2,4,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,7,6,2,3,8,1] => [2,1,5,6,4,3,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,3,5,2,4,8,1] => [3,5,1,6,4,2,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,3,1,2,8,4,7] => [7,3,8,4,2,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,7,3,1,2,8,4,6] => [7,3,1,8,4,5,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,2,6,5,1,8,3,7] => [1,7,4,2,3,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,8,6,2,7,1,3] => [2,1,5,7,4,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,3,5,2,7,1,4] => [3,5,1,7,4,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,1,5,7,2,3,6] => [1,6,4,7,8,3,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,8,3,7,1,5,6] => [4,1,6,7,8,2,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,7,5,8,2,3,6] => [1,6,4,7,3,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,5,7,1,8,3,6] => [3,1,7,8,2,5,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,2,7,1,8,4,5] => [7,8,1,3,2,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,1,5,8,2,4,6] => [2,6,4,7,8,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,1,5,8,4,6,7] => [2,1,4,6,7,8,3,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[5,4,1,3,6,8,2,7] => [4,5,2,1,7,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,3,4,6,8,2,7] => [3,4,2,5,7,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,5,1,6,8,2,7] => [2,1,5,3,7,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,6,3,8,7,1,2] => [2,1,4,3,7,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,4,5,8,7,1,2] => [3,4,1,2,7,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,5,3,4,8,7,1,2] => [3,4,2,1,7,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,2,8,7,1,4,6] => [2,6,1,7,8,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,1,8,7,2,4,6] => [2,6,1,7,8,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,5,3,7,6,1,2,4] => [3,6,2,7,8,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,7,3,8,2,5,1,4] => [3,5,1,7,2,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,7,8,2,6,1,3] => [2,1,5,7,3,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,2,5,8,7,1,3,6] => [3,1,6,7,8,2,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,2,8,7,1,4,5] => [6,7,1,2,8,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,5,8,7,2,3,6] => [3,1,6,7,8,5,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,4,8,7,6,1,2,3] => [2,1,6,7,8,5,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,8,3,7,5,1,2,4] => [3,6,1,7,8,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,1,6,7,3,2,4,5] => [6,5,7,3,8,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,5,3,7,2,4,6] => [4,6,3,7,8,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,5,3,6,2,4,7] => [4,6,3,7,2,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,8,3,6,2,4,1] => [4,2,6,1,8,7,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,1,3,2,6,5,8] => [4,7,3,2,5,6,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,4,3,2,6,5,7] => [4,3,7,2,5,6,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,4,3,2,7,5,6] => [4,3,7,8,2,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,4,3,2,7,6,5] => [3,8,4,7,2,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,5,4,6,7,2,3] => [4,3,7,5,8,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,3,2,6,7,5] => [4,3,6,8,2,5,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,4,3,2,5,7,6] => [4,3,8,2,5,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,4,3,2,5,6,7] => [5,4,2,3,6,7,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[7,4,1,3,2,5,6,8] => [5,3,4,2,6,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,8,3,2,5,6,1] => [2,5,4,6,1,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,3,8,2,5,7,1] => [3,2,5,1,6,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,1,3,2,5,8,6] => [4,8,3,2,5,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,4,1,3,2,6,8,5] => [4,6,2,8,3,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,3,6,2,1,4] => [4,2,7,6,1,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,8,3,2,6,1,5] => [2,5,4,7,1,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,8,3,2,5,1,6] => [2,5,4,7,6,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,3,8,2,5,1,7] => [3,2,5,1,7,6,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,7,2,5,8,1] => [3,2,5,1,6,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,2,8,6,1,7] => [3,2,1,7,4,6,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,3,8,7,2,1,4] => [7,3,2,1,6,8,5,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,4,8,7,1,2,3] => [6,3,2,1,7,8,5,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,4,1,7,8,2,3] => [7,5,3,2,1,8,4,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,5,3,1,7,2,8,4] => [3,8,6,4,2,1,5,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,4,3,1,2,7,8,5] => [6,3,2,8,4,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,3,2,1,8,6,7] => [4,3,2,1,7,8,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,5,3,1,8,2,7,4] => [3,8,6,2,1,7,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,4,1,8,7,2,3] => [7,3,2,1,8,6,4,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,1,4,8,6,2,3] => [4,7,2,8,6,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,4,1,3,2,8,6,5] => [8,4,2,7,3,5,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,1,3,2,8,5,6] => [4,7,2,8,3,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,3,1,2,7,5,8] => [7,4,3,2,5,1,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,4,3,8,2,7,5,1] => [2,8,3,1,5,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,3,8,7,2,4,1] => [6,2,1,8,3,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,3,1,7,2,4,8] => [6,3,7,4,2,1,5,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,5,3,1,8,2,4,7] => [6,3,7,2,1,8,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,1,8,3,2,4,5] => [6,5,7,8,3,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,1,8,4,5,2,3] => [7,5,8,6,3,2,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,8,1,4,5,2,3] => [7,5,8,4,2,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,8,1,3,2,5,4] => [5,8,4,6,2,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,3,7,8,2,4,1] => [6,3,2,1,4,8,7,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,4,3,7,2,8,5,1] => [2,8,3,1,5,4,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,3,7,2,1,5,8] => [3,2,6,5,1,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,8,3,2,1,5,6] => [2,6,5,4,7,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,8,3,2,1,6,5] => [2,5,4,8,6,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,8,3,1,2,6,4] => [8,5,4,2,6,1,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,5,8,4,1,6,2,3] => [7,2,8,5,4,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,4,8,1,7,2,3] => [7,3,2,1,8,5,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,3,8,1,2,7,4] => [3,8,5,2,1,6,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,3,2,8,1,7,6] => [3,2,1,8,4,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,3,7,2,1,8,5] => [3,2,5,1,8,6,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,3,7,1,2,8,4] => [3,8,5,2,1,6,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,4,7,1,8,2,3] => [7,3,2,1,8,5,4,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,3,7,8,2,1,4] => [7,3,2,1,6,4,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,3,7,2,8,1,5] => [3,2,5,1,7,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,2,7,8,1,6] => [3,2,1,7,4,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,3,2,6,8,1,7] => [4,3,2,1,5,7,8,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,6,2,1,3,4,8,7] => [3,8,4,1,5,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,8,2,7,4,1,3,6] => [6,1,7,3,5,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,8,2,1,4,6] => [6,2,1,5,7,3,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,6,1,2,5,8,3,4] => [7,5,8,3,4,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,7,4,1,5,6,2] => [6,2,4,8,5,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,8,1,2,5,4,6,3] => [6,5,8,3,4,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,3,1,4,7,5] => [4,8,5,1,2,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,1,8,3,2,4,5,7] => [5,4,6,7,1,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,5,1,6,8,3,4,2] => [6,4,2,8,7,3,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,5,2,1,8,7,4,3] => [8,7,3,2,1,6,4,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[4,7,2,8,1,3,6,5] => [1,8,3,5,6,2,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,8,6,1,2,5,4] => [8,2,5,6,1,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,8,2,4,3,5,6,7] => [5,3,4,6,7,8,1,2] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,2,4,3,5,6,8] => [5,3,4,6,7,1,2,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,6,2,4,3,5,7,8] => [5,3,4,6,1,2,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,2,4,3,6,7,8] => [5,3,4,1,2,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,6,2,5,3,4,7,8] => [5,6,3,4,1,2,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,7,2,5,3,4,6,8] => [5,6,3,4,7,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,2,5,3,4,6,7] => [5,6,3,4,7,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,8,2,7,3,5,4,6] => [7,5,6,8,3,4,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,7,2,8,3,5,4,6] => [7,5,6,8,3,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,2,8,3,5,4,7] => [7,5,6,2,8,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,8,3,6,4,7] => [7,5,2,6,8,1,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,2,8,3,6,5,7] => [2,7,5,6,8,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,2,8,4,6,5,7] => [7,2,5,6,8,1,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,3,8,4,6,5,7] => [7,5,6,8,1,2,3,4] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,7,4,6,5,8] => [7,5,6,1,2,3,4,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,3,2,7,4,6,5,8] => [7,2,5,6,1,3,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,2,7,3,6,5,8] => [2,7,5,6,1,3,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,7,3,6,4,8] => [7,5,2,6,1,3,4,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,6,2,7,3,5,4,8] => [7,5,6,3,1,2,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,2,6,3,5,4,8] => [7,5,6,3,4,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,2,6,3,5,4,7] => [7,5,6,3,4,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,2,5,3,6,4,7] => [7,5,3,4,6,8,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,7,2,5,3,6,4,8] => [7,5,3,4,6,1,2,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,2,5,3,7,4,8] => [7,5,3,4,1,2,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,4,3,7,6,8] => [4,7,3,1,2,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,6,2,4,3,7,5,8] => [4,7,3,5,1,2,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,7,2,4,3,6,5,8] => [4,7,3,5,6,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,2,4,3,6,5,7] => [4,7,3,5,6,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,8,2,3,4,6,5,7] => [7,3,4,5,6,8,1,2] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,2,3,4,6,5,8] => [7,3,4,5,6,1,2,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,8,2,3,4,7,5,6] => [7,8,3,4,5,6,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,2,4,3,8,6,7] => [4,7,2,8,1,3,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,2,5,3,8,4,7] => [7,4,8,3,1,2,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,2,5,3,8,4,6] => [7,4,8,3,5,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,2,5,3,7,4,6] => [7,4,8,3,5,6,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,2,6,3,7,4,5] => [7,8,5,3,4,6,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,7,2,6,3,8,4,5] => [7,8,5,3,4,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,3,8,4,7,5,6] => [7,8,5,6,1,2,3,4] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,8,4,7,5,6] => [7,8,2,5,6,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,8,3,7,4,6] => [7,2,8,5,6,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,8,3,7,4,5] => [7,8,5,2,6,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,2,8,3,6,4,5] => [7,8,5,6,3,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,2,7,3,6,4,5] => [7,8,5,6,3,4,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,3,7,5,2,1,8] => [7,1,3,2,6,5,4,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,3,8,5,1,7,2] => [8,1,3,2,6,5,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,8,3,4,1,2,7] => [1,6,4,2,7,5,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,3,4,1,7,2] => [1,4,2,8,6,5,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,2,7,5,3,1,8] => [7,1,6,3,2,5,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,7,2,4,3,1,8] => [1,7,4,2,6,5,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,8,4,3,1,2,7] => [1,6,2,7,5,4,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,4,1,6,3,2] => [8,1,7,5,4,2,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,8,4,2,1,7,3] => [1,5,2,8,6,4,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,8,2,4,1,7,3] => [1,8,4,2,6,5,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,2,8,5,1,7,3] => [8,1,6,3,2,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,6,8,5,1,7,4] => [3,8,1,6,2,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,6,8,5,1,4,7] => [6,1,3,7,2,5,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,6,8,2,4,1,3,7] => [4,1,6,2,7,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,8,4,2,1,3,7] => [1,6,5,2,7,4,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,8,4,1,3,2,6] => [1,7,5,6,4,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,4,1,2,6,3] => [1,8,5,6,4,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,4,1,2,3,6] => [5,1,6,7,4,2,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,8,1,5,2,3,4] => [6,7,1,8,4,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,1,5,2,4,3] => [8,6,1,7,4,2,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,1,5,3,2,4] => [7,6,1,8,4,2,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,1,3,5,2,4] => [5,7,1,8,4,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,2,1,6,3,4] => [4,1,7,8,5,2,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,7,8,1,6,4,5] => [7,8,1,5,2,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,7,8,1,6,5,4] => [8,7,1,5,2,3,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,2,8,1,6,5,3] => [8,1,7,3,5,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,2,1,6,4,3] => [1,8,4,7,5,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,1,3,5,4,2] => [8,5,1,7,4,2,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,1,5,3,4,2] => [6,1,8,7,4,2,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,8,1,5,4,3,2] => [1,8,7,6,4,2,5,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,7,8,1,5,4,2,3] => [7,1,8,6,4,2,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,8,1,4,5,2,3] => [7,5,1,8,4,2,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,1,4,5,3,2] => [5,1,8,7,4,2,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,8,1,4,3,5,2] => [6,5,1,8,4,2,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,8,1,3,4,5,2] => [5,6,1,8,4,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,2,1,4,6,3] => [4,1,6,8,5,2,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,7,8,1,5,6,4] => [6,8,1,5,2,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,6,8,4,1,7,5] => [5,1,3,8,2,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,6,8,3,2,1,7,4] => [1,5,4,2,8,6,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,8,3,1,4,6,2] => [1,6,4,8,5,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,8,3,1,6,2,4] => [1,7,4,8,5,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,3,8,1,6,5,2] => [8,1,3,7,5,2,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,3,2,8,1,7,6] => [1,3,2,8,4,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,2,3,8,1,7,6] => [1,8,3,2,4,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,5,3,2,8,1,6,7] => [1,4,3,2,6,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,7,3,8,1,2,5,6] => [1,5,3,6,7,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,8,3,1,2,4,6] => [5,1,6,4,7,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,3,1,2,6,4] => [1,8,5,4,6,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,8,3,1,4,2,6] => [1,7,5,4,6,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,3,2,1,4,7] => [1,6,5,4,2,7,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,2,7,8,1,5,4,6] => [7,1,5,6,2,3,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,7,8,2,1,4,3,6] => [4,1,7,5,6,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,8,1,3,4,2,5] => [5,7,4,1,6,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,1,4,3,2,5] => [7,6,4,1,5,2,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,8,1,4,2,5,3] => [8,6,4,1,5,2,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,8,1,4,2,3,5] => [6,7,4,1,5,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,1,2,5,3,4] => [7,8,4,1,5,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,1,2,5,4,3] => [8,7,4,1,5,2,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,8,1,2,4,5,3] => [6,8,4,1,5,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,1,3,2,5,4] => [5,8,4,1,6,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,8,2,1,3,6,4] => [4,1,8,5,6,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,7,8,1,4,6,5] => [8,1,5,6,2,3,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,7,8,1,3,2,4,5] => [6,4,5,1,7,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,8,1,2,4,3,5] => [7,4,5,1,6,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,8,1,2,3,5,4] => [8,4,5,1,6,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,5,1,6,4,3] => [8,7,5,2,4,1,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,3,7,5,4,2,6,8] => [6,5,2,4,7,1,3,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,2,8,5,4,1,6,3] => [8,6,5,2,4,1,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,8,5,4,3,1,7,6] => [5,4,3,8,1,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,6,5,7,3,1,4] => [7,6,4,3,8,1,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,8,4,5,3,7,1,6] => [3,5,4,7,8,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,4,3,5,6,1,7] => [4,3,5,7,1,6,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,8,4,5,6,1,3] => [4,7,5,8,2,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,6,3,7,5,2,4,8] => [6,7,3,2,5,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,3,8,5,1,7,4] => [8,6,2,3,1,5,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,4,8,5,2,1,3,6] => [2,6,5,7,4,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,8,5,1,3,7,2] => [2,6,1,8,5,4,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,7,5,2,1,8,4] => [5,8,2,1,6,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,3,7,5,1,2,8,6] => [1,8,2,5,4,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,7,1,5,6,8,2] => [2,1,5,6,8,4,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,6,1,7,5,2,8,4] => [8,6,1,5,3,2,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,6,5,7,1,4,8,2] => [6,3,1,2,8,5,4,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,5,2,7,4,1,8,3] => [8,6,3,2,1,5,4,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[3,5,2,6,4,8,7,1] => [4,1,2,8,3,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,1,8,6,4,7,2] => [6,2,1,5,8,7,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,6,1,8,7,2,4,3] => [1,8,6,2,7,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,5,8,2,7,4,1] => [3,8,2,1,5,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,8,4,2,3,7,1] => [5,2,1,6,4,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,5,8,3,7,1,4] => [5,3,7,1,8,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,6,5,7,3,4,2,8] => [5,3,2,7,6,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,2,1,8,7,6,3,4] => [7,1,8,6,2,5,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,4,8,6,1,7,5] => [8,6,1,2,3,5,7,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,4,8,6,5,1,7] => [7,6,1,2,3,5,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,2,4,7,8,6,1,5] => [7,1,4,8,2,3,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,4,6,2,7,3,8] => [3,2,7,5,1,4,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,2,4,7,1,8,3,6] => [3,7,1,8,2,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,4,1,8,7,2] => [4,2,1,3,8,7,5,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,6,1,4,8,2,7] => [2,5,1,7,3,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,5,1,8,2,7,4] => [8,2,6,3,1,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,1,5,8,4,7,3] => [4,6,2,8,1,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,6,5,8,3,4,1] => [6,4,3,2,8,1,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,7,1,6,3,8,4,2] => [1,8,5,4,7,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,2,4,1,7,8,5,6] => [1,7,2,3,5,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,6,4,7,8,2,5,1] => [6,3,1,2,4,8,7,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,5,4,6,1,7,8,3] => [3,2,6,1,4,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,3,2,1,6,5,8] => [4,3,2,7,5,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,3,2,5,4,8,1] => [3,6,4,1,5,2,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,4,5,2,3,7,6] => [3,8,5,4,6,7,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,2,1,5,6,3,4,8] => [6,2,4,7,3,5,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,1,6,5,4,3,8] => [7,6,2,5,3,4,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,6,1,5,4,2,8] => [7,2,6,4,5,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,5,4,3,2,7,6] => [5,4,3,8,6,7,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,6,4,3,7,2,5] => [5,4,7,3,8,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,7,4,3,1,8,2] => [2,1,8,6,5,4,3,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,4,7,5,1,3,8,2] => [2,6,1,8,5,4,3,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,3,7,1,5,4,8,2] => [6,2,5,1,8,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,1,7,5,4,8,3] => [6,5,2,4,1,8,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,8,1,5,4,7,6] => [5,8,1,2,4,6,7,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,8,5,1,3,7,6] => [8,2,5,1,4,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,8,4,3,1,7,6] => [2,5,4,8,1,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,8,4,3,7,1,5] => [5,4,2,7,8,1,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,7,8,4,3,6,5,1] => [4,8,5,2,7,1,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,7,4,3,6,5,2] => [4,8,5,7,6,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,7,5,6,3,4,2] => [6,4,8,7,5,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,7,8,5,6,3,4,1] => [6,4,2,8,7,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,8,5,7,3,1,4] => [2,7,6,4,8,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,1,8,6,7,4,5] => [7,1,5,8,2,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,1,7,6,8,4,3] => [5,4,1,8,2,7,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,1,6,8,4,2] => [5,1,8,2,7,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,7,6,1,8,3,2] => [1,8,2,7,5,4,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,5,7,6,8,1,3,2] => [8,1,2,6,4,3,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,5,8,3,1,2] => [2,7,1,4,3,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,6,5,7,3,2,4] => [7,6,4,3,8,5,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,5,6,7,2,3,4] => [6,3,7,4,8,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,5,6,8,2,3,1] => [3,6,1,4,2,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,5,7,8,2,1,3] => [3,1,2,7,6,4,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,6,7,1,8,2,3] => [2,1,7,3,8,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,6,1,7,8,2,4] => [7,2,1,5,3,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,1,6,7,8,3,4] => [4,7,2,1,5,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,2,1,5,7,3,8,4] => [4,8,2,6,3,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,5,1,7,2,8,4] => [8,2,6,4,3,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,5,7,1,2,8,3] => [2,8,5,3,1,6,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,4,7,2,1,8,3] => [5,3,2,1,8,6,4,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,6,4,7,2,8,1,3] => [1,5,3,2,7,4,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,3,2,6,7,4,5] => [7,3,5,8,4,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,3,2,6,8,4,1] => [3,1,5,8,4,2,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,3,2,7,8,1,4] => [3,1,7,4,2,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,3,2,7,1,8,4] => [3,8,4,2,1,6,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,3,2,1,7,8,5] => [4,3,2,6,1,8,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,1,4,3,8,7,6] => [8,2,4,1,7,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,4,1,2,8,7,6] => [2,3,1,8,7,4,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,7,3,2,8,6,5,1] => [8,1,3,7,4,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,4,8,2,6,5,1] => [8,3,5,1,2,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,4,8,2,7,1,5] => [3,5,1,2,7,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,4,8,2,1,7,6] => [3,1,2,5,8,6,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,5,1,8,2,7,6] => [2,1,3,8,6,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,5,8,3,7,6] => [8,2,1,4,6,7,3,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,1,6,8,7,3,5] => [4,1,7,8,2,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,1,8,7,2,5] => [1,7,2,3,8,6,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,6,8,1,7,2,5] => [7,1,2,3,8,5,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,6,8,7,1,2,4] => [2,6,1,3,7,8,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,5,8,7,2,1,4] => [3,2,7,1,6,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,5,7,6,2,4,3] => [3,8,6,7,5,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,6,7,5,4,2,3] => [7,3,8,6,5,4,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[3,6,7,8,5,4,1,2] => [2,7,3,8,1,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,8,1,7,6,5,4] => [8,7,6,1,2,4,5,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,4,8,7,1,6,5,3] => [8,7,2,5,6,1,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,5,8,7,6,1,4,3] => [8,2,6,7,5,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,5,1,7,4,6,2] => [6,2,3,8,7,4,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,2,1,7,5,8,3] => [1,6,3,5,2,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,2,7,5,8,3] => [6,2,5,3,8,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,5,2,6,8,4,3] => [5,3,8,7,4,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,5,2,1,6,8,4,3] => [5,8,3,2,7,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,4,3,1,7,5,2] => [4,3,1,8,7,5,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,6,8,4,1,7,5,2] => [4,2,8,1,7,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,5,1,8,4,2] => [2,8,7,1,5,4,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,4,6,5,7,1,8,2] => [4,1,2,3,8,6,5,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,7,5,6,1,8,3,2] => [3,8,1,7,5,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,5,1,8,4,3,2] => [1,8,7,6,4,3,2,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,8,4,1,7,5,3,2] => [3,1,8,7,6,4,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,5,3,1,8,4,2] => [4,1,8,7,5,3,2,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,4,2,1,6,7,5,3] => [5,2,8,3,7,4,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,3,2,7,6,8,4] => [6,3,2,5,8,1,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,3,2,1,7,6,8,4] => [2,6,3,1,5,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,3,1,7,6,8,4] => [6,3,1,2,5,8,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,7,5,1,6,8,4,3] => [5,3,8,7,1,4,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,4,6,1,7,5,8,3] => [6,2,5,1,3,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,1,6,5,8,2,3] => [7,1,5,4,8,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,2,6,5,7,1,3] => [7,1,5,3,4,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,6,1,2,7,5,8,3] => [1,6,5,8,3,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,5,1,2,6,8,4,3] => [5,8,7,3,2,4,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,3,1,2,7,6,8,4] => [2,6,5,1,8,3,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,5,3,7,6,8,4] => [3,6,5,8,1,2,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,3,1,2,7,6,8,5] => [2,1,6,5,8,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,2,7,6,8,4] => [6,1,5,2,8,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,7,1,5,8,2,3,4] => [6,7,4,1,8,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,6,1,5,8,3,4] => [7,5,8,4,1,3,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,5,1,7,6,8,4] => [3,6,1,2,5,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,6,1,5,8,3,2,4] => [7,6,4,8,3,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,1,6,5,8,2,4,3] => [8,6,4,3,7,2,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,1,6,8,4,2,3] => [7,4,2,8,6,3,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,4,1,6,7,5,2,3] => [2,7,4,8,6,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,3,5,2,7,6,8,4] => [3,6,2,5,8,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,7,6,2,5,8,3,4] => [7,5,8,4,3,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,6,2,1,5,8,3,4] => [7,3,5,8,4,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,4,1,7,5,8,3] => [3,6,2,5,1,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,4,8,2,5,3] => [4,8,6,3,7,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,2,6,4,7,1,5,3] => [4,8,6,2,3,7,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,1,5,2,7,4,8,3] => [6,5,3,8,2,1,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,6,2,5,8,3,1,4] => [7,6,3,4,2,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,5,7,6,2,1,4] => [3,7,2,6,8,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,5,2,3,7,6,8,4] => [6,5,2,8,1,3,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,2,1,3,7,6,8,4] => [6,2,5,1,8,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,5,2,6,8,4,1,3] => [7,4,2,8,3,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,2,6,5,7,1,4,3] => [8,6,4,2,3,7,5,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,1,3,2,7,6,8,4] => [6,3,5,1,8,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,3,2,7,6,8,5] => [6,3,1,5,8,2,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,3,7,6,8,5] => [6,2,1,5,8,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,2,3,7,6,8,5] => [2,6,5,8,1,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,4,1,3,7,6,8,5] => [2,6,1,5,8,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,1,3,7,6,8,4] => [6,5,1,2,8,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,8,2,3,5,7,1,4] => [7,3,4,1,5,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,7,1,3,5,8,2,4] => [7,4,5,1,8,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,5,7,6,1,2,4] => [6,2,3,7,8,5,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,1,2,3,7,6,8,4] => [6,5,8,2,1,3,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,1,2,4,7,6,8,5] => [1,6,5,8,2,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[8,1,2,4,3,6,5,7] => [4,7,2,3,5,6,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,1,3,5,6,2,7,4] => [4,8,3,6,2,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,2,4,5,7,6] => [3,8,2,4,5,6,7,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,6,3,8,4,5,7,1] => [5,6,2,8,1,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,1,4,2,6,8,5] => [4,2,6,8,3,5,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,1,5,6,8,2,3] => [4,2,7,5,8,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,8,5,6,1,2,3] => [6,7,1,4,2,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,8,5,6,2,1,4] => [7,6,4,1,2,8,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,7,8,4,2,6,1,5] => [5,4,7,1,2,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,2,8,4,5,1,7] => [5,7,1,3,2,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,6,7,4,5,8,1] => [5,3,6,1,2,4,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,2,4,8,6,1,7] => [7,1,3,2,4,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,4,2,8,7,1,6] => [3,1,2,7,8,4,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,6,5,8,7,1,2,3] => [6,1,3,2,7,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,5,1,7,8,2,3] => [2,7,5,3,1,8,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,4,1,2,3,8,5,6] => [7,8,3,2,4,5,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,5,8,7,3,4,1] => [3,2,6,8,7,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,5,1,7,3,4,8] => [6,7,2,4,3,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,4,6,7,3,8,5,1] => [3,8,2,5,1,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,6,7,3,1,5,8] => [1,6,5,2,3,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,4,8,1,7,2,3] => [1,7,3,2,8,5,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,8,1,2,7,4] => [3,1,8,5,2,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,5,3,7,1,6,8] => [4,2,1,3,6,7,5,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,6,7,2,1,8,5] => [1,5,2,3,8,6,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,6,7,2,8,1,5] => [5,1,2,3,7,4,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,2,5,6,8,1,7] => [1,3,2,4,5,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,2,7,8,6,4,1,3] => [1,7,3,8,6,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,2,7,8,6,4,3] => [4,1,8,7,6,2,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,7,1,8,6,5,2,3] => [7,8,1,6,5,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,7,1,2,8,6,5,3] => [8,1,7,6,3,4,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,8,1,2,7,5,3] => [8,1,7,4,2,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,1,5,3,2,4] => [7,6,1,8,4,5,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,7,3,5,1,2,4] => [6,4,1,7,8,5,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,8,1,3,6,5,2,4] => [7,8,4,6,3,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,3,6,5,2,1,4] => [7,3,6,1,8,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,7,2,8,6,1,5,3] => [8,1,6,7,3,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,3,4,8,6,5,2] => [8,7,3,4,2,6,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,2,7,1,8,6,5,3] => [8,1,7,6,2,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,2,3,6,5,1,4] => [7,8,3,4,1,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,1,6,2,3,4] => [6,7,2,8,4,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,2,7,1,3,5,4] => [8,3,5,1,6,7,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,7,2,5,3,1,4] => [7,4,1,6,8,5,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,6,8,3,7,4,5,2] => [6,2,8,4,7,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,4,8,1,7,5,3] => [8,3,7,2,1,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,2,3,5,1,4] => [4,5,1,7,8,6,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,2,1,7,3,5,4] => [8,3,6,1,7,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,7,2,1,6,3,4] => [4,7,2,8,5,6,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,2,1,4,3,5] => [4,7,5,6,8,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,7,2,3,1,6,4] => [4,5,2,8,6,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,4,2,7,1,6,3] => [1,8,4,3,6,7,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,7,3,5,4,6,2] => [6,4,5,8,7,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,2,5,4,7,1,6,3] => [4,3,8,2,6,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,2,7,3,1,6,4] => [5,8,3,2,6,7,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,7,6,2,4,3,1,5] => [7,4,6,5,8,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,1,2,4,3,5] => [7,4,5,6,8,3,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,6,1,4,2,3,5] => [6,7,4,5,8,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,6,4,1,3,2,5] => [7,5,6,4,8,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,4,7,2,1,6,3] => [1,5,3,8,6,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,7,5,4,3,6,2] => [6,5,4,8,7,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,6,8,4,3,7,5,2] => [4,2,8,5,7,6,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,7,3,2,5,1,4] => [5,4,1,7,8,6,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,1,7,3,2,5,4] => [5,8,6,1,7,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,7,3,1,6,2,4] => [7,4,2,8,5,6,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,7,1,3,2,6,4] => [5,8,4,2,6,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,7,3,1,2,6,4] => [8,5,4,2,6,7,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,8,4,7,1,2,6,3] => [1,8,5,3,6,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,4,1,7,2,6,3] => [1,8,6,3,7,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,4,7,1,6,2,3] => [1,7,3,8,5,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,2,6,5,7,4,3] => [5,4,8,7,2,3,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,2,5,6,7,4,1,3] => [3,7,4,8,2,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,5,7,1,6,2,3] => [7,1,3,8,5,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,5,1,7,2,6,3] => [8,1,6,3,7,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,3,1,7,2,6,4] => [3,8,6,2,7,4,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,7,1,2,6,4] => [3,8,5,2,6,7,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,1,3,7,2,5,4] => [8,4,6,1,7,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,2,8,1,7,5,3] => [8,1,7,3,2,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,4,8,3,7,5,2] => [8,3,2,5,7,6,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,7,4,5,3,6,2] => [4,6,5,8,7,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,8,5,7,2,1,6,3] => [5,1,3,8,6,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,5,3,7,2,1,6,4] => [3,5,2,8,6,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,3,1,4,2,5] => [7,5,4,6,8,3,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,6,1,3,2,4,5] => [6,4,5,7,8,3,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,5,3,2,7,1,6,4] => [3,8,4,2,6,7,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,5,2,7,1,6,3] => [8,1,4,3,6,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,7,4,3,5,6,2] => [5,4,6,8,7,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,5,2,3,7,1,6,4] => [8,3,4,2,6,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,3,1,5,4,2,8,7] => [2,5,4,8,3,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,4,2,1,7,3,6] => [4,7,3,2,8,5,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,4,2,1,7,6,3] => [8,4,3,2,7,5,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,4,2,1,3,8,7] => [4,8,5,3,2,1,6,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,5,4,2,3,1,8,7] => [4,5,3,2,1,8,6,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,2,5,1,4,8,7] => [2,8,3,5,4,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,5,4,3,1,2,8,7] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[6,5,4,1,3,2,8,7] => [5,8,4,3,2,1,6,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,5,4,1,2,7,6,3] => [8,7,4,3,2,5,6,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,7,4,1,6,3,2,5] => [7,6,3,8,4,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,4,1,6,3,5,2] => [6,3,8,7,4,5,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,4,1,6,5,3,2] => [3,8,7,6,4,5,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,4,1,3,7,6,2] => [8,5,3,2,7,4,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,4,3,1,7,6,2] => [4,3,2,8,7,5,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,1,8,5,3,7,6,4] => [4,8,7,1,5,6,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,3,2,5,1,7,4,6] => [2,7,3,4,8,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,4,3,1,7,2,6] => [7,4,3,2,8,5,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,4,1,3,7,2,6] => [5,7,3,2,8,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,4,1,6,5,2,3] => [7,3,8,6,4,5,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,4,1,6,2,5,3] => [8,6,3,7,4,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,6,5,2,1,4,3] => [5,8,6,7,4,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,4,3,6,2,1,5] => [4,3,7,6,8,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,2,7,6,4,1,5] => [7,2,6,8,3,5,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,8,7,6,4,3,5] => [7,6,8,5,1,4,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,8,7,6,4,5,3] => [6,8,7,5,1,4,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,3,2,7,6,4,5,1] => [6,8,2,7,3,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,4,3,6,2,5,1] => [4,3,6,8,7,5,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,5,2,4,3,1] => [8,5,7,6,4,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,5,4,2,3,7,6,1] => [8,4,3,2,5,7,6,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,7,4,2,6,5,3,1] => [3,8,7,4,6,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,4,2,6,3,5,1] => [6,3,8,4,7,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,4,2,6,3,1,5] => [7,4,3,6,8,5,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,3,1,7,6,4,2,5] => [7,2,6,8,5,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,1,7,6,4,5,2] => [6,8,2,7,5,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,1,7,6,5,4,2] => [8,7,2,6,5,3,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,1,5,4,7,2,6] => [2,5,4,7,8,3,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,1,7,6,5,2,4] => [7,8,2,6,5,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,1,7,6,2,5,4] => [8,2,6,7,5,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,4,2,6,1,5,3] => [8,4,3,6,7,5,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,4,2,6,5,1,3] => [7,3,8,4,6,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,4,2,3,7,1,6] => [4,5,3,2,7,8,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,3,2,5,4,7,1,6] => [2,5,3,4,7,8,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,8,5,4,7,3,6] => [5,4,7,8,1,6,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,3,2,7,6,5,1,4] => [7,8,2,6,3,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,4,3,6,5,1,2] => [4,3,7,8,6,5,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,5,3,1,4,2] => [8,6,5,7,4,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,6,5,1,3,2,4] => [7,5,6,8,4,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,5,1,3,4,2] => [6,8,5,7,4,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,6,5,1,4,3,2] => [8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,6,5,4,1,3,2] => [8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,7,4,3,6,1,5,2] => [4,3,8,6,7,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,2,7,6,1,5,4] => [8,2,6,7,3,5,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,8,7,6,3,5,4] => [8,6,7,5,1,4,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,6,5,1,4,2,3] => [7,8,5,6,4,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,6,5,1,2,4,3] => [8,5,6,7,4,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,3,5,1,8,4,6,2] => [6,2,3,8,7,4,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,5,2,7,4,3,8] => [7,6,4,3,1,2,5,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[7,4,3,1,8,6,5,2] => [2,8,3,7,6,4,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,1,8,4,3,2] => [8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[7,6,4,1,8,5,3,2] => [3,8,7,6,4,2,1,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,4,2,1,8,7,5,3] => [2,8,7,3,1,6,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,5,3,2,7,6,4,8] => [7,3,2,6,1,4,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,3,2,1,8,7,6,4] => [8,2,1,7,3,6,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,3,1,7,8,6,4] => [5,2,8,1,3,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,4,1,7,8,5,3] => [3,5,2,8,1,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,5,1,7,8,4,3] => [5,3,2,8,1,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,1,2,8,4,3,7] => [7,6,8,3,2,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,1,2,8,5,3,7] => [7,6,2,8,3,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,3,1,2,8,6,4,7] => [2,7,6,1,8,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,1,2,8,6,5,7] => [2,1,7,6,8,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,5,8,3,4,7] => [6,4,7,8,2,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,1,5,6,8,2,3,4] => [6,3,7,4,8,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,1,5,7,8,3,4] => [4,7,5,1,2,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,4,1,6,8,5,2,3] => [2,7,4,8,6,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,2,3,1,8,6,7,4] => [6,8,2,1,3,7,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,2,1,6,8,7,4] => [8,1,3,2,5,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,2,5,7,3,4,8] => [6,4,7,3,1,2,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,2,5,1,8,4,7,3] => [6,3,8,2,1,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,4,8,7,3,5] => [7,8,2,4,1,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,1,3,8,7,4,6] => [7,8,2,1,6,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,5,1,3,8,4,2,6] => [7,4,6,2,8,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,7,1,4,8,2,5] => [5,7,1,2,8,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,6,1,4,8,3,2,5] => [4,7,6,8,3,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,2,1,3,8,7,5,6] => [7,1,8,2,6,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,1,4,7,8,3,5] => [7,4,5,1,2,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,3,5,8,2,4,6] => [6,3,4,7,8,2,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,4,5,2,3,1,8,6] => [4,2,5,3,8,6,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,7,3,5,2,4,1] => [4,6,2,8,7,5,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,2,4,1,6,3,8,7] => [5,2,3,1,8,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,3,5,2,8,7] => [4,1,5,3,8,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,4,1,5,2,8,7] => [2,5,3,8,4,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,2,6,3,4,1,8,7] => [4,5,2,1,3,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,7,3,4,1,8,6] => [4,5,1,8,2,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,8,6,7,3,4,1] => [1,6,4,8,7,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,8,5,7,3,4,1] => [6,4,1,8,7,2,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,3,4,1,5,2,8,6] => [2,5,3,8,4,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,3,5,2,8,6] => [4,1,5,8,6,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,8,6,7,4,5,2] => [6,4,8,1,7,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,8,6,7,3,5,2] => [6,1,4,8,7,5,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,5,7,3,4,1,6,2] => [4,2,8,6,5,7,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,6,2,7,3,4,1] => [6,2,8,4,3,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,1,8,4,7,3,6,2] => [4,1,6,8,7,5,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,1,7,4,6,3,8,5] => [8,4,6,1,5,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,7,4,6,2,8,5] => [8,1,4,6,5,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,1,7,3,6,2,8,4] => [8,4,1,6,5,2,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,7,3,5,1,8,4] => [8,4,6,2,1,5,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,8,4,7,3,5,1] => [4,6,1,8,7,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,6,2,5,1,8,4] => [8,2,4,6,5,3,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,5,1,7,3,8,4] => [8,6,2,4,3,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,2,4,1,7,3,8,6] => [3,8,2,1,6,4,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,4,1,7,3,8,5] => [3,8,2,6,4,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,7,3,6,2,4,1] => [4,2,6,8,7,5,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,5,7,4,6,2,3,1] => [2,6,4,8,7,5,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,4,6,2,3,1,8,5] => [4,2,5,8,6,3,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,3,1,7,4,8,5] => [8,2,3,6,4,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,3,1,7,5,8,6] => [8,2,1,3,6,4,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,3,1,8,5,7,4] => [6,8,2,3,1,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,6,2,3,1,7,4] => [4,5,2,8,6,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,8,5,6,2,3,1] => [6,2,4,1,8,7,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,3,8,5,6,2,4,1] => [6,4,8,2,1,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,6,2,4,1,7,3] => [8,4,2,6,5,3,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,2,4,1,8,6,7,3] => [3,6,1,8,2,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,5,2,8,6,7,3] => [3,1,6,8,7,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,6,3,8,5,7,4] => [6,3,8,1,7,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,6,2,8,5,7,4] => [6,1,3,8,7,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,6,2,8,5,7,3] => [1,6,3,8,7,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,6,2,8,4,7,3] => [6,3,1,8,7,2,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,4,6,2,5,1,7,3] => [2,8,4,6,5,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,7,3,8,4,5,1] => [6,8,4,2,1,3,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,5,1,6,2,7,3] => [2,8,6,4,3,5,7,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,1,8,4,6,2,7,3] => [4,1,8,6,5,7,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,8,5,6,2,7,4] => [4,8,1,6,5,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,5,6,3,7,4] => [4,8,6,1,5,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,7,4,8,5,6,3] => [6,8,4,1,3,7,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,7,4,8,5,6,2] => [6,8,1,4,3,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,8,4,5,1,6,2] => [4,8,2,6,5,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,5,1,7,3,6,2] => [2,6,3,8,7,4,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,6,2,8,4,5,1] => [6,8,2,4,3,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,5,6,1,3,4,2] => [6,8,5,3,1,7,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,1,3,6,2,5,4] => [8,4,6,7,3,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,1,2,5,7,3,8] => [5,1,7,3,4,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,8,2,4,5,6,1,3] => [4,7,3,5,1,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,3,5,6,4,1,2] => [7,3,4,1,8,6,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,1,4,2,3,6,5] => [8,5,3,4,6,1,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,5,1,4,2,6,3] => [8,6,4,5,3,1,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,4,5,3,1,6,2] => [3,8,6,5,4,1,7,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,6,1,4,3,2,7,8] => [6,5,3,1,4,2,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,6,4,8,3,7,1,5] => [3,5,2,7,8,1,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,6,8,3,7,5,2] => [3,8,2,5,7,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,4,8,5,3,1,6,7] => [6,2,5,1,4,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,8,1,4,7,6,3] => [2,8,5,7,1,4,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,2,4,7,3,8,5] => [8,4,6,3,1,2,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,6,2,1,4,7,8,3] => [3,5,1,6,2,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,2,5,3,1,8,7] => [1,5,3,4,2,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,6,2,4,1,8] => [3,5,2,7,6,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,3,6,1,4,8,2] => [3,1,6,8,5,4,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,3,6,7,2,1,8,4] => [5,2,1,3,8,6,4,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,1,7,5,2,4,8,3] => [6,8,5,4,2,1,3,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[4,6,7,8,3,5,1,2] => [2,7,1,5,3,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,1,8,4,2,5,7] => [6,1,5,7,2,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,7,5,8,2,4,3] => [2,8,6,4,3,7,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,6,5,7,8,2,1,4] => [3,2,7,1,6,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,6,1,4,3,8] => [7,5,1,6,2,4,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,5,6,8,4,1,3] => [3,7,4,2,8,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,6,8,4,5,3,7] => [5,3,7,1,6,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,1,8,5,3,4,6] => [6,7,5,8,1,3,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,6,8,5,4,1,2] => [7,3,2,8,1,6,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,8,1,6,3,7,5] => [1,8,6,2,4,5,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,4,2,8,6,1,7,5] => [8,1,2,6,3,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,7,8,1,2,6,5] => [1,8,2,5,6,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,7,3,8,5,2,6,4] => [8,6,3,5,2,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,8,3,6,2,5,7] => [4,1,6,7,5,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,8,6,3,2,1,4] => [7,1,6,5,2,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,5,8,1,3,4,2] => [6,8,5,3,2,1,7,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,6,4,3,8,2,5,7] => [4,3,6,2,7,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,5,4,1,2,7,8] => [5,6,1,4,3,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,4,1,8,3,7,5] => [3,8,6,1,2,7,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,3,6,4,8,5,1,2] => [4,7,2,3,1,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,1,6,5,3,8,4,2] => [8,5,4,3,7,2,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,2,5,6,3,8,1,4] => [5,3,7,2,4,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,2,7,1,8,4,3] => [8,7,3,2,1,5,4,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,6,2,7,3,1,4,8] => [6,3,1,5,2,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,7,4,2,8,1,3] => [1,5,2,7,4,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,6,4,1,8,3,2] => [8,1,7,5,4,3,2,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,1,5,2,8,3,4] => [7,8,5,3,1,4,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,5,2,4,8,3,6] => [5,7,3,8,4,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,5,2,8,3,4,7] => [6,7,3,8,2,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,7,5,3,8,4,1,2] => [4,1,7,3,2,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,5,4,2,3,8,7] => [8,5,4,3,1,2,6,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[7,1,5,3,4,2,8,6] => [4,5,3,8,2,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,1,5,3,2,8,4] => [5,8,6,3,4,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,4,1,2,8,3] => [8,5,2,6,4,3,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,5,4,3,1,8,2] => [1,8,6,5,4,3,2,7] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,5,2,4,3,1,6,8] => [6,3,5,4,2,7,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,6,1,2,5,3,8] => [7,4,2,5,6,3,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,4,2,5,3,6,8] => [6,4,2,3,5,7,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,8,1,4,2,5,7,3] => [6,4,8,3,1,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,4,2,5,7,3,8] => [5,3,7,4,1,2,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,3,7,5,4,2,8] => [7,6,3,2,5,1,4,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,8,1,3,7,5,4,2] => [8,7,4,1,6,3,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,1,3,5,6,4,2,8] => [4,7,3,6,2,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,2,6,5,1,3,8] => [6,2,7,3,5,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,3,5,4,1,6,8] => [6,2,3,5,4,7,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,8,1,2,3,4,7,5] => [8,3,4,5,1,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,7,2,3,8,6,4] => [2,8,7,4,5,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,8,2,3,6,7,4] => [6,8,4,1,5,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,2,3,7,6,4,1] => [1,8,7,3,4,6,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,2,8,1,3,7,4,5] => [7,8,2,4,1,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,2,3,5,4,7,1] => [6,3,4,1,5,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,2,4,1,5,7,3] => [6,3,4,1,8,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,3,1,2,4,7,5] => [8,4,3,5,1,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,4,1,5,7,3,8] => [5,3,7,1,4,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,1,7,8,3,6,4] => [2,8,6,1,4,7,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,3,6,8,4,7,1] => [4,2,6,8,1,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,4,7,8,5,6,3] => [6,4,8,1,3,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,7,6,8,5,1,3] => [7,4,2,3,8,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,5,3,7,6,1,8,4] => [2,8,6,1,3,5,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,7,4,1,6,2,8] => [2,7,1,5,4,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,1,8,6,7,2] => [2,3,1,6,8,7,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,2,8,4,6,1,7,3] => [4,1,8,6,2,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,1,8,6,3,7,4] => [8,6,2,1,5,7,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,2,8,6,5,3,7,1] => [6,1,5,4,8,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,5,7,6,3,1] => [8,1,4,7,6,2,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,1,8,6,7,5,3,2] => [4,8,1,7,6,5,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,8,7,4,3,6,1,2] => [7,1,5,4,8,6,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,4,8,3,1,7,2,5] => [2,7,4,1,8,5,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,2,8,7,1,3,5] => [6,2,7,1,8,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,8,7,2,5,1,4] => [5,7,1,8,2,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,7,1,6,4,2] => [1,8,3,7,5,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,1,3,8,6,7,2,4] => [7,5,1,8,3,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,3,7,8,6,2,4] => [2,7,4,8,3,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,6,4,2,8,3] => [8,2,6,5,4,1,3,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,8,1,2,7,3,5] => [7,2,8,4,1,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,5,1,2,3,7,4] => [8,4,5,1,6,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,5,2,4,3,7,1] => [6,4,1,5,3,8,7,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,5,3,1,2,7,4] => [8,5,4,1,6,3,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,5,1,2,7,6,3,8] => [1,7,6,3,2,4,5,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,1,2,6,8,7,3] => [1,8,5,2,7,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,6,1,8,4,7,2] => [2,6,1,3,8,7,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,7,1,2,8,6,4] => [2,8,1,7,4,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,7,5,1,4,8] => [6,7,1,3,2,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,1,7,3,5,8] => [6,1,7,2,4,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,3,1,7,6,2,8] => [1,3,2,7,6,4,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,5,7,1,6,3,8] => [3,1,7,2,5,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,2,7,8,1,6,4] => [2,8,1,6,3,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,6,5,8,7,1,2] => [4,1,2,3,7,8,6,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,4,6,8,5,2,7,1] => [3,6,1,2,5,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,6,2,8,4,7,1] => [2,6,1,3,8,4,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,5,6,1,8,7,3] => [3,1,4,8,2,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,5,3,1,6,8,7,2] => [1,3,2,8,5,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,7,5,8,6,4,3] => [8,4,3,7,1,6,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,2,7,5,3,8,6,4] => [4,8,7,5,1,2,3,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,1,2,7,3,8,6,5] => [1,8,7,5,2,3,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,4,1,7,5,2,3,8] => [6,2,7,5,3,1,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,3,7,2,4,8,6,5] => [8,7,2,4,5,1,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,1,7,8,6,5,3] => [4,8,2,7,1,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,7,5,1,8,6,2] => [4,8,1,2,7,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,4,1,5,8,6,3] => [3,8,5,7,1,4,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,8,1,3,7,4,6] => [7,8,2,1,4,5,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,1,6,8,3,4,7,5] => [8,5,1,3,6,7,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,6,8,3,1,5,7,4] => [4,6,2,8,1,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,4,1,5,7,3] => [6,4,8,5,1,3,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,3,7,5,8,1,4] => [7,5,3,1,2,4,8,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,2,1,7,8,3,4,6] => [6,7,2,1,4,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,7,2,3,6,8,1,5] => [1,7,3,4,5,2,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,7,3,6,8,1,4] => [7,4,1,5,2,3,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,7,4,6,2,8,1,3] => [1,5,3,7,4,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,3,4,6,1,8,2] => [3,1,4,8,6,5,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,3,8,4,6,1,7,2] => [4,1,8,2,6,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,3,5,1,6,7,4] => [6,2,3,4,8,5,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,1,3,6,2,5,7] => [4,6,2,7,3,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,3,1,7,2,5,6] => [1,6,3,7,8,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,4,7,1,6,3] => [4,1,8,6,7,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,8,3,1,7,5,2] => [4,1,2,8,7,5,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,8,2,7,1,5,4] => [8,2,4,1,6,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,3,1,8,2,4,7,5] => [2,8,5,6,1,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,8,1,2,6,4,7] => [2,7,4,1,5,6,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,5,4,1,2,6,3,7] => [7,4,5,3,2,6,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,8,4,2,7,3,6] => [7,4,1,8,5,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,2,8,5,3,7,4] => [8,6,5,2,7,1,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,8,5,3,1,7,4,2] => [4,1,8,7,5,3,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,3,7,1,2,4,8] => [5,3,1,6,2,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,3,7,2,8,4,5] => [7,8,3,2,5,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,2,7,8,5,1,4] => [7,2,4,1,8,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,7,8,3,1,6,2] => [8,1,2,6,5,3,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,8,2,4,6,7,1,5] => [7,1,3,4,5,8,6,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,5,6,8,2,7,1,4] => [2,5,1,3,7,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,6,2,3,7,8,1,4] => [7,3,1,4,2,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,7,3,4,1,2,6] => [1,6,4,7,5,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,7,3,4,1,2,5] => [6,4,1,7,5,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,4,7,1,5,3,2] => [3,1,8,7,5,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,7,2,5,3,1] => [3,1,8,5,7,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,4,8,7,2,6,3,1] => [1,8,2,5,7,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,8,7,1,6,3,2] => [1,8,2,7,5,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,8,7,6,1,2,4] => [6,1,7,8,2,5,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,8,7,2,6,3,1] => [8,1,2,5,7,6,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,5,8,2,7,6,4,1] => [8,2,7,1,4,6,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,8,1,7,6,4,2] => [8,2,7,1,6,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,8,1,7,6,4,3] => [8,2,7,6,1,4,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,4,8,7,1,6,3,5] => [7,8,2,5,6,1,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,4,6,1,5,3,7] => [3,7,2,5,6,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,4,7,2,5,3,6] => [3,7,5,6,8,4,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,8,7,2,6,3,5] => [7,8,2,5,6,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,8,2,7,6,4,3] => [8,2,7,6,4,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,8,3,7,6,4,1] => [8,2,7,4,6,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,2,8,7,6,5,3] => [8,7,2,6,5,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,3,8,2,7,6,4,5] => [7,8,6,2,4,5,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,3,2,7,5,4,6] => [7,3,6,8,4,5,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,3,2,6,5,4,7] => [7,3,6,2,4,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,3,1,6,5,4,7] => [7,2,3,6,4,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,3,1,7,5,4,6] => [7,3,6,8,1,4,5,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,8,1,7,6,4,5] => [7,8,6,1,2,4,5,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,4,1,8,7,6,5,2] => [8,7,1,2,6,5,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,3,1,8,7,6,5,2] => [8,1,7,2,6,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,2,1,7,5,4,6] => [7,1,3,6,8,4,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,2,1,6,5,4,7] => [2,7,3,6,4,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,2,6,1,5,3,7] => [7,3,2,5,6,4,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,8,7,1,6,3,4] => [7,1,8,5,6,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,8,1,7,6,4,3] => [1,8,7,6,2,4,5,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,3,8,1,7,6,4,2] => [1,8,7,2,6,4,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,3,2,7,5,4,1] => [8,3,1,7,4,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,3,1,7,5,4,2] => [8,3,1,7,6,4,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,8,2,1,7,5,4,3] => [8,7,3,1,6,4,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,2,7,1,5,3,4] => [7,8,3,1,5,6,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,7,2,1,4,3,5] => [4,7,5,1,6,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,6,1,2,4,3,7] => [7,4,5,2,6,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,7,1,2,4,3,6] => [7,4,1,5,6,8,3,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,8,1,2,7,5,4,3] => [8,7,6,3,1,4,5,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,8,2,3,7,5,4,1] => [8,7,3,1,4,6,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,2,8,3,7,6,4,1] => [1,8,7,4,6,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,1,8,7,2,6,3,4] => [7,1,8,5,6,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,1,7,2,5,3,6] => [1,7,5,6,8,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,1,6,2,5,3,7] => [7,5,2,6,3,4,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,3,1,2,6,5,4,7] => [2,7,6,3,4,5,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,1,2,7,5,4,6] => [7,1,6,8,3,4,5,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,8,2,7,6,4,5] => [7,8,1,6,4,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,2,8,7,6,5,4] => [8,7,1,6,5,2,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,3,8,7,6,5,2] => [8,1,7,6,3,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,4,8,7,6,5,2] => [8,7,1,6,3,5,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,8,3,7,6,4,5] => [7,8,6,1,4,5,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,1,3,7,5,4,6] => [7,6,8,1,3,4,5,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,1,3,6,5,4,7] => [7,2,6,3,4,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,2,3,6,5,4,7] => [7,6,2,3,4,5,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,8,2,3,7,5,4,6] => [7,6,8,3,4,5,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,8,3,7,6,4,5] => [7,8,6,4,5,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,3,6,8,2,5,7] => [2,6,3,4,7,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,5,1,8,2,4,7,6] => [8,1,5,2,6,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,2,6,5,8,3,7] => [2,5,4,7,8,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,4,2,6,8,3,7] => [5,3,2,7,8,1,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,5,8,2,4,7] => [6,1,4,3,7,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,4,2,5,8,3,7] => [5,3,7,2,8,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,6,4,8,3,7] => [5,4,2,7,8,1,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,6,5,4,8,3,7] => [5,4,3,7,8,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,5,4,7,3,8,6] => [3,8,4,6,1,2,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,6,3,8,7,5] => [4,1,8,7,2,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,1,5,4,2,8,3,6] => [7,4,3,8,2,5,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,7,5,2,8,3,6] => [7,2,4,8,5,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,1,3,5,2,8,4,6] => [7,3,4,8,2,5,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,5,1,8,3,4,6] => [6,7,2,3,8,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,2,8,3,7,6,5] => [8,2,7,5,6,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,5,3,8,7,6,4] => [8,3,7,6,1,2,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,8,6,5,3,7,4] => [8,6,5,4,7,1,2,3] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,5,2,8,6,3,7,4] => [2,8,6,5,7,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,4,2,8,7,3,5] => [3,7,2,8,6,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,6,4,2,8,3,5] => [7,4,8,5,3,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,5,2,6,3,8,4] => [8,6,4,3,5,1,2,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,6,2,7,5,3,8,4] => [8,6,5,3,1,2,4,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,2,7,6,5,3,8,4] => [8,6,5,4,1,2,3,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,2,6,5,3,8,7,4] => [4,3,8,7,1,2,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,6,3,8,7,4] => [4,2,8,7,1,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,7,6,3,8,4] => [2,8,6,5,1,3,4,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,5,2,7,3,8,4] => [8,6,4,3,1,2,5,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,5,7,4,2,8,3,6] => [2,7,4,8,5,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,2,8,6,3,7,5] => [1,8,6,5,7,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,8,6,2,4,7,5] => [8,1,5,6,4,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,7,1,8,2,5,6] => [2,1,6,7,8,4,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,3,1,6,2,4,7,5] => [2,8,5,6,3,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,8,3,2,4,6,5] => [4,8,5,6,7,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,7,3,2,4,6,5] => [4,8,5,6,7,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,2,8,7,3,6,5] => [8,2,6,7,5,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,5,4,2,7,3,6] => [7,4,3,8,2,5,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,4,8,5,2,7,3,6] => [7,2,4,8,5,6,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,5,3,1,7,2,4,6] => [6,3,7,2,8,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,5,2,6,3,7,4] => [8,6,4,3,5,7,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,2,7,3,8,6,4] => [2,8,7,5,1,3,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,8,5,3,7,6,4] => [4,8,7,5,6,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,6,3,8,7,5,4] => [3,8,7,6,1,2,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,7,6,3,8,5,4] => [8,7,5,4,1,2,3,6] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,6,2,7,3,8,5,4] => [8,7,5,3,1,2,4,6] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,7,2,8,5,3,6,4] => [8,6,5,7,3,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,4,2,8,7,6,3,5] => [7,8,2,6,5,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,8,7,5,3,6,4] => [8,6,5,7,4,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,8,6,3,7,5,4] => [8,7,5,4,6,1,2,3] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,2,7,3,8,6,5,4] => [8,7,6,4,1,2,3,5] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,1,8,7,6,2,4,3] => [1,8,6,7,5,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,1,6,2,4,3,8] => [7,5,1,6,3,4,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,1,5,2,7,3,8] => [7,5,3,2,4,1,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,4,5,3,7,8,2] => [3,5,4,6,1,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,8,6,2,4,3] => [1,8,6,3,7,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,4,5,3,6,8,2] => [3,5,4,6,8,2,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,1,4,5,3,6,7,2] => [3,5,4,6,8,2,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,1,5,2,6,3,8] => [7,5,3,2,4,6,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,5,7,2,1,4,8] => [6,2,5,3,1,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,5,8,2,1,7,4] => [5,2,3,1,8,6,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,7,2,1,8,4] => [5,2,3,1,8,6,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,5,8,3,7,2,1] => [2,3,1,5,8,7,6,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,1,6,2,4,3,7] => [7,5,1,6,3,4,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,4,1,5,2,6,3,7] => [7,5,3,2,4,6,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,3,5,8,2,1,4,7] => [6,2,5,3,1,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,3,4,1,8,6,5,7] => [7,1,2,3,6,8,4,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,3,5,6,2,1,4,7] => [6,2,5,3,7,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,8,5,1,4,7,6] => [8,5,1,2,4,6,7,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,8,6,1,5,7,4] => [6,8,5,1,2,4,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,6,7,1,3,5,4] => [8,5,6,3,7,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,5,7,2,1,6,4] => [5,2,3,8,6,7,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,3,8,5,6,1,7,4] => [4,8,6,1,2,5,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,3,5,6,2,8,1,4] => [5,2,3,7,4,1,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,5,8,2,1,6,4] => [5,2,3,8,6,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,5,6,2,1,4,8] => [6,2,5,3,7,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,6,8,1,3,5,4] => [8,5,6,3,1,2,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,6,5,8,3,1,4] => [7,6,4,3,1,2,8,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,7,5,6,1,4,2,3] => [7,8,5,3,6,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,6,4,1,8,5,7,3] => [3,6,2,8,1,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,1,3,8,5,7,4] => [6,8,7,1,3,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,7,1,3,6,5,8,4] => [6,5,8,1,3,4,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,6,8,4,3,1,5] => [7,6,5,3,1,2,8,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,7,6,1,4,3,5,8] => [6,4,5,7,1,3,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,1,6,3,4,2,5] => [5,7,6,8,3,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,1,8,3,2,7,5] => [5,2,8,6,1,7,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,8,6,4,1,7,5] => [5,8,6,1,2,4,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,6,7,4,3,1,5] => [7,6,5,3,8,1,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,5,7,2,4,1,6] => [5,2,3,7,6,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,3,4,1,8,7,5,6] => [7,8,1,2,3,6,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,8,1,6,4,7,5] => [8,6,1,2,4,5,7,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,8,1,4,5,7,6] => [8,1,2,4,5,6,7,3] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,8,6,1,4,3,5,7] => [6,4,5,7,1,3,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,3,6,5,1,7,2] => [2,8,3,6,5,4,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,6,3,4,1,7,2] => [4,2,8,6,5,3,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,5,4,3,1,7,2] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[1,7,6,5,4,2,3,8] => [6,7,5,4,3,1,2,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,8,6,5,2,7,3,4] => [7,8,5,4,3,6,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,5,4,1,6,3,2] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,8,5,4,1,3,6,2] => [6,8,5,4,3,1,7,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,8,5,4,2,1,7,3] => [5,1,8,6,4,3,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,8,6,2,4,1,7,3] => [1,8,4,6,5,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,8,2,6,5,1,7,3] => [8,1,6,3,5,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,6,5,1,7,4] => [8,6,1,5,2,4,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,1,3,7,6,2,5,8] => [6,1,7,3,5,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,7,3,6,2,4,8] => [4,6,1,7,5,2,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,7,5,3,2,4,8] => [6,5,7,4,2,1,3,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,1,6,5,2,4,3,8] => [7,5,6,4,2,3,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,6,5,2,3,7,4] => [8,5,6,4,2,3,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,7,2,6,3,5,4] => [8,6,7,4,5,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,2,6,4,3,5] => [7,6,8,4,5,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,8,3,2,7,4,6] => [4,7,1,8,5,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,3,8,2,7,5,6] => [7,1,8,3,5,6,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,8,7,1,6,5,4] => [8,7,1,5,6,2,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,2,7,1,6,5,3] => [8,1,7,3,5,6,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,7,2,1,6,4,3] => [1,8,4,7,5,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,7,1,3,5,4,2] => [8,5,1,7,4,6,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,6,1,5,3,4,2] => [6,8,7,4,1,5,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,6,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[1,8,7,2,6,5,3,4] => [7,8,6,4,5,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,8,2,5,6,3,4] => [7,5,8,4,2,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,7,1,4,5,3,2] => [5,8,7,4,2,6,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,8,1,4,3,5,2] => [6,5,8,4,2,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,8,3,2,1,7,4] => [5,4,2,1,8,6,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,5,8,3,1,4,6,2] => [6,4,2,8,5,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,7,3,1,6,4,2] => [4,2,8,7,5,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,8,4,2,7,3,5] => [7,4,2,8,5,6,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,4,8,2,7,3,6] => [3,2,7,8,5,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,3,7,1,6,5,2] => [2,8,3,7,5,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,3,8,1,5,6,2] => [3,2,6,8,5,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,3,1,5,2,7,8] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,4,3,1,2,6,5,8] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,4,3,1,2,5,7,6] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,5,4,2,3,6,7,8] => [4,5,3,1,2,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[8,5,1,4,2,3,7,6] => [8,5,3,4,2,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,1,4,2,6,3,8] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,1,4,3,2,7,8] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,1,3,4,2,7,8] => [4,6,3,1,5,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,2,1,5,3,7,8] => [3,1,6,4,5,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,6,1,5,4,7,8] => [1,6,2,4,5,3,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,7,1,4,6,5,8] => [1,7,2,4,5,6,3,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,7,2,1,3,6,5,8] => [3,1,7,4,5,6,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,7,1,3,2,6,4,8] => [4,7,3,1,5,6,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,7,1,2,4,5,3,8] => [5,7,3,4,1,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,1,2,5,4,3,8] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,6,1,2,5,3,7,4] => [8,6,3,4,5,2,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,2,3,6,4,5,8] => [6,7,3,4,5,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,7,1,2,3,6,5,4] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,8,1,2,3,5,6,4] => [6,8,3,4,5,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,1,2,4,3,7,5] => [5,8,3,4,1,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,1,3,2,4,7,6] => [4,8,3,1,5,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,8,2,1,3,5,7,6] => [3,1,8,4,5,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,8,1,4,5,7,6] => [1,8,2,4,5,6,7,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,1,3,2,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[5,1,2,4,3,6,7,8] => [5,2,3,4,1,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,2,3,5,4,7,8] => [6,2,3,4,5,1,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[7,1,2,3,4,6,5,8] => [7,2,3,4,5,6,1,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,1,2,3,4,5,7,6] => [8,2,3,4,5,6,7,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[6,7,3,8,5,1,2,4] => [3,6,1,7,2,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,4,5,1,8,3,2] => [3,1,8,7,5,4,2,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,4,7,6,8,1,2,3] => [2,1,6,7,4,3,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,7,8,6,1,2,4] => [6,1,7,2,3,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,5,7,1,2,6] => [3,6,1,4,7,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,8,6,7,1,2,5] => [6,7,1,2,4,8,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,6,2,7,4,8,1] => [2,6,1,4,3,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,1,7,8,4,2] => [2,5,1,3,8,7,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,5,6,8,1,7,3,4] => [2,7,3,8,1,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,4,5,1,6,3,7] => [3,7,2,5,4,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,4,8,6,2,3,7,5] => [8,2,5,6,4,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,6,8,2,3,7,4] => [2,8,5,3,6,7,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,6,2,8,4,7,3] => [2,6,3,8,7,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,3,4,7,8,1] => [4,2,5,1,3,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,3,2,5,4,6,7] => [3,6,2,4,5,7,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,3,1,7,6,8,5,2] => [1,5,2,4,8,7,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,2,7,8,1,6,3,4] => [7,1,8,5,2,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,3,1,5,8,4,2] => [3,5,1,8,7,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,2,1,8,5,4,3] => [8,7,3,1,6,4,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,2,8,1,5,3,4] => [7,8,3,1,5,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,2,1,4,3,5] => [4,7,5,1,6,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,1,2,8,4,5,3] => [6,8,7,3,1,4,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,1,3,4,8,5,2] => [8,4,5,1,7,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,7,3,4,6,8,1] => [4,5,1,6,2,3,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,7,3,4,8,6,2] => [8,4,1,5,3,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,7,8,2,3,6,4] => [8,5,1,6,3,7,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,8,7,2,3,6,5] => [1,8,5,6,7,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,3,7,5,8,6,2] => [1,8,5,3,4,7,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,8,3,4,7,6,5] => [8,7,1,4,5,6,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,2,1,3,4,6,5,7] => [2,7,3,4,5,6,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,8,2,3,4,5,7,6] => [8,3,4,5,6,7,1,2] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,2,8,3,4,6,7,5] => [6,8,4,5,7,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,1,6,5,8,7,3] => [4,1,8,2,5,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,1,4,8,7,3] => [8,5,2,1,3,7,4,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,6,4,1,8,7,3] => [4,3,1,8,2,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,7,4,8,1,6,3] => [4,1,8,6,2,3,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,7,4,8,6,1,3] => [4,1,7,3,8,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,3,8,6,1,4] => [7,1,8,3,4,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,3,8,1,6,4] => [8,3,1,4,6,2,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,6,2,3,1,8,7,4] => [8,3,1,4,2,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,2,1,3,8,7,4] => [8,3,1,7,4,2,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,6,4,2,8,7,3] => [4,3,1,8,7,2,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,1,3,2,8,7,4] => [8,4,1,7,3,2,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,3,1,2,8,7,4] => [3,1,8,7,4,2,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,3,2,1,8,7,4] => [3,1,8,4,2,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,3,2,8,1,6,4] => [3,1,8,4,6,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,3,2,8,6,1,4] => [3,1,7,8,4,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,3,8,1,2,5,4] => [3,8,5,1,6,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,3,1,8,2,6,4] => [3,1,8,6,7,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,3,8,2,6,4] => [8,4,1,6,7,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,1,7,4,8,2,6,3] => [4,1,8,6,3,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,5,7,4,8,6,3,2] => [8,2,4,3,7,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,7,4,8,6,2,3] => [4,1,7,3,8,6,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,3,8,6,2,4] => [7,1,8,4,6,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,1,8,6,2,4] => [3,1,7,8,6,4,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,3,8,1,5,2,4] => [3,7,1,8,5,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,3,8,5,2,1,4] => [7,3,1,6,2,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,8,3,1,4,2,5] => [7,5,4,1,6,2,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,1,8,3,5,2,4] => [5,7,1,8,6,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,7,8,4,5,2,3] => [7,5,3,1,8,6,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,7,8,4,5,3,2] => [2,5,3,8,7,6,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,7,8,4,3,5,2] => [2,6,5,3,8,7,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,7,8,4,2,5,3] => [8,6,5,3,1,7,2,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,7,1,8,3,2,5,4] => [5,8,6,1,7,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,2,1,8,3,6,4] => [8,3,1,6,7,4,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,2,8,3,1,5,4] => [5,8,3,1,6,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,2,8,3,5,1,4] => [5,7,1,8,3,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,7,8,4,5,1,3] => [7,5,3,1,8,2,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,7,8,1,4,5,3] => [6,8,5,2,1,3,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,1,7,8,5,6,3] => [1,6,4,8,2,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,7,8,1,5,4,3] => [8,7,5,2,1,3,6,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,2,7,8,5,1,4,3] => [8,6,3,1,7,2,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,7,8,5,4,1,3] => [7,3,1,8,6,2,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,2,8,5,3,1,4] => [7,6,1,8,3,2,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,7,2,1,8,6,3,4] => [7,1,8,3,6,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,2,8,6,3,4] => [7,1,8,6,3,4,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,7,2,8,6,4,3] => [1,8,7,6,4,2,3,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,1,7,8,2,5,4,3] => [8,7,5,3,1,6,2,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,7,1,8,2,5,3,4] => [7,8,5,1,6,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,8,2,4,1,3,5] => [4,6,1,7,5,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,2,4,3,1,5] => [7,4,1,6,5,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,1,8,5,2,3,4] => [6,7,1,8,5,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,7,8,5,2,4,3] => [8,6,3,1,7,5,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,7,8,5,3,4,2] => [2,6,3,8,7,5,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,7,8,5,4,2,3] => [7,3,1,8,6,5,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,1,8,5,3,2,4] => [7,6,1,8,5,3,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,8,4,1,3,2,5] => [7,5,1,6,4,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,8,5,2,7,4,1] => [8,5,2,1,4,7,6,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,2,8,4,7,3,1] => [5,2,1,8,7,3,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,4,5,8,7,2,1] => [8,2,3,1,4,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,7,5,2,1,6] => [7,3,6,1,5,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,1,4,7,2,3,6] => [6,4,1,7,8,3,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,6,1,4,8,7,3,2] => [1,8,4,2,7,6,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,4,8,5,7,1,2] => [7,3,1,2,5,8,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,1,4,8,6,3,7,2] => [6,3,1,5,8,7,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,4,7,1,8,6,5,2] => [8,7,1,2,6,4,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,3,8,4,2,7,1,5] => [5,2,4,1,7,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,8,7,1,4,2,5] => [7,5,1,2,6,8,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,3,7,1,6,8,2,4] => [7,2,1,5,8,4,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,8,1,7,6,2,4,3] => [1,8,6,7,5,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,7,5,2,8,1,4] => [5,7,2,1,4,3,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,7,4,8,1,3] => [7,5,3,2,1,4,8,6] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,7,1,4,8,3,2,6] => [4,1,7,6,8,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,1,4,6,7,2,3] => [4,1,7,5,8,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,4,3,7,2,1] => [2,1,5,4,8,7,6,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,3,7,4,2,8,5,1] => [4,8,2,1,5,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,1,6,2,4,5,3] => [6,8,5,7,3,4,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,7,1,4,5,2] => [6,8,5,1,3,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,8,7,4,1,2,6] => [6,1,7,2,5,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,1,8,7,3,2,4] => [1,7,6,2,8,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,2,7,3,6,8,1] => [5,2,1,6,3,4,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,3,6,4,2,8,1] => [6,3,2,5,4,1,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,1,5,3,8,2,7] => [5,4,2,7,1,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,2,6,4,7,3,1] => [5,4,2,8,3,7,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,2,6,3,4,7,5,1] => [8,4,5,2,3,7,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,6,3,5,4,8,1] => [6,4,5,2,3,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,4,3,5,8,1] => [5,4,6,2,1,3,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,7,6,4,5,2,8,1] => [4,6,5,1,3,2,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,6,5,3,4,8,1] => [5,6,4,3,1,2,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,4,3,1,8,2,7] => [7,4,3,2,1,8,5,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[8,6,5,4,2,7,3,1] => [8,5,4,3,2,7,6,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,4,1,7,2,6,3] => [8,6,3,2,7,4,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,5,4,1,8,3,2,6] => [7,6,3,2,8,4,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,5,2,8,3,4,7] => [6,7,3,2,8,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,4,2,1,8,3,6] => [4,1,7,3,8,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,5,3,4,8,2,7] => [4,5,3,2,7,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,6,3,1,8,2,7] => [2,1,7,4,3,8,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,8,4,2,7,3,1] => [2,1,8,5,4,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,2,6,4,7,3,1] => [1,5,4,8,3,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,2,5,7,4,1] => [5,8,4,1,3,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,5,3,2,6,4,1] => [4,8,5,3,1,7,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,3,1,7,2,5,4] => [3,8,6,1,7,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,6,3,7,5,2,4] => [7,8,4,3,6,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,5,2,6,4,3,1] => [8,7,4,3,6,5,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,7,1,6,2,5,4,3] => [8,7,5,6,3,4,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,1,6,3,2,5,4] => [5,8,6,7,3,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,8,1,7,3,5,6,4] => [6,8,5,7,1,3,4,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,6,1,7,4,5,2] => [6,8,7,1,4,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,1,3,7,2,6,5] => [1,8,4,6,7,3,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,7,6,8,3,2,4] => [1,7,6,4,3,8,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,1,5,8,4,2,6] => [4,7,1,6,8,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,7,3,1,8,4,2,5] => [3,7,6,1,8,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,3,8,4,5,2,6] => [5,7,3,6,2,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,2,8,5,3,4,6] => [6,7,5,8,3,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,6,1,8,4,3,2,5] => [7,6,5,8,3,2,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,6,1,7,4,2,5,3] => [8,6,5,7,3,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,1,2,7,3,4,6,5] => [8,5,6,7,2,3,4,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,1,2,8,3,5,4,6] => [7,5,6,8,2,3,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,6,1,7,3,5,4] => [8,6,7,2,4,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,1,5,8,3,6,7] => [2,4,1,6,7,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,4,2,7,1,8,3,6] => [7,2,1,8,3,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,3,1,6,8,2,7] => [5,3,2,1,7,8,4,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,7,5,6,8,3,2,1] => [3,4,1,2,8,7,6,5] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,5,4,8,2,7,3,1] => [3,2,1,8,5,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,2,8,7,3,4,1] => [6,2,1,8,7,3,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,7,5,3,2,1] => [8,3,2,7,6,5,4,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[5,1,8,3,7,6,2,4] => [7,1,8,4,6,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,8,1,7,2,6,3] => [2,1,8,6,7,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,8,3,2,6,4,1] => [4,2,8,5,1,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,6,8,2,4,7,5,1] => [8,4,1,2,5,7,6,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,7,3,8,2,6,4,1] => [1,8,3,5,2,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,6,8,2,7,3,1] => [2,1,3,8,5,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,6,8,7,3,4,1] => [3,1,6,8,7,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,2,8,6,3,5,1] => [6,8,1,7,3,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,8,1,7,2,5,4] => [8,6,1,2,7,4,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,8,6,4,3,5,1] => [6,5,8,7,2,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,1,8,7,5,6,3,4] => [7,5,8,6,1,4,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,7,6,3,5,4,1] => [8,5,7,6,2,4,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,1,7,6,5,2,4,3] => [8,6,7,5,4,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,8,6,5,3,2,4] => [7,6,8,5,4,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,1,6,8,7,4,2,3] => [3,1,7,8,6,5,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,4,7,5,3,2,1] => [1,8,3,7,6,5,4,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,8,7,2,5,4,3,1] => [1,8,7,4,6,5,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,8,7,6,4,5,2,1] => [5,8,7,6,1,4,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,8,7,6,5,3,4,1] => [6,8,7,5,4,1,3,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,8,7,6,5,4,2,3] => [7,8,6,5,4,3,1,2] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[5,8,6,7,3,4,1,2] => [7,1,5,3,8,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,8,6,7,3,5,1,2] => [7,5,1,3,8,6,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,8,6,7,4,5,1,2] => [7,5,3,8,1,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,6,7,4,5,1,3] => [7,5,3,8,6,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,8,6,7,4,5,2,3] => [7,5,3,8,6,4,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,8,5,7,4,6,2,3] => [3,7,5,8,6,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,8,5,7,4,6,1,2] => [3,7,5,8,1,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,5,7,3,6,1,2] => [3,7,1,5,8,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,8,3,6,4,5,1,2] => [7,3,5,1,8,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,3,7,4,5,1,2] => [7,3,1,5,8,6,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,8,3,7,4,6,1,2] => [1,7,3,5,8,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,7,4,8,5,6,1,2] => [7,3,5,1,2,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,3,8,5,6,1,2] => [7,1,3,5,2,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,2,8,5,6,1,3] => [7,1,5,8,3,2,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,1,8,5,6,2,3] => [7,1,5,8,6,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,7,1,8,5,6,2,4] => [7,5,8,1,6,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,2,8,5,6,1,4] => [7,5,8,1,3,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,3,8,5,6,1,4] => [7,5,8,3,1,2,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,4,8,5,6,1,3] => [7,3,5,2,8,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,7,4,6,1,3] => [1,7,5,8,3,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,2,7,4,5,1,3] => [7,5,1,8,3,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,2,6,4,5,1,3] => [7,5,8,3,1,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,1,6,4,5,2,3] => [7,5,8,6,3,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,8,1,7,4,5,2,3] => [7,5,1,8,6,3,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,8,1,7,4,6,2,3] => [1,7,5,8,6,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,7,4,8,5,6,2,3] => [7,3,5,2,8,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,3,8,5,6,2,4] => [7,5,8,3,2,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,5,6,1,7,3,4] => [7,3,8,5,1,4,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,5,6,2,7,3,4] => [7,3,8,5,4,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,1,7,3,6,2,4] => [5,1,7,8,6,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,1,7,3,5,2,4] => [5,7,1,8,6,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,2,7,3,5,1,4] => [5,7,1,8,3,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,2,7,3,6,1,4] => [5,1,7,8,3,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,5,7,2,6,1,3] => [5,1,3,7,8,6,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,5,7,2,6,1,4] => [5,3,7,8,1,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,5,7,3,6,1,4] => [5,3,7,8,6,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,5,7,3,6,2,4] => [5,3,7,8,6,4,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,6,7,3,5,2,4] => [5,7,3,8,6,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,8,6,7,3,5,1,4] => [5,7,3,8,6,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,6,7,2,5,1,4] => [5,7,3,8,1,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,7,2,5,1,3] => [5,7,1,3,8,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,5,7,1,4,2,3] => [7,1,8,5,3,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,6,7,1,5,2,3] => [7,8,1,5,3,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,7,1,5,2,4] => [7,8,5,1,3,6,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,5,2,8,6,7,3,4] => [2,7,5,8,6,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,1,8,6,7,3,4] => [2,7,5,8,1,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,1,8,5,7,3,4] => [7,5,2,8,1,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,2,8,5,7,3,4] => [7,5,2,8,6,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,8,5,7,1,6,2,4] => [7,3,8,1,5,6,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,4,7,1,5,2,3] => [7,3,1,8,5,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,6,1,5,2,3] => [7,3,8,5,1,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,3,7,1,5,2,4] => [3,7,1,8,5,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,6,2,8,4,7,3,5] => [5,7,2,8,6,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,1,8,4,7,3,5] => [5,7,2,8,1,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,2,6,1,8,4,5] => [7,8,1,3,5,4,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,8,1,6,2,7,3,4] => [7,1,8,5,3,4,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,8,1,5,2,6,3,4] => [7,8,5,3,4,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,2,5,1,6,3,4] => [7,8,3,5,4,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,2,5,1,7,3,4] => [7,8,3,1,5,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,2,6,1,7,3,4] => [7,1,8,3,5,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,3,6,2,8,4,5] => [7,8,3,5,4,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,7,3,6,1,8,4,5] => [7,8,3,5,1,4,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,4,8,3,5,1,2] => [3,1,7,5,2,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,4,5,2,8,1,3] => [5,3,1,7,4,2,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,7,4,6,2,3,1,8] => [1,5,3,7,6,4,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,4,5,3,7,1,2] => [3,1,7,5,4,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,6,4,8,3,7,1,2] => [1,3,2,7,5,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,3,7,2,4,1,8] => [3,1,5,2,7,6,4,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,3,7,2,8,1,4] => [3,1,5,2,7,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,8,2,7,1,4] => [3,1,5,2,7,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,4,8,2,7,1,3] => [1,5,3,2,7,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,4,6,2,7,1,3] => [1,5,3,7,4,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,4,5,2,7,1,3] => [5,3,1,7,4,8,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,5,2,6,1,3] => [5,3,7,4,1,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,5,2,3,1,7] => [5,3,1,7,6,4,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,8,4,6,2,3,1,7] => [1,5,3,7,6,4,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,4,8,2,3,1,7] => [1,5,3,2,7,6,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,8,2,4,1,7] => [3,1,5,2,7,6,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,4,2,8,1,7] => [3,1,5,4,2,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,3,5,2,4,1,7] => [3,5,1,7,6,4,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,6,2,7,1,4] => [3,1,5,7,4,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,4,8,2,6,1,3] => [1,5,3,7,2,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,3,6,2,8,1,4] => [3,1,5,7,4,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,3,6,2,4,1,8] => [3,1,5,7,6,4,2,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,3,5,2,4,1,8] => [3,5,1,7,6,4,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,3,5,2,8,1,4] => [3,5,1,7,4,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,4,8,2,5,1,3] => [5,3,1,7,2,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,5,7,2,3,1,4] => [5,1,7,6,3,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,4,8,2,3,1,5] => [5,3,1,7,6,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,3,8,2,4,1,5] => [3,5,1,7,6,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,3,4,2,8,1,5] => [3,5,4,1,7,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,3,4,2,6,1,8] => [3,1,5,4,7,6,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,4,2,8,1,6] => [3,1,5,4,7,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,4,8,2,3,1,6] => [1,5,3,7,6,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,4,7,2,3,1,6] => [1,5,3,7,6,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,4,7,2,3,1,5] => [5,3,1,7,6,8,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,6,2,3,1,5] => [5,3,7,6,1,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,3,7,2,4,1,5] => [3,5,1,7,6,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,7,2,4,1,6] => [3,1,5,7,6,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,3,7,2,6,1,8] => [1,3,2,5,7,6,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,3,7,2,8,1,6] => [1,3,2,5,7,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,3,8,2,7,1,6] => [1,3,2,5,7,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,3,4,2,7,1,6] => [3,1,5,4,7,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,3,4,2,7,1,5] => [3,5,4,1,7,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,3,4,2,6,1,5] => [3,5,4,7,1,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,4,2,6,1,7] => [3,1,5,4,7,6,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,3,8,2,6,1,7] => [1,3,2,5,7,6,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,3,6,2,8,1,7] => [1,3,2,5,4,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,5,2,1,7,6,3] => [8,1,4,3,7,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,4,2,3,1,8,7] => [4,1,5,3,2,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,5,3,1,2,8,7] => [2,8,5,4,3,1,6,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,4,6,1,3,2,8,7] => [5,2,1,8,4,3,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,6,8,1,7,3,2,5] => [7,1,6,2,8,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,8,1,6,3,5,2] => [6,8,1,7,4,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,8,1,6,5,3,2] => [8,2,7,6,4,1,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,4,8,1,3,7,6,2] => [2,1,8,5,7,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,5,3,1,7,6,2] => [2,4,3,8,7,5,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,7,1,3,8,2,6] => [5,2,1,7,8,4,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,8,1,7,5,2,3] => [2,7,1,8,6,4,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,8,7,2,1,3,4] => [1,6,5,2,7,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,7,6,4,2,1,3] => [2,7,6,8,5,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,3,2,8,7,4,1,5] => [7,2,6,1,8,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,6,8,7,4,3,5] => [3,7,6,8,1,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,7,8,6,4,5,3] => [6,3,8,7,1,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,2,8,6,4,5,1] => [6,8,2,7,3,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,8,5,2,4,3,1] => [8,5,2,1,7,6,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[5,8,7,6,3,2,1,4] => [7,1,6,5,8,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,7,5,3,2,4,1] => [1,6,5,8,7,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,8,4,2,3,7,6,1] => [1,8,4,3,5,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,4,2,6,5,3,1] => [3,8,7,4,1,6,5,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,8,7,2,6,3,5,1] => [6,8,1,4,7,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,6,2,7,3,1,5] => [7,1,4,6,3,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,6,1,8,7,4,2,5] => [7,6,1,2,8,5,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,7,1,8,6,4,5,2] => [6,8,7,1,5,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,1,6,7,5,2,4] => [7,4,8,1,6,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,1,6,8,2,5,4] => [8,6,1,4,7,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,4,2,8,1,5,3] => [8,4,3,1,6,2,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,4,2,7,5,1,3] => [7,3,1,8,4,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,8,6,7,5,3,4] => [7,4,8,6,1,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,3,2,6,7,5,1,4] => [7,2,4,8,3,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,4,3,7,5,1,2] => [4,3,7,2,8,6,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,7,5,8,1,3,4,2] => [6,1,8,5,3,2,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,5,8,1,4,3,2] => [8,7,5,3,2,1,6,4] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[8,6,5,7,4,1,3,2] => [8,6,3,2,7,5,4,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,4,3,8,1,5,2] => [4,3,8,6,2,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,3,2,6,8,1,5,4] => [8,2,6,3,4,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,7,6,8,3,5,4] => [8,6,4,1,3,7,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,5,6,8,1,4,2,3] => [7,2,8,5,3,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,8,1,2,4,3] => [8,5,2,1,6,3,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,3,7,4,6,5,2] => [8,5,7,3,6,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,8,7,4,6,1,3] => [1,7,5,8,6,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,6,2,5,4,7,3,8] => [5,4,7,3,1,2,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,2,7,5,4,8,3,1] => [5,4,3,1,8,2,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,3,5,4,7,6,2] => [4,8,3,5,7,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,1,5,4,3,8,7,2] => [4,3,8,5,1,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,4,3,5,6,8,2] => [4,3,5,6,8,2,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,3,2,7,5,1,8,4] => [8,2,6,3,1,5,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,8,2,4,7,3,1] => [5,2,1,8,4,7,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,2,8,4,1,3,7] => [6,7,3,2,1,5,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,2,1,4,8,3,7] => [3,5,1,7,2,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,8,5,2,4,7] => [6,7,1,5,2,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,6,3,5,4,7,8] => [6,4,5,1,2,3,7,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[4,3,1,2,6,8,5,7] => [5,2,1,7,8,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,8,1,6,3,2,4,7] => [6,5,1,7,3,4,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,8,5,2,1,4,7] => [6,2,5,1,7,4,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,1,5,2,4,7,6] => [2,8,5,3,4,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,2,6,1,5,7,4] => [6,8,1,3,5,4,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,5,8,3,1,6,4] => [5,3,8,2,6,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,5,6,3,2,4,8] => [6,5,3,7,4,1,2,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,2,3,8,5,7,4] => [6,8,7,2,3,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,2,3,6,5,8,4] => [6,5,8,2,3,4,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,1,3,8,6,4,5] => [7,8,2,6,3,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,3,2,4,6,8] => [5,4,2,6,7,1,3,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,2,7,3,1,8,4,6] => [4,7,1,8,2,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,2,4,1,3,7,6] => [8,3,1,5,4,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,7,2,6,3,4,1,5] => [5,7,3,6,8,4,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,1,8,6,4,2,7,5] => [5,8,1,6,4,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,6,7,4,3,2,5] => [7,6,5,3,8,2,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,2,1,3,7,8,5,6] => [7,2,1,5,8,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,8,3,1,7,4,6] => [4,2,7,8,1,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,1,3,6,4,7,5] => [8,6,1,3,4,5,7,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,1,8,3,2,4,6,7] => [5,4,6,1,7,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,2,7,8,6,3,5] => [7,2,4,8,6,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,2,4,8,5,3,7] => [7,4,6,2,8,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,4,7,5,3,8] => [7,4,6,3,1,2,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,3,8,5,2,4,6] => [6,7,3,5,2,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,2,8,6,4,5] => [7,8,3,6,4,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,5,7,8,6,1,3] => [1,7,3,4,8,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,3,1,8,5,6,4] => [6,8,2,3,7,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,5,1,7,3,4,6] => [6,7,2,3,8,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,1,8,3,4,7,5] => [8,2,5,6,1,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,8,3,5,1,7,4] => [8,4,6,2,1,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,4,8,5,7,1,3] => [7,3,5,1,8,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,6,4,8,5,7,2] => [6,3,8,2,4,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,6,4,7,5,8,2] => [6,4,2,3,5,8,1,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,2,4,7,5,8,1,3] => [7,3,5,2,1,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,1,3,7,8,4,5] => [7,2,5,8,3,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,2,1,4,3,5,6] => [3,6,4,5,7,1,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,4,2,3,1,8,5] => [4,5,3,8,6,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,4,2,6,8,1,3] => [7,4,3,2,5,1,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,7,5,3,4,6,8,2] => [4,5,3,6,2,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,2,5,4,6,7,1,3] => [4,3,7,2,5,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,2,6,3,1,8,7,4] => [8,4,2,1,3,7,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,2,6,4,3,1,7,5] => [5,4,8,2,6,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,4,1,3,5,6] => [5,6,2,4,7,8,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,2,8,4,3,5,6,7] => [5,4,6,7,8,1,2,3] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,7,4,2,3,5,6,8] => [4,5,3,6,7,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,8,4,1,3,2,5,7] => [6,4,5,3,1,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,3,8,2,4,7,5] => [8,3,5,2,6,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,8,1,2,7,4,6] => [2,7,1,8,4,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,8,3,2,6,4,7] => [4,7,5,1,6,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,3,1,2,6,4,8] => [7,4,3,1,5,6,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,7,5,4,2,6,3,8] => [7,5,4,3,6,1,2,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,5,8,2,4,6,3,7] => [5,2,7,4,6,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,8,4,2,7,3,6] => [2,7,4,8,5,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,2,8,3,7,5] => [8,2,6,3,7,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,6,7,2,4,8] => [2,6,4,1,7,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,6,1,2,8,4,7] => [2,7,1,8,4,3,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,3,2,7,8,4,5] => [7,3,5,2,8,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,4,1,2,5,8,7] => [2,8,4,3,5,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,1,4,2,7,5,8] => [4,2,7,3,5,1,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,3,2,4,5,6,7] => [4,3,5,6,7,8,1,2] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,6,3,2,4,1,7,5] => [4,3,5,8,6,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,3,2,6,7,1,4] => [3,7,4,2,5,8,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,5,2,6,8,1,7,3] => [1,4,2,8,3,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,5,6,7,8,1,3] => [3,1,4,7,2,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,3,6,7,1,8,4] => [4,8,2,1,3,6,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,6,1,4,3,2,5,7] => [6,5,3,4,7,2,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,7,5,1,8,2,4,6] => [6,7,1,3,8,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,5,2,8,7,3,6] => [3,1,7,8,6,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,2,4,6,5,3,7] => [7,4,6,2,3,5,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,2,5,4,6,3,7] => [5,4,7,2,3,6,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,1,6,2,5,4,7] => [2,7,5,6,3,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,2,5,6,4,3,7] => [4,7,6,2,3,5,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,2,6,5,4,3,7] => [7,6,5,2,3,4,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,1,4,8,2,7,3,6] => [3,7,1,8,5,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,8,2,7,3,5] => [7,2,3,8,5,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,7,6,2,8,3,5] => [7,8,2,5,4,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,4,7,2,8,3,6] => [3,7,1,8,5,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,4,5,2,8,3,6] => [3,7,4,8,5,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,7,5,1,2,8,4,6] => [7,8,1,4,3,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,2,8,1,3,4,6] => [3,5,1,6,7,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,7,1,3,4,6] => [5,6,1,7,8,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,5,8,2,7,3,6] => [3,1,7,8,5,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,6,2,8,7,3,5] => [7,2,3,8,6,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,2,8,6,7,3,5] => [7,2,5,8,6,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,7,6,3,4,8,5] => [8,5,6,1,4,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,7,2,6,8,3,5] => [7,2,5,8,4,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,1,4,2,7,8,3,6] => [3,7,5,1,8,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,2,7,6,8,3,5] => [7,2,5,4,8,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,2,7,6,4,8,5] => [8,1,6,5,2,3,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,8,7,2,1,3,5,6] => [1,5,4,6,7,8,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,8,7,3,4,2,5,6] => [4,6,5,7,8,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,7,8,2,6,4,5] => [7,8,1,5,3,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,2,7,8,3,6,5] => [8,2,6,4,7,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,8,1,3,4,7,6] => [8,2,4,1,5,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,1,8,6,3,4,7,5] => [8,5,6,1,4,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,3,7,5,8,6,4] => [8,5,4,7,1,2,3,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,4,2,7,3,8,6,5] => [8,2,7,5,1,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,1,7,2,8,6,4,5] => [7,8,1,6,4,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,1,7,8,3,4,6,5] => [8,5,6,1,3,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,3,8,7,5,6,4] => [6,8,7,5,1,2,3,4] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,7,8,5,6,2,1,3] => [7,6,1,4,2,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,8,4,2,5,1,3] => [5,1,7,4,2,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,8,3,2,1,5,4] => [5,4,1,8,6,2,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,7,8,3,2,1,6,4] => [1,5,4,8,6,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,8,4,3,5,6,1] => [5,4,6,2,8,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,8,4,2,5,1,6] => [5,4,7,1,6,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,8,3,2,1,5,6] => [6,1,5,4,7,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,3,2,1,4,6] => [1,6,5,4,7,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,3,8,2,1,4,5] => [3,6,5,7,2,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,3,7,2,1,4,5] => [3,6,5,7,2,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,3,8,2,1,4,7] => [3,1,6,5,2,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,6,4,8,2,5,1,7] => [3,5,1,2,7,6,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,4,8,3,5,7,1] => [3,5,2,6,8,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,4,7,3,5,8,1] => [3,5,2,6,1,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,4,7,2,5,1,8] => [3,5,1,2,7,6,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,6,3,7,2,1,4,8] => [3,1,6,5,2,7,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,3,2,1,6,5,7] => [4,3,2,7,5,6,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,3,2,1,7,5,8] => [4,3,2,7,5,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,5,3,2,7,1,6,8] => [1,4,3,2,6,7,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,4,2,8,6,1,7] => [3,1,2,7,4,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,4,3,2,1,8,5,6] => [4,3,2,7,8,5,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,3,2,1,7,5,6] => [4,3,2,7,8,5,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,3,2,1,7,6,5] => [3,2,8,4,7,5,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,2,1,8,6,5] => [3,2,8,4,7,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,3,2,1,8,7,5] => [3,2,8,4,1,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,3,8,2,1,7,4] => [3,1,5,2,8,6,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,3,2,8,1,6,4] => [3,8,4,2,6,1,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,4,2,7,6,1,3] => [7,3,2,8,4,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,4,2,8,6,1,3] => [7,3,2,8,4,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,4,2,8,7,1,3] => [7,3,2,1,8,4,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,6,5,8,7,2,1,3] => [3,1,2,7,6,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,5,7,8,3,4,1] => [3,2,6,4,8,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,4,2,7,8,1,3] => [7,4,3,2,1,5,8,6] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,5,4,2,6,7,1,3] => [7,4,3,2,5,8,6,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,5,3,2,6,1,7,4] => [3,8,4,2,6,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,4,7,2,8,1,5] => [3,5,1,2,7,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,4,7,3,8,5,1] => [8,3,2,5,1,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,5,4,2,7,8,1,6] => [3,1,2,7,4,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,2,7,1,8,6] => [1,3,2,8,4,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,3,2,1,6,8,5] => [4,3,2,6,8,5,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,3,2,1,6,7,5] => [4,3,2,6,8,5,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,3,2,1,5,7,6] => [4,3,2,8,5,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,4,3,2,1,5,8,6] => [4,3,2,8,5,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,3,2,1,5,8,7] => [4,3,2,8,5,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,5,4,2,6,8,1,7] => [4,1,3,2,5,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,6,3,4,1,2,8,7] => [3,1,8,5,4,2,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,5,3,7,2,6,4,1] => [8,3,2,5,7,6,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,7,4,2,6,3,1] => [2,8,5,4,7,6,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,8,4,2,6,1,3] => [5,2,7,4,1,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,1,7,8,5,6,3,4] => [7,5,3,8,1,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,3,7,5,1,4,2] => [8,3,1,6,7,5,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,7,3,8,1,6,2,4] => [3,1,7,8,5,2,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,6,4,8,5,1,7] => [7,1,4,2,3,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,1,5,7,3,6,8] => [2,4,1,6,7,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,5,2,3,7,1,6,8] => [3,1,4,2,6,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,5,3,8,1,6,7] => [4,2,1,3,6,7,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,2,5,8,3,1,6,7] => [3,1,6,2,5,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,5,4,2,8,6,7] => [1,4,3,7,8,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,8,2,6,7] => [4,3,1,6,7,8,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,5,8,3,2,6,7] => [3,1,6,5,7,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,8,5,2,1,6,7] => [1,6,2,5,4,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,2,7,5,1,6,8] => [2,1,6,3,5,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,6,2,5,1,7,8] => [2,1,4,6,5,3,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,6,3,2,5,1,7,8] => [1,4,3,6,5,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,7,1,3,2,5,8] => [1,6,4,5,2,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,7,3,2,6,8] => [1,6,5,2,7,3,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,1,3,7,2,6,8] => [4,1,6,2,7,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,1,4,3,7,8,6] => [4,6,1,2,8,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,3,1,4,2,7,6,8] => [4,2,7,3,1,5,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,3,1,5,7,2,6,8] => [4,2,1,6,7,3,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,3,1,7,5,2,6,8] => [2,1,6,5,7,3,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,6,1,5,2,7,8] => [2,1,6,4,5,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,3,1,5,2,7,8] => [1,6,4,3,5,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,6,4,1,2,7,8] => [2,5,1,6,4,3,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,6,1,7,2,5,8] => [2,1,6,7,4,3,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,3,4,1,2,7,5,8] => [2,7,4,3,5,1,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,4,1,3,7,8,5] => [6,2,3,8,4,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,4,1,2,7,5,8] => [7,1,4,3,5,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,3,1,7,2,5,8] => [1,6,3,7,4,2,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,3,6,2,1,4,7,8] => [2,5,4,1,6,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,6,2,7,1,3,4,8] => [3,5,1,6,2,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,2,7,3,1,6,8] => [1,6,3,2,5,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,6,2,1,7,3,5,8] => [3,1,6,7,4,2,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,6,1,4,7,5,8] => [1,7,2,4,5,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,6,7,2,4,5,1,8] => [4,5,1,2,7,6,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,2,7,4,6,1,8] => [5,1,2,7,3,6,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,2,4,8,5,1,6] => [7,1,3,4,6,2,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,1,4,6,3,8,5] => [8,2,4,6,3,5,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,1,4,6,8,2,5] => [2,7,4,5,8,3,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,3,2,1,5,7,4,8] => [3,2,5,7,4,1,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,4,2,1,5,3,7,8] => [3,6,4,2,5,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,6,1,5,3,7,8] => [6,2,1,4,5,3,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,7,5,3,6,8] => [6,2,1,5,7,3,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,4,1,5,6,2,3,8] => [6,4,2,7,3,5,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,1,5,2,6,4,8] => [2,7,5,3,4,6,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,2,1,5,3,6,8,4] => [6,2,4,8,3,5,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,5,1,3,7,8,4] => [6,8,2,4,3,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,5,1,2,7,4,8] => [2,7,4,5,3,1,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,5,1,7,2,3,8] => [6,2,7,4,3,1,5,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,2,6,4,1,3,7,8] => [5,6,2,1,4,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,6,5,1,2,7,4,8] => [7,1,4,5,3,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,5,3,1,4,7,2,8] => [5,3,7,4,2,1,6,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,3,1,8,5,4,7,6] => [5,8,1,2,6,7,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,1,5,8,3,7,6] => [2,8,1,4,6,7,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,8,4,5,3,2,7,6] => [3,5,4,8,6,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,8,5,3,1,7,6] => [5,2,4,8,1,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,6,2,7,1,4,8] => [4,1,2,6,3,7,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,6,2,7,1,8,4] => [2,8,1,4,3,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,6,2,7,8,1,4] => [2,7,1,4,3,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,6,2,8,7,1,5] => [7,1,2,3,8,4,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,6,8,2,7,1,5] => [5,1,2,3,7,8,6,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[2,4,8,6,3,7,1,5] => [5,7,2,4,8,1,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,4,6,3,7,5,2] => [8,3,5,4,7,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,6,8,2,7,5,1] => [3,8,1,2,5,7,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,6,2,8,7,5,1] => [3,8,1,2,7,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,6,2,7,8,4,1] => [2,5,1,3,8,4,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,6,2,7,4,1,8] => [2,7,1,4,3,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,8,6,7,3,4,1] => [6,2,4,8,7,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,5,6,7,3,4,2] => [3,6,4,8,7,5,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,5,6,7,3,2,4] => [3,7,6,4,8,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,8,6,7,3,1,4] => [7,2,6,4,8,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,6,1,8,7,2,5] => [7,1,2,3,8,6,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,3,1,8,6,7,4,5] => [7,5,8,1,2,6,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,3,2,6,7,5,4] => [5,8,3,7,4,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,1,6,7,8,4,3] => [4,2,5,8,1,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,1,6,7,4,8,3] => [4,2,6,1,5,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,1,6,7,4,3,8] => [4,2,7,1,6,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,6,1,7,4,2,8] => [2,7,1,6,4,3,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,6,1,7,4,8,2] => [2,6,1,5,3,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,1,8,7,5,2] => [3,8,1,2,7,6,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,6,8,1,7,5,2] => [3,8,1,2,7,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,8,6,1,7,5,3] => [8,7,2,5,1,4,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,5,6,7,2,4,3] => [3,8,6,4,7,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,8,6,7,1,4,3] => [8,2,6,4,7,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,8,6,7,4,1,3] => [7,2,4,8,6,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,5,6,7,4,2,3] => [3,7,4,8,6,5,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,5,8,6,7,4,3,1] => [4,8,2,7,6,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,5,3,7,1,6,4] => [8,4,2,3,6,7,5,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,4,3,7,1,6,5] => [3,8,2,4,6,7,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,2,5,6,1,8,3,7] => [3,1,7,2,4,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,5,6,1,7,3,8] => [3,1,7,2,5,4,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,5,7,3,2,4,8] => [6,5,3,7,2,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,5,8,3,2,4,7] => [6,5,3,7,1,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,8,2,4,7,1,5] => [4,5,1,2,7,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,5,6,7,1,8,2] => [2,1,3,4,8,6,5,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,7,1,5,6,8,2,4] => [4,7,1,5,8,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,1,5,8,2,4,6] => [6,1,4,7,8,3,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,3,2,4,6,1,5,7] => [3,2,4,6,7,5,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,3,2,4,6,1,5,8] => [3,2,4,6,7,5,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,2,5,1,7,4,6,8] => [1,6,2,3,7,4,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,5,1,8,4,6,7] => [1,6,2,3,7,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,1,5,7,8,3,2,4] => [3,7,6,4,1,8,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,2,5,6,1,7,8,3] => [3,1,6,2,4,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,5,8,7,3,2,4] => [3,7,6,1,8,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,3,2,4,6,1,5] => [4,3,5,7,8,6,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,2,5,1,6,4,7,8] => [1,6,2,4,3,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,8,6,5,1,7,4,2] => [8,7,5,1,4,3,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,7,6,5,1,8,4,2] => [8,7,5,1,4,3,2,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,1,7,8,4,2,3] => [7,4,2,1,8,6,3,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,2,5,1,6,7,8,4] => [1,5,2,3,6,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,4,1,8,5,6,7] => [2,1,3,6,7,8,4,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,4,1,6,8,5,7] => [2,1,3,5,7,8,4,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,4,1,8,5,7,6] => [1,8,2,3,6,7,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,5,1,6,7,4,8] => [1,5,2,3,7,4,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,5,1,7,4,2,3,8] => [6,7,5,3,2,1,4,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,5,1,8,4,2,3,7] => [6,7,5,2,1,8,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,2,6,1,8,3,7,5] => [1,8,6,2,3,7,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,6,1,8,3,7,4] => [8,6,2,1,3,7,4,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,6,1,8,4,7,3] => [6,3,1,8,2,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,1,6,4,2,3,7] => [6,7,5,3,2,4,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,6,1,5,7,3,2,4] => [7,6,4,8,3,2,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,2,6,1,8,5,7,3] => [1,6,3,8,2,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,6,1,7,3,4,2] => [6,2,8,7,4,3,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,6,8,5,1,7,4,2] => [2,8,7,1,5,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,1,6,7,4,2,3] => [7,4,2,8,6,3,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,2,4,1,8,6,5,7] => [1,7,2,3,6,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,4,1,5,8,6,7] => [2,1,3,7,8,4,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[7,8,5,1,6,4,2,3] => [7,8,6,4,3,1,5,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,8,5,1,7,6,4,2] => [3,8,7,1,6,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,5,1,6,4,2,3] => [7,8,6,4,3,5,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,2,5,1,8,7,6,4] => [8,1,3,7,2,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,7,3,1,8,4,2] => [4,2,1,8,7,5,3,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,6,3,7,1,8,5,2] => [8,1,3,2,7,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,3,7,5,1,8,2] => [8,1,3,2,6,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,6,1,7,5,3,8] => [1,7,6,2,4,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,5,7,4,1,6,3,8] => [2,7,5,1,4,6,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,7,4,1,6,8,3] => [2,6,4,8,1,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,7,3,6,1,8,2] => [2,1,4,8,6,5,3,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,4,7,8,3,1,6,2] => [1,8,2,6,5,3,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,3,8,5,1,7,2] => [2,8,3,1,6,5,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,4,3,6,1,7,2] => [1,4,3,8,6,5,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,8,3,6,1,7,2] => [2,1,4,8,6,5,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,3,6,7,1,8,2] => [3,2,1,4,8,6,5,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,5,4,6,1,7,3,8] => [3,2,7,1,5,4,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,8,4,1,6,7,3] => [6,4,1,8,2,5,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,1,7,5,8,6,3] => [8,2,5,1,4,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,4,1,8,5,3,7] => [3,7,6,1,2,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,8,2,1,6,3,7] => [4,2,1,7,5,6,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,8,4,1,6,3,7] => [2,7,5,1,4,6,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,8,3,2,6,1,5,7] => [1,4,3,6,7,5,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,2,8,1,6,4,7] => [7,1,3,2,5,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,7,1,5,8,6,4] => [8,1,5,7,2,4,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,2,5,1,6,7,4] => [6,1,3,4,8,5,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,8,2,6,7,1,5] => [1,7,2,4,5,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,2,6,7,8,1,5] => [2,1,4,7,3,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,6,7,1,5,8] => [2,1,6,3,4,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,7,2,6,8,1,5] => [1,7,2,4,5,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,5,7,8,1,6,4] => [8,1,3,6,2,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,2,7,8,1,5,4] => [8,2,6,3,1,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,6,1,7,8,5,3] => [1,5,3,8,2,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,2,1,7,8,4,3] => [5,8,3,2,1,7,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,1,7,5,3,8,6,4] => [4,8,7,1,5,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,1,8,5,3,7,4] => [8,6,2,5,1,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,2,7,1,4,8,5] => [2,8,3,5,1,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,2,1,4,7,8,5] => [3,2,6,8,4,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,3,2,1,4,7,5,8] => [3,2,7,4,5,1,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,2,1,7,8,4,6] => [7,1,3,2,5,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,8,4,2,1,7,3,6] => [4,1,7,3,8,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,2,1,8,3,7,5] => [1,8,3,6,2,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,1,7,3,8,6,5] => [8,2,7,1,5,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,7,1,4,8,6,5] => [8,1,7,2,4,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,8,2,1,7,4,6] => [4,1,2,7,8,5,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,7,2,8,1,5,6] => [2,1,4,6,7,3,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,7,2,1,5,6,8] => [2,1,5,4,6,7,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,8,3,2,7,1,5,6] => [1,4,3,6,7,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,2,8,1,7,4,6] => [7,1,2,8,3,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,2,8,1,4,7,5] => [2,8,3,5,1,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,1,4,7,5,8,6] => [1,8,2,6,3,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,3,2,1,8,4,6,7] => [3,2,6,1,7,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,8,3,2,1,5,6,7] => [1,5,4,3,6,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,3,8,2,1,5,6,7] => [2,1,5,4,6,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,4,5,2,3,1,7,6] => [4,2,5,3,8,6,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,7,2,5,3,4,1] => [6,8,4,2,7,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,2,5,3,4,1,7,6] => [4,5,2,3,8,6,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,5,3,4,1,8,7] => [4,5,2,3,1,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,5,2,4,3,8,7] => [5,8,4,2,3,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,5,1,3,2,8,7] => [5,2,8,4,3,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,5,3,4,2,8,7] => [4,5,3,8,2,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,7,5,6,2,4,1] => [6,4,8,2,7,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,1,5,3,4,2,7,6] => [4,5,3,8,2,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,5,1,3,2,7,6] => [5,2,8,4,3,6,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,7,4,5,1,3,2] => [8,6,4,2,7,5,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,6,7,1,5,3,4,2] => [6,8,7,4,2,5,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,7,3,5,1,4,2] => [4,8,6,2,7,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,3,7,5,6,1,4,2] => [8,6,2,4,7,5,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,7,3,6,1,4,2] => [4,2,8,6,7,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,7,4,6,1,5,2] => [4,8,2,6,7,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,3,7,1,6,4,5,2] => [6,8,2,7,4,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,7,3,6,4,5,2] => [6,8,4,7,5,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,7,5,6,3,4,2] => [6,4,8,7,5,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,7,5,6,1,3,2] => [8,2,6,4,7,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,1,8,4,7,5,6,3] => [6,8,4,7,1,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,7,3,6,2,5,4] => [8,4,6,7,5,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,7,1,6,2,5,4] => [8,2,6,7,4,5,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,7,2,6,4,5,1] => [6,8,2,4,7,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,2,7,3,6,4,5,1] => [6,8,4,7,2,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,7,3,6,1,5,4] => [8,4,6,7,2,5,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,7,1,6,3,5,4] => [8,6,7,2,4,5,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,1,7,2,4,3,6,5] => [5,8,4,6,7,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,3,2,7,4,6,5] => [8,3,6,7,2,4,5,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,8,3,7,4,6,5] => [8,6,7,1,4,5,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,1,5,2,4,3,7,6] => [5,8,4,2,3,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,2,7,1,4,3,6,5] => [5,8,2,4,6,7,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,2,7,5,6,3,4,1] => [6,4,8,7,2,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,4,7,5,6,2,3,1] => [6,2,4,8,7,5,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,4,7,2,3,1,6,5] => [4,2,5,8,6,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,3,1,7,4,6,5] => [8,2,3,6,7,4,5,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,3,1,8,5,7,6] => [8,2,1,3,6,7,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,3,2,8,6,7,5] => [6,1,8,3,7,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,2,3,1,7,5,6,4] => [6,8,2,3,7,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,7,2,6,3,4,1] => [6,2,8,4,7,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,7,2,6,1,4,3] => [8,4,2,6,7,5,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,2,7,5,6,1,4,3] => [8,6,4,7,2,5,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,7,2,5,1,4,3] => [8,4,6,2,7,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,7,1,5,2,4,3] => [8,6,7,4,2,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,1,3,2,5,4] => [5,8,4,6,2,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,1,8,6,7,3,5,4] => [8,6,4,7,1,5,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,8,3,7,5,6,4] => [6,8,7,1,4,5,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,3,2,7,5,6,4] => [6,8,3,7,2,4,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,7,5,6,2,4,3] => [8,6,4,7,5,2,3,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,1,7,2,6,4,5,3] => [6,8,7,4,5,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,7,1,6,4,5,3] => [6,8,7,2,4,5,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,7,4,6,1,5,3] => [4,8,6,7,2,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,7,2,6,1,5,3] => [2,8,4,6,7,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,4,7,1,6,2,5,3] => [2,8,6,7,4,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,7,4,6,2,5,3] => [4,8,6,7,5,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,7,1,6,2,4,3] => [8,6,2,7,4,5,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,8,5,7,3,6,4] => [4,8,6,7,1,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,7,4,6,1,3,2] => [2,8,6,4,7,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,7,1,6,3,4,2] => [6,2,8,7,4,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,4,8,3,6,1,7,5] => [8,2,4,6,1,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,5,8,1,3,2,7,4] => [5,8,4,2,1,6,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,5,8,6,3,2,7,1] => [6,1,2,5,4,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,5,8,7,3,1,2,4] => [6,2,1,7,5,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,7,2,8,4,6,5,3] => [8,5,7,6,3,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,7,2,8,4,1,5,3] => [8,6,3,1,5,2,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,2,8,4,5,7,1] => [5,6,1,2,8,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,1,8,4,5,7,3] => [5,6,2,8,1,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,6,8,4,5,7,1] => [5,3,6,8,1,2,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,7,8,4,1,5,2] => [8,6,2,1,5,3,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,3,7,8,4,6,5,2] => [8,5,3,7,2,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,7,8,2,4,6,3] => [6,1,8,5,3,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,7,8,4,2,5,1] => [2,6,5,1,3,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,6,1,8,4,2,5,3] => [8,6,5,7,3,2,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,8,3,7,1,6,5,4] => [8,7,3,5,6,1,4,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,8,7,3,6,1,4] => [5,1,7,8,6,2,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,1,8,4,6,5,3] => [8,5,7,2,6,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,2,7,8,4,6,5,1] => [8,5,1,3,7,2,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,2,7,8,5,4,6,3] => [6,5,3,8,7,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,2,1,3,8,5,6,7] => [2,6,1,7,8,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,2,5,8,3,4,6,1] => [5,3,6,8,2,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,8,5,4,3,1,7] => [7,6,5,2,1,4,8,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,8,4,5,3,1,6,7] => [3,6,5,1,4,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,4,8,5,2,3,1,7] => [2,5,1,7,6,4,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,5,8,2,4,6,1] => [5,2,3,6,1,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,3,1,2,8,5,6,7] => [6,2,1,7,8,3,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,2,1,8,5,6,7] => [1,3,2,6,7,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,7,6,8,4,3,5,1] => [6,5,3,2,8,1,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,7,1,8,3,4,6,2] => [5,1,6,8,7,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,7,5,8,1,4,6,2] => [6,3,8,1,5,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,5,8,3,4,6,2] => [5,3,6,2,8,7,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,8,5,4,3,2,7] => [2,7,6,5,4,8,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,8,1,4,3,2,7] => [1,7,6,4,2,5,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,5,8,6,3,4,2,1] => [2,5,1,8,7,6,4,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[2,4,8,3,6,5,1,7] => [7,2,4,6,1,5,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,4,1,5,6,3,7] => [5,3,7,1,4,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,8,3,5,6,2,7] => [4,1,5,7,6,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,8,4,1,3,2,7] => [1,7,5,2,6,4,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,8,1,5,3,2,7] => [7,1,6,4,2,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,8,4,5,3,2,7] => [4,2,7,6,5,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,3,8,5,4,6,2] => [6,5,8,3,2,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,1,8,5,4,6,2] => [6,5,8,1,7,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,3,8,4,6,5,1] => [8,5,7,3,1,2,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,1,3,8,4,6,5,2] => [8,5,7,3,6,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,8,4,3,6,1,2] => [7,1,5,4,2,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,4,1,6,5,3] => [4,8,7,5,6,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,5,4,3,1,6,7] => [6,5,4,1,3,7,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,5,8,4,2,3,1,7] => [5,2,1,7,6,4,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,1,3,2,8,5,6,7] => [3,6,1,7,8,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,3,2,8,5,6,7] => [3,2,6,7,8,1,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[7,3,2,8,5,4,6,1] => [6,2,5,8,3,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,8,2,5,3,1,7] => [2,7,4,1,6,5,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,4,3,5,1,6,7] => [4,3,6,1,5,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,2,8,4,5,3,1,7] => [4,7,6,2,1,5,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,2,3,8,5,4,6,1] => [6,5,8,2,3,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,3,1,8,5,6,7] => [2,3,1,6,7,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,4,8,5,6,7] => [2,1,6,7,8,3,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,8,1,5,3,4,7,6] => [8,5,1,3,4,6,7,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,4,2,8,5,3,6,7] => [2,6,5,7,8,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,4,2,5,3,6,7] => [6,4,3,5,7,8,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,1,5,3,2,4,6,7] => [5,4,6,2,3,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,5,2,8,4,3,6,7] => [6,5,2,7,8,1,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,8,5,4,3,6,7] => [6,5,4,7,8,1,2,3] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,5,4,3,8,6,7] => [4,3,7,8,1,2,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,4,8,5,3,7,6] => [5,8,3,6,7,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,7,4,8,5,3,6] => [7,4,6,3,8,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,7,8,4,3,6] => [2,7,6,4,8,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,7,4,8,3,6] => [5,7,4,1,8,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,8,1,5,4,7,3,6] => [5,4,7,8,1,3,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,2,8,5,7,4,3,6] => [4,7,6,8,5,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,4,8,7,5,3,6] => [7,6,8,3,5,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,1,4,3,7,6,5] => [8,4,7,1,3,5,6,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,1,2,8,7,4,3,5] => [7,6,8,5,2,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,1,2,8,7,3,5] => [7,2,8,6,3,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,6,4,8,1,7,2,5] => [3,7,1,2,8,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,1,4,2,8,3,5] => [7,4,8,3,5,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,6,2,8,4,3,5] => [7,6,8,4,2,3,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,7,2,8,4,3,5] => [7,6,2,8,4,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,7,1,4,2,8,3,5] => [7,4,8,3,1,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,8,1,5,2,4,6] => [6,7,1,4,5,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,2,8,5,3,4,6] => [6,7,5,8,2,3,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,2,8,4,5,3,6] => [5,7,6,8,3,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,2,7,8,5,3,6] => [7,2,6,4,8,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,8,4,3,7,5] => [5,8,6,7,2,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,1,2,8,3,7,5] => [8,6,2,7,3,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,6,1,3,2,4,8,5] => [4,8,3,5,6,2,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,7,1,3,2,4,8,5] => [4,8,3,5,1,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,7,5,8,3,4,6] => [6,4,7,3,8,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,8,1,3,7,2,4,6] => [4,6,1,7,8,3,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,7,3,5,4,6] => [7,5,6,8,1,3,4,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,6,1,3,2,4,7,5] => [4,8,3,5,6,2,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,8,1,7,3,6,5] => [1,8,6,7,2,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,1,7,4,3,6,5] => [5,8,6,7,1,3,4,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,2,8,4,3,6,5] => [5,8,6,7,2,3,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,4,7,5,3,6] => [7,4,6,8,5,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,8,7,4,5,3,6] => [5,7,6,8,4,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,8,1,7,5,3,4,6] => [6,7,5,8,1,3,4,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,1,4,2,7,3,5] => [7,4,8,3,5,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,6,2,7,4,3,5] => [7,6,8,4,2,3,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,1,2,8,6,4,3,5] => [7,6,8,5,2,3,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,1,2,8,6,3,5] => [7,2,8,6,3,4,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,4,8,7,1,6,2,5] => [7,8,1,2,5,6,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,8,1,7,6,4,3,5] => [7,6,8,5,1,3,4,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,8,3,4,1,5,2,6] => [3,7,5,4,6,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,3,4,1,6,2,5] => [3,7,4,8,5,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,3,4,1,7,2,5] => [3,7,4,1,8,5,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,3,4,1,8,2,5] => [3,7,4,1,8,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,3,4,1,8,2,6] => [3,1,7,4,8,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,3,4,1,7,2,6] => [3,1,7,4,8,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,3,4,1,5,2,7] => [3,7,5,4,1,6,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,7,3,4,1,6,2,8] => [3,1,7,5,4,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,2,8,3,4,1,7] => [5,1,7,3,2,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,3,1,7,4,8] => [3,4,1,7,5,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,2,4,1,8,3,7] => [7,3,1,4,2,8,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,2,4,1,7,3,8] => [7,3,1,5,4,2,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,6,2,5,1,7,3,8] => [1,7,3,5,4,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,2,5,1,8,3,7] => [1,7,3,4,2,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,8,3,7,2,6] => [1,5,2,7,8,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,1,7,3,8,2,6] => [1,5,2,7,4,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,2,7,3,8,1,4] => [5,1,7,3,2,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,7,4,8,1,3] => [1,7,5,3,2,4,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,2,8,3,7,1,4] => [5,1,7,2,8,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,1,7,3,6,2,8] => [1,5,2,7,6,3,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,1,8,3,6,2,7] => [1,5,2,7,6,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,3,2,1,4,8,7] => [4,3,8,5,2,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,8,2,4,5,7,3,1] => [4,5,1,8,3,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,2,4,5,3,1,6] => [4,7,3,6,5,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,7,4,5,2,1,6] => [4,7,2,6,5,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,8,4,5,7,2,1] => [4,5,1,8,2,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,7,4,3,6,2,1] => [5,1,4,8,7,6,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[2,8,7,4,3,6,1,5] => [5,4,7,8,6,1,3,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,1,7,4,3,6,2,5] => [5,4,7,8,6,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,3,5,1,4,2,6] => [3,7,5,6,4,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,3,5,1,7,4,2] => [8,3,1,7,5,4,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,1,8,4,7,6,3,2] => [1,8,4,7,6,5,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,5,8,4,7,6,3,1] => [8,2,4,7,6,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,3,8,1,5,6,7,2] => [2,1,5,6,8,4,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,1,3,5,6,7,2] => [4,1,5,6,8,3,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,7,4,1,6,3,2] => [8,1,7,5,4,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,3,6,1,4,7,2] => [3,1,6,8,5,4,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,8,7,4,1,6,2,5] => [7,4,8,1,5,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,1,4,2,6,3,5] => [7,4,8,3,5,6,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,3,1,2,4,7,5] => [8,4,3,5,6,2,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,7,4,5,2,3,6] => [6,4,7,5,8,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,7,4,5,1,3,6] => [6,4,7,5,8,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,2,4,1,6,3,5] => [7,3,4,8,5,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,3,6,2,4,7,1] => [3,1,5,6,4,8,7,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,3,2,1,4,7,5] => [4,3,8,5,6,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,5,2,1,4,6] => [3,6,5,7,4,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,6,2,1,7,4] => [3,1,5,8,6,4,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,6,8,4,5,7,1,3] => [4,2,7,5,8,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,8,4,5,7,2,3] => [4,7,5,1,8,6,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,3,5,1,7,2,4] => [3,7,1,8,5,4,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,6,1,2,7,4] => [3,1,8,5,6,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,8,2,5,6,7,3] => [5,1,6,8,4,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,2,1,5,6,7,3] => [3,1,5,6,8,4,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,1,4,7,6,2,3] => [4,1,7,8,6,3,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,3,1,6,2,7,4] => [3,1,8,6,4,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,7,2,6,4,8,1] => [2,6,1,4,5,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,7,3,6,4,8,1] => [2,6,4,5,1,3,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,3,7,6,1,5,2] => [2,8,3,6,7,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,7,2,3,5,4,8,1] => [6,3,4,1,5,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,3,6,4,8,1] => [6,4,1,5,2,3,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,3,4,7,6,1,5,2] => [8,2,3,6,7,5,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,1,4,7,6,8,5,2] => [5,1,4,8,3,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,7,6,8,5,2] => [1,5,4,8,3,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,3,6,8,4,2] => [5,1,8,4,3,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,1,3,5,8,4,2] => [5,8,4,1,7,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,8,3,7,6,1,5,2] => [8,1,3,6,7,5,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,4,7,6,1,5,2] => [8,3,6,7,1,5,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,4,7,1,6,5,3] => [8,3,7,5,6,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,7,2,6,5,3] => [8,3,7,5,6,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,3,2,7,6,5,4] => [8,7,3,6,2,4,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,3,1,7,6,5,4] => [8,7,3,6,1,4,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,8,2,1,7,6,5,4] => [8,7,1,3,6,4,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,7,1,2,8,5,4,3] => [8,7,6,3,1,4,2,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[8,3,2,1,7,6,5,4] => [8,2,7,3,6,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,1,7,6,8,5,2] => [5,1,2,4,8,7,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,4,2,7,8,6,5,3] => [4,8,2,7,6,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,4,2,7,1,6,5,3] => [2,8,7,3,5,6,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,5,7,2,8,6,4,3] => [8,2,7,6,4,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,5,7,1,8,6,4,3] => [8,2,7,6,1,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,4,5,8,1,3,2] => [3,1,8,6,4,2,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,4,7,6,8,1,3,2] => [1,8,2,6,4,3,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,7,8,1,6,4,3] => [8,2,7,5,1,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,1,7,2,6,5,3] => [2,8,7,5,6,3,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,4,8,7,2,6,5,3] => [8,7,2,5,6,4,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,4,8,7,6,1,5,2] => [8,6,7,1,2,5,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,8,7,6,1,5,2] => [8,1,6,7,2,5,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,7,8,6,1,4,2] => [1,8,6,2,3,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,2,8,1,5,4,3] => [8,7,3,1,5,2,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,7,8,1,6,4,3] => [1,8,7,5,2,3,6,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,8,7,1,6,5,3] => [8,1,7,5,6,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,1,7,6,5,4] => [8,7,1,6,2,4,5,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,3,8,2,7,6,5,4] => [8,7,6,2,4,5,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,3,1,2,7,6,5,4] => [8,2,7,6,3,4,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,8,3,7,6,5,4] => [8,7,6,4,5,1,2,3] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,8,3,7,6,5,4] => [8,7,6,1,4,5,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,1,8,7,2,6,5,3] => [8,1,7,5,6,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,1,8,2,5,4,3] => [8,7,5,1,6,3,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,8,7,1,2,6,4,3] => [1,8,7,4,5,6,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,1,7,2,6,5,3] => [8,1,7,5,6,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,1,2,7,6,5,4] => [8,7,1,6,3,4,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,1,3,7,6,5,4] => [8,7,6,1,3,4,5,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,8,2,3,7,6,5,4] => [8,7,6,3,4,5,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,1,2,3,7,6,5,4] => [8,7,6,2,3,4,5,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,7,1,8,4,5,2,3] => [7,5,1,8,6,3,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,7,1,5,8,2,6,4] => [4,8,1,6,7,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,1,5,8,3,6,4] => [4,8,6,7,1,3,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,5,1,8,2,7,4] => [8,6,1,3,2,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,5,1,8,7,2,3] => [7,1,3,2,8,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,1,8,7,2,3] => [1,7,3,2,8,6,4,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,5,1,8,7,2,3] => [2,7,3,1,8,6,4,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,1,8,7,2,3] => [2,1,7,3,8,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,6,1,8,2,7,4] => [2,8,1,6,3,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,6,1,3,8,7,5] => [8,2,7,1,4,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,6,1,2,8,7,5] => [1,8,2,7,4,3,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,3,6,1,8,2,7,4] => [8,2,1,6,3,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,3,5,7,2,6,4] => [4,8,3,6,7,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,2,5,7,3,6,4] => [4,8,6,7,2,3,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,1,5,8,3,6,4] => [4,8,2,6,7,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,5,1,8,3,7,4] => [8,6,2,3,1,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,2,6,1,3,8,7,5] => [1,8,7,2,4,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,3,6,1,4,8,7,5] => [8,7,1,2,4,3,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,5,3,1,8,7,6] => [3,1,8,2,4,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,1,2,4,3,7,6,5] => [8,4,7,2,3,5,6,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,3,4,2,7,6,5] => [8,3,4,7,2,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,1,4,2,8,6,5] => [2,8,4,7,3,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,1,2,8,7,5] => [3,8,1,7,4,2,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,4,1,3,8,7,5] => [3,8,7,1,4,2,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,7,1,4,3,8,6,5] => [8,4,7,1,3,5,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,1,4,2,8,6,5] => [8,1,4,7,3,5,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,1,3,2,8,6,5] => [1,8,4,7,3,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,6,7,2,3,5,4] => [8,5,6,3,7,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,1,2,3,8,6,5] => [1,8,7,3,4,5,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,1,2,4,8,6,5] => [8,1,7,3,4,5,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,1,3,4,8,6,5] => [8,7,1,3,4,5,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,6,2,1,4,8,7,5] => [8,1,3,7,4,2,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,2,1,8,3,7,4] => [8,3,1,6,2,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,2,1,8,3,7,4] => [8,3,6,2,1,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,5,2,7,3,6,4] => [8,6,3,7,2,4,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,4,2,3,7,6,5] => [3,8,7,2,4,5,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,4,1,2,3,8,6,5] => [8,7,3,2,4,5,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,4,2,1,3,8,7,5] => [8,3,2,7,4,1,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,2,3,1,8,7,6] => [8,3,2,1,4,7,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,2,1,4,8,7,5] => [2,8,3,7,4,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,3,1,2,4,8,6,5] => [2,8,7,3,4,5,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,3,2,4,7,6,5] => [8,3,7,2,4,5,6,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,2,3,4,7,6,5] => [8,7,2,3,4,5,6,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[7,2,1,3,4,8,6,5] => [8,2,7,3,4,5,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,3,1,4,8,7,5] => [8,2,3,7,4,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,4,3,6,1,5,8,7] => [2,8,1,3,5,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,6,5,8,1,7] => [2,5,1,3,4,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,6,3,5,8,7,1] => [8,2,4,1,3,5,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,1,6,5,3,8,7] => [2,5,1,4,8,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,6,5,3,1,8,7] => [1,5,4,2,3,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,5,8,1,7,3] => [1,4,3,8,2,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,6,5,8,1,3,7] => [1,6,4,2,3,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,6,5,8,3,1,7] => [1,4,3,7,2,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,1,6,5,8,3,7] => [2,5,1,4,7,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,6,5,8,3,7] => [5,1,3,4,7,8,2,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,6,1,5,8,7,3] => [8,2,5,1,3,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,6,5,3,8,7,1] => [1,4,3,8,2,5,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,6,5,8,3,7,1] => [1,4,3,6,8,2,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,6,8,1,5,7,3] => [6,2,3,8,1,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,1,8,5,7,3] => [6,2,3,8,1,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,4,6,8,5,3,7] => [4,7,1,3,6,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,6,8,1,5,3,7] => [7,2,5,1,3,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,6,8,5,1,3,7] => [1,6,3,7,2,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,8,3,5,1,7] => [5,2,3,7,1,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,8,3,1,5,7] => [6,2,5,1,3,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,3,8,5,1,7] => [7,2,4,1,3,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,3,8,5,7,1] => [6,2,3,8,1,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,6,8,1,5,7] => [2,6,1,3,4,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,3,6,1,8,5,7] => [2,7,1,3,4,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,3,1,6,8,5,7] => [3,1,2,5,7,8,4,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,1,3,6,8,7,5] => [2,8,1,5,7,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,6,5,2,8,7,3,1] => [3,1,2,8,7,4,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,5,2,8,7,1,3] => [7,1,3,2,8,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,2,5,8,7,3,1] => [8,1,4,2,7,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,6,3,8,1,7,5] => [8,2,4,1,3,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,3,1,8,7,5] => [8,2,4,1,3,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,4,6,3,8,7,5] => [4,8,1,3,7,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,6,8,3,7,5] => [4,8,1,3,6,7,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,6,1,8,3,7,5] => [8,2,6,1,3,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,6,8,1,3,7,5] => [8,2,5,1,3,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,8,3,1,7,5] => [5,2,3,8,1,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,6,2,8,5,7,1,3] => [7,1,5,2,8,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,2,8,7,5,3,1] => [8,2,1,7,6,3,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,4,8,1,7,5,3] => [8,3,2,7,1,5,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,4,1,8,7,5,3] => [8,3,2,7,1,6,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,1,4,8,7,5,3] => [8,7,4,1,2,6,3,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,6,4,8,7,5,3] => [3,8,7,1,4,6,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,6,4,8,7,3,5] => [7,3,8,1,4,6,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,1,4,8,7,3,5] => [7,8,4,1,2,6,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,4,1,8,7,3,5] => [3,7,2,8,1,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,2,8,7,5,1,3] => [2,7,1,8,6,3,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,4,8,7,3,5,1] => [6,8,3,1,7,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,4,8,7,3,1,5] => [7,3,6,1,8,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,6,4,7,3,8,2,5] => [3,5,2,7,4,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,4,7,3,6,8,1] => [3,5,1,6,2,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,1,7,5,8,2,6] => [2,1,5,7,4,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,8,2,1,7,3,4,6] => [3,6,1,7,8,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,2,1,8,3,4,6] => [3,6,1,7,8,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,1,5,8,2,7] => [2,1,5,7,3,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,2,1,5,8,3,7] => [3,5,2,7,1,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,3,4,1,8,6,7] => [3,4,1,2,7,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,5,2,1,8,6,7] => [2,1,4,3,7,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,4,8,7,2,3,5] => [3,6,2,7,8,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,2,5,1,3,7,6] => [1,8,3,5,4,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,2,5,1,3,8,6] => [1,8,3,5,4,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,2,1,6,4,5,7] => [3,2,6,7,4,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,2,5,1,6,3,7] => [7,3,2,5,4,6,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,3,2,1,5,6,4,7] => [3,2,5,7,4,6,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,8,1,4,7,6,5] => [8,1,7,2,4,5,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,2,5,1,7,3,6] => [1,7,3,4,8,5,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,2,5,1,8,3,6] => [1,7,3,4,8,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,1,7,5,8,6,4] => [8,1,5,2,4,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,7,1,6,8,4,5] => [7,1,5,8,2,4,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,8,7,5,6,4] => [6,8,1,7,2,5,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,8,1,7,4,6,5] => [8,1,6,7,2,4,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,8,1,6,4,7,5] => [8,1,6,2,4,5,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,7,1,6,4,8,5] => [8,1,6,2,4,5,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,6,1,3,8,5] => [1,8,5,6,2,4,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,8,6,1,3,7,5] => [1,8,5,6,2,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,7,1,3,6,5] => [1,8,5,6,7,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,7,8,1,3,6,5] => [1,8,5,6,2,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,6,8,1,3,7,5] => [1,8,5,2,3,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,6,7,1,3,8,5] => [1,8,5,2,3,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,6,1,8,4,7,5] => [8,1,6,2,3,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,2,1,8,5,4,6] => [7,1,3,6,8,4,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,2,7,1,8,6,4,5] => [7,8,1,6,2,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,1,8,7,4,5] => [7,1,3,8,2,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,6,8,1,7,3,5] => [1,7,3,8,2,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,6,8,7,1,2,5] => [1,6,2,3,7,8,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,2,6,7,1,8,3,5] => [1,7,3,8,2,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,4,8,7,1,2] => [4,2,1,3,7,8,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,4,6,2,7,8,5,3] => [5,2,3,8,7,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,8,5,4,2,6,7] => [6,1,5,4,7,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,7,5,4,8,6,3] => [4,8,5,3,7,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,7,5,4,8,1,2] => [7,5,2,1,4,3,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,3,8,5,4,6,1,2] => [7,5,2,4,1,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,7,5,4,6,1,2] => [7,5,4,8,1,6,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,6,8,5,4,7,1,2] => [2,7,5,1,4,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,3,5,4,7,1,2] => [7,3,1,5,4,8,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,3,5,4,8,1,2] => [7,3,5,4,2,1,8,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,6,2,5,4,8,7,3] => [4,8,5,2,7,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,2,5,8,3,6,4] => [4,8,6,7,2,3,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,2,5,7,3,6,4] => [4,8,6,7,3,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,1,5,4,8,7,3] => [4,8,2,5,1,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,1,2,4,6,5,3] => [8,5,7,3,4,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,1,4,2,6,5] => [5,3,8,4,6,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,6,1,8,2,7,5] => [1,8,2,6,3,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,8,5,4,1,6,7] => [6,5,1,2,4,7,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,8,1,5,2,3,7,6] => [1,8,5,3,4,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,5,1,6,4,3,2,8] => [7,6,5,3,2,4,1,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,8,1,6,4,3,2,7] => [1,7,6,5,3,4,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,1,5,7,4,3,2,8] => [3,7,6,5,2,1,4,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,5,8,6,4,3,2,7] => [7,2,6,5,4,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,4,1,5,3,2,6] => [7,6,4,3,5,1,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,8,5,1,6,3,2,4] => [7,6,8,4,3,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,6,1,5,7,3,8,4] => [4,8,6,1,3,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,8,7,4,3,2,5] => [2,7,6,5,8,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,1,7,4,3,2,5] => [7,6,5,1,8,3,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,6,1,7,4,3,2,8] => [1,7,6,5,3,2,4,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,1,7,6,4,3,2,8] => [1,7,6,5,4,2,3,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,1,7,8,4,3,2,5] => [7,6,5,3,1,8,2,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,1,8,6,4,3,2,5] => [7,6,5,8,4,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,8,7,6,4,3,2,5] => [7,6,5,8,4,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,1,6,7,5,8,2,4] => [3,7,1,5,4,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,1,6,5,3,2,4] => [7,6,8,5,3,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,1,5,4,6,7,3] => [5,4,6,8,1,3,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,1,5,4,6,8,3] => [5,2,4,6,8,3,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,2,8,5,6,3,7,4] => [4,8,6,5,7,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,2,5,7,3,8,4] => [4,8,6,2,3,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,1,5,6,3,7,8] => [2,4,1,6,3,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,1,6,3,7,8,2,4] => [7,4,3,1,5,8,2,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,3,6,8,5,7,2,4] => [3,7,5,8,2,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,6,3,7,1,8,5] => [8,2,4,1,3,6,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,6,4,8,7,2,5] => [7,3,8,2,4,6,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,6,7,3,8,2,5] => [1,5,3,7,4,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,1,5,2,3,7,8] => [5,6,3,2,4,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,7,5,2,3,8,6] => [1,8,5,4,6,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,2,3,5,4,1,8,6] => [5,2,3,4,8,6,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,8,3,5,4,1,7,6] => [5,3,4,8,1,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,6,3,8,1,7,5] => [1,8,4,2,3,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,1,4,6,3,2,5] => [4,7,6,8,3,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,6,4,7,8,2,5] => [7,1,4,3,5,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,5,7,4,3,2,6] => [3,7,6,5,8,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,5,8,4,3,2,6] => [3,7,6,5,8,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,1,8,7,4,3,2,6] => [1,7,6,5,8,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,1,8,4,3,2,7] => [7,6,5,2,1,8,3,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,5,7,1,4,3,2,8] => [7,6,4,2,1,5,3,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,5,8,1,4,3,2,6] => [7,6,4,2,5,1,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,7,1,4,3,2,6] => [1,7,6,4,5,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,5,7,8,4,3,2,6] => [7,2,6,5,3,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,4,6,1,3,2,5] => [7,5,3,6,1,8,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,5,4,1,3,2,6] => [7,5,6,4,3,1,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,5,6,4,1,8,2,7] => [2,7,1,4,3,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,5,1,3,8,7] => [3,8,5,1,4,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,5,8,4,3,2,7] => [3,2,7,6,5,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,5,1,4,3,2,7] => [7,6,4,1,5,3,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,5,1,4,3,2,8] => [7,6,4,5,3,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,6,2,5,4,1,7,8] => [6,1,3,5,4,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,3,6,2,8,1,5,7] => [2,1,4,6,3,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,2,4,5,1,3,7,8] => [5,2,3,6,4,1,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,8,5,1,3,7,6] => [1,8,5,2,4,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,3,6,8,1,7,2,5] => [1,7,2,3,8,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,6,4,1,7,2,8] => [7,2,1,5,4,3,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,1,5,8,3,7,4] => [4,8,2,6,1,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,7,4,8,3,5,2] => [4,2,6,3,8,7,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,6,3,7,5,8,2] => [6,2,4,3,5,8,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,7,2,5,8,1,3] => [7,1,4,2,5,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,6,1,7,5,3,8] => [7,2,6,1,4,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,7,5,4,1,6,3,8] => [7,5,4,1,3,6,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,5,4,6,2,8,1,3] => [5,3,2,7,4,1,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,7,5,4,3,8,6,2] => [4,3,8,5,2,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,5,8,4,3,6,7,2] => [2,5,4,6,8,7,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,6,2,7,8,1,3] => [2,1,7,4,3,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,5,4,1,6,7,3,8] => [5,3,1,2,7,4,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,6,3,2,7,1,4,8] => [4,3,1,6,2,7,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,6,3,2,7,1,4] => [5,4,2,7,3,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,4,1,7,8,5,3,6] => [7,2,6,1,4,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,4,1,6,3,8,7] => [5,3,1,2,8,4,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,6,3,2,1,8,4,7] => [4,3,1,7,2,8,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,4,3,2,1,5,7] => [6,5,4,3,1,7,8,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,3,8,2,1,6,4,7] => [2,4,1,7,5,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,5,8,2,1,4,6] => [6,5,1,3,7,2,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,2,8,5,1,6,4] => [8,2,6,3,5,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,3,2,1,7,5] => [2,5,4,8,6,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,3,2,1,7,5] => [5,4,3,8,6,2,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,4,3,2,1,8,5] => [5,4,3,8,6,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,8,3,2,6,1,4] => [5,4,2,7,1,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,7,3,2,1,6,8,4] => [4,3,1,6,8,5,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,7,3,2,1,6,4,8] => [4,3,1,7,5,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,7,2,5,1,8,4] => [8,2,4,1,6,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,8,3,5,2,1,4] => [4,1,7,6,2,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,5,7,8,4,1,3] => [3,7,4,1,8,2,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,5,7,8,6,3,4] => [7,3,4,8,1,6,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,7,2,8,1,4,5] => [4,6,1,2,7,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,4,1,3,7,8,6] => [6,3,1,2,8,4,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,8,4,1,3,7,6] => [2,8,5,1,4,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,4,1,7,8,3,6,5] => [8,2,6,1,4,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,8,2,1,7,4,5] => [4,7,1,2,8,5,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,8,2,1,4,7,6] => [2,4,1,8,5,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,7,3,2,1,5,6] => [6,1,5,4,7,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,3,2,1,5,6,8] => [1,5,4,3,6,7,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,7,3,2,1,5,6] => [2,6,5,4,7,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,3,5,4,6,1,2] => [7,3,5,4,1,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,3,7,5,2,4,1] => [6,8,3,2,7,5,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,4,1,6,3,2,8,7] => [5,4,2,1,8,3,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,4,1,6,2,3,8,7] => [8,5,3,2,1,4,6,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,7,1,6,2,8,3,4] => [7,1,8,5,3,4,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,1,6,2,8,4,3] => [1,8,7,5,3,4,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,6,5,1,8,3,4] => [7,8,5,4,1,3,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,6,5,1,8,4,3] => [8,7,5,4,1,3,2,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,3,6,5,1,4,8,7] => [8,5,1,2,4,3,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,3,6,4,1,5,8,7] => [4,8,1,2,5,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,6,1,5,4,8,7] => [5,8,1,2,4,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,3,5,1,8,4,2,6] => [7,2,6,3,8,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,1,8,6,4,2] => [3,8,2,7,6,4,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,6,1,5,8,4,3] => [5,8,7,4,1,3,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,6,4,1,8,5,3] => [4,8,7,5,1,3,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,1,7,6,3,8,5,4] => [8,7,5,1,4,2,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,7,6,3,8,4,5] => [7,8,5,1,4,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,3,6,2,8,4,1] => [1,8,3,5,4,2,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,6,4,1,8,3,5] => [7,4,8,5,1,3,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,5,1,8,6,2,4] => [7,2,3,8,6,4,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,3,4,8,7,6,1,5] => [7,8,6,1,2,3,5,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,3,5,4,8,1,2,6] => [6,2,4,3,7,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,5,8,7,2,1] => [2,8,3,1,4,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,1,4,5,8,7,3,6] => [7,8,1,3,4,6,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,4,3,5,8,7,1,2] => [3,2,4,1,7,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,5,4,8,1,6,2] => [4,2,3,8,6,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,4,8,7,5,6,1] => [6,8,7,1,2,3,5,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,4,8,7,5,1,6] => [7,6,8,1,2,3,5,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,6,5,4,8,1,3] => [7,5,4,3,1,2,8,6] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,3,5,6,8,4,1,2] => [3,7,2,4,1,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,5,6,8,1,2,4] => [6,2,3,7,4,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,1,5,8,7,2,3] => [4,2,7,1,8,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,5,8,7,3,2] => [2,8,4,1,7,6,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,1,5,8,3,7,2] => [4,2,6,1,8,7,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,6,3,8,2,4] => [5,1,7,4,8,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,5,8,3,2,7] => [4,2,7,6,1,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,1,5,8,2,3,6] => [6,4,2,7,8,3,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,1,5,8,2,6,3] => [4,2,8,6,7,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,5,7,8,2,4,1] => [3,6,2,1,4,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,7,6,4,5,8,3,1] => [4,5,3,2,8,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,3,6,1,8,4,2] => [1,8,3,7,5,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,1,4,5,8,6,3,7] => [7,1,3,4,6,8,2,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,3,5,4,8,6,2,1] => [3,8,2,4,1,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,4,8,5,6,1,7] => [5,7,1,2,3,6,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,8,7,1,6,5] => [8,6,7,1,2,3,5,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,4,8,1,7,6,5] => [8,7,1,2,3,5,6,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,3,4,8,1,6,7,5] => [6,8,1,2,3,5,7,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,8,5,1,7,6] => [5,8,1,2,3,6,7,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,3,5,4,8,2,7,1] => [4,2,3,1,6,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,3,5,8,2,1,6] => [3,2,4,7,6,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,4,5,8,3,7,6] => [8,1,3,4,6,7,2,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,4,3,5,8,2,6,1] => [3,2,4,6,1,8,7,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,3,5,4,8,2,1,7] => [4,2,3,1,7,6,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,4,8,5,1,6,7] => [6,1,2,3,5,7,8,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,3,4,8,1,6,5,7] => [7,1,2,3,5,6,8,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,3,4,8,1,5,7,6] => [8,1,2,3,5,6,7,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[7,8,2,6,1,5,3,4] => [7,8,3,5,1,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,1,6,2,5,3,4] => [7,8,5,6,3,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,6,7,2,5,3,4] => [7,8,5,3,6,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,5,7,2,6,3,4] => [7,3,8,5,6,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,1,7,2,6,3,4] => [7,1,8,5,6,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,7,1,6,3,4] => [7,1,8,3,5,6,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,8,6,7,1,5,3,4] => [7,8,5,3,6,1,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,5,7,1,6,3,4] => [7,3,8,5,6,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,1,7,5,6,3,4] => [7,5,8,6,1,3,4,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,2,7,5,6,3,4] => [7,5,8,6,3,4,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,1,7,5,6,2,3] => [7,1,5,8,6,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,4,7,5,6,2,3] => [7,3,5,8,6,4,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,3,7,5,6,2,4] => [7,5,8,3,6,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,1,7,5,6,2,4] => [7,5,8,1,6,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,3,7,2,6,4,5] => [7,8,3,5,6,4,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,1,7,2,6,4,5] => [7,8,1,5,6,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,2,7,1,6,4,5] => [7,8,1,3,5,6,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,8,2,7,5,6,1,4] => [7,5,8,1,3,6,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,2,7,5,6,1,3] => [7,1,5,8,3,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,3,7,5,6,1,2] => [7,1,3,5,8,6,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,4,7,5,6,1,2] => [7,3,5,8,1,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,4,7,5,6,1,3] => [7,3,5,8,6,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,8,3,7,5,6,1,4] => [7,5,8,3,6,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,3,7,1,6,4,5] => [7,8,3,5,6,1,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,7,3,6,4,5] => [7,8,5,6,1,3,4,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,2,8,6,4,1,3] => [7,2,8,6,3,1,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,1,8,6,2,3,4] => [6,7,2,8,5,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,8,4,5,2,6,3] => [4,8,6,5,7,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,1,7,4,2,5,3] => [8,6,5,1,7,3,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,6,7,4,2,8,5,3] => [4,2,8,7,5,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,7,3,8,5,2,4] => [7,2,8,4,3,6,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,8,3,5,6,2,4] => [7,4,5,8,6,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,4,2,8,6,1,3,5] => [6,2,7,8,3,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,1,8,4,2,5,6] => [2,6,5,7,8,3,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,8,3,5,1,6,4] => [8,4,6,2,5,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,3,8,5,7,4,1] => [5,8,7,2,1,3,6,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,3,1,4,8,5,2,7] => [2,7,4,6,1,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,3,7,8,5,4,1] => [4,2,8,7,1,3,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,3,7,8,4,5,1] => [6,4,2,8,1,3,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,7,3,6,8,5,1] => [5,8,2,4,1,3,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,3,7,8,1,6,4] => [2,8,6,1,3,4,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,3,1,4,8,2,6,7] => [4,2,6,1,7,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,4,8,6,1,3,7] => [3,6,1,7,2,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,3,8,4,6,7,1] => [5,6,1,8,2,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,2,3,6,1,7,5] => [1,8,3,4,6,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,2,3,5,7,1,6] => [3,1,4,5,7,8,6,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,4,7,8,3,6,2,5] => [5,7,2,3,8,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,1,3,6,7,2,5] => [1,7,4,5,8,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,3,8,1,2,7,6] => [3,2,1,8,5,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,2,8,1,3,7,5] => [8,3,2,5,1,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,8,2,5,1,7,4] => [8,2,4,1,6,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,3,6,2,7,4] => [8,4,1,6,3,5,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,1,4,2,6,3,7] => [7,5,3,1,4,6,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,8,4,1,2,7,6,3] => [1,8,7,4,3,5,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,1,2,8,7,3,4] => [7,8,6,3,2,1,4,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,5,3,1,4,2,8,7] => [5,3,8,4,2,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,3,1,6,4,2,7,8] => [2,6,5,3,1,4,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,2,6,4,1,7,3,8] => [7,5,2,1,4,3,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,6,1,7,5,2,8,3] => [8,1,6,5,3,2,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,5,1,7,2,6,3,8] => [1,7,5,2,6,3,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,6,1,2,8,7,4] => [2,8,1,7,4,3,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,5,7,1,8,6,3] => [1,8,3,7,2,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,7,2,8,6,1,5] => [7,8,1,2,4,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,2,6,8,1,7,4] => [4,1,2,8,3,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,5,6,1,3,8,7] => [3,1,8,2,5,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,2,5,6,8,7] => [8,3,2,1,4,5,6,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[5,3,6,8,4,7,2,1] => [3,1,5,8,2,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,2,5,4,8,6,1] => [4,8,1,3,5,2,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,2,5,7,3,6,1] => [4,2,6,8,3,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,6,8,4,3,7,1] => [3,1,6,5,8,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,6,5,4,8,2,7] => [5,1,4,3,7,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,6,5,8,3,2,7] => [1,4,3,7,6,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,8,4,3,2,7] => [3,1,7,6,5,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,4,7,6,3,2,1] => [2,8,3,7,6,5,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,7,1,8,4,3,2,6] => [1,7,6,5,8,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,1,5,4,3,8,6] => [5,4,8,1,3,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,1,5,4,3,7,6] => [5,2,4,8,3,6,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,1,5,7,3,2,6] => [4,2,7,6,8,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,6,7,1,3,2,4] => [7,5,2,6,3,8,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,6,1,7,3,2,5] => [2,7,6,8,4,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,6,1,4,3,8,5] => [5,8,4,6,1,3,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,8,5,1,3,2,4] => [7,5,1,6,2,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,7,2,8,4,3,6,1] => [1,6,5,8,3,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,8,2,4,3,5,1] => [6,4,1,5,2,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,7,6,2,8,3,5,1] => [6,8,1,4,3,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,6,2,4,7,5,1] => [8,2,4,5,3,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,6,2,4,8,5,1] => [8,4,5,1,3,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,3,5,8,6,2,1] => [8,1,3,4,2,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,1,4,6,2,5] => [5,3,7,8,4,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,6,3,2,5,4,1] => [4,8,5,7,6,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,2,5,1,3,6,4] => [8,3,5,6,4,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,6,5,1,3,7,4] => [8,5,6,2,4,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,6,5,8,1,2,3] => [6,7,1,4,3,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,6,5,1,8,2,4] => [7,8,5,1,4,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,4,8,7,5,1,2] => [7,2,8,1,3,6,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,4,3,8,7,1,2] => [1,4,3,2,7,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,4,7,2,8,1,6,5] => [8,1,2,4,6,3,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,4,7,2,5,8,6,3] => [8,2,5,7,4,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,6,4,8,7,1,2] => [2,4,1,3,7,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,6,8,5,3,7,1,2] => [2,7,1,5,4,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,5,3,4,7,1,2] => [4,1,7,5,3,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,5,4,2,8,7,3] => [4,3,2,8,7,1,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,8,1,4,2,6,5,3] => [4,8,7,3,5,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,3,6,4,8,2,5,7] => [4,6,2,3,7,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,7,5,3,2,6,8] => [1,6,5,4,7,2,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,8,5,3,1,7,2,6] => [7,1,4,3,8,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,3,6,1,4,2,7] => [3,1,7,5,6,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,2,5,8,1,7,4] => [4,8,1,3,2,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,8,7,4,2,3,5] => [6,2,7,5,8,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,7,8,2,4,3,5] => [7,5,6,3,1,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,8,6,3,4,2,5] => [5,7,6,8,4,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,2,8,3,6,5,7,4] => [6,5,8,4,7,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,2,7,5,8,4] => [6,3,5,8,2,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,3,8,5,7,2,4] => [7,5,2,8,3,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,4,1,7,5,8,3] => [3,6,5,1,2,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,5,8,1,4,2,3] => [7,8,5,3,2,1,6,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,8,6,7,3,2,1,4] => [7,1,6,5,3,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,4,3,7,2,8,5] => [3,8,4,2,6,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,3,4,8,7,1,5] => [7,8,3,1,2,4,6,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,8,3,5,4,2,7,6] => [5,3,4,8,6,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,2,4,6,3,1,5] => [4,7,3,6,1,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,2,6,4,7,8,1,5] => [7,1,4,2,3,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,5,7,4,3,1,6] => [3,7,6,5,8,1,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,5,8,3,4,1,6] => [5,3,7,2,6,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,8,7,1,2,6,4] => [8,2,1,5,6,7,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,5,3,8,2,1,7,4] => [3,5,2,1,8,6,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,4,1,2,3,6] => [5,6,2,7,4,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,7,4,1,3,2,6] => [1,7,5,6,4,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,4,6,7,3,1,8,5] => [5,2,3,8,1,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,4,6,3,1,2,5] => [6,3,7,5,1,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,6,4,5,3,8,1,7] => [3,5,4,1,2,7,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,6,5,8,4,2,1,7] => [3,2,7,1,6,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,8,4,2,3,1,7] => [1,5,2,7,6,4,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,5,4,3,1,2,7] => [6,1,7,5,4,3,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,8,6,5,3,2,7,1] => [6,5,1,4,3,8,7,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,5,1,2,4,7,3] => [6,8,4,5,3,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,5,8,2,1,4,3] => [5,1,8,6,3,2,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,7,5,8,2,6,4,3] => [3,8,7,5,2,6,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,8,5,7,1,2,4] => [6,7,2,1,4,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,5,2,1,4,7,3] => [4,6,1,8,5,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,2,5,6,1,7,4] => [4,8,1,3,6,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,5,6,3,7,4] => [4,8,6,1,3,5,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,2,5,6,3,7,4] => [4,8,6,2,3,5,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,8,6,2,7,3,4] => [7,1,8,5,4,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,1,5,7,2,3,4] => [6,7,4,8,3,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,5,8,1,2,4,3] => [8,5,6,3,2,1,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,1,7,6,8,4,2,3] => [1,7,4,3,8,6,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,1,3,7,8,6,2,4] => [7,4,1,8,3,6,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,5,8,1,6,4,3] => [3,8,7,2,5,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,8,6,1,7,3,4] => [7,1,8,5,2,4,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,8,6,5,7,3,4] => [7,5,4,8,6,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,2,1,3,6,7,8,5] => [2,5,1,6,8,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,2,5,6,3,7,1,4] => [5,3,7,2,4,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,6,5,4,1,8,3] => [8,6,5,2,4,3,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,1,3,5,4,7,8,2] => [5,3,4,6,1,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,3,4,7,8,2] => [4,5,3,6,1,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,6,2,4,1,8,3] => [8,4,2,6,5,3,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,5,2,6,3,7,1,4] => [5,7,3,2,4,8,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,3,1,2,6,7,8,5] => [5,2,1,6,8,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,1,6,5,7,3,2,4] => [7,6,4,3,8,2,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,1,6,3,7,2,4] => [5,1,7,4,8,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,5,6,3,7,2,4] => [5,3,7,4,8,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,6,5,4,2,8,3] => [8,6,5,4,3,1,2,7] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[7,1,4,2,6,5,8,3] => [3,6,5,8,2,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,3,5,6,8,2] => [4,1,5,6,3,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,4,1,5,6,8,3] => [5,3,6,8,1,4,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,6,4,1,2,8,3] => [1,8,5,6,4,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,7,6,1,5,2,8,3] => [8,1,6,4,5,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,6,4,5,2,8,3] => [4,8,6,5,3,1,2,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,8,3,6,5,7,2,4] => [7,5,3,4,8,6,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,1,6,5,7,2,4] => [7,5,1,4,8,3,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,5,4,1,6,2,3] => [7,8,5,4,3,1,6,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,1,5,4,3,7,8,2] => [5,4,3,6,1,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,6,4,2,1,8,3] => [5,2,8,6,4,3,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,3,2,6,5,7,1,4] => [7,2,5,3,4,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,1,4,3,5,7,8,2] => [4,3,5,6,1,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,6,4,5,1,8,3] => [4,8,6,2,5,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,2,3,6,5,7,1,4] => [7,5,2,3,4,8,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,4,7,3,6,8,1,2] => [2,1,4,7,5,3,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,4,7,8,5,6,1,2] => [7,5,1,2,3,8,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,8,3,4,5,7,1,2] => [3,4,1,7,5,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,7,5,8,4,1,2] => [7,4,2,1,3,8,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,3,8,6,4,5,1,2] => [7,5,8,2,1,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,2,7,6,5,1,4,8] => [6,7,1,5,2,4,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,7,6,5,8,3,4] => [7,5,4,3,8,1,2,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,8,2,6,1,5,3,7] => [1,7,3,5,6,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,8,6,4,1,5,7] => [6,5,7,1,2,4,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,8,3,2,5,1,4,6] => [4,3,6,7,5,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,1,2,5,6,3,4] => [7,5,8,3,4,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,6,2,5,7,3,8] => [5,1,7,4,2,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,1,8,6,4,7,3,5] => [5,7,4,8,1,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,3,6,8,4,2,5] => [7,6,3,4,8,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,3,6,7,4,5,2] => [6,4,8,3,7,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,8,7,2,3,6,4] => [8,5,1,6,7,4,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,1,5,7,4,2,8,3] => [3,8,6,5,2,1,4,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,4,7,5,1,8,3,6] => [7,2,4,8,1,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,7,1,4,2,3,8] => [6,7,4,2,1,5,3,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,8,1,3,2,4,7] => [6,4,1,5,2,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,5,1,3,4,2,7] => [5,7,4,1,6,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,4,3,1,5,7,8] => [5,2,4,3,6,1,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,8,3,1,7,5,6] => [4,1,7,8,2,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,7,4,1,6,2,8] => [7,2,1,5,4,6,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,7,3,6,1,8,5] => [8,2,4,6,1,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,5,6,8,1,4,3,2] => [2,8,7,5,3,1,6,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[2,4,7,1,6,5,3,8] => [7,2,6,1,4,5,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,7,8,5,4,3,6] => [7,6,5,3,8,1,2,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,3,1,2,8,4,5,7] => [6,2,7,8,3,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,1,3,6,5,8,7] => [2,5,1,8,3,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,2,6,1,8,5,3,7] => [1,7,6,2,3,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,4,1,5,3,6,2] => [6,5,3,8,4,1,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,4,6,1,5,8,7,2] => [8,1,2,5,3,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,5,1,6,4,3,8,2] => [6,5,4,2,8,3,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,8,1,6,3,4,7,2] => [5,1,6,4,8,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,7,5,2,3,4] => [6,7,1,8,5,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,1,8,5,3,2,4] => [7,6,8,5,3,2,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,6,1,7,4,8,2,3] => [1,7,5,4,2,8,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,6,1,5,7,4,2,8] => [4,7,1,6,3,2,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,1,7,4,8,3] => [2,6,5,1,3,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,7,5,6,4,8,2] => [4,6,1,5,3,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,6,4,8,3,2] => [1,5,4,3,8,7,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,7,8,5,3,4,2] => [6,3,1,8,7,5,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,1,8,6,5,4,2,3] => [7,8,6,5,4,2,1,3] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[2,6,5,7,3,4,8,1] => [5,3,2,6,1,4,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,6,4,7,5,8,2,3] => [7,3,2,5,4,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,7,4,6,8,2,5] => [7,4,5,2,3,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,5,6,3,2,8,1] => [3,6,1,5,4,2,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,6,5,7,2,4,3] => [8,6,4,3,7,2,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,2,7,6,8,3,4,5] => [6,7,4,3,8,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,8,6,4,2,7,5,1] => [4,8,5,1,3,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,1,6,2,4,5,3] => [6,8,5,7,3,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,4,1,7,2,6,5] => [3,8,1,6,7,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,7,1,8,3,2,6] => [2,1,7,6,8,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,4,1,8,5,2,6] => [3,7,1,6,8,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,7,1,4,8,3,2,5] => [4,7,6,1,8,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,1,8,4,5,3,6] => [5,7,6,8,1,3,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,1,7,3,6,5] => [8,3,2,6,7,4,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,2,1,8,5,3,6] => [7,3,2,6,8,4,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,5,4,2,8,3,6,7] => [6,3,2,7,8,1,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,4,3,1,5,8,2,7] => [5,3,2,7,1,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,6,8,4,5,2,1] => [5,3,2,8,1,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,7,6,8,5,4,2,3] => [7,3,2,8,6,5,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,4,8,6,7,3,5,1] => [6,4,8,2,7,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,8,4,7,2,1] => [3,5,1,8,2,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,3,8,6,7,2,1] => [2,1,5,8,3,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,2,5,8,7,3,4,1] => [3,6,1,8,7,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,5,8,7,4,2,3] => [3,7,1,8,6,5,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,8,6,7,4,3,2,1] => [3,8,1,7,6,5,4,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,8,7,5,6,3,2,1] => [4,8,7,1,6,5,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,2,1,6,3,5,8,7] => [8,2,1,5,3,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,2,4,1,3,6,5,7] => [7,2,4,3,5,6,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,2,4,1,3,8,5,7] => [7,2,3,8,4,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,6,1,3,5,8,7] => [8,2,1,4,5,3,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,6,4,3,5,8,7] => [4,8,1,5,2,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,1,4,3,5,8,7] => [4,8,1,3,5,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,4,1,3,5,8,7] => [8,4,1,3,5,2,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,6,2,1,3,5,8,7] => [3,1,8,4,5,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,2,1,3,5,8,7] => [3,8,4,2,5,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,4,2,1,6,3,5,7] => [3,6,2,7,4,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,2,1,8,3,5,7] => [3,6,2,7,1,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,2,1,8,3,5,7] => [3,1,6,7,2,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,6,4,3,8,5,7] => [4,7,1,3,8,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,8,4,3,6,5,7] => [4,7,1,5,6,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,8,1,4,3,6,5,7] => [4,7,1,3,5,6,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,8,2,1,3,6,5,7] => [3,1,7,4,5,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,2,1,6,3,5,7] => [3,1,6,7,4,5,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,2,1,4,3,5,7] => [3,6,4,5,1,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,2,1,4,3,5,7] => [3,6,4,5,7,2,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,1,6,4,8,3,5,7] => [4,6,1,3,7,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,6,4,1,8,3,5,7] => [6,3,7,1,2,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,4,8,1,3,5,7] => [5,3,6,1,2,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,6,2,8,1,3,5,7] => [3,1,5,6,2,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,6,1,8,3,5,7] => [6,1,7,2,3,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,4,1,6,3,5,7] => [6,2,3,7,4,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,1,6,8,3,5,7] => [6,2,1,4,7,8,3,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,1,6,3,8,5,7] => [7,2,1,4,8,3,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,3,6,8,5,7] => [2,5,1,7,8,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,1,4,3,8,6,5,7] => [7,1,3,6,8,2,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,4,1,3,8,6,5,7] => [2,7,1,6,8,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,1,3,8,6,5,7] => [7,2,1,6,8,3,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,8,6,3,5,7] => [6,1,7,2,5,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,1,8,4,3,5,7] => [6,2,5,7,1,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,1,6,4,3,5,7] => [6,2,5,7,3,4,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,6,1,4,3,5,7] => [6,2,4,5,7,3,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,2,8,1,4,3,5,7] => [6,2,4,5,1,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,1,6,3,5,7] => [6,1,7,2,4,5,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,8,1,3,6,5,7] => [7,2,1,4,5,6,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,4,8,1,3,6,5,7] => [2,7,1,4,5,6,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,1,8,3,6,5,7] => [2,7,1,5,6,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,4,8,3,6,5,7] => [7,1,3,5,6,8,2,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,4,8,6,3,5,7] => [6,7,1,3,5,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,2,8,4,1,3,5,7] => [5,6,2,4,1,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,6,4,1,3,5,7] => [5,6,2,4,7,3,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,2,1,3,5,7] => [5,4,2,6,7,3,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,8,2,1,3,5,7] => [5,4,2,6,1,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,6,8,2,1,3,5,7] => [1,5,4,6,2,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,8,4,1,3,5,7] => [5,6,4,1,2,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,8,1,4,3,5,7] => [6,4,5,1,2,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,6,1,8,4,3,5,7] => [6,5,7,1,2,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,8,4,3,5,7] => [6,5,1,3,7,8,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,8,6,4,3,5,7] => [6,5,7,1,4,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,8,1,6,4,3,5,7] => [6,5,7,1,3,4,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,6,4,1,3,5,7] => [5,6,4,7,1,3,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,6,2,1,3,5,7] => [1,5,4,6,7,3,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,4,2,1,3,5,7] => [5,4,6,3,1,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,4,3,8,1,7,6] => [3,8,2,1,4,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,2,4,1,5,3,8,7] => [5,2,3,8,4,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,3,6,1,5,2,8,7] => [2,1,5,8,4,3,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,3,5,2,8,1,7,6] => [2,1,3,8,4,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,7,2,6,5,8,1] => [1,6,2,4,5,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,8,2,6,1,7,5] => [1,8,2,4,6,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,8,1,7,2,6,5] => [1,8,2,6,7,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,8,1,5,2,7,6] => [2,1,5,8,4,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,8,3,4,2,7,6] => [4,5,1,8,6,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,8,1,3,2,7,6] => [5,2,1,8,4,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,1,5,4,8,3,7,6] => [3,8,1,4,6,7,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,7,6,8,3,4,2] => [1,6,4,3,8,7,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,3,7,6,8,1,5,2] => [8,1,6,2,4,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,6,5,8,1,7,2] => [1,4,2,3,8,6,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,5,4,7,2,8,1] => [4,2,3,1,6,5,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,4,8,1,7,2] => [4,2,3,1,8,6,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,6,3,8,4,5,2] => [6,8,4,3,7,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,6,5,8,1,3,2] => [8,2,6,4,3,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,1,8,4,6,3,7,5] => [8,4,6,1,5,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,4,6,1,3,2,7,5] => [5,2,8,4,6,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,6,3,7,2,5,4] => [8,4,6,3,7,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,5,1,7,2,6,4] => [8,2,6,3,7,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,5,2,6,1,7,4] => [8,2,4,3,6,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,5,2,6,4,8,1] => [6,2,4,3,5,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,3,5,1,7,4] => [8,4,6,2,5,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,1,5,3,6,4] => [8,6,2,4,5,7,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,4,1,5,3,7,6] => [5,2,3,8,4,6,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,4,1,7,3,6,5] => [3,8,2,6,7,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,4,3,6,1,7,5] => [3,8,2,4,6,5,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,8,4,6,1,7,5] => [8,1,4,6,2,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,6,8,1,5,4] => [8,6,1,4,2,3,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,7,1,8,5,6,4] => [6,8,1,7,2,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,5,8,1,7,4] => [4,1,3,8,2,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,5,7,2,4,3,8,1] => [6,4,2,1,5,3,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,8,2,4,1,7,3] => [8,4,2,1,6,5,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,8,2,4,1,5,3] => [8,4,6,5,2,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,8,1,5,2,4,3] => [8,6,7,4,2,1,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,1,7,3,8,5,6,4] => [6,8,7,1,4,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,3,2,8,5,6,4] => [6,8,3,7,2,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,5,6,2,4,3] => [8,6,4,7,5,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,1,8,2,6,4,5,3] => [6,8,7,4,5,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,8,1,5,4,6,3] => [6,5,8,2,4,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,4,5,3,8,1] => [4,6,5,2,1,3,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,7,2,6,3,8,1] => [2,1,6,4,5,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,2,6,1,7,3] => [2,1,8,4,6,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,1,7,2,4,3] => [8,6,2,1,7,4,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,1,6,5,8,3,7,4] => [4,3,8,1,6,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,5,7,4,8,1,3,2] => [2,1,8,6,4,3,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,7,1,8,3,4,2] => [6,2,1,8,7,4,3,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,7,4,8,3,5,2] => [4,6,3,1,8,7,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,7,1,8,3,6,2] => [2,1,6,8,7,4,3,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,4,6,3,8,1,7,2] => [2,1,4,3,8,6,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,3,1,5,4,6,7] => [3,6,1,4,5,7,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,5,3,4,7,1,8,6] => [8,3,1,2,4,6,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,8,3,5,7,6,1] => [8,2,4,5,7,1,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,5,3,1,8,6,7] => [4,2,1,3,7,8,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,1,8,5,3,6,7] => [6,2,1,5,7,8,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,4,1,3,8,2,6,7] => [4,6,2,1,7,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,4,8,3,2,6,7] => [3,6,5,1,7,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,8,4,3,2,6,7] => [2,6,5,4,7,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,5,4,3,2,6,7] => [6,5,4,3,7,8,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,7,4,3,8,5,2,6] => [3,7,4,6,2,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,3,8,4,2,6] => [2,7,4,6,3,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,4,7,8,3,2,6] => [7,3,1,6,4,8,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,5,3,7,4,6,2] => [6,3,8,4,7,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,4,7,6,5,2,1] => [8,7,3,6,1,5,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,6,8,5,3,7,4,2] => [2,8,5,4,7,6,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,1,7,4,3,5,2] => [6,5,1,8,7,3,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,8,1,7,3,5,2] => [2,6,1,8,7,4,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,8,7,1,5,2,3] => [2,7,1,8,5,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,6,4,1,3,8,2,5] => [5,7,3,8,4,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,5,6,3,2,8,4] => [5,3,8,6,4,1,2,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,2,1,7,8,5,3,6] => [1,7,6,2,4,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,8,4,3,7,5,1] => [4,2,8,5,7,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,4,8,3,7,5,1] => [8,3,5,1,7,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,7,3,1,4,8,5] => [4,8,5,1,2,6,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,7,1,8,3,5,4,6] => [7,5,6,8,1,3,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,1,7,3,5,6,4] => [6,8,2,5,7,3,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,8,2,6,3,1,5,4] => [5,8,3,6,1,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,2,6,3,5,4,1] => [8,5,7,3,6,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,7,1,5,6,2,4] => [7,2,5,8,4,6,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,1,2,7,5,3,4] => [7,8,6,3,4,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,6,2,7,4,5,3] => [6,8,7,4,2,3,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,5,2,6,7,4,3] => [5,3,8,7,4,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,1,8,6,7,4,3] => [5,1,8,7,2,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,5,7,6,4,3,1] => [8,3,7,6,5,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,7,8,5,2,6,4,3] => [8,7,5,4,2,6,1,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,8,1,6,4,2,5,3] => [8,6,5,7,3,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,6,1,5,3,2,4] => [7,6,8,4,1,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,8,6,1,5,2,4] => [7,8,2,5,1,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,1,5,3,4,2] => [6,8,7,4,5,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,1,6,4,5,3,2] => [5,8,7,6,3,4,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,1,7,5,6,4,3,2] => [4,8,7,6,5,2,3,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,8,6,7,5,4,3,2] => [3,8,7,6,5,4,1,2] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,3,5,7,2,8,4,1] => [3,8,2,1,5,4,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,2,7,4,3,1,6] => [7,6,3,2,5,8,4,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,5,3,6,1,2,8,7] => [1,3,2,8,5,4,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,1,4,7,3,2,6] => [4,7,6,2,8,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,7,1,4,2,6] => [3,7,5,2,6,8,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,1,8,5,7,4,3,6] => [4,7,6,8,1,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,3,7,1,8,4,2] => [8,3,2,1,7,5,4,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,1,4,7,8,3,2] => [4,5,2,1,8,7,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,4,7,5,8,1,2] => [7,2,3,1,5,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,4,6,8,3,7,2] => [3,4,1,6,8,7,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,1,3,5,8,6,2] => [1,8,4,5,7,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,6,4,1,7,2,5] => [7,4,8,1,5,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,1,2,5,7,6,4] => [8,1,5,7,3,4,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,7,5,4,1,3,6] => [6,7,5,4,8,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,2,6,4,1,3,5] => [6,7,3,5,8,4,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,8,6,7,4,2,1,5] => [7,6,5,1,3,8,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,7,6,8,4,2,3,1] => [6,1,3,2,8,7,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,3,7,8,2,4,6,1] => [5,1,6,2,3,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,6,2,1,8,4] => [5,1,8,2,6,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,6,2,8,7,1,4] => [7,2,1,3,8,4,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,8,6,4,2,1,3] => [7,1,6,2,8,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,6,7,5,4,8,1,3] => [2,7,5,4,1,3,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,1,7,4,5,8,2,3] => [4,7,5,3,1,8,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,3,5,1,8,2,4] => [3,7,1,8,5,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,1,6,7,5,8,3,4] => [3,7,5,1,4,8,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,3,6,1,2,8,4] => [3,1,8,5,6,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,7,2,5,6,8,3] => [5,1,6,8,4,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,4,7,1,6,5,8,3] => [6,2,5,8,1,4,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,2,1,8,7,5,3] => [8,1,7,3,2,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,4,6,2,7,8,5,1] => [5,1,2,3,8,4,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,6,1,2,5,8,7,3] => [1,8,5,7,3,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,1,4,8,2,7,3] => [4,1,8,6,2,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,3,1,8,7,2,4] => [3,1,7,2,8,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,6,4,7,1,8,2] => [2,4,1,3,8,6,5,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,2,7,1,6,5,4] => [8,7,1,3,5,6,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,2,7,6,1,5,4] => [8,6,7,1,3,5,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,2,7,6,5,1,4] => [7,8,6,1,3,5,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,2,7,6,5,4,1] => [8,7,6,1,3,5,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,8,7,2,6,5,3,1] => [8,7,1,4,6,5,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,8,7,2,6,5,1,3] => [7,8,1,4,6,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,7,2,6,1,5,3] => [8,1,4,6,7,5,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,8,7,2,1,6,5,3] => [8,1,4,7,5,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,7,3,1,6,5,2] => [4,8,1,7,5,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,7,3,2,1,6,5] => [5,1,4,8,6,7,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,7,3,2,6,1,5] => [5,1,4,7,8,6,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,8,7,3,2,6,5,1] => [4,8,1,5,7,6,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,7,3,6,2,1,5] => [4,7,1,6,8,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,7,3,6,1,5,2] => [4,8,1,6,7,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,7,3,6,5,2,1] => [8,4,7,1,6,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,7,6,3,4,2,1] => [5,8,1,7,6,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,8,7,6,3,1,4,2] => [8,1,6,5,7,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,7,6,3,2,4,1] => [6,1,5,8,7,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,7,6,2,4,3,1] => [8,1,5,7,6,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,7,6,4,2,3,1] => [6,8,1,7,5,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,8,7,6,4,2,1,3] => [7,1,6,8,5,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,7,6,4,1,3,2] => [8,1,6,7,5,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,7,6,4,3,1,2] => [7,8,1,6,5,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,3,4,2,1,6,5,8] => [2,4,3,7,5,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,2,6,4,1,8] => [7,2,4,3,6,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,5,2,7,4,8,1] => [6,2,4,3,1,5,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,1,5,6,4,3,8] => [4,7,2,6,3,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,1,6,4,2,8] => [7,2,6,4,3,5,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,5,6,1,3,2,8] => [2,7,5,3,6,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,4,6,7,3,8,2,5] => [5,2,3,7,4,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,5,7,3,1,8,2] => [2,3,1,8,6,5,4,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,5,7,1,3,8,2] => [2,6,3,1,8,5,4,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,1,5,7,4,8,3] => [4,6,2,5,1,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,1,5,7,4,8,6] => [1,8,2,4,6,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,6,7,3,8,5,2] => [3,8,2,5,4,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,1,6,7,8,4,3] => [4,5,1,8,2,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,1,7,8,4,2] => [5,2,1,3,8,7,4,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,4,6,7,1,8,3,2] => [2,1,3,8,7,5,4,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,4,5,7,2,1,8,3] => [2,5,3,1,8,6,4,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,7,2,8,3,1] => [2,1,3,8,5,4,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,6,2,7,8,4,1] => [5,2,1,3,8,4,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,6,2,7,8,1,4] => [7,2,1,4,3,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,5,2,7,1,8,4] => [8,2,4,3,1,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,4,2,1,7,8,5] => [2,4,3,6,1,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,1,2,7,8,6] => [2,6,3,1,8,4,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,6,2,7,8,1,5] => [1,7,2,4,3,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,6,2,7,8,5,1] => [1,5,2,3,8,4,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,6,2,7,8,5,4] => [5,3,8,2,7,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,6,7,2,8,5,3] => [3,8,2,7,5,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,4,6,7,2,8,5,1] => [3,8,1,2,5,4,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,1,5,7,3,8,6] => [8,2,1,4,6,3,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,6,7,8,3,5] => [4,1,7,2,5,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,6,1,7,8,2,5] => [1,7,2,5,3,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,7,1,8,5,2] => [3,8,1,2,7,5,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,1,7,8,5,2] => [1,5,2,3,8,7,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,2,1,6,7,8,5,3] => [4,1,5,8,2,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,6,1,7,8,5,4] => [5,3,8,1,2,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,6,7,1,8,5,3] => [3,8,2,7,1,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,3,6,2,5,7,8] => [3,2,5,6,1,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,3,7,2,5,6,8] => [3,2,5,6,7,1,4,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,3,7,6,8,2,5] => [7,2,5,3,4,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,3,7,2,6,5,8] => [2,7,3,5,6,1,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,3,7,4,8,2,6] => [5,2,7,3,4,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,2,6,5,8,4,7] => [5,2,4,7,8,1,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,5,4,8,2,6,3,7] => [3,2,7,5,6,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,4,8,3,7,2,6] => [3,2,5,7,8,6,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,2,3,6,5,8,4,7] => [5,4,7,8,1,2,3,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,8,2,4,5,7,1,3] => [4,7,3,1,5,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,8,4,5,2,6,1] => [4,6,5,1,2,8,7,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,1,4,5,3,6,2] => [4,6,5,8,3,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,7,4,1,6,5,2] => [4,8,7,1,5,6,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,3,1,6,4,7,2] => [3,1,6,5,8,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,4,7,6,3,2] => [1,8,4,7,6,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,1,8,6,2,4,3] => [8,6,2,7,5,3,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,4,1,8,2,6,3,5] => [7,2,8,5,6,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,8,4,2,6,3,5] => [7,4,8,5,6,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,3,8,5,2,4,7] => [6,7,3,2,5,8,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,3,8,5,2,4,7] => [6,7,3,5,1,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,3,6,2,5,4] => [8,4,6,7,5,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,2,8,4,1,6,5,3] => [4,8,7,2,5,1,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,8,3,6,5,1,4] => [7,8,4,6,2,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,8,2,3,6,5,4] => [8,7,4,5,6,2,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,1,2,8,3,5,4,7] => [7,5,6,8,2,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,2,3,8,4,7,6] => [8,6,2,7,1,3,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,2,3,8,4,7,6] => [8,6,7,2,1,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,2,3,8,1,4,7,6] => [8,2,3,1,5,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,2,8,1,3,5,4,7] => [7,2,4,5,1,6,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,3,8,7,1,5,4] => [8,6,2,7,1,3,5,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,3,8,5,1,4,7] => [6,7,3,1,2,5,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,1,8,3,4,7,6] => [8,5,1,2,6,7,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,1,3,8,4,7,6] => [8,6,1,2,7,3,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,4,8,3,7,6,5] => [8,7,3,5,6,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,8,1,3,7,6,5] => [8,2,7,1,4,5,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,8,3,7,1,6,5] => [8,2,4,6,7,1,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,8,3,7,6,1,5] => [7,8,2,4,6,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,3,8,1,7,4,6] => [7,2,8,1,3,5,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,4,1,3,8,7,6] => [3,2,8,1,7,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,4,8,2,7,6] => [2,8,4,1,6,7,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,3,8,4,7,1,6] => [5,7,1,8,2,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,2,3,7,1,6,5] => [1,8,3,4,6,7,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,8,1,2,3,7,6,5] => [1,8,7,3,4,5,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,4,8,2,3,7,6,5] => [8,2,7,4,5,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,8,3,7,2,6,5] => [8,2,4,6,7,5,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,8,1,2,4,7,6] => [2,8,4,1,5,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,3,8,2,4,7,6] => [8,3,5,1,6,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,3,8,2,4,7,6] => [8,3,2,5,6,7,1,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,5,4,8,2,7,6,3] => [2,8,3,7,5,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,4,8,2,7,6,3] => [8,3,1,7,5,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,8,1,2,7,6,3] => [2,1,8,7,4,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,1,2,8,7,4,3] => [8,7,6,3,2,1,4,5] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[5,3,1,6,4,2,8,7] => [2,5,4,1,8,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,2,8,7,4,3] => [3,1,8,7,6,2,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,1,5,8,2,7,6,3] => [1,8,3,7,5,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,2,5,8,7,6,3] => [1,8,7,4,6,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,2,5,8,7,6,3] => [8,2,7,4,6,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,2,8,7,4,6] => [7,1,2,8,6,3,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,2,8,7,5,1,4] => [7,2,8,1,6,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,6,1,8,7,3,5] => [1,7,3,8,2,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,5,8,2,7,6] => [2,1,8,4,6,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,2,8,7,1,4,6] => [6,1,2,7,8,3,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,8,7,1,2,6,5] => [8,1,2,5,6,7,4,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,4,8,1,7,2,6,5] => [8,1,2,6,7,4,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,4,8,7,2,6,5] => [8,6,7,2,3,5,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,8,1,2,7,6,5] => [8,1,2,7,4,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,8,2,7,1,6,5] => [8,1,2,4,6,7,5,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,4,8,2,7,6,1,5] => [7,8,1,2,4,6,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,2,5,8,1,7,6,3] => [1,8,3,7,2,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,1,2,5,8,7,6] => [2,1,8,7,3,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,1,4,2,5,8,7,6] => [1,8,3,7,2,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,3,5,1,8,7,6,4] => [8,3,7,1,2,6,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,2,1,5,3,6,4] => [8,3,6,4,5,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,1,2,7,3,5,8] => [6,7,3,2,4,1,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,1,5,4,2,7,8] => [2,6,5,3,4,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,8,1,5,4,2,6,3] => [8,6,5,3,4,1,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,8,3,5,4,1,6,2] => [8,3,6,5,4,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,2,5,4,1,3,6] => [6,7,3,5,4,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,2,5,4,6,1,3] => [7,5,3,4,1,8,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,1,5,4,7,3,8] => [5,2,4,7,3,1,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,3,6,1,4,7,8,2] => [2,5,1,6,3,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,2,4,7,1,8] => [2,4,1,5,3,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,2,1,7,3,8,5] => [8,3,2,6,4,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,2,7,1,8,3,6,5] => [1,8,6,7,2,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,7,4,8,1,5] => [5,1,3,7,2,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,6,7,4,8,5,2] => [3,8,1,5,4,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,6,5,3,8,4,2] => [8,5,4,3,2,7,1,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,7,6,5,3,8,1,4] => [5,7,4,3,1,2,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,7,6,5,2,4,8,3] => [6,8,5,4,3,1,2,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,7,6,5,3,1,4,8] => [6,5,7,4,1,3,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,6,4,8,5,1,2] => [4,7,3,1,2,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,1,6,2,4,8,3,7] => [5,7,3,1,8,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,7,6,5,2,1,3,8] => [6,1,5,7,4,3,2,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,6,5,2,8,1,3] => [5,7,1,4,3,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,6,5,1,8,3,2] => [8,7,1,5,4,3,2,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,6,5,2,8,3,4] => [7,8,5,4,3,1,2,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,6,5,3,2,8,4] => [5,8,6,4,3,1,2,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[4,7,6,5,1,2,8,3] => [8,1,5,6,4,3,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,6,5,3,1,8,2] => [8,6,1,5,4,3,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,3,5,4,8,7,2] => [4,8,3,5,1,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,6,3,4,1,7,8] => [4,6,2,1,5,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,6,2,4,7,8,3] => [5,6,3,1,8,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,6,3,4,8,7,5] => [8,7,4,1,2,3,5,6] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,7,2,4,8,3,6,5] => [8,4,6,7,3,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,1,4,2,8,3,5,7] => [6,3,7,8,2,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,8,2,6,3,5,7] => [6,1,7,4,5,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,2,1,5,3,6,8] => [3,1,6,4,5,7,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,1,6,2,3,8,5] => [1,8,5,6,3,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,2,6,8,3,5,4] => [8,6,4,7,3,1,2,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,6,7,4,8,5,3] => [3,8,5,4,7,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,6,7,4,2,8,5] => [5,1,3,8,6,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,8,5,4,6,1,7] => [5,1,4,7,2,6,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,7,6,3,5,8,1,2] => [4,7,1,5,3,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,1,2,5,3,8,6] => [5,1,8,3,4,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,6,5,2,4,1,8] => [5,7,6,1,4,3,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,6,5,1,4,8,2] => [6,8,5,1,4,3,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,6,5,2,1,8,4] => [5,8,6,1,4,3,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,6,5,8,2,4,3] => [8,6,4,3,2,7,1,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[3,7,6,5,8,1,4,2] => [8,6,4,1,3,2,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,1,6,8,4,2,5,7] => [6,1,5,3,7,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,6,8,3,5,1,2] => [7,5,1,3,2,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,7,6,5,1,4,3,8] => [7,5,6,4,1,3,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,6,5,8,1,3,4] => [6,7,4,3,1,2,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,7,6,5,8,4,1,3] => [7,4,3,2,8,1,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,2,1,7,4,8,5] => [2,8,3,6,4,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,1,7,3,5,8,6] => [8,2,1,5,6,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,3,1,5,4,2,8,6] => [2,5,4,8,3,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,1,5,2,7,6,3] => [4,2,8,7,3,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,2,5,1,3,7,6,4] => [8,7,2,4,3,5,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,7,2,1,5,8,6] => [2,1,4,8,5,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,2,5,3,1,8,6] => [1,5,3,4,8,6,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,5,4,1,3,8,6] => [8,5,4,1,3,6,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,5,4,3,2,1,8,6] => [5,4,3,2,8,6,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,5,3,2,1,7,6,4] => [3,8,4,2,7,5,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,1,8,4,3,7] => [7,3,6,2,1,8,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,3,2,8,1,5,7] => [1,4,3,6,2,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,4,3,2,8,1,6] => [1,5,4,3,7,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,3,6,4,8,1,5] => [5,7,3,4,1,2,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,7,5,3,8,1,4] => [5,7,4,2,1,3,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,8,5,3,6,4,2] => [8,5,4,7,6,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,8,1,6,2,7,4,3] => [1,8,7,5,3,4,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,6,2,3,7,5,4] => [8,7,4,5,3,6,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,6,3,2,7,5,4] => [8,4,7,5,3,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,3,2,7,1,6,4] => [3,1,8,4,6,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,1,6,5,4,2] => [8,3,7,6,4,5,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,2,6,1,5,4,3] => [8,7,3,5,6,4,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,8,5,7,4,3,6,2] => [3,6,5,8,7,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,5,7,2,4,6,3] => [6,3,8,5,7,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,6,1,7,2,5,4] => [8,6,7,1,4,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,5,6,1,4,3] => [8,6,4,7,2,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,7,5,8,2,1,4] => [7,6,2,1,4,3,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,7,2,6,8,4,1,5] => [7,6,1,3,4,2,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,5,8,1,4,2,7] => [7,5,1,3,2,6,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,5,8,4,1,3,7] => [6,3,2,7,1,5,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,4,8,3,2,1,7] => [3,2,1,7,6,5,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,4,3,7,2,1,6,5] => [3,2,5,8,6,7,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,4,7,1,3,6,5] => [3,8,2,5,6,7,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,2,5,8,1,4,3,7] => [7,5,2,3,1,6,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,6,8,2,1,5,7] => [1,6,2,5,3,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,5,1,8,4,2,7] => [7,2,6,3,1,8,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,1,5,7,3,6,2] => [4,2,6,8,7,3,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,2,5,8,3,1,7] => [4,2,7,3,1,6,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,1,6,8,2,3,7] => [6,4,2,1,7,8,3,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,5,2,1,7,8,3,4] => [7,3,5,2,1,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,7,4,8,5,2,1] => [8,4,2,1,3,7,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,7,2,5,8,6,3,1] => [8,1,4,7,3,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,1,8,4,7,5,2] => [8,2,5,1,7,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,8,7,3,5,1] => [2,6,1,8,7,3,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,3,8,7,4,1,2] => [7,2,1,8,3,6,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,3,7,6,4,2,1] => [2,8,7,3,6,5,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,4,8,1,7,6,2,3] => [2,1,7,8,6,4,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,2,8,1,7,3,6,4] => [8,6,1,7,2,4,5,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,8,2,1,7,5,3] => [2,8,4,1,7,5,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,8,1,4,7,5,2] => [8,5,1,2,7,4,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,3,8,1,6,4,2] => [1,8,3,7,5,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,7,8,1,5,3,2] => [8,2,1,7,5,3,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,7,8,5,2,4,1] => [6,3,1,8,2,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,5,8,7,1,3,6,4] => [2,8,5,6,7,1,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,8,7,2,1,6,4] => [5,1,8,2,6,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,7,6,1,5,4,2] => [8,7,2,5,6,4,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,2,7,6,5,1,4,3] => [8,6,7,5,2,4,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,8,7,6,2,1,5] => [7,1,6,8,2,5,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,3,8,6,5,1,2] => [7,8,1,3,2,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,6,4,3,2,1] => [8,2,1,7,6,5,4,3] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[5,8,7,3,6,4,2,1] => [8,1,4,7,6,5,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,8,7,6,2,5,3,1] => [8,5,7,1,6,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,6,5,1,4,2] => [8,6,7,5,1,4,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,6,5,4,1,3] => [7,8,6,5,4,1,3,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,6,5,1,2,4,8,7] => [8,1,4,5,3,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,7,5,8,2,4,1,6] => [5,3,7,1,6,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,5,7,2,4,1,6] => [5,3,7,1,6,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,7,8,4,3,2,6] => [1,7,6,5,3,8,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,2,6,4,3,8,7] => [5,4,8,2,1,3,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,1,2,5,4,3,8,7] => [5,4,8,2,3,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,6,5,3,8,7] => [5,4,1,8,2,3,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,1,5,7,8,3,2,6] => [1,7,3,6,4,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,5,8,7,3,2,6] => [1,7,3,6,8,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,1,7,4,8,2,3,6] => [6,4,1,7,3,8,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,3,8,1,4,2,6] => [3,7,5,2,6,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,1,8,4,7,2,3,6] => [6,4,1,7,8,5,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,1,2,3,7,5,8,4] => [6,5,8,2,3,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,1,2,3,8,6,5,4] => [8,7,6,2,3,4,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,8,1,4,3,7,2,5] => [5,4,7,1,8,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,2,4,1,6,5] => [4,3,5,8,6,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,7,3,4,8,6,5] => [8,7,1,4,5,2,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,8,3,2,4,1,6,5] => [4,3,5,8,6,1,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,1,4,3,8,2,5] => [5,4,7,1,8,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,2,3,6,7,5,4] => [5,8,7,2,3,4,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,1,2,3,6,8,5,4] => [5,8,7,2,3,4,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,2,3,8,5,6,4] => [6,8,7,2,3,4,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,2,3,7,5,6,4] => [6,8,7,2,3,4,5,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,2,3,6,5,7,4] => [6,5,8,2,3,4,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,1,8,5,4,3,2,6] => [7,6,5,4,8,2,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,8,2,6,3,4,1,5] => [5,7,3,6,1,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,2,7,3,4,1,5] => [5,7,3,1,6,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,2,8,3,4,1,5] => [5,7,3,1,6,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,1,4,2,6,5] => [5,8,1,4,6,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,8,1,4,2,7,5] => [5,8,1,4,2,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,7,1,4,2,8,5] => [5,8,1,4,2,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,2,8,3,1,4,5] => [6,3,5,7,2,1,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,2,7,3,1,4,5] => [6,3,5,7,2,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,7,5,4,3,2,6] => [7,6,5,4,8,2,3,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,7,4,5,3,2,6] => [4,7,6,5,8,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,3,7,1,4,2,6] => [3,1,7,5,6,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,1,7,3,4,6,8,5] => [6,8,1,4,5,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,7,3,2,4,1,8,5] => [4,3,5,1,8,6,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,2,4,3,6,1,5] => [5,3,4,7,8,6,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,1,2,3,8,7,4,5] => [7,8,6,2,3,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,3,7,8,6,4] => [5,8,7,2,1,3,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,1,2,3,8,7,6,4] => [8,7,6,2,1,3,4,5] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,1,2,3,8,6,7,4] => [6,8,7,2,1,3,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,1,2,3,5,8,7,4] => [8,5,7,2,3,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,6,2,4,3,1,7,5] => [5,3,4,8,6,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,3,2,4,8,1,5] => [4,3,5,7,2,1,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,6,3,4,8,7,5] => [8,7,1,4,2,3,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,6,3,2,4,7,1,5] => [4,3,5,7,2,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,1,2,3,6,8,7,4] => [8,5,7,2,1,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,8,1,2,6,3,5,4] => [8,6,7,3,4,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,8,5,4,7,3,6] => [5,4,7,8,6,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,8,5,4,2,7,6] => [5,4,8,2,6,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,6,8,4,7,1,5] => [5,3,7,8,1,2,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,3,6,8,4,7,5,2] => [3,8,5,7,2,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,8,1,7,3,6,5] => [8,2,6,7,1,4,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,2,6,8,4,5,7,3] => [5,3,6,8,7,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,5,1,2,4,3,6,8] => [6,3,4,5,2,7,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,6,1,5,2,3,8] => [6,2,7,4,5,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,4,2,6,3,5,8] => [6,3,7,2,4,5,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,1,4,7,2,3,5] => [6,4,7,1,8,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,6,4,2,8,3,5,7] => [6,3,7,2,8,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,8,5,4,2,7] => [7,6,3,2,5,8,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,8,1,7,3,5,4,2] => [8,5,1,7,6,3,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,3,6,5,4,2,8] => [7,6,3,5,2,4,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,1,6,5,4,2,8] => [7,2,6,5,3,4,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,3,6,5,1,4,8] => [6,7,2,3,5,4,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,2,3,6,5,4,8] => [7,6,2,3,4,5,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,6,2,3,8,5,4,7] => [7,6,8,3,1,2,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,8,2,7,6,3,4] => [7,1,8,6,4,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,8,1,7,3,5,4] => [8,6,7,2,1,4,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,2,1,7,4,3,5] => [7,3,6,1,8,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,4,1,2,8,5,7] => [7,1,3,8,4,2,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,6,3,8,5,4,7] => [7,6,1,3,8,2,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,8,7,6,5,1,3] => [7,8,6,2,5,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,3,8,7,1,6,4] => [2,8,6,7,1,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,8,7,1,4,2,6] => [2,7,1,5,6,8,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,3,8,4,1,7,6,2] => [4,1,8,2,7,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,7,6,3,5,1] => [6,8,1,7,5,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,8,7,6,5,3,1] => [8,7,1,6,5,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,1,8,7,6,5,3,2] => [8,7,1,6,5,4,2,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,3,8,7,6,5,1,2] => [7,8,1,6,2,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,1,8,7,2,5,4] => [8,2,6,1,7,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,3,7,6,1,4,2] => [1,8,3,6,7,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,1,3,8,7,6,2,4] => [7,1,8,6,3,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,8,4,7,2,6,3] => [4,1,8,6,7,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,5,1,2,4,7,3] => [6,8,4,1,5,3,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,1,2,4,8,7] => [8,4,3,1,5,2,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,6,2,4,3,1,8,7] => [5,3,1,4,2,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,1,2,4,3,8,7] => [5,8,3,1,4,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,8,1,7,2,3,6] => [1,6,2,7,8,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,2,5,8,7,4,6] => [7,8,2,4,6,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,5,1,8,7,2,6,4] => [2,8,1,6,7,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,1,2,8,5,7] => [2,1,7,8,4,3,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,2,8,7,1,3,6] => [1,6,2,7,8,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,8,7,6,2,1,5] => [7,6,8,1,2,5,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,1,4,8,7,6,2,5] => [7,8,1,6,3,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,8,7,6,5,1,2] => [7,8,6,1,2,5,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,3,4,8,7,6,2,5] => [7,8,6,2,3,5,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,4,8,7,6,2,5,1] => [6,8,7,1,2,5,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,2,5,8,7,4,6,1] => [6,8,1,3,7,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,1,3,5,8,7,4,6] => [7,8,1,4,6,2,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,7,5,8,6,4,3] => [8,4,3,7,6,1,2,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,1,4,8,2,6,5,3] => [8,3,7,5,6,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,1,3,7,5,2,4] => [7,8,4,1,6,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,1,2,6,5,4] => [8,7,1,4,5,2,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,3,7,8,2,6,5,4] => [8,7,5,2,3,6,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,3,7,8,1,6,5,4] => [8,7,5,1,2,3,6,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,7,8,1,3,6,5,4] => [8,7,4,5,1,2,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,2,6,7,3,5,4] => [8,6,4,7,2,3,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,2,6,7,5,3,4] => [7,4,8,6,2,3,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,2,5,7,1,3,6,4] => [8,5,2,3,6,7,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,8,1,6,7,3,5,4] => [8,6,4,7,1,3,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,8,3,7,1,5,4] => [8,4,2,6,7,1,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,6,4,7,1,5,3] => [4,8,6,3,7,1,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,3,4,1,7,5,2] => [3,4,1,8,7,5,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,3,7,4,1,5,2] => [8,3,1,6,5,7,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,6,8,3,7,5,1,4] => [7,2,8,4,6,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,5,7,1,6,3,4] => [7,3,8,2,5,6,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,7,2,3,6,1,5] => [4,2,5,7,8,6,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,5,7,4,2,6,1,3] => [5,2,7,4,8,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,5,7,4,1,6,2] => [3,8,2,6,5,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,3,5,7,1,6,4] => [4,8,2,3,6,7,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,7,1,4,6,2,3,5] => [6,4,7,8,3,5,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,7,1,3,6,2,5] => [5,2,7,8,4,6,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,6,8,3,7,2,5,4] => [8,4,2,6,7,5,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,3,5,7,1,2,6,4] => [8,2,5,3,6,7,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,7,1,3,6,2,4] => [5,1,7,8,4,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,5,1,4,7,2,6,3] => [4,8,6,2,7,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,4,6,8,2,7,5,3] => [3,8,2,7,5,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,6,3,1,7,4,2] => [4,2,8,7,5,3,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,2,8,1,7,4,3] => [1,8,7,3,2,5,6,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,8,7,3,6,1,2,4] => [1,6,4,7,8,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,3,5,7,1,6,2,4] => [7,2,3,8,5,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,6,8,3,7,5,2,4] => [7,2,8,4,6,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,8,2,7,5,1,4] => [7,8,2,1,4,6,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,4,2,7,1,5,3] => [8,4,3,1,6,7,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,6,4,7,3,1,5,2] => [3,8,6,5,2,7,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,4,2,5,7,1,6,3] => [4,2,8,3,6,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,4,5,2,6,1,3] => [5,3,7,4,8,6,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,7,2,3,6,1,4] => [4,1,5,7,8,6,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[1,3,2,8,5,4,7,6] => [5,8,2,6,7,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,8,5,3,7,1,6] => [1,5,4,7,8,2,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,1,8,4,3,7,6] => [5,8,2,1,6,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,2,8,4,3,7,5,1] => [4,8,5,1,7,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,8,4,3,1,6,5] => [5,4,8,2,6,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,4,8,2,7,5,1] => [8,2,3,1,5,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,4,1,8,2,7,6] => [2,3,1,8,6,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,4,5,2,3,7,6] => [3,8,5,2,4,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,5,4,3,2,7,6] => [5,4,3,8,2,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,5,4,2,8,1,7,6] => [3,1,2,8,4,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,2,8,7,1,6] => [1,3,2,7,8,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,3,2,8,7,5,1] => [2,8,3,1,7,4,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,3,2,1,7,8,4] => [4,3,6,2,1,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,3,2,7,8,4,1] => [3,1,5,2,8,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,4,2,7,8,1,5] => [3,7,1,4,2,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,6,4,3,7,2,5] => [5,4,7,3,8,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,4,1,3,6,5,8] => [7,4,1,3,5,6,2,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,7,4,2,6,1,5,8] => [4,1,3,6,7,5,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,7,3,2,6,5,8] => [4,1,7,5,6,2,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,3,2,6,4,8,1] => [3,1,6,4,5,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,3,2,5,4,1,8] => [3,7,4,1,6,5,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,5,6,1,3,4,8] => [5,6,3,7,1,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,5,7,1,3,8,4] => [8,5,3,1,2,6,4,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,6,5,7,2,8,1,3] => [5,1,3,2,7,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,4,7,2,8,3,1] => [1,3,2,8,5,4,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,4,1,7,2,8,3] => [8,6,4,3,2,1,5,7] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[7,5,4,6,2,1,8,3] => [5,3,2,8,6,4,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,4,5,7,1,8,2,3] => [2,7,3,1,8,5,4,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,1,7,8,2,3] => [2,1,7,5,3,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,5,6,7,2,3,4] => [6,3,7,4,8,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,6,8,7,1,2,5] => [6,1,2,3,7,8,5,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,3,1,6,8,7,2,5] => [2,1,4,7,8,6,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,6,8,7,2,4,1] => [3,1,6,8,2,7,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,3,5,1,8,7,2,4] => [7,2,3,1,8,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,8,6,2,1,4] => [3,7,2,6,1,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,8,5,6,3,1,4] => [7,6,4,8,2,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,2,8,5,1,7,3,4] => [7,8,5,2,1,4,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,1,8,6,7,3,5] => [1,7,5,8,2,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,2,8,6,7,4,5] => [7,5,8,2,6,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,8,6,7,1,4,5] => [6,7,4,8,1,2,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,2,6,7,4,5] => [7,3,5,8,2,4,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,8,7,1,6,5,4] => [8,7,5,6,1,2,4,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,2,8,7,6,1,5,3] => [8,1,6,7,5,2,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,1,8,6,5,4,3] => [8,7,6,2,5,3,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,3,6,1,8,5,4,2] => [8,7,2,6,4,3,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,3,7,8,6,4,1,2] => [1,7,3,8,2,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,7,8,6,1,5,2] => [8,6,1,2,3,7,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,5,7,6,2,4,3] => [3,8,6,7,5,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,5,7,6,8,1,4,2] => [8,2,6,1,4,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,7,6,8,3,1,2] => [7,1,2,4,3,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,1,7,6,8,3,2] => [2,1,5,4,8,7,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,7,5,8,3,2,1] => [4,2,1,3,8,7,6,5] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,4,6,5,1,8,3,2] => [8,2,7,5,4,3,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,4,3,1,8,2] => [2,8,6,5,4,3,1,7] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[6,5,1,7,4,3,8,2] => [6,5,4,2,1,8,3,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[4,6,7,5,3,8,1,2] => [2,7,1,5,4,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,7,5,1,4,8,2] => [6,2,8,1,5,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,6,7,5,4,2,3] => [7,3,8,6,5,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,7,6,5,4,3,2] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[3,7,6,5,1,4,2,8] => [7,5,6,1,4,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,6,5,3,1,2,8] => [6,7,1,5,4,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,4,3,1,5,7,2] => [6,4,3,8,5,2,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,1,5,2,7,3] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,5,1,3,2,7,4] => [5,8,4,6,3,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,3,1,7,2,4,5] => [6,3,7,8,4,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,3,1,5,2,4,6] => [6,3,7,4,5,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,1,7,2,4,6,8] => [5,2,6,1,7,3,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,7,1,2,4,5,3,6] => [5,7,3,4,6,8,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,5,1,2,6,7,3,4] => [7,5,8,3,2,4,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,1,6,4,2,7,3] => [8,6,5,3,2,4,7,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,5,1,3,6,4,7,2] => [6,4,5,2,8,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,2,5,7,3,4] => [7,5,8,3,4,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,2,7,4,3,5] => [7,6,8,3,4,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,2,5,4,3,6] => [7,6,3,4,5,8,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,1,4,2,3,8,6,7] => [7,3,8,2,1,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,4,2,7,3,6,8] => [6,3,7,2,1,4,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,1,5,8,2,6,3,4] => [7,3,8,5,6,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,8,1,2,4,6,3] => [6,1,8,4,5,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,1,3,4,6,2] => [5,1,6,8,4,2,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,1,7,3,4,6,2] => [5,1,6,8,7,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,1,5,7,2,4,6,3] => [6,3,8,5,7,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,2,7,6,3,5] => [7,2,8,6,3,4,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,1,2,8,7,5,3,4] => [7,8,6,5,2,1,3,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,1,2,4,8,7,5,3] => [8,7,4,6,2,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,1,8,4,6,7,5,2] => [5,8,1,4,7,6,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,7,6,4,8,5,2] => [8,5,1,4,3,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,2,4,6,8,5,3] => [5,8,4,7,2,3,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,2,6,8,5,3,4] => [7,4,8,6,2,3,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,2,7,8,5,3,4] => [7,4,8,6,2,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,2,7,4,8,5,3] => [8,5,4,7,2,1,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,1,6,4,7,8,5,2] => [5,1,3,8,4,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,1,3,8,4,6,2] => [6,1,8,4,7,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,8,4,2,6,3] => [1,8,6,5,7,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,1,7,4,5,2,6,3] => [4,8,6,5,7,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,7,5,3,2,6,4] => [5,8,6,4,7,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,4,2,3,8,6,5,7] => [2,7,6,8,1,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,2,3,8,5,7,6] => [2,8,6,7,1,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,8,1,7,2,4,6,3] => [6,1,8,5,7,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,3,4,7,6,2] => [8,4,1,5,7,3,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,1,8,6,4,7,5,2] => [8,5,1,4,7,6,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,1,2,6,7,4,5,3] => [6,4,8,7,2,3,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,1,2,8,7,3,5,4] => [8,6,7,5,2,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,2,3,5,8,4,7,6] => [8,4,6,7,1,2,3,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,5,8,6,4,7] => [7,4,6,8,1,2,3,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,1,2,8,3,6,5,4] => [8,7,5,6,2,3,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,2,8,6,4,5,3] => [6,8,7,5,2,3,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,1,7,8,4,6,5,2] => [8,5,1,3,7,6,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,1,8,7,6,4,5,2] => [6,8,7,1,5,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,1,2,7,4,6,5,3] => [8,5,7,6,2,3,4,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,2,7,3,6,5,4] => [8,7,5,6,2,3,4,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,3,5,8,7,4,6] => [7,8,4,6,1,2,3,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,6,8,5,4,7] => [4,7,6,8,1,2,3,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,8,5,6,3,1,4,2] => [8,6,5,3,1,7,4,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,8,5,3,6,1,2,4] => [6,4,7,3,1,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,3,1,4,2,8] => [7,5,4,2,6,3,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,8,3,1,4,2,6] => [7,5,4,2,6,1,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,8,5,3,1,4,2,6] => [7,5,4,6,3,1,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,5,3,1,6,2,4] => [7,4,8,5,3,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,5,3,1,6,4,2] => [4,8,7,5,3,1,6,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,8,5,3,6,4,1,2] => [4,7,3,1,8,6,5,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,5,3,4,1,6,2] => [4,8,6,5,3,1,7,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,8,5,3,1,4,6,2] => [6,4,8,5,3,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,3,8,1,2,6,4] => [3,8,5,2,6,1,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,3,4,1,6,2] => [4,2,8,6,5,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,8,3,4,6,1,2] => [4,2,7,5,1,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,3,4,1,8,2] => [4,2,8,6,5,3,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,3,1,4,8,2] => [6,4,2,8,5,3,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,6,3,1,2,8,4] => [8,5,4,2,6,3,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,3,6,1,2,8,4] => [3,8,5,2,6,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,1,4,2,6,8] => [6,4,3,5,2,7,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,3,1,6,4,8,2] => [3,6,5,2,8,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,6,1,4,8,2] => [3,6,2,8,5,4,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,6,4,1,8,2] => [8,3,2,6,5,4,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,3,6,4,8,1,2] => [7,3,2,5,4,1,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,3,8,4,6,1,2] => [7,3,2,5,1,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,3,8,1,4,6,2] => [3,6,2,8,5,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,3,1,8,4,6,2] => [3,6,2,8,7,4,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,1,8,2,6,4] => [3,8,6,2,7,4,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,1,8,2,4,6] => [6,3,7,2,8,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,3,1,8,4,2,6] => [3,7,6,2,8,4,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,1,8,6,2,4] => [3,7,2,8,6,4,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,8,1,6,4,2] => [8,3,2,7,5,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,3,8,6,4,1,2] => [7,2,8,3,1,6,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,3,6,4,1,2] => [4,2,7,1,8,6,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,5,8,3,6,1,4,2] => [4,2,8,6,1,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,3,1,6,4,2] => [4,2,8,7,5,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,8,3,1,6,2,4] => [7,4,2,8,5,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,3,6,1,4,2,8] => [3,7,5,2,6,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,6,4,1,2,8] => [3,6,2,7,5,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,8,4,1,2,6] => [3,6,2,7,5,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,8,6,3,1,2,4] => [6,2,7,5,1,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,6,3,1,4,2] => [2,8,6,5,1,7,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,5,8,6,3,4,1,2] => [2,7,5,1,8,6,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,6,8,3,1,4,2] => [2,8,6,5,3,1,7,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,6,3,8,1,2,4] => [6,4,2,7,3,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,3,4,1,6,2,8] => [3,7,5,4,2,6,1,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,5,3,4,1,8,2,6] => [3,7,4,2,8,5,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,3,1,8,2,4] => [7,4,2,8,5,3,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,6,3,1,8,4,2] => [4,2,8,7,5,3,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,6,3,8,1,4,2] => [4,2,8,6,3,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,6,3,8,4,1,2] => [4,2,7,3,1,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,3,6,8,4,1,2] => [7,3,2,4,1,8,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,3,6,8,1,4,2] => [8,3,2,6,4,1,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,3,6,1,8,4,2] => [8,3,2,7,5,4,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,3,1,6,8,4,2] => [3,5,2,8,7,4,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,1,6,8,2,4] => [3,7,5,2,8,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,1,4,8,2,6] => [5,3,7,2,8,4,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,3,1,4,6,2,8] => [5,3,7,4,2,6,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,1,2,6,4,8] => [7,4,3,5,2,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,3,1,2,8,4,6] => [7,3,8,4,2,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,1,4,8,6,2] => [3,8,5,2,7,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,4,1,8,6,2] => [3,4,2,8,7,5,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,4,8,1,6,2] => [3,4,2,8,6,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,3,4,8,6,1,2] => [3,4,2,7,1,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,3,4,6,1,8,2] => [3,4,2,8,6,5,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,3,4,1,6,8,2] => [3,6,4,2,8,5,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,3,1,4,6,8,2] => [5,3,6,2,8,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,3,1,2,6,8,4] => [6,3,8,4,2,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,1,2,4,8,6] => [8,4,3,5,2,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,2,5,4,1,8,7] => [5,1,3,4,2,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,2,8,4,7,6,1] => [2,8,1,5,7,3,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,7,3,2,8,6,1] => [2,1,4,8,5,3,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,3,2,7,6,1] => [2,1,4,8,5,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,4,5,3,2,1,8,7] => [2,5,4,3,1,8,6,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,3,2,6,4,1,8,7] => [2,5,3,1,4,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,7,6,3,8,5,2,1] => [8,4,1,3,2,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,6,3,7,5,2,1] => [8,4,1,3,7,6,5,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,8,5,3,2,7,6,1] => [4,1,3,8,5,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,4,3,2,7,6,1] => [1,4,3,8,5,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,2,8,4,7,6,1] => [8,2,1,5,7,3,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,5,8,4,7,6,3] => [8,3,5,7,1,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,2,7,4,8,6,1] => [8,2,1,5,3,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,5,3,2,8,6,1] => [4,1,3,8,5,2,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,3,6,5,2,1] => [8,4,1,2,7,6,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,6,8,3,7,5,2,1] => [2,8,1,4,7,6,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,6,4,3,8,5,2,1] => [3,8,4,2,1,7,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,1,8,6,7,5,4,3] => [4,8,7,6,1,5,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,3,2,6,7,5,4,1] => [4,8,2,7,3,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,4,3,7,5,2,1] => [3,8,4,2,7,6,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,7,6,4,3,2,1] => [8,2,7,6,5,4,3,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,4,5,3,2,7,6,1] => [2,4,3,8,5,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,7,3,6,5,2,1] => [8,2,4,7,6,5,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,4,6,3,7,5,2,1] => [8,2,4,3,7,6,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,6,3,8,5,2,1] => [8,2,4,3,1,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,7,2,6,8,5,4,1] => [4,8,7,1,3,2,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,2,6,7,5,4,1] => [4,8,7,1,3,6,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,2,5,4,7,6,1] => [4,8,1,3,5,7,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,7,2,8,6,5,4,1] => [8,7,6,1,3,2,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,2,8,7,5,4,1] => [2,8,7,1,6,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,7,3,8,5,2,1] => [8,2,1,4,3,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,8,3,7,5,2,1] => [8,2,1,4,7,6,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,4,8,3,6,5,2,1] => [8,2,4,1,7,6,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,5,3,2,8,6,1] => [2,4,3,8,5,1,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,4,3,2,8,6,1] => [4,3,2,8,5,1,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,1,7,5,4,8,6,3] => [4,8,5,1,3,7,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,4,3,6,5,2,1] => [3,8,4,1,7,6,5,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,8,4,3,7,5,2,1] => [3,1,8,4,7,6,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,3,2,8,7,5,4,1] => [8,7,2,1,6,3,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,2,7,8,5,4,1] => [4,8,2,1,7,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,4,3,8,5,2,1] => [3,1,8,4,2,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,8,3,5,7,1,2] => [4,1,2,7,5,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,5,8,2,4,7,1,6] => [4,1,2,5,7,8,6,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,5,2,8,3,1,6,7] => [1,6,3,2,5,7,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,5,8,3,7,1,6] => [3,1,5,7,8,2,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,1,6,8,4,7,3,5] => [5,3,7,8,1,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,6,8,4,7,1,2] => [3,1,7,2,5,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,6,5,8,2,4,7,3] => [6,3,2,8,5,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,8,3,2,1,6,7] => [2,1,6,5,4,7,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,3,7,2,6,1,8] => [3,2,1,5,7,6,4,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,3,6,2,7,5,1,8] => [1,7,2,4,3,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,3,2,1,8,5,7] => [1,4,3,7,2,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,3,2,5,8,6] => [4,1,8,5,6,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,7,8,2,6,5] => [1,8,2,6,4,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,1,4,8,2,6,3] => [4,8,6,2,7,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,8,7,1,4,2,6,3] => [1,8,6,4,5,7,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,3,5,1,2,7,6,4] => [8,2,7,4,3,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,4,3,5,2,7,6] => [4,3,5,8,6,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,3,1,5,2,8,7] => [1,5,3,8,4,2,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,7,3,6,5,2,1,8] => [7,1,3,6,5,4,2,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,8,7,4,2,5,3] => [2,8,6,5,7,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,8,7,5,3,1,2] => [7,1,8,2,6,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,4,3,8,5,1,2] => [4,3,7,2,1,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,7,6,2,8,4,5,3] => [6,8,7,4,3,1,2,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,1,3,2,6,8,5,4] => [5,8,3,7,2,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,2,7,4,8,6] => [8,3,2,6,1,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,3,2,1,8,5,4,7] => [2,7,3,6,1,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,3,2,7,4,1,8] => [3,7,4,2,1,6,5,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,2,6,3,7,4,1,8] => [7,4,2,1,3,6,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,8,5,3,1,6,4,7] => [4,7,5,1,3,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,1,7,3,8,5,4,6] => [7,6,8,1,4,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,3,7,8,5,4] => [5,8,7,3,1,2,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,7,2,8,4,5,3] => [6,2,8,7,4,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,7,1,8,2,4,6,3] => [6,1,8,5,7,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,2,7,8,3,6,4] => [8,6,4,1,7,2,3,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,4,1,7,8,6,3,5] => [7,2,4,8,1,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,7,3,8,5,6] => [7,1,8,2,5,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,2,8,4,3,1,5,7] => [6,5,2,4,1,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,3,2,1,8,4,5,6] => [3,2,6,7,8,4,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,8,3,2,5,6,1,4] => [3,7,4,5,1,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,1,2,4,5,3] => [6,8,4,5,7,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,2,8,7,5,1,4,6] => [6,7,1,5,8,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,6,5,2,1,4,7] => [6,2,5,7,4,3,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,6,2,5,3,1,8] => [2,7,4,6,5,3,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,7,1,5,6,2,4,3] => [8,6,4,7,3,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,7,3,6,4,1,2] => [4,2,7,8,6,5,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,3,7,5,4,1,2] => [7,1,8,3,6,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,1,6,7,5,2,4,3] => [8,6,3,7,5,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,1,2,6,4,3,7,5] => [5,8,6,2,3,4,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,1,7,5,4,3,6] => [7,6,5,8,1,3,4,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,1,8,6,4,3,7] => [2,7,6,1,5,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,2,6,4,3,1,8] => [1,7,6,3,5,4,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,7,5,4,3,1,8] => [7,6,5,2,1,4,3,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,1,8,6,5,4,3,7] => [7,6,5,1,4,8,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,2,7,5,4,3,8,6] => [5,4,8,6,1,2,3,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,2,4,3,8,6,5] => [8,4,7,3,5,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,2,8,3,6,5,4] => [8,7,5,6,3,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,8,6,5,2,4,3] => [8,6,2,7,5,4,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,3,8,6,5,4,1,2] => [7,8,6,2,1,5,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,8,7,6,5,2,4,3] => [8,6,7,5,4,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,1,7,3,2,6,5,4] => [8,4,7,5,6,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,4,3,2,8,7,6] => [3,8,4,1,7,2,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,6,3,2,1,7,4,5] => [4,3,7,8,5,2,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,5,4,1,7,2,3] => [7,8,5,4,3,2,6,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,6,5,1,7,3,2,4] => [7,6,8,4,3,2,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,1,7,4,3,2,5] => [7,6,5,8,3,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,4,3,7,2,5,8,6] => [2,8,3,5,6,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,4,8,3,1,6,2,5] => [2,7,4,8,5,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,4,1,8,2,6,3] => [1,8,6,3,7,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,3,1,8,7,5,2,6] => [1,7,2,6,8,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,8,6,3,5,2,7] => [5,7,2,6,4,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,4,8,7,1,2,6] => [3,1,2,6,7,8,5,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,6,3,8,7,2,5,4] => [8,6,2,7,3,5,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,2,4,8,7,5,3] => [8,7,4,2,6,1,3,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,1,6,4,8,5,2,3] => [4,7,3,8,6,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,3,6,8,5,1,2,4] => [6,7,2,3,1,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,3,7,2,6,8,4,5] => [7,5,8,2,4,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,5,2,8,1,4,7] => [4,6,1,3,2,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,5,7,2,4,1,8] => [5,3,1,2,7,6,4,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,2,6,3,8,1,5,7] => [4,1,6,2,3,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,6,7,3,5,1,8] => [1,5,3,7,2,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,4,7,5,1,8] => [7,1,3,4,2,6,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,5,2,1,8,6,4] => [8,2,4,3,7,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,6,4,3,1,5,2] => [8,6,5,4,7,3,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,7,6,4,1,5,2,3] => [7,8,5,4,6,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,8,7,2,1,4,6,5] => [4,8,1,5,6,7,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,8,2,7,1,5,4,6] => [7,1,3,5,6,8,4,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,6,8,2,1,5,4,7] => [4,7,1,5,2,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,1,5,7,3,6] => [5,1,7,8,2,4,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,5,7,6,1,4,2,3] => [7,2,8,5,6,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,1,7,3,5,4,2] => [8,5,7,6,3,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,1,7,5,4,2,3] => [7,8,6,5,3,2,4,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,6,2,8,7,3,5,4] => [8,6,2,7,5,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,8,2,4,6,7,3,5] => [7,4,5,8,3,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,5,4,7,1,3,6] => [6,4,3,7,8,1,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,5,6,4,3,1,8] => [3,7,6,2,5,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,2,5,7,8,4,3,6] => [7,3,6,4,8,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,7,4,8,6,3,5] => [7,8,4,3,6,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,7,8,3,6,5,4] => [8,7,5,3,6,1,2,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,1,8,6,3,5,4,2] => [8,5,7,6,4,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,8,7,4,6,3,2,5] => [4,7,6,8,5,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,5,8,3,4,6,2] => [5,3,6,8,7,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,1,6,4,2,3,5,8] => [5,6,4,7,2,3,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,4,5,2,3,8] => [6,4,7,5,2,3,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,2,3,8,5,4,6] => [7,6,8,2,3,4,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,5,4,3,8,2,6] => [5,4,3,7,8,2,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,5,4,6,2,8,3] => [4,3,8,6,2,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,6,4,3,8,2] => [3,6,5,4,8,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,6,5,4,3,2,8] => [7,6,5,4,2,3,1,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[8,6,2,5,4,3,7,1] => [6,5,3,4,2,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,5,1,7,4,3,6,8] => [6,5,1,2,7,3,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,1,4,7,8,6,3] => [5,2,8,1,4,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,1,4,8,6,2,7] => [7,1,4,2,6,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,2,4,7,8,1,5] => [7,1,3,4,2,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,6,2,4,8,7,1,3] => [4,1,7,2,8,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,7,2,3,1,4] => [5,2,1,7,6,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,7,8,2,4,1,3] => [5,2,1,7,3,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,3,8,1,2,7,5,6] => [2,1,7,8,4,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,6,4,1,7,2,5,8] => [6,1,3,7,4,2,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,8,7,1,5,4,2,6] => [7,6,1,4,5,8,3,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,3,1,7,6,8,2,5] => [1,7,2,5,4,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,4,1,6,2,8,5] => [3,8,1,6,4,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,7,2,5,3,6,1] => [2,6,4,5,8,7,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,7,8,1,2,3,6,5] => [1,8,4,5,6,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,6,4,1,3,8,5] => [8,5,2,4,6,3,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,5,3,7,2,6,1] => [2,4,3,6,8,7,5,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,7,5,2,8,1,6,3] => [8,1,4,3,6,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,4,3,1,5,7,8] => [5,4,1,3,6,2,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,3,8,4,1,5,2,6] => [7,2,5,4,6,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,3,6,1,5,7] => [4,1,6,7,2,5,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,5,7,2,1,3,4] => [6,5,1,7,3,8,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,5,3,1,4,2,7] => [7,5,4,1,6,3,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,5,4,2,8,1,7] => [5,4,1,3,2,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,6,4,7,2,5,3,8] => [3,7,5,2,6,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,4,8,2,5,3,7] => [3,7,5,2,6,8,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,6,5,8,2,4,3,7] => [7,5,3,2,6,8,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,6,8,2,4,3,7,5] => [5,8,4,2,6,7,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,6,2,4,7,3,8] => [5,2,7,4,1,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,6,2,4,7,8,3] => [5,2,6,3,8,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,8,2,4,7,3,6] => [5,2,7,8,4,6,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,7,2,4,8,3,6] => [5,2,7,8,4,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,7,2,4,3,8] => [7,5,3,2,6,1,4,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,6,7,2,4,3,8,5] => [5,8,4,2,6,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,6,7,2,4,8,3] => [2,6,3,8,5,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,8,2,4,6,7,3] => [5,2,6,8,4,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,7,2,4,6,8,3] => [5,2,6,8,4,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,7,8,3,2,4,6] => [2,6,5,7,3,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,8,3,2,4,6,7] => [5,4,2,6,7,8,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,7,3,4,2,8,6,5] => [8,3,4,7,5,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,2,4,3,8,7,5] => [8,4,7,3,1,2,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,8,7,3,2,4,6] => [2,6,5,7,8,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,2,3,5,8,7,6] => [2,8,7,1,3,4,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,6,5,2,3,8,7,4] => [8,7,4,3,1,2,5,6] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,7,4,2,8,6,5,3] => [8,3,7,6,4,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,6,5,2,8,4,3] => [8,7,5,4,3,1,2,6] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,7,5,2,8,4,3,6] => [7,6,3,8,4,1,2,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,5,6,2,8,3,4] => [7,3,8,5,4,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,5,8,3,2,4,7,6] => [4,2,8,5,6,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,5,2,3,7,4,8] => [7,4,5,3,1,2,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,5,2,3,7,8,4] => [6,8,4,3,1,2,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,8,4,2,3,7,5] => [8,5,4,2,6,7,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,7,3,5,2,8,4,6] => [7,3,4,8,5,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,4,2,3,7,8,5] => [6,3,8,4,1,2,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,4,2,3,7,5,8] => [7,4,3,5,1,2,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,7,3,2,4,8,6] => [4,2,8,5,6,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,4,2,8,5,3,6] => [3,7,6,8,4,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,4,2,3,8,5] => [8,5,4,2,6,1,3,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,6,4,2,3,8,5,7] => [7,3,8,4,1,2,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,6,4,2,8,5,3] => [4,8,7,5,3,1,2,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,5,2,8,6,4,3] => [3,8,7,6,4,1,2,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[3,7,5,6,1,4,8,2] => [6,3,8,1,5,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,1,4,2,7,5,3] => [4,8,7,3,5,2,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,1,4,3,5,8,2] => [5,4,6,1,8,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,1,4,3,5,8,2] => [5,4,6,8,3,2,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,5,4,1,6,7,8,2] => [5,1,3,2,6,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,4,7,6,5,8,2] => [6,1,5,3,4,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,7,4,3,5,8,2] => [5,4,6,3,1,8,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,6,4,3,5,8,2] => [5,4,6,3,8,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,1,3,7,2,5,6] => [4,6,2,7,8,3,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,1,3,8,2,5,6] => [4,1,6,7,8,3,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,4,1,3,8,2,5,6] => [4,6,2,7,8,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,3,1,2,8,5,6] => [1,7,3,8,4,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,8,1,2,6,5,3] => [8,1,7,4,5,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,4,2,7,5,3] => [4,8,7,3,1,5,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,6,4,2,7,5,3] => [4,8,7,5,3,6,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,8,1,3,7,2,5,6] => [4,1,6,7,8,3,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,7,1,3,6,2,5,4] => [8,4,6,7,3,5,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,5,7,3,2,1,4] => [1,7,6,5,3,8,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,8,4,3,7,2,5,6] => [4,3,6,7,8,5,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,8,3,4,7,6,1,5] => [7,8,3,4,6,1,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,4,6,8,2,1,5] => [7,3,6,1,4,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,3,7,8,6,1,5] => [7,2,4,8,1,3,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,7,6,8,3,2,1,4] => [7,1,6,5,3,2,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,5,3,4,8,6,1,7] => [7,3,1,2,4,6,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,7,5,4,8,2,1,6] => [4,3,7,1,6,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,4,3,8,2,5,7] => [4,3,6,7,1,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,7,3,8,2,5,6] => [4,1,6,7,3,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,3,4,7,6,1,5] => [7,8,2,3,4,6,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,2,3,4,8,6,1,7] => [7,2,3,1,4,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,5,6,3,8,1,4] => [5,3,7,4,1,2,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,7,2,6,3,8,1,4] => [5,1,7,3,4,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,6,8,4,1,3] => [1,7,4,8,3,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,5,6,8,4,1,3] => [3,7,4,8,2,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,3,8,5,6,1,7] => [5,1,7,2,3,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,3,8,7,6,1,4] => [7,1,8,6,2,3,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,2,3,7,5,6,1,4] => [7,5,8,2,3,6,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,1,8,3,7,2,5,4] => [8,4,6,1,7,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,4,8,5,2,1,6] => [7,3,6,1,5,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,8,6,3,2,1,4] => [2,7,6,5,1,8,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,7,3,2,1,4] => [2,1,7,6,5,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,7,6,3,2,1,4] => [2,7,6,5,8,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,7,5,8,6,2,1,4] => [3,7,6,1,2,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,7,3,6,2,5,4] => [8,4,6,7,5,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,7,5,3,2,1,4] => [1,7,6,5,8,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,7,6,8,3,4,1,2] => [7,1,5,3,2,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,7,6,8,4,5,1,2] => [7,5,3,1,2,8,6,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,5,4,7,6,8,2,3] => [2,7,3,5,4,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,4,6,5,8,2,3] => [7,3,5,4,2,8,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,4,6,5,8,1,2] => [7,3,5,1,4,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,4,6,5,7,1,2] => [7,3,5,1,4,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,4,7,5,8,1,2] => [7,3,1,2,5,4,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,6,2,7,5,8,3,4] => [7,5,4,2,8,1,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,6,4,8,5,7,2,3] => [7,3,2,5,8,6,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,4,6,5,7,2,3] => [7,3,5,4,8,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,5,4,8,6,7,2,3] => [2,7,3,5,8,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,1,5,4,6,2,3] => [7,5,4,8,3,1,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,1,5,2,4,3,6] => [7,5,6,3,4,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,2,6,5,7,3,4] => [7,5,4,8,3,6,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,2,8,5,6,3,4] => [7,5,8,6,3,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,2,6,5,8,3,4] => [7,5,4,8,3,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,5,2,7,6,8,3,4] => [2,7,5,4,8,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,6,8,2,5,3,4] => [7,8,5,3,2,6,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,6,8,4,5,2,3] => [7,5,3,2,8,6,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,8,5,6,1,3,2,4] => [7,5,6,3,1,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,6,7,1,3,2,4] => [1,7,5,6,3,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,3,2,7,6,8,4,5] => [7,5,2,4,8,1,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,7,6,8,2,4,3,5] => [7,5,6,3,2,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,1,6,2,4,3,5] => [7,5,6,8,3,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,6,7,2,4,3,5] => [7,5,6,3,8,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,8,1,4,2,6,3,5] => [7,4,8,3,5,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,1,4,2,5,3,6] => [7,5,3,4,6,1,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,1,2,4,3,5,6] => [6,3,4,5,7,1,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,6,5,8,7,1,2] => [1,4,2,3,7,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,6,5,7,8,1,2] => [4,1,2,3,7,5,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,6,2,3,8,7,4,5] => [7,8,6,3,1,2,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,7,4,3,2,8,6,5] => [3,8,4,7,5,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,7,6,2,5,8,3] => [6,8,2,5,4,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,6,5,3,7,4,8] => [7,5,4,1,2,3,6,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,6,5,3,7,8,4] => [6,4,3,8,1,2,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,3,7,5,2,6,8,4] => [6,4,8,2,5,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,4,3,7,8,5] => [4,6,3,8,1,2,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,4,3,2,5,8,6,7] => [3,2,7,8,1,4,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,5,3,2,4,8,6,7] => [3,7,2,8,1,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,7,5,3,2,8,6,4] => [8,4,3,7,5,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,5,3,2,4,8,7,6] => [8,3,2,7,1,4,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,6,5,4,3,1,8,2] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[6,8,5,4,3,2,1,7] => [1,7,6,5,4,3,8,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,6,5,4,8,1,7,2] => [4,3,1,2,8,6,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,1,4,3,2,7,5] => [5,4,8,3,1,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,5,4,3,7,1,6] => [5,4,3,7,8,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,6,1,4,3,8,5,2] => [4,8,5,7,3,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,6,5,8,3,1,7,2] => [3,1,2,8,6,5,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,5,1,3,2,7,4] => [5,8,4,1,6,3,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,5,4,7,2,1,6] => [4,3,7,1,6,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,6,5,1,3,8,4,2] => [8,5,7,4,3,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,6,3,4,8,7,5,2] => [8,7,3,2,4,6,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,4,5,8,3,7,6,2] => [8,2,3,5,7,6,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,8,5,4,1,2,7,3] => [8,5,1,6,4,3,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,8,5,2,3,7,6,4] => [8,7,4,3,5,6,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,8,2,4,3,7,1,5] => [5,3,4,1,7,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,3,4,7,2,6,5] => [8,3,4,6,7,5,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,5,8,4,3,2,1,6] => [2,7,6,5,4,1,8,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,1,7,6,8,4,3,2] => [1,4,3,8,7,6,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,8,5,2,7,1,3] => [2,5,1,7,4,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,6,8,2,1,7,3] => [2,1,5,3,8,6,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,7,5,6,1,3,2] => [8,6,1,4,7,5,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,7,5,1,8,4,3,6] => [7,6,3,8,1,4,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,8,7,4,2,3,6] => [6,1,7,5,8,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,6,7,4,3,5,1] => [6,5,3,8,7,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,6,5,2,4,1,8,7] => [4,5,1,3,2,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,3,6,4,1,8,7] => [5,2,3,1,4,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,4,5,3,2,8,7] => [3,5,4,8,2,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,8,7,1,4,6,5,2] => [8,5,7,1,4,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,1,2,4,3,8,6] => [5,8,3,1,4,6,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,7,6,8,2,5,1] => [6,1,4,2,3,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,2,6,8,5,7,1,4] => [3,7,1,5,8,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,7,2,4,8,5,1] => [8,2,4,1,5,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,8,6,5,2,1,3] => [7,2,6,1,8,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,1,8,2,5,4,3,6] => [7,6,4,5,8,2,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,4,7,5,1,8,2] => [8,3,1,2,6,5,4,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,7,1,2,5,6,3] => [6,2,8,4,5,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,3,8,2,5,6,1] => [3,2,5,6,1,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,4,1,5,8,2,7,3] => [4,2,8,6,1,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,5,8,7,4,6,3] => [6,8,3,7,1,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,5,6,7,4,1,2] => [3,7,2,4,8,6,5,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,4,3,2,8,5,6,1] => [3,2,6,8,4,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,3,1,5,6,2] => [6,1,4,8,5,2,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,4,7,2,8,5,6,1] => [6,8,1,2,4,3,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,1,4,8,5,6,2] => [6,8,1,4,7,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,3,4,8,5,6,1] => [6,8,2,3,4,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,1,8,5,2,7,4,3] => [8,7,5,4,1,6,2,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,1,8,3,6,7,5,4] => [5,8,7,1,4,6,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,2,6,4,1,5,3] => [8,6,3,5,1,7,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,6,3,5,8,7,1,4] => [4,7,2,8,1,3,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,6,2,1,5,8,4,3] => [5,8,3,7,4,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,1,6,8,4,7,2,3] => [3,1,7,5,8,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,8,7,5,2,1,4] => [2,7,6,8,1,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,8,6,5,2,3,1] => [6,8,2,1,7,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,1,6,4,7,3,2,5] => [4,7,6,3,8,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,4,1,2,3,8,5] => [8,4,5,3,6,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,4,8,5,3,7,1] => [6,3,2,5,8,1,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,7,1,5,2,3,6] => [6,2,7,4,5,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,7,5,6,1,2,3] => [6,7,1,4,8,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,1,4,8,7,3,5,2] => [6,8,3,1,7,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,8,4,3,5,6,1] => [5,4,6,8,2,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,3,4,1,5,6,2] => [3,6,4,8,5,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,1,8,7,2,5,6,4] => [6,8,1,5,7,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,3,7,1,5,6,4] => [6,8,2,3,5,7,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,4,8,7,1,3,2,5] => [2,7,5,1,6,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,4,6,7,3,1,5] => [7,3,6,4,8,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,4,2,1,3,7,5] => [4,8,5,3,1,6,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,1,3,2,8,5,7] => [4,7,2,8,3,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,3,8,6,2,1,4,7] => [6,2,1,5,7,4,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,5,2,8,3,1,7] => [7,1,4,3,2,6,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,7,5,1,8,2,6] => [1,7,2,4,8,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,8,5,2,7,4,3,1] => [1,8,7,4,3,6,5,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,2,5,4,3,8,1,6] => [5,4,2,3,7,1,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,1,2,4,5,3,7] => [5,7,3,4,1,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,6,2,4,5,3,7] => [5,7,4,6,2,3,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,6,1,2,5,4,7] => [7,1,4,5,6,3,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,1,6,2,3,4,7] => [5,6,1,7,3,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,6,5,8,2,3,7] => [1,6,4,3,7,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,6,8,4,5,1,7] => [5,3,7,1,2,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,5,4,3,8,1,6] => [5,4,3,7,1,2,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,8,7,4,2,5,1] => [6,5,1,8,2,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,4,3,7,6,1,2] => [1,4,3,7,8,6,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,4,3,1,6,2,5] => [7,4,3,8,5,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,1,5,3,4,8,2,6] => [4,5,3,7,8,2,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,6,1,7,4,5,3] => [6,8,7,4,1,3,5,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,8,6,5,7,2,1,3] => [7,6,1,4,3,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,7,6,8,2,1,5,3] => [5,8,1,6,3,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,8,7,4,3,5,2] => [6,5,1,8,7,4,2,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,1,3,8,5,6,7,2] => [5,1,6,8,3,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,8,4,3,1,7,2] => [2,1,8,6,5,4,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,6,5,2,8,1,7,3] => [8,1,4,3,2,6,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,8,1,3,6,4,5] => [7,8,2,4,5,1,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,5,2,3,6,7,4] => [6,8,4,3,5,7,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,8,3,2,5,6,7,1] => [1,4,3,5,6,8,7,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,1,2,7,8,6,4,5] => [7,1,4,8,6,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,5,1,8,2,4,3,6] => [7,5,6,2,8,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,8,1,2,4,7,6] => [8,1,4,2,5,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,5,8,1,2,3,7,6] => [1,8,4,2,5,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,4,1,2,6,7,5] => [6,1,3,8,4,5,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,8,2,3,6,7,1] => [4,2,1,5,6,8,7,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,8,3,6,7,4,1,2] => [1,7,3,4,8,6,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,3,1,6,8,4,7,5] => [4,8,1,2,6,7,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,4,1,8,6,3,7,5] => [8,2,6,1,5,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,4,1,3,6,2,7,5] => [8,4,2,6,3,5,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,5,1,7,2,3,4] => [6,7,1,8,4,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,6,5,8,2,1,4] => [7,6,2,4,3,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,3,5,8,2,1,4] => [7,3,6,4,2,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,5,8,7,3,6,1,2] => [7,1,2,5,8,6,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,5,2,8,6,1,7,4] => [2,8,1,6,3,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,5,6,1,4,7,3] => [6,3,8,2,5,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,5,4,1,2,7,3] => [8,5,6,4,3,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,6,1,8,3,7,5,4] => [8,7,5,1,2,6,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,1,5,3,8,7,2,4] => [7,3,8,4,1,6,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,6,3,7,1,5,4] => [8,4,6,3,7,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,1,5,8,2,3,4] => [6,7,4,8,3,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,2,4,8,1,7,3] => [4,8,3,2,1,6,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,1,4,8,2,6,7,3] => [3,6,1,8,5,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,2,5,1,6,7,3] => [1,6,3,4,8,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,8,5,2,6,7,1] => [5,1,2,4,6,8,7,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,2,1,8,5,6,7,3] => [5,1,6,8,2,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,4,8,2,6,7,3] => [3,2,6,8,5,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,4,5,1,6,7,3] => [3,6,4,8,1,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,8,3,7,6,1,2] => [2,1,4,7,8,6,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,1,5,8,6,2,7,4] => [8,1,3,6,5,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,3,4,8,5,1,7,2] => [8,2,3,1,6,5,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,4,8,1,6,7,2] => [2,3,1,6,8,5,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,1,2,8,3,5,4] => [8,6,7,3,4,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,8,4,1,2,6,3] => [8,5,2,6,4,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,8,4,6,1,3,2] => [2,8,6,4,1,7,5,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,4,8,7,1,3,2] => [3,2,1,8,6,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,4,8,1,2,7,3] => [8,5,3,2,1,6,7,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,5,1,6,8,2,4,3] => [8,6,4,2,7,3,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,4,1,8,2,7,3] => [8,6,3,2,1,7,4,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,5,4,7,1,2,8,3] => [8,5,3,2,1,6,4,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,5,4,7,8,1,3,2] => [3,2,1,8,6,4,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,3,7,1,4,2,8] => [3,7,5,2,1,6,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,3,1,8,4,2,7] => [3,7,6,2,1,8,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,5,1,4,8,3,2,6] => [4,7,6,2,8,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,1,6,4,7,3,5,2] => [4,6,3,8,7,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,3,7,1,4,8,2] => [3,6,2,1,8,5,4,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,3,1,5,8,7,2] => [3,2,8,5,1,7,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,5,4,3,7,6,2] => [4,3,8,5,7,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,5,4,3,7,2,6] => [5,4,3,7,8,2,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,1,5,3,8,2,6] => [5,4,2,7,8,3,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,1,5,3,2,6,8] => [6,5,3,2,4,7,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,1,5,4,3,2,6,7] => [6,5,4,2,3,7,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,1,6,4,2,5,3,7] => [7,5,4,6,2,3,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,3,1,2,7,4,8] => [7,4,3,5,2,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,5,3,8,1,4,2,7] => [3,7,5,2,1,6,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,6,8,1,4,3,2,5] => [7,6,4,5,2,1,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,1,7,2,5,4,3,6] => [7,6,4,5,8,2,3,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,7,2,5,4,6,3] => [6,5,8,4,7,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,1,2,5,4,8,3] => [6,5,8,3,4,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,3,8,1,4,7,2] => [3,6,2,1,8,5,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,3,1,2,7,8,4] => [6,3,8,4,2,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,5,1,4,2,6,8,3] => [6,4,8,3,2,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,6,4,2,5,7,3] => [6,4,8,5,2,3,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,1,5,3,2,8,6] => [5,4,2,8,3,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,3,1,5,2,8,7] => [5,3,2,8,4,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,3,1,5,7,2,8] => [5,3,2,7,4,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,4,1,5,3,6,2,8] => [5,4,2,7,3,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,5,4,3,6,2,7] => [5,4,3,7,2,6,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,5,4,3,6,7,2] => [5,4,3,6,8,2,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,1,5,3,6,8,2] => [5,4,2,6,8,3,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,3,1,5,7,8,2] => [5,3,2,6,1,8,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,3,8,4,5,1,2] => [7,3,1,5,2,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,4,5,1,8,2,3] => [7,3,1,8,5,4,2,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,7,5,6,1,8,2,3] => [7,1,3,8,5,4,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,5,6,3,8,1,2] => [3,7,1,5,4,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,5,8,4,6,1,2] => [3,7,5,1,2,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,3,6,5,7,1,2] => [7,1,3,5,4,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,4,7,1,8,2,3] => [1,7,3,2,8,5,4,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,1,7,3,8,2,4] => [5,1,7,4,2,8,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,1,8,4,7,2,3] => [1,7,5,2,8,6,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,8,1,6,5,7,2,3] => [7,1,5,4,8,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,4,5,1,6,2,3] => [7,3,8,5,4,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,2,8,1,4,3,7] => [7,3,1,5,2,6,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,6,3,4,1,8,2,7] => [3,1,7,4,2,8,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,4,5,2,7,1,8] => [3,5,1,4,2,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,5,1,8,2,7] => [3,7,1,4,2,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,8,1,5,3,7] => [3,7,5,1,2,6,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,8,3,6,1,5,4,7] => [7,3,5,6,1,4,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,8,2,5,3,4,1,6] => [5,7,3,6,4,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,1,5,3,6,2,4] => [5,7,4,8,3,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,5,3,8,6,7,2,4] => [2,7,5,8,3,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,3,6,2,7,4,5] => [7,8,3,5,4,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,4,8,2,7,3,5] => [3,7,2,8,5,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,7,3,5,1,8] => [3,5,2,7,1,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,3,6,4,5,1,8] => [5,7,3,6,1,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,6,4,8,2,5] => [5,7,3,4,2,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,5,8,4,6,2,3] => [3,7,5,2,8,6,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,5,8,2,6,3,4] => [7,3,8,5,2,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,5,6,3,8,2,4] => [5,3,7,4,2,8,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,5,6,3,4,1,8] => [5,3,7,6,1,4,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,2,5,3,4,1,8] => [5,7,3,1,6,4,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,1,5,3,8,2,4] => [5,7,4,1,8,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,5,8,1,4,2,3] => [7,1,8,5,3,2,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,2,8,1,4,3,5] => [7,3,5,1,6,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,5,8,1,4,3,6] => [7,5,3,6,1,2,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,1,7,5,8,4,6] => [5,7,1,2,4,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,1,8,4,7,5,6] => [7,8,1,2,5,6,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,8,2,6,1,4,3,5] => [7,3,5,6,1,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,6,7,1,4,3,5] => [7,5,6,3,8,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,2,7,3,6,1,8] => [1,5,2,7,3,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,8,2,7,3,6] => [1,7,2,8,5,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,1,8,6,7,2,5] => [7,1,2,5,8,6,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,2,5,1,8,6,7] => [1,3,2,4,7,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,5,2,8,1,6,3,7] => [1,7,3,2,5,6,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,5,3,6,1,8,2,7] => [1,3,2,7,4,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,5,8,4,6,2,3] => [3,7,5,8,6,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,7,1,4,2,5,3] => [8,6,4,5,2,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,1,7,3,2,5,4] => [5,8,6,7,3,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,1,3,8,5,2,4] => [7,8,4,6,3,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,8,2,4,5,1,3] => [7,4,5,2,1,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,2,3,8,5,1,4] => [7,8,3,4,2,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,1,5,2,6,3,4] => [7,8,5,3,4,6,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,7,1,5,2,3,6,4] => [8,5,6,3,4,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,2,3,1,7,6,4] => [8,3,4,2,7,5,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,7,2,4,1,5,3] => [8,4,6,5,2,7,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,7,3,4,1,5,2] => [4,1,8,6,5,7,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,2,5,1,6,3,4] => [7,8,3,5,4,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,2,1,7,6,3,5] => [7,2,8,3,6,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,7,2,1,4,3,6] => [4,7,5,2,6,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,7,3,1,4,2,6] => [1,7,5,4,6,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,7,3,1,4,6,2] => [1,6,4,8,5,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,2,1,4,6,3] => [4,6,2,8,5,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,2,7,1,3,6,4] => [8,3,5,2,6,7,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,4,1,2,6,3,5] => [7,8,4,3,5,6,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,4,3,1,7,2,6,5] => [3,2,8,6,7,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,3,1,2,7,6,5] => [3,2,8,7,4,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,1,3,7,2,5,4] => [8,4,6,7,3,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,1,3,2,7,6,4] => [8,4,7,3,2,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,7,4,1,6,2,3] => [7,2,8,5,4,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,1,5,4,2,7,6,3] => [4,3,8,7,2,5,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,6,4,7,2,5,3] => [4,8,6,3,7,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,5,8,4,2,7,3] => [3,8,6,5,1,7,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,2,8,6,4,1,3,7] => [6,1,7,5,2,4,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,7,5,1,2,3,6] => [5,2,6,7,4,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,5,1,2,6,4] => [3,8,5,6,4,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,3,5,1,2,7] => [6,1,4,7,5,3,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,7,3,1,5,2,6] => [7,1,5,4,6,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,7,2,1,5,3,6] => [4,2,7,5,6,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,2,7,1,5,4,6] => [2,7,3,5,6,8,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,7,3,1,4,2,6,5] => [5,3,8,4,6,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,1,6,2,4,5] => [6,3,7,8,4,5,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,3,1,2,6,4,5] => [7,3,8,4,5,6,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,1,2,4,6,5] => [8,4,3,5,6,7,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,3,2,1,4,7,6,5] => [2,8,3,7,4,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,2,1,7,4,6,5] => [2,8,3,6,7,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,7,2,1,5,6,3] => [4,2,6,8,5,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,4,1,2,5,6] => [5,6,1,4,7,8,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,7,2,1,3,4,6,5] => [3,8,4,5,6,7,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,5,4,1,2,8,7] => [8,5,1,4,3,2,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,8,5,6,7,4,1,2] => [3,7,4,8,1,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,5,8,6,2,1,3] => [3,7,1,6,2,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,5,7,8,6,3,4,1] => [6,2,3,8,7,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,1,5,3,4,8,7] => [8,2,5,3,4,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,8,1,3,7,6,4,2] => [1,8,7,4,6,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,4,2,8,1,5,6] => [4,1,3,6,7,2,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,4,2,7,3,8,5,1] => [2,8,5,3,1,4,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,6,7,5,3,4,2] => [6,3,8,7,5,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,1,5,8,7,6,3,4] => [7,8,3,6,1,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,4,7,6,3,8,5] => [8,6,1,3,5,2,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,4,7,8,5,3,2,1] => [3,1,8,2,7,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,1,3,7,6,2,8,5] => [1,8,6,3,5,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,5,1,6,3,2,7,4] => [5,8,6,3,2,4,7,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,3,7,1,5,2,8,4] => [8,2,6,4,1,5,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,2,6,8,4,7,5,1] => [3,8,1,5,7,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,1,3,2,5,7] => [6,4,2,5,7,3,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,2,8,6,7,3,1,5] => [7,1,6,4,8,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,8,2,1,5,6] => [3,2,6,5,7,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,8,1,6,3,2] => [3,8,1,7,5,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,3,2,7,8,1,5] => [3,2,7,4,1,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,5,1,6,7,8,3] => [5,2,1,3,6,8,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,8,5,7,1,3,6] => [6,2,4,7,8,1,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,1,4,6,8,5,2] => [5,8,1,4,7,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,4,3,8,7,5,6,1] => [6,8,2,7,1,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,7,3,5,1,8,4] => [8,4,2,6,1,5,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,8,4,2,5,3,1] => [8,5,4,2,1,7,6,3] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,7,1,6,3,2,4] => [7,6,2,8,4,5,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,7,2,8,4,3,1] => [2,1,8,7,4,3,6,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,4,8,6,5,2,1,7] => [7,6,1,2,5,4,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,8,2,1,7,3,4] => [4,7,2,1,8,5,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,3,5,1,6,8,2] => [3,2,6,4,8,5,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,5,8,4,3,7,1] => [3,6,5,1,8,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,7,1,5,4,3,2] => [8,7,6,4,2,5,3,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[2,1,6,5,8,4,7,3] => [4,3,6,8,1,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,6,8,5,4,3,7] => [3,7,6,1,5,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,1,8,5,6,2,3,7] => [1,6,4,7,5,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,8,7,3,5,1] => [6,2,8,3,7,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,8,4,3,5,1,7] => [5,4,7,2,1,6,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,1,2,6,7,4,5] => [7,1,5,8,3,4,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,8,4,3,2,7,1,6] => [1,5,4,3,7,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,8,6,3,2,5,1] => [6,2,5,1,8,7,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,4,7,2,1,3,6] => [1,6,5,3,7,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,4,2,3,6,1,7] => [4,1,5,3,7,6,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,4,3,1,6,7] => [6,3,1,5,4,7,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,7,3,5,4,8,6] => [5,8,4,6,1,2,3,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,8,4,5,7,6] => [8,5,6,7,1,2,3,4] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,8,3,4,5,7,6] => [8,4,5,6,7,1,2,3] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,5,7,2,3,6,4,8] => [7,4,2,5,6,1,3,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,7,2,3,5,4,8,6] => [5,8,3,4,6,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,8,2,4,5,7,6] => [8,2,4,5,6,7,1,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,2,3,8,4,6,7,5] => [6,8,5,7,1,2,3,4] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,8,2,3,5,4,6,7] => [6,3,4,5,7,8,1,2] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,8,2,3,6,4,5] => [7,8,4,5,2,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,7,8,2,3,5,4] => [8,5,2,6,3,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,8,2,5,3,6,4] => [8,6,4,5,2,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,8,2,4,5,3,6] => [5,7,4,6,2,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,3,6,4,5,7] => [6,7,4,5,8,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,2,3,6,4,5,7] => [6,7,3,4,5,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,2,8,3,5,4,6,7] => [6,4,5,7,8,1,2,3] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,7,8,3,6,4,5] => [7,8,5,3,6,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,2,7,8,3,6,4] => [2,8,6,4,7,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,2,8,4,6,7,5] => [6,8,2,5,7,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,2,3,4,6,7,5] => [6,8,3,4,5,7,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,7,8,2,4,3,6,5] => [5,8,4,6,2,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,3,1,5,2,8,4] => [3,8,6,4,1,5,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,8,3,1,5,2,7,4] => [3,8,6,4,1,5,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,8,4,5,1,2,7,3] => [8,5,3,1,6,4,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,4,5,1,2,8,3] => [8,5,3,1,6,4,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,2,1,6,5,3,4,8] => [6,7,2,5,3,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,6,5,1,2,3,8] => [5,2,6,7,4,3,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,5,4,1,2,8,3] => [8,5,1,6,4,3,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,6,7,4,1,8,2,3] => [1,7,2,8,5,4,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,7,4,1,2,8,3] => [8,5,2,1,6,4,3,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,4,7,5,1,2,8,3] => [2,8,5,1,6,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,1,7,5,3,8,4] => [8,6,2,5,3,1,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,3,8,1,5,2,7,4] => [8,2,6,4,1,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,8,5,1,2,7,3] => [2,8,5,1,6,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,8,4,1,2,7,3] => [8,5,2,1,6,4,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,6,8,4,1,7,2,3] => [1,7,2,8,5,4,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,8,5,7,1,2,3] => [6,1,2,7,4,8,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,8,6,1,7,2,3] => [2,1,7,8,5,4,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,8,1,6,7,2,4] => [7,2,1,5,8,4,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,1,8,6,7,3,4] => [7,5,1,8,2,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,1,7,6,8,3,4] => [7,5,2,1,4,8,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,4,7,6,1,8,2,3] => [2,1,7,8,5,4,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,6,7,5,8,1,2,3] => [6,1,2,7,4,3,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,6,5,7,1,2,3] => [6,7,1,4,3,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,5,6,7,1,2,3] => [6,1,3,7,4,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,5,6,8,1,2,3] => [6,1,3,7,4,2,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,5,7,8,1,2,3] => [6,1,3,2,7,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,4,6,1,8,2,3] => [1,7,3,8,5,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,8,4,6,1,7,2,3] => [1,7,3,8,5,4,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,3,1,6,8,2,4] => [3,1,7,5,8,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,3,1,7,8,2,4] => [3,1,7,5,2,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,4,3,8,7,5] => [8,2,4,7,3,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,8,3,1,7,6,2,4] => [3,1,7,8,6,4,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,4,8,1,6,2,3] => [1,7,3,8,5,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,1,6,8,7,3,4] => [4,7,1,8,2,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,6,8,1,7,2,3] => [2,1,7,3,8,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,8,6,1,2,3] => [6,1,3,7,2,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,5,7,6,1,2,3] => [6,1,3,7,8,5,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,8,6,7,5,1,2,3] => [6,7,1,3,8,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,7,6,8,5,1,2,3] => [6,7,1,3,2,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,7,8,5,1,2,3] => [6,1,2,7,3,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,7,8,1,6,2,3] => [2,1,7,8,5,3,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,7,1,8,6,2,4] => [7,1,8,2,6,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,1,7,8,6,3,4] => [7,4,1,8,2,6,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,8,1,7,6,2,4] => [7,1,8,2,6,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,7,1,6,2,3] => [2,1,7,8,5,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,8,7,5,1,2,3] => [6,1,2,7,8,5,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,7,8,6,5,1,2,3] => [6,7,1,2,8,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,5,4,7,3,6,1,8] => [3,2,5,7,1,6,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,6,3,7,5,1,8] => [7,2,4,1,3,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,3,6,5,1,8] => [1,7,4,6,2,5,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,3,1,6,4,8,7] => [3,5,1,2,8,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,3,7,6,4,1,8] => [2,7,6,1,3,5,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,5,3,7,4,1,8] => [7,4,3,1,2,6,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,6,3,7,5,4,1,8] => [7,6,3,1,2,5,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,7,5,2,3,8,4,6] => [7,8,4,3,5,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,3,7,5,4,8,6] => [5,8,1,6,2,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,3,1,8,6,5,4,7] => [7,6,1,2,5,8,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,3,1,8,6,4,7] => [7,3,1,2,6,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,8,3,1,6,5,7] => [4,1,7,2,5,6,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,2,6,4,1,5,7] => [2,6,3,5,7,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,8,2,1,4,5,7] => [5,1,4,6,2,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,2,8,3,4,7,6] => [8,5,2,6,7,1,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,6,3,8,7,4,5] => [7,3,8,6,1,2,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,8,3,6,4,7,5] => [8,6,4,5,7,1,2,3] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,7,6,3,4,8,5] => [8,5,6,4,1,2,3,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,1,3,8,7,5,4,6] => [7,6,8,1,5,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,3,8,6,4,7,5] => [8,6,5,7,1,2,3,4] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,7,4,8,6,5] => [8,7,5,1,2,3,4,6] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,7,6,3,8,4,5] => [7,8,5,4,1,2,3,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,3,6,4,8,7,5] => [4,8,7,1,2,3,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,7,6,4,8,5] => [8,6,5,1,2,3,4,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,6,3,1,8,5,4,7] => [7,3,6,1,2,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,3,8,5,4,7,6] => [5,8,1,6,7,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,1,8,4,2,3,5,6] => [5,6,4,7,8,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,1,8,4,3,5,7,6] => [4,8,1,5,6,7,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,6,3,1,8,5,7] => [4,1,7,2,3,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,2,8,3,1,6,7] => [6,3,2,1,5,7,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[3,5,8,2,4,1,6,7] => [4,1,2,6,5,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,5,4,8,3,1,6,7] => [3,2,6,1,5,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,1,8,3,5,7,6] => [8,2,1,5,6,7,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,8,7,4,2,3,5,6] => [5,6,4,7,8,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,2,8,7,3,4,6] => [6,2,7,8,5,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,7,3,6,4,8,5] => [8,6,4,5,1,2,3,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,8,6,3,7,4,5] => [7,8,5,4,6,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,7,3,8,6,4,5] => [7,8,6,4,1,2,3,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,3,8,4,7,6,5] => [8,7,5,6,1,2,3,4] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,7,3,4,8,6,5] => [8,7,4,5,1,2,3,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,3,8,4,7,5] => [8,6,3,7,1,2,4,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,3,8,7,4,6] => [7,2,8,6,1,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,2,1,8,3,7,5,6] => [7,1,8,2,5,6,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,3,2,1,7,4,5,6] => [3,2,6,7,8,4,5,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,8,4,2,7,3,5,6] => [6,3,7,8,4,5,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,8,6,3,4,7,5] => [8,5,6,4,7,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,7,3,8,4,6,5] => [8,6,7,4,1,2,3,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,8,7,4,6,5] => [8,6,7,5,1,2,3,4] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,8,7,6,4,5] => [7,8,6,5,1,2,3,4] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[2,5,3,8,1,6,4,7] => [7,3,1,2,5,6,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,6,4,7,1,5,3,8] => [3,7,5,1,2,6,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,5,7,1,4,3,8] => [7,5,3,1,2,6,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,8,5,7,1,2,6,4] => [8,5,1,3,6,7,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,5,7,2,6,4,1] => [3,8,5,7,1,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,8,6,2,5,7,1] => [5,6,1,2,4,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,5,7,1,4,8,6,3] => [2,8,5,7,1,4,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,8,1,5,7,6,3] => [8,2,5,7,1,4,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,3,8,1,6,5,7] => [2,7,1,3,5,6,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,8,1,7,5,6,4,3] => [5,8,7,6,1,3,4,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,3,8,1,6,5,7,4] => [6,5,8,1,2,4,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,8,1,3,5,7,6] => [2,8,1,4,5,6,7,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,8,6,7,2,3,5,1] => [5,6,1,3,8,7,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,6,7,1,3,5,2] => [6,8,1,5,3,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,8,6,1,5,7,2] => [6,8,1,2,5,4,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,5,7,1,6,4,2] => [3,8,7,1,5,6,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,2,8,5,6,1,7,4] => [4,8,1,6,2,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,5,7,2,1,6,4] => [5,3,8,1,6,7,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,4,8,6,2,1,5,7] => [6,1,2,5,7,4,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,7,6,2,1,4,8] => [2,6,1,5,7,4,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,6,7,2,1,3,5] => [6,1,5,7,3,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,6,7,3,5,2,1] => [5,3,8,1,7,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,6,7,3,4,2,1] => [5,1,3,8,7,6,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,6,7,2,1,3,4] => [1,6,5,7,3,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,7,2,1,5,3] => [5,8,1,6,3,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,2,8,5,1,7,6] => [2,1,5,8,3,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,8,5,1,6,7,2] => [1,6,2,4,8,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,6,7,1,2,4,3] => [1,8,5,6,3,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,2,3,8,5,1,6,7] => [6,2,1,3,5,7,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,8,6,7,1,3,2,5] => [7,1,5,6,3,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,6,7,1,2,5,3] => [8,1,5,6,3,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,6,7,2,5,3,1] => [8,5,1,3,7,6,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,3,8,5,2,6,7,1] => [1,5,2,4,6,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,8,5,1,2,6,7] => [2,1,5,6,4,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,6,7,5,1,3,8] => [1,6,3,7,2,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,5,7,1,4,2,6] => [7,5,1,3,6,8,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,4,7,1,5,2,6] => [3,7,1,5,6,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,2,8,4,6,1,7] => [5,1,2,7,3,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,1,7,4,6,2,8] => [5,1,2,7,6,3,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,1,3,8,5,2,6,7] => [6,3,1,5,7,8,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,2,6,7,5,3,8] => [4,1,7,6,2,3,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,8,6,7,3,2,5,1] => [6,5,1,3,8,7,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,8,6,7,3,1,2,5] => [6,7,1,5,3,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,6,7,5,2,3,8] => [1,6,3,7,5,2,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,8,6,7,2,3,1,5] => [5,7,1,6,3,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,6,7,3,2,4,1] => [6,1,5,3,8,7,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,6,7,4,2,3,1] => [6,1,3,8,7,5,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,8,6,7,4,1,3,2] => [8,1,6,3,7,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,6,7,3,1,4,2] => [8,1,6,5,3,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,6,7,3,1,5,2] => [8,6,1,5,3,7,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,1,7,5,3,2,8,6] => [1,5,4,8,6,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,8,5,3,1,7,6] => [1,5,4,8,2,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,1,6,7,5,3,8] => [4,1,7,2,6,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,8,6,7,3,2,1,5] => [7,6,1,5,3,8,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,6,7,4,2,1,3] => [7,1,6,3,8,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,6,7,4,3,1,2] => [7,1,3,8,6,5,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,3,5,8,1,4,2,6] => [7,2,5,3,6,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,7,6,1,4,2,5] => [7,5,6,8,1,4,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,1,8,3,6,7,2,4] => [7,4,1,5,8,6,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,7,8,5,6,2,3] => [7,5,2,3,8,6,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,4,7,1,5,8,6,2] => [8,1,2,5,7,4,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,6,1,4,7,8,5,2] => [5,8,1,4,2,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,8,4,7,5,2,3] => [4,2,7,8,6,5,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,1,4,3,8,2,5] => [5,4,7,8,3,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,8,1,6,5,4,2,7] => [7,6,1,5,3,4,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,1,3,7,5,8,2,6] => [5,1,7,3,4,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,7,3,8,4,2,5] => [7,4,6,3,1,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,7,6,5,3,4,1] => [6,8,7,5,2,4,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,8,1,6,7,5,3,2] => [4,8,1,7,6,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,1,6,8,2,5,3] => [2,8,6,4,7,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,3,8,6,2,7,5,4] => [8,7,5,2,4,6,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,1,3,2,7,8,4,5] => [7,3,5,8,2,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,6,2,5,3,4,7] => [6,7,4,5,3,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,2,6,8,1,5,3] => [8,1,6,3,4,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,6,4,5,2,1] => [5,8,3,7,6,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[2,7,4,1,6,8,3,5] => [3,7,5,8,1,4,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,6,4,5,2,3,7] => [6,4,7,5,3,8,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,4,3,6,8,1,7] => [4,3,1,2,5,7,8,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,8,5,4,6,2,1,7] => [4,3,7,1,6,5,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,2,1,3,7,5,6] => [3,1,7,8,4,5,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,1,2,7,5,8,3] => [6,5,2,8,3,1,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,3,7,4,5,2,6,1] => [4,6,2,5,8,7,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,3,7,8,5,1,6,2] => [8,1,6,2,5,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,2,7,6,1,3] => [2,1,7,8,4,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,2,7,3,6,5,8,4] => [6,5,8,4,1,2,3,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,8,7,6,3,4,1,5] => [5,7,6,8,4,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,2,6,3,4,1,7] => [5,1,7,3,6,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,7,8,4,3,6,2] => [1,6,5,3,8,7,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,2,7,5,4,3,6,1] => [6,5,4,8,2,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,3,8,1,4,7,5,2] => [8,2,5,1,7,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,4,5,6,1,2,7] => [3,6,1,4,7,5,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,3,5,7,8,2,6] => [2,7,3,4,5,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,5,8,7,1,3,4,2] => [6,2,1,8,5,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,6,7,2,4,8,1,5] => [4,5,1,2,7,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,2,7,4,3,8,6] => [5,2,8,6,1,3,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,8,5,6,4,3,1,7] => [3,7,6,5,1,4,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,6,5,4,3,2,7] => [7,6,5,4,3,8,1,2] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,1,5,2,8,4,7,3] => [6,3,8,7,2,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,6,1,8,5,7,2,3] => [7,1,5,2,8,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,7,2,8,5,6,3] => [6,8,2,7,4,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,3,5,8,6,1,2,4] => [6,2,3,7,1,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,6,8,1,5,7,2,4] => [7,5,1,2,8,4,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,6,5,8,1,7,2] => [4,1,2,3,8,6,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,8,1,5,7,2,3,4] => [6,7,4,1,8,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,6,8,2,3,5,4] => [8,5,6,3,2,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,8,1,2,3,5,4] => [8,4,5,6,2,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,4,7,1,8,5,6,3] => [6,8,2,7,1,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,5,8,3,1,6,2] => [3,8,1,6,5,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,8,2,1,3,5,4] => [4,8,5,6,2,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,2,7,6,8,3,5,4] => [8,6,4,3,7,1,2,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[3,7,6,8,2,1,5,4] => [5,8,6,1,3,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,2,1,6,8,5,3] => [5,2,8,3,7,4,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,4,1,8,5,3,2] => [3,1,8,7,6,4,2,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,4,3,1,8,5,2] => [4,3,1,8,7,5,2,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,3,7,6,8,1,5,4] => [8,6,4,1,2,3,7,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,4,2,6,8,5,1,3] => [2,7,4,8,3,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,7,6,8,2,5,4] => [8,6,1,4,3,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,6,8,1,2,5,4] => [8,5,6,1,3,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,7,6,8,2,5,4] => [8,6,4,2,3,7,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,4,1,2,6,8,5,3] => [5,2,8,7,3,4,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,8,2,5,4,6,3] => [6,5,8,4,7,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,8,4,6,1,5,2] => [4,8,2,6,1,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,8,1,6,4,5,3] => [6,8,7,2,4,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,6,8,5,4,2,3] => [7,3,8,6,5,2,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,1,2,6,8,5,4,3] => [4,8,7,6,2,3,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,2,6,8,5,4,3] => [4,8,7,6,3,1,2,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,6,8,3,2,5,4] => [5,8,6,3,2,7,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,8,3,1,2,5,4] => [8,5,4,6,2,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,5,8,6,3,2,4] => [3,7,6,8,5,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,2,5,8,6,3,1,4] => [3,7,6,8,2,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,7,1,8,5,4,2] => [2,8,7,1,6,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,6,8,5,4,1,3] => [7,3,8,6,2,1,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,7,6,8,3,1,5,4] => [5,8,6,3,1,2,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,7,1,6,8,5,4,3] => [4,8,7,6,1,3,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,3,1,8,5,4,2] => [8,3,1,7,6,4,2,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,1,8,5,4,3,2] => [1,8,7,6,5,3,2,4] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,2,1,6,8,5,4,3] => [4,8,7,2,6,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,7,8,5,6,1,3,2] => [8,6,1,4,2,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,6,5,8,7,1,3,2] => [3,1,2,8,6,7,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,4,8,1,2,7,3] => [1,8,5,3,2,6,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,5,6,7,2,4,3] => [3,8,6,4,7,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,5,1,8,2,7,3] => [2,8,6,3,1,7,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,3,6,7,2,1,5,8] => [1,6,2,5,3,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,7,1,4,2,8] => [7,2,1,5,3,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,4,6,7,3,2,5] => [7,3,6,4,8,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,3,6,7,4,5,2] => [6,4,8,3,7,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,1,6,8,4,5,3] => [6,4,8,2,7,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,6,7,1,4,8,3] => [6,3,1,8,2,5,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,2,6,7,3,1,8,5] => [1,5,3,8,2,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,4,1,5,8,7,3] => [3,8,2,5,1,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,1,5,4,8,6,3] => [4,8,2,5,7,3,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,1,4,5,3,7,2,6] => [3,5,4,7,8,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,1,5,4,8,2,6] => [2,5,4,7,8,3,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,3,4,1,5,8,2,7] => [2,5,3,7,1,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,2,1,8,6,7] => [2,4,3,1,7,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,3,8,1,4,2,7] => [3,1,7,5,2,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,8,1,4,7,3] => [6,1,8,3,2,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,1,3,5,2,8,6] => [4,5,2,8,3,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,2,3,1,6,8,7] => [3,4,2,1,8,5,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,3,1,4,5,6,2,8] => [4,2,5,7,3,6,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,4,3,5,6,2,7] => [4,3,5,7,2,6,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,8,4,2,1,6,5,3] => [8,4,3,7,5,1,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,4,2,1,5,6,3] => [4,6,3,8,5,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,3,4,8,7,1,5] => [7,8,2,3,1,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,3,4,7,8,1,5] => [7,2,3,4,1,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,8,3,6,4,2,1,5] => [7,3,6,5,1,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,3,5,6,2,1,4] => [7,3,6,4,1,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,3,8,7,5,1,4] => [7,8,6,2,1,3,5,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,2,3,7,8,5,1,4] => [7,4,8,2,1,3,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,6,3,8,1,7,4] => [8,4,2,1,3,6,7,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,4,3,8,7,5,1,2] => [2,7,1,8,3,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,3,7,8,5,1,2] => [2,7,3,1,4,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,2,4,1,7,3,5,8] => [6,2,3,7,4,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,7,2,3,6,1,8,4] => [8,3,1,4,6,5,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,8,2,3,6,1,7,4] => [8,3,1,4,6,5,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,5,8,3,2,1,6] => [3,7,1,6,5,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,8,5,3,2,1,7] => [2,7,1,6,5,4,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,1,4,2,3,7,8] => [5,6,3,1,4,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,6,1,4,2,3,8,7] => [8,5,3,1,4,2,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,2,8,3,4,1,7,6] => [4,5,1,8,2,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,5,8,3,2,1,7] => [3,1,2,7,6,5,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,4,3,7,2,8,6] => [3,8,4,1,6,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,4,3,8,2,7,6] => [3,8,4,1,6,7,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,2,4,1,7,8,3] => [6,3,1,4,2,8,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,2,4,1,8,7,3] => [4,1,8,3,2,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,2,4,1,8,6,3] => [4,1,8,3,7,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,4,2,8,7,5,3] => [8,3,7,6,2,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,8,2,4,1,7,6,3] => [4,1,8,3,7,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,4,1,6,8,3] => [6,4,1,8,2,5,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,1,3,7,2,6,8] => [4,6,2,1,7,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,4,3,6,2,7,8] => [4,3,6,2,1,5,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,8,6,4,3,7,1,2] => [7,1,5,4,3,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,1,4,2,3,7,6] => [8,5,3,1,4,6,7,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,1,6,3,4,2,7,8] => [4,6,5,2,1,3,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,8,6,5,3,2,1,7] => [7,6,1,5,4,3,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,5,6,3,2,1,7] => [3,7,1,6,5,4,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,7,8,3,2,1,6] => [1,7,2,6,5,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,8,7,3,2,1,6] => [1,7,2,6,5,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,7,8,3,2,1,5] => [2,7,1,6,5,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,6,8,3,2,1,5] => [7,6,1,5,3,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,7,8,5,3,2,1,6] => [7,6,1,5,4,2,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,1,8,4,2,3,6,7] => [5,6,4,1,7,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,1,3,4,2,6,7] => [4,6,3,1,5,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,8,7,5,3,2,1,6] => [7,6,1,5,4,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,7,8,6,3,2,1,5] => [7,6,1,5,2,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,7,6,3,2,1,5] => [7,6,1,5,8,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,3,8,1,6,2,5,7] => [2,1,6,7,4,5,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,4,8,7,3,5,2,6] => [5,7,2,6,8,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,8,4,3,7,1,6,2] => [1,4,3,8,6,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,1,4,7,2,6,3] => [4,1,8,6,7,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,7,4,2,3,6] => [6,1,7,5,8,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,2,4,3,5,7] => [6,3,4,5,1,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,8,7,1,3,4,2,6] => [5,1,7,4,6,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,7,6,3,1,2,5] => [6,7,1,5,8,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,4,7,3,1,2,6] => [1,6,3,7,5,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,4,8,3,7,5,6,2] => [6,8,2,4,7,5,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,2,8,1,6,5,7] => [2,1,7,3,5,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,3,8,2,6,5,7] => [7,3,1,5,6,8,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,7,8,1,5,4,2,6] => [7,6,1,4,5,2,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,8,1,5,4,6,2] => [6,2,5,8,4,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,4,8,7,2,5,1,6] => [5,7,1,2,6,8,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,4,8,2,7,5,6,1] => [6,8,1,2,4,7,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,2,4,8,3,6,5,7] => [7,3,5,6,8,1,2,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,2,4,3,8,6,5,7] => [7,3,6,8,1,2,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,6,7,8,4,1,2,5] => [6,2,7,1,5,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,8,5,3,2,6] => [7,1,6,5,3,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,2,8,3,6,5,7] => [7,5,1,6,8,2,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,3,1,8,6,5,7] => [7,2,1,3,6,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,7,6,8,4,2,1,5] => [7,6,5,1,3,2,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,8,7,4,3,1,5] => [2,7,6,5,8,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,6,2,4,1,5] => [5,7,6,1,2,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,8,2,6,4,5,1] => [6,8,4,1,2,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,2,3,8,1,6,5,7] => [7,2,1,3,5,6,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,3,1,8,2,6,5,7] => [2,1,7,5,6,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,7,8,5,3,2,6] => [7,6,2,5,3,8,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,3,7,8,5,2,1,6] => [7,1,6,2,5,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,2,8,4,6,5,1] => [8,5,7,1,3,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,8,6,3,1,5,7] => [6,2,5,7,1,4,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,6,8,4,2,1,5] => [7,6,2,5,3,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,2,8,3,5,4,1] => [8,5,7,3,2,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,7,3,8,4,6,5,2] => [8,5,7,3,2,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,4,8,2,6,5,7] => [7,2,3,5,6,8,1,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,4,8,1,6,5,7] => [1,7,2,3,5,6,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,3,8,6,2,4,1,5] => [5,7,2,6,1,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,8,2,6,4,5,1] => [6,8,2,4,1,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,2,8,7,4,3,5,1] => [6,5,1,8,7,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,1,8,5,2,6,3] => [2,8,6,5,7,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,4,3,1,8,6,5,7] => [2,7,1,3,6,8,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,4,2,8,6,5,7] => [7,2,3,6,8,1,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,2,4,8,6,5,7] => [7,2,6,8,1,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,4,8,6,5,7] => [1,7,2,6,8,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,4,8,6,5,7] => [1,7,6,8,2,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,4,8,2,6,5,7] => [1,7,3,5,6,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,3,4,8,5,1,6,2] => [8,2,3,6,5,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,1,3,4,8,6,5,7] => [7,1,6,8,2,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,3,4,8,6,5,7] => [7,6,8,1,2,3,4,5] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[3,5,8,2,6,1,4,7] => [4,1,2,6,7,5,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,5,8,2,4,1,7] => [5,3,1,2,7,6,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,8,7,2,4,6,1] => [5,1,6,8,2,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,1,2,5,6,3,7] => [5,1,7,3,4,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,1,6,3,8,4,7] => [7,2,4,1,8,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,2,5,1,8,4,3,7] => [7,6,2,3,1,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,1,5,8,4,2,7] => [4,7,1,6,2,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,4,8,1,3,2,7] => [1,7,5,3,2,6,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,4,3,8,2,1,7] => [4,3,2,1,7,6,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,4,3,7,2,8,1,6] => [3,2,1,5,7,4,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,4,3,7,2,6,1] => [1,4,3,6,8,7,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,8,3,7,2,5,1] => [4,1,2,6,8,7,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,4,6,3,2,8,1,5] => [2,5,4,7,3,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,4,3,6,2,7,8,5] => [2,6,3,4,8,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,7,3,4,1,2,8,6] => [3,1,8,5,4,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,4,7,6,2,1,3] => [3,2,7,6,8,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,7,4,3,6,1,2] => [2,7,5,4,8,6,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,7,8,3,6,1,5,2] => [4,8,1,6,2,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,8,6,7,4,1,2] => [1,7,4,8,2,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,3,8,6,4,7,5,2] => [8,5,4,7,2,6,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,2,7,4,1,5,3] => [8,6,3,5,2,7,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,5,7,3,2,6,8,4] => [4,2,6,8,5,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,7,3,2,5,8,4] => [4,6,2,8,5,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,8,2,3,6,7,4,1] => [5,1,8,3,4,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,6,4,7,2,3,8,5] => [3,8,5,2,6,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,7,5,2,8,4,6] => [7,1,4,8,5,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,6,1,7,8,3,5] => [1,7,5,2,3,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,8,7,2,3,5,1] => [2,5,1,6,8,7,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,3,2,1,7,8,4,5] => [2,7,3,5,1,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,1,8,4,2,5,6] => [6,1,5,7,8,3,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,2,1,3,7,5,8,6] => [8,2,1,6,3,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,1,3,7,4,2,6,5] => [5,8,3,6,7,2,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,3,7,6,2,1,5] => [2,7,3,6,8,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,3,5,2,7,6,1,4] => [7,2,3,8,4,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,6,2,8,7,1,5,4] => [8,6,1,2,7,3,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,2,8,1,6,5,4] => [8,2,7,3,5,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,7,2,6,5,4,1] => [8,7,4,6,1,5,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,7,8,6,1,5,3] => [8,1,6,3,7,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,2,4,7,1,5,3] => [4,8,3,1,6,7,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,2,1,8,7,3,6,4] => [8,6,1,7,2,5,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,3,1,7,5,2,4] => [3,7,1,8,6,4,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,1,6,7,2,4,3] => [1,8,6,4,7,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,8,1,5,7,4,3] => [5,8,7,2,1,4,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,7,8,2,6,1,4,3] => [1,8,4,6,2,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,2,5,6,4,3,1] => [4,8,7,3,6,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,2,6,8,1,5,4,3] => [8,7,5,2,3,1,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,2,7,8,5,6,4,3] => [5,3,8,7,6,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,4,8,1,6,2,5,3] => [2,8,6,7,4,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,1,8,2,6,5,4] => [8,7,1,5,6,3,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,1,7,3,8,6,5,4] => [8,7,6,1,4,2,3,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,2,1,7,6,5,4,3] => [8,7,6,2,5,3,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,4,7,6,5,3,2] => [8,7,3,6,5,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,7,5,1,4,3,2] => [8,7,5,2,6,4,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,8,6,5,4,1,3,2] => [8,6,1,7,5,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[5,8,4,3,2,1,6,7] => [1,6,5,4,3,7,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,7,3,2,1,8,5] => [2,5,4,1,8,6,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,3,7,2,1,4,8] => [3,6,5,2,1,7,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,8,3,6,2,1,4,7] => [3,1,6,5,7,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,7,8,2,1,4,5] => [6,2,5,1,7,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,6,2,1,4,8] => [6,2,1,5,7,4,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,7,6,2,1,4,5] => [6,5,7,8,1,4,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,4,2,6,1,3,7] => [4,1,6,3,7,5,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,3,2,5,1,7,6] => [1,4,3,5,8,6,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,7,2,5,1,8,6] => [2,1,4,5,8,6,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,4,2,7,5,1,3,8] => [6,2,7,3,1,5,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,2,6,7,1,4,8] => [2,6,3,1,4,7,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,8,2,6,5,1,4,7] => [6,7,1,3,5,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,7,8,5,1,3,4] => [6,7,3,1,8,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,7,6,8,1,3,4] => [6,1,7,4,2,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,4,3,1,7,8,2] => [6,4,3,2,1,8,5,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,4,7,3,1,5,8,2] => [2,6,4,1,8,5,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,7,3,1,8,6,2] => [2,1,4,8,7,5,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,4,3,7,1,5,8,2] => [3,2,6,1,8,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,3,6,1,8,7,2] => [3,2,1,4,8,7,5,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,3,7,8,1,4,5,2] => [6,8,2,1,5,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,7,6,1,4,8,2] => [6,1,8,2,5,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,7,6,1,4,5,2] => [6,8,5,7,1,4,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,2,1,5,3,8] => [4,2,7,5,1,6,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,3,2,1,4,7,6] => [4,3,1,8,5,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,3,2,1,5,7,6] => [1,4,3,8,5,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,7,2,1,4,8,6] => [2,4,1,8,5,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,2,7,1,4,3,8] => [7,3,5,2,1,6,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,2,7,1,5,3,8] => [7,3,2,5,1,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,2,6,1,8,3,7] => [7,3,2,1,4,8,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,2,7,8,1,4,3,5] => [7,5,6,2,1,3,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,4,1,8,7,3,2] => [3,2,1,8,7,6,4,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,8,4,1,6,7,3,2] => [1,5,3,8,7,4,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,7,1,5,8,3,2] => [2,5,1,8,7,4,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,4,7,1,6,8,3,2] => [2,1,5,8,7,4,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,8,7,1,5,6,3,2] => [5,8,1,7,4,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,3,1,6,8,7,2] => [3,2,1,8,5,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,8,3,1,5,6,7,2] => [1,5,3,6,8,4,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,7,1,5,4,6,2] => [6,5,8,1,4,7,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,3,2,1,5,4,8,7] => [3,2,5,8,4,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,3,2,1,6,4,8,7] => [3,2,5,1,8,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,7,1,6,4,3,8] => [7,6,2,1,4,5,3,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,2,7,1,5,6,3,8] => [5,1,7,2,4,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,8,7,1,5,4,3,6] => [7,6,4,5,8,1,3,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,1,7,8,4,3,2] => [4,2,1,8,7,6,3,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,4,1,7,5,8,3,2] => [2,5,4,1,8,7,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,1,6,7,8,3,2] => [4,2,1,5,8,7,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,1,6,5,7,3,2] => [5,1,4,8,7,3,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,1,7,5,4,8,2] => [6,2,5,4,1,8,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,1,6,7,4,8,2] => [2,4,1,6,5,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,6,5,7,8,2] => [2,1,5,4,6,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,1,6,7,4,3,8] => [4,7,2,1,6,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,1,6,5,7,3,8] => [5,2,1,4,7,3,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,8,1,6,5,4,3,7] => [7,6,5,1,3,4,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,1,7,8,5,4,3,2] => [3,1,8,7,6,5,2,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[4,1,7,6,5,8,3,2] => [5,1,4,3,8,7,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,7,6,5,4,8,2] => [6,5,1,4,3,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,3,5,6,2,4,8] => [6,3,4,7,5,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,3,5,7,2,4,6] => [6,3,4,7,8,2,5,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,8,1,7,2,4,5] => [6,7,1,2,8,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,2,3,5,6,7,1,4] => [4,7,2,3,5,8,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,7,2,3,5,4,6,8] => [6,3,4,5,7,1,2,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[8,1,2,3,5,4,6,7] => [6,2,3,4,5,7,8,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,7,8,1,3,5,4,6] => [7,4,5,6,1,2,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,8,3,5,6,1,4] => [7,4,5,2,8,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,5,7,8,1,6,3] => [8,2,3,6,1,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,8,1,7,6,3,2] => [8,1,2,7,6,4,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,2,1,3,5,4,6] => [3,7,4,5,6,8,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,8,7,2,1,5,4] => [5,2,8,1,6,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,4,1,7,5,3,2] => [3,8,7,6,4,2,5,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,6,4,3,1,8,5,2] => [4,3,8,7,5,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[3,6,8,1,2,5,4,7] => [7,1,4,5,2,6,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,3,6,7,2,5,4,8] => [7,5,2,3,6,1,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,4,1,8,5,2,3,6] => [6,2,7,5,8,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,4,2,8,3,6,5] => [3,8,6,7,2,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,2,5,3,6,4] => [8,6,4,5,7,2,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,1,7,5,4,2,3,6] => [6,7,5,4,8,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,2,6,5,4,3,8] => [7,6,5,3,4,1,2,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,7,6,3,2,5,4,8] => [4,7,5,6,3,1,2,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,7,6,3,2,4,5] => [6,5,7,8,4,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,2,5,7,6,3,1,4] => [3,7,6,8,2,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,8,1,7,5,4,2] => [2,8,7,1,6,4,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,6,7,5,4,1,3] => [7,3,8,6,2,5,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,8,1,6,5,4,3] => [8,7,6,4,1,2,5,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,7,2,1,6,5,4,3] => [8,7,3,6,4,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,6,3,2,1,5,4] => [5,4,8,6,7,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,1,8,6,3,7,4,5] => [7,8,5,1,4,6,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,6,1,5,2,7,4,3] => [8,7,5,3,4,2,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,1,7,4,2,6,3] => [8,6,5,2,7,3,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,1,7,5,4,3,8,6] => [5,4,8,1,6,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,8,4,5,3,6,7] => [4,6,1,5,7,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,7,8,3,6,5,4] => [8,7,5,1,3,6,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,5,4,6,8,3,7] => [4,1,3,5,7,8,2,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,5,3,1,6,2,4,7] => [6,3,7,4,2,5,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,5,1,4,6,8,3,2] => [4,5,2,8,7,3,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,1,5,2,3,8,7] => [8,5,3,2,4,1,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,3,7,5,2,6,1,4] => [5,7,2,4,8,6,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,3,7,4,6,8,1,2] => [4,1,7,2,5,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,3,7,6,2,1,4] => [1,7,3,6,8,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,2,4,8,6,3,1,7] => [7,3,1,6,2,5,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,2,6,3,8,5,1,7] => [1,7,4,2,3,6,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,2,4,7,5,1,6] => [7,1,3,4,6,8,5,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,8,2,1,7,6,4,3] => [1,8,7,3,6,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,8,1,5,7,4,2] => [5,8,2,1,7,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,3,2,4,1,7,5,6] => [3,2,4,7,8,5,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,4,3,1,5,8,6] => [4,2,3,8,5,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,3,1,5,4,6,2] => [3,6,5,8,4,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,1,4,6,5,3] => [8,5,7,2,4,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,1,4,3,2,8,7] => [5,4,1,8,3,2,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,7,1,8,3,6,2,4] => [5,1,7,8,6,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,1,4,5,3,2,7] => [4,7,6,3,1,5,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,7,5,1,3,4,2,6] => [5,7,4,6,3,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,7,1,3,8,2,4] => [5,7,2,1,8,4,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,3,5,6,1,7,4,2] => [3,8,2,7,5,4,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,4,8,2,1,3,6] => [6,5,3,2,7,1,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,6,4,5,1,2,7] => [6,2,4,7,5,3,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,5,8,1,6,2,4] => [7,2,3,8,5,1,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,7,8,5,1,6,4,3] => [8,7,5,4,1,2,6,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,7,4,3,6,1,8,5] => [3,8,4,6,1,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,3,5,8,1,6,7] => [2,3,1,4,6,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,2,8,4,7,1,6,5] => [8,1,4,6,7,2,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,8,4,7,1,6,5,2] => [8,3,7,1,5,6,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,2,4,6,1,5,8,7] => [1,8,2,3,5,4,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,8,4,6,5,7,1,3] => [7,3,5,4,8,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,8,4,6,7,1,5] => [7,4,5,8,1,2,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,4,5,6,8,1,7] => [2,1,3,4,5,7,8,6] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[5,6,8,1,4,2,7,3] => [1,8,6,4,2,5,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,5,7,8,4,6,2,3] => [7,2,5,3,8,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,5,7,8,6,2,4] => [7,3,4,8,2,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,1,6,8,2,7,4] => [4,1,2,8,6,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,4,8,2,1,7,3] => [1,5,3,2,8,6,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,1,6,3,8,4,7,2] => [6,3,1,8,4,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,1,6,8,3,7,4] => [4,2,8,1,6,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,2,6,8,3,7,4] => [4,8,6,1,7,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,1,8,6,2,3,4] => [6,1,7,8,5,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,5,2,7,8,6,3,4] => [2,7,4,8,6,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,5,2,8,3,4] => [7,2,8,5,4,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,7,5,2,8,3,4] => [7,8,5,4,2,1,3,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,6,7,5,1,8,3,4] => [7,2,8,5,1,4,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,7,8,6,2,1,4] => [7,2,6,1,3,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,7,8,6,3,4,2] => [1,6,3,8,7,5,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,2,7,8,4,6,1,3] => [1,7,5,3,8,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,5,7,8,6,1,4] => [7,1,3,4,8,2,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,2,7,5,1,8,3,4] => [7,8,5,2,1,4,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,2,6,7,5,8,3,4] => [3,7,5,4,8,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,7,5,4,1,8,3] => [8,6,5,2,1,4,3,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,7,5,2,4,1,8,3] => [8,4,1,6,5,3,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,2,5,3,8,1,4] => [5,7,3,1,4,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,4,5,2,1,8,3] => [5,3,1,8,6,4,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,5,7,8,6,3,1,4] => [7,2,6,3,8,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,7,8,6,3,2,4] => [1,7,6,3,8,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,7,5,1,8,2,4] => [7,8,2,1,5,4,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,7,5,4,2,8,3] => [2,8,6,5,4,1,3,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,7,5,1,4,2,8,3] => [8,6,4,1,5,3,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,4,1,5,2,8,3] => [8,6,4,3,1,5,2,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,6,7,4,5,2,8,3] => [4,2,8,6,5,1,3,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,3,7,5,8,2,4] => [7,5,3,2,4,8,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,5,3,7,8,6,1,4] => [2,7,4,8,1,3,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,7,5,4,2,1,8,3] => [5,1,8,6,4,3,2,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,3,2,7,5,8,1,4] => [7,2,5,3,1,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,4,2,5,1,8,3] => [8,4,3,1,6,5,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,2,3,7,5,8,1,4] => [7,5,2,3,1,4,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,5,1,6,3,2,8,7] => [1,5,4,2,8,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,5,1,6,3,8,4,2] => [8,5,4,2,7,3,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,7,6,1,3,8,4,5] => [7,8,4,5,1,3,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,6,1,3,8,5,4] => [8,7,4,5,1,3,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,5,1,8,2,6,4] => [8,2,6,3,7,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,5,1,8,6,2,4] => [7,3,8,1,6,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,7,1,5,8,3,4] => [7,5,2,8,1,4,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,7,4,1,8,3,5] => [7,4,2,8,1,5,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,7,4,1,8,5,3] => [4,2,8,7,1,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,7,1,5,8,4,3] => [5,2,8,7,1,4,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,5,1,8,4,7,2] => [6,3,1,2,8,7,4,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,5,1,8,4,2,7] => [7,6,1,3,2,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,5,4,8,1,6,2] => [4,3,8,1,6,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,5,4,8,1,2,6] => [6,4,1,3,7,2,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,1,5,8,7,3,2] => [8,1,4,2,7,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,1,6,2,8,3,4] => [7,8,5,3,2,4,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,5,1,6,2,8,4,3] => [8,7,5,3,2,4,1,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[4,6,1,5,8,2,3,7] => [1,6,4,7,2,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,4,7,8,1,6,5] => [8,6,1,2,3,4,7,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[6,8,5,4,3,2,7,1] => [1,6,5,4,3,8,7,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,5,4,3,7,2,1] => [1,5,4,3,8,7,6,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,4,3,1,8,7,2] => [4,3,2,1,8,7,5,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,7,5,4,3,1,6,2] => [8,6,5,4,3,7,2,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[3,5,6,2,1,8,4,7] => [4,1,2,7,3,8,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,2,6,8,4,1,7] => [4,1,2,7,3,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,5,3,2,8,4,6,1] => [3,6,2,8,4,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,5,7,3,8,6,1] => [8,2,3,5,1,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,1,5,6,3,7] => [5,1,7,2,4,6,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,6,1,8,4,3,7] => [2,7,6,1,3,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,6,8,1,4,2,7] => [7,2,1,5,3,6,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,7,3,2,8,5,1] => [2,4,1,8,5,3,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,7,8,4,5,3,2,6] => [4,7,6,5,2,8,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,7,3,8,4,2,6] => [7,4,1,6,3,8,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,1,4,8,6,2] => [8,2,1,5,7,4,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,3,1,7,8,5,2] => [3,2,5,1,8,7,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,7,3,8,5,2] => [2,8,5,4,1,7,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,3,7,8,4,2,1] => [1,4,2,8,3,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,1,6,3,7,8,4,2] => [5,3,1,8,4,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,1,3,7,8,4,2] => [5,1,8,4,2,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,1,7,8,3,4,2] => [1,6,4,2,8,7,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,3,7,4,8,5,2] => [8,5,3,2,4,7,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,7,2,4,1,8,5,3] => [4,8,3,1,7,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,7,3,1,2,8,5] => [2,8,5,4,1,6,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,1,3,2,7,8,4] => [4,6,1,8,3,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,3,2,1,7,8,4] => [4,3,1,6,2,8,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,6,3,7,8,4,1] => [2,5,3,8,1,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,6,3,1,7,8,4] => [4,2,6,1,3,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,4,7,3,1,8,5] => [3,5,2,8,1,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,7,2,8,4,5,1] => [6,8,2,1,4,3,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,7,2,8,4,1,5] => [7,2,4,1,6,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,3,2,1,8,4,6] => [4,3,7,2,8,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,8,4,2,1,5,6] => [6,2,5,4,7,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,2,1,3,8,6,5] => [1,8,3,7,4,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,7,8,6,4,2,5] => [7,6,3,8,2,5,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,8,4,6,2,1,5] => [4,7,2,6,1,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,3,8,2,1,6,4] => [3,1,5,8,6,2,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,7,8,5,2,1,4] => [7,6,2,1,3,8,5,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,6,2,7,8,5,3,1] => [4,1,2,8,7,3,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,5,8,1,2,6,3] => [2,8,5,3,6,1,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,1,7,3,8,6,4] => [2,8,7,1,5,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,7,2,1,3,8,5,4] => [8,3,7,4,1,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,6,7,8,2,4,3] => [3,1,8,6,4,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,7,3,8,5,4] => [8,7,2,5,3,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,7,1,8,5,4,3] => [8,7,6,2,1,4,3,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,3,1,7,8,5,4,2] => [4,8,2,1,7,6,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,1,3,6,8,2,5,7] => [6,3,1,4,7,8,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,3,6,8,1,5,7] => [6,2,1,3,4,7,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,3,2,1,8,4,7,6] => [2,8,3,1,6,7,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,5,8,2,1,7,4] => [5,3,1,2,8,6,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,2,1,3,8,7,6] => [1,8,3,2,7,4,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,4,6,5,8,1,3,7] => [6,2,4,1,3,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,2,1,6,8,4,7] => [3,2,5,1,7,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,4,5,8,1,3,7] => [3,6,2,4,1,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,4,6,5,8,2,7] => [5,2,3,4,7,8,1,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,5,3,2,8,7,4,6] => [7,2,8,3,6,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,6,4,5,8,3,2] => [4,5,3,2,8,7,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,8,7,4,1,2,6,3] => [1,8,5,6,4,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,7,4,6,2,1,3] => [7,1,6,4,8,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,1,3,5,6,8,7,2] => [8,3,1,4,5,7,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,8,6,7,1,3,5] => [6,7,2,4,8,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,5,8,6,7,1,4] => [7,3,5,8,1,2,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,8,5,6,7,3,4] => [4,7,5,8,1,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,3,7,1,8,6,5] => [1,8,7,2,3,5,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,6,4,8,1,7,5] => [8,1,4,2,3,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,1,6,7,3,4,5] => [6,7,2,4,8,3,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,8,5,4,1,3,6] => [6,7,5,4,1,2,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,7,5,3,1,2,8,6] => [8,1,5,4,3,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,4,8,5,3,1,6] => [7,3,6,2,5,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,2,7,4,1,8,6] => [5,1,2,8,3,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,2,3,7,1,5,6] => [3,4,2,6,7,8,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,8,4,7,1,3,5,6] => [5,3,6,7,8,1,4,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,6,3,2,5,8,7,4] => [8,3,5,2,7,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,8,3,2,1,6,7,4] => [4,3,1,6,8,5,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,2,7,4,1,6,3] => [1,8,6,3,5,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,1,4,2,8,7,6,3] => [8,3,1,7,6,2,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,7,6,5,8,2,1,3] => [7,6,1,4,3,2,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,3,7,1,6,2,8,4] => [8,2,1,6,4,5,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,6,8,7,1,3,4] => [6,3,1,7,8,2,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,7,5,4,1,8,6,3] => [4,3,8,7,1,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,6,8,7,1,3] => [3,1,4,7,8,2,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,8,4,2,5,6,7,3] => [5,3,6,8,4,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,4,1,5,6,7,2] => [5,1,3,6,8,4,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,2,4,7,1,8,6,3] => [8,3,1,7,2,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,4,7,1,8,6,2] => [8,2,1,3,7,5,4,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,6,4,1,3,2,5,7] => [6,4,5,3,7,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,3,6,5,2,4,7] => [6,7,3,5,2,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,4,3,6,5,2,7] => [3,7,4,6,2,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,1,2,6,5,3,7] => [7,6,3,2,4,5,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,6,4,2,1,5,3,7] => [4,7,5,3,6,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,3,6,4,1,5,2,7] => [7,2,5,4,6,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,5,2,4,8,7,6] => [3,8,2,7,1,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,5,1,3,8,7,4] => [8,7,4,1,3,2,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,7,1,6,5,8,3,2] => [5,1,4,8,7,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,3,1,5,8,6,7,2] => [2,1,6,8,4,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,5,8,6,7,2] => [6,1,8,3,4,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,5,3,8,4,7,1,2] => [7,3,2,1,5,8,6,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,4,2,1,6,8,7,3] => [8,3,2,1,5,7,4,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,4,7,8,2,1,6,5] => [5,8,1,2,6,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,3,2,8,6,7,4] => [6,8,3,1,7,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,1,2,8,6,7,4] => [2,6,1,8,7,3,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,3,2,1,8,6,7,4] => [2,6,1,8,3,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,1,3,6,8,7,4] => [8,2,5,1,7,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,7,3,8,1,6,5] => [8,2,4,6,1,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,8,2,7,4,1,5] => [7,2,4,1,6,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,2,1,3,6,4,7,5] => [8,2,6,3,4,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,1,7,8,4,2,6] => [2,7,1,6,4,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,8,7,2,1,6,5] => [5,8,1,2,6,7,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,4,7,8,3,6,2,1] => [1,5,2,3,8,7,6,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,3,8,7,4,1,2,5] => [6,7,2,1,5,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,5,7,2,4,8,1,6] => [4,1,2,5,7,3,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,7,2,3,1,5,6] => [4,2,6,5,7,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,7,1,3,2,5,6] => [6,4,2,5,7,8,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,4,7,2,1,3,5,6] => [5,4,2,6,7,8,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,6,4,2,1,3,7,5] => [4,8,5,3,6,2,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,4,1,3,2,7,5] => [5,8,4,3,6,2,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,4,2,3,1,7,5] => [4,5,3,8,6,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,3,8,5,7,2,4] => [7,5,8,3,1,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,5,3,6,2,7,1] => [4,1,3,6,5,8,7,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,5,8,7,4,6,2,3] => [7,2,5,8,6,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,1,7,6,4,5,8,3] => [5,6,4,1,3,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,7,2,4,6,5,8,3] => [6,4,5,8,3,1,2,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,1,7,6,8,2,4] => [2,7,1,5,4,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,7,8,4,1,6,3] => [8,2,6,5,1,3,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,8,1,5,6,7,3] => [5,1,6,8,2,4,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,5,2,6,8,7,3] => [3,1,8,5,7,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,8,5,2,6,7,3] => [1,6,4,8,5,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,1,8,5,4,6,3] => [6,5,8,7,1,3,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,6,2,1,3,7,4] => [4,1,8,5,6,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,4,1,5,6,7,3] => [5,2,3,6,8,4,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,7,8,3,5,4,6,2] => [6,4,5,2,8,7,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,5,7,1,8,6,2] => [8,1,2,3,7,5,4,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,5,7,8,2,6,1] => [6,1,2,3,4,8,7,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,4,6,2,8,5,1,7] => [7,1,2,4,3,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,6,8,1,5,2,7] => [7,1,2,5,3,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,7,2,1,8,6,5] => [8,1,2,4,7,5,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,7,8,1,5,6,2] => [6,8,1,2,5,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,2,6,7,8,1,4] => [4,1,2,7,3,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,2,7,8,4,6,1] => [2,6,1,4,8,3,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,2,8,4,1,6,7] => [6,1,3,2,5,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,6,2,8,4,1,7] => [2,7,1,4,3,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,8,4,1,2,7] => [2,6,1,3,7,5,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,8,4,1,6,2] => [8,2,6,1,5,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,2,1,7,8,5,4] => [5,8,1,3,2,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,1,8,5,4,7] => [7,1,3,6,2,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,7,2,4,8,5,1] => [8,4,1,2,5,3,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,7,2,8,5,4,1] => [2,8,7,1,4,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,7,8,4,5,1,2] => [2,7,5,1,3,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,8,2,4,5,1,7] => [4,5,1,2,7,6,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,2,1,4,8,6,5] => [8,1,3,7,4,5,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,2,1,8,5,6,4] => [6,8,1,3,7,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,2,1,4,5,6,7] => [1,4,3,5,6,7,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,1,5,6,7,8,3,2] => [3,1,4,5,8,7,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,5,7,3,8,6,2] => [1,8,3,5,4,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,3,7,8,5,2] => [1,5,3,8,4,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,3,8,5,2,7] => [1,7,4,3,6,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,1,6,8,3,5,2,7] => [1,5,3,7,6,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,3,2,8,6,5] => [1,8,4,7,5,2,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,8,3,2,5,6,7] => [5,4,1,6,7,8,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,5,2,6,7,8,3,1] => [1,4,2,5,8,3,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,2,6,8,1,3,7] => [1,6,3,2,4,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,6,2,3,8,5,1,7] => [1,7,3,4,2,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,2,7,3,8,5,1] => [8,1,5,3,2,4,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,2,7,8,5,1,3] => [7,1,4,2,8,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,3,2,8,5,1] => [4,1,2,8,5,3,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,8,3,2,5,1,7] => [5,1,4,2,7,6,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,2,3,1,8,6,5] => [1,8,3,4,7,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,8,3,2,5,6,1] => [5,1,4,6,2,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,2,3,1,5,6,7] => [3,1,5,4,6,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,1,2,6,8,4,3,7] => [4,7,6,1,8,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,7,4,8,6,3] => [8,5,4,1,7,2,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,1,2,7,8,4,6,3] => [6,4,1,8,7,2,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,2,8,4,3,6,7] => [6,5,7,1,8,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,6,3,8,4,2,7] => [7,4,3,1,6,8,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,1,6,7,4,8,2,3] => [3,1,7,5,4,8,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,6,7,8,4,2,3] => [3,1,7,4,8,6,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,8,3,4,2,6,7] => [4,6,5,1,7,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,2,3,8,4,1,7] => [7,3,1,4,2,6,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,6,2,7,8,4,1,3] => [1,7,4,2,8,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,3,4,2,1,7] => [1,4,2,7,6,5,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,2,3,8,4,6,1] => [6,1,8,3,4,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,3,4,1,6,7] => [3,4,1,6,5,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,1,2,3,7,8,5,4] => [5,8,7,2,3,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,2,3,8,5,4,7] => [7,6,8,2,3,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,7,8,5,4,3] => [4,8,7,6,2,1,3,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,1,2,8,4,5,3,7] => [5,7,6,8,2,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,7,3,4,8,5,2] => [8,4,5,3,1,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,7,3,8,5,4,2] => [8,7,4,3,1,6,2,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,1,7,8,4,5,3,2] => [5,3,1,8,7,6,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,2,3,8,5,4,1] => [8,7,3,1,4,2,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,2,8,4,5,3,1] => [5,1,8,7,3,2,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,2,3,4,8,6,5] => [8,7,2,3,4,5,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,4,1,8,2,3,7,5] => [8,5,2,6,1,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,1,2,4,3,7,6] => [5,8,3,1,4,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,3,5,7,2,6,4,8] => [3,7,2,5,6,1,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,5,8,6,1,2,4,7] => [5,1,2,6,7,4,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,6,8,2,4,7,5] => [8,1,5,3,6,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,2,8,1,5,7,4] => [6,8,1,3,2,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,1,3,8,4,7,5] => [8,6,7,1,3,2,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,2,5,7,4,6,1,3] => [3,7,5,8,2,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,1,3,7,6,4,5] => [7,8,2,6,3,4,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,5,1,3,7,4,6] => [7,8,2,4,3,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,7,5,3,1,6,4] => [5,8,6,2,4,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,5,4,7,1,3] => [7,5,4,2,3,8,6,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,8,2,5,3,1,6,4] => [5,8,3,6,4,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,8,6,3,2,4,5] => [6,5,7,8,4,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,1,5,3,2,4,7] => [6,5,7,3,1,4,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,7,5,3,2,4,8] => [6,5,2,7,4,1,3,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,8,1,6,4,2,3,5] => [6,7,5,8,3,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,1,2,5,6,3,7] => [5,7,3,2,4,6,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,7,3,6,5,2,4,8] => [6,7,3,5,4,1,2,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,3,7,2,6,4,5] => [7,8,3,5,6,2,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,2,6,5,1,8,4] => [8,2,6,3,5,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,2,7,4,5,6,1,3] => [4,7,5,8,2,6,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,5,7,3,2,1] => [4,3,8,1,7,6,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,5,4,6,2,1] => [5,4,8,7,1,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,6,4,3,5,1] => [6,5,8,7,4,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,8,7,6,5,3,2,4] => [7,6,8,5,4,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,2,8,6,5,4,1,3] => [7,8,6,5,2,1,4,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,2,8,5,4,6,1,3] => [7,5,4,8,2,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,2,8,5,1,7,4] => [8,2,6,3,1,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,5,4,3,1,7,2] => [1,8,6,5,4,3,7,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[4,8,6,1,5,3,7,2] => [6,1,5,8,4,3,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,1,8,5,2,7,4] => [8,6,1,5,2,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,3,5,4,1,7,2] => [8,3,1,6,5,4,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,2,5,8,3,6,1,4] => [5,3,7,8,2,1,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,5,6,3,4,2,8] => [5,3,7,6,4,1,2,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,2,6,8,5,3,1,4] => [7,6,3,8,2,1,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,3,8,5,2,1,4] => [7,3,6,2,1,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,6,4,8,3,1,5] => [4,7,6,2,3,1,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,3,1,7,8,5,6] => [7,2,1,3,5,8,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,2,8,4,1,7,6,3] => [4,1,8,7,2,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,3,4,5,1,7,2] => [3,4,1,8,6,5,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,2,1,5,4,7,6] => [3,2,5,8,4,6,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,7,1,5,8,4,2] => [5,8,2,1,7,4,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,1,8,4,3,7,6] => [5,2,8,1,6,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,5,4,8,1,3,7] => [6,4,2,3,1,7,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,1,6,5,8,2,7] => [2,1,5,4,7,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,4,6,8,2,7] => [4,2,3,5,7,8,1,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,3,4,1,5,2,7,6] => [2,5,3,8,4,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,4,2,6,8,3,1] => [5,3,2,8,4,1,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,2,6,4,1,7,3,5] => [7,4,8,2,5,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,8,4,5,2,1,6] => [4,7,2,6,5,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,5,1,8,4,3,6] => [7,6,2,3,8,4,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,1,5,8,7,4,2] => [8,4,1,2,7,6,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,3,6,4,5,1,7,2] => [4,8,2,6,5,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,6,8,1,2,7,3] => [2,1,8,5,3,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,7,2,3,5,8,1] => [4,2,5,1,6,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,4,1,3,5,7,2] => [5,6,3,1,8,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,4,7,8,6,2,5,1] => [6,3,8,1,2,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,1,8,4,7,3,2] => [5,2,1,8,7,6,3,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,3,1,8,4,7,6,2] => [8,2,1,5,7,6,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,7,4,6,1,3,5] => [6,4,7,8,2,5,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,3,1,4,7,2,8,5] => [2,8,4,6,3,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,4,3,6,8,2,5,1] => [2,6,3,4,1,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,4,7,3,8,5,6,1] => [6,8,2,4,1,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,1,5,7,3,4] => [7,5,8,4,1,3,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,3,7,4,2,6,1] => [6,3,2,5,8,7,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,7,3,2,4,1,8,6] => [4,3,1,5,8,6,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,1,3,6,7,8,2,5] => [4,1,7,3,5,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,8,1,5,6,2,7,4] => [4,8,1,6,3,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,5,6,1,7,4,3] => [3,8,7,2,5,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,5,2,8,6,4,3] => [3,8,7,6,2,4,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,4,8,7,2,1,3] => [3,2,1,7,6,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,8,6,4,5,2,7,3] => [4,8,6,5,3,7,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,8,5,3,6,2,7,4] => [8,4,3,6,5,7,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,2,1,7,5,8,4] => [6,1,3,5,2,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,4,1,8,7,6,3] => [2,8,3,7,1,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,2,6,5,8,1,3] => [7,1,5,3,4,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,4,2,7,3,5] => [7,4,8,3,1,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,4,7,8,2,5,6,1] => [5,6,1,2,3,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,2,4,1,6,8,7,3] => [3,8,2,1,5,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,5,7,6,1,8,4] => [8,1,3,6,2,5,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,5,6,1,8,7,2] => [2,1,3,4,8,7,5,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,4,1,7,6,8,2] => [2,3,1,6,5,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,4,6,5,7,8,2] => [1,5,3,4,6,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,3,6,4,8,7,2] => [4,8,3,1,5,7,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,2,7,5,8,6,4] => [8,5,2,4,7,1,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,2,5,8,3,7,6] => [2,8,4,6,7,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,2,7,8,5,6,3] => [6,2,4,8,7,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,1,2,6,8,4,7,3] => [4,6,1,8,7,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,2,6,8,5,3,7] => [4,1,7,6,8,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,4,8,7,6,3] => [2,8,7,4,6,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,6,4,8,7,5,3] => [3,8,7,4,6,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,7,4,8,6,5,3] => [8,7,4,3,6,1,2,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,3,2,7,5,8,4,6] => [5,7,2,4,8,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,7,5,4,8,6] => [5,8,1,2,6,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,4,8,7,3,6] => [7,2,8,4,6,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,4,8,7,3,5] => [7,3,8,4,6,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,7,8,5,6,3,4] => [7,5,3,8,6,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,6,8,5,7,3,4] => [3,7,5,8,6,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,6,8,2,7,3,4] => [2,7,3,8,5,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,8,2,6,7,4,5] => [7,5,8,2,4,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,7,2,8,6,3,5] => [7,8,2,6,4,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,8,2,5,3,4] => [7,2,8,5,3,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,2,6,8,3,7,5,4] => [3,8,7,5,6,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,7,8,2,3,6,4] => [2,8,5,6,3,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,2,7,8,4,6,3] => [2,6,4,8,7,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,7,2,8,3,6,5] => [8,2,6,7,4,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,6,2,4,8,7,5] => [8,7,2,4,1,3,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,6,7,3,4,8,5,2] => [8,4,2,5,3,7,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,3,7,4,8,6,2] => [2,8,5,3,4,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,4,1,5,3,7,6] => [5,3,8,1,4,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,8,4,1,5,7,2,6] => [5,1,3,7,8,4,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,6,4,2,8,7,5] => [8,4,2,3,7,1,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,8,4,2,7,6,5] => [8,4,7,2,5,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,8,4,7,3,6,5] => [8,4,6,7,5,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,7,4,8,3,6,5] => [8,4,6,3,7,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,4,8,3,7,5] => [8,4,3,6,7,1,2,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,2,4,8,3,7,6] => [8,4,2,6,7,1,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,8,4,5,7,2,3,6] => [3,6,4,7,8,5,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,3,5,2,7,4,6] => [7,3,4,8,5,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,3,5,1,4,7,6] => [8,3,5,1,4,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,6,1,4,7,5] => [8,5,6,1,2,4,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,4,8,6,7,2,3,5] => [6,7,2,4,8,5,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,6,8,7,2,3,4] => [2,6,3,7,8,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,2,6,8,5,3,7,4] => [3,8,6,5,7,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,7,8,5,3,6,4] => [8,6,5,3,7,1,2,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,2,5,8,7,3,6,4] => [8,3,6,7,5,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,6,8,7,3,5,4] => [3,8,6,7,5,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,7,8,6,3,5,4] => [8,6,3,7,5,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,6,7,8,5,2,3,4] => [6,2,7,3,8,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,7,6,8,2,3,5] => [6,7,2,4,3,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,7,6,2,8,4,5] => [7,8,5,2,4,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,3,8,7,4,1,6,5] => [5,8,6,7,1,2,4,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,2,8,4,7,6,3,5] => [7,8,4,6,5,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,5,8,7,6,3,4] => [7,8,3,6,5,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,7,8,6,5,3,4] => [7,3,8,6,5,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,2,1,7,8,3,4] => [7,3,1,5,2,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,7,6,4,5,8,1] => [5,6,4,1,2,3,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,1,7,4,8,3,5] => [5,7,4,1,2,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,4,1,7,8,2,5] => [3,7,1,5,2,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,1,5,8,7,2] => [3,8,1,5,2,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,1,4,7,8,5,3] => [5,8,4,1,2,7,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,2,3,8,5,4,7,6] => [5,8,6,7,1,2,3,4] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,3,1,2,8,5,7,6] => [2,1,8,6,7,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,1,5,3,8,6,4,7] => [3,7,1,6,8,2,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,3,8,5,6,4,7] => [5,7,6,8,1,2,3,4] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,8,6,4,5,7] => [6,7,5,8,1,2,3,4] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,8,6,5,4,7] => [7,6,5,8,1,2,3,4] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,8,5,4,6,7] => [6,5,7,8,1,2,3,4] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,6,1,5,4,8,3,7] => [5,4,7,1,2,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,2,4,8,3,7,6] => [8,4,6,1,7,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,3,1,4,8,2,7] => [5,3,1,7,2,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,4,3,1,8,6,7] => [4,3,1,2,7,8,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,6,4,5,1,8,7,2] => [3,4,1,2,8,7,5,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,5,4,1,8,7,2] => [4,3,1,2,8,7,5,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,2,6,1,7,8,4,3] => [5,3,1,8,2,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,6,2,8,7,3,4] => [7,3,1,8,6,2,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[2,1,3,7,8,6,4,5] => [7,4,8,1,6,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,4,1,7,8,6,3] => [3,5,1,8,2,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,2,8,6,7,5] => [2,1,6,8,7,3,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,3,8,6,7,4,5] => [7,5,8,6,1,2,3,4] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,3,8,7,5,4,6] => [7,6,8,5,1,2,3,4] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,4,1,2,8,7,6,3] => [2,1,8,7,6,3,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,1,6,2,8,7,5,4] => [3,8,1,7,6,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,8,4,5,3,6,7] => [4,6,5,7,8,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,3,4,2,5,6,7] => [3,5,4,6,7,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,4,7,6,5,3,2,1] => [8,7,2,6,5,4,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,4,7,5,6,3,2,1] => [4,8,2,7,6,5,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,6,3,5,4,2,1] => [8,4,7,6,5,3,2,1] => [1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 26
[8,6,7,3,5,4,2,1] => [8,4,2,7,6,5,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,7,3,6,4,2,1] => [2,8,4,7,6,5,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,1,7,4,6,5,3,2] => [8,4,7,6,5,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,7,3,6,5,4,2] => [8,7,4,6,5,2,3,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,2,7,3,6,5,4,1] => [8,7,4,6,2,5,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,3,7,2,6,5,4,1] => [8,7,2,4,6,5,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,7,2,6,4,3,1] => [2,8,7,4,6,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,7,2,5,4,3,1] => [8,7,4,2,6,5,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,7,6,2,5,4,3,1] => [8,7,4,6,5,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,4,7,1,6,5,3,2] => [8,2,7,6,4,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,3,7,1,6,5,4,2] => [8,7,2,6,4,5,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,2,7,1,6,5,4,3] => [8,7,6,2,4,5,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,1,7,2,6,5,4,3] => [8,7,6,4,5,2,3,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,7,6,2,5,3,4,1] => [6,8,4,7,5,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,1,7,6,5,3,4,2] => [6,8,7,5,4,2,3,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,3,7,6,5,2,4,1] => [6,8,7,2,5,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,4,7,6,5,2,3,1] => [6,8,2,7,5,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,7,5,4,1,3,2] => [8,6,2,7,5,4,3,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,5,7,6,4,1,3,2] => [2,8,6,7,5,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,3,7,6,5,1,4,2] => [8,6,7,2,5,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,4,5,1,3,2] => [8,6,4,7,5,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,6,2,5,1,4,3] => [8,4,6,7,5,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,1,5,2,4,3] => [8,6,7,4,5,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,1,4,2,5,3,7] => [7,5,3,4,1,6,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,8,3,6,1,4,2,5] => [3,7,5,6,1,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,2,5,3,6,1,4] => [5,7,3,4,1,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,2,5,1,4,3,6] => [7,3,5,6,4,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,1,4,3,6,2,5] => [5,4,7,8,3,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,2,5,1,4,3,7] => [7,3,5,1,6,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,2,5,3,7,1,4] => [5,7,3,1,4,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,2,5,4,7,1,3] => [7,5,3,1,4,8,6,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[2,5,4,7,6,8,1,3] => [2,7,3,5,1,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,3,7,6,8,1,4] => [2,7,5,1,3,4,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,1,4,3,7,6,8] => [4,7,1,3,2,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,6,1,4,3,7,5,8] => [4,7,1,3,5,2,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,5,8,1,4,3,7] => [7,5,3,1,2,6,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,6,1,5,3,7,4,8] => [7,5,1,3,4,2,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,6,3,7,4,8,1,5] => [5,7,3,1,2,4,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,4,7,5,8,1,3] => [7,3,2,5,1,4,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,3,6,4,7,1,2] => [1,7,3,5,4,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,2,6,4,7,1,3] => [1,7,5,3,4,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,1,5,3,7,2,6] => [1,5,4,7,8,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,1,5,2,6,3,7] => [1,7,5,3,4,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,8,3,7,1,4,2,5] => [3,7,5,1,6,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,1,3,2,6,4,7] => [4,7,3,1,5,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,4,7,1,3,2,6] => [1,7,5,3,6,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,4,7,1,3,2,5] => [7,5,3,1,6,8,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,8,5,7,1,3,2,4] => [7,5,1,6,3,8,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,7,6,8,1,3,2,5] => [7,1,5,6,3,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,5,8,1,3,2,6] => [7,1,5,3,6,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,5,8,1,4,2,6] => [7,5,1,3,6,2,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,7,6,8,1,4,2,5] => [7,5,6,1,3,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,6,8,2,5,1,4] => [5,7,3,1,2,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,7,6,8,2,5,1,3] => [5,7,1,3,2,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,5,8,3,6,1,2] => [3,7,1,5,2,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,5,8,2,6,1,3] => [5,1,3,7,2,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,5,8,2,6,1,4] => [5,3,7,1,2,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,7,4,8,1,5,2,6] => [3,7,1,5,6,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,2,6,1,5,4,8] => [7,1,3,5,6,4,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,7,2,6,5,8,1,4] => [7,5,1,3,4,2,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,3,6,5,8,1,2] => [7,1,3,5,4,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,5,8,4,7,1,2] => [3,2,7,1,5,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,5,8,4,7,1,3] => [3,2,7,5,8,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,5,8,3,7,1,4] => [5,3,2,7,8,1,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,3,7,1,5,4,8] => [7,3,5,1,2,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,6,4,3,8,2,5,1] => [4,3,6,2,1,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,3,7,2,1,5] => [4,3,1,7,6,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,4,3,5,1,8,2] => [4,3,1,8,6,5,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,7,3,5,4,8,2,1] => [5,3,1,4,2,8,7,6] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,3,7,5,2,4,1] => [6,1,8,3,7,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,8,3,5,2,4,1] => [4,6,2,1,8,7,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,3,5,8,2,4,1] => [6,3,4,2,1,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,4,2,5,1,8,3] => [8,4,3,6,5,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,2,8,4,1,5,3] => [8,6,3,5,2,1,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,8,3,7,4,5,2,1] => [5,1,8,3,7,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,7,3,5,8,4,2,1] => [4,1,8,3,2,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,3,6,7,2,1,4] => [1,7,3,6,4,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,4,8,7,2,5,1] => [6,8,2,1,3,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,2,8,4,1,7,5,3] => [4,8,7,2,1,5,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,3,4,7,5,8,2,1] => [5,2,3,1,4,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,3,6,8,2,1,4] => [1,7,3,6,4,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,8,3,7,2,1,4] => [1,4,2,7,6,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,7,3,4,1,8,2] => [1,4,2,8,6,5,3,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,6,7,8,3,5,2,1] => [2,5,1,3,8,7,6,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,8,3,5,7,2,1] => [4,1,2,5,8,7,6,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,3,4,7,8,2,1,6] => [7,2,1,3,6,4,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,8,2,4,1,6,7] => [2,4,1,6,5,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,4,8,2,6,1,7] => [2,3,1,5,7,6,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,8,3,5,6,2,1] => [4,5,1,2,8,7,6,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,7,8,3,6,2,5,1] => [4,6,1,2,8,7,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,3,6,7,2,5,1] => [6,1,3,4,8,7,5,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,3,4,8,2,7,6,1] => [8,2,1,3,5,7,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,3,8,2,4,1,7,6] => [2,4,1,5,8,6,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,4,1,7,3,6] => [7,4,1,8,2,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,2,5,1,8,7,3] => [4,2,8,3,1,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,3,5,8,2,1,7] => [3,2,4,1,7,6,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,8,7,2,4,1] => [3,6,1,8,2,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,7,2,6,4,1] => [1,8,3,5,7,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,7,3,4,8,2,1,6] => [3,1,4,7,6,2,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,4,2,3,1,6,7] => [4,1,6,5,3,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,8,4,2,3,1,7,6] => [4,1,5,3,8,6,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,5,3,8,2,1,7] => [2,4,3,1,7,6,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,8,5,3,7,2,1] => [5,2,1,4,8,7,6,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,4,3,8,5,7,2,1] => [2,5,1,8,3,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,2,8,5,3,1,7] => [2,7,6,3,1,5,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,5,3,7,1,8,2] => [2,4,3,1,8,6,5,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,3,7,1,8,2,4] => [3,1,7,2,8,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,3,4,7,1,8,2] => [3,1,4,2,8,6,5,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,3,4,8,2,1,7] => [3,1,4,2,7,6,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,4,7,8,2,1] => [4,2,3,1,5,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,3,5,7,1,8,2] => [3,2,4,1,8,6,5,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,5,1,7,3,8] => [7,3,2,5,4,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,3,7,2,4,1,6,8] => [2,4,1,6,5,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,3,6,8,2,5,1] => [6,1,3,4,2,8,7,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,7,3,5,8,2,1] => [4,1,2,5,3,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,7,8,3,6,2,1] => [5,1,2,3,8,7,6,4] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,3,4,6,8,2,1,7] => [2,3,1,4,7,6,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,6,8,2,1,4,7] => [6,2,1,5,3,7,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,6,7,1,8,2,4] => [7,2,1,3,8,5,4,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,4,6,7,1,8,2] => [2,3,1,4,8,6,5,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,4,8,6,3,2,1] => [8,1,3,2,7,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,2,6,5,1,8,7,4] => [4,1,3,8,2,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,2,5,3,4,8,7] => [8,5,3,4,1,2,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,3,8,2,4,6,5,7] => [7,2,4,5,6,8,1,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,2,3,6,4,8,5] => [8,6,3,4,5,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,8,2,5,3,7,4] => [8,6,4,2,5,7,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,8,2,5,3,4,7,6] => [8,5,3,4,6,7,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,8,2,3,6,4,7,5] => [8,6,3,4,5,7,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,5,2,8,4,7,6] => [3,8,2,6,7,1,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,7,3,5,4,6,8] => [6,4,5,7,1,2,3,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,2,7,3,4,6,5] => [8,5,6,7,3,4,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,8,2,3,7,4,6] => [7,2,8,4,5,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,8,2,3,5,4,7] => [7,4,5,2,6,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,6,1,2,4,8,7] => [2,8,4,1,5,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,5,8,4,2,3,6] => [6,3,7,5,8,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,5,7,4,2,3,6] => [6,3,7,5,8,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,4,5,8,2,3,6] => [3,6,4,7,8,2,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,1,6,2,8,3,5] => [7,2,8,5,3,4,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,1,7,2,6,3,5] => [7,2,8,5,6,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,5,4,7,2,3,6] => [6,4,3,7,8,2,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,7,5,8,3,4,6] => [6,4,7,1,3,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,5,4,8,2,3,6] => [6,4,3,7,8,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,1,7,2,3,8,5] => [8,5,2,6,3,1,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,8,3,1,2,4,6,5] => [8,4,3,5,6,1,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,7,1,6,4,2,3,5] => [6,7,5,8,3,4,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,1,7,4,2,3,5] => [6,7,5,8,3,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,1,8,4,2,3,5] => [6,7,5,8,3,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,3,8,1,2,4,6,5] => [2,8,4,5,6,1,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,7,1,2,4,6,5] => [2,8,4,5,6,7,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,3,6,1,2,4,7,5] => [2,8,4,5,6,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,6,1,2,4,8,5] => [2,8,4,5,6,3,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,7,1,8,4,2,3,5] => [6,7,5,1,8,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,8,5,4,2,3,6] => [6,7,5,4,8,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,8,4,5,2,3,6] => [6,4,7,5,8,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,1,7,8,5,3,4,6] => [6,7,5,1,3,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,3,1,2,4,8,5] => [8,4,3,5,6,2,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,1,2,3,8,7,5,4] => [8,7,6,2,3,1,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,8,1,4,2,3,7,5] => [8,5,3,4,1,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,3,1,2,7,4,5] => [7,3,8,4,1,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,3,1,2,8,4,5] => [7,3,8,4,1,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,1,4,2,3,8,5] => [8,5,3,4,1,6,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,2,5,4,8,3,7] => [5,4,7,8,2,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,8,5,4,1,7,6] => [5,1,4,8,2,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,3,6,8,7,4,2,5] => [3,7,6,8,2,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,5,7,3,4,6] => [6,4,7,8,5,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,1,5,8,3,4,7] => [6,4,7,1,2,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,8,1,2,5,7,3,6] => [5,1,7,8,3,4,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,3,6,4,7,2,5,1] => [4,6,2,3,8,7,5,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,7,8,4,6,2,5,3] => [4,8,6,2,7,5,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,4,8,5,1,6,2] => [8,3,6,1,5,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,1,6,5,4,8,2] => [6,5,1,4,8,3,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,7,5,8,6,4,1,3] => [3,7,2,8,6,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,6,7,5,4,3,1] => [3,8,7,6,2,5,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,8,7,1,6,4,5,2] => [6,8,7,1,4,5,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,8,2,7,4,1,5] => [7,4,1,2,6,8,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,1,3,7,5,6,8,2] => [5,1,6,3,4,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,3,8,1,7,4,2,5] => [7,2,6,1,8,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,7,1,4,2,3] => [7,2,1,8,5,6,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,1,7,3,8,5,2,6] => [1,7,4,6,3,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,7,4,5,3,8,2] => [4,2,6,5,3,8,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,1,2,5,8,4,7] => [5,2,7,8,3,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,7,2,8,5,3,6] => [7,2,6,8,4,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,8,7,2,4,1,3] => [1,5,2,7,8,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,2,1,5,7,3,4] => [7,3,5,1,8,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,4,1,6,3,5] => [7,4,8,2,5,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,4,8,6,5,3,7] => [7,6,3,5,8,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,2,6,4,8,3,1,7] => [4,3,1,7,2,6,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,1,6,5,3,4,8,2] => [5,6,4,3,8,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,4,2,8,7,5,1] => [8,2,3,1,7,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,8,7,5,2,6,1] => [6,1,5,8,2,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,7,4,2,3,5,1] => [5,1,6,4,8,7,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,6,4,5,2,8,7,1] => [3,4,1,2,8,5,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,6,1,3,5,4,2,7] => [7,4,6,3,5,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,8,6,1,2,4,7] => [2,5,1,6,7,4,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,6,3,4,8,7,1] => [2,8,4,1,3,5,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,3,6,8,7,4,1] => [2,8,4,7,1,3,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,7,3,5,2,6,1] => [4,6,1,5,8,7,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,8,7,2,6,4,5,1] => [6,8,4,7,1,5,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,5,4,8,7,2,1] => [3,8,2,1,4,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,3,8,6,1,5,2,7] => [1,7,2,5,6,4,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,6,2,5,3,8,1] => [6,1,4,5,3,2,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,2,6,8,1,4,3] => [8,6,3,2,4,1,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,8,5,3,6,2,4,7] => [4,6,3,7,5,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,2,4,3,8,6] => [5,8,4,1,6,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,3,4,8,6,2,7] => [7,3,2,4,6,8,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,4,1,3,8,6,2,7] => [7,4,2,1,6,8,3,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,1,8,6,3,4,2,7] => [5,1,7,6,4,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,3,7,6,4,5,1] => [6,8,7,2,3,5,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,2,4,7,6,3,1] => [1,8,4,7,3,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,5,6,4,8,1,3] => [3,7,5,2,4,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,7,4,8,2,3,5] => [6,4,2,7,3,8,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,3,5,8,2,6,4] => [4,8,3,6,7,2,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,3,1,4,7,5,8,2] => [2,6,4,5,1,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,3,6,7,5,4,1] => [4,8,7,3,6,1,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,1,4,7,2,8,5] => [8,1,4,6,3,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,8,4,7,2,3,6] => [2,6,4,7,8,5,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,3,6,2,8,4,5] => [7,8,3,5,2,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,7,4,5,8,1,3] => [4,7,5,2,1,3,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,5,7,3,2,4,6] => [6,5,3,7,8,4,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,1,8,5,4,3,6,7] => [6,5,1,4,7,8,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,7,4,1,5,3,8,6] => [5,3,8,1,4,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,1,4,6,3,8,5] => [8,4,6,1,3,5,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,5,6,8,1,3,2] => [3,8,1,6,4,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,3,2,8,5,4,6] => [7,3,6,8,2,4,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,7,4,2,3,8,6] => [8,5,4,1,6,2,3,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[3,8,6,5,1,4,2,7] => [7,5,6,1,4,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,4,8,6,5,2,7] => [7,6,2,3,5,8,1,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,8,6,5,3,2,7] => [7,1,6,5,4,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,5,2,7,3,6,1] => [6,1,3,8,4,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,2,8,5,3,6,4,1] => [8,5,4,7,2,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,2,8,4,3,7,6,1] => [4,1,8,5,7,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,2,8,4,6,1,3] => [7,5,2,8,3,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,5,1,2,8,3,4] => [7,8,4,1,5,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,6,8,3,4,7,1] => [5,3,1,6,8,2,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,8,4,7,2,5,1] => [4,2,6,8,1,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,3,8,4,2,5,1] => [6,3,5,2,1,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,6,3,8,4,7,5,1] => [8,5,2,7,1,3,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,2,3,6,5,8,4,1] => [5,4,8,2,3,1,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,5,8,3,1,4] => [7,6,4,2,1,3,8,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,8,3,6,4,5,7,1] => [5,6,3,4,8,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,1,2,6,4,7,3] => [6,5,1,8,3,4,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,6,8,3,2,7,4,5] => [4,7,2,8,5,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,7,2,8,4,1,3] => [7,2,1,8,4,3,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,1,2,8,4,6,3] => [6,8,7,3,2,4,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,4,8,3,6,2,7,1] => [2,1,4,6,5,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,2,7,4,3,6,1] => [1,6,5,8,3,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,5,8,2,7,3,1] => [2,3,1,8,5,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,3,6,4,8,2,1] => [1,5,3,4,2,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,6,4,8,2,7,3] => [2,4,3,8,6,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,6,2,5,7,8,4] => [5,6,2,3,8,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,5,1,6,4,7,8,2] => [5,1,4,2,6,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,6,5,2,7,8,4] => [6,4,2,3,8,1,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,6,4,3,8,5,7] => [4,7,3,8,1,2,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,3,5,8,7,4] => [8,5,3,7,1,2,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,3,5,1,8,4,7,6] => [3,8,1,2,6,7,4,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,6,1,8,5,4,7] => [7,6,1,2,3,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,2,7,4,6,8,3,5] => [7,4,5,3,8,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,7,5,1,8,4,6] => [7,4,8,1,2,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,7,5,4,8,6,2] => [4,8,1,5,3,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,7,3,6,8,5,4] => [5,8,7,4,1,2,3,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[2,3,6,1,8,5,7,4] => [6,3,8,1,2,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,5,4,8,7,6,2] => [8,1,3,7,4,6,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,6,8,5,4,7,3] => [3,6,5,8,7,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,3,6,8,5,2,7,4] => [3,8,6,2,5,7,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,4,7,6,8,3,1,5] => [7,6,2,4,1,3,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,3,6,8,5,2,4,7] => [6,3,7,2,5,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,6,8,5,4,3,7] => [3,7,6,5,8,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,5,8,2,4,7,6] => [3,8,2,5,6,7,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,6,8,2,5,4,7] => [7,5,2,3,6,8,1,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,4,6,8,3,2,5,7] => [6,2,5,3,7,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,7,4,8,1,2,6] => [2,6,1,4,7,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,6,1,7,5,8,2,3] => [7,1,5,4,2,8,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,6,7,5,8,1,4] => [3,7,5,1,2,4,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,3,7,5,6,8,2,4] => [4,7,5,2,3,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,6,5,8,1,7,4] => [4,3,8,1,2,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,4,6,2,8,1,7,5] => [8,1,2,4,3,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,4,6,8,2,1,7] => [3,1,2,4,7,6,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,4,6,8,1,2,7] => [3,1,2,6,4,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,2,4,7,5,8,3,6] => [5,7,3,4,8,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,6,7,3,8,5,4] => [3,8,7,5,1,2,4,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,2,5,7,3,8,6,4] => [8,3,7,5,1,2,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,1,5,7,6,8,4,2] => [5,1,3,4,8,7,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,4,6,8,2,7,1] => [3,1,2,4,6,8,7,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,1,6,5,8,7,4,2] => [3,8,1,4,7,6,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,3,6,5,8,7,1,4] => [4,3,7,8,1,2,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,2,7,4,6,8,5,3] => [5,8,4,3,7,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,6,7,5,8,4,2] => [3,5,1,4,8,7,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,2,7,5,8,3,1] => [5,1,4,2,8,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,7,6,8,3,5,1] => [6,4,2,3,8,1,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,3,6,8,2,5,7,4] => [6,3,8,2,5,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,5,8,4,7,6,3] => [8,3,5,7,6,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,4,8,7,3,6,5] => [8,6,7,3,5,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,5,8,7,4,3,6] => [7,3,6,8,5,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,3,7,6,8,5,1,4] => [7,4,3,8,1,2,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,7,1,2,8,6,4,3] => [1,8,7,6,3,4,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,2,5,8,7,4,6,3] => [6,8,3,7,5,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,4,8,7,6,3,5] => [7,8,6,3,5,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,5,7,2,8,1,3] => [2,5,3,1,7,4,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,7,4,6,8,1,5] => [7,1,4,5,2,3,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,6,2,7,1,4,8] => [2,4,1,6,3,7,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,7,3,6,8,1,4] => [2,7,4,5,1,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,6,2,4,5,8,1,3] => [4,7,3,5,2,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,3,1,2,8,4,7,6] => [2,8,6,1,7,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,1,3,8,5,7,2] => [6,2,8,4,1,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,1,7,2,4,5,3] => [6,8,5,7,3,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,5,7,2,3,6,4] => [8,5,3,6,7,2,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,5,8,2,3,6,4] => [8,5,3,6,2,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,7,1,8,3,6,4] => [2,8,6,7,1,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,7,1,8,4,5,3] => [6,8,7,2,1,4,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,2,8,4,5,7,3] => [5,6,2,8,7,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,3,6,8,2,7,5] => [4,1,8,3,6,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,4,6,8,2,7,1] => [2,3,1,4,6,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,4,5,8,7,1,2,3] => [2,6,3,1,7,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,4,8,7,1,2,6] => [2,3,1,6,7,8,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,2,8,7,1,4,6,5] => [8,1,5,6,7,2,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,8,7,2,4,6,5] => [8,1,5,6,7,4,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,7,6,1,2,4,8] => [2,5,1,6,7,4,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,8,7,1,4,5,3] => [6,8,5,1,7,2,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,5,8,7,2,3,6,4] => [2,8,5,6,7,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,2,4,7,1,8,5] => [8,1,3,4,2,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,6,4,8,5,3,7] => [7,4,1,3,6,8,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,8,5,3,2,7,6] => [1,5,4,8,6,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,5,7,1,4,8] => [6,1,3,4,2,7,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,1,2,8,4,3,7] => [7,6,1,8,3,2,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,6,3,8,7,4,2,5] => [7,6,2,8,3,5,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,3,8,1,2,6,7,5] => [2,1,6,8,4,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,6,8,7,1,2,5,4] => [8,5,1,2,6,7,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,2,8,5,4,7,1,3] => [7,5,4,1,8,2,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,7,2,4,8,1,3] => [7,4,2,1,5,3,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,5,1,2,4,8,7,6] => [8,1,7,3,2,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,7,5,2,1,4,6,8] => [5,1,4,6,3,7,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,5,2,7,4,1,6] => [7,4,1,3,6,8,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,2,8,4,7,3,1,6] => [4,1,7,6,8,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,4,1,3,6,8] => [5,6,2,1,4,7,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,5,1,2,8,7,6] => [2,1,3,8,7,4,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,4,5,8,7,2,1,6] => [7,1,2,3,6,8,5,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,8,5,7,3,4,6,2] => [5,3,6,8,7,4,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,4,8,7,3,2,5] => [7,3,6,1,8,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,8,5,7,1,2,3] => [2,6,1,7,4,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,8,1,6,3,2,7] => [2,1,7,6,4,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,4,8,6,3,7,2,5] => [5,7,2,4,8,6,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,7,6,3,8,1,2] => [1,7,2,5,4,3,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,3,7,5,8,1,2] => [7,1,3,2,5,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,3,5,8,6,2,7] => [7,3,1,4,6,8,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,7,4,3,8,1,2,6] => [1,6,4,3,7,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,8,2,1,6,5,7] => [2,1,4,7,5,6,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,8,4,2,7,1,5,6] => [4,1,3,6,7,8,5,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,1,2,5,7,6,4,8] => [1,7,4,6,2,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,8,2,7,6,5,4,3] => [8,7,6,5,3,4,1,2] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[3,8,1,6,7,5,4,2] => [4,8,7,1,6,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,2,6,8,5,1,4] => [7,4,8,1,3,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,3,8,5,6,1,4] => [7,5,8,2,3,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,1,7,5,6,4,3] => [5,8,7,2,6,3,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,3,6,5,7,4,2] => [5,4,8,3,7,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,8,5,4,3,6,2] => [6,5,4,2,8,7,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,4,5,3,2,6,7] => [3,6,5,4,7,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,5,4,3,1,6,2] => [8,6,5,4,3,1,7,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,1,6,3,4,2,5,8] => [4,6,5,7,2,3,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,7,1,4,2,5,3] => [8,6,4,1,5,7,3,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,4,1,8,5,7,6,2] => [8,1,2,5,7,6,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,6,5,1,2,8,4,7] => [7,8,1,4,3,2,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,1,7,6,2,4,3,5] => [7,5,6,8,4,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,6,1,4,2,3,7] => [6,7,4,2,5,3,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,5,4,7,1,3,2] => [8,6,4,3,2,7,5,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[1,6,4,5,7,2,3,8] => [3,6,4,2,7,1,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,8,6,5,7,3,4,2] => [6,4,3,8,7,5,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,5,3,6,8,4,2] => [5,3,8,4,2,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,5,8,7,6,3,2] => [8,1,7,3,6,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,2,5,8,6,7,3,4] => [7,3,5,8,6,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,1,5,8,7,3,6] => [7,1,8,2,4,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,4,6,1,7,3,8] => [3,7,2,1,5,4,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,3,6,8,7,4,2] => [2,8,4,7,3,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,4,6,1,8,2,7] => [3,1,2,7,4,8,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,5,7,6,8,2,4] => [7,1,3,5,4,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,6,3,7,2,8,5] => [8,2,4,3,6,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,3,6,5,2,8,4] => [8,6,3,5,4,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,6,2,5,4,1,7,3] => [8,6,3,5,4,2,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,7,2,6,5,4,1,8] => [7,6,1,3,5,4,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,2,5,4,3,1,8] => [7,6,3,5,4,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,2,3,7,5,4,1,8] => [7,6,2,3,1,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,4,7,6,2,8,5] => [8,6,2,3,5,1,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,8,3,6,1,7,5,4] => [8,7,3,5,1,4,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,7,2,5,1,6,4,3] => [8,7,3,5,4,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,2,6,5,1,7,4] => [8,6,1,3,5,4,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,2,5,4,1,6,3] => [8,6,3,5,4,1,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,5,2,6,1,7,3] => [8,1,4,3,6,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,1,3,7,2,8,6] => [1,8,4,2,6,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,3,7,5,2,8,4] => [8,6,3,5,2,1,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,1,3,6,2,8,5,4] => [8,7,3,5,2,4,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,3,6,2,7,5,4] => [8,7,3,5,2,4,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,4,7,3,8,6,5] => [8,7,3,5,1,2,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,1,8,2,6,5,4,3] => [8,7,6,4,5,2,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,1,8,6,2,7,5,4] => [8,7,1,5,4,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,7,8,2,6,5,3] => [8,1,7,5,3,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,1,8,2,7,4,3] => [1,8,7,5,2,6,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,2,7,8,1,6,5,3] => [8,1,7,5,2,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,8,6,1,7,5,4] => [8,7,1,5,2,4,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,7,2,6,5,4,3] => [8,7,6,4,5,3,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,8,7,1,6,5,4,3] => [8,7,6,4,5,1,3,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,8,7,1,6,5,4,2] => [8,7,6,1,4,5,3,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,8,7,5,1,6,3,2] => [8,7,1,5,4,6,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,8,5,1,4,3,2] => [1,8,7,5,2,6,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,6,3,8,4,1,7,2] => [1,8,3,2,6,5,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,8,5,4,1,6,2] => [8,6,2,5,4,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,4,8,6,5,1,7,2] => [8,6,1,2,5,4,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,4,8,6,2,7,5,3] => [8,7,2,5,4,6,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,4,6,7,1,5,3,2] => [8,2,7,5,3,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,6,4,7,8,1,3,2] => [1,3,2,8,6,4,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,4,6,5,1,2,8,7] => [8,1,2,5,4,3,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,3,5,1,2,8,6,4] => [8,2,7,4,3,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,6,2,3,8,7,5] => [8,2,7,4,1,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,3,2,7,4,8,6,5] => [8,7,2,5,1,3,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,2,1,6,3,8,5,4] => [8,7,2,5,3,4,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,1,7,6,4,8,5] => [8,6,1,2,5,3,4,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,2,1,7,3,8,6] => [1,8,3,2,6,4,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,6,7,1,2,8,4,3] => [1,8,7,4,2,5,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,1,2,8,5,4,3] => [8,7,6,3,4,2,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,7,1,3,8,6,5,4] => [8,7,6,1,3,4,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,6,1,2,7,5,4,3] => [8,7,6,3,4,2,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,7,2,3,8,6,5,4] => [8,7,6,3,4,1,2,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,7,1,2,6,5,4,3] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,8,1,2,6,5,4,3] => [8,7,6,3,4,1,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,8,1,6,2,7,5,4] => [8,7,1,5,3,4,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,5,1,2,7,6,3] => [8,1,7,4,3,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,8,1,2,7,4,3] => [1,8,7,4,2,5,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,1,3,7,4,8,6,5] => [8,7,1,5,2,3,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,2,7,3,6,8,1,5] => [1,7,4,5,2,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,6,4,2,8,1,7] => [5,2,1,4,3,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,1,5,3,8,2,7,6] => [3,1,8,4,6,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,3,4,7,5,1,8] => [7,3,4,1,2,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,3,5,4,8,1,7] => [5,3,4,1,2,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,3,1,8,2,7,6] => [3,2,1,8,6,7,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,4,2,7,3,1,8] => [7,4,3,2,1,6,5,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,4,1,8,3,2,6,7] => [6,5,2,1,7,8,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,5,2,8,3,4,7,1] => [5,6,2,1,8,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,2,1,8,3,6,5] => [8,3,2,6,7,4,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,5,3,4,8,2,7,1] => [3,4,2,1,6,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,1,5,3,8,2,7,4] => [8,4,3,6,1,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,4,2,7,3,1,6] => [1,7,4,3,6,8,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,4,7,3,1,5] => [4,7,6,2,3,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,6,2,5,7,4,1,3] => [7,4,8,3,2,6,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,3,2,6,4,1,7] => [3,7,4,2,6,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,3,1,7,2,5,4,6] => [2,7,5,6,8,3,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,5,2,6,4,3,1,8] => [7,6,3,2,5,4,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,6,2,5,4,3,8] => [7,6,4,5,2,3,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,7,3,5,6,4,2] => [5,8,4,7,6,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,1,7,4,5,2,3] => [7,5,8,6,3,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,3,7,2,6,5,4] => [8,7,3,5,6,2,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,6,8,3,2,4,5] => [6,5,7,3,2,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,8,4,2,6,3] => [3,8,6,5,7,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,3,8,4,5,2,6,1] => [4,6,2,5,1,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,8,5,3,4,6,1] => [5,6,4,8,2,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,8,4,3,2,5,7] => [6,5,4,7,1,8,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,7,4,2,5,3,8] => [7,5,4,6,2,1,3,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,7,3,4,6,5,8] => [7,4,5,6,1,2,3,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,7,8,4,3,5,6,2] => [5,4,6,2,8,7,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,2,8,3,5,7,4] => [6,8,5,2,7,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,1,7,3,5,4,8] => [7,5,6,1,3,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,6,8,2,7,5] => [2,1,4,8,6,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,7,5,3,2,1,8] => [7,2,1,6,5,4,3,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,3,8,2,6,4,1,5] => [7,2,4,6,1,8,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,8,2,7,3,1,5] => [7,1,4,2,6,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,8,7,3,4,1,5] => [5,2,7,6,8,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,7,2,5,4,3] => [8,7,5,1,6,3,4,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,8,7,4,5,6,1,2] => [4,7,5,8,1,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,7,6,3,5,4,1,8] => [7,4,6,5,1,3,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,6,5,2,4,3,8] => [7,5,6,4,3,1,2,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,8,6,5,3,2,4,7] => [6,5,7,4,3,8,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,2,5,4,3,1,6] => [7,6,3,5,4,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,3,2,5,4,7,1] => [3,6,4,1,5,8,7,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,4,5,2,3,7,1] => [5,3,1,6,4,8,7,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,5,7,8,4,3,6,2] => [6,2,5,3,8,7,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,8,1,5,4,7,2] => [6,2,5,1,8,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,1,8,5,4,7,3] => [6,5,8,2,1,7,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,5,7,4,1,3,8] => [6,3,2,7,1,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,7,5,8,1,6,3] => [4,8,2,6,1,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,7,1,8,6,3] => [2,8,3,7,1,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,5,7,6,1,3,2] => [3,8,1,6,7,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,6,7,5,3,1,2] => [7,3,8,1,6,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,8,7,5,6,2,3,1] => [6,4,8,1,7,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,4,8,2,1,7,3] => [5,3,2,1,8,6,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,1,4,3,6,7,8] => [2,5,3,4,1,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,5,7,4,2,6,1,8] => [2,5,1,4,7,6,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,4,5,1,2,7,8] => [5,1,3,6,4,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,1,5,7,6,3,8] => [7,2,1,4,6,3,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,3,5,1,7,6,2,8] => [2,1,3,7,6,4,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,4,7,1,6,2,8] => [3,1,2,7,5,6,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,7,5,6,1,2,8] => [6,1,2,4,7,5,3,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,5,8,6,7,1,2] => [7,1,2,3,5,8,6,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,5,4,6,1,8,7,2] => [3,1,2,4,8,7,5,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,3,5,1,6,8,7,2] => [2,1,3,8,5,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,5,6,8,7,3] => [8,2,1,4,5,7,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,7,3,8,4,6,5] => [8,6,7,1,4,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,8,2,7,3,6,5] => [1,8,6,7,4,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,2,8,3,6,5] => [1,8,6,7,4,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,1,3,2,8,4,6,5] => [8,3,6,7,2,4,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,1,8,2,4,3,6,5] => [5,8,4,6,7,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,1,7,2,5,3,6,4] => [8,6,4,5,7,2,3,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,5,2,8,3,6,4] => [8,6,3,7,2,4,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,7,2,8,3,6,4] => [8,6,1,7,4,2,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,8,2,7,3,6,4] => [8,6,1,7,4,5,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,8,2,4,3,7,6] => [5,8,4,1,6,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,8,2,4,3,7,5] => [5,8,4,6,1,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,8,2,5,3,7,4] => [8,6,4,5,1,7,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,6,2,5,3,7,4] => [8,6,4,5,2,3,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,6,2,7,3,5,4] => [8,6,7,4,2,3,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,1,8,2,7,3,5,4] => [8,6,7,4,1,5,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,7,2,8,3,5,4] => [8,6,7,4,2,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,7,2,5,3,8,4] => [8,6,4,5,2,1,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,6,2,4,3,8,7] => [5,8,4,2,1,3,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[7,1,5,2,4,3,8,6] => [5,8,4,2,3,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,6,2,4,3,8,5] => [5,8,4,6,2,3,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,2,5,3,8,4] => [8,6,4,5,2,3,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,6,2,8,3,5,4] => [8,6,7,4,2,3,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,8,2,6,3,5,4] => [8,6,7,4,5,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,2,7,5,4,6,3] => [6,5,8,7,3,4,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,2,7,4,3,5,6] => [6,5,7,8,3,4,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,6,4,7,2,3,5] => [6,4,7,3,8,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,4,2,6,3,5,7] => [6,3,7,4,5,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,8,1,5,2,3,6] => [6,2,7,4,5,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,2,6,3,5,8] => [6,1,7,4,5,2,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,7,4,3,6,2,8] => [5,4,1,7,6,2,3,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,8,3,2,4,1,6] => [5,4,2,7,6,1,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,8,5,4,3,6,2,7] => [5,4,3,7,6,8,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,5,4,3,7,2,6] => [5,4,3,7,8,6,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,5,4,7,2,6,3] => [4,3,8,6,7,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,4,2,5,3,7,6] => [5,3,8,4,6,7,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,5,4,2,6,7,3] => [6,4,3,8,5,7,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,8,2,1,3,5,6] => [5,4,2,6,7,1,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,1,7,3,2,5,6,8] => [5,4,1,6,7,2,3,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,5,4,8,2,3,6,1] => [5,3,2,6,1,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,8,2,1,3,7,5] => [4,2,8,5,1,6,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,1,7,2,6,8,4,5] => [7,1,5,8,4,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,1,7,4,2,6,8,3] => [6,4,1,8,5,2,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,6,3,2,5,8,7] => [4,1,8,5,2,3,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,4,3,7,1,2,8,6] => [3,2,1,8,5,6,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,3,1,6,2,5,7,8] => [5,2,1,6,3,4,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,5,4,3,7,1,8,2] => [4,3,2,1,8,6,5,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,4,2,7,1,6,8,3] => [6,2,1,8,3,5,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,2,8,5,7,1,4] => [7,2,5,1,8,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,4,2,8,3,7,1] => [6,3,2,1,8,4,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,4,3,8,2,7,1] => [4,3,2,1,6,8,7,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,5,4,3,8,7,1,2] => [4,3,2,1,7,8,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,5,4,8,6,1,3,2] => [3,2,8,6,1,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,3,8,5,4,1,2] => [7,8,3,2,1,6,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,3,1,7,4,2] => [4,2,1,8,7,5,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,4,8,2,1,7,3,6] => [4,2,1,7,8,5,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,3,8,1,6,2,7] => [3,2,1,7,5,6,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,3,7,1,6,2,8] => [3,2,1,7,5,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,2,8,5,1,3,7] => [6,2,7,3,1,5,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,4,8,5,1,2,3] => [6,3,7,2,1,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,8,6,3,1,4,5] => [6,5,7,8,2,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,8,6,1,5,3,4] => [7,8,5,6,2,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,1,7,8,3,6,4,5] => [7,8,5,1,3,6,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,1,7,8,2,3,5] => [6,2,7,4,1,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,3,1,5,2,7,6,8] => [4,2,1,7,3,5,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,4,2,7,3,8,1,6] => [5,2,1,7,3,4,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,1,5,3,2,8,6,7] => [4,3,1,7,8,2,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,2,8,7,4,5] => [7,1,3,8,6,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,3,1,7,8,5,2,4] => [7,2,4,1,8,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,1,7,8,2,6,3] => [2,1,8,6,4,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,2,6,1,8,7,3] => [4,2,1,8,3,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,4,1,7,8,3,2] => [5,3,2,1,8,7,4,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,4,3,1,6,7,2,8] => [5,3,2,1,7,4,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,5,4,2,7,8,3,1] => [5,3,2,1,8,4,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,4,2,6,3,8,7,1] => [4,2,1,8,3,5,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,1,5,2,6,8,7] => [4,2,1,8,3,5,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,4,2,1,6,7,8,3] => [3,5,2,1,6,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,3,1,6,7,8,2] => [5,3,2,1,6,8,4,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,6,7,1,2,5,8,4] => [6,8,1,4,2,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,3,1,2,5,6,4] => [6,3,8,4,5,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,1,3,2,4,6,5] => [4,8,3,5,6,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,3,7,1,8,6,4] => [8,7,2,1,3,5,4,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,5,3,6,1,8,7,4] => [4,2,8,1,3,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,7,3,1,8,4,5] => [4,7,2,8,1,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,7,1,3,5,4,8] => [7,4,5,1,2,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,1,2,7,8,6,5] => [2,1,5,8,7,3,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,1,2,7,3,6,4,8] => [7,5,6,2,1,3,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,4,7,8,2,3,6] => [3,6,1,7,4,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,4,7,8,6,1,2] => [7,2,1,3,4,8,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,5,4,6,8,7,1,2] => [3,1,2,4,7,8,6,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,5,4,6,8,2,3,7] => [3,2,6,4,7,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,7,3,2,4,8,5] => [4,8,5,2,6,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,3,6,2,7,8,4] => [6,3,2,4,8,1,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,3,7,2,6,8,4] => [6,8,3,1,5,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,4,7,8,1,6,3] => [8,3,1,6,2,4,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,2,5,7,6,1,8,3] => [1,8,3,6,2,5,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,1,8,2,6,7,4] => [2,6,1,8,5,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,5,7,6,8,1,2] => [1,7,2,3,5,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,5,7,6,2,3,8] => [3,1,6,7,5,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,1,8,6,2,3,7] => [1,6,2,7,5,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,1,8,3,6,4,7] => [7,2,5,1,6,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,6,5,4,2,1,8,3] => [5,8,6,4,3,2,1,7] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,6,5,4,8,1,3,2] => [8,6,4,3,2,1,7,5] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,6,5,8,2,1,4,3] => [5,8,6,3,2,1,7,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,4,3,2,1,7,6] => [5,4,3,2,8,6,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,5,4,1,8,3,2] => [8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[7,6,5,2,8,1,4,3] => [8,4,6,3,2,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,5,8,4,1,3,2] => [8,6,3,2,1,7,5,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,8,6,3,2,1,5,4] => [5,4,8,6,1,7,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,4,3,2,1,6,5] => [5,4,3,8,6,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,2,4,5,1,3,6] => [6,3,4,7,5,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,1,3,2,4,5,6] => [5,3,4,6,7,1,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,4,1,5,2,3,6] => [6,7,4,3,5,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,3,6,1,4,7,8] => [3,5,1,2,6,4,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,7,3,1,4,5,8] => [5,4,6,1,2,7,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,7,3,5,8,1,2] => [4,1,2,7,5,3,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,7,1,5,2,3,8] => [6,2,7,4,1,5,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,7,3,1,4,5,8] => [5,2,4,6,1,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,5,6,1,4,7,8] => [1,5,2,3,6,4,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,1,4,6,7,2,3,8] => [3,6,4,1,7,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,4,6,7,8,1,2] => [3,1,2,4,7,5,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,5,4,6,7,2,3,8] => [3,2,6,4,7,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,7,3,2,4,5,8] => [5,4,6,2,7,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,3,6,2,4,7,8] => [3,5,2,6,1,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,5,4,6,7,1,3,8] => [3,2,6,1,4,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,7,4,5,1,3,8] => [6,4,2,7,1,5,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,7,4,5,1,3,8] => [6,4,7,2,1,5,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,6,7,1,3,8] => [3,1,6,2,4,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,2,6,7,1,3,8] => [1,6,3,2,4,7,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,7,3,2,4,5,8] => [5,4,6,7,2,1,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,1,7,4,5,2,3,8] => [6,4,7,5,2,1,3,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,3,7,4,5,8,1,2] => [4,7,2,1,5,3,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,1,6,7,2,3,8] => [6,4,2,1,7,3,5,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,3,5,4,2,1,6,8] => [6,2,5,4,3,7,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,5,2,1,4,3,8] => [4,7,5,6,3,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,3,6,7,5,2,8,4] => [3,8,6,2,5,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,3,4,1,5,6,2,8] => [2,5,3,7,4,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,2,5,1,6,4,8] => [2,7,3,5,4,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,5,4,1,3,2,8] => [7,5,6,4,3,2,1,8] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,3,6,7,2,5,8,4] => [6,3,8,2,5,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,4,6,2,8,5,3] => [8,3,7,5,4,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,3,1,7,2,6,8,5] => [2,1,6,8,5,3,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,1,4,7,3,8,2] => [4,1,6,5,2,8,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,2,1,7,4,8,6] => [2,8,3,1,6,4,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,4,5,8,7,2,6] => [7,8,2,3,4,6,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,2,5,6,8,7,4] => [1,8,4,5,7,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,3,2,5,6,8,1,7] => [3,2,1,4,5,7,8,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,7,5,4,6,8,1,2] => [4,3,7,1,5,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,4,6,5,8,2,7] => [1,5,3,4,7,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,5,8,6,1,7] => [7,1,2,3,4,6,8,5] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,3,4,5,8,1,7,6] => [8,1,2,3,4,6,7,5] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,7,5,4,6,8,2,1] => [4,3,5,1,2,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,1,7,5,6,8,2] => [2,1,5,6,4,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,7,6,5,8,2] => [1,6,2,5,4,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,5,2,6,8,1,4] => [7,4,1,3,5,2,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,7,5,2,6,8,4,1] => [5,3,8,1,4,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,2,1,4,7,8,6] => [3,2,6,1,8,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,4,2,7,8,6] => [4,2,6,1,8,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,2,4,7,8,6] => [6,2,8,3,1,4,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,1,5,2,6,8,4,3] => [5,3,8,7,2,4,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,2,6,8,3,4] => [7,5,3,8,2,4,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,4,6,1,8,5,3] => [8,3,7,5,1,4,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,6,7,1,5,8,4] => [6,3,8,1,2,5,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,6,7,5,1,8,4] => [3,8,6,1,2,5,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,2,6,7,1,8,5] => [2,1,4,8,3,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,1,5,4,6,8,2,3] => [4,3,7,5,8,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,4,5,8,6,2,7] => [7,2,3,4,6,8,1,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,3,4,5,8,2,7,6] => [8,2,3,4,6,7,1,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,3,4,5,8,6,2,1] => [8,2,3,4,1,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,1,5,4,6,8,3,2] => [4,3,5,8,7,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,6,1,8,2,5,3] => [8,1,6,7,4,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,7,8,2,6,1,5,3] => [8,1,4,6,2,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,4,2,8,3,5,1] => [6,3,8,4,2,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,4,2,7,5,3,1] => [3,8,7,4,2,6,5,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,4,6,1,7,5,3,2] => [8,2,7,6,4,3,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,4,7,1,8,3,2,5] => [2,7,6,1,8,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,8,4,3,6,2,5,1] => [4,3,6,1,8,7,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,1,8,6,3,5,4,7] => [7,5,6,1,4,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,7,3,5,8,6,4] => [8,5,7,1,4,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,7,3,1,5,4,6,8] => [3,6,1,4,5,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,2,1,7,3,5,8,4] => [6,8,2,5,3,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,1,6,4,5,7,8] => [2,1,5,6,3,4,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[3,2,1,5,7,8,4,6] => [1,7,2,4,5,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,7,3,6,8,4,5] => [7,5,8,1,4,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,7,5,1,6,8,3] => [6,2,4,8,1,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,1,8,3,5,7,4] => [6,8,5,1,2,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,6,8,3,7,4,5] => [7,3,8,1,5,6,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,5,6,8,4,7] => [2,1,4,5,7,8,3,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,6,3,5,8,4,7] => [5,7,1,3,8,2,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,8,4,7,5,1,6,2] => [8,3,6,1,5,7,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,3,6,1,7,5,2] => [2,8,3,7,5,4,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,1,7,3,5,4,6] => [7,2,5,6,8,3,4,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,1,8,3,5,4,7] => [7,5,6,1,2,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,7,5,1,6,3,8] => [7,2,5,1,4,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,4,1,7,5,3,6] => [3,7,2,6,8,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,7,1,8,5,3,6] => [7,2,6,8,1,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,8,5,1,6,3,7] => [7,2,5,1,4,6,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,2,1,7,3,4,8,5] => [8,2,5,6,3,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,2,1,7,8,3,5,4] => [8,6,2,4,1,7,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,1,8,3,5,6,4] => [6,8,5,7,1,3,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,3,6,4,5,7] => [6,7,1,4,5,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,6,7,4,5,8] => [1,6,2,4,7,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,1,7,4,5,6,8] => [2,1,5,6,7,3,4,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,2,1,6,8,4,5,7] => [1,6,2,4,7,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,8,3,6,7,4,5] => [7,5,8,1,4,6,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,8,5,1,6,7,3] => [6,2,4,8,1,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,1,8,4,5,6,7] => [2,1,5,6,7,8,3,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,6,8,3,7,2,4,5] => [4,6,2,7,8,5,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,1,5,7,2,4,6] => [6,1,4,7,8,3,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,2,6,8,4,7,3,5] => [5,3,7,8,6,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,4,8,3,6,7,5] => [6,8,3,5,7,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,2,7,8,3,6,5] => [1,8,6,4,7,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,8,4,7,6,1,2] => [4,1,7,8,2,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,1,2,5,4,6,3] => [6,5,8,3,4,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,1,2,3,7,6,4] => [8,7,3,1,4,5,6,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,2,8,4,3,5,7,6] => [4,8,5,6,7,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,5,3,7,6,4,8] => [3,7,6,1,2,4,5,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[6,1,2,8,7,4,5,3] => [6,8,7,5,2,1,3,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,1,6,2,8,4,5,3] => [6,8,7,4,2,3,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,2,8,5,3,6,4,7] => [7,5,4,6,8,1,2,3] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,7,3,8,5,4,6] => [7,6,8,4,1,2,3,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,7,8,6,3,5] => [1,7,4,8,6,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,2,8,4,3,5,7] => [6,5,7,2,8,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,4,2,7,3,5,8] => [6,3,7,4,1,2,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,8,6,3,2,4,5,7] => [5,4,6,7,3,8,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,7,8,6,2,4,5] => [6,7,1,3,8,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,6,3,2,4,5,8] => [5,4,6,7,3,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,5,1,7,2,4,6,3] => [6,8,5,2,7,3,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,8,7,4,6,1,2] => [1,7,5,8,2,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,4,7,5,1,2] => [4,7,3,8,1,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,1,8,2,7,4,5,3] => [6,8,7,4,1,5,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,2,7,5,3,6,4,8] => [7,5,4,6,1,2,3,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,3,7,5,4,8] => [7,6,4,1,2,3,5,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,3,7,5,4,8,6] => [5,8,6,1,2,3,4,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,7,4,8,6,5,1,2] => [7,8,3,1,2,6,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,2,7,6,4,5,3] => [6,8,7,5,3,4,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,8,7,6,5,1,4,3] => [8,6,7,5,4,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,6,3,2,5,4,8] => [4,7,5,6,2,3,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,3,6,5,2,7] => [3,7,4,6,5,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,1,4,3,5,2,8] => [5,4,7,3,6,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,1,2,4,6,5,8] => [7,3,2,4,5,6,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,6,7,4,1,5,8,2] => [6,4,1,2,8,5,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,2,7,4,3,6,5] => [5,8,6,7,3,4,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,8,2,3,7,1,4] => [4,5,2,1,7,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,4,8,5,3,1,7,2] => [8,2,1,6,5,4,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,7,8,6,1,3,2,4] => [1,7,5,6,2,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,4,8,1,6,3,7,5] => [8,2,6,1,4,5,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,2,8,6,4,7,5] => [8,1,6,5,7,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,6,4,8,1,7] => [2,5,3,1,4,7,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,1,6,3,5,8,2,7] => [4,1,5,3,7,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,4,5,2,6,7,3] => [3,6,4,8,5,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,2,7,6,5,8,3] => [1,6,5,4,8,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,8,4,3,6,2,7,5] => [3,8,4,6,5,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,7,3,2,8,1,4] => [1,5,4,2,7,3,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,2,1,4,8,6,7] => [3,2,7,1,8,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,1,4,2,8,6,7] => [4,2,7,1,8,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,6,1,3,8,5,4,2] => [8,7,4,6,3,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,4,7,8,1,2,6,5] => [8,1,2,5,6,3,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,7,8,1,4,5,2] => [6,2,8,1,5,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,2,8,1,5,4,7] => [7,1,3,5,2,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,6,8,5,1,4,7] => [6,3,7,1,2,5,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,3,5,8,4,6,1,2] => [3,7,2,5,1,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,5,8,2,1,3,6] => [2,6,5,3,7,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,5,2,4,6,3,7] => [5,7,4,3,6,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,4,2,3,5,7,6] => [8,4,3,5,6,7,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,4,2,8,3,5,1,7] => [5,2,7,3,1,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,5,4,8,3,6,2,1] => [3,2,5,1,8,7,6,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,7,4,8,5,3,6,1] => [6,3,5,2,8,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,5,4,8,3,6,2] => [4,3,6,8,7,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,5,6,8,3,4,1,7] => [2,5,3,7,1,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,6,7,2,4,3,1] => [2,8,5,3,7,6,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,7,8,4,1,3,2] => [2,1,8,6,3,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,8,2,4,1,3] => [5,2,7,3,1,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,2,6,8,5,1,7] => [2,1,4,7,3,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,6,8,2,4,1,7] => [2,5,1,3,7,6,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,7,8,1,4,5,3] => [6,2,8,5,1,3,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,6,7,8,1,4,2,5] => [7,5,1,2,6,3,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,5,7,8,2,1,4,6] => [2,6,1,5,7,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,7,8,1,4,3,5] => [7,5,2,6,1,3,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,7,8,3,1,4,2] => [2,1,8,6,5,3,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,5,7,8,3,1,4,6] => [2,6,5,7,1,3,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,7,3,8,1,5,2] => [2,4,1,8,6,3,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,2,5,4,8,1,7] => [2,5,3,4,1,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,5,2,3,8,1,7] => [4,2,5,3,1,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,5,3,2,8,1,7] => [2,5,4,3,1,7,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,6,3,8,2,1,7] => [2,1,4,3,7,6,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,3,8,1,6,2] => [2,1,4,8,6,3,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,6,2,8,3,1,7] => [2,1,7,4,3,6,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,2,6,8,4,1,7] => [2,4,1,7,3,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,7,2,8,1,3,6] => [4,2,1,6,7,3,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,7,8,1,3,2,5] => [7,1,5,2,6,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,8,1,3,5,2] => [6,1,2,8,5,3,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,6,7,8,1,3,5,4] => [8,5,2,6,1,3,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,7,8,1,5,3,4] => [7,2,8,5,1,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,7,8,1,2,5,3] => [8,1,5,2,6,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,2,8,1,6,3] => [2,1,8,4,6,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,2,7,8,1,6,5] => [1,8,2,6,3,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,7,8,1,2,5,4] => [8,5,1,2,6,3,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,7,8,1,5,2,4] => [7,2,8,1,5,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,8,1,5,4,2] => [2,8,7,1,5,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,7,1,5,3,8,6] => [5,1,8,2,4,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,2,1,5,8,6,3] => [1,8,3,5,7,4,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,1,3,5,8,6,4] => [8,2,5,7,3,4,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,6,4,7,1,5,8] => [4,6,1,2,3,7,5,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,4,8,2,7,5,6] => [7,8,2,3,5,6,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,8,3,6,5,1,7,2] => [8,1,3,6,5,4,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,7,3,5,1,8,2] => [2,4,1,8,6,5,3,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,7,5,1,8,2,3] => [2,7,1,8,5,4,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,6,1,7,5,8,2,4] => [7,5,1,4,2,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,5,1,6,8,2,4] => [7,2,5,3,8,4,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,2,5,6,1,4,8] => [2,6,3,4,7,5,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,2,8,1,5,3,7] => [1,7,3,5,2,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,1,2,7,5,3,6] => [7,6,2,8,3,4,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,5,6,2,7,1,3,8] => [1,4,2,6,3,7,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,2,7,4,8,3,5] => [5,7,4,2,8,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,1,7,8,5,3,4] => [7,4,8,2,1,6,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,3,8,4,1,5,2] => [8,3,1,6,5,2,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,7,8,4,1,5,6,3] => [6,4,8,5,1,2,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,1,8,5,6,3,4] => [7,5,8,6,1,3,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,5,1,6,7,3,4] => [7,5,2,3,8,4,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,4,5,1,6,7,3] => [3,6,2,4,8,5,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,8,3,7,1,6,5] => [1,8,4,6,7,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,3,4,8,1,6,5] => [8,2,3,4,6,1,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,6,3,8,4,5,1,2] => [7,3,5,2,1,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,3,8,5,1,6,4] => [8,6,2,3,5,1,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,4,8,1,5,7,3] => [3,6,2,8,1,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,3,8,4,1,5,6] => [6,2,3,5,7,1,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,3,5,8,1,4,6] => [6,2,3,4,7,1,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,6,3,7,1,5,8] => [4,1,6,2,3,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,3,5,8,1,6,4] => [4,8,2,3,6,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,3,8,4,1,6,5] => [5,8,2,3,6,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,4,8,1,3,7,5] => [3,8,5,1,2,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,6,5,1,2,3,8,4] => [8,4,5,6,3,2,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,5,1,4,2,8,3] => [8,6,4,5,3,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,5,6,4,1,2,7,8] => [5,1,2,6,4,3,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,5,4,1,2,6,3] => [8,5,6,4,3,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,5,6,4,1,2,8,7] => [2,8,1,5,4,3,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,6,5,1,4,2,3,8] => [6,7,4,5,3,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,1,2,4,3,8] => [7,4,5,6,3,2,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,5,1,2,4,8,3] => [6,8,4,5,3,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,1,3,2,8,4] => [5,8,4,6,3,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,1,3,4,2,8] => [5,7,4,6,3,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,6,4,3,1,5,8,7] => [4,3,8,1,5,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,4,3,1,8,5,7] => [4,3,7,1,2,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,4,3,1,8,7,5] => [3,8,4,1,2,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,8,4,1,2,7,6] => [2,8,1,5,4,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,8,4,1,2,6,7] => [5,1,2,6,4,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,8,4,1,6,7,2] => [2,6,1,4,8,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,8,4,1,7,3,6] => [2,7,4,8,1,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,4,2,1,7,8,5] => [4,1,3,6,2,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,4,2,1,7,5,8] => [4,1,3,7,5,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,6,4,1,8,7,2] => [2,4,1,3,8,7,5,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,4,5,1,3,7,8] => [5,3,6,1,4,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,6,5,1,4,3,8,2] => [6,5,8,4,3,2,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,5,1,2,8,4,3] => [8,7,4,5,3,2,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,5,1,2,8,3,4] => [7,8,4,5,3,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,1,8,2,4,3] => [8,6,7,4,3,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,5,1,8,3,2,4] => [7,6,8,4,3,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,5,1,4,8,2,3] => [7,5,8,4,3,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[3,6,4,5,1,7,2,8] => [3,7,1,5,4,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,4,1,7,8,3] => [2,6,4,1,3,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,5,4,1,6,3,2] => [8,7,5,4,3,1,6,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[3,6,4,5,1,7,8,2] => [3,6,1,4,2,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,5,1,4,8,3,2] => [5,8,7,4,3,2,1,6] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,6,5,1,8,3,4,2] => [6,8,7,4,3,2,1,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,6,5,1,8,4,2,3] => [7,8,6,4,3,2,1,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[4,1,7,6,2,8,5,3] => [8,1,7,5,4,2,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,8,6,2,1,3,5,4] => [4,8,5,6,1,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,6,1,2,8,4,5] => [7,8,1,4,5,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,5,3,1,4,8,7] => [4,8,5,1,3,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,1,5,3,2,8,7] => [1,5,4,8,3,2,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,4,5,7,8,1,3] => [3,4,2,7,1,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,7,1,6,5,2,4,3] => [8,6,7,5,3,4,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,5,6,8,1,3,4] => [6,3,7,2,4,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,6,5,7,3,2] => [2,5,4,8,7,3,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,8,3,4,7,5,1,6] => [7,3,4,6,8,1,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,8,2,7,4,3,5,1] => [6,5,1,8,3,7,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,2,6,4,7,3,5,1] => [4,6,3,8,2,7,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,1,7,3,2,5] => [7,1,6,8,4,3,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,3,2,1,5,4,6] => [4,3,7,5,6,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,5,1,7,2,4,6] => [6,7,1,3,8,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,7,1,3,2,4,5] => [6,4,5,1,7,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,2,3,8,4,7,5,1] => [8,5,7,2,1,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,4,3,1,7,2,5] => [7,4,3,8,5,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,7,4,6,1,2,5] => [6,2,4,7,8,5,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,1,3,8,6,4,5,2] => [6,8,7,3,5,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,3,5,8,6,7,4,1] => [5,8,3,7,1,2,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,7,2,5,8,3,1] => [5,1,2,8,4,3,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,2,5,3,8,1,4] => [5,7,3,4,2,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,1,3,4,8,7,5] => [8,2,7,3,4,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,4,2,8,3,1,7] => [7,4,3,2,1,6,8,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,4,3,1,8,7,2,6] => [3,2,1,7,8,6,4,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,7,6,8,1,5,3,4] => [7,8,5,3,1,2,6,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,5,8,3,1,2,7] => [2,6,3,1,7,5,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,8,7,4,5,1,6] => [5,7,1,6,8,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,8,5,7,4,2,1] => [4,1,8,7,2,6,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,1,4,8,7,5,3,6] => [7,6,8,1,3,5,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,8,3,7,5,4] => [3,8,7,1,5,6,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,8,2,4,1,5,7] => [4,6,1,5,2,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,5,4,8,1,3,7] => [6,4,3,1,2,7,8,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,5,3,4,8,1,7,2] => [3,4,2,1,8,6,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,8,1,5,3,6,7] => [6,2,1,4,5,7,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,1,8,2,6,4,3,7] => [7,6,4,1,5,8,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,4,8,6,2,1,3,5] => [2,6,5,7,1,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,2,8,3,7,5,1] => [8,1,5,2,7,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,5,8,3,6,4,7] => [3,7,1,5,6,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,8,5,3,6,7,1,4] => [7,4,3,5,8,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,5,6,4,1,3,2] => [8,6,3,1,7,5,4,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[5,8,4,1,6,3,7,2] => [1,6,5,3,8,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,1,3,5,7,6,2] => [1,8,4,5,7,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,8,3,5,1,4,2] => [4,8,6,2,1,7,5,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,6,3,5,1,4,2] => [4,8,6,1,7,5,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,3,8,7,6,1,4,2] => [1,8,6,7,2,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,8,4,7,1,3,2] => [2,1,8,6,4,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,4,2,5,3,1,8] => [7,4,3,1,6,5,2,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,6,4,8,3,1,5,2] => [3,8,6,5,2,1,7,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,4,8,5,6,1,3,2] => [8,2,6,4,1,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,2,5,6,3,1,8] => [4,2,7,3,6,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,2,5,6,4,1,8] => [4,7,1,3,6,5,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,3,5,6,1,4,2] => [8,3,6,4,1,7,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,8,5,2,7,4,3] => [2,8,7,5,4,6,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,8,5,1,7,4,3] => [8,7,5,2,1,4,6,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,7,4,8,2,1,5,3] => [5,3,1,8,6,2,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,2,7,8,6,1,5,4] => [8,6,1,3,7,2,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,4,1,2,3,7,5] => [8,4,5,3,1,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,2,5,6,4,3,7] => [4,7,6,3,5,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,8,5,3,7,4,2] => [8,5,4,1,7,6,2,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,8,1,5,2,7,6,4] => [4,8,1,7,3,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,1,5,3,7,6,4] => [4,8,2,7,3,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,2,4,6,7,8,3] => [4,5,2,6,8,1,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,1,5,3,6,7,8,2] => [4,3,1,5,6,8,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,1,6,5,3,7,2,4] => [5,7,4,3,8,2,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,4,3,1,2,8,5] => [8,5,4,3,6,2,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,5,3,1,6,7,8,2] => [1,5,3,2,6,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,3,2,6,7,8,4] => [3,5,2,6,8,1,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,5,4,6,1,2,8,3] => [8,5,3,2,6,4,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,8,4,7,2,1,3,5] => [6,5,3,1,7,8,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,8,7,5,6,1,2,4] => [6,7,4,8,1,5,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,7,5,6,1,3,4] => [6,7,4,8,2,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,7,4,6,2,3,8,5] => [3,8,5,6,4,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,6,4,2,1,5,8,3] => [4,6,3,8,5,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,4,6,1,3,8,2] => [1,6,3,8,5,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,4,7,3,1,2,5] => [6,3,7,5,2,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,2,4,3,7,1,8,6] => [3,8,2,1,4,6,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,4,2,7,1,8,6] => [3,1,2,8,4,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,6,4,1,3,5,2,7] => [5,7,4,3,6,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,4,1,5,3,8,2] => [6,5,3,1,8,4,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,4,1,2,6,8,3] => [6,8,4,3,2,5,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,4,2,3,6,8,5] => [6,3,8,4,5,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,2,5,3,7,6,4] => [4,8,7,3,5,6,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,8,1,5,4,7,3,2] => [5,4,1,8,7,3,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,2,1,5,6,4,3,7] => [4,7,2,6,3,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,1,5,6,4,2,7] => [4,7,1,6,3,5,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,4,1,2,5,3,7] => [7,4,5,3,1,6,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,4,1,5,2,8,3] => [8,6,4,3,5,2,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,6,1,5,4,7,2,3] => [7,5,4,8,3,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,4,1,3,6,7,8,2] => [4,5,2,1,6,8,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,1,5,3,7,2,6] => [5,4,2,7,8,3,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,5,4,1,3,2,8,6] => [5,8,4,3,2,6,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,2,5,1,4,7,8,6] => [1,6,2,3,8,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,1,4,3,5,2,8,6] => [4,3,5,8,2,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,3,5,4,7,2,6] => [5,3,4,7,8,2,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,8,1,6,4,3,7,5] => [5,8,6,1,3,4,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,1,3,8,7,5,4] => [8,7,6,1,3,2,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,5,7,1,3,8,6,4] => [2,8,7,1,4,5,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,8,1,5,7,4,3] => [5,2,8,7,1,4,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,1,6,4,8,3,5] => [5,7,4,8,1,3,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,1,6,5,3,8,4] => [8,6,5,1,3,4,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,8,1,7,6,5,4,3] => [8,7,6,5,1,3,4,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[4,1,7,2,8,6,5,3] => [8,1,7,6,4,2,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,7,1,8,6,5,4,2] => [8,7,6,1,5,3,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,6,8,5,1,4,7,2] => [6,2,8,1,5,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,5,8,2,1,4,6] => [6,2,5,3,7,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,6,2,1,4,5,8] => [2,5,4,6,7,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,2,8,1,6,5,3] => [2,8,7,3,5,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,5,3,2,1,6,4] => [5,4,8,6,3,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,2,6,3,1,4,8] => [6,3,5,2,7,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,6,2,1,8,3,5] => [4,2,7,8,5,3,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,8,4,5,2,1,7,3] => [5,3,1,8,6,4,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,6,8,5,1,7,3,2] => [2,8,1,7,5,4,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,7,6,3,8,2,4] => [5,1,7,4,3,8,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,7,6,4,2,8,3] => [1,8,6,5,4,2,3,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,1,8,7,6,4,3,2] => [8,1,7,6,5,4,2,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,5,2,1,7,6,4,3] => [8,7,3,2,6,4,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,1,8,6,3,2,7,4] => [5,1,8,6,4,7,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,1,7,4,8,2,5] => [5,7,1,4,2,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,5,7,3,1,6] => [4,2,7,3,6,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,4,6,8,5,7,1,2] => [3,7,1,2,5,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,4,8,2,7,3,6,1] => [2,1,6,8,4,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,8,7,3,6,1,2] => [1,7,2,5,8,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,4,7,3,6,2,1] => [3,2,5,8,7,6,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,4,3,8,7,1,2,5] => [3,2,6,1,7,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,4,2,8,1,3,6] => [4,1,6,3,7,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,2,7,1,3,8,4] => [8,3,5,2,1,6,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,5,4,2,1,7,3] => [5,8,6,4,3,2,7,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,4,7,3,1,8,2,5] => [2,7,4,1,8,5,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,4,3,8,6,1,2] => [1,4,3,7,2,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,4,6,3,2,1] => [2,4,1,8,7,6,5,3] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,6,4,8,3,5,2,1] => [3,5,2,1,8,7,6,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,5,3,8,2,4,1] => [4,6,3,2,1,8,7,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,3,8,5,1,4,2] => [8,3,6,2,1,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,4,8,1,3,2,5,7] => [6,4,2,5,1,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,4,8,6,3,1,5,2] => [8,2,6,5,1,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,2,7,6,5,3,1,8] => [7,1,6,5,2,4,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,2,4,6,5,1,8] => [7,1,3,4,6,5,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,6,8,4,2,5,3,7] => [7,5,4,2,6,8,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,2,8,4,1,5,7,3] => [6,4,8,2,1,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,4,8,5,1,2,3] => [6,3,1,7,2,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,2,7,8,5,1,6,4] => [8,6,1,5,2,3,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,8,1,5,4,6,7] => [1,6,2,4,5,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,1,4,8,5,3,7,2] => [6,3,5,1,8,7,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,8,5,2,6,7,3] => [6,2,4,8,5,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,8,4,3,7,2,5] => [5,4,7,1,8,6,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,1,4,3,5,6,8] => [2,5,3,4,6,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,5,3,6,8,2,7] => [4,3,1,5,7,8,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,1,8,5,3,2,7,4] => [5,8,6,4,1,7,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,2,6,4,1,8,7,5] => [8,1,4,2,3,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,6,4,3,1,8,2,5] => [7,4,3,8,5,2,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,5,2,1,8,7,6,4] => [2,8,1,7,3,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,2,8,6,4,7] => [7,3,2,6,8,1,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,4,2,1,7,8,6,3] => [5,2,1,8,3,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,2,7,1,4,5,3] => [6,8,3,5,2,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,7,3,6,2,8,5,4] => [8,7,3,5,4,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,6,3,2,1,8,5,4] => [3,8,4,7,5,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,2,3,4,7,1,8,6] => [8,2,3,1,4,6,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,6,3,1,4,5,7,2] => [5,3,6,8,4,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,3,1,5,4,2,8] => [3,7,6,4,1,5,2,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,8,3,1,2,4,7,6] => [8,4,3,1,5,6,7,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,1,3,2,4,5,6,7] => [4,2,3,5,6,7,8,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[8,4,1,7,2,3,6,5] => [8,5,2,6,7,3,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,1,5,6,4,7,2] => [4,6,1,5,8,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,4,1,2,5,7,3] => [6,8,4,3,1,5,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,2,8,1,6,5,7,4] => [6,1,5,8,2,4,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,6,4,1,5,2,3,8] => [6,7,4,3,5,2,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,1,5,4,7,3,2] => [5,4,8,7,3,2,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,1,4,7,6,3,8] => [7,2,4,1,6,3,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,8,2,1,3,7,6] => [1,4,2,8,5,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,2,3,1,4,6,7] => [3,5,4,1,6,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,1,3,5,8,7,6] => [8,2,1,7,3,4,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,4,1,3,6,2,8,7] => [4,5,2,1,8,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,2,5,1,4,6,8,7] => [1,8,2,4,3,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,1,3,5,4,6,2,8] => [5,3,4,7,2,6,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,2,5,7,6,8] => [3,7,2,1,4,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[6,8,2,4,5,1,3,7] => [6,3,4,1,7,5,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,2,5,1,4,8] => [4,6,1,2,7,5,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,7,3,1,5,2,8] => [7,1,5,4,2,6,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,1,2,4,7,3,6] => [5,7,1,8,3,4,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,1,3,5,2,7,4] => [8,4,6,3,1,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,3,1,4,5,7,2] => [5,3,6,1,8,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,1,8,2,3,6,4] => [8,5,6,2,7,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,8,2,3,4,7,5] => [8,4,5,6,1,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,8,4,2,6,7,1] => [5,2,1,4,6,8,7,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,1,8,3,5,7,2,6] => [4,1,5,7,8,6,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,7,2,6,1,8,5] => [8,1,2,4,6,5,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,5,7,2,3,6,8,1] => [1,4,2,5,6,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,3,4,7,5,8,1] => [6,3,4,1,2,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,6,4,2,7,5,8,1] => [3,6,1,4,2,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,2,7,1,6,8,3] => [1,6,2,8,3,5,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,2,8,5,7,3,6] => [5,1,7,8,6,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,3,1,7,4,2,8] => [3,1,7,6,4,2,5,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,2,8,7,1,5,3] => [2,8,6,1,7,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,4,8,1,5,3,6] => [3,7,2,5,6,1,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,3,7,5,1,4,8] => [6,7,3,1,2,5,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,3,8,5,2,4,6] => [6,7,3,5,8,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,6,7,1,8,4,5] => [7,1,3,8,2,5,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,1,6,7,8,4,2] => [2,4,1,5,8,7,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,1,3,4,8,7,5,6] => [7,8,1,6,2,3,4,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,8,3,7,6,5,1,2] => [7,8,1,3,6,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,3,8,7,5,4,1,2] => [7,1,8,6,2,5,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,6,1,5,4,3] => [8,7,5,6,4,1,3,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,2,8,7,6,1,4,3] => [1,8,6,7,5,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,8,7,5,1,4,3] => [8,6,1,7,5,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,1,8,7,5,4,3,2] => [1,8,7,6,5,4,2,3] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[3,1,8,7,6,5,4,2] => [8,7,6,1,5,4,2,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,8,2,6,1,5,4,3] => [8,7,3,5,1,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,8,7,1,5,4,3] => [8,7,5,1,6,2,4,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,2,8,1,7,6,5,3] => [8,1,7,6,2,4,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,8,2,7,6,1,5,3] => [8,1,6,7,3,5,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,2,1,6,5,4] => [8,4,7,1,5,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,8,7,1,4,3,2] => [2,1,8,7,5,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,4,1,6,5,3,2] => [3,8,7,6,4,1,5,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,3,8,1,7,5,4,2] => [8,7,2,1,6,4,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,3,1,8,7,6,4,2] => [1,8,7,2,6,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,3,1,8,7,4,2] => [8,3,2,1,7,6,4,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,4,3,1,8,7,5,2] => [2,8,3,1,7,6,4,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,3,1,8,7,6,2] => [2,1,8,3,7,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,2,1,8,7,6,3] => [2,1,8,7,3,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,2,1,8,6,5,4] => [8,2,7,3,6,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,2,1,8,7,5,4] => [8,2,7,3,1,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,4,2,3,5,8,7] => [8,4,2,3,5,1,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,6,1,4,2,3,5,7] => [5,6,3,4,7,2,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,1,4,2,3,5,7] => [5,6,3,4,1,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,4,2,3,6,5,7] => [7,4,2,3,5,6,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,1,8,2,3,6,5,7] => [7,4,1,5,6,8,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,6,2,3,8,1,5,7] => [3,1,4,6,2,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,8,2,3,6,1,5,7] => [3,1,4,6,7,5,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,2,3,6,4,1,5,7] => [6,2,3,5,7,4,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,3,6,2,1,5,7] => [3,2,6,5,7,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,3,8,4,1,5,7] => [6,2,3,5,1,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,2,3,6,1,5,7] => [3,4,2,6,7,5,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,2,3,8,1,5,7] => [3,4,2,6,1,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,4,3,8,1,5,7] => [4,3,6,1,2,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,4,3,6,1,5,7] => [4,3,6,7,1,5,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,3,8,4,1,5,7] => [6,3,5,1,2,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,3,8,4,2,1,5,7] => [6,2,5,4,1,7,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,3,6,4,2,1,5,7] => [6,2,5,4,7,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,3,6,4,1,5,7] => [6,3,5,7,1,4,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,3,6,2,1,4,5,7] => [2,5,4,6,7,3,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,4,7,8,5,1,2] => [7,3,1,2,4,8,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,6,4,2,7,5,8,3] => [3,6,5,2,8,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,8,5,3,7,1,2] => [7,2,1,5,4,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,5,3,6,1,7,8] => [4,2,1,3,6,5,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,1,5,3,6,2,8,4] => [8,4,3,6,2,5,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,5,2,4,8,7,3] => [8,5,3,2,7,1,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,4,6,2,8,5,7,3] => [6,2,3,8,7,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,1,4,2,5,6,3] => [6,4,8,3,5,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,8,5,2,1,6,7] => [6,1,2,5,4,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,1,3,5,8,2,7,4] => [4,8,3,6,1,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,8,7,4,2,3,5] => [6,7,5,1,8,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,2,8,5,7,3,6,4] => [4,8,6,7,5,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,2,5,4,7,6,3] => [4,8,5,7,3,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,2,4,5,8,6,3] => [8,4,5,7,2,3,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,7,3,5,8,6,4] => [8,5,7,4,1,2,3,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,6,2,1,7,5,3,8] => [1,7,3,6,4,2,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,3,7,8,5,2,4] => [7,4,2,8,3,6,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,2,3,7,8,1,5] => [1,7,3,4,2,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,1,3,5,7,8,6] => [2,6,1,8,3,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,3,2,4,5,1,8,6] => [3,2,4,5,8,6,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,8,2,5,4,1,7,6] => [5,1,3,4,8,6,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,4,2,6,3,1,5] => [7,4,3,6,1,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,6,3,8,7,1,5] => [1,7,3,8,2,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,2,7,4,3,1,6] => [1,7,6,3,5,8,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,3,8,5,1,7,2,6] => [1,7,2,4,8,5,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,6,8,1,2,7,5] => [1,8,2,5,3,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,3,5,2,8,1,7] => [3,2,5,4,1,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,3,8,4,2,1,7] => [7,3,2,1,6,5,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,8,1,7,5,6,4,2] => [5,8,7,1,6,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,5,7,3,6,4,1] => [3,8,5,7,2,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,6,7,5,3,4,2] => [6,3,8,7,5,4,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,2,6,7,5,3,4,1] => [6,3,8,7,2,5,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,5,8,7,2,6,4,3] => [8,2,7,5,6,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,8,6,2,3,7,1] => [2,1,5,6,4,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,7,6,1,3,5,4,8] => [7,4,5,6,1,3,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,8,2,5,7,3] => [6,2,8,5,1,7,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,6,1,3,5,4,7] => [7,4,5,6,1,3,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,3,6,5,8,7,2] => [4,1,8,3,5,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,3,5,8,7,4] => [8,5,1,3,7,2,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,1,3,8,5,7,6] => [2,8,1,6,7,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,1,3,5,8,7,6] => [2,8,1,7,3,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,6,1,3,5,8,7,2] => [1,8,4,5,2,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,1,3,5,8,7,2] => [8,4,2,5,1,7,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,1,3,5,8,7,4] => [8,2,5,7,3,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,1,3,6,5,7,8] => [2,6,3,1,4,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,2,1,6,3,5,7,8] => [2,5,1,6,3,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,2,1,8,3,5,7,4] => [6,8,2,5,1,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,1,3,8,5,7,4] => [6,8,2,7,3,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,4,3,8,5,7,2] => [3,6,2,8,4,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,1,3,6,5,7,2] => [6,4,2,5,8,3,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,1,3,6,5,7,4] => [6,2,5,8,3,4,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,1,6,3,5,7,4] => [6,8,2,5,3,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,4,1,3,5,7,6] => [8,2,4,3,5,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,6,1,3,5,7,4] => [6,8,2,4,5,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,1,3,5,7,2] => [5,2,6,8,4,3,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,1,6,3,5,7,2] => [5,2,6,4,8,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,6,4,8,3,5,7,2] => [3,5,2,6,8,7,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,4,1,8,3,5,7,2] => [5,2,6,1,8,7,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,8,1,3,5,7,2] => [5,2,6,1,8,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,8,1,3,5,7,4] => [6,8,2,4,1,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,1,3,5,7,6] => [8,2,1,4,5,6,7,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,6,8,1,3,5,7,4] => [6,8,4,1,2,5,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,1,6,8,3,5,7,2] => [1,5,3,6,8,7,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,6,3,8,5,7,2] => [6,2,3,8,4,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,1,8,3,5,7,6] => [2,8,1,5,6,7,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,6,8,3,5,7,4] => [6,3,8,1,5,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,3,6,8,5,7,2] => [4,1,6,8,3,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,8,6,5,7,2] => [1,6,5,8,3,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,3,6,5,7,4] => [6,5,8,1,4,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,4,3,5,7,8] => [5,1,4,6,2,3,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,6,1,4,3,5,7,8] => [5,1,3,4,6,2,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,8,1,4,3,5,7,6] => [4,8,1,3,5,6,7,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,8,1,6,3,5,7,4] => [6,8,5,1,3,4,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,8,1,3,6,5,7,2] => [1,6,4,5,8,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,8,6,3,5,7,2] => [5,6,2,4,8,7,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,6,1,3,5,7,4] => [6,8,4,5,1,3,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,1,3,5,7,6] => [8,4,1,3,5,6,7,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,6,4,1,3,5,7,8] => [4,5,1,3,6,2,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,6,2,1,3,5,7,8] => [4,3,1,5,6,2,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,1,8,4,3,5,7,2] => [5,4,6,1,8,7,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,8,4,3,5,7,2] => [5,4,2,6,8,7,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,6,4,3,5,7,2] => [5,4,6,3,8,7,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,6,4,3,5,7,2] => [5,4,6,3,8,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,4,3,5,7,2] => [5,4,6,8,3,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,4,1,3,5,7,2] => [5,6,3,8,4,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,2,1,3,5,7,6] => [3,8,4,2,5,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,6,5,2,1,4,3] => [5,8,6,1,7,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,6,4,2,8,3,7,1] => [1,6,3,2,8,4,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,1,4,6,3,2,8] => [4,1,7,6,3,5,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,1,4,6,3,7,2] => [4,1,6,5,8,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,4,5,8,2,1] => [4,2,5,1,3,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,4,1,7,2,5,3] => [8,6,3,1,7,4,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,4,6,1,7,8,3,2] => [2,1,5,3,8,7,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,1,8,7,3,2] => [1,3,2,8,7,6,4,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,6,8,4,5,7,2,1] => [4,2,5,8,1,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,8,4,5,6,2,1] => [4,5,2,8,1,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,1,4,5,3,2,8] => [4,7,6,3,1,5,2,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,1,5,4,6,2,8] => [5,1,4,7,3,6,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,1,5,4,6,7,2] => [5,1,4,6,8,3,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,1,5,4,6,8,2] => [5,1,4,6,8,3,2,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,7,1,4,5,3,8,2] => [4,6,5,1,8,3,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,1,4,6,3,8,2] => [4,1,6,5,8,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,2,7,3,8,1] => [1,6,4,3,2,5,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,7,2,8,3,1,6] => [2,1,7,4,6,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,2,8,3,6,1] => [2,1,6,8,4,3,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,4,2,8,3,1,7] => [1,7,4,3,2,6,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,8,1,4,6,3,2,7] => [4,1,7,6,3,5,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,6,1,5,4,2,7,8] => [6,1,5,3,4,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,1,5,4,8,2,7] => [5,1,4,7,2,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,8,1,4,2,5,6] => [2,6,4,5,7,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,7,3,1,4,2,8,5] => [5,3,8,4,1,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,1,5,4,7,8,2] => [5,1,4,6,2,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,8,3,1,4,7,2,5] => [5,3,7,1,8,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,2,8,5,1,3] => [2,7,1,8,4,3,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,1,4,5,3,2,6] => [4,7,6,3,5,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,1,5,4,7,2,6] => [5,1,4,7,8,3,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,1,5,4,8,7,2] => [4,8,1,5,2,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,5,4,7,2,8] => [5,1,4,7,3,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,7,3,1,4,2,5,8] => [6,4,3,5,1,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,3,1,4,2,7,5] => [5,3,8,4,1,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,8,3,1,4,6,2,5] => [5,3,7,8,4,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,4,2,6,5,1,3] => [7,3,8,4,1,6,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,7,3,4,2,1] => [2,1,5,8,7,6,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,7,3,1,4,5,2,8] => [5,3,7,4,1,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,1,4,7,3,6,2] => [4,1,6,8,7,3,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,4,2,7,5,3,1] => [3,1,8,7,4,6,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,4,7,2,8,5,3,1] => [8,2,1,7,4,3,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,7,1,5,4,8,6,2] => [4,8,1,5,7,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,1,5,4,2,8,6] => [5,1,4,8,3,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,7,3,1,4,5,8,2] => [5,3,6,1,8,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,3,1,4,5,2,7] => [5,3,7,4,1,6,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,1,5,4,2,6,7] => [6,1,5,3,4,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,7,6,3,5,2,1,4] => [4,7,6,8,5,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,7,4,6,3,2,1,5] => [3,7,6,5,8,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,7,4,3,2,1,6] => [2,7,6,5,4,8,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,6,2,5,4,1,3] => [7,8,4,6,5,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,5,4,7,3,2,1,6] => [3,2,7,6,5,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,4,3,2,1,7] => [2,1,7,6,5,4,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,7,6,3,2,1,5] => [7,2,6,5,8,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,7,4,3,2,1,6] => [7,1,6,5,4,8,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,6,2,3,4,7,1] => [4,1,5,6,3,8,7,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,2,7,3,1,8,6] => [1,5,2,8,3,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,7,8,6,5,1,2] => [7,1,3,8,2,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,1,7,2,5,8,6,3] => [1,8,5,7,4,2,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,8,2,1,5,6,4,3] => [5,8,3,7,4,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,6,2,5,8,4,3,7] => [4,7,6,2,8,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,8,7,4,5,3,6] => [5,7,6,8,1,4,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,1,6,8,5,2,4] => [7,2,4,8,6,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,5,8,6,2,3,7,4] => [2,8,5,6,4,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,7,1,8,6,3,4] => [7,1,8,6,2,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,1,3,8,7,4,5] => [7,8,6,1,3,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,2,8,1,7,3,4] => [7,8,3,2,1,5,6,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,8,3,5,1,7,4,6] => [7,3,4,8,1,5,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,3,8,7,1,6,2] => [2,1,8,3,6,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,4,3,7,2,6,1] => [4,3,2,6,8,7,5,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,3,7,4,2,6,5,1] => [4,8,2,5,7,6,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,2,8,3,1,7,6] => [5,2,1,8,3,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,4,3,1,7,6,5] => [3,8,4,7,1,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,5,3,1,7,6,4] => [8,4,3,7,1,5,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,6,4,1,7,5,3] => [4,8,7,5,1,3,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,8,7,5,1,6,4,2] => [8,7,5,1,4,6,3,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,4,7,6,2,5,3,1] => [8,2,5,7,6,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,8,7,6,1,5,3,2] => [8,7,1,5,6,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,3,8,5,2,1,6,4] => [5,8,2,6,4,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,8,4,2,1,6,5] => [5,2,4,8,6,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,4,3,8,2,1,6] => [4,3,2,7,6,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,7,8,5,1,2,6,4] => [8,5,6,1,4,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,6,1,2,4,3] => [1,8,5,6,2,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,8,3,1,2,5] => [2,6,1,7,5,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,8,3,2,1,5] => [3,7,6,5,2,1,8,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,8,6,2,1,4,3] => [5,2,8,6,1,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,7,3,1,4,2] => [2,1,8,6,5,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,2,4,8,1,5,7] => [3,2,4,6,1,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,8,5,1,6,7,4] => [6,4,8,1,2,5,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,4,8,7,3,1,5,2] => [8,2,1,6,5,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,4,7,3,2,5,1] => [3,6,5,2,8,7,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,4,8,7,1,5,6,2] => [6,8,1,2,5,7,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,4,8,6,1,5,7,3] => [6,8,2,5,1,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,8,5,1,3,7,4] => [8,5,2,6,1,4,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,8,3,1,4,7,6] => [4,2,8,1,5,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,6,8,7,1,3,4,2] => [1,6,2,8,5,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,6,8,2,1,3,5] => [2,6,5,7,3,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,3,5,4,1,8,6,7] => [4,1,2,3,7,8,5,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,6,4,8,1,5,7] => [4,6,1,2,3,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,4,8,6,2,1,3,7] => [2,1,6,5,7,4,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,6,8,1,5,4,7] => [7,5,1,2,3,6,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,5,6,1,4,7,8,3] => [5,2,6,1,3,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,6,1,4,7,3,8] => [5,2,7,1,4,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,3,5,1,6,8,4,2] => [5,2,3,8,7,4,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,7,6,1,8,5,4,3] => [8,7,6,4,1,3,2,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,7,6,8,1,4,5,3] => [6,8,5,3,1,2,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,8,7,6,3,2,5,4] => [5,8,6,7,4,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,7,6,1,8,5,3,4] => [7,8,6,4,1,3,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,3,5,8,4,1,2,6] => [6,2,3,7,5,1,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,4,5,2,7,3,6] => [3,7,4,8,5,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,8,4,1,6,2] => [3,8,2,6,5,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,6,4,8,5,1,3] => [4,7,3,2,8,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,5,4,7,1,8,2] => [4,2,3,1,8,6,5,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,5,4,7,1,2,8] => [6,2,4,3,1,7,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,1,6,8,5,2,4] => [7,4,8,1,6,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,3,1,8,6,4,7,5] => [8,6,1,2,5,7,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,8,4,3,6,2,5,7] => [4,3,6,7,5,8,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,1,6,8,5,4,2] => [4,8,7,1,6,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,5,4,7,2,1,8] => [4,2,3,1,7,6,5,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,4,6,8,2,1] => [4,2,3,5,1,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,7,6,4,8,5,3,1] => [8,4,3,2,7,1,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,8,4,5,2,6,3,7] => [3,7,5,4,6,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,8,5,3,1,2,7] => [2,6,1,7,5,4,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,3,4,6,5,8,1,7] => [5,1,2,3,4,7,8,6] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,3,4,7,5,1,8,6] => [5,8,1,2,3,6,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,7,5,1,6,8] => [6,1,2,3,5,7,4,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,7,1,6,5,8] => [7,1,2,3,5,6,4,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,4,7,1,6,8,5] => [6,8,1,2,3,5,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,4,6,1,8,7,5] => [4,8,1,2,3,7,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,3,5,8,4,2,7,1] => [3,6,2,1,5,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,8,5,3,2,1,6] => [7,2,6,5,4,1,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,8,4,5,2,3,6,7] => [5,3,6,4,7,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,8,5,3,2,6,1] => [6,2,5,4,1,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,5,8,4,2,1,7] => [3,7,2,1,6,5,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,4,6,8,3,7,1] => [3,4,1,6,8,2,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,4,6,3,7,1] => [4,1,6,5,8,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,5,4,6,7,2,1] => [4,3,5,8,1,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,3,4,5,7,2,1] => [3,4,1,5,8,7,6,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,1,7,8,3,2,6] => [2,1,7,6,4,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,2,7,8,3,6,1] => [2,1,6,4,8,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,4,6,8,3,2,7] => [3,4,1,7,6,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,8,4,6,3,2,7] => [4,1,7,6,5,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,6,4,5,3,2,7] => [4,7,6,5,2,3,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,6,2,4,3,5,7] => [6,4,5,7,2,3,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,7,1,2,4,3,5,6] => [6,3,4,5,7,8,2,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,7,3,2,4,6,5,1] => [3,8,4,5,7,6,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,7,2,5,4,3,6,8] => [6,5,3,4,7,1,2,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,8,2,4,7,3,6,1] => [4,1,6,8,3,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,3,2,4,7,5,1] => [3,8,4,1,5,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,1,2,5,4,3,6,7] => [6,5,2,3,4,7,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,4,8,7,5,2,6,1] => [6,5,8,1,2,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,1,2,4,3,5,7] => [6,3,4,5,7,2,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,6,2,4,8,7,1] => [8,2,1,4,3,5,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,5,2,8,6,1,4,7] => [6,1,2,7,3,5,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,2,5,1,4,8,6] => [8,1,3,5,4,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,8,6,2,3,4,7] => [5,6,1,7,4,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,1,8,6,3,7] => [3,2,7,1,6,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,6,1,8,2,5,4] => [8,6,7,1,4,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,3,1,8,2,4,5] => [6,3,7,8,4,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,2,3,6,1,4,7,5] => [8,2,3,5,6,4,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,8,2,6,3,4,7,5] => [8,5,6,3,4,7,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,1,3,6,4,7,2,5] => [5,7,3,4,8,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,3,6,4,8,2,5] => [5,7,3,4,8,2,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,6,3,1,4,7,5] => [4,8,2,5,6,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,5,4,1,3,8,2,6] => [5,7,3,2,8,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,5,8,3,4,1,6] => [5,3,7,6,1,2,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,3,8,5,4,1,2,6] => [6,7,2,5,4,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,3,6,1,4,8,5] => [8,2,3,5,6,4,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,4,8,1,3,6,2,5] => [5,2,7,8,4,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,1,4,7,3,2,5] => [4,7,6,8,3,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,3,7,1,4,8,5] => [8,3,5,1,2,6,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,5,4,8,1,3,2,6] => [7,5,3,2,6,1,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,3,1,8,5,4,6,7] => [6,1,2,5,7,8,3,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[8,6,5,1,3,4,2,7] => [5,7,4,6,3,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,1,7,6,3,4,2] => [6,2,8,7,5,3,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,4,7,6,1,8,5,2] => [8,7,1,2,5,4,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,2,6,7,1,8,4] => [4,1,2,8,3,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,8,4,7,5,1,6] => [7,1,4,6,8,2,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,8,1,6,5,2,7,4] => [8,6,1,5,3,4,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,1,2,8,3,4,7,5] => [8,5,6,7,2,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,8,3,1,7,2,4,5] => [6,3,7,1,8,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,2,5,6,1,8,4] => [4,8,1,3,6,5,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,8,4,2,5,1,7,3] => [8,4,3,1,6,5,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,1,4,7,2,6,5] => [2,8,4,6,7,3,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,2,1,5,7,4,6] => [3,2,5,7,8,4,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,8,3,6,4,7,1,5] => [5,7,3,4,8,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,6,4,8,1,2,5] => [6,2,4,7,3,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,6,4,7,1,2,5] => [6,2,4,7,3,8,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,5,1,7,4,2,8,3] => [8,6,5,3,2,1,4,7] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[7,3,6,4,8,2,1,5] => [4,7,2,6,3,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,1,7,3,4,2,8] => [5,1,7,6,3,2,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,3,8,1,6,5,2,4] => [7,8,2,6,4,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,7,1,6,5,2,4] => [7,8,2,6,4,5,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,1,7,4,2,8,6,3] => [4,1,8,7,5,2,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,8,1,7,6,5,3,4] => [7,8,6,5,1,3,4,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,8,6,5,1,7,3] => [8,1,6,5,2,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,2,8,5,1,7,3] => [2,8,6,3,1,5,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,6,4,7,1,5,2,3] => [7,3,8,5,2,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,4,8,1,5,2,3] => [7,3,8,5,2,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,1,6,4,2,3,8,7] => [8,5,4,2,1,3,6,7] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[4,2,3,8,7,5,1,6] => [1,7,6,8,2,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,7,1,6,5,2,4] => [7,8,6,1,4,5,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,2,3,7,8,5,1,6] => [1,7,6,2,3,4,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,6,4,2,3,7,8] => [5,6,4,2,1,3,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,4,7,8,1,5,2,3] => [2,7,1,8,5,3,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,4,6,1,5,2,3] => [7,3,8,5,6,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,7,8,1,4,2,3] => [7,2,1,8,5,3,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,7,8,6,1,5,2,3] => [7,8,1,5,2,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,7,6,1,5,2,3] => [7,8,1,5,6,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,6,5,7,1,4,2,3] => [7,8,5,3,2,6,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,1,6,7,4,2,3,8] => [6,3,1,7,5,2,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,7,4,8,1,5,2,3] => [7,3,1,8,5,2,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,2,4,7,1,5,6] => [3,2,4,6,7,8,5,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,3,2,4,8,1,5,6] => [3,2,4,6,7,1,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,3,7,1,6,4,8] => [7,3,1,2,5,6,4,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,1,6,8,4,2,3,7] => [6,3,1,7,5,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,5,8,1,6,2,4] => [7,3,8,1,5,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,3,7,1,6,5,8] => [2,7,1,3,5,6,4,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,7,6,8,1,5,2,3] => [7,8,1,5,3,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,6,7,1,4,2,3] => [7,2,8,5,3,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,5,1,4,2,3] => [7,8,5,2,6,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,6,8,5,1,4,2,3] => [7,8,5,2,1,6,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,7,5,1,4,2,3] => [7,1,8,5,6,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,6,8,7,1,4,2,3] => [1,7,2,8,5,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,8,7,1,5,2,3] => [7,1,2,8,5,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,2,4,6,1,5,7,8] => [2,1,3,5,6,4,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,7,8,5,1,4,2,3] => [7,1,8,5,2,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,6,5,1,4,2,3] => [7,8,5,1,6,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,1,7,5,4,2,8,6] => [5,1,4,8,6,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,8,5,4,6,3,7] => [5,4,7,1,6,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,8,5,2,3,6,7] => [5,1,6,4,7,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,1,3,6,7,2,8] => [4,5,2,1,7,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,2,7,1,5,3,4,6] => [6,7,2,4,5,8,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,3,7,1,5,4,2,8] => [7,2,6,4,1,5,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,8,1,5,4,2,6] => [7,2,6,4,5,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,5,3,8,4,2,6] => [7,4,3,6,8,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,5,1,3,6,8,2,7] => [4,1,5,2,7,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,8,1,5,4,2,7] => [7,6,1,4,2,5,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,3,1,5,4,2,7] => [3,7,6,4,1,5,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,8,2,1,7,5,3,6] => [1,7,3,6,8,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,3,2,8,6,4,5] => [7,8,3,6,2,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,2,6,3,8,5] => [1,8,6,3,4,5,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,7,8,1,5,3,4,6] => [6,7,4,5,1,2,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,2,1,8,5,3,6] => [1,7,3,6,8,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,7,5,6,1,4,3,2] => [8,7,5,3,6,4,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[5,7,8,6,1,4,3,2] => [8,1,7,5,2,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,4,1,6,5,3,8] => [3,7,6,1,4,5,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,6,4,5,8,3,2] => [4,5,3,8,7,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,6,4,1,7,5,3,8] => [3,7,6,1,4,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,8,5,7,1,4,3,2] => [1,8,7,5,3,6,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,5,7,1,4,3,2] => [8,7,5,3,2,6,4,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,5,7,6,1,4,3,2] => [2,8,7,5,6,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,5,7,8,1,4,3,2] => [2,1,8,7,5,3,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,2,8,1,6,5,3,7] => [1,7,6,2,4,5,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,2,4,1,8,5,3,7] => [3,7,2,6,1,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,1,4,5,6,7,2] => [4,2,5,6,8,3,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,1,4,8,6,7,2] => [2,6,1,8,4,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,1,6,3,4,8,2] => [5,6,4,2,8,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,5,8,4,3,6,2] => [3,6,5,8,7,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,3,1,5,4,6,7,2] => [2,5,4,6,8,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,8,1,4,5,3,7] => [5,7,2,4,1,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,6,1,5,3,4,8] => [6,7,2,4,5,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,6,1,5,3,4,7] => [6,7,4,5,1,3,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,1,5,6,3,8,7] => [2,4,1,5,8,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,1,2,5,8,3,4,6] => [6,4,7,8,2,3,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,5,6,7,1,4,3,2] => [2,8,7,5,3,6,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,8,5,1,4,3,2] => [8,7,5,2,1,6,4,3] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,8,7,5,1,4,3,2] => [1,8,7,5,6,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,6,7,1,4,5,3,8] => [5,7,4,1,2,6,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,1,7,4,6,8,2] => [5,1,2,6,4,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,1,5,6,4,8,3,2] => [3,5,4,8,7,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,6,5,4,8,3,2] => [5,4,3,8,7,2,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,7,6,8,1,4,3,2] => [8,1,7,5,3,2,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,6,5,1,4,3,2] => [8,7,5,1,6,4,3,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[4,3,1,6,5,8,7,2] => [2,1,4,8,5,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,1,2,4,8,7,6] => [2,8,7,3,1,4,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,3,6,2,1,8,7,4] => [8,2,1,4,3,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,2,1,4,6,8] => [2,5,4,1,6,7,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,7,2,8,4,1,6] => [7,2,1,4,6,3,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,4,5,1,3,6,8] => [5,2,3,6,4,7,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,1,4,5,2,8,7,6] => [1,8,3,4,7,2,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,4,5,2,8,7,3] => [3,4,2,8,7,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,4,2,6,3,5,8] => [6,3,7,4,5,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,7,4,5,2,1,6,3] => [5,3,8,6,4,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,7,1,8,4,2,5] => [7,2,6,1,8,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,4,8,6,3,2,5] => [7,3,6,2,8,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,3,5,6,7,2,4] => [4,7,3,5,8,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,3,5,6,7,2,8] => [3,4,1,5,7,2,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,8,4,3,6,1,2,7] => [1,6,4,3,7,5,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,4,8,3,6,7,5,2] => [5,8,2,4,7,6,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,8,2,1,7,5,6] => [2,1,4,7,8,5,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,8,4,2,6,1,5,7] => [4,1,3,6,7,5,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,8,2,5,6,7,1,4] => [4,7,1,3,5,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,8,4,3,6,2,1,5] => [4,3,7,6,1,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,1,8,5,7,6,2] => [1,8,2,5,7,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,1,6,8,7,5,2] => [1,8,2,4,7,6,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,5,4,8,6,2,1,3] => [3,2,7,6,1,8,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,4,1,6,2,3,8] => [6,7,4,3,2,5,1,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,4,5,8,2,3,7] => [3,6,4,2,7,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,7,6,5,8,3,4,2] => [6,4,3,2,8,7,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,5,3,6,7,4,2] => [5,3,8,4,7,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,1,5,6,7,3,2] => [4,2,5,8,7,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,2,5,6,7,1,3] => [4,2,7,3,5,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,8,5,6,7,3,4] => [4,7,5,8,6,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,5,8,6,7,3,2] => [5,8,2,3,7,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,5,8,1,7,2,6] => [2,1,3,7,8,5,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,4,8,6,1,2,7] => [3,1,2,6,7,5,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,4,8,5,6,7,2,3] => [4,7,2,5,8,6,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,8,5,6,7,1,2] => [4,7,1,2,5,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,7,1,5,6,3,4,8] => [6,4,7,1,3,5,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,1,4,3,6,5,8] => [4,7,1,3,5,6,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,7,2,5,6,8,1] => [2,1,4,5,6,3,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,1,5,6,2,8,4] => [4,8,1,6,3,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,6,3,7,1,5] => [5,2,7,3,4,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,2,3,5,7,1,6] => [3,4,2,5,7,8,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,7,3,2,5,6,1,8] => [1,4,3,5,7,6,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,3,4,6,2,8,1,7] => [2,3,1,5,4,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,7,4,2,8,1,6] => [5,2,1,4,7,3,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,7,2,3,8,1,5] => [4,2,5,1,7,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,7,2,8,3,1,4] => [7,4,2,1,6,3,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,5,1,8,3,4,7] => [6,7,3,1,2,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,7,6,1,4,5,2,3] => [7,5,8,4,6,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,1,3,2,5,4] => [5,8,4,6,7,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,4,5,1,6,2,3] => [7,3,8,5,4,6,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,6,4,1,7,2,3] => [7,2,8,5,4,3,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,6,3,1,2,7,4] => [8,5,4,2,6,3,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,4,6,2,3,1,7,5] => [4,2,5,8,6,3,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,3,4,2,1,8,6] => [3,1,5,4,8,6,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,5,3,1,2,8,4] => [8,5,4,1,6,3,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,5,4,1,8,2,3] => [7,1,8,5,4,3,2,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,2,4,3,8,7,5,1] => [8,3,7,2,1,4,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,3,5,4,1,8,6,2] => [4,2,3,8,7,5,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,2,7,1,3,4,8,6] => [8,2,4,1,5,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,5,7,3,1,4,8] => [6,5,3,1,2,7,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,6,5,7,3,1,8,4] => [5,3,2,8,1,6,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,2,1,3,4,5,7] => [4,3,5,6,1,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,1,8,4,5,2,6] => [5,7,1,6,8,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,3,2,4,7,5,8,1] => [2,6,3,4,1,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,1,6,3,7,8,5] => [6,2,1,4,8,3,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,4,3,5,8,6,1,2] => [3,2,4,7,1,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,7,6,8,3,1,4,5] => [6,5,7,3,1,2,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,3,5,8,6,2,1] => [2,8,3,4,1,7,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,2,1,7,3,8,6,5] => [1,8,7,2,5,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,1,3,7,8,6,5] => [5,1,8,2,7,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,8,1,7,4,3,6,2] => [1,6,5,8,7,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,1,7,4,3,2,6] => [1,7,6,5,8,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,6,2,1,4,5] => [6,5,7,1,2,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,2,1,8,3,5,6,7] => [2,5,1,6,7,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,1,3,7,5,6,8] => [2,6,1,7,3,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,2,1,3,6,8,7,5] => [8,2,1,5,7,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,3,2,4,8,6,5,1] => [8,2,7,3,4,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,1,6,3,8,7,5] => [4,1,8,2,7,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,1,7,3,5,6,8] => [2,5,1,6,7,3,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,6,7,5,2,1,4,8] => [6,5,1,2,7,4,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,7,5,2,1,8,4] => [5,2,8,1,6,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,6,2,7,3,5,1] => [6,8,1,4,3,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,7,5,2,4,8,1] => [5,2,6,1,4,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,5,2,4,1,8] => [5,2,7,1,6,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,1,7,3,6,5,8] => [7,2,1,5,6,3,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,1,7,3,6,8,5] => [6,1,8,2,5,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,7,6,8,4,2,5,1] => [6,5,3,1,2,8,7,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,8,1,7,4,2,6,3] => [1,8,6,5,7,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,6,2,4,5,1] => [5,6,2,8,1,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,2,1,3,8,6,7,5] => [6,1,8,2,7,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,1,3,7,6,5,8] => [7,2,1,6,3,4,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,2,1,3,5,7,6,8] => [2,7,3,1,4,5,6,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,2,1,3,5,8,6,7] => [2,7,1,8,3,4,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,7,8,6,3,5,2,1] => [5,2,8,1,7,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,2,1,3,5,6,8,7] => [2,8,3,1,4,5,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[2,6,1,5,4,7,8,3] => [5,4,6,1,2,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,6,1,4,8,7,2] => [2,8,1,5,3,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,6,8,4,1,5,7] => [6,5,1,2,3,7,8,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,7,5,1,8,3,4,6] => [6,7,3,8,1,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,5,2,1,3,6,8] => [1,5,4,6,3,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,6,2,4,1,7,8] => [4,1,2,6,5,3,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,6,1,4,8,3,7] => [5,2,7,1,3,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,7,8,4,1,5,3,2] => [1,8,7,5,4,2,6,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,1,6,8,4,5,3,2] => [5,3,8,7,6,2,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,1,5,6,4,2,3,8] => [6,3,7,5,2,4,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,4,6,7,5,3,2] => [4,8,3,7,6,5,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,5,8,6,1,7,3,2] => [8,1,2,7,5,4,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,5,1,6,7,3,2] => [5,1,3,8,7,4,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,7,1,4,2,3,8] => [6,1,7,4,2,5,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,2,6,1,5,7,3] => [6,2,8,3,5,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,8,4,2,6,3,7] => [7,5,4,1,6,8,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,8,4,6,2,5,3,7] => [3,7,5,6,4,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,1,4,6,2,5,7] => [4,2,6,7,3,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,1,8,2,6,4,7] => [7,1,5,2,6,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,1,2,8,4,7,6] => [8,1,6,2,7,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,5,8,6,1,7,4] => [8,3,6,1,2,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,4,3,6,7,1,5] => [3,7,2,4,5,8,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,2,8,5,7,1,6,4] => [4,8,1,6,7,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,2,8,5,1,7,4] => [8,6,1,3,2,5,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,1,8,4,7,5,3] => [8,5,7,2,1,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,7,1,4,6,5,3] => [8,5,7,4,6,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,1,5,4,6,3] => [6,5,8,2,4,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,5,3,6,8,1,4] => [7,4,2,3,5,1,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,1,5,6,2,4,8] => [2,6,4,7,3,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,5,1,6,2,4,8] => [6,7,1,4,3,5,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,3,6,5,8,1,4] => [7,5,3,4,1,2,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,7,2,4,1,6,5,3] => [4,8,3,7,5,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,7,2,3,6,5,4] => [8,7,4,5,6,3,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,8,2,6,4,3,5] => [7,6,8,4,2,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,3,8,2,6,4,5] => [7,8,3,5,2,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,7,3,6,4,5,8] => [6,7,4,5,1,2,3,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,1,5,8,3,2,4,6] => [6,5,3,7,8,2,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,2,8,4,3,7,5] => [5,8,6,2,7,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,8,7,2,4,6,5] => [8,5,6,7,2,4,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,3,7,2,5,4,6] => [7,3,5,6,8,4,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,1,4,7,3,2,5,6] => [3,6,5,7,8,2,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,8,1,3,2,5,6] => [1,6,4,5,7,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,4,2,3,5,6,8] => [4,5,2,3,6,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,3,8,4,6,7,5] => [6,8,1,5,7,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,3,4,8,5,7,6] => [8,6,7,1,2,3,4,5] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,4,7,5,6,8,3,1] => [4,5,2,3,8,1,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,8,7,5,6,3,1] => [5,8,7,2,6,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,3,8,4,7,6,1] => [2,8,5,7,1,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,5,7,3,6,4,1] => [3,8,5,7,6,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,8,5,2,7,6,4] => [4,8,1,7,5,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,8,3,4,5,7,1] => [4,5,2,6,8,1,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,8,5,3,6,4,1] => [8,5,4,2,7,1,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,1,8,7,2,6,4,5] => [7,8,1,5,6,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,1,7,2,3,6,5] => [1,8,5,6,7,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,7,2,3,6,5,8] => [7,4,1,5,6,2,3,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,7,1,8,2,6,4,5] => [7,8,1,5,6,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,7,8,2,5,6,4] => [6,8,1,5,3,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,5,8,7,1,4,2] => [3,8,2,1,6,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,8,1,2,3,6,5] => [8,4,2,5,6,1,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,7,4,6,1,2,5,3] => [8,5,3,6,7,4,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,5,1,2,3,4,8,6] => [8,3,4,5,2,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,6,1,2,8,3,5] => [7,2,8,4,5,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,2,3,6,4,8] => [7,3,4,1,5,6,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,8,1,2,7,4,5] => [7,8,1,4,2,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,6,1,2,3,7,5] => [1,8,4,5,6,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,1,2,3,7,5] => [8,4,2,5,6,3,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,1,5,2,7,3,6] => [1,7,4,8,3,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,2,5,3,8,7,6] => [8,4,1,7,2,3,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,4,1,8,2,7,6,3] => [2,1,8,7,5,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,3,8,7,1,4,2] => [1,8,3,2,6,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,1,6,8,2,7,3] => [4,2,1,8,6,7,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,7,1,2,8,6,3] => [2,1,8,7,4,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,4,1,2,8,3,5] => [7,8,4,3,1,5,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,1,2,3,7,8,4] => [6,8,3,4,2,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,5,1,2,3,4,8,7] => [8,3,4,5,2,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,5,1,2,3,7,4,8] => [7,3,4,5,2,1,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,6,4,1,2,5,3] => [8,5,6,4,1,7,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,2,3,1,6,5,4] => [8,3,4,7,5,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,8,2,3,1,7,6] => [1,4,2,5,8,6,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,4,3,7,2,6,8] => [4,3,6,1,7,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,5,7,2,4,8] => [6,3,4,7,2,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,4,7,5,3,6,8] => [6,1,3,5,7,2,4,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[7,1,3,6,2,5,4,8] => [7,3,5,6,2,4,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,8,3,7,5,4,6] => [7,6,8,1,4,5,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,8,2,5,6,3,4] => [7,5,8,4,6,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,5,8,2,7,3,4] => [7,3,8,5,1,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,5,2,8,1,6,7,3] => [1,6,2,8,3,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,5,8,1,4,7,3] => [6,3,8,2,1,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,8,5,1,6,7,4] => [6,1,4,8,2,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,7,1,4,6,5,3] => [8,5,7,2,4,6,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,8,7,1,6,4,5,3] => [6,8,7,4,5,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,7,1,5,6,4,2] => [5,8,7,1,4,6,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,4,8,6,2,7,3,5] => [7,8,2,5,4,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,1,3,2,6,4,8] => [4,7,3,5,2,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,1,4,5,3,7,8] => [4,6,1,3,5,2,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,6,4,1,5,2,7,8] => [6,1,4,3,5,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,6,1,3,2,7,8] => [1,6,4,2,5,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,7,1,4,2,5,3,8] => [7,5,3,4,1,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,1,3,5,6,4,8] => [5,7,1,3,4,6,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,6,1,2,4,3,7,5] => [5,8,3,4,6,2,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,3,4,6,7,5] => [6,8,1,3,4,5,7,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,8,1,2,5,3,6,4] => [8,6,3,4,5,1,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,4,1,2,5,7,6] => [8,1,4,3,5,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,2,6,7,5,3,8,4] => [3,8,6,5,1,2,4,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,7,5,3,2,8,4,6] => [4,7,3,8,5,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,5,3,8,4,2] => [2,8,5,4,3,7,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,5,7,2,3,8,4] => [8,5,3,2,6,1,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,3,8,2,6,5,7,4] => [6,5,8,2,4,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,8,2,5,7,6] => [8,2,3,5,6,7,1,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,5,7,6,2,3,4,8] => [5,2,6,7,4,1,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,3,8,2,6,4,7] => [7,3,2,5,6,8,1,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,2,4,8,3,5,7,6] => [8,3,5,6,7,1,2,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,4,8,2,3,5,7,6] => [2,8,4,5,6,7,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,5,7,3,8,2,4,1] => [4,2,1,6,3,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,5,2,1,8,4,3] => [8,4,1,7,5,3,2,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,5,2,8,4,6,3] => [6,3,8,7,4,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,8,3,1,7,2,4] => [1,7,4,2,8,5,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,4,7,1,8,6,2,5] => [7,8,1,2,6,4,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,6,8,2,1,5,7] => [6,1,2,5,3,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,8,2,5,6,1,4,7] => [6,1,3,4,7,5,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,2,8,6,4,1,7] => [2,7,1,6,3,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,2,5,3,8,1,6] => [5,3,2,4,7,1,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,1,6,8,3,4,7] => [6,2,4,1,7,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,8,4,1,3,7] => [6,3,1,7,2,5,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,6,8,3,4,2,7] => [2,5,3,7,6,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,6,8,3,2,7] => [1,4,2,7,6,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,3,7,8,2,5,1] => [2,6,3,1,4,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,4,3,1,7,8,2,5] => [3,2,7,5,1,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,5,3,1,7,8,2,6] => [1,3,2,7,5,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,3,5,4,8,2,6] => [5,3,4,7,8,2,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,5,2,8,1,4,3,6] => [7,3,5,2,6,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,3,8,4,6,1,2] => [1,7,3,5,2,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,4,5,7,3,8,6,2] => [8,2,3,5,4,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,3,7,8,5,2,1] => [4,1,2,8,3,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,6,7,8,4,2,1] => [3,1,4,8,2,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,5,3,6,7,8,4,2] => [4,2,5,8,3,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,1,7,3,8,5,2] => [8,1,5,4,2,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,7,1,8,4,5,2] => [6,8,2,1,7,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,2,4,8,1,5,3] => [4,8,3,1,6,2,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,1,4,7,3,8,5] => [8,4,6,1,3,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,3,6,7,8,4,1] => [4,5,1,8,2,3,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,7,1,3,4,8,5] => [8,2,4,5,1,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,1,7,3,8,4,6] => [7,8,2,1,5,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,6,3,7,8,1,5] => [1,7,4,2,3,5,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,6,3,7,8,5,1] => [1,5,3,8,2,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,7,3,8,2,4,5,1] => [3,5,1,6,2,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,2,7,4,1,8,5] => [5,8,1,3,2,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,3,4,2,5,6] => [4,6,5,7,8,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,4,1,8,3,5,6] => [6,2,3,7,8,4,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,3,4,8,6,2,1,5] => [7,2,3,6,1,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,8,3,2,5,1,4] => [5,4,1,7,2,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,4,7,1,8,5,3] => [8,3,7,2,1,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,2,7,1,8,5,3] => [8,1,7,3,2,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,4,8,5,2,6,3] => [8,3,6,5,2,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,7,8,5,2,6,4] => [8,6,5,2,3,7,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,7,1,8,2,5,4] => [8,2,6,1,7,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,4,7,8,2,5,3] => [8,3,2,6,4,7,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,6,1,7,8,4,3] => [2,5,3,8,1,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,2,1,8,5,3,4] => [7,8,3,1,6,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,2,8,5,4,1,3] => [7,1,8,6,3,2,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,6,7,4,8,5,3,2] => [2,8,4,3,7,6,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,5,7,4,3,6,2,8] => [2,5,4,7,6,1,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,4,5,3,6,2,7] => [3,5,4,7,6,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,5,3,4,7,2,6] => [4,5,3,7,8,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,2,5,4,6,7,3] => [5,4,6,8,3,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,3,8,1,2,4,7,5] => [2,8,4,5,1,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,7,4,6,2,8,5] => [8,4,6,2,5,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,7,5,2,6,8,3] => [6,2,4,8,5,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,2,7,1,3,8,6] => [1,8,3,2,5,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,2,3,6,1,8,7] => [3,1,4,2,5,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,5,3,7,1,8,2] => [4,1,3,2,8,6,5,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,4,7,1,6,8,3] => [3,2,6,8,1,5,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,3,8,6,7,1,5] => [1,7,5,8,2,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,4,8,1,3,7,6] => [3,8,2,1,5,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,2,5,4,8,3,7,1] => [4,3,6,1,8,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,5,8,2,7,1] => [3,2,4,1,6,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,4,8,1,6,2,7] => [2,3,1,7,5,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,3,7,1,6,2,8] => [1,3,2,7,5,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,7,3,8,1,5] => [1,5,3,7,2,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,7,2,8,6,4,5] => [7,8,6,2,4,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,3,7,8,6,2,5] => [7,2,4,8,3,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,3,6,8,2,7,4] => [4,2,8,3,6,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,6,5,7,8,1,2] => [1,4,2,3,7,5,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,3,5,6,8,1,7] => [2,3,1,4,5,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,2,6,4,7,8,3,1] => [4,3,1,5,8,2,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,5,2,3,8,7,1] => [2,8,4,3,1,5,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,6,7,5,2,3,1] => [6,2,3,8,7,5,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,4,2,5,3,1,8,7] => [5,3,2,4,1,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,2,5,3,8,7,1] => [4,2,8,3,1,5,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,4,7,5,2,3,1] => [3,6,2,8,7,5,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,2,7,4,5,3,1] => [5,8,7,3,2,6,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,4,2,5,8,7,3,1] => [2,8,4,1,7,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,5,2,3,8,7,1] => [8,1,4,3,2,5,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,4,5,2,3,1] => [1,6,4,8,7,5,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,8,6,7,5,2,3,1] => [6,3,8,1,7,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,4,7,5,2,3,1] => [3,1,6,8,7,5,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,2,7,4,5,3,1] => [5,1,8,7,3,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,2,4,7,5,3,1] => [8,4,1,7,3,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,2,6,7,5,3,1] => [4,8,1,7,3,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,4,6,7,5,3,1] => [4,8,3,7,6,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,8,6,7,4,5,3,1] => [5,3,8,7,6,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,8,7,2,4,5,3,1] => [5,1,8,4,7,6,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,6,4,5,8,7,3,1] => [8,3,2,4,7,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,4,8,7,5,3,1] => [2,8,7,3,6,1,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,2,8,7,5,3,1] => [2,8,1,7,6,3,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,4,6,7,5,3,1] => [4,8,3,7,2,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,2,4,8,7,5,3,1] => [8,7,3,1,6,2,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,2,6,8,7,5,3,1] => [8,1,3,7,6,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,4,5,8,7,3,1] => [8,3,4,1,7,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,7,4,5,3,1] => [5,3,8,7,2,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,2,4,5,3,1] => [5,8,4,2,7,6,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,4,5,2,8,7,3,1] => [2,3,1,8,7,4,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,5,8,7,2,3,1] => [2,3,1,6,8,7,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,6,7,4,2,5,3,1] => [8,5,4,2,7,6,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,4,6,7,2,5,3,1] => [8,2,5,3,7,6,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,4,8,7,2,5,3,1] => [8,2,1,5,7,6,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,2,8,7,4,5,3,1] => [5,1,8,7,6,2,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,4,8,7,5,2,3,1] => [6,1,8,2,7,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,6,5,8,7,2,3,1] => [3,1,2,6,8,7,5,4] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[2,4,8,6,7,5,3,1] => [4,8,7,2,6,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,8,6,7,5,3,1] => [4,8,1,7,6,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,8,4,7,5,3,1] => [8,4,1,7,6,2,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,8,2,7,5,3,1] => [8,2,1,7,4,6,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,6,8,2,7,5,3,1] => [2,8,1,7,4,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,8,4,7,5,3,1] => [2,8,4,7,6,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,8,7,2,5,3,1] => [2,8,1,5,7,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,5,8,2,7,3,1] => [3,1,2,8,5,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,6,8,4,7,5,3] => [3,8,5,7,1,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,6,4,7,5,3] => [8,5,4,7,1,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,7,4,2,5,3,1] => [1,8,5,4,7,6,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,8,6,4,7,5,3,1] => [8,4,3,7,6,1,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,6,2,7,5,3,1] => [8,7,1,4,3,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,5,6,3,8,1,7] => [3,1,5,2,4,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,2,5,7,4,8,3,1] => [3,5,4,1,8,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,2,1,4,7,6,3] => [8,3,5,2,7,4,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,3,2,5,8,4,1] => [3,5,1,8,4,2,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,3,6,4,7,8,5,1] => [5,3,8,1,2,4,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,5,1,8,3,4,6,2] => [5,6,2,8,7,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,6,3,5,8,4,2] => [5,8,4,3,7,2,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,1,7,8,4,5,2] => [6,2,4,1,8,7,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,6,7,4,1,8,2] => [3,1,8,2,6,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,1,2,5,8,6,4] => [2,8,5,7,3,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,3,5,2,4,8,7] => [8,3,5,4,1,2,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,4,8,2,7,5,1,6] => [7,1,2,4,6,8,5,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[6,3,2,8,5,7,4,1] => [5,8,2,1,7,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,4,8,1,6,2,7,5] => [8,1,2,6,4,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,4,6,7,3,5,2] => [6,3,4,8,7,5,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,5,4,1,2,8,3] => [8,5,6,4,3,2,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,8,1,6,5,7,4,3] => [5,4,8,7,1,3,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,8,2,5,3,7,1] => [6,1,4,2,5,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,2,3,7,6,1,8,4] => [8,6,2,1,3,5,4,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,1,2,4,6,7,3,5] => [7,4,5,8,2,3,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,8,4,3,1,7] => [3,1,7,6,2,5,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,8,1,5,4,3,6,2] => [6,5,4,8,3,1,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,2,4,8,5,3,6,1] => [6,3,5,8,2,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,5,1,8,4,6,2] => [6,3,8,1,7,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,8,5,4,6,1,3] => [7,5,4,2,8,1,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,1,7,4,2,5,6] => [2,6,5,7,8,3,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,1,8,2,4,5,7,6] => [1,8,4,5,6,7,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,6,8,7,1,4,5] => [6,3,7,8,1,2,5,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,8,5,7,1,6] => [2,1,5,7,8,3,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,7,3,2,5,1,8,6] => [1,4,3,5,8,6,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,4,7,5,8,6,1] => [8,1,5,2,3,4,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,3,8,6,5,1,7] => [1,7,6,2,3,5,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,4,3,5,1,8,6,7] => [3,1,2,4,7,8,5,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,8,1,4,6,5,7] => [1,7,2,4,5,6,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,7,8,5,6,1,2,4] => [6,7,4,1,2,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,1,8,4,7,2,5] => [5,7,1,2,8,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,6,8,4,7,2,5] => [5,1,3,7,8,6,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,6,8,3,2,7,5] => [1,5,3,8,6,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,8,3,1,2,6,5] => [8,1,5,4,6,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,8,3,4,6,5,1] => [8,4,5,2,7,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,1,8,2,3,7,5] => [1,8,5,6,2,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,8,2,3,7,5] => [1,8,5,3,6,7,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,1,2,8,3,7,6] => [1,8,6,2,7,3,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,2,1,8,3,7,6] => [1,8,3,2,6,7,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,6,2,8,1,3,7,5] => [1,8,3,5,2,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,2,8,4,7,1,5] => [5,7,1,2,8,3,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,6,8,4,7,5,1] => [3,8,5,7,1,2,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,6,8,4,7,1,5] => [5,1,3,7,8,2,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,6,8,3,1,7,5] => [1,5,3,8,2,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,5,1,8,3,7,6] => [3,1,8,2,6,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,2,5,8,3,7,6] => [8,4,1,6,7,2,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,2,4,3,8,7,6] => [8,4,7,2,1,3,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,2,4,1,3,8,7,6] => [3,8,2,1,7,4,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,5,3,8,1,7,6] => [3,1,8,2,4,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,2,4,8,7,1,6] => [7,1,2,8,3,4,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,2,1,3,8,7,6] => [8,3,2,1,7,4,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,1,4,2,3,8,7,6] => [3,8,7,2,1,4,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,4,1,3,2,8,7,6] => [8,4,2,1,7,3,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,4,3,1,2,8,7,6] => [3,2,1,8,7,4,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,5,3,1,8,2,7,6] => [1,3,2,8,6,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,1,3,8,2,7,6] => [1,8,4,2,6,7,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,1,4,8,7,2,6] => [7,1,2,8,4,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,4,1,8,7,2,6] => [3,1,2,7,8,6,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,6,5,8,7,1,2,4] => [6,3,1,2,7,8,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,1,3,5,8,2,7,6] => [8,3,1,4,6,7,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,6,8,2,1,7,5] => [1,5,2,3,8,6,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,6,8,3,7,5,1] => [3,8,2,5,7,1,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,1,4,2,8,7,6] => [2,8,4,1,7,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,3,4,2,8,7,6] => [8,3,4,1,7,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,1,4,8,7,6] => [2,8,3,1,7,4,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,2,5,8,1,7,6] => [2,1,8,3,4,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,3,5,8,1,7,6] => [8,2,1,3,4,6,7,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,2,1,3,4,8,7,6] => [8,2,7,3,1,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,3,4,8,7,6] => [8,7,2,3,1,4,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,6,2,5,4,1,3,7] => [6,7,3,5,4,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,7,4,2,8,3,1] => [2,1,8,5,4,3,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,5,3,8,2,4,1] => [4,1,6,3,2,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,2,1,3,5,4,7] => [3,7,4,5,6,2,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,2,3,4,6,5,7] => [7,2,3,4,5,6,8,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[7,5,8,2,6,3,4,1] => [6,2,8,4,1,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,1,6,5,8,4,2] => [5,2,4,8,7,3,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,8,2,1,4,5,3] => [4,6,1,8,5,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,7,6,2,1,3,5] => [2,6,5,7,8,4,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,3,8,4,7,2,6,1] => [4,1,6,8,2,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,3,7,6,4,2,5] => [7,6,8,3,5,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,1,7,8,6,2,4] => [7,2,1,4,8,6,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,8,2,7,1,6,4] => [2,8,1,4,6,7,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,2,8,5,3,1,7,4] => [5,8,6,2,1,4,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,2,6,4,7,1,3,5] => [6,4,7,2,3,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,7,4,2,5,6,1] => [5,2,4,6,8,7,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,8,5,7,2,1,3,6] => [6,1,5,3,7,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,7,6,2,8,4,3] => [1,8,7,5,4,2,3,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,8,2,5,7,4,1,3] => [7,4,1,8,3,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,5,6,7,1,3,4] => [6,3,7,4,8,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,3,1,5,6,7] => [5,2,1,4,6,7,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,2,7,1,8,5,3,6] => [1,7,6,8,2,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,6,7,1,5,4,2] => [8,7,2,5,3,6,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,3,7,5,8,6,4,2] => [8,4,3,7,2,6,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,5,7,1,4,8,6,2] => [2,8,1,5,7,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,8,5,1,4,6,3] => [6,8,5,2,4,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,5,3,8,4,2,7] => [7,4,3,2,6,8,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,4,3,2,5,7,1,6] => [4,3,2,5,7,8,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,6,4,8,2,5,7,1] => [3,5,1,2,6,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,7,2,5,8,1,6] => [2,1,4,5,7,3,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,4,7,8,5,6,1] => [6,1,4,8,2,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,3,8,5,1,7] => [3,7,4,1,2,6,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,2,1,3,4,5,7,6] => [2,8,3,4,5,6,7,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,6,8,3,2,1,5,7] => [6,1,5,4,2,7,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,6,8,5,4,1,7] => [3,7,1,6,2,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,8,2,5,4,1,6] => [7,2,4,6,5,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,2,5,3,8,7,6,1] => [1,8,3,7,2,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,2,6,5,3,1,7] => [7,1,6,3,5,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,5,4,1,3,7] => [6,2,7,5,1,4,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,1,8,6,5,4,2,7] => [7,6,1,5,4,8,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,8,7,3,2,6,1] => [1,6,2,5,8,7,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,4,8,3,7,2,5,1] => [2,4,1,6,8,7,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,3,7,1,8,2,6] => [3,2,1,7,8,5,4,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,3,8,5,1,4,2,6] => [7,2,5,6,4,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,7,6,2,1,3] => [1,7,2,6,8,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,5,7,3,1,6,2] => [3,8,1,6,5,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,4,8,3,7,6,2] => [2,8,3,5,7,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,3,6,7,1,5,2] => [8,1,3,6,4,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,8,3,1,6,5,2] => [4,8,1,7,5,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,5,3,6,4,2,1] => [8,4,3,7,6,5,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[4,6,1,3,8,7,5,2] => [8,1,7,4,2,6,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,1,6,4,2,8,5] => [5,8,1,6,3,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,2,7,5,8,4] => [6,1,5,8,3,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,2,5,8,7,4,1] => [8,4,1,2,7,3,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,5,2,3,6,7,4,1] => [5,8,3,2,4,7,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,2,4,6,1,8,5] => [8,1,3,4,6,5,2,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,7,2,8,1,4,6] => [2,4,1,6,7,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,2,8,7,5,1,4] => [7,8,2,1,6,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,8,2,6,5,1,4] => [7,8,2,4,1,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,8,7,2,5,1,3] => [2,5,1,7,8,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,5,4,8,1,7,6,3] => [2,8,3,7,1,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,8,1,7,6,3,4] => [7,1,8,6,2,4,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,1,3,8,7,5,4] => [8,7,2,6,3,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,6,1,8,7,5,2,4] => [7,2,8,1,6,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,1,2,8,7,4,3] => [1,8,7,6,3,2,4,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,5,2,8,1,6,4,3] => [8,7,3,2,5,1,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,7,6,8,1,5,4,3] => [8,7,5,3,1,2,6,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,8,5,1,6,2,4,3] => [8,6,7,4,3,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,2,1,8,3,6,5,4] => [8,7,2,5,6,3,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,8,7,1,6,4,3,2] => [8,1,7,6,4,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,4,8,3,2,7,1] => [3,2,1,6,5,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,4,3,2,8,5,1] => [4,3,8,5,2,1,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,3,1,4,8,2,5,6] => [4,2,6,7,8,3,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,7,4,2,5,1,3,8] => [4,6,3,1,7,5,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,2,4,6,8,1,3] => [4,1,7,3,5,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,1,6,2,8,3] => [8,1,6,4,3,5,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,1,4,3,2,8,6] => [5,4,8,3,2,6,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,4,2,3,7,5,1] => [8,4,3,5,2,7,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,2,7,3,1,6,8] => [6,3,2,1,5,7,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,5,1,2,7,6,8,3] => [1,6,5,2,8,3,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,4,6,8,3,1,2,7] => [2,1,6,3,7,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,8,1,3,7,2,5] => [5,2,7,1,8,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,1,3,8,5,2,7] => [1,7,4,6,2,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,7,4,5,3,1,8] => [4,2,7,6,1,5,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,8,4,3,5,1,7] => [5,4,2,7,1,6,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,8,6,2,1,3,4] => [6,5,2,7,1,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,1,3,6,5,4,7] => [7,6,1,3,4,5,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,8,7,3,5,4,1,6] => [7,4,6,5,8,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,2,3,6,1,8,5] => [8,3,2,4,6,5,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,2,3,6,5,7,1] => [6,3,2,4,5,8,7,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,3,8,4,1,2,6,5] => [8,2,5,4,6,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,3,2,7,1,5,4] => [3,8,4,1,6,7,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,5,6,3,7,1,4] => [5,3,7,4,8,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,2,5,8,1,6,3] => [4,2,8,3,6,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,1,2,4,6,5,8] => [1,7,3,4,5,6,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,5,6,8,2,1,4,3] => [5,2,8,6,3,1,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,1,6,5,2,7,4,8] => [7,1,5,4,2,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,8,6,5,3,4,1,7] => [5,7,6,4,1,3,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,7,4,2,1,5,6,8] => [5,1,4,3,6,7,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,6,2,8,5,7,1] => [6,1,2,3,8,4,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,1,7,5,8,3,6] => [5,1,7,2,4,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,4,1,2,5,8,6] => [8,1,4,3,5,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,3,6,5,1,8,2] => [8,1,3,6,5,4,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,2,1,7,5,6,8,3] => [5,1,6,2,4,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,4,8,6,7,1,5] => [7,1,5,8,2,3,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,6,1,8,5,2,7] => [7,1,2,6,3,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,7,5,1,2,8] => [1,6,2,3,7,5,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,7,1,6,8,2,5] => [1,7,2,5,8,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,7,4,5,3,1,6] => [4,7,6,5,8,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,7,4,3,5,1,6] => [5,4,7,6,8,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,3,6,2,5,8] => [4,1,6,7,5,2,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,8,7,6,1,2,4,3] => [1,8,5,6,7,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,7,6,2,1,3,4] => [1,6,5,7,8,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,2,7,3,6,1,8,5] => [1,8,4,6,2,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,5,6,2,4,1,7] => [5,3,7,1,6,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,6,5,3,7,1,4] => [5,7,4,3,8,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,6,5,1,4,7,2] => [6,8,5,1,4,3,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,2,5,4,6,7,1] => [5,1,3,4,6,8,7,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,2,6,1,4,5,8,7] => [1,8,2,4,5,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,8,1,2,4,6,5,7] => [1,7,3,4,5,6,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,1,7,5,6,2,3,8] => [1,6,4,7,5,2,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,8,1,5,2,6,4,7] => [7,1,5,3,4,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,8,7,5,3,4,1,6] => [5,7,6,4,8,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,7,5,4,3,1,6] => [7,6,5,4,8,1,3,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,7,6,1,3,2,4] => [1,7,5,6,8,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,2,3,7,6,8,1] => [6,3,2,1,4,5,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,4,3,5,2,8,1,6] => [3,2,5,4,7,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,3,7,5,1,6,2] => [2,8,3,6,5,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,7,2,5,1,6,3] => [2,8,4,6,5,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,6,2,3,5,8,1] => [4,2,5,6,3,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,7,2,4,6,8,3] => [5,6,1,8,4,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,7,1,2,6,8,3] => [1,6,2,8,4,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,7,5,2,8,1] => [6,3,1,2,5,4,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,7,6,2,5,8,1] => [5,6,1,2,4,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,5,6,1,3,8,2] => [6,1,3,8,5,4,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,7,6,4,3,1,8,2] => [8,1,6,5,4,3,2,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,7,6,3,1,4,8,2] => [1,6,4,8,5,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,7,5,3,4,1,6,2] => [4,8,6,5,3,7,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,1,3,8,4,2,5] => [7,4,6,1,8,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,6,1,3,4,8,5,2] => [8,4,5,7,3,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,5,2,7,8,1,4] => [7,4,1,3,2,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,8,6,7,1,4,5] => [6,7,1,4,8,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,3,6,5,2,1,7] => [7,1,3,6,5,4,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,6,5,4,2,3,7] => [6,7,5,4,3,8,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,8,7,2,3,5,4,6] => [7,4,5,6,8,3,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,8,7,2,5,3,4,6] => [6,7,4,5,8,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,8,5,1,2,4,7] => [5,6,1,2,7,4,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,5,1,8,2,6,4] => [8,6,1,3,7,4,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,2,8,3,5,6,4] => [6,8,5,7,2,3,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,7,8,2,5,3,4] => [7,8,5,3,1,6,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,5,2,8,1,4,3] => [8,4,1,6,3,2,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,6,1,2,8,4,3] => [8,7,4,2,5,3,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,1,3,7,8,6,2,5] => [1,7,4,8,3,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,4,3,6,8,7,2] => [3,8,4,1,5,7,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,7,6,8,2,1,3] => [7,1,2,6,4,3,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,6,8,4,2,7,3] => [3,1,8,6,5,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,8,2,3,6,5,1] => [2,8,4,5,1,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,8,5,2,1,3] => [7,2,1,6,3,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,6,4,8,5,1,2,7] => [3,6,1,2,7,5,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,4,8,1,2,5,6] => [5,1,3,6,7,2,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,6,8,3,2,5,4,1] => [4,8,5,2,1,7,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,1,3,5,4,6,2] => [6,4,5,8,3,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,8,3,1,4,5,2] => [6,4,8,5,2,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,1,4,8,2,5,7,6] => [1,8,3,5,6,7,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,8,5,2,1,3,6,7] => [1,5,4,6,3,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,2,3,7,4,1,5] => [7,3,4,1,6,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,8,2,3,4,6,5,1] => [8,3,4,5,1,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,7,2,4,5,3,6] => [5,7,4,6,8,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,3,6,2,5,4,7] => [7,3,5,6,2,4,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,1,6,3,5,4,8] => [7,2,5,6,3,4,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,1,6,3,5,4,8] => [7,5,6,1,3,4,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,1,5,4,3,6,8] => [6,5,1,3,4,7,2,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,2,1,5,4,3,6,8] => [6,2,5,3,4,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,1,3,5,4,2,6,7] => [6,3,5,2,4,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,5,3,4,2,6,7] => [4,6,5,2,3,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,5,6,2,3,7,4] => [8,5,3,6,2,4,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,4,5,3,2,6,7] => [3,6,5,2,4,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,4,3,5,2,6,7] => [4,3,6,2,5,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,7,1,4,5,3,6,8] => [4,6,1,3,5,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,6,3,1,5,4,7,8] => [3,6,1,4,5,2,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,3,1,4,5,2,6,8] => [4,2,6,3,5,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,3,1,5,4,2,6,8] => [2,6,5,3,4,7,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,3,1,6,2,5,4,8] => [2,7,5,6,3,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,1,6,2,5,4,8] => [7,1,5,6,3,4,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,6,1,5,4,7,8] => [6,1,2,4,5,3,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,3,4,1,5,2,7,8] => [2,6,4,3,5,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,4,1,5,3,7,8] => [6,4,1,3,5,2,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,5,1,3,7,4,8] => [7,2,4,5,3,1,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,6,1,2,4,5,3,8] => [5,7,3,4,6,2,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,2,6,1,3,7,4,8] => [7,2,4,1,5,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,6,1,5,3,7,8] => [2,6,1,4,5,3,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,7,1,5,3,2,6,8] => [1,6,5,3,4,7,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,1,4,2,6,3,8] => [7,5,3,1,4,6,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,1,6,2,3,8,4] => [8,5,1,6,3,4,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,3,1,2,7,4,8] => [7,4,3,1,5,2,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,2,5,3,1,6,7,8] => [5,2,1,4,3,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,3,6,1,2,7,4,8] => [2,7,4,1,5,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,1,8,7,3,4,2] => [6,2,1,8,7,5,3,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,2,7,5,4,1,3,6] => [6,7,5,2,4,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,5,2,3,4,1,7] => [4,5,1,7,6,3,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,8,7,1,5,3,4] => [7,2,8,5,6,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,6,2,7,1,4,3] => [8,4,2,6,3,7,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,5,1,2,7,8,4,3] => [5,8,7,3,2,1,4,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[4,7,6,1,5,3,8,2] => [6,1,5,8,4,3,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,2,4,5,3,8,1] => [4,6,3,5,2,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,7,5,3,8,4,2] => [8,5,4,3,1,7,2,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[8,6,7,5,3,1,4,2] => [8,6,5,2,7,4,3,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[8,5,2,7,1,6,4,3] => [8,7,3,2,5,6,4,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,6,1,5,3,8,4,2] => [8,5,4,7,3,2,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,6,2,4,7,8,1,3] => [4,1,7,3,2,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,4,6,1,7,8,5,2] => [5,1,2,3,8,7,4,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,8,6,7,1,5,2] => [8,6,1,2,4,7,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,8,5,6,7,2,3,1] => [3,6,1,4,8,7,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,6,4,1,2,7,3] => [1,8,5,6,4,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,6,1,7,2,4,3] => [1,8,6,7,4,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,1,7,2,6,4,3] => [1,8,7,5,6,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,5,7,2,6,4,3] => [3,8,7,5,6,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,7,2,5,6,3,4] => [7,5,8,4,6,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,7,2,5,1,3,4] => [4,6,1,7,8,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,7,2,1,6,3,4] => [4,1,7,8,5,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,1,5,2,6,7,3] => [1,6,4,8,3,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,8,5,1,6,2,4] => [7,8,5,1,4,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,7,8,1,4,3] => [8,6,3,2,1,4,7,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,1,2,8,5,6,3,4] => [7,5,8,6,2,3,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,2,1,5,6,3,4] => [7,3,5,8,4,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,1,7,8,5,2,3,4] => [6,7,3,1,8,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,2,1,8,4,3] => [8,4,2,7,5,3,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,7,5,2,1,6,4,3] => [8,4,7,5,3,6,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,5,3,6,8,2,7,1] => [1,3,2,4,6,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,6,3,4,8,1,7,2] => [3,1,4,2,8,6,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,8,5,1,3,2] => [2,8,1,6,3,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,3,1,2,6,7,5] => [6,3,2,8,4,5,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,5,1,6,3,4,7,2] => [5,6,4,2,8,3,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,1,8,6,3,4,7,2] => [5,1,6,4,8,7,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,8,1,5,3,7,2] => [6,1,5,2,8,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,5,8,3,2,7,1] => [2,3,1,6,5,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,8,1,3,4,7,2] => [5,6,2,1,8,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,3,1,2,7,4] => [1,8,5,4,2,6,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,1,8,3,5,2,7,4] => [8,4,6,5,1,7,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,8,3,5,2,1,4] => [4,7,6,2,1,8,5,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,1,3,5,2,7,4] => [8,4,6,3,5,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,3,5,6,2,4] => [7,4,5,8,3,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,8,3,5,1,2,4] => [6,4,1,7,2,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,2,4,3,6,7,1] => [5,3,1,4,6,8,7,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,8,2,3,1,6,7,4] => [3,4,1,6,8,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,2,3,5,1,7,4] => [8,3,4,1,6,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,2,3,5,6,1,4] => [7,3,4,5,1,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,6,5,1,4,3,7,2] => [6,5,8,4,3,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,4,8,6,1,3,7,5] => [8,2,5,6,1,4,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,7,1,8,4,3,5,2] => [6,5,1,8,7,3,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[2,7,8,6,1,4,3,5] => [7,5,6,2,8,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,3,8,1,6,4,5] => [7,8,3,5,1,2,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,1,8,2,4,6,3] => [6,8,5,2,7,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,8,4,1,6,3,5] => [7,4,8,5,1,2,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,5,4,1,3,8,7] => [8,5,4,1,3,2,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,8,2,5,7,6,3,1] => [8,1,4,7,3,6,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,5,3,4,1,8,7] => [4,5,3,1,2,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,6,1,5,2,3,8,7] => [1,8,5,3,4,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,2,3,5,1,4,8,7] => [8,2,3,5,4,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,7,5,1,8,4,3] => [2,8,7,5,1,4,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,5,1,8,3,4,7] => [6,7,2,3,1,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,5,2,8,3,4,1] => [6,8,4,3,2,1,7,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[2,4,7,6,5,8,1,3] => [7,5,2,4,1,3,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,1,4,8,7,6,3,5] => [7,8,6,1,3,5,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,4,6,8,5,3,2,1] => [3,8,2,1,7,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,8,5,1,6,7,2,3] => [7,1,5,3,8,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,7,2,8,1,3,4] => [4,1,6,2,7,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,3,8,6,7,4,1] => [5,1,8,7,2,3,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,3,8,6,7,4,2] => [5,1,8,7,3,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,2,5,8,6,7,4,1] => [5,8,1,3,7,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,3,2,8,1,4,7] => [4,3,1,6,2,7,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,6,3,5,2,7,4] => [8,4,6,5,2,3,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,7,6,2,5,3,1,4] => [7,4,6,8,5,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,7,6,8,3,2,5,1] => [6,5,1,3,2,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,7,5,8,1,3,4,6] => [5,6,3,7,1,2,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,6,2,8,5,1,4,3] => [8,6,7,3,2,1,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,3,7,5,2,6,4] => [8,6,3,5,7,2,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,8,7,5,1,6,2] => [8,6,1,2,5,7,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,3,8,1,4,2,5,7] => [2,6,4,5,1,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,8,5,7,4,1,2] => [7,4,1,8,2,6,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,4,8,7,5,6,3] => [6,8,7,1,3,5,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,5,8,2,6,4,3] => [3,8,7,5,6,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,8,2,4,1,7,5] => [4,5,1,2,8,6,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,1,6,7,3,4] => [7,5,1,8,2,4,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,2,8,1,6,7,3,5] => [1,7,5,8,2,4,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,8,1,6,7,3,5] => [7,2,5,8,1,4,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,8,2,6,7,3,4] => [7,5,1,8,4,6,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,4,8,7,2,1,5,6] => [6,1,2,5,7,8,4,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,8,5,3,6,4,2,1] => [8,4,3,1,7,6,5,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[2,8,5,7,4,1,3,6] => [6,3,7,5,8,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,4,1,6,7,2,3] => [1,7,5,3,8,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,1,4,6,7,2,5] => [7,1,4,5,8,3,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,2,3,4,6,7,1,5] => [7,2,3,4,5,8,6,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[6,2,7,3,8,4,1,5] => [7,4,6,2,1,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,3,2,8,5,1,6] => [3,2,7,4,6,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,2,8,4,6,1,7] => [2,5,1,7,3,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,2,6,5,3,1,7] => [2,7,6,3,5,4,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,2,5,3,1,6,8] => [6,3,2,5,4,7,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,3,6,2,5,4,1,7] => [7,2,4,6,5,3,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,3,2,6,1,7] => [2,1,5,4,7,6,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,8,2,3,1,5] => [2,5,1,7,6,3,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,6,4,2,1,7] => [1,7,3,6,5,4,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,8,6,2,5,3,1,7] => [7,1,4,6,5,3,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,6,4,3,2,8,7,5] => [3,8,4,2,7,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,3,2,8,4,7,6] => [8,3,2,6,7,1,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,7,4,3,1,2,6,8] => [5,1,6,4,3,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,8,6,4,1,2,5] => [6,7,2,5,1,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,1,2,7,3,8,5,4] => [8,7,5,2,3,1,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,1,7,4,3,8,6,5] => [8,4,7,1,5,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,4,3,8,2,7,5] => [3,8,4,6,1,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,3,2,8,7,4,6] => [7,8,3,1,6,2,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,8,4,2,7,6,5,3] => [8,3,7,6,4,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,3,7,2,6,5,4] => [8,7,3,5,6,4,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,1,4,8,3,7,2,6] => [3,5,1,7,8,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,1,6,8,5,4,7,3] => [3,6,5,8,1,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,5,7,8,2,4,3] => [3,8,6,4,1,7,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,3,1,6,7,2,5,4] => [8,2,6,4,7,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,8,6,1,3,2,5] => [2,7,5,6,1,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,6,1,2,5,3,8] => [1,7,4,5,6,3,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,6,1,5,2,4,8] => [6,7,1,4,5,3,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,3,6,1,2,5,4,8] => [2,7,4,5,6,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,7,1,3,2,6,8] => [6,4,2,1,5,7,3,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,4,8,2,1,3,6] => [1,6,5,3,7,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,6,2,1,5,3,8] => [4,2,7,5,6,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,2,6,3,8,5,7,4] => [6,3,8,7,1,2,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,2,6,8,4,7,3] => [4,2,6,8,7,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,7,2,3,8,1,4,6] => [3,4,1,6,7,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,7,5,8,1,2,3] => [2,6,1,7,4,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,8,5,1,6,3,2] => [8,2,7,5,4,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,8,3,6,1,7,4,2] => [1,8,3,7,5,4,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,2,1,7,5,3] => [8,4,3,7,5,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,2,1,5,8,6,3] => [8,3,2,5,7,4,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,4,1,8,5,2,3] => [7,3,8,6,4,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,6,4,8,7,5,3,2] => [2,8,7,3,6,5,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,1,2,8,4,7,5] => [2,8,6,7,3,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,5,1,3,2,8,6,4] => [8,4,7,3,2,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,1,2,5,8,6,3] => [1,8,5,7,3,4,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,4,1,2,7,5,3] => [8,7,4,3,1,5,6,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,5,8,1,2,6,4,3] => [8,7,4,2,5,1,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,2,1,7,3,6,4] => [8,3,1,6,7,4,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,1,8,2,4,7,5] => [8,1,5,6,2,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,4,1,8,7,3,2,6] => [2,1,7,6,8,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,1,8,7,2,4,6] => [6,1,2,7,8,5,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,8,4,1,7,6,2,3] => [1,7,3,8,6,4,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,1,7,5,4,3,2] => [8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,1,5,8,6,4,3,2] => [8,3,7,6,5,2,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,1,8,7,3,6,4,2] => [1,8,5,7,6,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,8,7,6,2,5,3] => [8,1,6,7,5,4,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,1,8,7,6,5,2,4] => [7,8,6,1,5,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,4,5,2,3,7,8] => [5,3,6,4,1,2,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,4,5,2,3,6,8] => [5,3,6,4,7,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,6,7,3,4,2,5] => [5,7,6,3,8,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,5,7,3,4,2,6] => [5,3,7,6,8,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,5,2,8,4,7,3,6] => [5,2,7,8,6,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,7,3,5,2,6,4,8] => [7,3,5,4,6,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,3,6,2,5,4,8] => [7,3,5,6,4,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,7,4,6,2,3,5,8] => [5,3,6,7,4,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,5,6,2,3,4,7] => [5,6,3,7,4,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,5,6,2,4,3,7] => [7,5,3,6,4,8,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,2,8,5,6,4,7] => [5,7,2,6,8,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,8,4,6,3,7] => [5,2,7,6,8,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,8,4,5,3,7] => [5,7,6,2,8,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,1,2,4,5,3,6,7] => [4,6,2,3,5,7,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,6,4,7,2,1,3,5] => [6,5,3,7,2,8,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,6,4,7,2,8,3,5] => [3,7,2,8,5,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,4,6,2,3,5,1,7] => [4,2,5,7,6,3,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,2,3,6,1,7] => [4,2,1,5,7,6,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,5,3,4,8,2,6] => [4,5,3,7,2,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,6,4,8,2,3,5] => [6,4,7,3,2,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,7,4,1,2,3,6] => [5,1,6,7,4,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,5,1,6,3,7,2,4] => [5,7,4,2,8,3,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,3,7,4,8,2,5] => [5,7,3,4,1,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,3,5,8,2,6] => [4,1,5,7,3,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,1,6,4,8,2,3,5] => [6,4,7,3,8,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,5,8,2,3,4,7] => [5,6,3,7,1,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,7,3,8,2,4,6] => [4,6,1,7,3,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,5,7,8,2,3,4] => [6,3,7,4,1,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,8,6,1,2,3,5] => [5,2,6,7,1,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,6,1,2,3,5,8] => [4,1,5,6,7,3,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,6,5,8,2,3,4,7] => [5,6,3,2,7,8,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,7,4,1,2,3,6] => [5,6,2,7,4,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,7,4,8,2,3,6] => [2,6,4,7,3,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,4,8,2,1,3,5] => [6,5,3,7,2,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,1,2,7,3,5] => [7,8,4,3,5,2,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,1,3,6,2,4] => [5,7,2,8,4,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,1,8,2,3,6,7] => [5,6,2,1,7,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,8,7,2,3,4,6] => [5,2,6,7,8,4,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,7,1,3,8,2,4,6] => [4,6,1,7,8,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,5,8,6,2,3,4] => [6,3,7,8,5,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,1,8,7,2,3,5,6] => [5,1,6,7,8,4,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,1,8,7,2,3,4,6] => [5,6,1,7,8,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,7,6,4,5,3,2] => [5,8,7,6,4,3,1,2] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,8,7,3,6,5,4,2] => [8,7,4,6,5,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,1,5,8,3,4,2,6] => [5,3,7,6,8,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,4,3,2,5,6,8] => [5,4,2,3,6,7,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,4,2,3,8,5,7,1] => [6,2,8,3,1,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,2,7,5,8,3,1] => [2,5,4,1,8,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,4,6,5,8,2,3] => [7,3,5,4,8,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,4,3,2,5,8,6] => [4,3,8,2,5,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,4,6,5,3,8,2] => [6,3,5,4,8,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,4,6,5,3,2,8] => [7,3,6,5,2,4,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,2,7,5,3,8,1] => [2,6,5,3,1,4,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,4,7,2,6,8,5,1] => [5,8,1,2,4,3,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,7,1,6,8,5,2] => [5,8,1,2,7,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,4,1,7,5,3,6,8] => [2,6,1,5,7,3,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,4,1,7,8,6,2,5] => [7,1,2,4,8,6,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,4,2,7,5,8,1,3] => [2,7,5,3,1,4,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,2,7,5,3,1,8] => [2,7,6,3,1,5,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,4,7,2,6,8,1,5] => [7,1,2,4,5,3,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,4,7,3,6,8,2,1] => [2,1,4,5,3,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,3,2,5,6,1,7] => [1,4,3,5,7,6,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,7,3,5,1,2,6] => [6,1,4,7,5,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,4,7,1,6,2,8,5] => [8,1,2,6,4,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,7,2,6,5,8,1] => [6,1,2,4,5,3,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,3,1,2,6,7,5] => [1,6,3,8,4,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,1,6,3,4,2,7] => [5,1,7,6,3,4,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,5,1,3,7,2,4] => [5,7,1,8,4,3,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,5,1,3,4,7,2] => [5,6,1,8,4,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,4,2,6,7,1] => [3,1,5,4,6,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,7,3,6,2,8,1] => [2,1,4,6,5,3,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,7,2,6,1,8,3] => [2,1,8,4,6,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,3,7,5,1,2,8] => [3,2,6,1,7,5,4,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,3,7,5,1,8,2] => [2,8,3,1,6,5,4,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,4,3,1,5,8,7] => [4,2,3,8,5,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,8,3,2,1,6,4,7] => [4,3,1,7,5,6,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,7,3,6,2,1,8] => [2,1,4,7,6,5,3,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,4,3,8,5,2,1,6] => [2,7,3,6,5,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,3,2,8,6,5,1,7] => [1,7,2,6,3,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,8,7,5,1,6,2] => [8,1,6,2,5,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,3,7,5,2,6,1] => [2,6,3,5,8,7,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,3,7,8,4,1,2,6] => [6,1,7,2,5,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,5,8,3,1,4,7] => [6,5,2,3,1,7,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,4,8,3,1,5,7] => [3,6,2,5,1,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,3,8,4,1,6,7] => [6,2,3,1,5,7,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,8,7,4,1,6,2] => [1,8,6,2,5,7,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,2,8,6,4,1,7] => [7,2,1,6,3,5,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,3,8,4,2,1,6] => [7,3,2,6,5,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,5,3,6,2,4,1] => [4,6,3,8,7,5,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,6,5,3,7,2,4,1] => [4,6,3,2,8,7,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,4,3,8,2,6,1] => [4,3,2,6,1,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,5,3,8,2,7,1] => [2,4,3,1,6,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,5,6,3,8,2,4,1] => [4,2,6,3,1,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,6,3,7,2,4,1] => [4,2,6,3,8,7,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,7,3,4,2,6,1] => [4,2,6,5,8,7,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,5,8,4,3,2,6,1] => [2,6,5,4,1,8,7,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,4,3,2,7,1] => [2,1,6,5,4,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,3,4,2,7,1] => [4,2,1,6,5,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,8,3,4,2,6,1] => [4,2,6,5,1,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,4,6,2,3,1] => [2,6,4,1,8,7,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,4,8,3,5,2,7,1] => [2,4,1,6,5,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,3,5,2,8,1] => [2,4,1,6,5,3,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,8,3,7,2,6,1] => [2,1,4,6,8,7,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,5,8,3,7,2,4,1] => [4,2,1,6,8,7,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,5,8,4,7,2,3,1] => [2,1,6,4,8,7,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,8,4,7,3,2,1] => [2,1,4,8,7,6,5,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,4,7,3,8,2,5,1] => [2,4,1,6,3,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,7,3,8,2,6,1] => [2,1,4,6,3,8,7,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,6,3,8,2,7,1] => [2,1,4,3,6,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,6,2,4,7,8,1] => [2,4,1,5,3,6,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,6,1,4,8,7,2] => [8,2,1,5,3,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,2,4,6,8,1] => [2,4,1,5,6,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,1,5,6,8,7,2] => [2,1,8,4,5,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,1,5,8,6,7,3] => [6,1,8,2,4,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,1,5,8,7,6,3] => [1,8,7,2,4,6,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,1,5,7,8,6,2] => [2,1,5,8,4,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,7,5,8,6,2] => [1,8,2,5,4,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,7,1,4,8,2,6] => [2,5,1,7,8,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,1,5,7,8,2,6] => [2,1,7,4,5,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,8,5,4,6,7] => [1,6,2,5,7,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,8,7,5,4,6] => [7,1,6,8,2,5,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,7,1,8,4,3,6] => [7,6,1,8,2,4,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,2,1,8,4,3,5] => [7,3,6,1,8,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,2,1,8,4,5,3] => [6,8,3,1,7,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,2,1,8,6,5,4,7] => [7,1,6,2,5,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,1,6,7,8,5,2] => [2,1,4,5,8,7,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,2,1,6,8,7,5,3] => [1,8,4,7,2,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,1,6,8,5,7,3] => [4,1,6,8,2,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,6,8,5,3,7] => [4,1,7,2,6,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,1,8,7,4,3] => [3,1,8,7,2,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,6,1,8,3,4,7] => [6,7,2,1,3,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,1,6,8,3,7,5] => [4,1,8,2,6,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,1,6,7,8,2,5] => [2,1,4,7,5,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,7,3,1,5,8,2,4] => [3,7,5,1,8,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,2,1,7,8,6,3,5] => [1,7,4,8,2,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,1,8,7,6,4,5] => [7,8,1,6,2,5,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,1,8,6,4,7,5] => [8,1,6,2,5,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,8,4,6,5,7] => [1,7,2,5,6,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,8,4,7,6,5] => [8,1,7,2,5,6,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,8,7,4,6,5] => [8,1,6,7,2,5,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,7,8,3,6,5] => [1,8,6,2,4,7,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,7,1,8,3,6,4] => [8,6,1,7,2,4,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,7,1,8,3,4,6] => [6,7,1,8,2,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,1,8,4,5,7,6] => [1,8,2,5,6,7,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,4,8,6,2,5,3,1] => [8,2,5,1,7,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,3,1,8,2,5,6] => [6,3,2,7,8,4,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,2,8,5,6,1,3] => [2,7,5,8,3,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,8,5,2,4,6,1] => [5,6,2,4,1,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,8,2,5,7,4,1] => [5,8,2,1,4,7,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,4,3,8,1,5,2,7] => [3,2,7,5,1,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,3,7,8,2,4,1,5] => [5,7,2,1,6,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,7,3,8,2,4,1] => [1,4,2,6,3,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,7,2,6,8,1,3] => [2,1,7,4,5,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,8,2,4,7,5,1] => [8,2,4,1,5,7,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,4,2,6,8,1,3] => [1,7,4,3,5,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,8,2,7,5,1,3] => [2,7,1,8,4,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,3,1,4,2,7,8] => [6,4,3,5,2,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,7,4,2,6,1,3,8] => [4,1,6,3,7,5,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,2,3,8,1,7] => [4,1,5,3,2,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,3,7,8,2,4,1] => [1,6,3,2,4,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,6,3,8,2,4,7,1] => [3,1,5,2,6,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,3,7,2,5,8,4,1] => [5,8,2,1,4,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,6,8,2,4,7,1] => [5,2,1,3,6,8,7,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,4,6,2,3,8,1,7] => [4,2,1,5,3,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,6,7,8,2,4,1] => [3,1,6,2,4,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,4,2,1,5,8,7] => [4,1,3,8,5,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,6,3,4,2,1,8,7] => [3,1,5,4,2,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,4,2,1,5,8,7] => [2,4,3,8,5,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,4,2,1,3,8,7] => [4,1,8,5,3,2,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,7,8,5,4,1,6,3] => [8,6,5,4,1,2,7,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,8,5,4,1,6,3,7] => [7,5,4,1,3,6,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,6,3,8,5,4,1,7] => [7,6,3,1,2,5,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,8,6,3,5,4,1,7] => [7,4,6,5,1,3,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,8,6,4,2,1,3,7] => [1,6,5,7,4,3,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,1,5,7,8,6,3] => [5,1,8,2,4,7,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,7,8,6,3,5,4,1] => [8,5,2,7,6,1,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,3,8,5,7,6,2,1] => [8,1,4,7,2,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,2,1,8,4,3,5] => [7,3,6,8,4,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,1,8,5,6,4,3,7] => [4,7,6,1,5,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,1,8,5,6,3,7] => [5,1,7,2,6,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,4,2,1,5,6,3,7] => [3,5,2,7,4,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,6,3,8,4,1,7] => [2,7,4,1,3,6,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,3,4,2,1,8,5,7] => [2,4,3,7,1,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,8,5,6,4,2,1] => [4,2,8,7,1,6,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,8,5,6,4,2,1,7] => [3,7,6,1,5,4,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,6,4,2,1,5,7] => [6,5,1,4,7,3,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,7,8,6,4,2,1,5] => [7,6,5,1,2,8,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,5,3,7,6,2,4,1] => [6,2,8,3,7,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,2,4,1,8,5,3] => [4,8,3,7,5,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,5,4,1,7,6,2,3] => [7,3,2,8,6,4,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,2,3,8,5,4,1] => [8,7,3,4,2,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,1,7,8,6,4,3,5] => [7,6,3,8,1,5,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,6,4,3,7,8,5] => [4,6,1,3,8,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,4,2,1,3,7,8,5] => [3,6,2,8,4,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,8,4,2,1,6,3,5] => [4,7,3,8,5,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,6,2,3,8,4,1] => [1,8,4,5,3,2,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,1,8,4,3,7,5] => [5,8,6,1,2,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,2,3,7,5,6,1] => [6,2,8,3,4,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,5,7,6,2,1,3] => [3,7,1,6,8,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,5,6,1,8,4,2,3] => [7,2,8,6,4,3,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,7,5,8,4,3,6,1] => [3,6,5,2,8,1,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,4,3,6,1,7,5] => [3,8,4,6,1,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,7,8,3,2,1,5] => [7,2,1,6,5,3,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,3,7,5,2,1,8] => [2,7,3,1,6,5,4,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,3,2,8,4,1,7] => [3,7,4,2,1,6,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,2,7,8,4,1,3] => [7,4,2,1,8,3,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,3,2,5,8,1,7] => [4,3,2,5,1,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,7,2,5,4,1,8] => [7,2,4,1,6,5,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,2,7,5,4,1,8] => [7,2,6,3,1,5,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,2,6,3,1,7,5] => [5,2,8,3,6,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,3,7,4,2,8,6] => [5,2,8,3,6,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,7,3,4,2,8,5] => [4,5,2,8,6,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,8,5,2,3,1,7,4] => [4,5,1,8,6,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,6,2,3,1,7,4] => [4,1,5,8,6,3,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,8,6,4,1,7,5] => [5,8,1,6,2,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,7,3,4,2,8,6] => [4,5,1,8,6,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,8,3,2,6,7,4] => [4,6,1,8,5,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,7,2,1,4,6,3] => [4,1,6,8,5,7,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,5,8,2,3,1,7,4] => [4,5,2,1,8,6,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,8,3,2,5,7,4] => [4,6,2,8,5,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,8,2,6,7,4] => [6,2,8,3,5,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,2,8,1,5,6,3] => [6,2,8,3,5,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,2,8,3,1,7,5] => [5,2,8,3,1,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,2,3,1,6,8,7] => [3,1,4,2,8,5,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,4,2,1,3,6,8,5] => [3,6,2,8,4,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,1,3,6,7,5] => [3,6,2,8,4,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,2,1,5,3,8,7] => [3,1,5,8,4,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,7,1,3,2,6,8,4] => [4,6,1,8,3,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,1,3,2,6,7,4] => [4,6,1,8,3,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,2,1,3,6,7,5] => [3,1,6,8,4,5,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,3,2,5,7,8,6] => [3,6,1,8,2,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,4,8,1,2,3,7,6] => [8,4,2,1,5,6,7,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,4,7,6,3,2,5,8] => [6,2,5,7,4,1,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,3,8,2,7,1,6,5] => [1,8,2,4,6,7,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,2,8,1,7,6,5] => [1,8,2,7,3,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,8,3,7,2,5,6] => [4,1,6,7,8,5,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,8,7,3,2,5,6] => [1,6,5,7,8,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,7,6,2,1,8,5] => [5,8,1,2,6,4,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,3,6,7,4,1,8,5] => [5,3,8,1,2,6,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,3,4,7,8,1,5] => [7,3,4,1,2,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,7,8,4,2,5,6] => [6,1,5,7,3,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,8,2,6,4,1,5] => [7,4,6,1,2,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,2,3,8,1,6,7,5] => [6,1,8,2,3,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,1,8,2,5,7,6] => [2,1,8,5,6,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,6,7,4,2,5,8] => [6,5,2,3,7,1,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,2,7,8,4,1,6,5] => [5,8,1,6,2,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,2,4,8,6,1,5] => [7,8,1,3,4,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,4,8,1,6,5] => [8,1,4,6,2,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,4,7,1,8,6,5] => [8,1,7,2,3,5,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,4,2,6,8,1,5] => [3,7,1,4,5,2,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,1,5,8,2,3,6] => [1,6,4,7,8,3,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,6,4,8,2,1,5] => [4,7,6,1,3,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,7,3,8,4,1,5] => [7,4,2,6,1,3,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,6,4,7,1,8,5] => [8,4,1,2,3,6,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,7,5,2,6,3,4,1] => [6,8,4,3,7,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,5,2,7,3,4,1] => [6,8,4,3,2,7,5,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,4,8,5,6,3,2,1] => [4,8,2,1,7,6,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,4,6,7,8,5,1,2] => [3,7,1,2,4,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,2,6,4,7,5,8,3] => [6,4,3,5,8,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,7,5,4,2,6,8] => [6,1,5,4,7,2,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,2,5,6,3,7,4] => [4,8,6,3,5,7,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,2,6,4,8,5,7,3] => [6,3,8,4,7,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,8,3,1,4,2,5,6] => [6,4,3,5,7,1,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,1,5,2,3,6,7] => [5,1,6,3,4,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,4,1,5,2,3,6,8] => [5,6,3,2,4,7,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,1,8,4,3,2,7] => [1,7,6,5,2,8,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,8,6,4,3,2,7] => [1,7,6,5,4,8,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,6,3,8,7,2,4] => [7,3,1,8,4,6,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,2,5,8,3,7,4] => [4,8,6,7,2,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,8,7,4,3,2,5] => [7,6,5,1,8,4,2,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,2,5,4,8,6,3] => [4,8,5,7,2,3,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,3,7,5,2,8] => [1,7,4,3,6,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,6,7,8,5,2,4] => [3,7,4,8,2,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,3,7,8,2,5] => [1,7,4,3,5,8,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,6,4,8,2,7,5] => [8,1,4,3,6,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,6,3,8,7,2,5] => [1,7,3,8,4,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,1,8,4,3,2,6] => [7,6,5,2,8,3,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,1,7,4,3,2,8] => [7,6,5,3,2,1,4,8] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[4,1,8,5,2,3,7,6] => [1,8,5,4,6,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,1,6,8,3,7,2,5] => [1,5,3,7,8,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,6,1,3,8,2,7] => [5,2,1,7,3,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,8,1,4,3,2,7] => [7,6,4,2,1,5,8,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,3,5,7,6,8,2,4] => [7,3,5,2,4,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,7,6,2,8,4] => [8,3,6,2,5,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,5,2,7,6,4,8] => [3,7,2,6,1,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,5,7,4,2,6,8] => [3,6,2,5,7,1,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,5,4,7,2,6,8] => [4,2,3,6,7,1,5,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,4,7,8,2,6] => [3,7,2,4,5,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,5,4,7,2,8,6] => [3,8,2,4,6,1,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,5,7,4,8,6,2] => [8,3,5,2,4,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,7,8,4,6,2] => [6,3,4,8,2,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,5,7,8,4,2,6] => [7,3,6,2,4,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,7,2,8,6,4] => [8,3,7,2,5,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,2,7,4,8,5] => [8,3,6,4,1,2,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[3,5,1,6,2,8,7,4] => [4,1,2,8,7,3,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,7,2,5,4,8,6] => [5,8,2,4,6,1,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,7,5,2,4,8,6] => [8,5,2,4,6,1,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,3,7,4,8,1,6] => [5,2,7,1,3,4,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,4,7,2,3,8,6,5] => [8,2,7,4,5,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,7,3,1,8,6,5] => [8,2,4,7,1,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,6,3,8,2,7,5] => [8,2,4,3,6,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,2,8,7,6,4] => [8,3,7,2,6,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,7,3,8,2,6,5] => [8,2,4,6,3,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,1,7,8,4,6,3] => [2,6,4,8,1,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,7,8,1,5,4] => [3,8,1,6,2,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,2,7,8,4,1,6] => [2,7,1,6,3,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,1,6,8,4,7,3] => [4,2,6,8,1,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,2,1,7,8,3,5] => [1,7,3,5,2,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,4,7,8,2,1] => [4,2,1,3,5,8,7,6] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,5,2,6,8,4,7,1] => [4,1,2,6,8,3,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,4,6,8,7,1,3] => [3,2,4,7,8,1,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,6,2,8,7,5,4] => [3,8,7,2,6,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,6,3,8,7,2,5] => [7,2,3,8,4,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,7,2,4,8,6,3] => [2,8,5,7,4,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,3,7,2,8,5,1] => [8,1,3,2,5,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,7,3,8,6,2,5] => [7,8,2,4,3,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,7,8,5,1,4] => [3,7,1,4,8,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,7,2,8,6,5,4] => [8,7,6,2,4,1,3,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,1,6,8,2,4,3,7] => [7,5,3,1,6,8,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,3,7,8,2,4,1,6] => [5,1,7,2,6,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,3,7,2,4,1,6] => [3,5,2,7,6,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,4,7,3,1,5,6] => [3,6,2,5,7,8,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,4,7,8,3,1,5,6] => [6,2,5,7,1,3,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,3,1,5,8,2,4,7] => [2,6,4,7,1,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,3,4,2,8,1,7] => [3,5,4,2,1,7,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,2,4,3,8,1,6,7] => [4,2,3,1,6,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,4,8,1,5,6,7] => [2,1,3,5,6,7,8,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,2,4,6,8,1,5,7] => [1,6,2,3,4,7,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,1,5,7,3,2,4,6] => [6,5,3,7,8,2,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,7,8,2,3,1,5] => [5,1,2,7,6,3,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,8,7,2,4,1,6] => [5,1,7,2,6,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,4,8,7,3,1,5,6] => [6,2,5,7,8,1,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,6,8,7,2,3,1,5] => [5,1,2,7,6,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,4,6,2,3,1,5] => [5,3,7,6,8,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,6,8,7,2,3,1,4] => [1,5,2,7,6,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,8,7,2,3,1,5] => [2,5,1,7,6,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,1,7,4,2,8,6,5] => [8,1,4,7,5,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,8,4,1,7,6,5] => [8,1,4,7,2,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,6,4,8,2,3,1,5] => [5,3,7,6,2,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,7,6,8,2,3,1,5] => [5,7,1,6,3,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,7,2,3,1,5] => [5,3,7,6,2,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,2,3,7,4,1,6,5] => [5,8,2,3,6,7,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,3,7,8,4,1,6,5] => [5,8,6,1,2,3,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,6,4,2,3,7,5] => [8,5,4,6,2,3,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,8,6,2,3,1,5] => [5,7,1,6,2,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,6,2,3,1,4] => [5,2,7,6,8,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,5,8,6,2,3,1,4] => [5,2,7,6,1,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,1,7,6,4,2,8,5] => [5,8,1,6,4,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,8,7,6,2,3,1,5] => [5,7,1,6,8,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,7,5,2,3,1,4] => [5,1,7,6,8,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,3,6,1,5,8,7,2] => [1,8,2,5,3,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,6,5,1,8,7,2] => [1,4,2,3,8,7,5,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,6,5,3,8,7,2] => [1,4,3,8,5,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,5,3,1,8,7,4] => [8,4,3,1,2,7,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,6,5,1,8,7,3,4] => [7,3,2,8,1,6,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,5,8,1,3,7,4] => [8,5,3,1,2,6,7,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,6,5,8,3,1,7,4] => [5,3,2,8,1,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,5,3,8,1,7,4] => [8,4,3,1,2,6,7,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,1,6,5,8,3,7,2] => [1,4,3,6,8,7,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,6,5,8,3,7,2] => [4,2,3,6,8,7,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,4,3,8,7,1,5,2] => [2,8,3,1,6,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,4,8,3,7,1,5,2] => [2,4,1,8,6,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,8,5,3,7,1,4] => [5,2,7,4,8,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,8,1,5,7,3,2] => [5,1,2,8,7,4,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,1,8,5,7,3,2] => [5,1,2,8,7,6,3,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,4,6,8,5,3,7,2] => [3,6,2,5,8,7,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,1,8,5,3,7,2] => [6,1,5,2,8,7,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,8,5,3,1,7,4] => [5,2,8,6,1,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,8,5,1,7,3,4] => [7,2,8,5,1,4,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,8,3,5,1,7,2] => [4,1,2,8,6,5,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,8,3,1,5,7,2] => [6,1,4,2,8,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,3,8,5,7,1,2] => [7,1,3,2,5,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,6,8,1,5,7,2] => [1,6,2,3,8,5,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,6,1,8,5,7,2] => [1,6,2,3,8,7,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,1,6,8,5,7,2] => [2,1,4,6,8,7,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,3,6,8,7,5,2] => [1,8,4,7,3,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,2,8,7,3,1,4] => [7,6,2,1,8,3,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,2,8,7,1,3,4] => [6,7,2,1,8,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,5,8,7,1,3,4] => [6,3,7,1,8,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,5,8,7,3,1,4] => [3,7,6,1,8,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,3,8,1,7,5,2] => [8,1,3,2,7,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,3,1,8,7,5,2] => [8,1,3,2,7,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,6,3,8,7,5,2] => [3,8,2,7,4,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,8,1,3,7,5,2] => [8,1,5,2,7,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,8,5,7,3,1,4] => [7,6,4,1,8,2,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,8,5,7,1,3,4] => [6,7,4,1,8,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,4,8,7,1,5,3,6] => [7,2,5,6,8,1,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,8,7,5,3,1,6] => [7,1,6,5,8,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,1,8,7,5,3,2] => [8,2,1,7,6,5,3,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,4,8,7,5,3,2] => [8,7,3,1,6,5,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,4,8,7,3,5,2] => [6,2,8,3,7,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,8,7,3,5,2] => [2,6,1,8,7,5,3,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,4,8,7,3,5,1,6] => [5,7,2,6,8,1,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,4,7,1,8,6,5] => [8,7,1,2,3,5,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,4,7,8,5,6,1] => [6,4,8,1,2,3,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,6,7,4,8,5,1] => [3,8,5,1,2,4,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,6,3,7,8,1,4] => [2,7,4,1,3,5,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,7,1,4,8,6,5] => [8,7,1,2,4,5,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,7,8,4,5,6,1] => [5,6,3,8,1,2,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,7,3,4,8,5,1] => [8,4,2,5,1,3,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,3,2,6,4,7,8] => [3,6,4,1,2,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,3,2,6,7,4,8] => [3,5,2,7,1,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,7,3,2,8,5,4,6] => [7,3,6,8,4,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,2,7,5,4,8,6] => [5,8,2,6,1,3,4,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,5,2,4,3,7,1,8] => [5,3,4,2,1,7,6,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,2,5,3,7,1,8] => [5,3,2,4,1,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,4,8,2,1,5,7] => [3,6,1,5,2,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,2,8,5,3,4,7] => [6,7,5,2,8,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,2,3,7,5,1,8] => [1,7,3,4,2,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,2,3,6,5,1,8] => [1,7,3,4,6,5,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,2,3,5,6,1,8] => [3,1,4,5,7,6,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,3,2,7,4,6,1,8] => [2,5,1,7,3,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,6,4,7,1,8] => [2,5,3,1,4,7,6,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,6,2,3,5,7,1,8] => [3,1,4,5,2,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,2,6,8,4,3,7] => [4,2,7,6,8,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,7,2,8,4,3,6] => [2,7,6,8,4,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,2,1,8,6,4,7] => [7,1,3,2,6,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,8,4,2,1,5,7] => [6,5,1,4,2,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,2,6,1,8,5,7] => [2,1,7,3,4,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,2,3,4,8,6,5] => [8,7,3,4,5,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,8,2,3,5,7,6] => [8,4,1,5,6,7,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,1,8,4,5,7,6] => [8,1,2,5,6,7,3,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,3,2,1,4,5,8,6] => [3,2,8,4,5,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,1,4,3,5,2,6] => [5,4,7,3,6,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,2,3,4,6,8,5] => [6,8,2,3,4,5,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,1,2,3,4,8,7,5] => [8,7,2,3,4,1,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,8,2,3,4,7,6,5] => [8,7,3,4,5,6,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,1,2,3,4,6,7,5] => [6,8,2,3,4,5,7,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,8,1,3,5,4,7,6] => [5,8,1,3,4,6,7,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,7,1,4,3,5,2,6] => [5,4,7,3,6,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,2,1,4,5,7,6] => [3,2,8,4,5,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,8,2,1,6,5,4,7] => [7,1,3,6,4,5,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,7,8,3,5,4,2,6] => [7,4,6,5,2,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,1,8,3,5,2,6] => [5,2,7,6,8,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,1,7,3,5,2,6] => [5,2,7,6,8,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,4,6,2,1,5,7] => [3,6,1,5,7,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,2,5,3,1,6,7] => [6,3,2,5,4,7,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,5,2,4,3,1,6,7] => [6,3,5,4,2,7,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,3,2,5,4,1,6,7] => [2,6,3,5,4,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,2,5,1,8,6,7] => [3,2,1,4,7,8,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,7,8,1,5,3,6] => [7,2,5,6,1,3,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,7,3,5,4,2,6] => [7,4,6,5,8,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,8,2,7,4,3,6] => [7,6,1,8,4,5,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,7,2,8,4,3,6] => [7,6,1,8,4,2,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,2,8,5,3,4,7] => [6,7,5,8,2,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,2,1,8,4,5,7] => [3,2,6,7,1,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,8,4,3,5,1,6] => [5,4,7,6,1,2,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,1,8,3,5,4,2,6] => [7,4,6,5,8,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,2,3,4,8,7,5] => [8,7,3,4,1,2,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,1,7,3,5,4,2,6] => [7,4,6,5,8,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,4,8,7,5,1,2] => [7,8,2,1,3,6,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,7,5,3,6,1,2] => [7,5,1,4,8,6,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,8,4,2,1,6,7,3] => [4,1,6,3,8,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,4,1,2,6,7,3] => [6,1,8,4,3,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,7,2,6,1,8,4] => [8,2,1,4,6,5,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,2,8,1,6,3,7,4] => [8,6,2,1,4,5,7,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,8,2,1,4,7,6,3] => [8,3,1,5,7,4,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,4,1,2,6,5,3] => [8,7,4,3,5,1,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,1,2,4,7,6,3] => [8,5,1,7,3,4,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,2,8,3,6,7,1,4] => [7,4,1,5,8,2,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,7,6,2,4,1,5] => [5,7,6,8,1,4,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,7,6,4,1,3,5] => [6,7,5,8,4,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,8,7,6,3,1,4,5] => [6,5,7,8,4,1,3,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,7,6,2,4,3,5] => [7,5,6,8,4,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,7,6,3,4,2,5] => [5,7,6,8,4,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,1,7,3,6,5,8,4] => [6,5,8,1,4,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,7,2,6,5,8,4] => [6,1,5,8,4,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,7,1,6,5,8,4] => [6,1,5,8,2,4,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,2,8,5,7,3,4] => [7,5,8,6,2,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,2,1,8,5,7,3,4] => [7,5,8,2,1,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,2,1,7,5,8,3] => [6,3,2,5,1,8,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,3,8,5,2,7,4] => [8,6,3,5,1,7,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,7,1,6,8,5,4] => [5,8,7,1,2,4,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,7,2,6,8,5,4] => [5,8,7,2,4,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,8,2,6,5,3,1,4] => [7,6,8,3,1,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,2,6,7,5,8,1,4] => [3,7,1,5,2,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,2,7,5,6,3,8,4] => [4,8,6,5,1,2,3,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[2,8,7,6,4,3,1,5] => [7,6,5,8,4,1,3,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,8,7,6,1,2,5,4] => [8,5,6,7,1,4,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,6,2,1,5,4] => [5,8,6,7,1,4,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,7,6,2,1,3,5] => [6,1,5,7,8,4,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,8,7,6,1,3,2,5] => [7,1,5,6,8,4,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,7,6,4,1,2,5] => [6,7,5,8,1,4,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,7,6,4,2,1,5] => [7,6,5,8,1,4,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,1,4,6,8,2,3,7] => [3,6,4,1,7,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,7,6,3,5,4,8,2] => [6,4,5,3,2,8,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,3,7,2,6,5,1,8] => [1,7,2,4,6,5,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,6,8,5,7,3,4,2] => [2,6,4,8,7,5,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,4,1,5,8,6,3,7] => [2,7,1,4,6,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,6,1,2,5,8,3,7] => [5,1,7,8,3,2,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,8,6,5,1,2,4,3] => [8,5,6,1,7,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,3,6,5,7,8,2,4] => [4,3,7,2,5,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,5,2,4,1,7,3] => [8,4,1,6,5,3,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,4,2,3,6,8,5] => [6,3,8,2,4,5,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,8,3,4,6,7,2] => [4,2,5,6,8,7,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,3,1,2,4,7,6,5] => [2,8,7,3,4,5,6,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,8,1,6,5,4,7] => [7,6,1,2,4,5,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,1,4,7,2,5,3,6] => [3,7,5,6,8,2,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,7,8,6,2,1,5] => [7,6,1,2,3,8,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,8,6,2,7,1,5] => [5,7,1,2,4,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,2,1,6,7,3,4] => [7,3,1,5,8,4,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,2,8,6,4,3,1] => [8,1,7,6,3,2,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,1,2,7,5,3,8,4] => [8,6,5,2,3,1,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,3,2,8,6,4,1,5] => [7,2,6,8,3,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,7,8,4,6,3,1,5] => [4,7,6,2,8,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,5,2,6,1,8,4] => [8,2,4,3,6,5,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,2,3,6,1,7,4] => [8,3,4,2,6,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,6,3,5,7,2,4] => [7,4,5,3,8,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,6,4,3,7,1,5] => [5,4,7,3,8,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,8,7,6,5,1,4] => [7,8,6,5,1,2,4,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,5,8,7,3,2,1,6] => [7,1,2,6,5,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,8,1,7,5,4,3] => [2,8,7,6,1,4,5,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,6,8,4,7,2,1,5] => [4,2,7,1,6,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,2,8,4,7,6,1,5] => [7,8,1,4,6,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,8,2,3,7,1,4] => [4,1,5,2,7,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,6,8,4,2,7,5,3] => [4,2,8,7,5,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,8,4,3,7,1,6] => [2,5,4,7,8,1,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,8,4,1,2,7,3] => [1,8,5,2,6,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,8,4,3,2,7,5] => [5,4,2,8,6,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,2,8,6,5,4,3] => [8,7,6,5,2,3,1,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,1,4,8,6,2,5,3] => [8,3,6,7,5,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,3,1,8,6,2,5,4] => [8,2,6,7,5,3,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,2,8,7,5,4,3] => [2,8,7,6,5,1,3,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,6,4,8,7,2,5,3] => [8,3,2,6,7,5,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,4,8,7,2,1,5] => [7,3,1,2,6,8,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,2,5,8,7,6,1,4] => [7,8,1,3,6,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,4,8,7,6,1,5] => [7,8,1,6,2,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,1,5,8,7,2,6,4] => [8,1,3,6,7,5,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,1,4,8,7,2,6,5] => [8,1,6,7,3,5,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,4,8,2,7,5,3] => [8,3,2,7,5,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,5,8,2,7,6,3] => [8,2,3,7,5,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,5,8,1,2,7,3] => [8,1,5,3,2,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,4,8,3,2,7,5] => [3,5,2,8,6,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,1,4,8,2,5,3] => [4,8,6,7,3,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,1,3,8,2,5,4] => [8,4,6,7,3,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,2,5,1,8,6,4,3] => [3,8,7,2,6,4,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,5,3,8,6,1,4] => [7,3,8,2,4,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,1,4,8,6,5,3] => [8,7,2,4,6,3,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,2,1,3,8,6,5,4] => [8,7,2,6,3,4,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,3,4,8,6,1,5] => [7,8,2,3,4,1,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,5,4,8,2,1,6] => [4,2,3,7,6,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,6,5,1,8,7,4,3] => [3,2,8,7,1,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,5,4,8,2,7,3] => [4,3,2,8,6,7,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,5,3,8,2,7,4] => [8,4,3,2,6,7,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,6,3,4,8,2,7,5] => [8,3,4,2,6,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,5,4,8,2,7,6] => [3,8,2,4,6,7,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,6,5,4,8,2,1,7] => [4,3,1,2,7,6,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,6,1,4,2,8,5,3] => [4,8,7,3,5,2,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,1,2,3,8,5,4] => [8,7,3,4,5,2,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,5,4,2,8,6,3] => [4,3,8,7,2,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,2,3,8,6,4] => [8,7,4,2,3,5,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,1,2,4,3,8,6,5] => [8,4,7,2,3,5,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,5,4,3,8,1,7] => [5,4,3,1,2,7,8,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,6,1,4,3,2,8,5] => [5,4,8,3,6,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,5,4,3,2,8,6] => [5,4,3,8,2,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,1,4,2,6,8,7,5] => [1,8,3,5,7,2,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,7,3,5,4,1,8] => [7,4,2,6,1,5,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,8,3,5,4,1,6] => [7,4,6,5,1,2,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,8,3,5,4,1,7] => [7,4,2,6,1,5,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,1,2,8,5,3,6] => [1,7,6,8,3,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,1,2,7,5,3,6] => [1,7,6,8,3,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,6,3,7,5,4,8] => [7,6,1,4,2,3,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,7,1,3,6,8,4,5] => [7,5,8,1,3,4,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,7,3,2,8,1,4,5] => [4,3,6,1,7,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,1,2,6,5,3,8] => [7,6,3,2,4,5,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,4,3,1,5,6,8,2] => [5,3,2,6,8,4,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,4,1,5,8,3,2] => [5,3,1,8,7,4,2,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,5,3,1,7,6,8,2] => [1,3,2,6,5,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,1,2,7,5,3,8] => [1,7,6,3,4,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,1,2,8,5,3,7] => [1,7,6,8,3,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,4,3,1,5,6,7,2] => [5,3,2,6,8,4,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,3,1,8,6,7,2] => [1,3,2,6,8,7,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,5,6,3,1,7,2] => [3,8,1,6,5,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,3,4,8,6,7,2] => [6,8,3,1,4,7,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,3,8,1,6,7,2] => [3,2,1,6,8,5,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,5,3,4,1,6,7,2] => [3,6,4,2,8,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,8,2,1,5,3,7] => [4,2,7,5,1,6,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,3,2,5,1,4,8] => [4,3,6,1,7,5,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,3,2,5,1,4,7] => [4,3,6,1,7,5,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,1,4,6,8,3,2] => [4,1,5,8,7,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,1,3,4,7,6,8,2] => [6,3,4,1,5,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,3,7,1,6,8,2] => [3,2,1,6,8,5,4,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,7,5,4,1,8,3,2] => [1,8,7,5,4,3,2,6] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[8,2,7,6,5,4,1,3] => [7,8,6,5,2,4,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,2,8,6,5,4,3,1] => [8,7,6,5,2,1,4,3] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[8,7,2,6,5,4,1,3] => [7,8,6,3,5,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,8,7,6,5,3,1,2] => [7,8,6,1,5,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,6,1,5,4,3,2] => [8,7,6,4,1,5,3,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[4,8,5,7,6,3,2,1] => [8,3,7,1,6,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,4,6,5,2,1] => [8,4,7,6,1,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,6,3,5,4,1] => [8,5,7,6,4,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,6,1,3,2,4,7] => [6,4,5,2,7,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,5,3,2,4,7] => [6,5,7,3,4,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,5,3,2,4,6] => [6,5,7,4,8,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,4,5,2,3,7] => [6,4,7,3,5,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,3,1,5,2,4,7] => [6,3,7,4,5,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,1,5,2,3,7] => [6,2,7,4,5,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,2,1,5,4,3,7] => [7,3,6,4,5,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,2,6,1,4,3,7] => [7,3,5,2,6,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,2,1,7,4,3,6] => [7,3,6,2,8,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,2,1,5,4,3,6] => [7,3,6,4,5,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,3,1,5,2,4,6] => [6,3,7,4,5,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,7,5,2,3,6] => [6,2,7,5,8,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,1,5,4,3,6] => [7,6,2,4,5,8,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,6,1,7,4,3,5] => [7,6,8,2,4,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,4,3,2,6,5] => [5,4,8,6,7,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,5,7,3,2,6,4] => [5,3,8,6,7,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,1,3,2,6,4] => [5,1,8,4,6,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,1,5,7,3,4] => [7,5,8,2,4,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,6,7,2,3,4] => [6,1,7,4,8,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,6,1,8,2,3,4] => [6,1,7,8,4,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,2,5,1,8,3,4] => [7,8,3,1,5,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,1,6,8,2,3,4] => [6,7,4,2,8,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,7,1,8,2,3,4] => [6,7,2,1,8,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,3,8,1,2,4,5] => [5,3,6,1,7,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,1,8,2,3,6] => [6,7,3,2,8,4,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,1,4,8,2,3,5] => [6,4,7,8,3,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,1,6,4,7,2,3,5] => [6,4,7,3,8,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,8,1,3,2,4,6] => [6,4,5,2,7,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,4,1,3,2,5,6] => [6,4,5,3,7,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,1,7,3,2,4,6] => [6,5,7,2,8,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,7,3,2,4,5] => [6,5,7,1,8,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,4,3,6,2,5] => [5,4,7,8,6,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,3,1,8,6,4,2,5] => [7,2,6,8,5,3,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,4,5,1,7,2,3,6] => [6,2,7,3,8,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,8,1,7,2,3,4] => [6,1,7,2,8,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,1,2,7,3,4] => [7,8,4,2,1,5,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,3,1,8,5,6,2,4] => [7,2,5,8,6,3,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,7,8,3,1,5,4] => [5,8,6,2,1,3,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,8,1,7,3,2,6,4] => [5,1,8,6,7,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,7,3,2,6,5] => [5,2,8,6,7,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,4,1,3,6,5] => [8,5,2,4,6,7,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,4,3,8,1,2,6,5] => [3,2,8,5,6,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,7,1,5,4,3] => [2,8,7,5,6,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,5,2,3,6,4,1] => [8,4,5,3,1,7,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,5,2,3,4,7,1] => [4,5,1,6,3,8,7,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,5,2,6,8,1,4,7] => [6,1,3,2,4,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,5,3,6,8,1,7] => [2,4,1,3,5,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,2,4,6,8,1,3,7] => [3,6,2,1,4,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,3,5,2,6,8,1,7] => [2,1,4,3,5,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,3,5,7,2,6,8,1] => [2,1,3,5,6,4,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,5,1,7,8,2,6] => [2,1,3,7,5,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,1,3,4,8,2,6] => [4,5,1,7,8,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,1,3,4,6,8,2] => [4,5,1,6,8,3,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,7,1,3,6,8,2] => [1,5,2,6,8,4,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,7,1,5,8,2] => [1,6,2,3,8,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,6,4,1,7,8,2] => [2,6,1,4,3,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,7,3,4,8,2] => [5,3,1,6,4,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,7,1,3,5,8,2] => [5,2,6,1,8,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,7,3,4,5,8,2] => [4,5,2,6,3,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,7,4,5,8,1,3] => [4,2,7,5,1,3,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,7,4,8,1,3,5] => [6,4,2,7,1,3,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,6,1,2,7,8,4] => [2,6,1,8,4,3,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,2,6,7,4,8,1] => [4,1,2,6,3,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,3,6,7,4,8,1] => [4,6,2,1,3,5,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,2,3,6,1,7,8,4] => [6,2,3,1,4,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,1,3,7,8,4] => [6,8,2,1,4,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,7,2,8,1,4,6] => [4,1,2,6,7,3,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,1,3,4,6,8,2,5] => [7,3,4,5,8,2,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,7,2,4,6,8,1,5] => [7,1,3,4,5,2,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,7,2,6,8,1,4] => [2,7,1,4,5,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,7,2,5,8,1,4] => [7,2,4,1,5,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,7,2,8,1,4] => [5,2,3,1,7,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,7,2,4,8,1] => [5,2,3,1,6,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,4,5,1,7,8,3] => [3,6,2,4,1,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,2,5,6,8,3] => [5,1,6,8,3,4,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,2,4,7,3,8,1] => [4,1,6,3,2,5,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,2,6,7,3,8,1] => [4,2,1,6,3,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,2,6,1,7,8,3] => [6,3,2,1,4,8,5,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,4,6,2,7,8,3] => [3,2,6,4,8,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,4,1,2,7,8,3] => [6,1,8,4,3,2,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,5,1,2,7,8,3] => [6,2,8,4,3,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,4,7,1,3,8,2] => [1,6,3,2,8,5,4,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,3,1,7,8,2] => [2,1,6,4,3,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,2,4,8,1,6] => [4,3,5,2,7,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,5,2,6,1,3,7] => [4,2,6,3,7,5,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,2,1,6,3,7] => [4,7,5,3,2,6,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,3,4,1,6,2,7] => [3,7,5,4,2,6,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,5,3,1,6,2,7] => [2,7,5,4,3,6,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,5,4,2,1,8,3,6] => [4,7,3,2,8,5,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,4,2,1,6,8,3] => [4,6,3,2,8,5,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,5,3,1,6,8,2] => [2,6,4,3,8,5,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,3,5,6,1,8,2] => [3,2,4,8,6,5,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,6,7,3,1,4,8,2] => [1,6,4,2,8,5,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,3,1,8,2,4] => [1,7,4,2,8,5,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,3,7,8,1,2,4] => [3,1,6,2,7,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,7,2,4,8,1] => [3,1,5,2,6,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,7,2,3,8,1,4] => [4,1,5,2,7,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,5,2,8,1,3,6] => [4,2,6,3,7,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,3,2,4,8,1,5] => [4,3,5,1,7,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,3,4,1,2,8,5] => [3,8,5,4,6,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,3,2,4,1,8,5] => [4,3,5,8,6,2,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,3,2,5,1,8,4] => [3,8,4,1,6,5,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,3,2,7,8,1,4] => [3,7,4,2,1,5,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,3,2,7,4,8,1] => [3,6,4,2,1,5,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,5,2,7,3,8,1] => [2,6,4,3,1,5,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,4,5,6,1,2,8,3] => [2,8,5,3,6,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,3,5,1,2,8,4] => [3,8,5,1,6,4,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,4,1,2,8,3] => [1,8,5,2,6,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,2,4,1,8,3] => [1,8,4,2,6,5,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,4,2,7,8,1,3] => [1,7,4,3,2,5,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,7,2,1,8,3,4] => [4,7,2,1,8,5,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,7,3,1,8,2] => [2,1,3,8,6,5,4,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,7,8,5,6,4,1,2] => [7,4,2,8,1,6,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,7,8,5,6,1,4,2] => [8,6,4,1,2,7,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,7,8,5,6,3,4,2] => [6,4,2,8,7,5,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,5,8,6,3,4,2] => [3,6,2,8,7,5,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,7,5,8,6,1,4,2] => [3,8,6,1,2,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,5,7,8,6,4,1,2] => [7,2,3,8,1,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,5,7,8,6,3,4,2] => [6,2,3,8,7,5,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,5,7,8,3,6,4,2] => [8,2,5,3,7,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,7,8,1,6,4,2] => [8,2,7,1,5,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,8,1,6,4,2] => [1,8,7,2,5,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,8,5,6,1,4,2] => [8,6,2,4,1,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,1,5,6,3,4,2] => [6,4,8,7,3,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,8,5,6,3,4,2] => [6,4,8,7,5,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,1,7,8,3,6,4,2] => [1,8,5,3,7,6,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,1,7,8,5,6,4,2] => [5,3,8,1,7,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,7,8,5,6,4,2] => [5,3,8,7,2,6,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,7,5,8,6,4,2] => [8,4,1,3,7,6,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,1,7,3,8,6,4,2] => [1,8,7,4,3,6,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,1,5,3,8,6,4,2] => [3,8,7,4,6,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,5,8,3,6,4,2] => [3,8,5,7,6,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,8,1,5,3,6,4,2] => [8,5,4,7,3,1,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,3,5,1,6,4,2] => [8,3,7,5,4,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,3,7,1,8,6,4,2] => [1,8,7,2,6,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,5,7,1,8,6,4,2] => [8,2,7,1,6,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,5,3,8,6,4,2] => [3,8,7,4,2,6,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,7,3,1,8,6,4,2] => [1,8,3,7,6,4,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,3,8,6,1,4,2] => [1,8,3,6,2,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,5,8,1,6,4,2] => [3,8,7,1,5,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,5,8,3,6,4,2] => [3,8,5,2,7,6,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,8,5,3,6,4,2] => [8,5,4,2,7,6,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,7,8,5,1,6,4,2] => [8,7,5,1,4,2,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,7,8,6,3,1,4,2] => [8,1,6,5,2,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,6,1,3,4,2] => [6,2,8,5,1,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,7,8,1,3,6,4,2] => [1,8,5,7,4,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,8,1,5,6,4,2] => [5,8,7,1,4,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,8,3,5,6,4,2] => [5,8,4,2,7,6,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,3,8,5,6,4,2] => [5,8,7,3,2,6,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,1,8,5,6,4,2] => [5,8,7,1,6,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,1,8,3,6,4,2] => [1,8,5,7,6,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,1,8,6,3,4,2] => [6,2,8,7,5,3,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,8,1,6,3,4,2] => [6,2,8,7,4,1,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,5,1,6,3,4,2] => [6,8,7,4,3,1,5,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,8,5,1,3,6,4,2] => [8,5,7,4,3,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,5,8,1,3,6,4,2] => [8,5,2,7,4,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,1,8,3,6,4,2] => [8,5,2,7,6,3,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,1,3,8,6,4,2] => [8,7,4,2,6,3,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,1,3,8,6,4,2] => [1,8,7,4,6,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,3,5,8,6,4,2] => [8,4,7,3,2,6,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,1,7,8,6,4,2] => [4,1,8,2,7,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,1,5,8,6,4,2] => [8,2,4,7,6,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,3,1,8,5,6,4,2] => [5,8,2,7,6,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,3,8,1,5,6,4,2] => [5,8,2,7,4,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,1,3,5,6,4,2] => [5,8,4,7,3,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,8,3,5,6,4,2] => [5,8,4,7,6,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,3,8,5,6,4,2] => [5,8,7,3,6,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,3,5,8,6,4,2] => [8,4,7,3,6,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,5,7,8,6,4,2] => [4,8,1,3,7,6,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,3,4,6,8,1,2] => [3,1,4,7,5,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,3,4,8,6,1,2] => [3,1,4,7,2,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,3,4,8,1,6,2] => [3,1,4,8,6,2,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,3,4,1,6,8,2] => [3,1,6,4,8,5,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,4,6,1,2,8] => [3,1,6,4,7,5,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,6,1,2,8,4] => [8,2,5,3,6,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,1,4,6,2,8] => [5,3,1,7,4,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,7,3,1,4,6,8,2] => [5,3,1,6,8,4,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,7,3,1,4,8,6,2] => [3,1,8,5,7,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,1,4,8,2,6] => [5,3,1,7,8,4,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,7,4,1,2,8,6] => [8,2,1,5,4,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,4,1,2,6,8] => [2,5,1,6,4,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,7,1,4,2,6,8] => [2,6,4,1,5,7,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,7,1,4,2,8,6] => [2,5,1,8,4,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,5,1,2,8,6,4] => [8,7,1,4,3,5,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,8,3,5,1,2,6,4] => [3,8,5,6,4,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,8,5,1,2,6,4] => [8,2,5,6,4,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,5,8,1,2,6,4] => [8,2,5,3,6,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,5,1,2,6,4,8] => [7,1,4,5,3,6,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,5,1,2,6,8,4] => [6,8,1,4,3,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,4,3,5,2,8,7] => [4,3,5,8,2,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,7,3,8,4,1,6] => [2,7,4,6,1,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,7,8,6,1,3,2] => [1,8,2,6,3,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,6,2,8,3,1,4] => [7,4,2,6,3,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,2,4,5,1,3,8,7] => [3,8,2,5,4,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,4,6,3,2,8,7] => [3,5,4,1,8,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,6,2,4,1,8,7] => [4,1,2,5,3,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,6,7,5,4,1,2] => [7,3,8,6,1,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,7,8,3,4,1,5] => [5,7,6,2,1,3,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,5,3,4,8,1,7,6] => [8,3,1,2,4,6,7,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,1,8,2,3,4,7,6] => [8,4,5,1,6,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,7,6,2,8,1,3] => [2,1,5,7,4,3,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,8,1,5,4,6,2] => [6,5,8,1,4,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,3,4,6,8,5,2] => [5,8,3,4,7,2,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,6,5,7,1,4,2] => [8,6,2,4,3,7,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,7,1,4,6,2,3] => [1,7,5,8,4,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,6,1,8,3,5,2] => [6,8,1,7,4,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,7,2,6,3,8,5,1] => [8,1,5,3,4,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,8,4,6,7,3,5] => [7,4,5,8,1,6,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,8,6,3,1,2,5] => [6,7,1,5,2,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,1,5,6,7,2,4] => [4,7,1,5,8,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,7,2,4,8,5,3,1] => [8,4,1,7,3,2,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,8,3,6,7,5,1,4] => [7,4,8,3,6,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,1,7,6,3,5,4] => [8,6,7,2,5,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,4,5,8,1,7,6] => [1,8,2,3,4,6,7,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,4,6,3,2,1,8,5] => [2,5,4,8,6,3,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,7,5,2,3,8,1] => [2,5,1,6,4,3,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,3,1,8,7,5,6] => [7,1,8,2,3,6,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,7,5,2,3,1,8,4] => [4,5,1,8,6,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,7,2,6,5,1,8,3] => [8,1,6,3,5,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,1,8,5,7,3] => [6,2,8,3,1,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,2,6,4,1,5,3] => [8,6,3,5,7,4,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,7,8,2,5,3,1,4] => [7,4,1,6,2,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,7,3,6,8,5,4] => [5,8,7,1,4,2,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,5,7,8,4,6,3] => [6,3,4,8,1,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,5,7,2,8,3] => [4,2,8,6,3,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,4,8,1,2,5,6,3] => [6,2,8,4,5,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,7,8,6,3,5,1] => [6,1,3,8,7,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,7,4,3,2,8,5] => [5,4,8,6,2,1,3,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,8,3,4,2,1,7,5] => [3,5,4,1,8,6,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,6,1,5,7,8,3] => [5,1,6,2,3,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,6,7,3,5,8,1] => [5,2,3,6,1,4,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,5,8,3,7,4,1,2] => [4,2,1,7,8,6,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,7,5,3,4,1,2] => [1,7,5,8,6,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,8,6,3,1,5,7,2] => [6,1,4,8,5,3,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,8,7,2,5,1,4] => [5,2,7,8,1,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,3,7,5,1,8,4] => [8,6,3,1,2,5,4,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,6,4,8,7,5,1,3] => [7,2,8,3,6,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,7,2,8,5,1,4] => [7,8,2,1,4,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,2,5,8,7,1,4] => [4,7,1,2,8,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,4,8,6,5,1,3] => [7,8,3,6,2,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,4,8,7,5,1,3] => [7,8,3,1,6,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,4,5,8,7,6,1,3] => [7,8,2,3,6,1,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,5,7,6,1,8,4] => [8,3,6,1,2,5,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,6,2,8,7,5] => [4,8,2,3,7,1,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,2,3,6,1,8,7,4] => [4,8,2,1,3,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,7,3,8,1,6,5] => [1,8,4,6,2,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,1,4,7,3,8,6] => [8,4,1,2,6,3,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,2,4,6,3,8,7,5] => [4,8,3,7,1,2,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,5,2,8,7,6,3] => [1,8,3,7,6,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,3,7,2,8,6,4] => [8,7,3,1,5,2,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,1,5,3,2,8,7,6] => [3,1,8,4,7,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,1,4,3,8,7,5] => [8,4,7,1,3,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,2,3,5,1,8,6,4] => [4,8,2,3,7,5,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,3,4,1,8,7,5,2] => [8,2,3,1,7,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,5,1,8,7,6,2] => [8,1,2,3,7,6,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,4,5,2,8,7,6,3] => [8,2,3,7,6,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,4,2,8,7,5,3] => [8,3,2,7,6,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,3,1,8,7,4,2] => [1,8,3,2,7,6,4,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,2,5,1,8,6,3] => [4,2,8,3,7,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,6,2,8,1,7,4] => [8,2,1,4,3,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,6,2,7,5,1,8,3] => [8,1,6,3,2,5,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,5,2,6,1,8,7,3] => [1,4,2,8,3,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,6,2,8,7,4] => [4,2,8,3,7,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,8,3,2,7,6,4] => [2,8,4,7,5,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,5,1,4,8,7] => [8,1,3,5,4,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,2,8,4,1,3,7,6] => [8,5,2,1,4,6,7,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,4,8,7,1,3,6,5] => [8,2,5,6,7,1,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,8,1,3,7,6,4] => [2,8,7,1,4,5,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,8,1,4,7,6,5] => [8,7,1,2,4,5,6,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,3,8,2,4,7,6,5] => [8,7,2,4,5,6,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,4,1,7,2,8,6,5] => [8,1,2,7,5,3,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,2,1,7,4,8,6] => [8,1,3,2,6,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,5,1,2,8,6,4,3] => [8,7,6,3,2,4,1,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[4,6,1,2,8,7,5,3] => [8,1,7,6,3,2,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,2,3,8,7,5,4] => [8,7,6,3,1,2,4,5] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[1,5,2,3,8,7,6,4] => [2,8,7,6,1,3,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,4,1,2,8,7,5,3] => [2,8,7,6,3,1,4,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,4,1,2,8,6,5,3] => [2,8,7,6,3,4,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,3,1,7,2,8,6,4] => [8,2,1,7,5,3,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,2,8,1,3,7,6,4] => [8,7,2,1,4,5,6,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,1,2,8,3,7,6,5] => [1,8,7,5,6,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,7,5,6,8,3,1,2] => [3,7,1,4,2,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,4,7,5,3,1,2] => [3,7,2,8,6,5,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,5,2,6,4,1,3,8] => [6,7,3,2,5,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,3,7,5,8,4,2] => [5,4,2,8,3,7,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,7,4,5,8,6,2] => [8,4,5,2,3,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,6,3,4,1,5,8] => [4,6,2,5,7,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,8,4,7,5,3,1,2] => [3,1,7,8,6,5,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,8,7,5,6,3,1,2] => [7,4,8,1,6,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,6,4,5,1,2] => [7,5,8,6,1,4,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,6,5,2,8,3,7,4] => [8,6,3,2,7,1,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,6,5,2,1,4,3,7] => [4,7,5,6,3,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,6,3,1,4,5,8] => [5,4,6,7,1,3,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,3,7,5,8,4,2] => [5,4,8,3,1,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,7,4,8,6,3,5] => [7,8,4,1,3,6,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,6,3,7,5,4,2] => [8,7,4,3,6,5,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,2,7,3,6,5,4] => [8,7,5,6,3,4,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,3,8,4,7,5,6] => [7,8,1,5,6,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,1,2,7,4,3,6,5] => [5,8,6,7,2,3,4,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,1,6,8,4,7,2] => [2,4,1,6,8,7,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,8,7,1,4,3,5] => [7,5,6,1,8,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,2,1,5,4,3,6] => [7,3,6,4,5,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,4,8,3,1,5,6,7] => [2,5,1,4,6,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,4,2,7,1,5,6,8] => [1,3,2,5,6,7,4,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,2,7,3,1,4,6,8] => [5,2,4,1,6,7,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,7,2,8,4,6,5] => [8,6,7,2,4,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,3,8,2,1,4,7] => [3,6,5,2,1,7,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,6,4,5,7,1,3,8] => [3,6,4,1,2,7,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,6,2,7,1,3,8] => [4,2,1,6,3,7,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,2,1,8,5,3,4] => [7,8,3,6,4,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,5,8,6,4,3,2] => [8,3,2,7,6,5,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,5,1,2,8,3,7,4] => [8,6,7,3,2,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,6,1,4,3,7,5,2] => [4,8,5,7,3,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,7,1,3,8,4,2] => [8,5,2,1,7,4,3,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,8,3,1,7,4,6,2] => [3,1,6,8,7,4,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,1,7,5,4,6,2] => [6,2,5,8,7,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,3,8,7,4,6,5,2] => [8,5,7,6,2,4,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,1,7,6,4,3,5] => [7,6,8,2,5,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,1,7,6,3,4] => [7,1,8,3,6,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,1,8,5,3,4] => [7,8,6,2,1,4,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,1,6,5,4,3,2] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,1,8,3,6,5,4,2] => [8,7,4,6,5,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,1,8,7,5,6,3,2] => [5,8,1,7,6,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,1,7,8,4,6,3,5] => [5,7,3,8,1,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,8,7,2,6,4,1] => [8,2,5,7,1,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,6,4,5,8,3,7] => [4,5,1,3,7,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,6,3,7,5,2,1,4] => [7,3,6,2,8,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,6,3,8,5,2,1,7] => [7,1,3,2,6,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,3,7,5,2,8,1] => [6,1,3,2,5,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,3,4,7,5,1,6] => [7,2,3,4,6,8,5,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,8,3,7,5,1,6,2] => [8,1,3,6,5,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,3,4,7,8,6,1] => [5,8,2,1,3,4,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,2,3,4,7,1,6,5] => [8,2,3,4,6,7,5,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,2,3,4,8,7,1,6] => [7,8,2,1,3,4,6,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,7,6,4,5,1,8,2] => [4,8,6,1,5,3,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,6,4,5,1,2,7] => [6,4,7,1,5,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,3,6,5,8,2,1] => [5,1,3,4,2,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,3,7,5,2,1,6] => [7,1,3,6,5,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,7,5,1,6,3,4] => [7,8,5,2,4,6,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,2,7,5,8,6,3,1] => [8,1,4,3,7,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,1,7,3,6,4,2] => [1,8,5,7,6,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,7,8,4,6,3,1] => [1,5,3,8,7,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,3,2,5,7,1,4] => [3,7,4,1,5,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,3,8,5,4,2,1] => [1,8,7,3,2,6,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,2,3,4,7,5,8,1] => [6,2,3,4,1,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,2,3,4,8,5,1,7] => [7,2,3,4,1,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,2,3,4,8,7,5,1] => [8,7,2,3,1,4,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,3,1,5,7,4,2] => [3,5,1,8,7,4,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,3,4,1,8,6,5] => [8,2,3,4,7,5,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,2,3,4,8,7,5,6] => [7,8,6,1,2,3,4,5] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,8,5,3,4,6,7] => [5,6,4,7,8,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,4,2,3,5,6,7] => [4,5,3,6,7,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,6,7,4,1,5,3,2] => [8,7,5,4,2,6,3,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[8,7,1,5,4,6,2,3] => [7,5,4,8,3,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,7,1,4,6,3,2] => [5,2,8,7,4,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,4,8,5,1,7,3,2] => [8,2,1,7,5,4,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,5,7,1,6,3,2] => [3,8,1,7,5,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,4,5,6,1,3,2] => [3,8,6,4,7,5,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,1,4,6,2,3] => [7,5,8,4,3,6,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,7,2,5,1,4,6,3] => [6,8,3,5,4,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,7,2,5,1,6,3] => [8,1,4,6,5,7,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,6,4,8,5,2,7,3] => [8,3,2,6,5,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,7,1,4,2,5,6,3] => [6,4,8,3,5,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,5,1,2,4,6,3] => [6,8,4,5,3,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,1,8,5,6,2,3,4] => [6,7,4,8,5,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,8,7,1,2,5,6,4] => [6,8,1,4,5,7,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,8,7,1,2,6,4] => [2,8,1,5,6,7,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,3,8,5,7,1,6,4] => [4,8,6,7,1,2,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,7,1,5,6,2,4] => [7,5,8,1,4,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,3,8,6,7,5,1,4] => [7,4,8,6,1,2,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,8,6,7,5,1,4] => [7,4,8,1,6,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,8,6,2,7,5,3] => [8,1,7,5,4,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,4,1,2,6,5,3] => [8,7,4,3,5,6,2,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,3,8,6,7,5,2,4] => [7,4,8,6,2,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,7,1,5,6,3,4] => [7,5,8,4,6,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,5,2,4,6,3] => [6,8,5,3,4,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,1,8,2,4,6,5,3] => [8,5,7,4,6,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,2,8,4,7,5,3] => [8,5,2,7,6,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,3,8,5,7,2,6,4] => [4,8,6,7,2,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,7,1,3,5,6,4] => [6,8,4,5,7,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,1,8,2,3,6,4] => [8,5,1,6,7,3,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,8,2,3,5,6,4] => [6,8,4,5,7,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,6,3,7,4,1,5,2] => [8,3,6,5,2,7,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,2,8,6,7,5,1,3] => [7,1,4,8,6,2,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,2,7,5,6,1,3] => [2,7,5,8,3,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,3,6,1,7,5,2] => [8,1,3,7,5,4,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,4,7,5,1,6,2] => [8,2,3,6,5,7,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,4,2,5,6,1,3] => [7,4,3,5,8,6,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,2,8,6,7,1,5,3] => [8,1,6,4,7,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,1,3,6,4,5] => [7,8,2,4,5,6,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,8,3,6,7,1,5,4] => [8,6,3,4,7,1,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,8,7,2,3,6,4,5] => [7,8,4,5,6,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,7,4,1,5,6,3] => [6,4,8,2,5,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,2,1,7,5,6,3,4] => [7,5,8,2,6,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,1,5,6,2,4] => [3,7,5,8,4,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,7,3,5,6,1,4] => [7,4,5,8,6,1,3,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,3,1,6,7,5,2,4] => [7,2,4,8,6,3,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,2,1,6,7,4,3] => [5,8,3,2,7,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,2,8,6,7,5,3,4] => [7,4,8,6,5,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,8,3,6,7,5,2,4] => [7,4,8,3,6,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,2,3,6,7,5,1,4] => [7,4,8,2,3,6,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,7,2,5,6,1,4] => [7,2,4,5,8,6,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,1,3,7,5,6,2,4] => [7,5,8,3,6,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,2,7,5,6,3] => [6,2,8,7,3,4,5,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,8,6,7,3,5,4] => [8,6,4,7,5,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,1,2,7,3,6,4,5] => [7,8,5,6,2,3,4,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,7,2,3,6,4,5] => [7,8,4,5,6,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,3,7,2,5,6,4] => [6,8,3,5,7,2,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,3,6,7,2,5,4] => [8,6,3,4,7,5,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,8,2,3,6,5,4] => [8,7,4,5,2,6,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,7,1,2,3,6,4,5] => [7,8,3,4,5,6,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,1,8,5,7,4,2,6] => [4,7,1,6,8,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,5,7,4,2,6,1] => [3,6,2,5,8,7,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,8,6,4,3,5,7,1] => [5,4,6,3,8,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,3,5,4,7,1] => [6,4,2,5,8,1,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,7,5,8,4,6,3,1] => [3,5,2,8,7,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,2,7,6,1,3,5] => [6,2,7,8,3,5,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,1,7,6,3,2,5] => [7,1,6,8,5,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,1,7,6,2,3,5,8] => [5,1,6,7,4,2,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,7,1,8,6,2,5,4] => [8,6,7,1,5,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,7,6,4,5,2,8] => [5,7,1,6,4,2,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,7,5,8,4,2,6] => [4,7,1,6,3,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,8,7,5,2,4,1] => [6,1,8,7,2,5,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,5,8,4,2,6,1] => [3,6,2,5,1,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,6,4,2,8,5,1] => [4,8,2,5,3,1,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,3,6,2,5,4,1] => [8,3,5,1,7,6,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,8,2,1,6,3,5] => [4,2,7,8,5,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,4,6,3,2,5,1] => [3,6,5,8,7,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,8,5,2,1,4,3,6] => [4,7,5,6,3,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,6,2,3,8,1,5] => [4,2,5,7,3,1,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,2,5,8,3,7,1] => [4,2,6,1,8,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,5,8,1,3,2,7] => [7,1,5,3,2,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,7,1,5,3,8,2,6] => [1,5,4,7,8,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,1,3,4,6,2,8] => [4,5,1,7,3,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,1,4,2,3,6,8] => [5,6,3,1,4,7,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,1,3,2,4,6,7] => [5,3,4,1,6,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,4,6,2,1,3,7,5] => [4,2,8,5,6,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,7,2,3,6,1] => [2,1,5,6,8,7,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,4,8,7,3,1,2,6] => [2,1,6,7,5,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,6,8,2,3,7,1] => [2,1,5,3,6,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,4,2,8,3,6,1] => [1,6,3,8,4,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,7,2,1,8,3,5] => [4,2,7,1,8,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,3,4,1,2,8,7] => [3,8,5,4,2,1,6,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,8,5,4,1,3,2,7] => [7,5,1,6,4,3,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,3,7,1,5,2,8] => [3,2,7,5,1,6,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,2,5,6,1,3,8] => [6,3,2,4,7,5,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,2,8,1,5,7,3] => [6,2,8,3,1,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,3,7,8,2,5,1,4] => [5,7,2,1,3,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,3,5,6,4,2,1,8] => [3,7,2,6,5,4,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,4,3,1,5,6,2,8] => [5,3,2,7,4,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,5,2,6,1,3,8] => [4,2,6,3,7,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,7,2,8,6,4,1] => [1,8,7,2,4,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,8,2,5,4,7,1] => [6,2,4,1,5,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,8,2,1,5,7,3] => [4,2,6,1,8,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,8,2,6,4,1] => [1,8,5,2,3,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,7,8,5,6,3,2,1] => [4,2,8,1,7,6,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,3,7,6,8,2,4,1] => [1,6,4,2,3,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,8,4,6,2,1,3] => [7,1,6,4,2,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,4,3,6,7,1,2] => [1,4,3,7,5,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,6,4,7,2,1,3] => [7,1,6,4,3,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,3,8,6,2,7,4,1] => [1,8,5,2,4,7,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,7,5,8,6,3,2,1] => [8,3,1,2,7,6,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,8,6,7,5,3,2,1] => [3,8,7,1,6,5,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,3,8,7,2,4,1,5] => [5,7,2,1,6,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,8,7,2,6,4,1] => [1,8,5,7,2,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,8,6,7,2,4,1] => [1,6,4,8,2,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,7,8,6,2,4,1] => [1,6,3,8,2,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,6,4,8,2,1,3] => [7,1,6,4,3,2,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,4,2,8,1,7,3,5] => [7,2,8,3,1,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,2,4,3,7,8,1] => [5,3,4,2,1,6,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,6,2,8,7,1,3] => [2,1,7,3,8,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,8,7,2,4,1] => [1,6,2,8,3,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,4,3,1,8,2,5] => [7,4,3,1,8,5,2,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,4,3,6,8,1,2] => [1,4,3,7,5,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,5,8,6,7,3,2,1] => [4,8,1,2,7,6,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,6,8,3,7,2,4,1] => [1,4,2,6,8,7,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,6,8,2,7,1,3] => [2,1,5,3,7,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,7,8,2,5,1,4] => [5,2,7,1,3,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,8,5,7,1,4,2] => [2,8,6,1,4,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,2,5,7,8,1,4] => [4,7,1,3,2,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,7,4,6,8,1,3] => [4,1,7,5,2,3,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,6,7,1,8,4,2] => [3,1,8,2,7,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,5,6,7,1,8,3] => [3,1,4,8,2,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,3,7,5,1,6,4] => [8,6,2,3,5,7,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,2,6,3,5,1,8,4] => [8,4,6,2,5,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,3,6,7,2,4,5] => [6,7,3,4,8,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,4,2,5,6,3,7] => [5,3,7,2,4,6,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,7,5,2,8,6,3,4] => [7,3,8,6,4,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,3,1,7,8,4,2] => [3,1,5,2,8,7,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,4,8,1,5,7,2] => [3,6,1,2,8,5,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,8,4,2,6,3,7] => [2,7,5,4,6,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,7,4,1,6,8,2] => [2,6,1,4,8,5,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,7,1,2,6,4,8] => [7,1,4,2,5,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,1,8,2,3,7,6] => [1,8,5,2,6,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,5,1,2,3,8,6,4] => [8,7,3,4,2,5,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,1,2,7,3,8,5] => [8,6,3,2,4,1,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,8,4,5,1,3,2,6] => [7,5,3,6,4,1,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,1,3,2,5,4,8] => [4,7,3,5,1,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,2,4,3,5,1,6] => [5,3,4,7,6,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,2,4,1,5,3,6] => [7,3,5,4,6,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,1,4,2,7,3,8] => [7,5,3,1,4,2,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,7,2,4,1,5,3,8] => [7,3,5,4,1,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,3,5,4,8,1,2] => [7,3,1,5,4,2,8,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,4,1,6,5,7,3,8] => [2,5,1,4,7,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,6,4,7,3,8] => [5,4,2,7,1,3,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,5,1,6,4,7,3,8] => [5,4,1,2,7,3,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,6,5,7,4,8,1,2] => [3,2,7,1,5,4,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,2,4,3,7,1,8] => [5,3,1,4,2,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,2,6,1,7,3,8] => [1,7,3,2,5,4,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,1,6,3,7,2,8] => [1,5,4,2,7,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,5,3,6,1,7,2,8] => [1,3,2,7,5,4,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,3,4,1,7,2,8] => [3,1,7,5,4,2,6,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,1,4,3,7,2,8] => [5,4,1,7,3,2,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,4,7,1,3,2,8] => [1,7,5,3,2,6,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,4,5,1,3,2,8] => [7,5,3,1,6,4,2,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,5,8,1,3,2,4] => [7,5,1,6,3,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,5,1,3,2,7,6,8] => [4,1,7,3,2,5,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,6,5,7,1,3,2,8] => [7,1,5,3,2,6,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,3,6,2,7,5,8] => [2,7,3,5,1,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,5,2,3,1,7,6,8] => [3,1,4,2,7,5,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,5,7,3,8,1,2] => [3,1,2,7,5,4,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,5,4,6,1,7,2,8] => [3,1,2,7,5,4,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,1,6,4,7,2,8] => [5,1,4,2,7,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,3,6,4,7,2,8] => [5,3,2,4,7,1,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,3,6,2,7,4,8] => [7,3,2,5,1,4,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,5,2,6,1,7,4,8] => [7,1,3,2,5,4,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,2,6,4,7,1,8] => [5,1,3,2,4,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,2,3,1,7,5,8] => [3,1,4,7,5,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,3,6,4,7,1,8] => [5,3,1,2,4,7,6,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,3,6,1,7,4,8] => [7,3,1,2,5,4,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,4,7,1,3,8,6,5] => [8,2,7,1,4,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,6,7,4,3,8,1] => [3,1,6,5,2,4,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,2,7,6,4,8,1] => [2,6,1,5,3,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,7,4,3,8,2,6] => [2,5,4,7,3,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,7,3,1,8,6,4] => [2,8,4,7,1,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,2,8,3,6,4] => [2,8,6,7,4,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,7,3,1,8,4,6] => [4,2,7,8,1,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,7,3,4,8,2,6] => [4,2,5,7,3,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,6,7,1,8,4,3] => [3,1,8,7,2,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,7,2,8,5,6,4] => [6,8,7,2,4,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,3,1,5,8,4,7,6] => [8,1,2,4,6,7,3,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,1,5,8,6,4,7] => [7,1,2,4,6,8,3,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,3,7,2,8,5,4,6] => [7,6,8,2,4,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,4,3,6,8,2,7] => [4,3,2,5,7,8,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,6,4,5,7,8,3,2] => [3,4,2,5,8,7,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,5,1,7,8,6,3,4] => [2,7,4,8,1,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,6,2,8,7,4,5] => [7,3,8,2,6,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,1,7,8,5,6,3] => [6,2,4,8,1,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,6,2,8,4,7,5] => [8,6,2,3,7,1,4,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,6,5,2,7,8,4,1] => [5,3,1,2,8,4,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,4,7,5,8,3,1] => [5,3,4,1,8,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,7,8,4,2,6,3] => [8,2,6,5,3,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,7,3,1,8,6] => [3,1,5,8,2,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,2,1,7,5,8] => [2,1,4,7,5,3,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,7,1,4,3,8,6] => [5,2,8,1,4,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,5,7,6,1,8,2] => [1,8,2,3,6,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,6,1,7,5,2,8] => [1,7,2,6,4,3,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,3,2,1,6,4,7,8] => [3,2,6,4,1,5,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,1,6,2,7,4,8] => [2,7,5,3,1,4,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,1,6,3,2,7,4,8] => [4,7,5,2,1,3,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[2,6,1,4,7,5,3,8] => [7,4,6,1,3,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,1,7,4,2,5,8] => [6,1,5,7,3,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,6,1,7,5,3,2,8] => [7,1,6,5,3,2,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,6,3,7,4,2,8] => [7,4,3,1,6,2,5,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,3,6,4,2,1,7,8] => [6,2,1,5,4,3,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,3,2,6,4,1,7,8] => [2,6,3,1,5,4,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,1,6,3,7,4,8] => [7,2,5,3,1,4,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,2,6,3,1,7,4,8] => [4,7,2,1,5,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,6,3,1,7,8,5] => [4,1,6,2,3,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,7,2,8,6,4,1] => [8,2,7,1,4,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,7,1,3,6,5,8] => [2,7,1,4,5,6,3,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,6,1,3,7,5,4,8] => [7,6,1,3,4,2,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,6,2,7,4,3,8] => [7,6,4,2,1,3,5,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,4,2,1,6,3,7,8] => [3,6,4,2,1,5,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,4,2,6,3,1,7,8] => [6,3,2,1,5,4,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,4,1,6,2,7,3,8] => [7,5,3,2,1,4,6,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[3,6,1,7,5,4,8,2] => [6,5,1,4,2,8,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,1,5,4,3,7,8] => [6,5,1,3,4,2,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,6,2,5,4,7,8] => [1,6,4,5,2,3,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,1,6,4,3,2,7,8] => [6,5,4,2,1,3,7,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,4,1,6,3,2,7,8] => [6,5,3,2,1,4,7,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,4,3,1,6,2,7,8] => [6,4,3,2,1,5,7,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[7,3,1,6,5,4,8,2] => [6,2,5,4,8,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,8,1,5,4,3,6] => [7,6,2,4,5,1,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,2,7,6,5,8,1,3] => [7,1,5,4,2,3,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,2,6,5,4,1,7] => [7,6,1,3,5,4,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,2,1,5,4,6,8] => [3,2,6,4,5,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,8,6,1,4,3,5] => [7,5,6,8,2,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,1,6,8,4,3,2] => [4,2,8,7,6,3,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,4,2,1,5,6,3,8] => [3,5,2,7,4,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,6,7,4,1,8] => [2,4,1,7,3,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,7,2,5,6,1,8] => [2,1,4,5,7,6,3,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,7,1,4,3,2,5,8] => [6,5,3,4,1,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,1,6,5,2,4,8] => [6,7,1,5,3,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,6,2,4,7,1,8] => [4,1,2,5,3,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,7,8,2,5,4,3,6] => [7,6,4,5,2,8,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,7,2,5,4,3,6,1] => [6,5,3,4,8,7,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,5,6,4,7,1,3,8] => [2,6,4,1,3,7,5,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,4,8,2,7,6,3,5] => [7,8,2,6,4,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,3,6,1,5,4,2] => [8,3,7,5,6,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,5,8,7,4,6,1,3] => [7,2,5,8,6,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,3,5,2,1,6] => [4,7,1,6,5,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,4,6,7,3,5,8,2] => [5,2,3,6,4,8,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,3,7,6,4,2,1,5] => [7,6,2,5,8,4,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,3,1,8,4,7,6,5] => [8,7,1,2,5,6,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,7,4,8,6,5,1,3] => [7,8,3,2,6,1,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,5,1,4,7,3,2] => [5,8,7,4,3,2,6,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,4,1,7,3,6,2] => [6,3,2,8,7,4,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,7,2,8,5,4,1] => [8,7,2,1,4,3,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,6,3,8,2,7,5,4] => [8,7,3,2,5,6,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,2,7,4,1,8,5,3] => [4,8,7,2,1,5,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,6,4,3,8,2,5] => [5,4,7,3,2,8,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,2,4,8,6,5,1] => [8,7,1,3,4,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,2,8,7,6,1,5] => [7,8,1,2,6,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,4,3,2,7,8,6] => [4,3,6,1,8,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,7,8,5,2,4,1,6] => [5,7,6,1,4,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,8,2,5,7,4,3] => [5,2,8,7,4,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,2,5,8,4,3,1] => [4,1,8,7,3,2,6,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,7,8,4,3,1,6] => [1,7,6,5,2,3,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,3,1,7,8,4,2,6] => [7,2,1,6,4,8,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,6,4,1,3,8,5] => [8,5,4,6,1,3,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,4,2,7,6,3,1,5] => [2,7,6,8,3,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,1,7,5,2,8,4] => [8,2,6,5,3,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,2,7,5,3,1,8,4] => [5,8,6,2,1,4,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,7,3,1,8,4,6,2] => [3,1,6,8,7,4,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,6,8,5,7,4,1,3] => [2,7,4,8,6,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,2,1,7,4,8,3] => [6,3,5,2,1,8,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,4,6,2,1,8,3] => [1,5,3,8,6,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,6,4,8,3,7,2,1] => [1,3,2,5,8,7,6,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,7,1,8,3,4,2,5] => [5,7,6,1,8,3,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,8,3,5,1,4,2,6] => [3,7,5,6,4,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,2,7,1,8,3,4] => [7,1,8,3,2,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,2,4,3,8,1,5] => [5,3,4,1,7,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,3,8,6,7,1,5] => [7,2,5,8,1,3,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,2,7,4,5,3,6] => [5,7,6,8,3,4,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,8,3,6,1,7] => [3,2,5,7,1,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,1,8,5,6,4,7] => [5,7,1,2,6,8,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,8,5,6,4,7,1,2] => [3,7,5,1,4,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,3,6,4,8,1,2] => [1,7,3,5,4,2,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,2,3,1,6,4,8] => [3,4,1,7,5,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,2,4,3,6,1,8] => [5,3,1,4,7,6,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,6,2,7,1,5,3,8] => [1,7,3,5,2,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,6,2,5,3,8] => [1,7,5,6,3,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,5,3,6,2,8] => [1,5,4,7,3,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,3,5,1,4,2,8] => [3,7,5,1,6,4,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,5,6,3,4,2,7] => [5,3,7,6,4,8,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,5,6,4,7,2,3] => [3,7,5,4,8,6,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,1,6,4,8,2,3] => [1,7,5,4,8,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,6,5,8,1,7,2,3] => [7,1,3,2,8,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,5,8,3,7,1,2] => [3,1,2,7,5,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,5,8,2,3,1,7] => [5,1,3,2,7,6,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,3,5,4,7,2,6] => [5,3,4,7,8,6,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,7,2,3,1,8,5,6] => [3,1,4,7,8,5,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,5,3,8,4,7,1,6] => [5,2,7,8,1,3,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,3,8,1,7,4,5] => [7,8,3,1,2,5,6,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,7,1,8,3,6,4,5] => [7,8,5,6,1,3,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,4,8,6,1,5,2] => [8,3,6,1,2,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,2,8,7,6,3,4] => [7,1,8,6,5,2,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,3,7,8,6,4,5,1] => [6,3,8,7,1,2,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,7,8,2,6,3,1] => [8,1,2,5,3,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,6,8,3,7,4,1] => [3,1,8,5,7,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,4,8,7,2,5,3] => [8,3,6,1,7,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,8,4,7,3,5,2] => [4,6,1,8,7,5,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,1,7,8,6,4,5,2] => [6,3,8,1,7,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,7,8,3,6,4,1] => [1,8,5,3,7,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,7,8,2,5,3,1] => [2,8,1,5,3,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,4,2,6,3,1] => [2,8,5,4,1,7,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,4,5,2,7,3,1] => [3,1,8,5,4,7,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,2,5,3,7,4,1] => [8,5,3,1,4,7,6,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,3,8,4,2,7,5,1] => [4,8,2,1,5,7,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,2,5,3,8,6,4,1] => [3,8,7,2,4,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,4,7,5,8,6,2,1] => [8,4,1,2,3,7,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,6,7,4,8,5,2,1] => [2,8,4,1,3,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,4,2,8,5,3,1] => [3,1,8,7,4,2,6,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,7,5,2,8,6,3,1] => [3,8,1,7,4,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,5,3,8,6,4,1] => [3,8,7,4,1,2,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,2,8,3,7,4,1] => [1,8,5,2,7,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,3,2,7,4,1] => [1,4,2,8,5,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,8,4,2,7,5,1] => [4,2,8,1,5,7,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,5,8,2,7,3,6,4] => [2,8,6,7,4,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,4,7,2,3,6,1] => [1,5,3,6,8,7,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,6,8,1,3,7,4,2] => [1,8,5,2,7,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,4,8,1,5,3,2] => [3,1,8,7,5,2,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,7,2,8,3,6,4,1] => [1,8,5,7,3,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,7,4,8,6,2,5,3] => [8,3,6,2,7,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,5,3,7,2,4,1] => [4,1,6,3,8,7,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,5,2,3,7,4,1] => [8,4,1,5,3,7,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,3,8,2,6,4,1] => [8,3,2,5,1,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,2,3,8,6,4,1] => [8,7,3,2,4,1,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,7,4,5,8,6,2,1] => [8,3,4,1,2,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,7,3,4,8,5,2,1] => [8,3,1,4,2,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,6,4,7,8,5,2,1] => [4,2,8,1,3,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,2,7,8,5,3,1] => [2,4,1,8,7,3,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,2,5,8,6,3,1] => [2,8,4,7,3,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,8,3,4,7,5,2] => [8,4,5,1,7,6,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,4,2,5,7,3,1] => [5,3,1,8,4,7,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,8,3,4,6,2,1] => [4,2,5,1,8,7,6,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,3,4,7,8,5,2,1] => [4,8,2,1,3,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,2,3,4,1,8,6] => [3,4,1,5,8,6,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,8,3,4,5,1,7] => [4,5,2,7,1,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,1,2,7,4,5,8,3] => [5,6,4,8,2,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,7,2,3,1,5,8,6] => [3,1,4,8,5,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,1,3,8,5,6,4] => [6,8,7,1,3,4,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,7,8,4,5,3,1] => [2,5,3,8,7,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,8,3,4,1,6,7] => [4,2,6,1,5,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,6,2,7,4,3,8,1] => [1,6,5,3,2,4,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,6,7,3,2,5,8,1] => [5,1,4,2,6,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,7,3,8,5,4,1] => [2,8,7,4,1,3,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,6,1,8,4,5,3,7] => [5,7,6,1,2,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,7,8,4,3,6,1] => [6,2,5,3,8,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,8,4,5,7,1,2] => [4,2,7,1,5,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,6,8,4,7,2,3,5] => [6,4,2,7,8,5,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,5,7,8,2,6,3] => [8,2,3,6,4,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,5,7,8,6,1,2] => [7,1,2,3,4,8,6,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,4,5,7,6,8,1,2] => [7,1,2,3,5,4,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,7,4,8,5,1,2] => [4,2,7,1,3,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,5,8,3,6,4,7] => [3,7,5,6,8,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,8,1,4,6,2,3,5] => [6,4,7,8,3,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,6,7,4,8,2,5,3] => [4,2,8,6,3,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,5,8,6,2,7,3] => [8,2,3,6,5,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,5,8,3,4,7,6] => [3,8,5,6,7,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,7,2,3,5,8,4] => [6,8,4,2,5,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,8,1,2,3,5,4,6] => [7,3,4,5,6,1,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,6,7,2,3,5,4,8] => [7,4,5,2,6,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,8,2,3,5,7,4] => [6,8,4,2,5,7,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,6,8,4,5,2,3,7] => [6,4,2,7,5,8,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,8,4,5,2,7,3] => [4,2,8,6,5,7,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,8,2,3,4,7,5] => [8,4,5,2,6,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,8,2,3,7,4,5] => [7,8,4,2,5,6,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,1,4,5,2,6,3] => [4,8,6,3,5,1,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,1,2,3,4,6,5] => [8,3,4,5,6,1,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,1,2,3,6,4,5] => [7,8,3,4,5,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,7,2,3,8,5,4] => [8,7,4,2,5,1,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,2,1,6,5,3,8,7] => [5,2,1,4,8,3,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,2,4,3,1,6,5,7] => [4,2,3,7,5,6,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,6,3,5,1,8,7] => [4,1,5,2,3,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,2,1,5,8,7,3] => [1,8,3,5,2,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,5,2,1,8,7,3] => [8,1,4,3,2,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,6,4,3,8,7,5] => [8,4,1,3,7,2,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,8,2,1,6,7,3,5] => [1,7,3,5,8,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,6,2,4,3,1,5,7] => [6,3,5,4,7,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,2,4,3,1,7,5] => [5,3,4,1,8,6,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,7,2,4,3,1,5] => [7,4,1,6,5,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,1,8,4,6,5,3,7] => [7,4,6,1,5,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,6,4,8,5,7,3] => [6,3,8,1,4,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,5,2,8,3,7,1] => [6,1,3,2,8,4,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,4,5,8,3,7,1] => [3,4,2,6,8,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,2,8,3,5,7,1] => [5,2,6,1,8,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,2,6,3,5,1,7] => [5,2,7,3,6,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,4,8,5,3,7,1] => [6,3,5,1,8,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,6,3,5,8,7,1] => [1,8,4,2,3,5,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,2,1,4,6,5,3,7] => [7,2,4,6,3,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,2,1,4,8,5,7,3] => [6,8,2,4,1,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,1,8,7,4,3,5] => [7,6,8,2,1,5,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,8,4,3,7,5] => [5,8,2,6,1,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,6,5,2,1,3,7] => [2,6,5,7,4,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,8,5,2,1,7,3] => [2,5,1,8,6,4,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,8,5,7,2,1,3] => [7,2,1,6,4,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,6,8,7,5,2,1,3] => [2,7,1,6,8,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,1,4,8,6,7,3,5] => [7,5,8,1,3,6,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,8,7,4,5,1,3] => [2,7,5,8,6,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,8,6,7,5,1,3] => [7,4,8,2,6,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,6,5,7,1,3] => [7,1,5,4,8,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,4,5,1,3,7] => [6,4,7,2,5,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,2,1,5,3,7] => [4,2,7,5,6,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,8,7,2,1,5,3] => [5,1,2,8,6,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,5,8,2,1,7,3] => [5,1,3,2,8,6,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,6,8,4,3,7,5] => [5,3,8,1,6,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,7,4,2,1,3,5] => [6,5,1,7,4,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,6,4,7,1,3,5] => [6,4,7,3,8,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,5,3,1,4,6,7] => [5,4,6,1,3,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,2,8,4,3,5,1,6] => [5,4,7,2,6,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,2,1,5,3,6,7] => [3,6,4,2,5,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,5,1,4,2,3,6,7] => [5,6,3,4,2,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,1,5,3,2,6,7] => [6,5,3,2,4,7,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,7,3,8,4,2,5,1] => [6,3,1,5,2,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,3,8,4,2,1,5] => [7,3,1,6,5,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,8,4,3,5,2,6] => [5,4,7,6,8,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,8,4,3,5,2,6] => [5,4,7,6,2,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,8,1,5,6,2,3] => [2,7,5,8,4,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,8,4,3,5,6,2] => [5,4,6,8,7,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,3,1,8,4,5,2] => [3,6,1,8,7,4,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,3,8,4,5,2,1] => [5,1,8,3,2,7,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,1,4,8,3,5,2] => [4,6,1,8,7,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,4,1,3,8,2,5] => [5,7,3,1,8,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,7,8,4,3,2,5] => [2,7,6,5,3,8,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,7,8,4,3,1,5] => [7,6,5,2,1,3,8,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,2,7,8,4,3,5,1] => [6,5,3,1,8,2,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,7,4,8,3,5,1] => [4,2,6,3,8,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,7,4,8,3,1,5] => [4,2,7,6,1,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,7,8,6,3,4,5] => [6,7,3,8,5,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,7,1,8,5,3,4] => [7,2,8,6,1,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,7,8,5,3,1,4] => [2,7,6,3,8,1,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,7,8,5,3,4,1] => [2,6,3,8,7,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,8,1,5,6,2,4] => [7,5,8,1,4,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,7,8,1,5,2,4] => [7,8,2,1,5,3,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,1,2,8,5,3,4] => [7,8,6,3,1,4,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,7,8,4,2,5,3] => [2,8,6,5,3,7,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,1,2,7,6,5,8,4] => [6,1,5,4,8,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,2,4,7,3,8,5] => [8,4,6,2,3,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,5,3,6,4,8,2] => [6,4,3,5,2,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,2,6,7,4,8,3] => [4,6,5,1,8,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,7,3,2,6,8] => [3,1,6,5,7,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,1,7,3,2,5,8] => [1,6,5,7,3,2,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,1,8,3,2,5,7] => [1,6,5,7,2,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,5,7,8,3,4,2] => [3,2,6,4,8,7,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,5,8,7,3,4,2] => [3,2,6,8,7,5,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,8,1,6,3,2,5,7] => [1,6,5,7,3,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,1,6,3,2,5,8] => [1,6,5,7,3,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,2,3,7,5,4,8] => [7,6,2,3,4,1,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,8,1,5,3,7,2,4] => [5,7,4,1,8,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,5,7,3,4,8,6,2] => [2,8,4,5,3,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,8,3,4,7,6,2] => [2,8,4,5,7,6,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,5,2,4,1,6,3] => [8,4,6,5,3,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,2,3,5,6,4,7] => [5,7,2,3,4,6,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,1,2,3,5,4,7,6] => [5,8,2,3,4,6,7,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,1,8,4,6,3,2,5] => [4,7,6,8,5,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,2,4,3,1,5,7] => [6,3,5,4,1,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,2,4,3,1,5,8] => [6,3,5,4,1,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,1,2,4,5,7,6] => [1,8,3,4,5,6,7,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,7,1,8,6,4,2,5] => [7,6,8,1,5,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,4,3,7,5,8,2] => [3,6,4,2,5,8,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,8,1,7,6,4,2,5] => [7,6,8,1,5,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,2,4,3,1,5,8] => [6,3,5,4,7,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,2,4,3,5,1,6] => [5,3,4,7,6,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,7,4,6,3,2,5] => [4,7,6,8,5,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,7,6,5,3,2,4] => [7,6,8,5,4,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,5,7,3,4,6,8,2] => [4,2,5,6,3,8,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,7,2,5,3,6,1,4] => [5,7,3,4,8,6,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,1,2,3,5,4,8,6] => [5,8,2,3,4,6,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,1,2,3,5,7,4,8] => [5,7,2,3,4,1,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,1,2,3,7,6,4,8] => [7,6,2,3,1,4,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,2,3,8,6,4,7] => [7,6,8,2,1,3,4,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[8,6,5,2,4,7,1,3] => [7,4,5,3,2,8,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,5,2,3,8,6,1] => [2,8,4,3,5,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,3,7,4,5,1,6] => [5,7,2,3,6,8,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,4,7,3,2,5,1,6] => [2,5,4,7,6,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,6,3,1,2,8,7] => [2,1,8,5,4,3,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,2,3,4,5,8,6,1] => [8,2,3,4,5,1,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,3,4,6,8,5,1,2] => [7,2,3,4,1,8,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,2,6,7,4,5,1] => [6,4,8,1,3,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,2,4,6,7,1,3] => [4,1,7,3,5,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,2,4,3,1,7,6] => [5,3,1,4,8,6,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,7,6,8,5,3,4] => [7,4,3,8,1,6,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,6,1,8,5,2,4] => [7,8,6,1,4,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,7,2,3,8,5,1,6] => [1,7,3,4,6,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,3,7,8,5,4,1] => [4,8,7,2,1,3,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,2,3,8,4,5,1,7] => [5,7,2,3,1,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,3,6,8,4,1,5] => [7,6,2,3,4,1,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,3,5,7,1,4,6] => [6,2,3,4,7,8,5,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[6,4,8,3,5,1,7,2] => [2,4,1,8,6,5,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,8,3,6,7,1,2] => [2,1,4,7,5,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,5,1,8,4,6,7,2] => [5,1,2,6,8,7,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,6,1,8,4,5,2,7] => [5,7,1,6,2,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,8,3,5,2,7,1] => [4,1,2,6,5,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,8,3,2,4,1,6] => [1,5,4,7,6,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,2,3,1,4,5,7] => [3,5,4,6,1,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,7,4,8,3,1,6] => [4,1,7,6,2,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,7,8,2,1,4,6,5] => [4,8,1,5,6,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,5,2,8,4,1,6] => [7,4,1,3,6,2,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,3,2,4,1,8,7,5] => [2,8,3,4,1,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,3,4,8,5,1,6] => [7,2,3,4,6,1,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,7,3,1,4,2,6,8] => [6,4,3,1,5,7,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,7,4,8,1,2,5] => [6,2,4,1,7,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,7,4,2,6,1,5] => [5,2,4,7,8,6,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,7,4,1,5,6,2,8] => [5,1,3,7,4,6,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,3,2,4,5,7,6] => [3,8,4,5,6,7,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,4,1,6,3,7,5,2] => [2,8,5,4,7,3,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,4,2,1,6,3,5] => [4,7,3,8,5,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,3,8,7,6,4,2] => [8,2,7,6,3,5,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,4,8,1,3,6,5] => [3,8,2,5,6,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,2,8,7,5,6,3,4] => [7,5,8,6,4,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,1,8,6,7,5,2,4] => [7,4,8,1,6,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,8,6,5,7,2,3] => [7,5,2,4,8,6,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,5,4,8,2,3,7] => [6,4,3,2,7,8,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,1,6,8,3,4,2,7] => [5,3,1,7,6,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,5,1,7,4,3,8] => [7,6,2,4,3,1,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,2,1,8,7,4,3,6] => [7,6,1,8,2,5,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,6,3,8,1,4,7] => [4,6,2,1,3,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,2,8,3,4,6,1,7] => [4,5,1,7,2,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,8,4,3,1,7,5] => [5,4,8,2,1,6,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,8,1,3,6,5,4] => [8,7,2,4,5,1,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,8,5,4,6,3,2] => [5,4,2,8,7,6,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,3,8,4,1,2,7,6] => [8,2,1,5,4,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,3,6,5,2,7,4] => [8,6,3,5,4,7,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,2,4,7,6,5,3] => [8,7,4,6,3,5,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,8,1,4,6,7,5,2] => [5,8,1,4,7,3,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,2,5,1,7,6,4] => [4,8,1,3,7,5,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,8,2,5,1,6,7] => [2,1,4,6,5,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,1,4,6,5,7,3] => [6,2,4,5,8,3,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,1,3,4,5,7,6,2] => [8,3,4,5,7,2,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,1,5,2,4,7,8,3] => [5,6,3,8,2,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,6,1,5,7,2,8,4] => [4,8,1,6,3,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,8,2,3,7,5,6] => [7,1,8,4,5,6,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,8,7,2,1,4,6] => [6,2,1,5,7,8,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,7,3,5,1,4,8,2] => [3,6,1,8,5,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,7,5,8,2,3,1] => [6,2,1,4,3,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,7,4,1,6,8,3,2] => [1,5,3,8,7,4,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,4,5,7,1,3,2] => [3,1,8,6,4,7,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,6,1,4,7,8,3,2] => [4,1,5,2,8,7,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,2,4,8,3,1] => [1,5,2,8,4,3,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,3,7,4,8,2,1] => [1,5,3,2,4,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,6,7,4,8,2,1] => [3,1,5,2,4,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,2,8,6,7,4,1] => [5,1,8,2,7,3,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,2,6,7,3,1] => [2,1,5,8,4,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,8,6,2,7,3,1] => [1,8,2,5,4,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,8,5,7,2,3,1] => [6,2,1,4,8,7,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,4,8,5,6,2,1,3] => [7,2,6,4,1,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,8,5,7,2,3,1] => [2,6,1,4,8,7,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,6,8,2,4,7,3,1] => [1,5,2,8,4,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,3,8,4,7,2,1] => [1,5,2,8,3,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,3,5,8,7,2,1] => [8,1,3,2,4,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,6,3,2,8,7,5,1] => [8,1,3,2,7,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,3,8,2,7,4,1] => [1,8,3,2,5,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,6,8,2,7,4,1] => [3,1,8,2,5,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,7,2,8,6,5,1] => [8,1,7,2,4,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,2,6,8,3,1] => [2,1,5,8,4,3,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,2,7,6,8,4,1] => [5,2,1,4,8,3,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,7,3,8,5,2,4,1] => [6,1,8,3,2,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,2,7,5,4,8,1] => [6,2,5,3,1,4,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,7,2,5,3,8,1] => [2,6,4,1,5,3,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,7,5,1,4,8,3] => [6,8,5,2,1,4,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,7,8,4,2,5,1] => [6,5,2,1,3,8,7,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,5,7,8,4,6,2,1] => [5,2,3,8,1,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,7,8,4,6,2,1] => [1,5,3,8,2,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,8,4,7,3,5,1] => [4,2,6,8,7,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,4,8,7,2,5,1] => [6,2,8,1,3,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,4,8,2,7,6,1] => [2,8,1,3,5,7,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,7,5,8,6,2,1] => [8,1,4,2,3,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,5,7,3,8,6,2,1] => [8,1,2,4,3,7,6,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,8,1,7,6,3,2] => [1,8,2,7,6,4,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,4,1,8,6,3,2] => [3,2,8,7,6,4,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,5,4,1,7,6,3,2] => [3,2,8,7,6,4,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,8,2,5,6,3,4,7] => [6,4,7,3,5,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,8,4,5,1,3,6] => [6,4,7,2,5,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,7,5,6,2,4,8] => [6,4,7,2,5,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,5,2,3,7,4,6] => [7,8,4,3,5,6,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,5,8,3,2,1,6,4] => [5,4,2,8,6,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,8,1,2,6,3,4] => [7,8,4,2,5,1,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,5,4,6,2,3,7,8] => [5,3,2,6,1,4,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,5,4,3,8,1,7,2] => [4,3,2,1,8,6,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,3,6,8,5,2,4,1] => [6,3,8,2,1,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,8,5,4,6,3,1] => [5,4,2,8,7,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,1,2,8,3,7,4,5] => [7,8,5,6,2,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,5,7,3,8,1,4] => [5,3,2,7,1,4,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,3,2,7,8,5,6,4] => [6,4,8,2,7,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,2,1,8,7,3,4] => [7,8,3,2,1,6,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,6,5,3,7,8,4,1] => [5,3,2,8,1,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,2,3,8,7,1,4] => [7,8,3,2,1,4,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,1,2,3,8,6,7] => [7,8,3,2,1,4,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,1,4,2,3,7,8,6] => [6,3,8,2,1,4,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,4,2,6,3,8,7] => [5,3,2,8,1,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,6,3,8,2,7,4] => [8,4,3,1,6,7,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,8,7,6,2,5,4,3] => [8,7,5,6,4,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,7,3,1,5,6,2,8] => [1,5,3,7,4,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,3,4,1,6,7,2] => [3,1,6,4,8,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,8,4,5,6,2,3] => [4,7,5,2,8,6,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,5,8,4,2,6,7,3] => [2,6,4,8,5,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,3,8,5,2,7,4] => [8,6,3,2,5,7,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,3,7,1,6,4,8] => [7,2,3,1,5,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,3,7,5,1,4,8] => [6,7,2,3,1,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,4,8,6,2,5] => [7,8,3,4,2,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,3,4,8,1,7,5] => [8,2,3,4,1,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,7,3,2,1,6,5,4] => [3,8,4,7,5,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,3,1,5,2,4] => [7,4,8,5,6,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,4,8,5,3,7,1,6] => [5,2,4,7,8,1,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,8,6,3,1,7,5] => [5,8,2,6,1,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,6,8,2,1,7,5] => [5,1,2,3,8,6,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,1,4,5,3,2,7,6] => [3,5,4,8,2,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,6,2,1,8,7,5] => [8,1,2,4,3,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,6,2,1,7,8,4] => [4,1,2,6,3,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,6,2,7,8,1,5] => [7,1,2,4,3,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,6,2,1,7,4,8] => [4,1,2,7,5,3,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,5,6,7,3,4,2] => [3,6,4,8,7,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,5,6,7,3,2,4] => [3,7,6,4,8,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,3,8,6,7,4,5] => [7,5,8,1,6,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,8,6,7,1,5,4] => [8,6,4,7,1,2,5,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,1,8,6,7,5,3] => [5,8,2,7,1,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,8,6,1,7,4,3] => [8,2,7,5,1,4,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,4,1,6,8,7,5,2] => [8,1,2,4,7,6,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,1,4,6,2,7,5,3] => [8,3,7,5,2,4,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,1,6,7,8,4,2] => [4,1,2,5,8,7,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,1,6,7,4,8,2] => [4,1,2,6,5,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,5,6,7,4,2,3] => [3,7,4,8,6,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,8,7,4,3,1,2] => [2,1,7,8,6,5,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,4,2,7,8,5,1,3] => [2,7,4,1,8,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,4,8,7,5,2,3] => [7,8,3,1,6,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,4,8,7,5,2,3] => [7,2,8,3,6,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,7,8,5,2,3] => [2,7,4,1,8,6,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,2,5,4,8,3,6] => [5,4,7,8,3,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,7,1,5,4,8,3,6] => [5,4,7,8,1,3,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,1,5,4,8,3,6] => [5,2,4,7,8,3,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,2,7,5,4,8,3,6] => [5,4,7,3,8,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,7,5,4,8,1,6] => [5,4,7,1,2,3,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,8,3,2,4,7,1,5] => [4,3,5,1,7,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,7,2,5,4,8,1,6] => [5,1,3,4,7,2,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,7,5,4,8,2,6] => [5,1,4,7,3,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,7,5,4,8,2,6] => [5,4,7,2,3,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,8,4,7,3,2,6] => [4,1,7,6,8,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,2,4,7,3,1,6] => [4,1,7,3,6,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,4,3,7,5,1,2] => [4,3,1,7,8,6,5,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,5,6,2,1,4,3] => [5,8,6,3,7,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,2,4,7,3,1,6] => [4,7,3,2,6,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,1,5,4,7,3,2,6] => [4,3,7,6,8,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,5,4,7,3,2,6] => [4,3,7,6,8,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,3,5,4,8,2,6] => [5,3,4,7,2,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,6,3,1,4,7,2,5] => [5,3,7,8,4,2,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,4,2,7,5,1,3] => [7,3,8,4,2,6,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,1,7,2,5,3] => [8,6,3,7,4,2,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,3,7,4,6,8,2,1] => [4,1,5,2,3,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,1,3,2,7,8,5,6] => [7,3,1,5,8,2,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,3,2,7,8,5,6] => [2,7,3,5,8,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,1,7,8,5,6] => [2,7,1,3,5,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,7,3,5,4,8,1,6] => [5,3,4,7,1,2,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,5,4,7,3,1,6] => [4,3,7,6,8,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,3,4,6,8,2,1] => [3,1,4,5,2,8,7,6] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,5,4,7,3,1,6] => [4,3,7,2,6,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,3,5,4,8,1,6] => [5,2,3,4,7,1,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,1,4,7,8,5,6] => [1,7,2,5,8,3,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,1,7,6,4,3,5,2] => [6,5,8,7,4,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,4,5,2,7,1,3] => [5,3,7,4,2,8,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,1,8,6,4,3,5,2] => [6,5,8,7,4,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,4,2,5,1,6,3,8] => [7,3,2,5,4,6,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,6,5,2,1,4,8] => [6,2,5,7,4,3,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,3,6,5,2,1,7,4] => [5,8,2,6,4,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,6,5,2,1,8,4] => [5,8,2,6,4,3,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,8,6,4,2,1,3] => [2,7,6,1,8,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,8,2,6,4,1,3,7] => [6,1,7,3,5,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,2,5,1,8,3,7] => [7,3,2,4,1,8,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,5,2,1,4,7,8] => [2,5,4,6,3,1,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,8,6,3,1,4,7] => [2,6,5,7,1,4,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,5,8,1,4,7,6] => [3,8,1,2,5,6,7,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,6,8,1,5,7,4] => [6,3,8,1,2,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,3,8,5,2,7,1,4] => [5,7,2,1,4,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,7,5,2,1,4,8] => [6,2,5,1,7,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,7,6,3,1,4,8] => [2,6,5,7,1,4,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,7,6,3,1,5,4] => [5,8,6,7,4,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,8,1,6,5,7,3] => [6,2,5,8,1,4,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,5,2,1,4,6,8] => [2,5,4,6,3,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,5,1,3,7,6] => [8,3,2,5,4,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,6,8,1,4,7,5] => [8,5,1,2,3,6,7,4] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,7,8,6,3,1,4,5] => [6,5,7,2,8,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,8,5,2,1,4,6] => [6,2,5,7,4,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,6,1,8,4,7,5] => [8,6,1,2,3,7,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,8,6,3,1,4,5,7] => [5,4,6,7,1,3,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,3,5,2,1,4,6,7] => [2,5,4,6,3,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,8,1,7,3,6,4] => [2,8,6,7,1,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,1,5,7,3,6,4] => [4,8,6,7,1,3,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,6,1,4,7,5,2] => [8,2,5,7,4,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,8,6,1,4,7,5,2] => [8,5,7,1,4,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,1,5,7,3,4] => [7,5,2,8,1,4,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,7,1,5,8,3,4,6] => [6,4,7,8,1,3,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,1,6,3,8,4,5] => [7,8,5,1,3,4,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,7,6,1,8,5,2,3] => [7,8,1,6,4,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,7,5,8,1,2,6,4] => [8,5,1,3,6,2,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,6,1,8,2,5,3] => [2,8,6,7,4,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,4,5,8,6,1,2,3] => [2,6,3,7,1,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,4,5,1,7,2,3] => [7,3,1,8,5,4,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,6,8,5,1,7,2,3] => [7,1,2,8,5,4,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,7,6,2,3,8,4] => [8,5,1,6,4,2,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,7,6,2,8,3,4] => [7,1,8,5,4,2,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,8,7,6,2,3,4] => [6,1,7,8,5,4,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,5,1,7,6,2,3,4] => [6,7,2,8,5,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,1,8,4,7,5,2] => [8,5,1,2,7,6,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,5,1,8,7,2,3,6] => [1,6,2,7,8,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,6,4,7,1,2,5,3] => [8,5,3,6,2,7,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,7,1,2,8,5,3] => [2,8,7,4,1,5,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,5,1,2,7,3,8,4] => [8,6,3,4,2,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,5,1,8,7,2,3,4] => [6,7,2,1,8,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,1,7,2,8,3,4] => [7,8,5,3,2,1,4,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[6,5,1,7,2,3,8,4] => [8,5,6,3,2,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,7,4,1,8,2,3,6] => [6,1,7,3,8,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,8,7,4,1,2,3] => [1,6,2,7,8,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,5,7,4,1,2,3] => [6,1,7,3,8,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,8,4,2,3,6,7,5] => [6,3,8,4,5,7,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,8,3,4,6,7,1] => [4,2,5,6,8,1,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,7,2,3,6,8,5] => [6,1,8,4,5,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,2,1,5,7,8,3] => [3,1,5,6,2,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,5,2,3,1,7,8,6] => [3,1,4,2,6,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,6,7,4,1,8,5] => [5,1,3,8,2,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,2,7,1,4,8,3] => [6,1,8,3,2,5,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,3,8,1,7,4,5] => [7,8,2,3,1,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,2,3,7,8,6,1] => [5,2,1,8,3,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,3,8,4,1,7,5] => [5,8,2,3,1,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,4,1,5,3,8,7] => [5,3,8,1,4,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,7,6,4,1,8,5] => [5,8,1,6,2,4,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,1,7,6,8,3] => [3,2,6,1,5,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,2,1,4,7,8,3,5] => [7,2,4,5,1,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,5,1,7,8,3,4] => [7,5,3,1,2,8,4,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,2,3,7,8,1,6,5] => [1,8,6,2,3,4,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,3,1,7,2,4,6] => [6,3,1,7,8,4,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,3,1,5,2,4,7] => [6,3,7,4,1,5,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,7,4,2,6,3,8] => [7,5,4,1,6,2,3,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,8,4,2,1,5,3,7] => [4,7,5,3,1,6,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,8,2,1,4,7,3,6] => [3,5,1,7,8,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,3,2,5,1,7,4] => [3,8,4,1,6,5,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,4,3,1,5,7,2] => [6,4,3,1,8,5,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,4,2,1,5,7,3] => [4,6,3,1,8,5,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,3,2,1,4,5,7] => [5,4,3,6,1,7,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,7,3,2,4,6,8] => [5,4,6,1,7,2,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,1,8,3,6,7,4] => [6,8,2,1,5,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,8,1,6,2,7,5] => [1,8,2,6,4,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,7,2,1,6,8,3] => [4,2,1,6,8,5,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,3,1,7,5,8,2] => [3,2,6,5,1,8,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,1,7,2,6,8,4] => [2,6,1,8,5,3,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,1,7,6,4,8,5] => [8,1,6,2,5,3,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,1,6,5,8,3,7] => [5,2,1,4,7,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,4,3,1,8,5,6,2] => [3,2,6,8,7,4,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,4,2,1,8,5,6,3] => [6,2,8,3,7,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,3,2,1,7,4,5,8] => [3,2,6,7,4,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,4,2,1,7,5,3,8] => [7,3,2,6,4,1,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,2,1,8,6,3,4] => [7,8,3,2,6,4,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,8,4,2,7,3,5] => [7,4,8,5,1,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,8,3,7,4,5] => [7,8,2,5,1,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,1,7,3,6,4,8] => [7,2,5,1,6,3,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,2,7,6,1,4,8] => [2,6,1,7,3,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,8,6,1,4,7] => [2,6,1,7,3,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,1,7,3,5,6] => [6,1,7,8,2,4,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,8,7,2,1,5,6] => [1,6,2,5,7,8,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,3,2,5,8,1,6,7] => [3,2,1,4,6,7,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,3,2,5,7,1,6,8] => [3,2,1,4,6,7,5,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,1,7,2,8,5,6] => [2,1,7,8,5,3,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,4,1,7,2,8,6,3] => [2,1,8,7,5,3,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,2,1,7,8,3,5] => [7,3,2,5,1,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,2,1,6,7,3,8] => [3,5,2,1,7,4,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,2,1,6,7,4,8] => [3,2,5,1,7,4,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,2,1,7,8,5,3] => [5,2,8,3,1,7,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,2,6,8,1,7,4] => [2,4,1,8,3,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,1,4,6,8,5,7] => [2,1,5,7,8,3,4,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,3,2,6,1,7,8,5] => [2,1,6,3,4,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,1,6,7,8,4] => [3,2,5,1,6,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,6,1,4,5,7,2,3] => [4,7,5,8,3,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,6,4,5,7,1,2] => [4,7,5,1,3,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,2,8,3,7,4,6,1] => [6,1,8,4,7,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,8,5,4,7,3,1] => [5,4,1,8,7,2,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,8,6,3,7,4,2,5] => [7,4,6,3,8,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,6,5,7,2,3,4] => [6,7,4,3,8,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,8,4,3,6,7,1] => [5,4,1,6,8,2,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,2,7,3,6,1,8] => [5,2,1,7,3,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,3,8,4,7,2,1] => [5,2,1,8,3,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,2,8,4,3,7,1,6] => [5,4,1,7,8,2,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,8,3,7,4,1,5] => [7,4,6,1,8,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,2,7,3,1,8,6] => [5,2,1,8,3,6,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,3,7,1,2,8,5] => [3,2,8,5,1,6,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,3,8,1,2,7,5] => [3,2,8,5,1,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,3,8,4,2,1,5] => [7,3,6,5,2,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,2,8,5,1,6,3,4] => [7,8,5,2,4,1,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,8,4,3,1,5,6] => [6,5,2,4,7,1,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,5,3,8,4,2,6,1] => [6,3,2,5,1,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,2,7,3,1,5,8] => [6,3,2,5,1,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,4,8,2,3,5,1] => [5,3,6,2,1,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,3,1,7,8,4,6,2] => [6,2,1,4,8,7,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,2,7,8,4,6,1] => [6,2,1,4,8,3,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,1,6,3,8,7,2] => [4,2,1,8,5,7,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,1,7,8,2,3,4] => [6,7,4,2,1,8,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,1,7,8,4,2,5] => [7,2,6,4,1,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,1,7,3,8,2,6] => [5,2,1,7,4,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,2,7,8,4,1,5] => [7,2,6,3,1,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,1,5,4,3,2,8,7] => [5,4,3,8,2,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,1,6,5,7,3,4,2] => [6,4,3,8,7,2,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,4,1,5,7,6,2,3] => [4,2,7,8,6,3,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,6,2,5,3,1,4] => [7,4,6,1,8,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,1,3,5,2,8,4,7] => [7,3,4,8,2,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,3,7,4,2,5,6] => [6,3,5,7,8,2,4,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,8,7,5,2,1,6] => [7,1,6,2,5,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,7,1,8,5,3,4,2] => [6,1,8,7,5,3,2,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,7,6,4,8,3,5,1] => [4,6,3,2,8,1,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,7,1,4,8,3] => [6,8,3,2,1,5,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,4,6,1,3,2,8,5] => [5,2,8,4,6,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,7,6,3,1,5,2] => [8,2,6,5,7,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,4,1,5,6,3,8,2] => [4,2,6,5,8,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,7,5,6,1,8,2] => [4,8,1,2,6,5,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,4,7,5,6,3,8,1] => [4,6,2,5,1,3,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,1,7,6,2,8,3] => [2,1,8,6,5,3,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,5,6,7,1,4,8,2] => [2,6,1,3,8,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,4,5,3,8,1,6] => [3,5,4,7,1,2,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,7,1,3,2,5,4] => [5,8,4,1,6,7,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,6,5,7,1,4,3] => [8,6,4,3,7,1,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,8,4,3,2,6,7,1] => [1,5,4,3,6,8,7,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,5,6,2,4,7,3] => [6,3,8,5,4,7,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,5,6,2,4,7,3] => [6,3,8,5,2,4,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,8,1,3,2,7,5] => [5,2,8,4,1,6,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,3,1,7,8,6,4,5] => [7,4,8,1,2,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,1,2,8,6,7,3] => [6,2,1,8,7,3,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,4,5,2,1,6,7,3] => [4,2,6,3,8,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,3,2,7,8,4,6] => [7,3,5,1,8,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,4,2,7,8,3,6] => [3,2,7,5,8,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,7,8,3,1,5,2] => [2,8,1,6,5,3,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,2,8,4,3,1,5] => [7,6,3,5,2,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,2,8,6,3,4,7,1] => [5,1,6,4,8,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,8,4,2,1,5] => [2,7,6,1,5,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,1,8,4,3,7,2] => [6,5,2,1,8,7,3,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,3,8,4,2,1,7,5] => [5,2,4,1,8,6,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,8,3,1,6,7,4] => [4,2,6,8,1,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,8,1,2,6,7,4] => [6,1,2,8,4,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,8,3,2,6,7,4] => [4,2,6,8,5,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,6,2,4,7,5] => [8,5,6,2,4,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,7,8,4,6,1,5] => [5,7,1,3,8,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,8,3,4,6,7,2] => [4,5,1,6,8,7,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,4,2,1,6,5,7] => [2,4,3,7,5,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,7,2,5,8,1,3] => [2,7,4,1,5,3,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,5,2,6,3,1,7] => [2,7,4,3,6,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,5,8,1,2,6,4,7] => [7,1,4,2,5,6,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,5,1,2,6,4,3,7] => [7,6,3,4,2,5,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,6,1,3,4,2,7] => [5,1,7,4,6,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,4,6,1,3,2,7] => [1,7,5,3,6,4,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,4,3,6,1,8,2] => [1,4,3,8,6,5,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,6,4,3,7,8,5,1] => [3,5,2,8,1,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,1,7,8,4,5,3] => [6,4,8,2,1,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,3,1,5,4,8,2] => [3,6,5,8,4,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,4,6,5,1,7,8,3] => [6,2,4,1,3,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,7,5,6,8,2,3] => [4,7,2,5,3,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,7,6,5,8,2,3] => [7,5,2,4,3,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,5,2,4,6,8,1] => [4,5,1,3,6,2,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,1,7,4,2,8,3] => [1,8,6,5,3,2,4,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[3,7,4,8,1,2,6,5] => [3,8,1,5,6,2,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,5,7,8,1,4,2] => [3,8,2,1,6,4,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,5,7,1,8,4,2] => [3,2,8,1,7,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,7,8,2,1,3,5] => [2,6,5,1,7,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,3,8,4,1,2,5] => [3,6,1,7,5,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,5,8,3,1,2,6] => [6,1,3,7,5,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,7,4,8,1,2,5] => [6,4,1,2,7,3,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,3,1,6,8,4,2] => [3,1,5,8,7,4,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,7,3,1,8,6,4,5] => [7,8,3,6,1,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,4,3,1,5,7,6] => [4,3,8,1,5,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,1,2,3,5,7,6] => [8,3,1,4,5,6,7,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[7,6,8,1,2,4,3,5] => [7,4,5,6,2,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,8,5,1,3,2,4] => [7,5,6,2,1,8,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,5,4,6,1,7,3] => [4,3,8,6,1,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,5,2,7,6,1,3] => [2,7,3,8,4,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,4,1,2,5,3] => [8,5,6,4,7,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,7,2,3,6,8,1,4] => [7,3,1,4,5,2,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,5,3,2,7,6,1,4] => [3,7,2,8,4,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,6,7,5,8,1,2] => [3,7,1,2,5,4,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,5,7,6,1,8,2] => [8,1,2,3,6,5,4,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,6,4,5,7,8,3,1] => [3,4,2,5,8,1,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,5,1,6,2,7,4] => [8,6,1,4,3,5,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,1,3,6,8,7,4] => [8,5,1,2,7,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,4,6,1,3,7,8,2] => [5,2,1,6,3,8,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,5,7,1,4,8,2] => [6,2,3,1,8,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,4,6,8,1,5,2] => [8,2,3,6,4,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,2,8,4,1,3,6] => [6,7,3,2,5,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,4,1,8,2,5] => [7,4,8,1,5,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,8,4,1,5,6,2] => [6,4,8,1,5,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,8,6,7,4,2,1] => [4,8,2,7,1,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,1,6,7,3,4,2] => [1,6,4,8,7,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,2,5,1,8,4,3] => [8,7,3,1,5,4,2,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,8,2,1,6,7,4,3] => [5,1,8,3,7,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,6,4,5,8,3,7] => [4,5,3,7,8,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,4,6,8,3,7] => [4,5,2,7,8,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,6,1,5,8,2,4,7] => [6,1,4,7,2,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,6,1,4,8,3,7] => [5,7,2,1,3,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,1,8,4,7,3,6] => [5,2,7,8,1,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,7,5,8,2,4,6] => [6,4,7,2,3,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,1,5,7,3,4,6] => [6,2,4,7,8,3,5,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,4,8,1,3,7,6] => [3,2,8,1,5,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,4,3,7,1,2,6,5] => [3,2,8,5,6,7,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,7,3,5,8,2,6,4] => [4,8,3,6,2,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,2,6,7,3,5] => [3,7,5,8,4,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,1,6,8,3,4,5] => [6,7,2,4,8,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,1,7,6,8,2,4,5] => [6,7,1,4,3,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,2,6,8,3,5] => [1,7,5,8,4,2,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,7,2,3,6,8,4] => [6,8,4,1,5,2,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,2,1,6,3,5,8,4] => [6,8,2,5,3,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,2,5,3,6,8,4] => [6,4,8,2,3,5,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,1,2,7,8,3,6] => [7,5,2,1,8,3,4,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,3,1,2,4,6,8,5] => [6,2,8,3,4,5,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,8,1,2,7,4,6] => [7,1,2,8,4,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,6,8,1,2,4,7,5] => [8,1,4,5,2,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,3,8,7,2,6,5] => [1,8,6,7,3,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,7,4,8,2,6,5] => [8,4,6,2,3,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,6,8,2,3,7,5] => [8,2,5,3,6,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,8,1,7,2,4,6] => [6,1,2,7,8,4,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,8,1,7,3,4,5] => [6,7,2,8,1,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,1,5,8,2,3,7,4] => [8,5,3,6,1,7,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,3,2,7,5,6,4] => [6,8,3,7,4,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,7,2,8,5,6,4] => [6,8,1,7,4,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,4,1,7,3,6,2,5] => [5,2,7,8,6,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,2,8,6,1,5,4] => [8,6,7,1,3,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,3,8,7,1,5,4] => [8,6,7,2,1,3,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,7,8,4,2,6,3] => [1,8,6,5,3,7,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,8,7,4,2,6,3] => [1,8,6,5,7,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,7,2,8,3,6,5,1] => [8,1,5,7,3,2,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,1,7,8,5,3,6,2] => [6,1,5,3,8,7,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,7,4,8,3,6,2] => [4,1,6,3,8,7,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,8,7,5,3,6,2] => [6,1,5,8,7,4,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,8,2,7,3,6,5,1] => [8,1,5,7,3,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,2,4,3,7,5,1] => [4,8,3,1,5,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,2,4,3,8,5,1] => [4,8,3,1,5,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,2,7,3,5,4,1] => [8,5,1,7,3,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,7,8,2,4,1,5,6] => [4,6,1,5,7,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,8,2,4,5,7,1] => [4,5,1,2,6,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,7,2,4,5,8,1] => [4,5,1,2,6,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,6,1,7,2,5,4,3] => [8,7,5,6,3,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,6,1,2,3,5,4] => [8,4,5,6,7,3,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,4,3,1,6,2,8,7] => [5,3,2,1,8,4,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[3,8,5,2,7,1,6,4] => [8,4,1,3,6,7,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,8,6,7,5,3,4,1] => [6,3,8,7,5,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,1,8,7,3,6,4,5] => [7,8,5,6,1,4,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,5,8,2,4,7,1] => [5,3,1,2,6,8,7,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,2,1,8,7,3,4,6] => [6,7,1,8,2,5,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,2,7,4,3,8,1] => [6,5,3,2,1,4,8,7] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[4,6,5,2,7,3,8,1] => [6,1,4,3,2,5,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,7,1,8,3,5,4] => [8,6,7,2,1,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,5,4,8,3,6,1] => [4,3,6,2,8,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,5,1,2,6,4,3] => [8,7,4,5,3,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,1,6,2,3,8,5,4] => [8,7,4,5,2,3,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,8,1,3,2,7,5,6] => [4,1,7,8,3,5,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,8,1,4,7,5,2,6] => [7,1,4,6,8,3,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,3,8,7,4,5,1,2] => [7,5,1,8,2,6,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,7,4,6,2,1,3] => [2,7,6,4,8,5,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,6,7,8,2,3,5,1] => [5,1,2,6,3,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,1,3,5,2,8,4] => [8,4,6,3,5,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,3,2,4,6,1,7] => [4,3,1,5,7,6,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,7,6,5,2,3,1] => [6,8,7,1,5,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,1,8,6,4,3,7,5] => [5,8,6,1,4,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,7,6,5,3,8,4] => [8,6,5,1,4,2,3,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,7,6,1,3,5,8,4] => [6,8,4,5,1,3,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,1,7,6,8,5,3] => [5,2,4,8,1,7,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,5,6,2,7,3,1,4] => [7,4,2,6,3,8,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,2,5,6,1,7,3] => [4,2,8,3,6,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,4,1,7,8,2] => [6,2,4,3,1,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,3,6,7,5,8,2] => [4,1,6,3,5,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,5,3,8,2,4,6] => [4,6,3,7,2,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,7,8,3,1,5] => [7,3,2,6,1,4,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,6,4,7,8,3,5] => [7,4,3,5,8,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,7,4,5,8,1,3,6] => [3,6,4,7,1,2,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,5,3,1,8,4,6] => [4,7,3,8,1,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,4,7,8,3,5,2] => [6,3,4,1,8,7,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,4,7,8,1,5,2] => [8,3,1,2,6,4,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,3,6,7,1,8,2,5] => [1,7,2,3,8,5,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,4,7,8,1,2,5] => [3,6,1,2,7,4,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,6,4,1,7,8,5] => [4,6,1,2,3,8,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,7,2,1,5,3,8,6] => [3,1,5,8,4,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,4,5,2,1,8,6] => [3,5,1,4,8,6,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,3,6,4,7,2,8,5] => [8,4,2,3,6,1,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,1,7,3,8,2,5,4] => [8,4,6,3,1,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,7,3,8,2,5,4] => [8,4,2,6,3,7,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,4,7,8,5,2,3] => [7,3,4,1,8,6,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,7,3,1,8,5,4] => [8,4,7,2,1,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,4,7,8,1,5,3] => [8,3,6,2,1,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,7,3,1,8,5,4] => [8,4,2,7,1,5,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,5,1,3,2,4,7] => [6,4,5,7,3,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,7,8,3,2,5,1] => [6,2,1,5,3,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,4,7,1,2,5,6] => [5,1,3,6,7,8,4,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,6,1,2,5,4,3,7] => [7,6,3,4,5,2,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,6,1,5,3,2,7] => [7,1,6,4,5,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,6,4,1,3,2,7] => [1,7,5,6,4,3,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,6,4,5,2,1,7] => [4,7,2,6,5,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,3,8,7,1,6,4,5] => [7,8,5,6,1,2,4,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,1,2,7,3,5,6] => [6,1,7,8,3,4,5,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,1,2,7,4,5,3] => [6,8,7,3,1,4,5,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,8,4,1,3,7,2] => [1,6,2,8,5,4,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,4,7,1,6,3,2] => [3,2,8,7,5,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,5,8,7,3,6,4,1] => [8,2,5,7,6,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,4,8,7,5,6,1,3] => [7,5,8,2,6,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,4,8,5,6,2,1] => [5,8,3,1,2,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,5,2,4,6,7,1] => [4,5,1,3,6,8,7,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,7,1,8,4,6,2,3] => [1,7,5,8,6,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,3,8,7,2,1,4,5] => [6,2,5,1,7,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,3,7,8,5,6,1,4] => [7,5,3,8,1,2,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,7,6,8,5,1,2,4] => [6,7,3,1,2,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,6,7,8,5,1,3,4] => [6,2,7,3,8,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,7,8,1,6,3,5] => [7,8,2,5,1,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,7,8,2,6,3,1] => [1,8,2,5,3,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,3,4,1,2,7,5] => [3,8,5,4,1,6,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,8,7,1,5,2,3,4] => [6,7,1,8,4,5,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,2,7,6,1,4] => [3,1,7,8,4,6,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,5,3,1,8,6,7,4] => [6,2,8,1,3,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,3,2,8,6,7,1] => [1,3,2,6,8,4,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,5,6,1,4,7,3] => [6,3,8,5,1,4,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,8,6,1,5,2,7,3] => [8,1,6,4,5,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,3,7,6,1,4] => [7,1,8,3,4,6,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,6,8,5,3,2,7,1] => [2,6,1,5,4,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,4,8,5,1,7,3] => [8,3,2,6,1,5,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,6,4,8,5,2,1,3] => [3,7,6,2,1,8,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,4,8,6,5,2,7,1] => [6,5,1,2,4,8,7,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,8,7,5,6,2,1] => [5,8,7,1,2,6,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,5,3,2,8,6,1,4] => [3,7,2,8,4,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,1,3,8,6,7,4] => [6,2,8,1,7,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,2,8,6,7,3] => [1,6,2,8,7,3,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,4,8,1,3,6,7,2] => [5,2,1,6,8,4,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,3,5,4,1,6,7,2] => [6,2,4,3,8,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,4,8,5,6,1,2] => [7,2,3,5,1,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,1,5,7,2,4,8,3] => [6,3,8,5,2,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,4,3,1,2,8,5,6] => [7,3,2,8,4,5,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,4,6,5,7,1,3,2] => [8,2,6,4,3,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,1,6,3,5,8,2] => [5,2,6,4,8,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,7,6,4,1,8,2] => [8,2,6,1,5,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,2,3,6,4,8,1] => [6,3,1,4,5,2,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,7,2,4,8,3,6,1] => [4,1,6,8,3,2,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,2,4,8,6,3,5] => [7,8,4,6,3,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,6,1,5,4,8,3,2] => [5,4,8,7,3,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[4,7,3,2,1,8,5,6] => [1,4,3,7,8,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,7,6,1,2,5,3] => [8,1,5,6,7,4,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,8,6,1,3,2,5,4] => [5,8,4,6,1,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,6,7,4,1,3,5] => [6,7,5,3,8,1,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,3,1,6,5,4,7] => [7,3,6,1,4,5,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,8,5,4,2,7,3,1] => [1,8,5,4,3,7,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,3,1,2,4,5,7] => [4,5,3,6,1,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,8,7,3,1,5,2] => [2,8,1,6,5,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,3,7,8,4,1,2] => [7,3,2,1,4,8,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,2,7,4,8,1,3,5] => [6,4,7,2,1,3,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,2,6,8,1,7,5] => [2,1,4,8,3,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,1,5,6,3,8,2,4] => [5,3,7,4,8,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,2,4,7,8,3,6] => [7,4,5,1,8,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,4,2,8,1,6,7] => [4,1,3,2,6,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,1,3,8,4,2,7,6] => [5,8,3,1,6,7,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,2,8,7,3,5,4,1] => [8,5,1,7,6,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,8,4,3,6,5,2] => [4,8,5,7,6,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,6,8,7,4,1,2,5] => [6,2,7,1,5,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,8,1,7,3,2,4] => [1,7,6,2,8,4,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,6,8,7,4,2,5] => [3,7,1,6,8,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,5,8,4,3,1,2,7] => [6,2,1,7,5,4,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,8,2,7,1,5,6,4] => [6,8,1,3,5,7,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,8,2,3,4,7,5,1] => [8,3,4,1,5,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,8,7,4,2,6,1] => [6,2,5,8,1,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,5,1,8,4,2,6,3] => [8,6,5,2,7,3,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,6,8,5,2,7,4,1] => [2,8,5,1,4,7,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,1,6,5,4,8,3,7] => [5,4,1,3,7,8,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,1,7,8,4,6,5,3] => [8,5,3,7,1,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,1,7,4,3,5,8,6] => [4,8,1,5,6,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,5,7,8,4,6,1,2] => [7,2,5,1,3,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,5,2,8,4,6,3,1] => [5,2,8,7,3,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,2,3,5,7,1,4] => [7,3,4,5,2,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,8,2,4,3,1,5,6] => [6,3,5,4,7,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,3,8,1,5,4,2] => [8,3,7,5,2,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,2,7,1,3,5,8,4] => [6,8,2,4,1,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,8,2,3,5,4,7] => [7,4,5,6,1,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,4,1,6,3,8,5] => [3,8,2,6,4,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,3,1,7,5,2,6] => [3,2,7,6,8,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,8,7,1,6,5,2] => [8,1,7,2,5,6,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,1,8,5,2,6,3] => [8,1,6,5,7,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,2,4,7,8,6,1] => [2,5,1,8,3,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,4,2,8,7,1,6] => [2,3,1,7,8,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,4,3,6,8,1,7] => [4,2,3,1,5,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,8,6,5,4,1,2,7] => [6,7,5,1,4,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,7,5,6,3,8,2,1] => [3,5,1,4,2,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,5,7,2,3,1,6] => [5,1,3,7,6,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,2,7,3,4,6,1] => [5,1,6,8,3,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,2,5,4,3,1,7] => [7,6,3,1,5,4,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,2,4,5,3,8,1] => [4,6,3,1,5,2,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,2,8,3,6,1,4] => [5,1,7,8,3,2,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,3,6,4,2,8,7] => [5,3,4,1,8,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,8,7,4,6,2,3] => [1,7,5,8,6,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,3,7,5,4,2,1] => [1,8,7,3,6,5,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,1,3,4,7,5,8,2] => [6,3,4,5,1,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,3,2,1,4,8,5,7] => [3,2,7,8,4,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,2,1,4,8,7,5,3] => [8,7,2,4,1,6,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,8,3,5,7,4,1] => [5,8,4,1,7,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,8,3,5,4,6,2] => [6,4,5,8,7,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,1,2,4,8,5,6,3] => [6,8,4,7,2,3,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,1,3,4,5,8,6] => [2,8,3,4,5,6,1,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,7,3,5,4,2,1,6] => [7,3,6,5,4,8,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,4,6,5,3,2,1,7] => [7,2,6,5,4,3,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,1,6,4,3,2,8,7] => [5,4,3,1,8,2,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,8,3,6,4,7,5,1] => [8,5,3,4,7,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,1,7,5,8,3,4] => [7,5,2,4,1,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,8,7,5,2,1,4] => [7,6,1,8,2,5,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,2,1,5,8,4,3] => [5,8,3,1,7,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,8,1,5,4,3,2] => [8,7,6,4,2,1,5,3] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[5,4,8,7,6,1,3,2] => [1,8,2,6,7,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,6,1,8,5,4,3,2] => [8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 21
[6,5,8,1,7,4,3,2] => [2,1,8,7,6,4,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,8,7,4,1,3,2] => [2,1,8,6,7,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,6,4,8,3,2,5,7] => [3,6,5,2,7,8,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,3,5,6,2,4,7] => [6,3,4,7,5,8,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,8,5,6,2,3,7] => [6,2,4,7,5,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,8,5,3,7,4,6] => [7,4,8,5,6,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,4,8,2,3,5,7] => [5,3,6,7,1,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,2,5,4,7,3,6] => [5,4,7,8,3,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,4,1,2,3,8,6] => [8,4,1,5,3,6,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,4,2,5,3,8,6] => [5,3,8,4,6,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,7,4,2,1,3,8,5] => [4,8,5,3,1,6,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,3,8,5,7,1,2] => [2,7,3,1,5,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,3,6,2,1,5,8] => [3,2,6,5,7,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,7,4,5,6,1,2] => [4,7,2,5,8,6,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,7,4,3,1,5,6,8] => [5,4,1,3,6,7,2,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,8,4,2,3,1,5,7] => [4,6,5,3,1,7,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,2,8,6,1,3,4,7] => [5,6,1,7,2,4,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,3,1,4,5,6,7] => [4,1,3,5,6,7,8,2] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[7,4,8,2,3,1,5,6] => [4,2,6,5,7,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,7,3,1,5,6,8] => [5,2,1,4,6,7,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,3,7,2,1,4,5,6] => [2,5,4,6,7,8,3,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,5,7,4,1,8,2,3] => [7,2,1,8,5,4,3,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,4,5,1,8,2,3] => [7,3,8,5,4,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,6,4,1,3,7,2,5] => [5,7,3,8,4,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,3,1,8,2,5,7] => [6,3,2,7,1,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,1,2,8,3,5,6] => [6,7,2,8,3,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,1,3,5,7,2,6] => [4,1,5,7,8,3,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,4,1,3,6,2,5] => [5,7,3,8,4,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,8,1,3,7,2,4] => [5,7,2,1,8,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,6,1,8,2,4,7] => [2,6,1,7,3,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,3,1,8,2,5,6] => [1,6,3,7,8,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,1,7,2,4,5,6] => [5,2,6,7,8,3,4,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,5,8,3,7,6,2] => [1,8,3,5,7,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,5,3,8,7,6,2] => [1,8,3,7,4,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,5,3,1,7,6,2] => [4,1,3,8,7,5,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,2,7,8,1,4,3] => [1,8,6,3,2,4,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,6,2,8,7,1,5,3] => [8,1,6,2,7,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,6,3,7,1,5,2] => [4,8,1,6,3,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,3,7,5,1,2] => [4,7,1,3,8,6,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,8,2,7,5,1,3] => [7,1,2,8,4,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,2,8,7,5,1,3] => [7,1,2,8,6,3,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,2,7,4,1,8,3] => [1,8,6,3,2,5,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,7,2,3,1,8,4] => [4,1,5,2,8,6,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,2,8,3,1,4] => [1,7,4,2,6,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,7,2,1,8,3,4] => [4,1,7,2,8,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,2,1,3,8,4] => [4,1,8,5,2,6,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,1,7,8,2,4,3] => [1,8,6,4,2,7,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,1,7,2,4,8,3] => [6,1,8,5,3,2,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,6,7,8,3,4,2] => [3,1,6,4,8,7,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,8,6,7,5,4,2] => [4,8,7,1,6,5,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,1,6,7,4,8,3,2] => [3,1,5,4,8,7,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,1,7,8,4,2,3] => [1,7,4,2,8,6,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,6,8,1,7,5,2,3] => [7,1,2,8,6,4,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,6,1,7,5,3,2] => [8,7,1,6,4,3,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,7,1,8,3,2,4] => [1,7,6,2,8,4,3,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,7,1,3,8,2,4] => [5,1,7,2,8,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,7,1,3,2,8,4] => [5,1,8,4,2,6,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,7,3,1,2,8,4] => [1,8,5,4,2,6,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,7,3,8,1,2,4] => [1,6,4,2,7,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,7,3,8,2,1,4] => [1,4,2,7,6,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,6,2,3,5,1,8] => [4,2,5,7,6,3,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,4,8,6,3,2,5,7] => [6,2,5,7,4,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,1,6,3,8,5,2] => [2,8,5,4,7,3,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,2,5,7,3,1,8] => [4,2,7,3,1,6,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,7,6,3,1,8] => [1,7,3,6,2,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,5,8,6,3,2,7] => [1,7,3,6,5,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,5,1,6,8,2,3] => [7,1,5,3,8,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,4,1,3,2,7,6] => [5,8,4,3,2,6,7,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,4,2,3,6,8,7,5] => [2,8,5,7,1,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,4,8,3,7,1,6,2] => [2,1,4,8,6,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,1,8,2,5,3,6] => [1,7,5,6,8,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,4,1,8,5,3,7,2] => [2,6,5,1,8,7,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,4,6,1,3,5,2,7] => [5,2,7,4,6,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,4,3,7,8,1,6] => [3,7,2,1,4,5,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,1,6,7,2,5,3,4] => [7,8,5,3,6,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,7,6,5,8,2,4] => [7,5,1,4,3,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,2,7,5,6,8,3,4] => [4,7,5,3,8,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,2,1,7,6,8,4,5] => [7,1,5,2,4,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,8,6,4,7,1,5] => [5,7,1,4,8,2,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,8,4,6,3,2,1,5] => [3,7,6,5,1,8,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,8,6,5,3,7,2,4] => [5,7,4,3,8,6,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,5,2,7,6,1,4] => [7,3,8,1,4,6,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,5,3,1,8,6,2] => [4,1,3,8,7,5,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,5,3,6,8,1,7,2] => [1,3,2,4,8,6,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,2,6,1,8,7,4] => [4,1,2,8,3,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,3,5,7,2,8,4] => [4,8,3,2,6,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,4,6,7,8,2,3] => [3,2,4,7,5,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,6,5,7,2,1,3] => [7,2,6,4,3,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,5,2,6,8,1,3] => [2,7,4,3,5,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,2,6,8,7,1,3] => [4,2,1,7,8,3,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,1,4,3,2,8,7] => [5,4,8,3,2,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,6,5,1,4,7,3,8] => [5,7,4,1,3,2,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,6,4,5,2,1,8,7] => [3,5,1,4,2,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,4,1,3,8,6,2] => [1,8,5,3,7,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,4,2,3,8,1,6] => [4,5,3,2,7,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,6,7,3,1,4,8] => [6,5,2,1,3,7,4,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,8,1,3,5,6,2,4] => [7,4,5,8,3,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,8,3,1,5,6,2,4] => [3,7,5,8,4,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,3,8,5,6,2,4] => [7,5,8,3,6,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,8,3,5,6,2,4] => [7,4,5,2,8,6,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,7,8,3,4,6,2] => [5,1,6,3,8,7,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,7,8,2,5,6,4] => [6,8,5,2,3,7,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,7,8,5,2,6,4] => [8,6,1,5,3,7,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,7,5,8,2,6,4] => [4,8,6,2,3,7,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,7,5,8,2,6,4] => [4,8,1,6,3,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,7,8,4,6,1,2] => [1,7,5,2,3,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,7,8,4,1,6,2] => [1,8,6,2,5,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,7,8,1,4,6,2] => [6,1,8,2,5,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,1,8,4,6,2] => [6,1,8,2,7,4,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,5,3,7,8,4,2,6] => [2,7,6,3,4,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,3,7,8,4,2,6] => [7,6,3,1,4,8,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,6,2,5,1,3,8,7] => [1,8,3,5,4,2,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,2,5,1,3,8,7] => [8,3,2,5,4,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,6,1,7,3,2,4,5] => [6,5,7,8,3,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,5,8,1,7,3,4,6] => [6,2,7,8,1,4,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,2,7,3,1,4,5] => [6,3,5,1,7,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,2,7,4,5,1,3] => [7,5,8,3,2,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,2,8,1,7,3,4,6] => [6,7,1,8,2,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,3,8,1,5,6,7] => [2,3,1,5,6,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,2,8,3,7,1,4,6] => [4,6,1,7,8,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,4,6,1,3,7] => [6,4,1,7,2,5,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,1,5,8,4,3,6,7] => [3,6,1,5,7,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,8,3,2,7,1,4,6] => [4,3,1,6,7,8,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,1,3,8,2,5,6,7] => [3,5,1,6,7,8,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,5,8,2,7,1,4,6] => [4,1,2,6,7,8,5,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,5,8,2,6,1,3,7] => [1,4,2,6,7,5,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,8,3,7,1,4,5] => [4,6,2,7,8,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,8,3,7,2,4,6] => [4,6,1,7,8,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,1,8,4,6,2,3,7] => [6,4,1,7,5,8,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,4,1,6,2,3,7] => [6,1,7,4,3,5,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,8,1,6,2,3,7] => [1,6,2,7,4,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,5,4,8,3,6,7] => [4,1,3,6,7,8,2,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,4,3,8,1,5,6,7] => [3,1,2,5,6,7,8,4] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,1,8,4,2,5,6,7] => [1,5,4,6,7,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,8,4,2,1,5,6,7] => [5,1,4,3,6,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,4,1,5,6,7] => [5,1,2,4,6,7,8,3] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,4,2,8,1,5,6,7] => [1,3,2,5,6,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,8,5,2,7,1,4,6] => [4,6,1,3,7,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,4,8,5,3,6,7] => [6,1,3,5,7,8,2,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,2,8,4,1,5,6,7] => [1,5,2,4,6,7,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,8,4,3,1,5,6,7] => [5,4,1,3,6,7,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,7,4,3,8,2,6,1] => [1,4,3,6,2,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,1,7,5,2,8,4,3] => [8,7,5,4,2,1,3,6] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[5,6,4,3,2,8,1,7] => [1,5,4,3,2,7,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,6,7,5,3,8,4,1] => [2,8,5,4,1,3,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,7,4,8,2,5,3,1] => [3,1,8,5,2,7,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,1,6,7,5,3,8,4] => [3,8,6,1,5,2,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,8,4,2,1,6,7,5] => [4,1,3,6,8,5,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,7,4,3,8,2,1,6] => [1,4,3,7,6,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,5,8,1,2,4,3] => [8,5,1,6,3,2,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,4,8,3,1,2,5] => [6,3,1,7,5,2,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,5,8,2,4,3,1] => [1,8,5,3,2,7,6,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,5,8,3,1,4,2] => [1,8,6,5,3,2,7,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,4,8,1,5,7,6,2] => [8,1,2,5,7,4,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,7,4,8,2,3,5,1] => [5,3,1,6,2,8,7,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,4,8,1,3,5,2] => [6,3,1,8,5,2,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,7,5,1,3,8,4] => [8,5,2,6,1,4,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,1,4,8,2,5,7] => [4,2,6,7,1,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,7,4,8,1,3,2,5] => [7,5,3,1,6,2,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,5,8,4,1,3,2] => [1,8,6,3,2,7,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,4,8,2,1,3,5] => [6,5,3,1,7,2,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,4,8,1,2,3,5] => [5,6,3,1,7,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,5,6,3,4,8,2,7] => [4,2,5,3,7,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,3,6,5,8,2,7] => [2,5,3,4,7,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,7,3,4,8,2,6] => [4,5,1,7,3,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,8,2,3,5,4,1] => [8,4,1,5,2,7,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,6,2,3,7,4,1] => [1,8,4,5,3,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,3,4,7,5,6,1] => [6,8,3,4,7,1,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,3,4,7,6,2,5] => [7,8,3,4,6,5,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,7,2,3,6,5,4,1] => [8,7,3,4,6,5,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,8,1,6,7,2,5,3] => [8,1,6,4,7,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,3,8,4,6,5,7] => [7,1,5,6,8,2,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[8,2,1,7,4,3,6,5] => [5,8,2,6,7,3,4,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,2,8,5,4,6,7] => [6,2,5,7,8,1,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[8,4,5,1,7,2,6,3] => [2,8,6,3,7,4,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,5,7,6,3,2,1] => [8,2,3,7,6,5,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[4,3,8,6,5,7,2,1] => [5,1,4,8,2,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,2,8,5,3,4,1] => [6,1,8,7,3,2,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,7,8,6,3,4,1] => [1,6,3,8,7,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,8,6,7,3,5,1] => [6,1,4,8,7,2,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,8,7,5,4,6,1] => [6,5,8,1,7,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,8,7,5,6,2,4] => [7,5,8,1,6,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,8,6,7,5,2,3] => [7,1,4,8,6,5,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,1,7,8,6,4,2,3] => [1,7,3,8,6,5,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,1,8,5,4,2,3] => [7,1,8,6,5,3,2,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,8,3,2,6,1,4,5] => [4,3,6,7,1,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,4,8,2,6,1,7,5] => [8,1,2,4,6,5,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,4,1,5,6,3,2] => [5,3,8,7,4,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,5,1,4,6,3,2] => [5,8,7,4,3,1,6,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,8,4,5,1,6,3,2] => [3,8,7,5,4,1,6,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,3,8,4,1,6,7,2] => [6,2,1,4,8,5,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,4,8,1,5,3,7] => [3,7,2,5,1,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,8,5,1,6,7,2] => [6,1,2,4,8,5,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,8,1,4,6,7,2] => [5,1,2,6,8,4,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,8,1,4,6,7,2] => [2,5,1,6,8,4,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,6,8,1,5,3,7] => [1,7,5,2,3,6,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,4,2,8,1,5,3,6] => [7,3,2,5,6,1,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,1,7,5,8,4,3,2] => [4,3,1,8,7,6,2,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,2,1,8,4,5,3,7] => [5,7,2,6,1,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,7,8,5,3,4,6] => [6,7,5,3,8,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,7,8,5,4,1,2] => [7,3,1,8,2,6,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,1,5,7,8,4,3,2] => [3,4,1,8,7,6,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,5,6,8,4,3,2] => [3,4,2,8,7,6,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,1,4,8,6,5,3,7] => [7,6,1,3,5,8,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,4,1,8,6,5,3,7] => [7,2,6,1,5,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,1,8,6,5,3,7] => [1,7,6,2,5,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,7,8,5,1,4,6] => [6,7,1,5,2,3,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,7,8,5,1,4,6] => [6,7,5,1,2,3,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,7,3,8,5,1,4,6] => [6,7,3,5,1,2,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,2,8,5,1,4,7] => [6,7,1,3,2,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,2,8,7,5,3,6] => [1,7,6,8,5,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,2,8,7,5,3,6] => [7,2,6,8,5,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,3,6,8,5,4,1,2] => [7,3,8,2,1,6,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,1,8,5,3,4,6] => [6,7,2,5,8,3,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,2,6,8,4,5,3,7] => [5,3,7,6,8,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,1,6,5,8,4,3,2] => [4,3,8,7,6,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,5,7,1,8,4,3,2] => [2,1,8,7,6,4,3,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,7,6,1,8,4,3,2] => [8,1,7,6,4,3,2,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,1,5,8,4,3,2] => [4,1,8,7,6,3,2,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,7,3,8,5,4,1,2] => [7,1,8,3,2,6,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,1,2,8,4,5,3,6] => [5,7,6,8,2,3,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,1,5,8,4,3,2] => [4,8,7,6,3,2,1,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,5,6,1,8,4,3,2] => [2,8,7,6,4,3,1,5] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,7,4,2,5,3,6] => [7,5,4,6,8,3,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,7,4,2,5,3,6,1] => [6,4,3,5,8,7,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,1,6,4,2,5,3,8] => [7,5,4,6,2,3,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,5,4,7,1,3,8] => [6,4,3,1,2,7,5,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,1,5,3,6,4,2,8] => [7,4,3,6,2,5,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,6,4,2,7,1,8] => [5,2,1,4,3,7,6,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,3,8,7,4,2,6] => [2,7,6,8,3,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,1,8,7,4,2] => [3,1,8,2,7,6,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,5,3,8,7,4,2] => [3,8,7,4,1,6,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,8,7,5,4,6,1,3] => [7,5,4,8,6,1,3,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,3,1,8,7,5,4,6] => [7,6,8,1,2,5,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,8,7,4,2,1,6] => [1,7,6,2,5,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,2,1,8,6,3,5] => [7,2,8,3,6,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,3,5,7,4,2,1] => [4,8,3,2,7,6,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,8,6,3,5,7,4,2] => [5,8,4,3,7,6,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,3,7,4,2,1,5] => [7,3,6,5,2,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,6,4,7,5,1,3] => [4,7,3,8,6,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,8,6,3,7,4,2] => [1,8,5,4,7,6,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,7,4,1,8,5,2] => [4,8,2,1,7,5,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,8,7,4,2,5,3] => [8,6,5,1,7,4,2,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,6,3,7,4,2,5,1] => [6,3,5,2,8,7,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,5,1,8,6,3,2,4] => [7,6,2,8,5,3,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,8,7,5,3,2,4] => [7,6,1,8,5,4,2,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,5,8,6,3,2,4,1] => [2,6,5,1,8,7,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,7,5,8,6,3,2,4] => [3,7,6,2,8,5,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,3,1,7,4,2,5] => [3,7,6,8,4,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,1,8,7,5,3,2,6] => [7,1,6,5,8,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,6,4,1,3,7,5] => [8,5,4,6,1,3,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,4,2,8,6,3,1,5] => [2,7,6,8,3,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,2,6,3,1,7,4] => [5,8,3,2,6,4,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,8,5,2,6,3,1] => [8,2,5,4,1,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,8,5,2,7,4,6,3] => [6,3,8,7,4,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,2,7,4,6,3,1] => [5,2,8,7,3,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,1,7,4,8,5,2] => [8,2,5,4,1,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,1,7,5,8,6,4] => [8,5,1,2,4,7,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,7,4,6,3,8,5,2] => [8,3,5,4,2,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,6,2,1,4,8,7] => [4,1,2,8,5,3,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,7,8,1,4,2,6] => [2,7,1,5,6,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,1,5,8,7,4,3,6] => [7,3,6,8,1,5,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,5,7,8,4,3,6] => [7,3,6,1,4,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,7,4,8,3,2,6] => [4,1,7,6,3,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,8,4,1,7,3,5] => [7,4,8,2,1,5,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,4,8,1,2,7,6] => [2,3,1,8,5,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,5,8,1,2,7,6] => [2,1,3,8,5,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,5,4,2,3,7,6] => [8,5,4,3,6,7,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,5,4,8,1,2,7,6] => [3,1,2,8,5,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,8,1,2,7,6] => [1,3,2,8,5,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,3,8,1,7,2,5] => [3,2,7,1,8,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,8,1,6,2,5] => [3,2,7,8,5,1,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,5,3,8,7,1,2,4] => [3,6,2,1,7,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,6,3,8,7,1,2,4] => [3,1,6,2,7,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,8,4,1,7,3,5] => [7,4,2,8,1,5,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,7,4,2,6,3,5] => [7,4,8,5,6,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,8,6,1,2,4] => [3,1,6,7,2,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,5,8,6,1,2,4] => [6,3,7,1,2,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,7,8,5,6,1,3,4] => [6,7,4,2,8,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,7,5,6,2,3,4] => [6,7,4,8,5,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,6,8,5,7,1,3,4] => [6,2,7,4,8,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,6,8,7,1,2,4] => [6,2,1,3,7,8,5,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,3,5,8,7,1,2,4] => [6,2,3,1,7,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,8,5,6,1,3,4] => [6,7,4,8,2,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,8,6,7,1,3,4] => [6,1,7,4,8,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,3,2,7,6,4,5] => [7,8,3,6,4,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,8,7,6,1,3,4] => [6,1,7,8,5,2,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,8,7,5,1,3,4] => [6,7,1,8,5,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,4,7,8,1,6,2,5] => [7,8,1,2,5,3,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,5,7,6,2,3,4] => [6,3,7,8,5,4,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,7,8,5,1,2,4] => [6,2,7,1,3,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,8,7,5,1,3,4] => [6,2,7,8,5,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,6,7,5,2,3,4] => [6,7,3,8,5,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,8,6,5,1,3,4] => [6,7,2,8,5,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,8,7,5,1,2,4] => [6,7,1,8,2,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,7,4,1,3,5,6] => [5,6,4,7,8,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,8,7,1,3,2,6] => [2,1,7,5,6,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,6,1,3,2,5,7] => [1,6,4,5,7,3,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,7,1,4,5,3,6] => [5,7,4,6,8,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,1,8,7,3,5,6] => [6,1,7,8,2,5,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,6,3,2,8,7,4] => [8,4,3,1,7,2,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,6,1,8,7,3,2,5] => [7,1,6,2,8,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,2,3,5,4,1,6] => [7,3,4,6,5,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,1,4,8,7,2,6] => [2,7,1,8,4,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,5,2,8,7,1,6] => [2,1,3,7,8,4,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,6,8,1,5,2,4] => [7,8,5,1,3,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,4,2,3,6,7,5] => [6,3,8,2,4,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,7,2,1,8,6,4,5] => [7,8,1,3,6,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,6,1,7,3,5,4] => [8,6,7,4,1,3,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,7,6,3,5,8,2,4] => [7,4,5,3,2,8,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,5,1,6,8,2,4] => [7,5,1,3,8,4,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,5,8,1,4,7,2] => [6,3,1,2,8,5,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,5,6,4,7,2,3] => [3,7,5,4,8,2,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,7,4,1,8,2,5] => [7,4,1,2,8,5,3,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,4,6,8,2,5,3] => [8,3,6,4,2,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,1,6,5,4,8,3] => [6,5,4,8,1,3,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,7,2,3,1,8,5] => [4,2,5,1,8,6,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,1,8,4,6,2,7] => [2,5,1,7,6,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,1,6,7,4,2,5] => [7,6,1,4,8,3,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,4,6,1,5,3,7] => [3,7,5,6,1,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,1,6,3,2,5,7] => [6,5,2,7,3,4,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,7,3,8,5,2,1,6] => [7,1,3,6,5,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,1,7,4,8,5,2,6] => [7,1,4,6,3,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,1,6,3,2,8,5] => [5,2,8,6,3,4,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,6,2,7,4,1,5] => [7,4,6,1,3,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,1,4,5,2,8,6] => [4,2,5,8,3,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,4,8,5,3,2,7] => [7,3,6,5,1,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,2,4,6,7,5,3] => [5,8,4,7,2,3,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,6,7,5,4,2] => [4,8,7,3,6,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,2,3,8,6,1,4] => [7,8,3,2,4,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,2,4,1,3,7,5] => [8,3,5,4,6,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,1,8,6,3,2] => [3,8,1,7,6,4,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,5,8,4,2,3,6,1] => [5,2,6,4,1,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,8,4,6,1,7,5,2] => [8,3,7,1,5,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,4,6,5,2,8,1] => [6,3,5,1,4,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,1,4,5,7,6,2] => [2,8,4,5,7,3,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,1,6,8,4,7,2] => [4,1,2,6,8,7,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,1,5,7,3,8,4,2] => [3,8,5,4,1,7,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,2,6,5,8,4,1,3] => [7,4,3,8,2,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,3,2,5,1,6,7,4] => [2,6,3,4,8,5,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,8,3,7,4,1,5] => [7,4,2,6,8,1,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,5,6,4,7,3,2] => [3,5,4,8,7,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,8,1,6,4,7,3] => [2,6,5,8,1,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,7,4,2,1,6,5] => [5,2,4,8,6,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,6,8,3,1,7,4] => [5,3,1,8,2,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,5,8,4,1,7,2] => [3,2,8,1,6,5,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,6,1,8,4,5,2] => [6,8,2,7,4,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,2,7,3,4,6,5,1] => [8,4,5,7,2,6,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,3,8,2,5,6,4,1] => [5,8,2,4,1,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,3,1,6,4,8,2] => [3,1,6,5,8,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,3,2,4,8,7,5] => [8,3,7,2,4,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,7,4,2,3,6,1,5] => [4,5,3,7,8,6,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,1,5,4,2,3,6] => [6,7,5,3,4,8,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,1,5,2,8,6,4] => [4,8,1,7,3,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,2,5,4,1,3,6] => [6,7,3,5,4,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,2,5,3,1,4,6] => [6,3,5,7,4,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,8,7,1,4,3,6] => [7,5,1,6,8,2,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,8,6,2,4,3,5] => [7,5,6,8,4,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,1,6,2,7,5,3,4] => [7,8,6,4,2,3,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,6,2,8,5,3,4] => [7,8,6,4,2,3,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,2,4,3,5,1,8,6] => [4,2,3,5,8,6,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,1,7,2,3,8,6,4] => [8,7,4,1,5,2,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,2,3,5,1,7,6,4] => [4,8,2,3,7,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,3,1,4,8,2,5] => [5,3,7,8,4,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,8,2,7,5,3,4] => [7,8,6,4,1,5,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,2,8,1,6,5,3,4] => [7,8,6,2,4,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,1,7,4,3,8,2,6] => [5,4,1,7,3,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,4,8,2,1,5,3,6] => [4,2,7,5,6,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,5,1,6,4,3] => [8,7,5,2,4,6,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,1,7,3,2,8,5,4] => [8,4,7,5,2,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,7,2,1,6,3,8,5] => [1,8,3,6,4,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,1,5,3,8,4,7] => [7,2,4,8,3,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,3,1,6,2,8,4,7] => [2,7,4,1,8,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,5,2,8,4,3,7] => [7,6,3,8,2,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,4,3,8,1,5,2,6] => [3,2,7,5,6,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,8,1,5,3,2,6] => [2,7,6,4,5,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,5,3,2,8,4,7] => [4,7,3,8,2,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,2,8,4,1,5,7] => [2,6,3,5,1,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,1,3,7,4,2,6] => [7,4,6,2,8,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,3,7,5,2,4] => [7,8,4,6,3,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,1,3,8,5,2,4] => [7,8,4,1,6,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,7,1,5,2,8,4] => [8,6,1,4,2,5,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,3,8,4,2,6,5] => [5,8,3,6,7,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,6,2,8,1,3,7,4] => [8,3,1,5,2,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,1,8,3,7,5,2,4] => [7,8,4,1,6,5,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,2,1,5,8,3,6] => [3,5,2,7,8,4,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,1,5,8,3,2,6] => [4,2,7,6,8,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,7,3,8,1,5] => [5,2,7,3,1,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,8,3,7,4,2,6] => [7,4,1,6,8,5,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,8,3,1,5,2,6] => [2,7,5,4,6,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,1,7,4,8,3,6] => [5,7,2,1,4,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,8,4,5,2,7,3] => [4,8,6,5,1,7,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,5,2,7,1,6,8,4] => [6,1,2,8,3,5,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,1,7,2,6,8,4] => [6,1,2,8,5,3,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,5,7,2,8,1,3,6] => [1,4,2,6,7,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,6,7,1,3,8,5,2] => [8,1,5,2,7,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,1,5,7,8,4,2] => [4,5,1,2,8,7,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,7,1,5,8,3,2] => [5,1,2,8,7,4,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,3,7,4,8,5,2] => [8,5,3,4,1,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,5,2,7,6,3,8] => [3,1,7,6,2,4,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,5,1,4,3,8,6,7] => [4,7,1,2,8,3,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,7,2,1,5,8,6,4] => [8,1,3,5,7,4,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,2,7,1,4,8,5,3] => [8,5,7,2,1,4,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,4,2,1,8,5,6] => [4,1,3,7,8,5,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,2,5,3,1,8,6,4] => [8,4,2,3,7,5,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,5,1,4,2,8,6,3] => [4,8,7,3,2,5,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,3,2,1,7,6,4,8] => [2,7,3,1,6,4,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,4,3,2,8,1,6,5] => [3,2,8,4,6,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,6,4,8,1,5,2] => [4,8,2,6,3,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,5,3,8,1,4,6] => [4,6,3,7,1,2,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,8,5,3,6,4,2,7] => [7,4,3,6,5,8,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,2,3,7,5,4,1] => [8,7,3,4,2,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,3,2,7,5,4,1] => [8,3,7,4,2,6,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,6,1,5,4,3,8] => [7,6,2,4,5,3,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,5,7,4,3,6,2,1] => [2,5,4,8,7,6,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,5,7,2,4,6,3,1] => [5,2,8,4,7,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,4,6,7,1,3,2,5] => [2,7,5,6,3,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,5,6,1,4,3,7] => [7,5,3,6,1,4,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,2,6,8,4,1,5,3] => [8,6,5,2,3,1,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,4,8,3,2,5,1] => [3,6,5,2,1,8,7,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,5,8,1,4,2,7,3] => [8,6,4,2,1,5,7,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,5,8,4,1,3,7,2] => [6,2,1,8,5,4,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,4,8,3,2,1,7,6] => [2,1,5,4,8,6,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,8,1,4,3,7,6] => [5,2,8,1,4,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,6,8,2,1,5,7,4] => [4,6,1,2,8,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,4,8,1,3,6,2] => [1,6,3,8,5,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,1,4,8,2,6,3] => [4,1,8,6,7,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,1,8,4,2,7,6] => [5,1,2,8,6,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,5,7,3,6,2,8] => [3,1,5,7,6,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,2,5,8,3,1,7,6] => [3,1,5,8,2,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,1,2,7,8,3,5,4] => [8,6,4,7,2,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,8,1,4,7,5,2,3] => [4,7,1,8,6,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,8,1,6,4,2,5] => [7,2,6,8,4,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,1,5,3,2,6] => [7,1,6,4,5,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,6,2,5,3,4] => [7,8,5,6,4,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,8,7,1,3,6,4,2] => [1,8,5,7,4,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,7,1,6,3,5,4] => [8,6,7,4,5,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,6,1,5,4,2,8] => [7,6,1,4,5,3,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,7,6,1,3,5,2] => [6,8,1,5,7,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,8,7,2,6,1,4,3] => [1,8,4,6,7,5,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,1,7,5,2,4,3] => [8,6,1,7,5,3,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,8,6,4,3,2,1,7] => [7,1,6,5,4,3,8,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,3,6,4,2,1,5] => [7,3,6,5,8,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,1,4,2,5,3,7,8] => [6,4,2,3,5,1,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,7,5,4,2,8,6] => [5,4,8,2,6,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,5,4,2,7,8] => [6,3,5,2,4,1,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,6,3,4,7,8,2] => [4,5,3,1,6,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,6,3,4,7,1,8] => [4,5,2,1,3,7,6,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,4,7,5,8,6,1,2] => [4,7,1,2,3,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,3,6,7,4,8,1,5] => [5,3,7,1,2,4,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,3,6,7,4,8,5,2] => [3,8,5,2,4,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,7,6,5,3,1,8,4] => [5,8,6,4,1,3,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,2,6,1,4,7,8,3] => [5,6,2,1,3,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,7,6,5,2,1,8,3] => [5,8,1,6,4,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,3,6,2,4,1,7,8] => [2,4,1,6,5,3,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,7,4,2,1,3,6,8] => [5,4,1,6,3,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,6,1,4,2,7,8] => [2,6,4,1,5,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,4,2,6,3,8,5] => [3,8,6,4,5,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,7,4,1,2,3,6,8] => [4,5,1,6,3,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,1,2,5,3,7,8] => [6,3,4,2,5,1,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,7,6,3,8,5,1,2] => [4,7,1,3,2,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,6,5,2,8,1,4] => [5,7,4,1,3,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,5,1,2,8,4] => [8,5,6,1,4,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,2,6,1,3,8,5] => [1,8,3,5,6,4,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,1,6,8,3,5,4] => [8,6,4,7,1,3,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,7,6,5,8,1,4,3] => [8,6,4,3,1,2,7,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,2,8,7,6,4,3,1] => [8,1,7,6,5,2,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,2,7,6,1,5,4,3] => [8,7,5,6,2,4,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,1,7,6,5,3,2] => [8,2,7,6,5,3,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,5,6,2,3,8,1,7] => [1,4,2,5,3,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,3,2,7,8,1,6] => [1,3,2,7,4,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,5,7,3,8,4,2,1] => [2,1,8,4,3,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,7,2,4,3,5,1] => [6,4,1,5,8,7,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,1,5,2,4,3,7] => [7,5,6,3,1,4,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,3,4,7,5,8,1,6] => [5,7,1,2,3,4,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,3,4,7,8,2,5,1] => [6,2,3,1,4,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,4,8,6,1,2] => [4,1,7,2,3,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,6,4,1,7,2,5] => [7,2,4,8,5,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,8,5,4,1,2,6] => [6,7,5,1,4,2,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,3,1,7,8,2,6] => [3,2,1,7,5,8,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,7,5,8,3,4,2] => [6,4,3,1,8,7,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,6,4,1,3,8,2] => [6,2,8,5,4,3,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[4,1,3,7,6,5,8,2] => [1,6,5,3,4,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,7,4,3,1,6,2] => [2,8,6,5,4,7,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,2,4,1,3,7,6,5] => [3,8,2,7,4,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,8,3,6,2,1,4,5] => [3,6,5,7,1,8,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,7,2,3,5,6,4] => [6,8,4,5,7,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,3,1,6,7,5,4] => [5,8,3,7,1,4,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,4,1,2,7,6,5] => [3,8,1,7,4,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,7,2,3,6,8,1] => [4,2,1,5,6,3,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,3,2,1,8,4,7,5] => [2,8,3,6,1,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,1,3,2,7,8,5] => [4,6,2,8,3,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,2,5,6,7,1,3,4] => [6,3,7,2,4,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,8,5,4,7,6,1,3] => [4,3,7,8,6,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,1,5,8,2,4,3] => [8,6,4,1,7,3,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,8,1,5,3,2,6,4] => [5,8,6,3,4,1,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,7,3,8,2,1,4] => [4,2,1,7,6,3,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,2,6,8,3,1,5,7] => [1,6,5,2,3,7,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,6,5,8,1,4,7] => [6,4,1,2,3,7,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,2,3,8,6,1,5,7] => [6,1,7,2,3,5,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,4,1,2,8,3,5,7] => [6,7,2,8,3,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,3,7,4,6,8,5] => [6,8,5,1,2,3,4,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,2,7,1,4,5,8,6] => [1,8,2,4,5,6,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,8,3,2,4,1,6,7] => [4,3,1,6,5,7,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,2,7,1,8,3,5,6] => [6,1,7,8,2,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,8,2,7,3,5,6] => [6,1,7,8,4,5,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,3,7,6,8,4,5] => [7,5,4,8,1,2,3,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,7,8,4,6,5] => [8,6,4,7,1,2,3,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,3,6,8,4,7,5] => [4,8,6,7,1,2,3,5] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,7,8,6,4,5] => [7,4,8,6,1,2,3,5] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,2,8,3,7,5,1,4] => [7,8,4,1,6,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,4,8,6,5,1,2] => [7,8,2,3,1,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,3,8,5,7,2,1] => [5,1,2,8,3,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,5,3,8,6,2,4,1] => [6,2,8,3,1,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,6,8,3,7,4,5,1] => [6,2,8,4,7,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,7,8,4,5,2,1] => [2,5,3,8,1,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,8,5,4,7,3,1] => [2,5,4,8,7,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,5,6,4,7,3,2] => [3,5,4,8,7,6,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,5,8,6,4,7,3,1] => [5,2,4,8,7,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,6,5,8,3,2,1] => [4,2,3,1,8,7,6,5] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,3,7,8,4,5,2,1] => [5,3,1,8,2,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,3,7,8,5,6,2,1] => [5,1,3,8,2,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,8,6,4,7,3,1] => [1,5,4,8,7,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,8,6,5,7,3,1] => [5,1,4,8,7,2,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,2,8,6,7,4,5,1] => [6,4,8,1,7,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,8,7,5,4,6,1] => [6,5,8,7,1,2,4,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,8,4,5,7,3,1] => [4,5,1,8,7,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,8,4,6,7,3,1] => [4,1,5,8,7,2,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,7,8,4,5,6,3,1] => [4,5,2,8,7,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,5,8,4,6,2,1] => [3,5,2,8,1,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,5,8,4,7,2,1] => [3,2,5,8,1,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,8,4,5,7,3,1] => [4,2,5,8,7,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,2,7,1,3,8,5,6] => [7,1,8,2,4,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,5,1,3,8,6,7] => [7,2,1,3,8,4,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,3,6,1,7,2,4,8] => [2,6,1,7,4,3,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,7,1,2,5,8,6,4] => [8,1,5,7,3,4,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,4,1,2,8,5,6] => [7,1,3,8,4,5,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,5,1,3,4,8,6,2] => [8,4,5,2,7,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,3,7,1,5,8] => [3,4,2,6,1,7,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,2,3,8,1,6,5] => [8,3,2,4,6,1,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,6,1,2,7,4,5,3] => [6,8,7,3,4,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,7,1,2,3,6,5] => [8,4,2,5,6,7,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,5,7,1,2,4,6,3] => [6,8,4,2,5,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,7,1,3,4,6,2] => [5,6,2,8,4,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,5,6,1,2,4,7] => [5,6,1,3,7,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,5,8,1,2,4,6] => [5,6,1,3,7,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,4,8,1,3,5,2] => [6,3,8,5,2,1,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,8,1,2,4,7,3] => [6,8,4,2,1,5,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,6,8,1,2,5,7,4] => [6,8,1,4,2,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,2,4,8,1,6,5] => [8,1,3,4,6,2,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,6,3,8,1,2,5,7] => [1,5,3,6,2,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,3,7,1,2,5,8] => [1,5,3,6,2,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,8,2,3,6,5] => [1,8,5,6,3,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,2,8,6,3,4,7] => [6,7,5,1,8,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,8,1,6,2,4,7] => [2,6,1,7,4,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,1,3,7,4,5,2] => [6,8,4,1,7,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,2,7,1,4,5,3] => [6,8,3,1,5,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,7,1,2,4,6,5] => [8,1,4,5,6,7,3,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,8,7,1,2,3,6,5] => [1,8,4,5,6,7,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,7,1,2,4,6,3] => [6,1,8,4,5,7,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,7,1,3,4,6,2] => [5,1,6,8,4,7,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,1,8,6,2,3,5,4] => [8,5,6,7,4,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,8,6,4,1,2,3,7] => [5,1,6,7,4,3,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,4,8,2,7,5,3,6] => [7,2,6,8,4,5,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,2,1,6,3,5,4] => [8,3,6,7,4,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,2,7,5,4,3,8] => [7,6,5,2,3,1,4,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,2,8,7,5,4,3,6] => [7,6,5,8,4,1,2,3] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,7,3,6,4,8,2] => [6,4,1,5,3,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,1,5,7,4,3,8] => [4,7,2,6,3,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,2,3,7,4,1,5,8] => [6,2,3,5,1,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,8,7,4,1,5,6] => [6,5,7,8,1,2,4,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,3,8,6,4,1,5] => [7,6,8,3,1,2,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,3,7,6,4,5,2] => [6,8,7,3,5,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,6,7,5,2,1,8,3] => [5,1,2,8,6,4,3,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,3,1,4,5,7,8,2] => [4,2,5,6,1,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,1,4,6,2,7,8] => [4,2,6,3,1,5,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,2,4,7,6,8,3] => [6,4,5,1,8,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,4,1,2,6,3,8] => [7,4,1,5,3,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,8,1,2,6,7,3,5] => [1,7,5,8,3,4,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,2,8,7,6,5,3,4] => [7,8,6,5,4,1,2,3] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[3,1,2,4,6,8,7,5] => [1,8,5,7,2,3,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,8,4,5,7,6,2] => [8,1,4,5,7,6,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,2,8,5,4,7,1,6] => [5,1,4,7,8,2,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,8,1,5,3,7,6] => [5,1,8,2,4,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,2,1,6,3,7,5] => [1,8,3,6,4,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,6,5,2,7,1,4] => [5,7,4,1,3,8,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,5,6,1,7,4,2] => [3,8,7,1,5,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,5,7,8,1,2,6,4] => [2,8,1,5,6,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,5,2,1,6,4] => [5,8,6,1,4,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,2,8,4,1,6,5] => [5,8,1,3,6,2,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,1,7,4,6,5,3] => [8,5,7,6,1,3,4,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,7,5,1,6,4,3] => [8,7,5,4,6,1,3,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,8,6,7,5,1,4,3] => [8,6,3,7,5,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,3,4,8,7,5,2,6] => [7,6,8,2,3,5,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,4,1,7,3,5,6] => [6,2,3,7,8,4,5,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,6,1,4,2,3,7,5] => [8,5,3,4,6,2,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,1,4,2,8,7,5] => [8,1,4,7,3,2,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,8,4,3,7,2,5] => [5,4,2,7,8,6,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,1,4,7,8,5,2,6] => [7,1,6,3,4,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,7,4,3,8,2,5] => [5,4,7,3,1,8,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,7,4,3,6,2,5] => [5,4,7,8,6,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,4,1,3,8,2,6,5] => [8,4,2,6,7,3,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,2,3,1,5,7,6] => [3,1,4,8,5,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,7,8,4,2,3,6,5] => [8,5,4,6,2,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,8,6,4,5,2,1,7] => [4,7,6,1,5,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,1,3,7,2,8,5] => [8,4,2,6,3,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,1,4,3,6,2,7,5] => [3,8,4,6,2,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,3,8,5,7,1,6] => [5,1,7,8,2,3,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,5,7,3,4,1,6] => [5,3,7,6,8,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,6,4,3,1,7] => [1,7,6,3,5,4,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,5,8,4,3,1,6] => [3,7,6,2,5,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,3,5,4,7,1,6] => [5,2,3,4,7,8,6,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[2,4,3,5,7,8,1,6] => [2,7,1,3,4,5,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,8,6,5,4,2,1,7] => [7,6,5,1,4,3,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,1,4,2,8,7,5] => [2,8,4,7,3,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,1,4,5,3,2,6,8] => [3,6,5,2,4,7,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,4,2,6,5,3,7] => [3,7,6,4,5,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,4,8,6,3,2,7] => [7,3,1,6,5,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,1,8,4,7,2,6] => [2,5,1,7,8,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,8,1,5,7,2,6] => [2,1,5,7,8,4,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,1,4,2,6,5,3,8] => [3,7,6,2,4,5,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,8,4,1,6,5,2,7] => [3,7,1,6,4,5,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,3,6,4,8,2,1] => [5,3,2,4,1,8,7,6] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,6,4,5,8,2,1] => [4,5,2,3,1,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,1,5,4,8,6,3,2] => [3,8,4,7,6,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,5,4,8,6,3,1] => [3,8,4,2,7,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,8,7,5,3,6,4] => [8,6,5,7,1,4,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,3,7,4,1,6,2] => [1,8,3,6,5,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,7,4,2,6,5,3] => [4,8,7,5,6,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,3,1,8,4,7,2] => [3,1,6,2,8,7,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,4,8,6,3,2] => [1,8,4,7,6,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,5,7,4,8,6,2,1] => [8,2,4,1,3,7,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,7,4,5,8,3,1] => [4,2,5,3,8,1,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,7,4,5,8,3,2] => [4,5,3,1,8,7,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,3,7,4,8,6,2,1] => [1,8,4,2,3,7,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,3,6,8,2,7,1] => [3,2,1,4,6,8,7,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,5,3,7,4,8,2,1] => [5,3,2,1,4,8,7,6] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,5,8,4,1,6,3,2] => [2,8,7,5,4,1,6,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[2,7,8,4,5,1,6,3] => [4,8,6,5,1,2,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,7,3,8,4,1,6,2] => [1,8,3,6,5,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,3,8,1,4,7,2] => [3,1,6,2,8,5,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,2,5,6,7,3] => [5,6,2,8,3,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,8,4,1,6,5,2] => [4,8,7,1,5,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,3,1,2,5,7,4] => [6,3,8,4,1,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,1,7,2,6,4,3] => [8,7,5,2,6,3,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,7,1,4,5,2,6,3] => [4,8,6,3,5,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,6,3,1,5,2,8,4] => [3,8,6,4,5,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,1,8,2,6,3,4] => [7,8,5,2,6,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,3,1,5,4,2,6] => [3,7,6,4,5,8,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,2,6,1,3,8,7] => [8,3,2,1,5,4,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[3,2,6,5,1,4,8,7] => [8,1,5,2,4,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,8,1,7,4,3,6] => [2,7,6,8,1,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,2,7,4,3,1,5] => [7,6,3,1,5,8,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,8,2,3,7,5,1,4] => [7,8,3,1,4,6,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,6,5,1,8,4,3,7] => [7,6,3,1,2,8,4,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,2,7,3,1,8,5,6] => [4,1,7,8,2,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,3,7,1,5,8,6] => [8,2,1,3,5,6,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,2,7,3,8,6,1,4] => [7,1,8,4,2,3,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,4,8,1,5,7,6] => [1,8,2,3,5,6,7,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,1,3,7,2,6,8,5] => [6,1,8,3,5,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,8,3,7,2,1,5,4] => [3,5,1,8,6,7,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,5,8,1,7,2,6,4] => [2,8,1,6,7,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,4,8,1,5,3,2] => [3,8,7,5,2,1,6,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,3,7,1,8,2,6,4] => [8,2,1,6,7,4,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,4,8,7,2,6,1,3] => [2,1,5,7,8,6,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,8,5,4,2,1,7,6] => [5,4,1,3,8,6,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,8,6,5,2,7,1,3] => [5,7,1,4,3,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,6,5,4,3,1,7] => [7,6,5,4,1,3,8,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,4,2,6,3,1,8,7] => [5,3,2,1,4,8,6,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,5,2,1,3,4,8,7] => [3,8,4,5,2,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,2,7,3,1,4,6] => [6,3,5,2,7,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,6,5,2,8,4,1] => [8,5,2,4,3,1,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,6,2,3,4,8,5,1] => [8,3,4,5,2,1,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,5,3,1,4,2,6] => [7,5,4,6,3,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,1,5,3,8,4,6,2] => [6,3,8,4,7,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,7,2,3,5,8,4,1] => [5,8,3,1,4,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,4,2,8,5,1] => [4,8,5,1,3,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,1,7,6,4,8,5,3] => [8,5,4,1,3,7,2,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,1,8,7,4,3,5,6] => [6,5,7,8,1,4,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,8,3,7,2,1,4,6] => [3,1,6,5,7,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,7,4,2,1,5,6] => [6,5,1,4,7,8,3,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,6,3,2,4,5,7] => [5,4,6,7,2,3,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,7,1,4,8,3,6,2] => [4,1,6,8,7,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,7,5,4,8,3,2] => [5,4,3,1,8,7,2,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,3,7,5,8,4,2,1] => [4,3,1,8,2,7,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,1,5,8,3,4,2] => [6,4,8,7,3,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,6,7,5,1,3,2,4] => [7,5,6,2,8,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,2,6,1,7,3,4] => [7,8,3,2,5,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,2,6,8,3,7,1] => [4,2,1,6,8,3,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,2,8,1,4,3,7] => [7,3,5,2,1,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,2,8,1,3,6,5] => [8,3,2,5,6,1,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,7,8,4,5,1,3,6] => [6,4,7,5,1,2,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,7,3,8,4,1,2,6] => [3,1,6,7,5,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,8,4,1,2,7,5] => [8,5,1,4,2,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,1,2,5,3,6,7] => [6,3,1,4,5,7,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,1,2,4,3,5,6,7] => [5,2,3,4,6,7,8,1] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[5,8,7,4,6,3,2,1] => [4,8,1,7,6,5,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,8,7,6,3,5,2,1] => [5,8,7,1,6,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,8,7,6,5,2,4,1] => [6,8,7,5,1,4,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,8,4,7,6,3,2,1] => [8,1,3,7,6,5,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,5,4,7,3,2,1] => [1,4,3,8,7,6,5,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[3,8,7,6,2,5,4,1] => [8,5,7,6,1,4,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,7,6,3,2,5,1] => [6,5,8,1,7,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,6,5,2,1,4] => [7,6,8,5,1,4,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,6,8,2,5,1,4,3] => [8,4,6,2,1,7,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,5,2,4,7,6,1,8] => [7,1,3,2,4,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,4,7,2,6,1,8] => [3,1,2,5,7,6,4,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,4,7,6,1,8,2] => [2,8,1,3,6,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,7,4,6,1,2,8] => [2,6,1,4,7,5,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,2,7,6,4,1,8] => [2,7,1,6,3,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,7,2,6,4,1,8] => [2,7,1,4,6,5,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,3,7,6,2,4,1,8] => [5,1,7,2,6,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,7,6,1,2,8,4] => [8,2,1,5,6,4,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,7,6,1,4,2,8] => [7,2,1,5,6,4,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,7,2,6,1,4,8] => [4,1,2,6,7,5,3,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,2,7,6,1,4,8] => [6,1,2,7,3,5,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,7,6,4,1,8,2] => [1,8,6,2,5,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,5,4,1,8,2,6] => [7,4,1,3,8,5,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,7,5,4,1,8,6,2] => [4,3,8,1,7,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,5,1,4,8,6,2] => [8,5,1,3,7,4,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,7,5,1,4,8,2,6] => [5,7,1,3,8,4,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,7,1,2,6,8,4] => [6,1,2,8,4,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,7,2,1,6,8,4] => [4,1,2,6,8,5,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,2,7,1,6,4,8] => [7,1,3,2,5,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,7,2,1,6,4,8] => [4,1,2,7,5,6,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,7,1,6,2,4,8] => [2,6,1,7,4,5,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,7,1,4,6,8,2] => [5,1,2,6,8,4,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,7,4,2,1,6,8] => [2,6,1,5,4,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,7,4,1,2,6,8] => [5,1,2,6,4,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,4,7,1,6,8,2] => [3,1,2,6,8,5,4,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,4,7,1,2,6,8] => [5,1,3,2,6,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,5,4,7,1,6,8] => [1,4,2,3,6,7,5,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,5,4,7,2,1,8,6] => [3,1,2,5,8,6,4,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,5,4,7,1,2,8,6] => [3,1,2,8,5,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,6,3,1,8,2,4] => [1,7,4,8,5,3,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,5,2,7,1,4,8,6] => [8,1,3,2,5,6,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,7,2,1,4,8,6] => [4,1,2,8,5,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,7,1,4,2,8,6] => [5,1,2,8,4,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,5,2,1,8,6,4] => [8,4,1,3,7,5,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,7,2,5,1,8,6,4] => [4,8,1,3,7,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,2,7,5,1,8,6,4] => [4,8,1,7,2,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,7,5,1,8,4,6] => [7,1,4,8,2,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,2,5,1,8,4,6] => [7,1,3,4,8,5,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,7,5,2,1,8,4,6] => [4,7,1,3,8,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,1,2,5,7,4,8,3] => [4,6,5,8,2,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,1,7,5,8,4,6,3] => [4,6,3,8,1,7,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,3,6,8,4,1,5] => [7,6,3,4,1,2,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,1,8,3,4,7,5,6] => [7,8,1,4,5,6,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,8,3,4,1,7,6,2] => [3,1,4,8,7,5,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,7,2,4,1,6,3] => [1,8,4,6,5,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,4,1,7,5,2] => [4,8,7,1,5,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,5,6,8,1,7,2] => [2,1,3,4,8,6,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,6,4,1,8,5,2] => [4,8,7,1,5,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,7,4,1,8,6,5,2] => [8,3,7,1,6,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,4,1,7,6,5,2] => [8,3,7,1,6,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,7,6,1,5,4] => [8,6,7,1,5,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,8,2,4,1,6,3] => [1,8,4,6,5,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,2,5,8,1,7,3,6] => [3,1,7,8,2,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,6,8,1,5,4,7] => [7,1,5,2,3,6,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,2,5,6,1,4,7] => [2,6,3,4,7,5,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,8,6,7,1,5,4] => [8,6,1,4,7,2,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,2,6,8,7,1,5,4] => [3,8,1,6,7,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,6,7,1,5,4,8] => [7,1,5,2,3,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,7,3,2,5,6,1,4] => [3,7,4,5,8,6,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,2,8,1,5,3,6,4] => [8,6,2,4,5,1,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,2,8,5,1,3,6] => [6,2,7,3,5,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,5,7,1,4,6] => [6,1,4,7,8,2,5,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,5,7,1,8,3,4] => [7,3,2,8,1,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,5,1,8,7,4,3,6] => [2,7,6,8,1,5,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,5,4,1,6,2,7] => [7,2,5,4,3,6,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,3,4,1,5,2,7] => [3,7,5,4,6,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,7,6,8,2,3,1] => [1,6,2,4,3,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,8,2,3,7,6,5] => [1,8,7,4,5,6,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,8,5,3,4,7,6] => [8,5,1,4,6,7,2,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,2,4,6,8,7,3,1] => [8,3,1,4,7,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,6,8,3,4,5,7,2] => [4,5,2,6,8,7,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,2,6,7,8,1,3] => [4,2,1,7,3,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,2,7,3,5,8,1] => [5,2,6,3,1,4,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,4,1,8,3,5,6,2] => [5,2,6,8,7,3,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,5,4,8,7,3,1,2] => [3,2,1,7,8,6,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,2,3,1,7,5,4] => [8,3,4,1,7,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,2,6,8,5,1] => [3,2,5,8,4,1,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,7,3,2,6,1,5] => [2,5,4,7,8,6,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,3,1,6,7,4,2,5] => [7,2,6,4,8,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,6,3,5,8,2,4] => [7,4,5,3,8,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,5,6,7,1,4,3] => [3,8,6,4,7,1,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,8,5,1,4,7,3] => [6,2,8,5,1,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,4,2,8,6,5,7,3] => [6,2,5,8,7,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,5,1,6,8,7,2,4] => [4,1,2,7,8,6,3,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,7,6,2,1,3,8,4] => [4,1,8,5,6,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,8,7,4,1,6,3] => [8,2,6,5,7,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,5,2,6,8,3] => [1,6,4,8,5,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,6,2,4,5,1,8,3] => [4,8,3,6,5,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,7,4,2,5,1,6,3] => [8,4,3,6,5,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,1,4,5,2,6,7,3] => [3,6,4,8,2,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,4,8,6,7,1,3] => [7,3,1,5,8,2,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,5,6,2,1,3,7,4] => [4,8,5,2,6,3,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,1,5,6,7,8,3] => [2,4,1,5,6,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,4,6,5,1,7,8,2] => [6,1,2,4,3,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,7,2,4,6,1,8] => [2,4,1,5,7,6,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,5,2,4,6,1,8] => [4,5,1,3,7,6,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,3,2,4,6,1,8] => [4,3,1,5,7,6,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,5,3,2,7,4,6,8] => [3,6,2,7,1,4,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,7,3,2,1,4,6,8] => [5,4,3,1,6,7,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,3,2,4,1,6,8] => [4,3,1,6,5,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,2,5,4,1,6,8] => [6,1,3,5,4,7,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,3,2,4,7,6,8] => [3,7,2,4,1,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,1,3,2,5,4,6,8] => [3,6,2,4,5,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,3,7,2,4,6,8] => [3,5,2,6,7,1,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,3,2,4,7,1,6,8] => [3,2,4,1,6,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,1,4,7,6,8] => [3,2,7,4,1,5,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,2,1,7,4,6,8] => [3,2,6,1,7,4,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,7,5,4,6,8] => [6,2,5,7,1,3,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,3,1,2,5,4,6,8] => [6,3,2,4,5,7,1,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,3,1,2,7,4,6,8] => [6,2,7,3,1,4,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,1,2,4,7,6,8] => [7,3,2,4,1,5,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,2,5,1,4,7,6,8] => [1,7,2,4,3,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,3,1,5,2,4,6,8] => [5,2,6,3,4,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,7,5,2,4,6,8] => [5,6,2,4,7,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,5,1,3,2,4,6,8] => [5,3,4,6,2,7,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,1,3,2,4,6,8] => [5,3,4,1,6,7,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,1,2,5,4,6,8] => [1,6,3,4,5,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,1,7,5,4,6,8] => [1,6,2,5,7,3,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,1,2,7,5,4,6,8] => [1,6,5,7,2,3,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,7,2,5,4,6,8] => [1,6,4,5,7,2,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,1,5,3,2,4,6,8] => [5,4,6,2,3,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,5,3,2,4,6,8] => [5,4,6,3,7,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,7,4,2,6,5,3] => [4,8,7,5,6,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,8,5,1,7,6,4,3] => [3,8,7,6,1,4,5,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,8,5,1,2,7,4,3] => [8,7,4,1,5,3,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,8,1,4,7,6,5,3] => [8,7,4,6,1,3,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,7,4,3,2,6,5] => [5,4,8,6,7,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,5,4,2,7,6,3] => [4,3,8,7,5,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,4,2,8,1,6] => [3,5,4,2,7,1,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,6,2,4,7,1] => [3,5,2,6,4,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,6,3,7,4,2,1] => [2,8,4,3,7,6,5,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,6,2,7,4,3,1] => [2,8,7,4,3,6,5,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,6,3,4,1,5,2] => [4,8,6,5,7,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,7,2,3,6,8,5,4] => [5,8,7,3,4,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,6,4,8,2,7,1] => [2,4,1,3,6,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,1,4,8,2,7,6] => [8,1,4,2,6,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,5,4,8,2,6,3] => [4,3,8,6,2,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,5,4,8,1,3,6] => [6,4,3,7,1,2,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,7,5,4,8,6,1,3] => [4,3,7,2,8,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,5,4,8,6,3,2] => [3,8,4,2,7,6,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,1,4,8,7,3,6] => [7,2,8,1,4,6,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,4,2,8,7,1,5] => [3,7,1,2,8,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,6,4,8,1,2,7] => [2,6,1,4,3,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,6,4,8,7,2,3] => [2,4,3,7,8,6,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,4,1,8,7,2,5] => [3,7,1,2,8,6,4,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,4,5,8,7,2,1] => [8,3,1,2,4,7,6,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,6,4,3,8,5,2,7] => [3,7,4,2,6,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,1,4,5,3,8,2] => [4,6,5,8,3,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,1,3,5,4,8,2] => [6,4,5,8,3,2,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,4,2,8,5,3,7] => [3,7,6,2,8,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,6,5,8,2,4,3,1] => [8,5,3,2,1,7,6,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,6,5,8,3,1,4,2] => [8,6,5,3,2,1,7,4] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[2,6,4,3,8,1,7,5] => [3,8,4,1,2,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,4,3,8,5,7,1] => [3,6,2,8,1,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,5,6,3,8,4,2] => [3,8,5,4,7,2,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,3,6,5,1,4,8,2] => [6,8,2,5,4,3,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,2,3,1,4,8,6,5] => [8,2,3,7,4,5,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,4,5,8,1,7,3] => [3,4,2,8,1,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,6,4,8,3,7,2] => [2,4,3,6,8,7,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,5,6,4,8,3,1,7] => [2,4,3,7,1,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,1,4,7,8,2] => [5,1,2,6,3,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,1,5,3,4,8,2] => [5,6,4,8,3,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,1,5,4,3,8,2] => [6,5,4,8,3,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,6,4,5,8,3,2,7] => [3,4,2,7,6,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,5,8,1,3,2,4] => [7,5,6,3,2,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,5,6,8,2,1,7,4] => [2,5,1,3,8,6,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,1,5,3,7,8,6] => [2,4,1,6,8,3,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,2,5,6,3,1,8,7] => [3,1,5,2,4,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,6,8,1,7,2,4] => [2,7,1,3,8,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,3,1,7,2,8,6] => [1,3,2,8,6,4,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,3,5,2,7,8,6] => [3,4,1,6,8,2,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,4,7,3,8,6,1] => [2,8,3,5,1,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,7,1,8,4,2,6] => [2,7,1,6,8,4,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,5,3,2,7,8,6] => [4,3,1,6,8,2,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,5,3,7,1,2,8,6] => [1,3,2,8,5,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,3,2,4,6,7,8] => [4,2,3,5,1,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,1,3,4,2,6,7,8] => [3,5,2,4,1,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,3,1,4,2,6,7,8] => [5,3,2,4,1,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,5,2,3,7,1,8,6] => [1,8,3,2,4,6,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,1,3,7,5,8] => [7,2,1,4,5,3,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,6,2,1,3,7,5,8] => [3,1,7,4,5,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,2,1,7,4,8,5] => [8,1,3,6,4,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,4,7,6,5,2,8] => [7,1,6,3,5,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,2,7,1,5,8,4] => [6,8,1,3,2,5,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,2,7,1,3,5,8] => [3,1,5,6,2,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,4,2,3,6,7,8] => [4,5,2,3,1,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,6,1,7,2,5,8,4] => [6,8,1,5,3,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,5,3,4,7,8,1] => [4,5,3,1,2,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,4,3,2,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,4,1,3,2,6,7,8] => [5,3,4,2,1,6,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,4,2,5,3,8,1,7] => [5,3,2,4,1,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,4,5,1,8,3,7] => [3,7,2,4,1,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,2,6,7,1,4,5,3] => [6,8,5,2,3,7,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,7,4,1,5,3] => [8,6,5,2,3,7,4,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,6,2,3,5,8,1,7] => [3,1,4,5,2,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,1,5,8,3,7] => [5,3,7,1,2,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,4,5,7,2,3,1] => [3,1,6,4,8,7,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,8,6,1,4,7,5,3] => [8,5,7,4,1,3,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,1,6,4,7,5,3] => [8,5,4,7,1,3,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,1,4,8,5,3,7] => [7,4,6,1,2,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,4,5,2,8,3,1,7] => [2,7,4,3,1,6,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,3,6,1,8,5,7] => [7,2,1,3,4,8,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,3,1,6,8,5,7] => [2,3,1,5,7,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,8,6,1,7,5] => [1,8,6,2,3,5,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,4,5,8,2,3,7,1] => [2,5,3,1,6,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,6,7,2,4,5,1,3] => [7,4,5,2,8,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,4,8,5,2,3,7,1] => [2,5,1,6,4,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,2,8,3,1,6,7,5] => [4,1,6,8,2,5,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,4,8,6,3,7,5] => [8,6,1,3,5,7,2,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,4,8,2,5,3,7,1] => [2,6,4,1,5,8,7,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,6,8,4,1,5,7,3] => [6,4,2,8,1,5,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,8,1,4,5,7,3] => [5,6,2,8,1,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,6,8,4,5,7,3] => [5,3,6,8,1,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,1,4,6,7,3,5] => [7,4,5,8,1,3,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,8,6,2,3,7,5,1] => [8,1,4,5,3,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,2,6,7,3,1,5] => [2,7,6,3,4,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,6,7,5,3,4,8,2] => [5,2,6,4,3,8,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,2,3,8,4,1,5] => [7,3,4,6,2,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,6,7,5,8,2,3,4] => [6,2,7,4,3,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,5,8,3,4,7,1] => [5,3,6,1,8,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,3,8,7,4,1,5] => [7,6,8,2,1,3,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,4,7,3,5,8,6,1] => [8,2,4,5,1,3,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,5,3,7,1,8,4,6] => [7,2,8,1,3,5,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,8,3,1,4,6,7] => [5,2,4,1,6,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,2,3,6,5,7,1] => [1,6,3,4,5,8,7,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,1,3,6,4,7,2] => [6,4,1,5,8,3,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,1,4,3,6,2,7] => [5,4,1,7,3,6,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,4,1,3,7,6,2] => [1,8,5,3,7,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,5,3,8,1,7,2] => [2,4,3,1,8,6,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,5,1,3,6,2,8,7] => [4,1,5,2,8,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,6,5,1,7,3,8] => [1,7,5,2,4,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,5,7,2,1,6,8] => [2,1,3,6,5,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,4,6,2,5,8,7,1] => [8,1,2,4,3,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,5,1,6,8,3,7] => [5,2,1,3,7,8,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,8,3,5,7,1,6] => [4,1,5,7,8,2,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,8,6,5,7,1,2] => [7,1,5,2,4,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,3,7,2,6,5,8,4] => [6,5,8,2,4,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,4,2,5,8,7] => [4,8,2,5,1,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[7,5,3,4,8,2,1,6] => [3,4,2,7,6,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,3,4,1,5,6] => [4,6,2,5,7,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,3,8,5,2,6,1] => [2,6,3,5,1,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,6,2,7,3,1,5,8] => [1,6,3,5,2,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,7,6,8,4,2] => [2,5,4,8,3,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,3,7,8,2,4,5] => [6,7,3,2,4,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,4,3,7,8,5,2,6] => [7,2,6,3,4,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,4,7,8,5,1,6] => [7,1,6,2,3,4,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,6,7,8,1,4,5] => [6,1,3,7,2,4,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,8,3,6,4,7,2] => [6,4,1,5,8,7,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,8,5,7,2,1,4] => [2,7,6,1,4,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,1,3,8,7,6,4,2] => [1,8,7,6,3,5,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,8,5,6,1,7,2,4] => [7,3,8,1,5,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,6,8,5,1,3,2] => [8,6,1,3,2,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,7,4,8,5,1,3,2] => [3,1,8,6,2,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,3,6,8,7,1,4,2] => [3,1,8,2,6,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,4,6,7,2,5,3] => [8,3,6,4,7,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,8,3,7,1,6,4] => [8,4,1,6,7,2,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,8,3,1,7,5,2] => [2,4,1,8,7,5,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,5,8,7,1,4,2] => [3,2,8,1,6,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,4,8,2,7,3,1] => [1,3,2,8,5,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,8,1,7,2,6,4] => [8,2,1,6,7,4,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,8,1,3,7,4,2] => [8,5,2,1,7,4,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,3,8,2,7,4,1] => [8,3,2,1,5,7,6,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,4,8,1,3,7,5,2] => [2,8,5,1,7,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,8,3,4,7,5,1] => [8,4,5,1,7,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,4,3,7,8,2,6] => [3,2,7,4,5,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,8,5,3,1,6] => [7,1,6,5,2,3,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,5,3,1,7,8,6] => [4,2,1,3,6,8,5,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,8,7,6,3,1,5] => [7,1,6,8,5,2,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,2,7,6,3,1,5,8] => [1,6,5,7,2,4,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,1,8,7,5,2,4] => [7,8,2,1,6,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,3,1,8,4,2,5] => [3,7,6,8,4,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,4,2,1,8,3,5] => [4,7,3,8,5,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,2,7,6,4,3,5] => [7,6,8,5,3,4,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,3,5,7,6,4,2,1] => [8,3,7,2,6,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,4,2,5,7,6,3,1] => [2,8,4,7,3,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,2,4,8,6,3,1] => [8,4,2,7,3,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,5,2,4,6,3,1] => [5,8,4,3,7,6,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,5,2,4,6,3,1,8] => [4,7,3,2,6,5,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,8,6,3,7,4,1] => [1,8,5,4,7,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,7,5,2,6,3,1] => [8,2,5,4,7,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,6,4,7,5,2,1] => [8,4,2,3,7,6,5,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,8,2,7,5,3,6,4] => [8,6,5,7,3,4,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,2,6,3,1,8,4] => [5,8,3,2,6,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,7,4,1,8,6,3] => [4,1,8,7,2,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,8,7,4,1,6,3] => [1,8,6,5,7,2,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,4,1,5,2,6,3] => [8,6,4,3,5,7,2,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,4,1,5,2,8,6,3] => [4,2,8,7,3,5,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,2,8,6,3,1,4] => [7,6,2,8,3,1,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,5,2,6,3,1,4] => [7,4,6,3,8,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,3,7,6,5,8,2,4] => [7,5,4,2,3,8,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,4,8,7,5,2,1,3] => [7,2,1,6,8,5,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,4,7,5,2,1,3,8] => [2,6,5,1,7,4,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,1,4,7,5,2,8] => [2,7,4,6,3,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,1,4,8,7,5,2] => [8,2,7,4,1,6,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,6,3,1,4,7,5,2] => [3,8,5,7,4,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,7,6,3,1,4,2] => [2,8,6,5,7,4,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,8,2,5,7,6,4,3] => [8,4,7,6,3,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,2,6,4,7,5,3] => [8,5,4,7,3,6,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,8,7,4,1,5,2] => [8,6,2,1,5,7,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,3,7,4,1,5,2,8] => [7,2,5,4,1,6,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,7,5,2,1,8,3] => [2,5,1,8,6,4,3,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,4,7,5,3,8,2] => [6,3,2,5,4,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,3,5,2,7,4,1] => [8,3,5,4,2,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,5,2,8,7,4,1] => [3,8,2,1,7,4,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,5,2,7,4,1,8] => [7,2,4,3,1,6,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,4,2,6,3,1,8] => [1,7,4,3,6,5,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,2,6,3,5,7,1,8] => [4,1,5,2,3,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,3,4,7,1,6,5,2] => [8,2,3,7,5,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,2,5,7,8,1,6,3] => [1,8,3,6,2,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,4,6,5,1,7,2] => [8,2,3,6,5,4,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,3,7,4,2,5,8] => [6,3,5,7,2,1,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,6,8,2,7,4,5] => [7,1,3,8,5,6,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,3,8,2,5,4,7] => [7,3,5,6,1,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,2,3,1,6,7,5] => [3,1,4,6,8,5,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,6,8,1,5,7,4] => [6,1,3,8,2,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,6,1,5,4,7,3] => [6,5,8,2,4,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,2,7,1,5,4,3] => [8,7,3,5,2,6,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,8,3,1,5,4,2] => [4,8,7,5,2,1,6,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,7,4,2,8,1,6,3] => [1,8,4,3,6,2,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,7,2,8,1,5,4] => [8,2,4,1,6,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,2,8,6,1,4,3] => [8,6,2,7,3,1,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,7,3,8,1,5,6,4] => [6,8,3,5,1,2,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,6,5,3,1,7,2] => [8,2,6,5,4,3,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,4,8,3,1,7,2] => [1,3,2,8,6,5,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,8,1,6,2,3,7,5] => [1,8,5,6,3,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,3,1,7,2,6,8] => [1,6,3,2,7,4,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,7,1,3,6,4,8] => [7,2,4,1,5,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,1,2,4,3,6,5] => [5,8,3,4,6,1,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,1,6,2,3,7,5] => [8,5,2,6,3,4,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,3,1,2,5,7,6] => [1,8,4,3,5,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,1,3,6,5,7,8,2] => [5,3,1,4,6,8,2,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,1,4,3,5,7,6,2] => [3,8,4,5,7,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,4,1,3,7,8,6] => [6,2,3,1,8,4,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,2,1,5,7,6,4] => [2,8,3,5,7,4,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,7,4,3,6,8,2,5] => [3,7,4,5,2,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,4,6,3,7,5,1] => [8,3,5,4,7,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,3,6,5,4,2] => [8,7,4,6,3,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,8,5,7,4,2,6,3] => [3,8,6,5,7,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,6,5,7,1,4,2] => [8,6,4,1,3,7,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,8,6,2,7,1,5,3] => [8,1,4,6,3,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,5,3,8,2,1,6] => [4,1,3,7,6,2,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,5,3,8,4,2,7] => [7,4,3,6,1,8,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,5,4,7,2,6,3] => [4,3,8,6,7,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,4,7,5,8,3,6] => [5,7,1,3,4,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,3,5,8,7,4,1,2] => [3,7,1,8,2,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,2,8,5,6,3,1] => [5,8,1,7,3,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,7,6,3,5,4,2] => [8,5,7,6,4,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,6,8,5,7,4,1,2] => [2,7,4,8,1,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,6,8,5,3,1,2] => [7,3,1,2,8,6,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,8,7,5,6,4,2,1] => [4,8,7,6,1,5,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,8,7,6,4,5,3,1] => [5,8,7,6,4,1,3,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,8,7,6,5,3,4,2] => [6,8,7,5,4,3,1,2] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[4,6,7,2,5,3,1,8] => [7,1,4,2,6,5,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,7,4,8,1,5,2] => [4,2,8,1,6,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,7,8,2,6,5,3] => [8,7,2,5,3,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,7,8,1,6,5,3] => [8,7,2,5,1,3,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,1,7,8,2,6,5,4] => [8,7,1,5,3,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,3,8,2,7,5,4] => [8,7,3,5,1,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,8,4,2,7,6,3] => [4,1,8,7,5,6,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,6,1,7,5,4,3] => [8,7,6,2,4,3,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,3,7,1,5,4,2] => [8,3,1,7,5,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,7,3,8,1,6,5,4] => [8,7,3,5,1,2,6,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,7,3,8,2,6,5,4] => [8,7,3,5,2,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,8,6,3,1,7,2] => [8,1,2,6,5,4,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,1,2,8,5,3] => [8,1,7,4,2,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,1,8,2,7,5,4] => [8,7,1,5,2,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,7,4,1,2,8,6,3] => [1,8,7,4,3,5,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,7,1,2,8,5,4] => [8,2,7,4,1,5,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,8,3,7,5,4] => [8,7,2,5,1,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,5,6,3,2,4,7] => [6,5,3,7,2,4,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,5,3,7,2,4,6,1] => [3,5,2,6,8,7,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,7,2,4,8,5,3,6] => [7,4,6,8,3,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,7,8,5,4,3,2,6] => [7,6,5,4,2,8,1,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[2,6,8,7,4,3,5,1] => [2,6,5,8,7,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,2,6,7,8,4,3,5] => [3,7,6,4,8,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,7,5,8,4,1,3,6] => [6,3,7,5,1,2,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,1,7,8,4,5,3,6] => [5,7,6,1,3,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,8,2,1,5,4,6] => [4,7,1,5,6,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,7,5,3,6,1,2] => [7,2,5,4,8,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,1,4,6,7,3,5,2] => [6,3,4,8,7,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,8,4,7,1,5,2] => [4,2,8,1,6,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,1,3,6,8,2,5] => [1,7,4,5,8,3,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,6,4,8,1,2,5] => [6,4,7,1,3,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,7,5,6,8,2,4] => [4,7,1,5,3,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,5,4,2,1,8,6] => [5,4,1,3,8,6,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,3,6,7,4,2,8,5] => [5,3,8,2,6,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,4,8,2,7,5,1] => [8,3,1,2,5,7,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,7,1,5,6,3,2,4] => [7,6,4,8,3,5,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,1,6,7,5,3,2,4] => [7,6,3,8,5,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,7,8,6,5,3,2,4] => [7,6,2,8,5,4,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,7,2,4,6,5,3,1] => [8,4,7,3,6,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,7,8,2,6,4,5,3] => [6,8,7,4,2,5,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,2,5,4,6,1,3] => [7,5,3,4,8,6,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,2,5,3,1,6,4] => [5,8,3,6,4,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,3,2,1,5,6,4] => [4,3,6,8,5,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,6,7,3,1,5,4] => [5,8,6,2,3,7,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,7,2,8,5,6,4,3] => [5,8,7,6,3,1,2,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,7,1,8,4,6,5,3] => [8,5,7,6,1,3,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,8,2,1,6,5,4] => [8,4,7,1,5,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,6,1,4,5,3,2] => [5,8,7,4,6,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,8,1,2,3,7,5,6] => [7,1,8,3,4,5,6,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,8,2,3,6,5,4,7] => [7,6,3,4,5,8,1,2] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,8,5,4,6,2,3,7] => [6,4,3,7,5,8,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,8,5,4,6,1,2,7] => [6,4,1,3,7,5,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,5,1,6,4,2,7] => [7,6,1,4,3,5,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,5,4,6,1,3,7] => [6,4,3,7,1,5,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,8,5,4,6,3,1,7] => [4,3,7,6,1,5,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,5,4,6,3,2,7] => [4,3,7,6,5,8,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,4,2,7,8,5,1] => [3,5,1,2,8,4,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,4,1,7,8,5,2] => [3,5,1,2,8,7,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,4,8,7,5,2,1] => [2,8,7,1,3,6,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,6,4,3,7,8,5,2] => [3,5,2,8,4,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,3,4,8,6,5,2] => [8,7,3,4,6,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,1,3,8,4,2,5] => [7,4,6,8,3,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,4,2,7,8,3,5] => [3,7,5,2,8,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,4,1,7,8,3,5] => [3,7,5,1,2,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,2,3,4,8,6,5,1] => [8,7,2,3,4,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,3,1,8,6,4,5] => [7,8,2,3,6,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,3,8,6,1,4,2,5] => [7,2,5,6,1,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,2,8,6,3,4,1,5] => [5,7,6,8,2,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,3,8,5,6,4,1] => [5,8,7,2,3,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,4,8,7,1,5,3] => [8,3,2,6,7,1,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,5,8,1,6,7,2,4] => [2,7,1,5,8,4,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,1,3,5,8,2,4] => [7,4,5,8,3,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,1,3,8,2,6,5,4] => [8,7,3,5,6,2,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,1,8,5,4,2,3] => [7,8,6,5,3,2,1,4] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[3,2,6,5,8,4,7,1] => [4,1,3,6,8,2,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,7,1,6,5,8,2] => [1,6,2,5,8,4,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,2,6,4,8,3,7,1] => [4,3,1,6,8,2,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,1,6,4,8,3,7,2] => [4,3,1,6,8,7,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,1,6,4,8,2,7,3] => [4,3,1,8,6,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,6,4,8,1,7,3] => [4,3,1,8,2,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,7,4,8,2,6,1] => [4,1,6,2,3,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,4,8,1,6,2] => [4,1,8,2,6,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,1,6,2,7,3] => [2,1,8,6,4,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,7,2,6,1,8,5] => [1,8,2,4,6,5,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,7,1,5,2,8,6] => [2,1,5,8,4,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,7,1,6,2,8,5] => [1,8,2,6,4,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,8,2,6,3,7,1] => [2,1,6,4,5,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,8,1,6,3,7,2] => [2,1,6,5,8,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,8,6,3,2,5] => [7,1,6,3,8,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,3,2,1,4,7,5] => [4,3,8,5,1,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,4,1,6,5,8,3] => [3,6,2,5,8,4,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,5,8,4,3,1,6,2] => [2,8,6,5,4,1,7,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,8,2,4,1,3,7,5] => [8,3,5,4,1,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,4,7,6,3,5,1] => [6,8,3,7,5,1,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,2,7,5,8,4,3] => [5,4,8,7,2,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,5,2,6,8,3,7,1] => [1,4,2,6,8,3,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,5,3,4,7,2,1] => [4,1,5,3,8,7,6,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,4,1,5,3,7,2] => [6,5,3,1,8,4,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,4,7,6,2,5,1] => [6,8,2,3,7,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,3,5,1,4,7,2] => [3,6,1,8,5,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,5,4,2,3,7,1] => [5,1,6,4,3,8,7,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,2,4,3,7,6,1] => [4,1,8,3,5,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,5,1,6,2,8,3] => [2,8,6,4,3,5,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,7,8,4,1,3,5,2] => [6,1,8,5,4,2,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,1,6,8,4,7,5,2] => [3,8,1,5,7,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,6,1,5,7,4,2] => [5,8,2,7,4,3,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,2,7,5,8,6,1,4] => [4,7,1,3,8,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,4,7,8,1,6,3] => [2,8,3,6,1,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,7,8,1,5,3] => [3,8,2,6,1,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,8,1,7,5,3] => [3,8,2,7,1,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,3,8,6,2,1,5] => [2,7,3,6,1,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,2,7,6,1,8,4,5] => [7,8,1,5,2,4,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,8,1,7,4,5] => [7,1,3,8,2,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,6,2,1,8,5,7] => [2,1,4,7,3,8,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,4,2,5,8,1,7] => [4,1,3,5,2,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,6,2,3,7,5,8,1] => [1,6,3,4,2,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,4,2,3,6,7,1] => [4,1,5,3,6,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,5,3,2,1,7,6] => [2,5,4,3,8,6,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,4,2,3,7,5,1] => [8,4,3,1,5,7,6,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,4,8,3,2,7,1,5] => [2,5,4,1,7,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,3,7,2,1,6,4] => [3,1,5,8,6,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,5,6,4,7,1,8,3] => [2,4,3,8,1,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,8,1,6,7,3] => [3,2,6,8,1,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,7,3,8,2,1,5] => [2,4,1,7,6,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,4,3,2,1,8,5] => [5,4,3,1,8,6,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,4,3,7,2,1,5,6] => [3,2,6,5,7,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,6,5,8,7,3,4] => [4,3,7,8,6,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,2,8,4,6,7,3] => [5,2,6,8,7,1,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,2,7,4,6,8,3] => [5,2,6,4,8,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,2,7,3,6,8,4] => [6,8,5,2,1,3,4,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,1,2,8,3,6,7,4] => [6,8,5,1,7,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,3,4,8,7,2,1] => [8,3,2,1,4,7,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,1,2,8,3,6,7,5] => [6,1,8,5,7,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,7,3,6,8,5] => [6,1,8,5,2,3,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[8,5,3,7,4,6,2,1] => [5,2,8,3,7,6,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,1,2,8,3,6,4,5] => [7,8,5,6,2,3,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,8,2,3,5,7,4] => [6,8,4,5,1,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,7,2,3,5,8,4] => [6,8,4,5,2,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,8,2,4,5,7,3] => [5,6,2,8,4,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,8,7,5,6,2,1] => [5,8,1,7,2,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,2,7,4,6,5,3] => [8,5,7,6,3,4,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,6,2,3,5,8,4] => [6,8,4,5,2,3,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,6,2,3,5,7,4] => [6,8,4,5,2,3,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,7,2,3,5,6,4] => [6,8,4,5,7,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,7,3,4,5,2,1] => [4,1,5,8,7,6,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,1,2,3,4,6,5] => [8,3,4,5,6,7,2,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,6,1,2,3,4,7,5] => [8,3,4,5,6,2,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,1,6,2,3,5,4,7] => [7,4,5,6,2,3,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,7,6,2,4,5,3,8] => [5,7,4,6,3,1,2,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,3,7,5,1,4,8,2] => [6,8,2,1,5,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,3,5,7,4,8,6,1] => [8,3,5,1,2,4,7,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,3,7,8,5,1] => [5,2,3,8,1,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,2,4,5,1,3,7,6] => [3,8,2,5,4,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,8,5,2,4,6,7] => [5,6,2,4,7,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,6,7,1,8,4,5,3] => [6,2,8,7,1,4,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,3,1,4,2,6,7] => [6,4,3,1,5,7,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[3,8,4,2,6,7,1,5] => [3,7,1,4,5,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,6,2,7,8,5,3,4] => [7,4,2,8,6,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,5,2,6,7,8,4,1] => [4,1,2,5,8,3,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,5,1,6,7,3,8,2] => [1,4,2,6,5,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,4,1,7,5,3,6] => [3,7,6,8,1,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,3,1,7,4,2,6] => [3,7,6,2,8,4,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,8,7,1,5,3,6] => [1,7,5,6,8,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,6,8,1,7,4,3] => [3,1,8,7,2,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,7,3,2,6,8,1,4] => [3,1,7,4,5,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,1,2,3,5,8,4] => [6,8,3,4,1,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,6,7,8,4,2,5] => [3,7,1,6,4,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,1,4,5,7,2,6] => [4,2,5,7,8,3,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,6,3,8,7,5,4,1] => [2,8,7,6,1,3,5,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,2,3,7,5,4,1,6] => [7,6,2,3,5,8,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,6,3,5,4,1,7] => [7,4,6,2,5,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,5,2,4,3,7] => [7,5,6,3,4,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,2,4,1,5,3,7] => [7,3,5,4,6,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,1,6,5,3,2,7] => [2,7,6,5,3,4,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,3,6,1,5,4,2,7] => [7,2,6,4,5,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,2,6,5,4,1,7] => [7,2,6,3,5,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,1,7,5,4,2,6] => [7,2,6,5,8,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,3,8,7,5,4,2] => [8,7,6,3,1,5,2,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[3,6,1,8,7,5,4,2] => [2,8,7,1,6,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,8,1,5,7,6,4,2] => [8,4,7,1,6,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,2,8,7,6,4,1] => [8,2,7,1,6,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,8,2,7,6,5,1] => [8,7,1,2,4,6,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,8,7,1,6,5,2] => [8,7,1,2,5,6,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,3,5,7,6,4,2] => [8,4,7,3,6,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,8,5,7,6,3,2] => [8,1,4,7,6,5,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,3,1,7,2,6,5,4] => [8,2,7,5,6,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,2,4,7,6,5,1] => [8,7,1,3,4,6,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,8,3,7,4,6,5,1] => [8,5,7,3,6,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,3,7,1,6,5,4] => [8,7,2,3,5,6,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,7,1,3,6,5,4] => [8,7,2,4,5,6,3,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,7,2,6,4,3,5] => [7,6,8,4,5,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,5,2,4,3,6] => [7,5,6,4,8,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,8,5,7,6,3,1] => [8,4,7,2,6,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,1,5,7,6,4,3] => [8,4,7,2,6,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,1,8,7,5,4,3] => [8,7,6,2,1,5,3,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,1,8,2,7,5,4,3] => [8,7,6,4,1,5,2,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[8,1,7,3,5,2,6,4] => [8,4,6,5,7,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,5,2,7,6,4,3] => [3,8,7,6,2,4,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,7,2,4,6,5,3] => [8,5,7,4,6,2,3,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,4,1,7,6,5,3] => [8,3,7,2,6,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,2,8,3,7,6,5,1] => [8,1,7,4,6,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,2,1,7,6,5,3] => [8,1,7,3,6,4,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,8,7,2,6,4,3] => [1,8,7,5,6,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,8,1,3,7,6,2,4] => [7,1,8,4,6,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,5,4,1,7,6,3] => [4,3,8,2,7,5,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,3,7,6,5,2] => [8,3,7,4,6,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,1,3,7,6,5,2] => [8,1,7,4,6,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,8,1,7,6,5,2] => [8,1,7,2,6,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,6,3,2,1,7,4] => [1,5,4,8,6,3,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,6,3,2,4,1,8] => [1,5,4,7,6,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,7,2,4,3,1,8] => [7,4,2,1,6,5,3,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,1,3,2,8,6,4] => [8,4,1,7,3,5,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,1,3,2,7,4,6] => [4,7,1,8,3,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,5,1,3,2,4,8,6] => [4,8,3,5,2,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,1,2,5,4,8,3] => [6,5,8,3,1,4,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,1,2,5,7,4,3] => [5,8,7,3,1,4,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,2,3,8,6,4,5] => [7,8,6,2,3,4,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,6,4,2,3,5,7] => [5,6,4,7,2,3,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,4,8,2,3,7,6] => [3,2,8,5,6,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,8,2,3,5,6,4] => [6,8,4,5,2,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,2,3,1,4,6] => [4,6,5,2,7,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,1,2,6,8,3,5] => [7,5,2,8,3,4,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,5,4,1,8,6,3] => [4,3,8,2,7,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,4,2,1,8,6] => [5,2,4,3,8,6,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,2,8,5,6,1,4] => [7,2,5,8,3,1,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,6,5,2,3,8,1] => [5,6,1,4,3,2,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,6,8,7,2,1,3] => [2,1,3,7,6,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,4,2,1,8,5,3] => [8,4,3,1,7,5,2,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,3,2,1,8,5,4] => [3,8,4,1,7,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,2,1,7,3,6,8] => [3,6,2,1,7,4,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,8,1,7,3,4,2] => [6,2,1,8,7,4,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,8,3,4,1,7,2] => [4,2,1,8,6,5,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,1,2,8,5,3,6,7] => [6,5,1,7,8,2,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,7,4,1,6,5,2,8] => [3,7,1,6,4,5,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,8,2,6,1,7,4] => [2,8,1,4,6,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,7,6,2,5,8,4,3] => [5,8,7,4,3,1,2,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,6,5,8,4,2,3] => [7,4,3,2,8,6,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,7,6,5,8,1,2,4] => [6,7,4,1,3,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,2,8,4,5,1] => [6,8,4,1,3,2,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,6,8,5,1,2,7] => [1,6,2,3,7,5,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,1,5,8,4,3,6] => [4,7,6,8,1,3,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,6,1,8,4,3,5] => [7,6,8,4,1,3,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,8,4,2,5,3,1] => [1,8,5,4,2,7,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,1,2,7,8,5,3,6] => [1,7,6,4,8,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,7,3,1,2,6,8,5] => [1,6,3,8,4,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,6,1,5,8,2,4] => [7,5,8,1,4,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,5,6,4,2,7,1] => [3,6,5,1,4,8,7,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,2,6,4,7,8,5,1] => [5,1,3,8,2,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,7,1,3,8,6,5] => [1,8,7,2,4,5,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,2,7,3,4,8,1] => [5,1,6,3,2,4,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,1,3,8,5,4,7,2] => [6,5,8,3,1,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,6,8,5,1,3,4] => [6,7,3,2,8,1,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,6,8,5,3,1,4] => [7,6,3,2,8,1,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,5,8,6,4,1,7,3] => [8,2,6,5,1,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,6,2,3,5,8,7,4] => [8,5,7,3,1,2,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,7,3,1,5,4,8,2] => [3,6,5,1,8,4,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,4,3,8,6,2,1] => [3,2,8,4,1,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,8,2,5,7,1,6] => [2,1,4,5,7,8,6,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,1,6,2,5,3,7,8] => [6,4,1,5,2,3,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,8,6,4,7,2,3] => [1,7,5,4,8,6,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,2,6,1,5,3,8,7] => [5,1,8,2,4,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,5,2,3,8,1,6,4] => [8,3,4,2,6,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,2,3,8,4,1,6] => [7,3,4,2,6,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,3,1,4,2,5,7] => [6,4,3,5,7,2,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,7,5,8,6,3,4] => [4,7,3,8,1,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,3,8,6,5,2,1] => [8,7,1,3,2,6,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,4,3,6,5,8,1,2] => [2,7,3,5,4,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,6,7,5,1,4,2] => [8,6,3,7,1,5,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,2,7,6,5,8,3,1] => [5,1,4,3,8,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,7,8,5,2,3,1] => [2,6,1,3,8,7,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,8,5,4,1,7,6,2] => [4,3,8,1,7,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,2,5,8,3,1] => [2,5,1,8,4,3,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,8,7,5,1,4,2] => [8,6,1,7,2,5,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,4,3,5,7,1,2] => [4,3,1,7,5,8,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,2,4,8,7,6,1,3] => [7,1,8,3,6,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,4,5,1,8,6,7] => [2,1,3,4,7,8,5,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[4,2,5,1,7,8,3,6] => [3,1,7,2,5,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,4,1,3,8,6,7] => [7,3,1,2,8,4,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,5,3,8,2,6,7] => [2,4,3,6,7,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,8,2,4,3,6,7] => [6,4,5,1,7,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,4,8,2,3,6,7] => [5,3,2,6,7,8,1,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,5,1,4,7,8,2,6] => [7,1,4,2,5,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,2,4,8,7,1,5] => [7,8,1,3,2,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,7,2,5,8,1,4] => [7,4,1,2,5,3,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,5,6,8,3,7,2,4] => [2,5,3,7,8,6,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,1,5,8,3,4,7,2] => [5,3,6,1,8,7,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,8,1,3,4,7,2] => [5,1,6,2,8,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,6,3,5,4,7,2] => [6,4,5,3,8,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,7,3,6,4,5,2] => [6,8,4,7,5,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,1,7,8,5,4,6,2] => [6,5,1,3,8,7,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,7,1,8,4,3,5,6] => [6,5,7,8,1,3,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,6,3,5,8,1,4] => [7,4,5,3,1,2,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,5,6,8,1,3,4] => [6,3,7,4,1,2,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,6,8,7,2,3,4] => [6,3,1,7,8,5,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,6,8,5,3,1,2] => [7,2,3,1,8,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,1,5,7,8,3,6,4] => [8,3,6,1,4,7,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,8,6,7,5,1,2,4] => [6,7,3,8,1,5,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,5,8,6,3,1,2] => [3,7,1,2,8,6,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,8,5,1,3,2,6,4] => [5,8,4,6,3,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,8,1,5,4,7,3] => [6,5,2,8,1,4,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,4,7,6,2,8,3] => [2,8,3,6,5,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,3,7,6,5,1,8,4] => [8,6,5,1,2,4,3,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,1,5,8,3,2,7,4] => [5,3,8,6,1,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,5,4,8,3,2,6] => [4,3,7,6,8,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,7,5,3,2,8] => [2,7,6,5,3,1,4,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,7,6,4,8,1,5,3] => [4,8,6,3,1,2,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,2,5,4,8,1,6,3] => [4,3,8,2,6,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,2,5,3,8,6,4] => [4,8,7,3,5,1,2,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,2,3,8,6,1,5,4] => [8,6,7,2,3,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,8,4,1,6,3,7] => [7,5,2,1,4,6,8,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,6,5,2,1,8,4,3] => [8,4,7,5,3,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,7,5,1,8,3,6,4] => [8,6,3,7,1,4,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,8,7,4,3,6,2] => [1,6,5,8,7,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,4,7,6,3,5,1,2] => [7,2,5,8,6,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,1,7,4,2,3,5,6] => [5,6,4,7,8,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,5,1,3,8,7,4,2] => [8,7,4,2,1,6,3,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,1,8,5,3,7,2,4] => [5,7,4,1,8,6,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,1,6,8,3,7,4,2] => [3,1,8,5,7,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,5,1,7,4,3,2] => [8,7,6,4,3,2,5,1] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,6,4,1,3,5,8,2] => [5,6,3,8,4,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,6,2,7,4,3,1,8] => [1,7,6,3,2,5,4,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,8,5,2,1,4,6] => [6,5,7,1,4,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,4,7,3,1,5,2] => [3,1,8,6,5,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,6,5,1,2,7,3] => [8,1,5,6,4,3,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,6,7,1,2,5,3] => [2,8,5,6,3,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,2,6,1,8,4,3] => [1,8,7,3,5,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,2,6,1,3,8,4] => [8,3,1,5,6,4,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,8,2,6,1,4,7,3] => [6,1,8,3,5,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,7,5,6,1,4,2] => [8,6,4,7,1,5,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,4,7,2,1,5,3] => [5,3,1,8,6,7,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,2,1,3,5,6,7] => [4,3,1,5,6,7,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,7,2,5,4,3,8,6] => [5,4,8,3,6,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,8,7,5,6,2,3] => [7,1,5,8,6,4,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,5,8,7,4,3,6,2] => [6,2,5,8,7,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,4,1,3,8,7,5,2] => [2,8,7,4,1,6,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,1,7,4,6,8,3,5] => [7,4,5,1,3,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,6,4,2,7,3,5,1] => [6,3,8,4,2,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,8,6,2,7,3,5,4] => [8,6,7,4,3,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,8,6,2,3,5,4] => [8,5,6,2,7,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,1,3,6,7,5,4] => [5,8,7,1,3,4,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,2,4,8,6,1,5,3] => [8,3,6,7,2,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,2,4,3,8,1,7,5] => [3,8,2,4,1,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,4,3,1,6,7,2] => [1,6,4,3,8,5,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,8,1,5,7,6,3] => [1,8,5,7,2,4,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,7,2,5,4,8,1] => [6,2,4,1,5,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,6,3,4,8,1] => [5,1,6,3,4,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,5,4,6,2,8,1] => [4,3,6,1,5,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,3,2,1,7,4,5] => [4,3,7,1,8,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,1,7,5,3,2,6] => [7,1,6,5,8,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,7,2,8,6,1] => [2,1,8,3,5,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,5,7,2,8,4,1] => [3,2,8,1,5,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,5,3,8,2,1,7] => [4,1,3,2,7,6,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,5,8,7,3,1,4] => [3,2,7,6,8,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,8,4,1,7,2,5] => [7,2,4,1,8,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,1,6,4,3,5] => [7,6,8,2,4,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,7,6,4,1,5] => [7,6,8,1,5,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,4,3,5,1,7] => [5,4,7,2,6,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,2,8,6,3,7,1] => [2,1,6,5,8,3,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,7,5,3,1,4,6] => [6,5,7,4,8,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,6,3,1,4,8,7] => [4,2,8,1,5,3,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,3,2,4,1,8,7] => [4,3,5,2,1,8,6,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,8,7,3,2,4,1] => [2,1,6,5,8,7,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,1,4,7,8,5,3,6] => [7,6,1,3,4,8,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,3,1,6,5,7,4,2] => [5,2,4,8,7,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,6,7,3,1,4,2] => [2,8,6,5,3,7,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,3,1,4,6,7,2] => [5,3,6,2,8,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,1,6,4,3,7,2] => [6,5,4,2,8,3,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,1,4,3,7,8,2,5] => [3,7,4,5,1,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,2,7,5,8,3,4] => [7,5,4,8,2,1,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,8,5,6,7,1,2,4] => [6,3,7,1,4,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,1,2,8,4,7,3] => [6,8,7,3,2,1,4,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,5,8,1,4,6,7,3] => [5,2,6,8,1,4,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,1,8,7,5,4,6,3] => [6,5,8,7,1,4,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,5,2,3,7,1,6] => [4,2,5,3,7,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,2,8,6,3,1,5] => [7,1,6,8,3,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,7,5,2,8,3,1] => [8,2,1,5,4,3,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,1,3,6,4,8,2] => [6,4,5,2,8,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,2,3,7,8,4,1] => [5,8,3,2,1,4,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,6,3,8,7,5,1,2] => [7,1,2,8,3,6,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,8,4,2,5,7,6,3] => [3,8,5,7,4,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,5,4,1,7,6,3] => [4,3,8,7,1,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,5,8,3,7,1,6,4] => [2,8,4,6,7,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,5,2,4,7,6,3] => [8,5,3,7,4,6,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,6,2,8,7,5,3] => [3,8,2,7,6,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,8,2,4,1,6,5,3] => [4,8,3,7,5,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,6,1,8,7,5,3] => [3,8,2,7,1,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,2,4,5,7,6,3] => [8,4,5,7,3,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,2,5,7,6,4] => [8,5,7,2,4,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,8,1,5,7,6,4] => [8,5,7,1,2,4,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,6,1,8,7,5,3,4] => [7,2,8,6,1,5,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,2,8,7,5,3,4] => [7,2,8,6,5,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,3,8,7,5,2,4] => [7,2,8,6,3,5,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,3,8,7,5,1,4] => [7,2,8,6,1,3,5,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,2,8,1,5,7,6,4] => [8,1,5,7,2,4,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,1,4,5,7,6,3] => [8,4,5,7,1,3,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,8,2,1,4,6,5,3] => [8,3,5,7,4,1,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,1,6,8,7,2,5,4] => [3,8,1,6,7,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,4,5,1,6,2,7] => [3,7,1,5,4,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,4,7,6,3,2,5] => [7,3,6,8,5,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,8,6,2,7,1,4] => [5,1,7,2,4,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,6,1,5,7,2,4] => [7,2,5,8,4,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,6,3,1,2,5,7] => [5,2,6,4,7,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,1,4,5,2,3,7] => [6,4,7,3,1,5,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,5,8,4,6,2,3,7] => [2,6,4,7,5,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,6,5,3,8,4,7] => [7,4,1,3,8,2,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,6,8,1,4,2,3,7] => [6,1,7,4,2,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,7,4,8,1,2,3,6] => [5,1,6,3,7,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,1,5,3,7,4,6] => [7,2,4,8,3,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,7,1,5,6,2,3,4] => [6,7,4,8,3,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,6,5,8,7,2,3,4] => [6,3,2,7,8,5,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,7,1,6,2,4,8,5] => [8,1,5,6,3,4,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,2,7,6,8,3,4] => [7,5,4,1,8,2,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,7,2,5,8,3,4] => [7,5,8,4,2,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,6,5,8,2,3,4] => [6,7,4,3,2,8,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,8,5,7,2,3,4] => [6,2,7,4,8,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,1,2,6,8,3,4] => [7,5,8,3,2,4,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,5,2,7,8,3,4] => [7,5,3,8,2,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,6,3,8,7,2,4,5] => [6,7,2,8,3,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,1,4,2,5,7,6] => [4,2,8,3,5,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,2,7,8,4,6,5] => [8,1,6,4,7,2,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,2,6,8,7,3,4] => [4,7,1,8,6,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,6,2,5,7,3,4] => [7,5,8,4,3,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,8,1,2,6,3,4] => [7,1,8,4,5,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,6,8,5,2,3,4] => [6,7,3,8,5,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,7,1,2,8,4,6,5] => [8,1,6,7,3,4,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,6,3,1,5,2,4] => [7,4,8,5,1,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,7,4,8,2,5,3,6] => [3,7,5,6,2,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,6,1,4,2,7,5] => [5,8,1,4,6,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,8,4,1,5,3,2] => [8,7,5,4,2,1,6,3] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,3,2,8,1,5,4,6] => [2,7,3,5,6,1,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,4,1,7,2,6,8] => [6,1,3,2,7,4,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,4,7,3,2,5,1,8] => [2,5,4,1,7,6,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,5,3,8,4,1,2] => [4,7,3,2,1,8,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,4,5,7,8,1,3,2] => [2,3,1,8,6,4,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,2,7,6,8,5,4] => [5,1,4,8,7,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,1,8,3,5,4,2,7] => [7,4,6,5,1,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,5,2,4,6,1,7] => [4,5,1,3,7,6,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,4,8,3,5,2,7] => [3,5,2,7,6,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,4,8,6,3,7,2] => [2,6,3,5,8,7,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,2,5,3,7,1,6] => [1,5,3,4,7,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,8,4,5,2,6,7,1] => [3,5,1,4,6,8,7,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,7,8,4,6,3,2,1] => [4,1,2,8,7,6,5,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,3,2,8,6,4,7,1] => [6,2,1,5,8,3,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,8,1,2,7,4,3,5] => [7,6,8,3,1,4,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,1,3,2,4,7,8] => [5,3,4,1,6,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,1,3,7,8,6,4] => [5,2,8,1,7,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,7,2,1,8,6,5] => [1,8,2,4,7,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,7,2,1,3,5,8] => [1,5,4,6,2,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,2,3,1,5,7,8] => [3,1,5,4,6,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,4,2,5,1,7,8] => [4,1,3,6,5,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,1,6,4,7,5,2,8] => [7,1,4,3,6,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,2,7,5,4,1,8] => [7,6,1,3,2,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,7,5,3,6,1,8] => [5,2,4,7,1,6,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,7,3,8,6,5,1] => [8,7,2,4,1,3,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,4,2,7,5,8,6,1] => [8,1,2,5,3,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,7,2,3,1,8,6] => [1,4,2,5,8,6,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,8,1,4,6,5,2] => [8,5,7,1,4,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,4,7,5,3,8,1] => [6,3,2,5,1,4,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,4,7,1,3,8,5] => [3,8,2,5,1,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,7,1,3,2,8,6] => [5,2,1,8,4,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,7,4,3,1,5,6,2] => [6,4,3,8,5,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,1,4,3,5,6,2] => [5,4,6,8,3,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,1,8,4,7,3,2,5] => [4,7,6,1,8,5,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,1,7,4,3,8,6] => [5,8,2,1,6,3,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,6,8,2,5,3,4,1] => [6,8,4,2,1,7,5,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,3,6,1,8,7,5,4] => [3,8,7,1,2,6,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,8,7,5,3,1,4] => [2,7,6,8,5,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,1,7,5,2,8,3] => [2,8,6,5,3,1,4,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,7,8,2,3,6,1,4] => [4,1,5,7,2,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,7,4,1,5,6,3] => [6,4,8,5,7,1,3,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,2,1,5,7,4,3] => [5,8,3,7,4,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,6,7,5,2,1,4] => [7,6,3,8,1,5,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,1,3,7,5,8,2,4] => [7,5,3,4,1,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,7,5,3,4,8,1] => [5,2,6,4,1,3,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,4,5,7,3,8,1] => [3,4,2,6,1,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,1,8,5,3,4,7,2] => [5,6,4,1,8,7,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,1,5,6,8,3,7,2] => [3,1,4,6,8,7,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,4,1,8,7,2,5,3] => [2,8,6,1,7,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,3,8,5,2,7,4,6] => [7,4,8,2,5,6,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,8,6,7,2,4,5] => [6,7,4,8,2,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,6,8,2,1,4] => [7,3,2,6,4,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,2,6,8,7,1,3,5] => [1,6,3,7,8,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,6,8,7,2,3,5] => [6,2,3,7,8,5,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,5,3,8,1,7,2,6] => [1,3,2,7,8,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,8,4,1,7,2,6] => [2,7,1,4,8,5,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,5,7,8,2,3,4] => [6,3,2,7,4,8,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,4,8,2,3,7,1] => [1,5,3,2,6,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,5,4,8,1,3,7,2] => [6,3,2,1,8,5,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,4,8,5,1,3,2] => [3,8,6,2,1,7,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,2,6,5,8,1,3,4] => [6,7,4,2,3,1,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,7,5,2,4,8,1] => [5,6,2,1,4,3,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,2,7,4,5,3,6] => [5,7,6,8,2,3,4,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,7,4,6,1,3,8] => [2,6,4,7,1,5,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,7,4,5,3,8,2] => [4,6,5,3,1,8,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,6,4,8,3,1,7,5] => [3,5,2,8,1,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,7,5,6,4,2] => [5,8,7,3,6,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,1,6,5,7,8,2,3] => [1,4,3,7,5,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,3,7,4,2,8,5] => [5,8,3,6,2,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,7,2,4,1,3,8,5] => [8,3,5,4,1,6,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,8,4,2,6,5,1] => [4,8,2,5,1,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,3,4,2,7,1,6] => [3,5,4,2,7,8,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,6,7,2,5,4,3] => [8,7,5,3,6,4,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,6,8,3,5,4,2,1] => [8,4,2,1,7,6,5,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[1,6,7,3,8,5,4,2] => [2,8,7,4,3,6,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,2,4,6,1,5,3] => [4,8,3,6,7,5,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,8,6,5,2,4,3,1] => [8,5,1,7,6,4,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[3,6,7,5,2,8,4,1] => [2,8,5,1,4,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,6,7,8,1,3,2] => [2,1,3,8,6,4,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,3,2,8,6,4,1] => [8,3,2,7,4,1,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,4,8,6,7,2,3,1] => [1,6,2,4,8,7,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,8,6,3,1,2,7] => [2,1,6,7,5,4,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,4,8,7,2,1,3,6] => [2,1,6,5,7,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,5,4,7,8,1,3,6] => [3,2,6,7,1,4,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,6,4,8,2,7,1] => [4,2,1,3,6,8,7,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,6,3,7,4,5,1] => [6,8,4,2,3,7,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,5,7,3,4,1] => [6,4,3,8,2,7,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,4,6,1,5,2,8,3] => [2,8,6,4,5,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,6,2,8,3,7,1] => [2,1,6,3,8,4,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,1,7,2,5,3] => [2,8,6,7,4,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,1,6,3,8,7,4] => [4,8,2,1,7,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,2,8,5,4,1,7] => [7,2,6,3,1,5,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,1,5,2,8,6,7] => [4,2,1,7,8,3,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,5,4,1,3,2,6,7] => [6,4,5,3,2,7,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,4,1,5,2,6,7] => [6,1,4,3,5,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,5,4,3,8,1,6,7] => [4,3,1,2,6,7,8,5] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,5,7,4,3,1,6,8] => [2,6,5,1,4,7,3,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,5,4,1,2,6,8] => [5,6,1,4,3,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,5,1,3,8,7,6] => [3,1,8,2,7,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,4,1,7,2,6,8] => [2,6,3,1,7,4,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,6,3,5,2,7,8] => [4,1,6,5,2,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,2,1,8,6,3,7,5] => [1,8,6,2,5,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,5,4,2,1,6,8] => [6,5,1,4,3,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,2,1,6,4,5,8] => [3,2,6,7,4,5,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,6,1,7,4,3,5] => [7,6,8,4,1,3,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,5,6,4,1,3,7,8] => [5,2,6,1,4,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,1,5,6,3,2,4,8] => [6,5,3,7,2,4,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,1,6,5,3,7,8] => [2,6,1,5,3,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,1,2,7,5,6,3,8] => [5,1,7,6,2,3,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,1,2,6,5,4,3,8] => [7,6,5,2,3,4,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,2,1,5,6,3,7,4] => [4,8,2,6,3,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,5,1,6,4,7,3] => [6,5,3,8,1,4,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,1,4,5,3,2,7,8] => [3,6,5,2,4,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,4,6,5,2,7,8] => [1,6,3,5,2,4,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,4,1,5,3,2,8,7] => [5,4,2,8,3,1,6,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[2,1,8,6,3,7,5,4] => [8,7,5,1,4,6,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,8,3,1,7,6,4,2] => [1,8,3,7,6,4,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,3,8,7,4,1,2] => [1,7,2,8,3,6,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,2,6,8,7,4,1,3] => [3,1,7,8,6,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,8,4,5,1,2,7] => [6,2,4,1,7,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,1,3,2,8,6,7] => [4,7,2,1,8,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,2,7,3,8,5,1,6] => [1,7,4,6,2,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,1,2,4,8,6,7] => [7,2,8,3,1,4,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,4,3,1,2,8,6,7] => [7,3,2,1,8,4,5,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,3,4,1,2,8,6,7] => [2,7,3,1,8,4,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,5,2,8,1,6,7,4] => [6,1,2,8,3,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,7,8,2,5,4,6] => [7,1,5,6,3,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,3,7,4,1,8,5] => [5,8,2,3,1,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,2,8,6,5,1,4] => [7,8,6,1,3,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,5,1,8,2,3,6] => [6,2,7,3,8,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,1,4,8,3,7,5,6] => [7,8,1,3,5,6,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,8,1,6,7,3,2,5] => [7,1,6,4,8,3,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,7,8,4,3,6,5] => [5,8,6,3,7,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,8,1,4,3,2,7,6] => [5,4,1,8,3,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,1,3,5,6,2,7] => [4,1,5,7,3,6,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,7,8,4,2,6,1] => [1,6,5,2,3,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,7,8,2,4,5,1] => [5,6,2,1,3,8,7,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,2,4,3,1,7,6] => [5,3,4,2,8,6,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,4,2,3,1,8,6] => [4,5,3,2,8,6,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,5,6,4,8,1,7,2] => [2,4,1,3,8,6,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,4,6,7,1,8,2] => [3,1,2,4,8,6,5,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,4,2,5,3,8,7,6] => [2,8,4,7,1,3,5,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,2,6,4,8,7,3] => [4,2,8,5,7,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,5,3,8,7,4] => [4,8,7,3,1,2,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[2,5,1,4,3,8,7,6] => [8,4,1,2,7,3,5,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,7,3,5,4,8,6,2] => [4,8,3,5,2,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,2,6,3,7,5,4] => [8,7,5,3,4,6,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,8,3,6,4,7,5,2] => [8,5,3,4,7,6,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,2,6,4,8,5,3] => [8,5,4,7,3,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,2,6,3,8,5,4] => [8,7,5,3,4,1,2,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,5,2,7,4,8,6,3] => [2,8,5,4,7,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,8,1,3,2,6,5,7] => [4,1,7,3,5,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,5,3,8,4,7,6,2] => [2,8,5,7,3,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,7,3,6,5,2] => [8,3,5,7,6,4,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,3,1,4,2,6,5,7] => [4,2,7,3,5,6,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,8,7,3,5,2,1,6] => [4,7,1,6,5,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,7,3,5,2,4,1] => [4,1,6,8,7,5,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,6,3,1,5,4,2,7] => [3,7,6,4,5,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,4,1,5,3,2,7] => [7,6,4,3,5,2,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,5,4,1,3,2,7] => [7,5,6,4,3,2,8,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,8,5,3,1,2,7,6] => [8,1,5,4,3,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,3,1,5,4,2] => [4,1,8,7,5,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,5,4,1,3,7,2] => [6,1,8,5,4,3,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,5,8,7,4,6,3,1] => [5,8,2,7,6,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,8,7,6,5,1,3,2] => [8,6,7,1,5,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,7,5,1,6,2,4] => [7,8,5,1,4,6,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,3,8,7,5,6,1,4] => [7,5,8,6,1,2,4,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,7,1,3,6,4,5] => [7,8,4,5,6,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,7,3,5,2,1,4] => [4,1,7,6,8,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,5,8,6,4,2,7,1] => [6,2,5,1,4,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,4,1,5,2,7,3] => [8,6,4,3,1,5,7,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,8,2,1,7,5,3,4] => [7,8,3,1,6,4,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,4,6,1,2,7,3] => [1,8,5,3,6,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,7,6,5,2,1,3] => [7,6,8,1,5,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,8,7,5,1,6,2,3] => [7,8,1,5,4,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,5,2,1,8,6,7,3] => [1,6,2,8,3,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,2,8,4,6,1,3] => [1,7,5,8,3,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,3,2,4,8,5,1] => [3,8,4,1,5,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,8,6,4,5,1,3] => [7,5,8,6,2,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,7,8,6,4,1,3,5] => [6,7,5,2,8,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,3,5,2,8,4,1] => [8,3,5,4,2,1,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,2,7,4,8,5,3,1] => [8,4,3,1,7,2,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,5,1,7,2,4,3] => [8,6,7,4,3,2,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,6,8,3,7,4,2,5] => [7,4,2,6,8,5,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,1,6,3,4,8,2,7] => [4,5,3,1,7,8,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,2,6,4,8,1,7] => [5,1,3,2,4,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,2,4,8,1,7,6] => [8,1,3,2,4,6,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,3,8,7,5,4,2,1] => [1,8,7,6,2,5,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,8,4,2,1,7,5,3] => [8,4,3,1,7,5,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,6,4,3,8,1,7] => [5,4,2,1,3,7,8,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,5,3,1,4,8,2,7] => [5,3,7,2,1,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,7,8,6,4,2,5] => [7,6,1,3,8,5,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,1,7,6,2,5,4] => [8,6,7,1,5,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,6,4,2,5,3] => [8,6,5,7,4,2,3,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,3,8,6,4,1,5,2] => [8,6,2,5,1,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,7,5,8,2,4,3,6] => [7,5,3,6,2,8,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,5,2,4,8,3,7] => [5,7,3,8,2,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,6,3,8,2,4,7] => [4,2,6,3,7,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,7,1,3,6,5,2,4] => [7,8,4,6,3,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,6,7,4,3,8,5,1] => [4,2,8,5,1,3,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,4,7,3,8,6,1] => [8,3,1,5,2,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,4,8,7,3,6,5,2] => [8,5,7,2,6,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,7,2,5,1,6,4] => [8,2,4,6,5,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,2,8,1,5,4,6] => [7,1,3,5,6,2,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,1,5,8,4,3,6] => [4,7,2,6,8,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,8,1,4,3,6,5] => [5,8,2,4,6,1,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,7,8,3,2,6,5,4] => [8,4,7,5,2,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,5,4,8,3,2,6] => [4,3,7,6,2,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,5,4,3,8,2,7] => [5,4,3,7,1,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,4,2,3,5,7,8] => [4,5,3,6,1,2,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,5,8,6,2,3,4,7] => [5,2,6,7,4,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,5,7,2,3,4,8] => [5,6,3,2,7,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,5,6,2,3,4,8] => [5,6,3,7,4,1,2,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,3,2,7,6,4,5,8] => [6,7,2,5,1,3,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,3,7,6,4,5,8] => [6,7,5,1,2,3,4,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,4,2,3,7,6,8] => [7,4,3,1,2,5,6,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,5,4,2,3,8,6,7] => [7,3,2,8,1,4,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,7,5,8,2,3,4,6] => [5,6,3,7,2,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,5,8,6,3,7,4] => [8,3,6,1,5,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,3,8,6,1,7,4] => [2,8,6,1,3,5,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,3,5,8,1,7,4] => [4,8,3,1,2,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,3,2,8,6,1,7,4] => [8,2,1,6,3,5,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,8,4,6,1,3,7,2] => [1,6,3,8,5,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,5,4,8,1,7,3] => [4,3,2,8,1,6,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,3,5,7,2,6,4,1] => [3,8,2,5,7,6,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,4,6,8,5,3,7,1] => [3,6,2,5,8,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,8,1,7,6,5,3] => [8,7,2,6,1,4,5,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,8,1,5,7,6,2] => [1,8,2,5,7,4,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,4,1,5,7,6,2] => [3,8,1,5,7,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,4,7,2,6,3,1] => [3,2,8,5,7,6,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,6,8,5,4,2,7,1] => [2,6,5,1,4,8,7,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,4,8,5,2,7,1] => [6,3,1,2,5,8,7,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,6,4,1,8,2,7,5] => [3,8,1,6,2,7,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,3,5,6,7,1,4] => [4,7,3,5,8,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,2,4,7,1,8,3] => [4,1,8,3,2,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,5,4,6,1,8,3] => [4,3,8,6,1,5,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,7,4,1,3,8,5] => [8,5,4,1,2,6,3,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,5,7,4,1,3,8,2] => [6,2,1,8,5,4,3,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,1,6,3,5,7,8,2] => [4,1,5,3,6,8,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,4,2,5,7,8,1] => [4,1,3,5,2,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,6,1,5,7,8,4] => [5,6,1,2,3,8,4,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,3,6,2,5,7,8,1] => [2,1,4,5,3,6,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,6,1,2,5,7,8,3] => [5,1,6,8,3,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,4,1,5,7,8,3] => [5,3,6,1,2,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,1,6,5,7,8,3] => [2,5,1,4,6,8,3,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,5,4,2,6,1,8,3] => [8,4,3,2,6,5,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,7,3,1,8,6,5,2] => [8,1,3,7,6,4,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,6,4,2,7,1,8,3] => [1,8,4,3,2,6,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,2,7,5,3,1,8,6] => [1,5,4,8,2,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,6,4,8,2,1,7] => [4,2,1,3,7,6,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,2,5,4,1,8,6] => [2,5,3,4,8,6,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,6,3,8,7,2,1,5] => [7,1,3,2,6,8,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,6,3,8,2,1,5] => [4,7,1,6,3,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,3,8,6,2,1,5] => [7,1,3,6,2,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,3,2,6,1,8,4] => [3,1,8,4,6,5,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,2,6,4,1,8] => [3,1,7,4,6,5,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,2,8,4,3,1,6] => [7,6,3,2,5,1,8,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,3,2,4,1,8,6,5] => [2,8,3,4,7,5,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,7,5,2,6,1,8] => [1,5,2,4,7,6,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,4,5,3,7,2,1,6] => [2,4,3,7,6,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,5,2,8,6,1,7] => [2,1,3,7,4,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,6,8,2,1,7] => [1,3,2,4,7,6,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,2,8,6,4,5,7,3] => [5,6,4,8,7,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,5,3,4,6,7,2] => [4,5,3,6,8,7,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,4,1,6,3,5,2] => [6,3,8,7,4,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,5,6,1,3,4,2] => [6,8,5,3,7,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,8,6,5,3,1,4,7] => [6,5,7,4,1,3,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,4,8,6,2,3,1,7] => [2,1,5,7,6,4,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,7,5,2,3,1,6] => [5,7,1,6,4,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,2,4,7,6,8,3,1] => [5,3,1,4,8,2,7,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,2,8,7,5,1,6] => [7,1,2,6,8,3,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,5,7,6,3,2,4,1] => [2,6,5,8,7,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,4,1,8,7,3,2,5] => [2,7,6,1,8,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,5,4,2,7,3,6] => [7,4,3,8,5,6,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,6,1,5,8,4,2] => [5,8,7,1,4,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,5,8,2,7,4,1] => [3,2,8,1,5,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,2,7,4,6,5,1] => [8,2,5,7,3,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,5,8,4,1,3,6,2] => [6,2,8,5,4,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,6,2,3,8,4,5] => [7,8,4,5,2,3,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,7,1,3,2,8,5] => [5,2,8,4,1,6,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,1,6,2,5,3,4] => [7,8,5,6,3,4,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,5,2,4,7,6,1] => [8,4,1,3,5,7,6,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,5,1,4,7,2,6] => [5,7,1,3,8,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,5,4,1,3,8,6] => [8,5,2,4,3,6,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,8,1,6,3,2,4] => [7,6,2,8,4,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,4,8,5,6,2,3] => [7,3,5,8,6,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,4,6,1,3,2,5,8] => [6,4,2,5,7,3,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,5,8,6,3,2,7] => [7,2,3,6,5,8,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,5,7,2,6,1,3] => [2,5,3,7,8,6,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,5,2,6,7,3,1,8] => [1,4,2,7,3,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,8,3,6,1,4,7] => [4,6,1,7,2,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,5,1,6,7,8,2] => [2,1,5,3,6,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,7,5,1,2,8,4] => [8,5,1,2,6,4,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,6,8,5,2,4,3] => [8,6,3,2,7,5,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,6,8,1,2,4,3] => [1,8,5,6,3,2,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,3,7,1,4,8,2] => [3,1,6,2,8,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,2,1,8,6,4,7] => [2,7,3,1,6,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,8,6,1,4,5,2,3] => [7,5,8,4,1,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,8,5,4,6,7,2,3] => [4,3,7,5,8,6,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,8,3,7,2,1,4] => [4,2,1,7,6,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,5,3,6,2,1,4] => [4,7,6,3,1,8,5,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,5,3,6,2,4,1] => [4,6,3,1,8,7,5,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,8,4,3,2,6,5,1] => [4,3,8,5,1,7,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,8,4,3,2,6,7,5] => [4,3,6,8,5,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,4,3,8,2,1,7,6] => [3,2,1,5,8,6,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,4,8,3,2,1,7,5] => [2,5,4,1,8,6,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,8,4,3,2,7,6,5] => [3,8,4,7,5,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,8,3,1,2,7,4] => [8,5,4,2,1,6,7,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,8,6,7,3,2,4,5] => [6,5,7,3,8,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,8,6,1,3,2,4,5] => [6,4,5,7,1,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,3,8,2,1,6,7] => [3,2,1,6,5,7,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,4,3,2,5,7,6] => [4,3,8,5,6,7,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,3,8,2,6,7,1] => [3,2,1,5,6,8,7,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,4,2,3,5,1,8,7] => [3,4,2,5,1,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,3,8,6,4,7,1] => [6,5,1,8,2,3,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,2,3,7,4,8,1,6] => [5,7,2,1,3,4,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,6,3,2,5,4,7,1] => [3,6,4,5,2,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,8,1,5,3,4,6] => [6,7,2,4,5,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,6,4,7,2,5,1] => [4,6,3,8,1,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,1,8,6,4,5,7,3] => [5,6,4,8,1,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,2,3,4,7,1,6] => [3,4,1,5,7,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,3,4,7,8,2,1,5] => [7,2,3,1,6,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,5,1,4,7,6,2] => [8,5,1,3,7,4,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,6,8,5,2,7,3,1] => [2,8,1,5,4,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,8,5,2,6,4,1] => [8,5,4,1,2,7,6,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,8,6,2,7,4,5,1] => [6,8,4,1,3,7,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,4,7,1,3,6,2] => [6,3,2,8,5,7,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,6,2,8,1,5,4] => [8,2,4,6,3,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,2,3,7,8,5,1] => [5,2,8,3,1,4,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,7,2,8,4,5,1,6] => [5,7,1,3,6,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,1,8,4,6,2,7] => [5,1,2,7,6,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,1,5,6,8,3,7] => [2,4,1,5,7,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,1,2,6,5,8,3,7] => [5,4,1,7,8,2,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,2,7,5,8,1,3,6] => [1,6,4,7,2,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,2,7,8,3,1,5] => [7,1,6,3,2,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,1,3,8,2,5,7] => [4,1,6,7,2,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,6,2,1,8,7,5] => [1,8,2,4,3,7,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,4,5,1,6,2,8] => [3,7,1,5,4,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,5,8,2,1,7] => [3,4,1,2,7,6,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,4,5,1,6,3,8] => [3,7,2,5,4,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,4,1,6,3,2,8] => [7,6,4,3,2,5,1,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,5,4,8,6,3,2,7] => [2,7,3,6,5,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,4,8,6,3,1,2] => [3,2,7,1,8,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,8,7,5,3,6,4,2] => [8,5,4,7,6,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,3,7,4,1,6,2,5] => [7,2,4,8,5,6,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,5,4,1,6,3,2,7] => [7,6,4,3,2,5,8,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,7,4,2,6,5,3,8] => [3,7,6,4,5,1,2,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,2,1,5,6,7,3,4] => [4,7,2,5,8,3,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,1,4,8,6,3,2,5] => [7,3,6,8,5,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,3,6,8,2,7,1,4] => [5,2,1,3,7,8,6,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,3,7,4,8,2,1,5] => [4,7,2,1,6,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,6,1,4,7,2,8] => [2,5,1,7,4,3,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,6,8,2,7,1,5] => [1,5,2,3,7,8,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,3,7,4,8,2,1,6] => [4,1,7,2,6,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,8,4,1,6,2,7] => [7,2,1,5,4,6,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,8,1,4,7,2,6] => [2,5,1,7,8,4,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,4,1,6,3,2,7] => [1,7,6,4,3,5,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,3,8,4,1,6,2,5] => [7,2,4,8,5,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,2,5,6,7,3,4] => [4,7,5,8,3,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,4,1,6,5,2,3] => [7,3,8,6,4,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,3,8,1,5,7,2,4] => [7,2,5,1,8,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,2,6,5,3,7] => [3,7,6,2,4,5,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,3,7,4,8,2,6] => [5,7,3,1,4,8,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,3,4,7,8,2,6] => [7,3,4,1,5,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,8,7,4,3,6,1] => [6,2,5,8,7,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,7,8,3,4,2,6] => [5,1,7,6,3,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,8,2,3,4,1,7] => [4,1,5,2,7,6,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,2,3,8,6,1,7] => [1,7,3,2,4,6,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,7,4,5,8,1,2,6] => [3,6,1,4,7,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,1,4,5,2,6] => [5,7,1,4,6,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,1,3,7,5,2,6] => [1,7,4,6,8,3,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,7,8,5,3,6,1] => [6,5,2,3,8,1,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,1,4,7,2,8,6] => [2,8,4,1,6,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,8,5,1,2,7,6] => [1,8,2,5,4,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,7,5,8,3,6,1] => [4,6,2,3,8,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,5,8,2,1,7,6] => [2,1,3,5,8,6,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,5,7,3,1,2,6] => [6,1,3,7,5,8,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,7,5,1,3,2,6] => [7,1,5,6,4,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,2,8,5,1,3,6,7] => [5,1,6,2,4,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,7,8,4,1,5,2,6] => [7,5,1,4,6,2,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,7,5,8,2,1,6] => [4,7,1,2,6,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,8,5,7,2,4,3,6] => [7,5,3,6,8,4,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,8,5,4,2,3,6,7] => [5,6,4,3,7,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,6,8,5,4,2,7] => [3,7,6,2,5,8,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,6,3,8,2,7,4,5] => [7,8,3,2,5,6,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,2,3,6,7,5,4] => [5,8,7,3,4,6,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,6,8,2,7,5,4] => [3,8,7,2,5,6,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,6,5,4,3,8,2,7] => [5,4,3,2,7,8,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,2,7,8,4,5,3,6] => [5,7,6,3,8,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,2,8,4,3,6,5,1] => [4,8,5,7,2,1,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,5,6,3,4,1] => [6,4,8,7,2,1,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,3,8,5,4,2,1] => [8,7,3,2,1,6,5,4] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[6,2,8,7,5,4,1,3] => [7,1,8,6,5,2,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,8,4,3,1,7,6] => [5,4,1,8,2,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,7,3,6,2,8,4] => [2,8,4,6,5,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,5,4,8,3,7,6] => [3,8,4,6,7,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,4,3,5,8,2,7,6] => [2,8,3,4,6,7,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,3,7,6,8,2,4] => [2,7,5,3,4,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,5,7,8,1,3] => [1,4,3,7,2,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,5,7,6,8,1,4] => [7,1,3,5,2,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,2,6,8,4,7,1] => [2,4,1,6,8,3,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,1,6,8,5,4,2,7] => [3,7,1,6,5,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,8,7,6,4,1] => [1,8,7,2,6,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,8,2,7,6,1,4] => [7,1,8,2,4,6,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,4,8,3,7,2,1] => [3,2,1,5,8,7,6,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,3,8,7,2,6,5,1] => [8,1,5,7,2,6,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,7,5,1,8,4,6,3] => [6,3,8,7,1,4,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,5,2,1,6,4,3] => [8,4,7,5,3,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,4,8,1,2,5,3] => [8,5,3,6,2,1,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,4,8,3,2,6,1] => [3,2,6,5,1,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,8,5,6,2,7,1,4] => [5,3,7,1,4,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,4,5,8,7,3,1,6] => [7,2,3,6,8,1,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,5,8,6,7,1,3] => [7,2,3,5,8,1,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,1,5,6,2,8,7] => [4,2,1,5,8,3,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,5,8,6,7,2,3] => [1,7,3,5,8,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,7,6,1,2,8,5] => [1,8,2,5,6,4,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,5,6,1,2,8,3] => [8,1,5,3,6,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,5,8,6,7,2,1] => [5,8,1,2,3,7,6,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,5,8,6,7,4,3] => [5,8,3,7,1,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,7,1,3,8,5] => [3,8,5,1,2,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,8,6,4,7,2,1] => [1,5,4,8,2,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,1,5,7,8,3,2] => [4,2,5,1,8,7,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,4,7,2,1,8,5] => [3,5,1,2,8,6,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,8,6,5,2,7,4,1] => [8,5,4,1,3,7,6,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,8,6,5,1,7,2,4] => [7,8,5,1,4,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,1,7,3,2,8,5] => [5,2,8,6,3,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,4,6,7,2,8,3] => [3,4,1,8,6,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,5,4,7,1,3,8,2] => [6,3,2,1,8,5,4,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,1,6,5,3,7,8,4] => [6,4,1,3,8,2,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,2,5,4,8,3,7] => [5,4,7,2,8,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,7,5,8,3,6] => [5,1,7,4,8,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,5,8,2,4,7] => [6,3,4,7,1,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,4,3,1,8,2,7] => [1,7,4,3,2,8,5,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,3,5,8,1,4,7] => [6,2,3,4,1,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,7,2,3,8,4,5,1] => [6,8,3,1,4,2,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,4,1,8,3,2,6] => [1,7,6,3,8,4,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,1,3,8,4,5,2] => [6,8,4,1,7,3,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,7,4,3,8,5,2] => [4,2,8,5,3,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,7,4,2,8,5,3] => [4,8,7,5,2,1,3,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,1,6,7,4,3,8,5] => [5,3,8,1,6,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,7,3,2,1,8,4,5] => [4,3,7,1,8,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,7,3,1,4,8,6] => [4,2,8,1,5,6,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,7,3,2,8,4,5,1] => [3,6,1,8,4,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,2,6,7,4,3,8,5] => [5,3,8,6,1,2,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,7,5,8,1,6,3,4] => [7,3,8,5,1,2,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,1,8,4,5,3,2] => [5,1,8,7,6,3,2,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,3,7,6,1,2,5,4] => [8,2,5,6,7,4,3,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,2,5,7,1,4,6,3] => [6,3,8,2,5,7,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,5,6,2,4,1] => [6,3,4,8,7,5,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,4,6,7,5,1,3,2] => [8,2,6,3,7,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,3,5,7,6,1,4,2] => [3,8,2,6,7,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,4,6,5,2,1,3] => [3,7,6,8,5,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,5,6,7,4,1,3,2] => [2,8,6,3,7,5,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,5,7,6,4,1,2,3] => [6,2,7,8,5,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,4,2,7,5,1,6,3] => [2,8,6,3,5,7,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,3,5,2,7,4,6,1] => [6,2,3,8,4,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,5,2,6,7,4,1,3] => [7,4,2,8,3,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,2,4,7,3,1,5] => [4,7,3,6,2,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,2,3,7,4,1,6] => [7,3,4,2,6,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,5,3,2,7,6,4,1] => [8,3,2,7,4,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,1,5,4,3,2,7] => [7,6,5,3,4,2,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,4,3,8,5,1,6,7] => [2,6,1,3,5,7,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[7,8,3,2,5,4,6,1] => [3,6,4,5,1,8,7,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,6,7,3,8,2,4] => [2,5,3,7,4,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,5,4,8,3,2,7] => [4,3,2,7,6,8,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,1,6,4,8,5,3] => [8,5,2,4,7,3,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,7,2,4,6,5,1] => [8,4,5,7,1,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,3,7,6,4,8,5,2] => [8,5,4,2,3,7,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,1,8,7,6,4,2,5] => [7,6,8,1,5,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,8,7,5,4,2,6] => [7,6,1,5,8,4,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,1,6,5,3,2,7] => [7,1,6,5,3,4,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,1,7,6,3,2,5] => [2,7,6,8,5,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,1,8,6,3,2,7] => [2,1,7,6,5,8,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,1,7,6,3,2,8] => [2,1,7,6,5,3,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,4,1,8,5,3,2,7] => [2,7,6,5,1,8,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,4,1,7,5,3,2,6] => [2,7,6,5,8,3,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,1,6,5,3,2,8] => [2,7,6,5,3,4,1,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,5,6,1,4,3,2,8] => [7,6,4,2,5,3,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,5,6,1,4,3,2,7] => [7,6,4,2,5,3,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,7,1,4,3,2,6] => [7,6,4,2,5,8,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,7,6,1,4,3,2,8] => [1,7,6,4,5,3,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,8,6,1,4,3,2,7] => [1,7,6,4,5,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,5,1,4,3,2,8] => [7,6,4,1,5,3,2,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,7,5,1,4,3,2,6] => [7,6,4,5,3,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,5,1,4,3,2,7] => [7,6,4,5,3,2,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,1,7,2,5,3,4] => [7,8,5,6,3,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,6,3,4,2,5,7] => [4,6,5,7,3,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,8,7,2,5,1,3] => [5,1,2,7,8,6,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,6,3,8,4,5,2,1] => [5,8,3,2,1,7,6,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,2,7,6,1,4,3,5] => [7,5,6,8,2,4,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,7,8,1,4,3,6] => [7,5,1,6,2,3,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,2,7,6,1,4,5,3] => [6,8,5,7,2,4,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,2,3,7,1,6,8,4] => [6,8,2,1,3,5,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,3,4,7,8,1,6] => [7,2,3,1,4,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,4,7,8,5,2,3,6] => [6,7,2,5,3,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,7,4,1,5,8] => [6,1,5,2,3,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,5,1,7,2,4,8,3] => [6,8,5,3,2,1,4,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[3,6,7,1,4,2,5,8] => [6,1,4,5,2,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,5,8,2,1,3,6] => [6,1,5,3,7,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,2,7,5,4,3,6] => [7,6,5,8,2,3,4,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,5,1,8,3,7,2,4] => [5,7,2,1,8,6,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,8,1,5,4,2,3,6] => [6,7,5,3,4,1,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,5,1,4,6,3,8] => [5,7,4,1,3,6,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,4,6,8,1,5,7,2] => [6,1,2,3,8,5,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,7,6,1,4,3,8,2] => [1,6,5,8,4,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,3,5,7,1,4,2,8] => [7,2,5,3,1,6,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,6,7,4,8,1,3] => [3,1,7,5,2,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,7,5,2,6,4,8,3] => [6,5,3,8,4,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,1,3,6,8,2,4,5] => [6,7,3,4,8,2,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,2,5,7,8,4,6,3] => [6,3,4,8,7,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,7,4,1,3,2,8,5] => [5,8,4,3,1,6,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,2,8,4,3,5,6] => [6,5,7,8,3,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,3,5,7,8,2,4] => [4,7,3,2,5,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,6,1,7,5,2,4,3] => [8,6,7,5,3,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,4,1,8,3,2,5] => [7,6,3,8,4,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,5,3,4,7,8,2,6] => [7,3,2,4,5,8,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,2,1,5,7,8,3,6] => [7,2,1,4,5,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,4,1,6,7,8,2,3] => [4,2,1,7,5,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,4,6,7,8,2,3] => [3,4,1,7,5,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,5,4,6,3,2,8] => [4,3,7,6,2,5,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,2,1,6,7,5,4,3] => [4,8,7,2,6,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,2,4,7,6,3,8,5] => [8,6,3,5,1,2,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,7,4,1,8,5,2,3] => [7,3,1,8,6,4,2,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,6,4,1,5,7,3,2] => [5,3,8,7,4,2,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,4,3,7,1,6,8] => [4,2,3,1,6,7,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,5,4,8,3,2,7] => [4,3,7,6,1,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,2,8,7,4,3,6,5] => [5,8,6,7,4,1,2,3] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,1,3,7,8,2,6] => [1,7,4,2,5,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,4,3,1,5,2,8] => [7,5,4,3,6,2,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,4,6,1,3,2,8] => [7,5,3,2,6,4,1,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,5,6,3,7,8,2,4] => [2,7,4,3,5,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,8,3,5,7,2,4,1] => [6,3,1,4,8,7,5,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,6,3,8,4,5,7,2] => [5,6,2,8,3,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,4,2,6,3,8,1] => [6,4,3,2,5,1,8,7] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,7,2,8,6,4,5,1] => [6,8,7,1,3,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,7,5,8,2,4,1] => [6,4,2,1,3,8,7,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,3,7,8,6,2,5,1] => [6,1,3,8,2,7,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,1,7,5,2,4,6] => [6,7,1,5,8,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,7,8,6,1,5,3] => [8,6,2,3,7,1,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,4,8,5,1,7,3,6] => [7,2,4,8,1,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,8,2,1,7,6] => [1,3,2,5,8,6,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,3,2,5,1,6,7] => [1,4,3,6,5,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,7,1,3,8,6,4] => [8,7,2,1,4,5,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,4,6,2,7,5,3,8] => [7,2,6,4,1,3,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,4,6,8,3,5,2] => [6,3,4,2,8,7,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,1,2,5,6,4,8] => [5,2,7,3,4,6,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,2,1,5,4,6,3] => [6,3,5,8,4,1,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,4,2,8,6,5,3,7] => [7,2,6,5,8,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,8,5,2,6,3,7] => [7,2,5,4,6,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,5,3,2,6,4,7] => [4,7,5,3,6,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,1,3,2,5,8,7] => [4,8,3,2,5,1,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,3,7,8,1,6,4] => [8,6,2,1,3,4,7,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,2,8,6,3,1,7,4] => [5,1,8,6,2,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,3,4,2,8,1,5] => [3,5,4,7,2,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,3,2,5,7,1,4] => [3,7,4,5,2,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,2,5,3,7,1,8,4] => [8,4,2,3,1,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,3,6,7,2,1,4] => [7,3,2,6,4,8,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,5,7,8,6,2,1,3] => [7,1,2,6,3,8,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,2,7,5,3,4,6,8] => [5,6,4,7,1,2,3,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,7,3,2,6,8,4,5] => [7,3,5,8,4,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,2,1,3,6,8,4,5] => [7,2,5,8,3,4,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,8,1,6,5,3,2] => [8,7,1,6,4,2,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,7,2,6,5,4,3,1] => [8,7,6,3,5,4,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,3,8,1,6,5,4,2] => [8,7,2,6,4,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,3,8,2,6,5,4,1] => [8,7,2,4,1,6,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,1,3,8,6,5,4,2] => [8,7,6,3,5,2,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,1,3,7,6,5,4,2] => [8,7,6,3,5,2,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,4,1,8,7,3,6,5] => [8,2,6,7,1,5,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,8,6,1,5,4,2] => [8,7,2,5,1,6,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,7,8,2,1,6,3] => [2,1,5,8,6,3,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,6,1,8,4,2,7] => [7,2,1,6,3,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,4,7,1,5,3,2] => [3,8,7,5,2,6,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,5,7,2,1,6,3,8] => [1,4,2,7,5,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,4,8,3,2,1,7] => [1,3,2,7,6,5,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,6,1,7,3,2,4] => [7,6,2,8,4,3,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,5,1,6,7,8,3,2] => [1,4,2,5,8,7,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,2,6,1,3,8,7] => [1,8,3,2,5,4,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,4,6,7,2,5,8,1] => [5,1,2,3,6,4,8,7] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,1,4,6,8,3,5,2] => [6,3,4,8,7,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,7,1,2,4,8,5,3] => [8,5,7,3,1,4,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,6,4,7,5,8,1] => [6,4,1,2,3,5,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,8,2,6,7,3,4,5] => [6,7,4,8,3,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,2,6,3,8,5,4] => [8,7,5,2,3,4,1,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,1,2,7,6,3,5,4] => [8,6,7,5,2,3,4,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,8,7,3,1,6,2,5] => [7,1,4,8,5,6,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,4,3,1,6,2,8,5] => [3,2,8,6,4,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,3,1,8,6,2,5] => [3,2,7,8,6,4,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,2,7,4,3,8,5] => [5,8,6,2,3,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,2,6,3,8,7,4] => [4,8,7,2,1,3,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,1,2,8,3,5,7,4] => [6,8,5,7,2,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,5,3,2,1,8,6,4] => [3,8,4,2,7,5,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,2,1,5,3,6,7,8] => [2,5,3,1,4,6,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[6,2,5,4,1,8,7,3] => [4,3,8,2,1,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,3,2,7,6,1,5] => [3,2,7,8,4,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,5,8,4,7,6,3,2] => [8,2,4,7,6,5,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,2,7,4,8,6,1,5] => [7,8,1,4,2,3,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,3,2,8,6,1,5] => [3,2,7,8,4,1,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,3,7,5,2,1,4] => [7,3,1,6,8,5,4,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,7,8,4,3,2,1,6] => [7,1,6,5,4,2,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,4,3,8,5,2,1,7] => [2,7,3,1,6,5,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,5,4,7,6,1,3] => [4,3,7,8,2,6,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,2,5,4,8,6,1,3] => [4,3,7,8,2,1,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,3,2,8,6,1,7] => [1,3,2,7,4,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,2,8,6,5,4,1,7] => [7,6,1,5,2,4,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,4,3,7,5,2,1,6] => [2,7,3,6,5,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,2,7,8,5,4,1,6] => [7,6,1,5,2,3,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,7,4,3,2,1,5] => [1,7,6,5,4,8,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,6,1,4,8,7,2,5] => [7,8,1,4,2,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,1,3,7,2,6,4] => [8,4,1,6,7,3,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,5,1,8,2,6,3] => [8,1,6,3,7,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,3,1,8,7,4,5] => [7,8,2,3,1,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,7,1,8,5,6,2] => [6,8,1,2,7,4,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,8,1,7,5,6,2] => [6,8,1,2,7,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,5,1,8,3,6,4] => [8,6,2,3,7,4,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,3,6,4,1,7,5,2] => [4,8,2,7,5,3,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,6,4,2,8,5,3] => [4,8,7,5,2,3,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,4,1,5,8,6,2] => [3,8,1,5,7,4,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,8,6,1,2,7,4,3] => [1,8,7,4,5,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,1,4,3,8,5,2] => [4,8,5,1,7,3,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,6,4,8,3,5,2] => [4,6,3,8,7,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,4,1,3,7,5,2] => [8,5,3,7,4,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,3,6,1,7,4,2] => [8,3,2,7,5,4,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,2,1,4,5,8,6,3] => [8,2,4,5,7,3,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,5,6,1,2,7,4,3] => [8,7,4,2,5,3,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,2,5,4,7,3,1] => [5,4,8,3,2,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,7,3,2,4,6,1] => [5,4,2,6,8,7,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,2,1,4,3,6,7] => [3,6,4,5,2,7,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,4,1,3,6,7,5] => [6,3,8,1,4,5,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,1,4,3,2,7,8,5] => [4,3,6,8,2,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,3,6,7,2,4,5] => [6,7,3,4,8,5,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,2,8,3,7,4,6,5] => [8,6,7,4,5,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,2,6,5,4,3,1,7] => [7,6,5,2,4,3,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,2,7,6,4,5,3,1] => [5,8,7,6,2,4,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,3,5,4,2,6,1] => [6,3,5,4,8,7,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,7,1,8,2,5,4,6] => [7,1,5,6,8,3,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,5,8,6,2,7,3,1] => [8,1,2,5,4,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,7,1,5,3,8,2] => [6,1,5,2,8,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,7,2,1,8,5,3] => [8,1,4,2,7,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,5,6,7,8,3,1] => [3,1,4,5,8,2,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,3,5,6,7,8,2] => [3,4,1,5,6,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,7,8,4,5,1,6,2] => [4,8,6,1,5,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,8,3,2,7,1,5] => [5,1,4,2,7,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,1,7,4,5,2,6] => [5,7,1,6,8,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,4,6,2,5,1] => [4,6,2,8,1,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,2,5,4,7,1,6] => [5,1,3,4,7,8,6,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,8,6,2,5,1,7,4] => [8,4,6,1,5,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,8,5,2,7,1,3] => [5,1,2,7,4,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,7,8,5,2,6,1,4] => [5,7,4,1,2,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,8,5,4,1,6,2] => [8,6,5,1,4,2,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,6,8,5,3,1,7,2] => [2,8,1,6,5,4,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,3,7,6,4,8,2] => [6,5,3,1,4,8,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,6,5,2,7,8,1,3] => [7,1,4,3,2,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,5,1,7,3,8,2] => [6,1,5,3,2,8,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,3,1,2,4,8,6] => [8,4,3,1,5,6,2,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,3,2,5,1,7,4,8] => [2,7,3,5,4,1,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,2,4,8,5,3,7] => [7,4,6,8,2,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,7,2,8,5,1,4,6] => [6,7,1,3,5,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,5,2,4,7,1,8] => [4,5,1,3,2,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,5,8,1,7,2,4] => [7,3,1,2,8,5,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,7,3,4,6,1,8] => [4,5,1,7,2,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,5,8,6,4,7,2] => [6,3,5,8,2,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,5,8,6,7,2,4] => [7,3,5,8,2,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,7,4,8,5,3,2] => [8,4,3,1,7,6,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,4,1,3,6,8,2] => [5,1,6,3,8,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,3,1,6,5,8,2] => [3,2,6,5,8,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,1,7,5,3,2,4] => [7,6,8,5,3,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,1,4,6,5,3,2] => [8,4,7,6,3,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,6,1,4,5,3,2] => [5,8,7,4,1,6,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,1,7,6,3,4,2,8] => [5,1,7,6,4,2,3,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,2,7,3,8,5,4,1] => [8,7,4,2,1,3,6,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,2,7,5,3,4,8,6] => [8,5,4,6,1,2,3,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,2,8,3,6,4,5,1] => [6,8,4,7,2,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,7,8,3,1,4,5] => [6,5,7,2,1,3,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,7,8,2,5,3,4,6] => [6,7,4,5,2,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,8,1,2,5,6,4] => [6,8,1,4,5,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,2,8,7,3,4,6,5] => [8,5,6,7,4,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,2,7,4,5,1,6,3] => [4,8,6,2,5,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,5,4,8,6,1,2,3] => [6,3,2,7,1,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,1,8,6,4,5,2,3] => [7,5,8,6,4,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,7,5,1,4,3,6,2] => [6,5,8,4,3,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,3,1,7,2,5] => [7,4,3,1,8,5,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,4,1,3,7,5,6,2] => [6,2,8,4,7,3,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,8,5,7,4,2,3,6] => [6,3,7,5,8,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,5,1,3,8,6,7,2] => [1,6,2,8,4,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,6,8,5,3,4,7] => [6,3,7,5,8,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,8,7,3,1,2,4] => [1,6,2,7,5,8,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,5,3,8,1,2,4] => [6,4,1,7,3,2,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,2,3,4,7,1,8,5] => [8,2,3,4,1,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,8,5,7,3,1,2,4] => [6,1,7,5,3,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,1,4,2,6,8,7,3] => [3,8,5,1,7,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,3,2,4,7,1,8,5] => [2,8,3,4,1,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,6,8,4,2,3,7] => [2,6,3,7,5,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,8,3,6,1,2,4] => [1,6,4,7,2,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,8,6,2,4,3,7] => [2,7,5,6,4,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,7,2,6,8,4] => [6,2,8,3,5,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,8,6,2,4,3,7] => [7,5,1,6,4,8,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,6,3,7,1,2,4] => [1,6,4,7,3,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,2,4,8,6,7,3] => [6,2,8,4,7,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,4,2,6,8,7,3] => [3,2,8,5,7,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,6,3,8,1,2,4] => [1,6,4,7,3,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,7,5,3,1,2,4] => [6,1,7,5,8,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,2,5,3,6,8,7,4] => [3,8,5,7,1,2,4,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,8,7,2,1,5,3,4] => [4,7,1,8,5,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,1,6,5,3,4,2] => [6,8,7,5,3,1,4,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,7,3,2,1,4,6,5] => [4,3,8,5,6,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,6,2,8,5,7,1] => [1,6,2,3,8,4,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,6,2,3,5,1,7,8] => [3,1,4,6,5,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,4,8,7,2,1,5,3] => [2,5,1,8,6,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,2,3,7,5,6,4] => [6,8,7,3,4,5,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,8,4,3,6,7,1,5] => [3,7,4,5,8,1,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,7,8,2,4,3,5] => [7,5,2,6,3,8,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,2,8,5,3,7,6] => [5,1,8,6,7,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,8,4,2,5,1,7,6] => [4,1,3,5,8,6,7,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,8,5,6,4,3,2,7] => [3,7,6,5,4,8,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,1,5,7,6,8,2,3] => [1,7,3,5,4,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,8,3,2,5,1,4] => [5,4,7,2,1,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,5,2,7,4,3,6,8] => [6,5,2,7,1,3,4,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,3,8,4,6,2,7] => [5,7,3,1,6,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,5,8,7,1,3,2,4] => [7,5,2,1,6,8,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[2,7,3,5,1,6,8,4] => [6,3,4,8,1,5,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,6,5,2,7,4,8] => [7,5,2,4,1,3,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,7,2,5,6,8,3,4] => [4,7,5,8,3,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,2,4,5,3,7,8] => [4,6,3,5,1,2,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,3,2,8,4,5,7,6] => [8,2,5,6,7,1,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,6,8,2,4,3,5,7] => [6,4,5,2,7,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,7,2,5,3,4,8] => [6,7,4,2,5,1,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,8,3,6,7,4,5] => [7,5,8,4,6,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,2,5,3,4,8,6] => [8,5,3,4,6,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,1,5,6,2,3,8,4] => [8,5,3,6,2,4,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,5,6,2,3,8,4] => [8,5,3,6,4,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,5,3,4,8,2,7] => [4,5,3,7,1,8,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,4,1,5,6,2,3] => [7,5,3,8,4,1,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,8,1,3,6,7,2,4] => [7,4,1,5,8,3,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,2,5,4,8,3,6,7] => [4,3,6,7,8,1,2,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[3,5,4,7,8,1,2,6] => [3,1,2,6,7,4,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,6,4,7,8,2,3,5] => [3,6,2,7,4,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,7,3,8,5,1,4] => [7,8,4,2,1,3,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,3,7,8,5,6,2,4] => [7,5,3,8,2,6,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,1,7,4,6,2,3,5] => [6,4,7,8,5,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,8,7,1,2,3,6] => [1,5,2,6,7,8,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,1,8,5,7,2,3,6] => [1,6,4,7,8,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,5,4,1,8,3,7] => [7,4,3,1,2,8,5,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,2,5,1,4,8,3,7] => [5,7,2,3,1,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,4,1,3,8,2,7] => [5,7,3,2,1,8,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,5,4,2,8,1,7] => [5,2,4,3,1,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,3,8,7,4,2,6,5] => [5,8,6,7,2,4,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,4,3,1,5,2,6] => [7,5,4,3,6,8,2,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,2,5,1,4,6,7,3] => [5,6,2,3,8,4,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,4,5,1,6,7,2] => [3,6,1,4,8,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,4,1,3,6,7,2] => [5,6,3,2,8,4,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,3,1,7,5,6,4,2] => [5,8,2,7,6,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,7,6,5,3,1,2] => [7,8,2,6,5,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,1,4,5,7,6,3,2] => [8,3,4,7,6,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,4,1,8,5,7,6,3] => [8,2,5,7,1,6,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,7,3,1,6,5,4] => [8,4,7,2,5,6,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,4,2,3,7,6,5] => [3,8,7,4,5,6,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,2,8,7,4,6,5] => [8,1,6,7,5,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,5,1,2,4,3,7,6] => [5,8,3,4,2,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,1,8,7,6,4,5] => [7,8,6,1,2,5,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,8,7,3,1,5,6] => [1,6,5,7,8,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,3,4,6,7,2,5] => [7,3,4,5,8,2,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,8,2,6,7,1,5] => [7,1,2,4,5,8,6,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,6,8,2,5,1,7,4] => [8,4,1,2,6,5,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,2,1,7,5,6,3] => [6,2,8,3,7,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,7,5,6,4,1,3] => [7,4,8,6,2,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,5,4,1,7,2,3] => [7,1,8,5,4,3,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,1,8,2,7,5,6,4] => [6,8,1,7,4,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,7,1,6,4,2,3] => [7,2,8,6,4,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,4,7,3,6,5,1] => [8,3,5,7,6,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,7,2,1,6,5,3] => [2,8,4,7,5,6,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,4,7,6,5,2,3] => [7,8,3,6,5,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,4,7,1,3,6,5,2] => [2,8,5,7,4,6,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,4,7,6,8,1,5] => [7,5,1,2,3,4,8,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,8,1,6,5,2,7,3] => [8,1,6,5,3,4,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,2,6,3,8,5,7,1] => [1,6,3,8,2,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,2,6,7,1,8,3] => [1,4,2,8,3,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,6,4,7,3,1,5] => [4,7,6,3,8,1,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,8,6,5,2,7,4] => [8,6,1,5,4,7,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,3,1,5,2,6,7,4] => [2,6,4,8,3,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,3,2,4,1,7,6] => [4,3,1,5,8,6,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,6,8,4,3,5,1] => [6,5,3,8,2,1,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,3,2,4,8,1,7] => [4,3,5,2,1,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,4,6,1,3,8,7] => [3,8,2,1,5,4,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,2,3,4,6,8,1,5] => [7,2,3,4,5,1,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,4,6,7,5,1,2] => [7,2,3,4,8,6,5,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,8,3,4,7,5,2,1] => [8,3,1,4,7,6,5,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,7,4,6,8,2,5,1] => [6,3,4,1,2,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,1,6,8,3,2,5] => [7,1,6,4,8,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,5,2,8,1,7,3,6] => [1,7,2,8,3,5,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,5,2,8,6,1,4] => [7,3,8,1,4,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,6,1,2,7,3] => [2,1,8,5,6,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,5,2,7,3,1] => [8,2,5,4,3,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,1,6,4,7,5,2,3] => [4,7,3,8,6,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,7,6,4,8,1,3] => [1,7,5,4,2,3,8,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,6,2,3,5,1,7,4] => [8,3,4,6,5,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,2,5,7,4,1,3,6] => [6,3,7,2,5,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,1,3,5,6,2,8,4] => [4,8,3,6,2,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,8,4,7,1,5,2] => [4,8,2,1,6,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,1,4,3,2,8,5,6] => [4,3,7,8,2,5,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,2,1,4,3,8,6] => [3,5,1,8,4,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,4,2,5,6,3] => [6,4,8,5,7,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,5,8,1,7,3] => [4,2,8,3,1,6,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,3,8,5,6,2,1,4] => [7,6,2,4,1,8,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,4,8,3,1,5,6,2] => [2,6,4,8,5,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,5,8,3,7,4,2] => [3,8,5,1,7,6,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,6,3,5,8,7,4,1] => [8,4,2,7,1,3,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,5,3,7,2,1,6] => [4,1,3,7,6,8,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,4,8,6,5,3,2,1] => [8,7,2,1,6,5,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,4,8,5,6,3,1,2] => [7,2,4,1,8,6,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,4,1,3,5,6,2] => [5,6,3,8,4,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,3,4,1,5,6,2] => [3,6,4,8,5,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,3,8,1,5,6,4] => [6,8,2,3,5,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,4,8,7,3,2,1,5] => [7,2,1,6,5,8,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,7,4,8,6,3,1,5] => [7,3,6,2,8,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,8,2,3,1,7,5] => [4,2,5,1,8,6,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,1,8,3,5,6,4] => [6,8,2,5,7,3,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,1,6,3,8,2,4,7] => [4,6,3,1,7,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,5,1,4,8,7,2] => [8,5,1,3,2,7,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,6,2,8,4,1,5] => [7,2,4,6,3,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,5,1,8,4,7,2,3] => [7,5,2,1,8,6,3,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,5,4,8,1,6,2,3] => [7,3,2,8,5,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,3,5,8,7,1,2,6] => [2,1,3,6,7,8,5,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,5,6,8,1,4,2,7] => [2,7,1,5,3,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,5,8,2,1,6,7] => [2,1,3,6,5,7,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,7,2,3,1,5,8] => [4,2,6,5,1,7,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,6,3,1,4,2,5] => [7,5,4,6,1,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,6,3,5,1,2,4] => [6,4,7,1,8,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,2,8,5,4,6,3,1] => [5,4,8,7,2,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,1,8,4,7,2,3,5] => [6,4,7,1,8,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,3,7,1,8,2] => [1,4,3,2,8,6,5,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,2,8,4,3,7,1] => [1,6,5,2,8,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,3,6,5,8,4,2] => [5,4,8,3,7,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,4,3,6,8,2,1] => [1,4,3,5,2,8,7,6] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,3,4,8,2,7,1] => [3,1,4,2,6,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,3,8,6,2,7,1] => [2,1,6,3,5,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,8,2,4,3,6,1] => [1,6,4,5,2,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,2,4,8,3,7,1] => [4,1,6,2,8,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,8,2,3,5,1] => [2,5,1,6,3,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,5,2,4,8,1,6] => [4,5,1,3,7,2,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,5,2,3,8,6,1] => [8,1,4,3,5,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,3,2,5,8,1] => [2,5,4,1,6,3,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,3,2,8,4,6,1] => [3,1,6,8,4,2,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,7,2,8,4,6,1] => [6,1,8,2,4,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,7,2,5,8,6,1] => [1,8,2,4,5,3,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,5,3,2,6,4,8,1] => [3,6,4,2,5,1,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,2,6,3,7,5,1] => [2,8,5,3,4,7,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,4,6,2,3,8,5,1] => [2,8,4,5,3,1,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,6,2,8,3,4,1] => [6,2,8,4,3,1,7,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,7,6,2,3,8,5,1] => [8,1,4,5,3,2,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,3,2,5,8,1,4] => [3,7,4,5,2,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,8,5,4,7,2,1] => [5,4,1,8,2,7,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,4,6,1,8,7,3,5] => [7,2,3,8,1,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,6,3,8,7,1,5] => [7,2,3,8,1,4,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,5,8,7,1,3] => [4,2,3,7,8,1,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,6,8,3,7,1,5] => [5,2,3,7,8,1,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,6,8,1,7,3,5] => [7,2,3,8,1,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,5,1,8,7,3] => [4,2,3,8,1,7,5,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,6,5,8,3,7,1] => [4,2,3,6,8,1,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,6,5,8,1,7,3] => [4,2,3,8,1,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,8,5,1,7,3] => [3,8,2,6,1,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,8,7,1,5,3] => [3,8,2,6,7,1,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,6,8,7,1,3,5] => [6,2,3,7,8,1,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,6,5,1,8,3,7] => [7,2,4,1,3,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,6,5,3,8,1,7] => [5,2,4,1,3,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,6,8,5,3,1,7] => [3,7,2,6,1,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,8,7,3,1,5] => [3,7,2,6,8,1,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,7,5,2,1,3,6] => [6,1,5,7,4,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,8,6,5,3,2,7,4] => [5,8,6,4,3,7,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,3,5,8,2,4,7] => [6,3,4,2,7,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,1,7,8,5,3,2] => [4,1,2,8,7,6,3,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,1,2,7,8,4,5,3] => [6,4,8,7,2,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,3,2,7,8,5,4] => [5,8,3,7,2,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,3,1,7,4,8,2] => [3,1,6,5,2,8,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,3,7,1,6,5,2] => [8,1,3,7,5,6,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,2,6,5,1,4,3] => [8,6,7,3,5,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,3,2,1,7,6,4] => [3,1,8,4,7,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,3,8,1,7,6,2] => [2,1,8,3,7,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,3,8,2,7,6,5,1] => [8,1,7,2,4,6,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,2,7,6,5,3,1] => [8,7,1,6,3,5,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,2,6,5,4,1,3] => [7,8,6,3,1,5,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,3,7,1,5,4,2] => [8,3,7,5,2,6,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,3,7,6,2,5,1] => [6,8,1,3,7,5,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,6,4,2,5,3,7,8] => [6,4,3,5,1,2,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,4,6,3,7,8] => [4,6,3,1,2,5,7,8] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,8,6,2,3,7,4,5] => [7,8,4,5,3,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,2,8,6,3,4,7] => [6,2,7,5,8,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,8,2,7,4,5] => [7,3,8,2,5,6,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,3,8,2,5,6,7] => [3,2,5,6,7,8,1,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,7,2,3,8,5,4,6] => [7,6,8,3,4,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,8,4,2,5,6,7] => [5,2,4,6,7,8,1,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,6,2,8,5,4,3,7] => [7,6,5,2,8,1,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,7,2,3,8,6,4,5] => [7,8,6,3,4,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,3,8,2,7,4,6] => [7,2,8,3,5,6,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,7,3,6,8,4,5] => [7,5,8,4,1,2,3,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,2,3,6,8,4,5] => [7,5,8,3,4,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,8,3,2,5,6,7] => [2,5,4,6,7,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,7,2,5,8,3,4,6] => [6,4,7,8,3,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,2,3,5,8,1,7,4] => [4,8,2,3,1,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,4,8,1,6,7,3] => [3,6,1,8,2,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,4,5,7,3,1,8] => [3,4,2,7,1,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,6,3,4,7,1,8] => [4,2,5,1,3,7,6,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,7,5,6,8,4,2] => [4,5,3,8,2,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,6,7,4,5,8,2] => [5,3,6,2,4,8,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,6,3,4,2,7,8] => [4,2,6,5,1,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,6,3,4,7,2,8] => [4,2,5,3,7,1,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,3,6,4,2,7,8] => [6,3,2,5,1,4,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,7,5,6,8,3,4,2] => [3,6,4,2,8,7,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,3,7,5,2,8,6,4] => [4,8,7,2,5,1,3,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,7,2,5,8,6,4] => [8,5,7,2,4,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,3,7,4,6,2,8] => [5,2,7,3,6,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,6,3,7,4,2,8] => [2,7,4,3,6,1,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,7,3,6,4,8,2] => [2,6,4,5,3,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,7,5,6,2,8,4] => [4,8,6,2,5,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,5,7,4,1,3,8,6] => [2,8,5,1,4,6,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,7,3,1,8,5,2,4] => [3,7,1,8,6,4,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,3,5,1,7,6,2,4] => [7,2,3,8,6,4,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,4,8,6,3,1,5] => [7,3,6,8,2,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,6,4,1,8,7,5] => [8,4,1,2,3,7,5,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,4,5,2,1,8,6,3] => [2,8,4,3,7,5,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,7,5,2,1,8,6,3] => [8,1,4,3,7,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,3,6,2,1,7,4] => [3,5,2,8,6,4,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,5,1,8,3,2,7,6] => [1,5,2,8,6,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,1,2,4,8,7,5] => [8,1,7,3,4,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,3,8,4,1,7,6] => [5,2,8,1,3,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,3,1,2,4,8,7,5] => [2,8,7,3,4,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,6,8,4,5,1,2,7] => [6,4,1,2,7,5,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,6,5,3,4,1,8] => [5,7,6,2,4,3,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,8,4,5,1,3,7] => [6,4,7,2,1,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,3,1,7,8,5,6,4] => [6,4,8,1,2,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,8,5,1,4,3,6] => [7,5,6,2,4,1,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,7,1,4,2,3,5] => [6,7,4,5,2,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,7,1,4,3,2,5] => [7,6,4,1,5,8,3,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,8,2,5,3,1,4,7] => [6,3,5,1,7,4,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,3,8,2,1,6,7] => [1,3,2,6,5,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,4,1,8,2,6,5] => [3,8,1,6,7,4,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,7,2,1,8,4,6,5] => [8,1,3,6,7,4,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,5,1,2,7,6,3,4] => [7,8,6,3,2,4,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,8,2,1,7,6,4,5] => [7,8,1,3,6,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,4,7,3,6,2,8] => [3,2,5,7,6,1,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,7,3,6,8,4,5,2] => [6,4,8,3,2,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,8,2,7,3,5,1] => [6,1,2,8,4,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,6,3,5,1,8,2] => [4,8,1,6,5,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,8,3,6,1,5,4,2] => [8,3,7,5,1,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,5,7,8,4,6,1,3] => [7,2,5,3,8,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,5,6,2,1,4,8] => [6,5,1,3,7,4,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,2,1,7,4,5,3,8] => [5,7,2,6,3,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,6,4,7,5,3,8] => [7,4,3,6,1,2,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,5,6,3,8,4,2,1] => [2,8,4,3,1,7,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,5,4,2,1,6,7,3] => [4,6,3,2,8,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,8,4,7,5,1,3] => [4,2,7,8,6,1,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,5,1,4,8,3,2] => [5,1,8,7,4,3,2,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,4,1,6,5,3,8,2] => [2,6,5,4,8,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,8,2,7,3,6,4,1] => [1,8,5,7,3,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,6,5,7,3,8,4,2] => [3,2,8,5,4,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,4,1,8,2,6,3] => [8,6,3,2,7,4,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,4,1,8,2,7,5,3] => [2,8,7,5,1,6,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,8,5,3,2,6,1,4] => [5,4,7,3,1,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,2,5,1,7,6,4,3] => [3,8,7,2,6,4,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,4,3,8,2,5,1] => [4,3,1,6,2,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,4,7,8,6,1,3,5] => [6,7,2,3,8,1,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,6,5,2,4,1] => [6,2,8,7,1,5,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,2,5,3,1,7,8] => [1,6,3,5,4,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,5,6,3,2,7,8] => [3,1,6,5,2,4,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,5,6,4,3,2,8] => [3,7,6,5,4,1,2,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,6,5,3,1,8,4,2] => [4,8,7,5,3,2,1,6] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[7,8,6,4,3,1,5,2] => [8,6,5,4,1,7,3,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[4,1,7,8,6,5,3,2] => [3,8,1,7,6,5,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,5,3,7,2,1,4] => [4,1,7,6,3,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,5,8,3,6,4,1] => [3,8,5,2,7,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,8,2,6,5,3,1] => [8,2,7,4,1,6,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,4,8,2,6,3,1] => [3,2,8,5,1,7,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,3,6,5,7,8,1,4] => [4,3,7,1,2,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,4,1,2,6,7,5] => [2,6,3,8,4,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,8,4,1,5,6,2] => [6,2,4,8,5,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,4,5,1,8,3,6] => [3,7,2,4,8,5,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,2,3,5,7,6,1] => [1,8,3,4,5,7,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,5,2,3,8,6,7,1] => [1,6,2,8,3,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,7,4,8,5,3,2,1] => [1,8,3,2,7,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,3,5,6,1,7,8,2] => [2,1,3,6,4,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,5,2,6,4,7,8,1] => [5,1,3,2,4,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,2,8,5,7,6,3] => [1,8,5,7,6,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,4,5,8,1,3,7] => [3,6,4,1,2,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,4,1,3,5,8,2,7] => [4,5,2,7,1,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,7,5,8,1,3,6] => [6,2,4,7,1,3,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,6,4,8,7,5,2] => [3,8,1,7,4,6,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,1,3,7,8,5] => [6,1,8,2,4,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,5,4,2,7,6,3,1] => [3,2,8,7,4,6,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,2,1,4,6,7,3] => [3,5,1,6,8,4,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,1,2,5,7,3] => [6,2,8,4,5,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,8,4,2,6,5,1] => [4,8,5,1,2,7,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,6,2,8,7,1,3,4] => [6,1,7,2,8,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,1,4,3,5,6,2] => [5,4,6,8,3,1,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,7,2,8,1,5,4] => [8,4,1,2,6,3,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,7,1,3,5,8,4] => [6,8,4,1,2,5,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,7,1,8,2,5,4] => [8,6,1,2,7,4,3,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,4,1,8,7,2,6,5] => [8,1,2,6,7,5,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,1,5,7,2,8,6,4] => [8,1,3,7,5,2,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,8,1,4,7,2,6,5] => [8,1,4,6,7,3,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,1,3,2,7,6,5] => [1,8,4,7,3,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,8,3,2,7,6,5] => [1,8,4,7,5,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,8,1,2,7,6,5] => [1,8,2,7,4,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,8,2,1,7,6,5] => [1,8,2,4,7,5,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,4,2,7,1,6,5] => [3,8,1,4,6,7,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,8,2,4,7,1,6,5] => [8,1,3,4,6,7,5,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,2,4,8,7,1,6,5] => [8,1,6,7,2,3,5,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,3,1,7,6,5] => [1,8,4,7,2,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,2,1,3,7,6,5] => [1,8,3,7,4,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,1,3,7,6,5] => [1,8,7,2,4,5,6,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,6,4,7,1,2,8,3] => [1,8,5,3,2,6,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,6,7,5,8,2,3,1] => [2,6,1,4,3,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,2,7,6,8,1,4,5] => [6,7,1,4,2,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,7,2,8,3,1,4,5] => [6,3,5,1,7,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,3,1,2,8,4,5] => [7,3,8,4,5,2,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,2,7,8,4,1,3,5] => [6,7,5,2,1,3,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,3,7,8,4,1,2,5] => [6,7,2,1,5,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,2,5,1,3,7,8,6] => [6,2,1,3,8,4,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,1,7,8,5,2,6] => [7,1,2,6,4,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,7,8,5,2,6] => [1,7,6,3,4,8,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,1,8,5,2,7,6] => [2,1,5,8,6,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,3,5,8,4,2,1] => [4,8,3,2,1,7,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,5,1,3,2,7,8,6] => [4,1,6,2,8,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,3,7,8,5,4,1,6] => [7,6,5,1,2,3,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,3,5,6,1,7,2,4] => [7,2,3,8,5,4,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,8,1,2,6,7,3] => [1,6,2,8,4,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,2,5,4,1,6,7] => [6,1,3,5,4,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,4,5,2,6,1,7,3] => [2,8,4,3,6,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,8,2,3,7,5,1] => [8,1,4,2,5,7,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,5,7,2,3,6,1,8] => [1,4,2,5,7,6,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,3,4,1,5,6,8] => [3,5,1,4,6,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,6,3,5,7,8,1] => [4,1,5,2,3,6,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,4,8,5,6,2,7,3] => [4,8,2,6,5,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,8,5,6,1,7,3] => [4,8,2,6,1,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,5,8,4,7,1,2] => [3,7,2,1,5,8,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,7,4,5,1,6,3] => [4,8,6,5,7,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,3,8,5,2,6,7,4] => [6,4,8,2,5,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,8,4,5,1,6,3] => [4,8,6,2,5,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,3,5,1,7,8,4] => [6,2,3,4,1,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,4,3,2,7,8,5] => [4,3,6,2,8,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,5,3,2,1,6,7,4] => [4,3,6,2,8,5,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,5,2,3,6,8,4] => [6,8,4,3,5,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,5,2,3,6,8,4] => [6,8,4,2,3,5,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,2,5,3,6,7,4] => [6,4,8,2,3,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,7,5,3,8,2,1,4] => [4,1,7,6,3,2,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,2,6,8,3,7,1,4] => [5,3,1,7,8,2,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,2,5,8,6,7,1,3] => [1,7,3,5,8,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,7,2,4,3,5,6] => [6,4,5,7,8,2,3,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,8,2,4,7,5,6] => [7,8,2,4,5,6,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,7,3,2,4,6,5,8] => [3,7,4,5,6,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,7,3,1,4,2,5,6] => [6,4,3,5,7,8,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,2,8,7,4,1,5,6] => [6,1,5,7,8,2,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,1,7,4,6,5,8] => [1,7,2,5,6,3,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,2,6,5,1,7,8,4] => [6,1,4,2,3,8,5,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,3,2,6,7,1,8,4] => [2,4,1,8,3,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,8,6,7,4,1,5] => [7,6,1,4,8,2,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,6,2,7,3,1,5] => [2,7,4,6,3,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,6,2,8,7,1,5] => [1,7,2,3,8,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,4,7,6,5,1,2] => [7,8,3,6,1,5,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,4,2,6,3,5,1] => [6,3,8,4,1,7,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,2,7,8,6,4,5,1] => [6,3,8,1,7,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,7,5,6,8,4,1] => [4,5,1,3,8,2,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,8,6,3,2,4,1] => [6,1,5,2,8,7,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,4,2,1,7,8,3] => [4,6,3,2,1,8,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,4,2,1,7,6,3,8] => [7,3,2,1,6,4,5,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[4,1,6,5,2,7,8,3] => [1,6,4,3,8,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,4,1,6,7,2,8,3] => [4,2,1,8,6,3,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,8,5,3,1,7,2,4] => [7,4,1,8,5,3,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,2,6,3,8,7,1,4] => [7,3,1,8,2,4,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,6,1,7,3,4,2,5] => [5,7,6,8,3,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,3,6,7,4,2,5] => [7,6,3,4,8,5,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,3,5,2,7,8,4] => [6,3,4,2,8,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,3,7,2,6,4,8] => [7,3,5,1,6,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,6,7,2,4,3,5] => [7,5,6,3,8,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,5,6,8,2,4,3] => [3,8,6,4,7,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,7,1,5,2,4,8,3] => [6,8,5,3,1,4,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,1,5,2,4,3,8] => [7,5,6,3,4,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,6,3,5,4,2,8] => [7,4,6,5,2,3,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,7,3,5,4,8,2] => [6,4,2,5,3,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,8,3,6,4,5,2] => [6,8,4,2,7,5,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,5,1,6,8,3,2] => [2,5,3,8,7,4,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,8,5,3,1,4,2] => [1,8,6,5,2,7,4,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,4,6,2,5,3,7,8] => [2,6,4,5,1,3,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,3,2,5,4,7,8] => [3,6,4,5,1,2,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,8,2,5,4,7,3] => [6,5,2,8,4,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,4,2,6,3,7,8] => [6,4,3,1,2,5,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,6,8,2,7,5,4,3] => [2,8,7,6,4,5,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,4,3,2,6,8,5] => [4,3,6,8,5,1,2,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,4,7,2,6,8,3] => [3,2,6,8,5,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,7,6,2,8,5,4] => [8,7,5,2,4,1,3,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,7,6,2,8,4,3,5] => [7,6,8,4,3,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,5,2,8,4,3,7,6] => [5,2,8,6,7,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,8,4,3,6,5,7] => [4,7,5,6,8,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,8,5,6,3,4,7] => [6,4,7,5,8,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,3,5,2,8,6,4] => [4,8,3,7,5,1,2,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,8,3,2,7,4,6] => [4,2,7,8,5,6,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,7,6,4,8,2,5,3] => [4,8,6,3,2,7,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,4,8,6,5,2,7,3] => [8,6,2,5,4,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,8,2,6,5,4,7] => [7,6,2,4,5,8,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,5,2,7,6,4,8,3] => [2,6,5,4,8,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,8,5,4,2,6,7] => [6,5,2,4,7,8,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,2,8,7,5,4,6] => [7,6,8,2,5,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,8,6,5,4,3,7] => [7,6,5,4,8,1,2,3] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,1,3,4,6,5,2,7] => [7,3,4,6,2,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,3,1,4,6,5,2,7] => [2,7,4,6,3,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,3,1,2,6,4,7] => [7,4,3,1,5,6,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,8,1,7,5,2,6,3] => [8,1,6,5,7,3,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,1,4,2,6,3,7] => [7,5,3,4,2,6,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,5,4,2,6,3,7] => [7,5,4,2,3,6,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[8,5,2,4,1,6,3,7] => [7,3,5,4,2,6,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,8,4,1,3,2,5] => [7,5,6,4,2,1,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,6,8,4,1,3,5,2] => [6,8,5,4,2,1,7,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,8,7,5,4,1,2,6] => [6,7,5,1,4,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,6,8,4,1,5,2,3] => [7,8,5,4,2,1,6,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,1,4,8,6,3,5,2] => [6,8,3,7,5,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,1,6,5,3,4,7,2] => [5,6,4,3,8,2,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,2,5,3,4,7,1] => [5,6,3,4,2,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,1,5,3,6,2,4] => [5,7,4,8,3,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,1,3,5,4,7,2] => [6,4,5,8,3,2,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,1,4,8,3,6,5,2] => [8,3,5,7,6,2,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,8,5,2,4,3,6,1] => [6,4,5,3,1,8,7,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,8,2,5,4,6,1] => [6,2,4,5,1,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,2,5,3,7,6,1] => [4,2,8,3,5,7,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,8,2,6,3,1,5] => [2,7,4,6,1,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,3,1,6,4,2,5] => [3,7,6,8,4,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,3,1,4,6,5,2] => [3,8,5,7,4,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,3,2,7,5,6,1] => [3,2,6,8,4,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,4,1,7,8,5,3,2] => [2,4,1,8,7,6,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,8,6,4,2,5,1,3] => [5,7,4,1,8,6,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,1,7,3,5,6,2,4] => [7,4,5,8,6,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,5,2,4,6,1,3] => [7,4,5,3,8,6,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,3,1,7,6,4,2,8] => [7,2,1,6,5,3,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,3,2,1,6,4,8] => [4,3,7,5,2,6,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,6,5,3,1,4,2,8] => [7,5,4,6,3,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,8,6,4,3,2,7,5] => [5,4,8,6,3,7,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,7,6,4,2,5,3] => [8,6,5,7,4,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,4,6,7,5,3,2,1] => [3,8,2,7,6,5,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[1,4,8,6,7,5,3,2] => [4,8,7,2,6,5,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,6,2,5,8,4,3,1] => [4,8,7,3,2,1,6,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,7,3,6,8,5,4,2] => [4,8,7,3,2,6,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,6,2,5,7,4,3,1] => [4,8,7,3,2,6,5,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,1,3,6,8,5,4,2] => [4,8,7,3,6,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,8,3,6,7,5,4,2] => [4,8,7,3,6,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,1,7,6,4,5,3,2] => [5,8,7,6,4,2,3,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,1,8,6,4,5,3,2] => [5,8,7,6,4,2,1,3] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[1,6,2,7,4,5,3,8] => [5,7,6,3,1,2,4,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,8,2,6,4,3,5,7] => [6,5,7,3,4,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,7,2,5,4,6,3,8] => [5,4,7,3,6,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,7,2,8,3,4,1] => [6,2,1,8,4,3,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,7,2,8,1,4,3] => [8,4,2,1,6,3,7,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,7,5,8,1,4,3] => [8,6,4,2,1,3,7,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,5,7,3,8,1,4,2] => [4,2,1,8,6,3,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,7,4,8,2,5,1] => [4,6,2,1,3,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,7,4,8,1,5,2] => [4,8,2,1,6,3,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,7,4,8,1,5,3] => [4,8,6,2,1,3,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,7,6,4,2,5,3,1] => [8,5,4,7,6,3,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[6,8,4,5,7,3,2,1] => [3,1,4,8,7,6,5,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,7,5,1,4,3,8,2] => [6,5,1,8,4,3,2,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,8,5,1,4,3,6,2] => [6,5,8,4,3,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,7,6,8,3,5,1,4] => [5,7,3,2,8,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,1,5,3,8,6,4] => [4,8,2,7,3,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,2,7,6,1,3,4] => [6,1,7,8,3,5,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,1,8,7,3,4,2,6] => [5,1,7,6,8,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,3,1,5,8,6,7] => [2,3,1,7,8,4,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,8,7,5,3,1,6] => [7,6,2,5,8,1,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,5,1,4,3,8,7] => [5,8,4,1,3,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,1,2,4,3,8,7] => [5,8,3,4,2,1,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,5,3,1,2,8,7] => [8,1,5,4,3,2,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,8,7,5,3,1,2,6] => [6,7,1,5,4,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,7,5,3,1,4,2] => [1,8,6,5,7,4,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,7,5,6,3,1,4,2] => [8,6,5,3,7,4,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[2,1,4,8,7,3,6,5] => [8,6,7,1,3,5,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,8,7,3,1,2,6,5] => [8,1,5,4,6,7,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,4,1,2,6,5] => [3,8,5,4,6,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,7,3,4,6,5,1] => [8,4,5,7,6,1,3,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,8,7,3,6,5,1,4] => [7,8,4,6,5,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,1,2,6,5,3,4] => [7,8,6,3,4,5,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,7,1,2,4,3,6,5] => [5,8,3,4,6,7,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,8,7,3,4,6,5] => [8,5,6,7,1,4,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,7,5,1,2,4,3,6] => [7,4,5,6,3,8,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,7,5,6,3,4,1] => [6,4,8,7,5,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,7,3,1,4,6,5] => [4,8,5,6,7,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,1,2,6,8,7,5] => [2,1,8,5,7,3,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,7,5,6,3,1,4] => [7,6,4,8,5,1,3,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,8,7,5,6,1,4,3] => [8,6,4,7,5,1,3,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,8,7,5,1,4,3] => [2,8,6,7,5,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,7,5,1,2,4,3] => [8,5,1,6,7,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,5,6,1,2,4,3] => [8,5,6,3,7,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,1,2,4,6,5,3] => [8,5,7,3,4,6,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,4,8,7,3,6,5,1] => [8,5,7,2,6,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,2,4,3,6,5,1] => [4,8,3,5,7,6,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,8,7,1,2,6,5,3] => [8,1,7,4,5,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,5,3,1,2,6,4] => [8,5,4,6,3,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,5,3,6,4,1,2] => [4,7,3,8,6,5,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,1,2,3,5,4,6,8] => [6,2,3,4,5,7,1,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,1,2,6,4,5,3,8] => [5,7,6,2,3,4,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,2,4,3,5,6,8] => [5,2,3,4,6,7,1,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[7,5,4,2,8,3,1,6] => [7,4,3,2,6,1,8,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,1,6,8,5,7,2,4] => [3,7,1,5,8,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,2,1,8,4,6,3] => [6,1,8,3,7,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,8,6,4,3,1,5] => [7,6,5,8,2,1,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,8,7,4,2,1,5] => [7,6,2,1,5,8,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,6,3,2,8,4,1,5] => [3,7,4,6,2,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,1,3,2,4,5,7] => [5,3,4,6,7,2,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,7,3,5,8,6,2] => [1,8,4,5,3,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,8,1,3,2,6,7] => [6,4,2,1,5,7,8,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,8,3,5,7,2,4,6] => [6,3,4,7,8,5,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,6,2,1,3,7,5,4] => [8,3,7,4,5,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,7,3,6,8,2,4] => [2,7,4,5,3,8,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,6,2,5,7,1,3] => [2,7,4,5,3,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,3,4,7,6,8,2,5] => [7,5,2,3,4,8,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[8,1,3,6,7,4,2,5] => [7,6,3,4,8,2,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,2,4,7,8,5,3,6] => [7,6,3,4,8,1,2,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,4,7,6,8,2,5] => [7,1,5,3,4,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,7,3,6,8,2,4] => [7,4,1,5,3,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,8,2,4,5,1,3] => [7,4,1,5,2,8,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,6,2,4,7,1,3] => [1,7,4,5,3,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,2,6,5,7,1,4] => [7,5,1,3,4,8,6,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,8,3,6,7,4,1,5] => [7,6,3,4,8,1,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,7,2,5,6,3,1,4] => [7,6,3,4,8,5,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,1,6,4,3,2,5] => [7,6,5,8,3,4,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,8,2,7,5,4,3,6] => [7,6,5,8,3,4,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,8,1,7,5,4,2,6] => [7,6,1,5,8,3,4,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,6,1,7,3,2,4] => [1,7,6,8,4,3,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,1,2,8,4,3,5] => [7,6,8,3,1,4,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,3,8,6,5,4,7] => [7,6,1,5,8,2,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,2,1,7,5,4,3,6] => [7,6,2,5,8,3,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,3,2,8,6,5,4,7] => [7,6,2,5,8,1,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,1,7,6,8,2,5] => [7,1,2,5,4,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,7,1,8,4,3,6] => [2,7,6,8,1,4,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,7,1,6,8,2,4] => [2,7,1,5,8,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,4,7,6,8,3,1,2] => [1,7,2,4,3,8,6,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,6,7,5,2,1,3] => [7,2,6,3,8,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,4,8,6,7,3,2,5] => [7,6,2,4,8,5,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,4,8,6,7,3,1,5] => [7,6,2,4,8,1,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,7,8,6,3,1,4] => [1,7,6,3,8,2,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,3,8,7,5,4,1,6] => [7,6,5,8,1,2,4,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,3,8,7,5,4,2,6] => [7,6,5,8,2,4,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,2,7,6,4,3,1,5] => [7,6,5,8,2,4,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,1,7,6,4,3,2,5] => [7,6,5,8,4,2,3,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,1,8,6,7,3,2,5] => [7,1,6,4,8,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,8,7,3,6,5,2] => [8,1,5,7,6,4,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,5,8,7,3,1,6,2] => [8,1,2,6,5,7,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,1,8,4,7,6,5,2] => [8,7,1,4,6,5,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,1,7,2,5,6,4,3] => [5,8,7,4,6,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,3,5,2,7,6,4] => [4,8,3,7,2,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,1,5,4,8,6,3] => [4,8,5,7,1,3,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,4,7,6,2,5,3] => [8,3,6,7,5,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,6,3,1,4,7,5,8] => [3,7,1,4,5,2,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,2,1,6,3,4,8,5] => [8,2,5,6,3,4,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,4,2,5,8,6,1] => [3,8,1,4,5,2,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,5,1,4,8,7,6] => [3,8,1,2,7,4,5,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,7,1,3,6,8,5,4] => [5,8,7,1,3,4,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,7,1,3,8,4,6,5] => [8,6,7,1,3,4,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,8,7,1,6,2,5,4] => [8,6,7,1,4,5,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,7,1,4,5,2,6] => [5,7,1,4,6,8,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,7,4,2,1,8,6,5] => [3,8,1,4,7,5,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,8,5,7,2,6,3,1] => [3,8,1,5,7,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,6,7,2,1,4,3,5] => [4,7,5,6,2,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,7,6,1,2,8,5] => [8,1,2,5,6,4,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,5,8,7,6,1,3,2] => [8,1,2,6,7,5,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,6,3,7,5,1,4,2] => [8,3,6,2,7,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,3,5,6,1,4,2] => [8,3,6,4,7,5,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,5,2,7,6,1,3,4] => [6,7,2,8,3,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,3,1,4,5,2,6] => [5,3,7,4,6,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,7,2,1,5,8,3] => [4,2,6,1,8,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,3,1,6,4,7,2] => [3,6,5,2,8,4,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,3,1,4,5,6,2] => [5,3,6,8,4,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,7,4,1,5,6,2,3] => [7,5,3,8,4,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,4,1,7,5,2,3] => [7,3,8,6,4,2,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,3,1,6,7,4,2] => [3,5,2,8,7,4,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,5,3,7,1,6,4,2] => [8,3,2,7,5,6,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,6,3,8,1,4,2,5] => [3,7,5,6,2,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,8,2,6,1,5,3] => [2,8,4,6,1,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,7,3,1,5,2,8] => [2,7,5,4,1,6,3,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,5,3,1,6,4,2,7] => [3,7,6,4,2,5,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,6,4,1,2,7,5,3] => [8,7,4,3,5,2,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,5,3,7,4,2,1,8] => [7,3,2,1,6,5,4,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,7,2,5,3,6,1,8] => [1,5,3,4,7,6,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,8,6,4,2,5,3,7] => [7,5,4,6,3,8,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,2,6,4,1,5,7,3] => [6,4,8,2,5,3,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,7,5,3,1,6,2] => [8,6,1,5,4,7,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,1,4,8,3,2,5,7] => [3,6,5,7,1,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,8,5,3,2,6,7] => [1,6,5,4,7,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,1,6,4,2,7,3,5] => [7,4,8,5,2,3,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,7,4,3,5,6,8] => [5,4,6,7,1,2,3,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,8,5,2,4,3,7] => [7,5,6,4,1,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,2,5,1,4,7,3] => [6,8,3,1,5,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,5,2,1,6,8,7,3] => [1,8,3,2,5,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,2,8,6,5,1,4,3] => [8,6,7,5,2,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,4,8,6,1,5,3,2] => [8,2,7,5,1,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,7,8,6,2,4,3,5] => [7,5,6,2,8,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,3,1,2,4,7,6] => [8,4,3,5,2,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,2,1,6,5,3,4,7] => [6,7,2,5,3,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,1,5,6,2,4,7] => [6,1,4,7,3,5,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,4,1,5,2,3,7] => [6,7,4,3,1,5,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,2,1,3,7,6,4,8] => [7,2,6,3,1,4,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,4,1,2,8,3,7,6] => [8,6,2,1,7,3,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,8,4,1,2,3,7,6] => [8,4,1,5,3,6,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,1,2,5,3,4,6,8] => [5,6,2,3,4,7,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,6,7,3,2,8,4,5] => [4,7,2,8,5,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,6,2,8,4,3,7] => [2,7,6,3,8,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,4,8,6,5,7,2,1] => [5,4,8,1,2,7,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,4,7,3,6,5,8] => [7,3,5,6,1,2,4,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,7,4,3,6,8] => [3,6,5,7,1,2,4,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,4,7,6,8,3,5] => [7,5,3,4,8,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,3,6,8,1,7,4,5] => [7,3,8,1,2,5,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,7,1,8,6,4,5] => [7,8,6,1,2,4,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,1,7,8,5,3,4] => [7,4,2,8,1,6,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,4,8,5,6,7,1,3] => [4,7,2,5,8,1,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,8,5,4,2,7,3] => [2,8,6,5,4,7,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,8,6,5,4,2,3] => [7,2,8,6,5,4,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,8,7,4,5,1,3,2] => [1,8,6,4,7,5,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,1,3,5,4,2,8,7] => [5,3,4,8,2,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,4,2,5,1,8,7] => [4,1,3,5,2,8,6,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,5,8,6,4,7,3] => [6,3,5,8,1,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,7,2,6,8,4,1] => [5,1,8,2,4,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,2,3,4,6,8,1] => [3,4,1,5,6,2,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,1,2,3,8,6,4] => [8,7,3,1,4,5,2,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,8,6,2,4,1,5,3] => [8,4,6,5,1,7,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,8,4,6,1,5,3] => [4,8,6,7,2,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,4,6,2,8,1,5,3] => [2,8,4,6,3,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,5,8,2,3,6,4] => [8,5,3,6,7,2,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,6,4,8,2,1,5,3] => [5,3,8,6,2,1,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,1,8,4,2,3,5,7] => [5,6,4,7,1,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,6,2,1,8,5,4] => [8,2,4,7,5,3,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,6,4,2,5,7,3] => [6,4,8,5,3,7,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,2,1,8,4,7,3] => [6,1,8,3,2,7,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,1,6,5,7,3,4] => [7,5,4,8,1,3,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,6,4,3,8,7,2] => [4,3,1,8,5,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,6,8,1,3,7,2] => [2,1,6,3,8,5,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,7,1,6,4,5,8,2] => [5,6,1,4,8,3,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,3,8,7,5,4,6,2] => [6,5,8,7,2,4,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,1,8,2,5,6,3] => [6,2,8,5,7,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,5,7,3,2,8,6] => [3,1,5,8,6,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,4,1,7,2,8,5,3] => [2,8,7,5,3,1,4,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[7,3,1,6,2,8,5,4] => [8,2,7,5,3,4,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,2,5,3,1,6,7] => [1,6,3,5,4,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,2,7,6,3,1,4] => [7,6,2,8,3,5,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,8,3,5,6,2,7,4] => [4,8,3,6,5,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,5,1,6,8,7,3] => [3,1,8,2,5,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,2,7,8,6,1,3] => [2,1,7,4,8,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,7,2,1,3,4,5] => [5,4,6,1,7,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,7,6,8,5,2,4,1] => [6,3,2,8,1,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,7,8,5,2,6,3,4] => [7,8,5,4,2,6,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,2,4,8,1,5,3] => [4,8,3,6,2,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,5,1,8,2,3,4] => [6,7,1,8,4,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,1,2,4,3,8,5] => [5,8,3,4,6,2,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,7,2,1,5,3,8,4] => [8,3,6,4,1,5,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,3,2,8,7,1,6,5] => [1,8,2,6,7,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,3,1,7,6,5,2] => [8,1,3,7,6,4,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,3,8,7,1,6,4,2] => [1,8,7,2,5,6,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,8,7,2,6,5,1,4] => [7,8,4,6,1,5,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,1,8,6,5,3,2] => [8,2,7,6,5,3,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[5,8,4,2,1,7,6,3] => [1,8,4,3,7,5,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,8,3,1,7,6,2] => [2,1,4,8,7,5,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,4,1,2,5,8,3] => [6,8,4,3,1,5,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,7,4,2,5,8,3] => [6,4,2,8,5,1,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,6,7,5,8,1,2,4] => [6,2,7,1,4,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,6,7,5,8,3,2,4] => [2,7,6,4,3,8,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,8,6,5,7,4,1,2] => [7,4,3,8,1,6,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,1,6,5,7,4,3,2] => [4,3,8,7,6,2,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,5,8,7,4,2,3,1] => [2,1,6,8,7,5,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,5,7,4,2,1,3] => [1,7,6,3,8,5,4,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,6,7,5,8,2,1,4] => [2,7,6,1,4,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,7,5,3,8,1,2,6] => [6,1,4,3,7,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,3,1,6,2,8] => [7,1,5,4,3,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,5,3,8,1,6,2] => [4,1,3,8,6,2,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,7,5,8,6,3,4,1] => [3,6,2,8,7,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,5,6,8,3,4,1] => [3,6,4,2,8,1,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,7,5,3,6,8,1,2] => [4,1,3,7,5,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,5,3,1,4,6,2] => [6,4,8,5,3,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,5,3,1,4,8,6] => [4,8,5,1,3,6,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,7,5,3,4,8,6,1] => [8,4,3,5,1,2,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,7,6,2,8,3,1,4] => [1,7,4,6,3,2,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,6,3,2,4,8,7] => [4,8,5,2,1,3,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,7,6,1,8,3,2,4] => [1,7,6,8,4,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,7,2,8,4,3,5] => [7,6,8,4,2,1,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,8,5,6,7,3,1,2] => [3,7,1,4,8,6,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,1,7,3,8,5,2,4] => [7,8,4,3,1,6,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,8,3,1,5,4,6] => [4,7,5,6,1,2,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,5,6,7,2,1,3] => [3,7,1,6,4,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,4,6,7,8,5,1,3] => [3,7,2,4,8,1,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,6,2,8,5,1,3] => [7,8,1,4,3,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,7,3,2,4,1,6] => [1,5,4,7,6,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,5,1,2,8,7,3,6] => [1,7,2,8,6,3,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,1,2,8,3,7,4] => [8,6,1,7,3,2,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,6,1,3,8,4,2] => [8,5,2,7,4,3,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,7,6,1,3,8,4,2] => [1,8,5,7,4,3,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,7,1,4,2,8,5,3] => [4,8,7,3,1,5,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,1,6,4,8,3,7,5] => [8,4,1,3,6,7,2,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,4,5,1,3,8,6,2] => [2,8,5,3,7,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,4,5,7,8,3,6,2] => [6,2,3,4,8,7,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,5,7,8,2,4,3,6] => [2,7,5,6,3,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,4,7,3,2,1,5] => [3,1,7,6,5,8,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,5,4,2,7,1,3] => [5,1,7,4,3,8,6,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,5,6,1,4,2,7,8] => [6,1,4,2,5,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,8,4,2,7,5] => [5,8,3,2,6,7,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,5,7,8,3,1,4] => [3,2,7,6,1,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,6,7,8,2,1,4,5] => [6,5,1,2,7,3,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,2,8,3,6,5,1,7] => [1,7,4,6,2,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,8,7,2,4,5,1] => [5,6,1,8,2,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,6,1,8,2,4,5,3] => [6,8,5,7,3,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,5,6,3,4,8,1,7] => [4,2,5,1,3,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,4,7,8,6,1,3] => [7,3,1,4,8,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,4,5,7,1,8,6,3] => [8,2,3,7,1,5,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,4,2,5,7,8,3] => [5,3,6,8,2,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,7,2,4,3,5,8] => [6,4,5,2,7,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,3,6,4,7,2,5] => [5,7,3,4,8,6,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,3,5,8,2,6,1,4] => [5,2,3,7,1,8,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,7,2,5,8,4,3,6] => [4,7,6,8,3,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,4,6,7,8,3,5,2] => [3,6,2,4,8,7,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,5,3,6,8,7,2] => [3,1,8,4,5,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,5,1,6,8,4,2] => [5,3,8,1,7,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,7,4,6,2,3,1] => [6,1,4,8,7,5,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,7,1,5,3,4,2] => [6,1,8,7,4,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,8,4,6,5,1,3] => [4,7,2,8,6,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,8,5,4,6,2,1] => [5,4,2,8,1,7,6,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,7,5,2,6,3,1] => [8,5,1,4,7,6,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,8,7,4,6,1,5,3] => [4,8,6,7,5,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,8,7,2,5,6,3,1] => [5,8,1,4,7,6,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,7,8,5,3,6,2,1] => [5,4,1,2,8,7,6,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,4,8,1,5,7,3,2] => [2,5,1,8,7,4,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,6,8,3,5,2,7,4] => [8,4,2,6,5,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,5,8,6,3,7,2,1] => [5,1,2,4,8,7,6,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[2,6,7,8,4,5,1,3] => [2,7,5,3,8,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,2,8,4,7,5,3] => [8,5,7,6,2,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,2,1,8,6,4,5,3] => [6,8,7,2,5,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,3,8,4,7,6,2,1] => [1,8,4,7,2,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,5,8,3,7,6,2,1] => [8,1,2,4,7,6,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[1,7,2,8,6,4,5,3] => [6,8,7,5,3,1,2,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,4,7,8,5,6,1,3] => [7,5,2,3,8,1,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,1,7,8,5,6,3,2] => [5,1,3,8,7,6,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,5,8,6,4,7,2,1] => [5,2,4,8,1,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,6,3,8,5,1,7,4] => [8,6,3,1,2,5,7,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,3,4,7,6,1,2,8] => [2,3,1,6,7,5,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,1,4,8,3,7,5] => [8,2,4,6,1,7,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,8,5,4,1,3,7,6] => [8,5,4,1,3,6,7,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,2,8,7,1,3,5,6] => [5,1,6,7,8,2,4,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,6,5,1,8,2,7] => [1,7,2,4,3,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,8,3,6,5,2,7] => [7,2,4,6,5,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,6,4,7,2,5] => [5,7,4,8,2,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,6,4,3,7,5] => [5,8,6,4,7,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,7,6,8,3,2,5] => [7,1,6,4,3,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,3,7,4,5,2,8] => [5,7,3,2,6,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,3,7,4,8,5,1] => [8,5,3,1,2,4,7,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,6,1,7,8,2,5,3] => [8,1,6,4,2,7,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,6,7,8,3,4,1] => [3,1,6,4,8,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,1,2,7,4,3] => [8,7,4,2,1,5,6,3] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,8,4,3,7,2,1,6] => [1,4,3,7,6,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,2,7,6,3,4,8] => [6,2,7,5,1,3,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,2,6,8,3,5,4,1] => [8,5,3,7,2,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,1,7,6,2,5,3] => [8,1,6,7,5,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,8,6,5,3,4,1] => [6,8,7,5,2,1,4,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[4,1,8,7,6,5,2,3] => [7,8,1,6,5,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,5,2,8,4,3,1] => [8,7,4,3,2,1,6,5] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[6,5,1,8,7,4,3,2] => [2,1,8,7,6,5,3,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,5,1,8,6,4,3,2] => [2,8,7,6,5,3,1,4] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[8,5,1,7,6,4,3,2] => [2,8,7,6,5,3,4,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,5,3,7,6,1,4,2] => [8,3,2,6,7,5,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,8,7,6,1,5,4,2] => [8,7,5,6,1,4,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,3,7,5,4,1,6,2] => [8,6,2,5,4,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,5,7,1,3,2,4] => [7,5,6,3,2,8,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,5,8,6,2,7,4,3] => [8,2,7,5,4,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,8,5,7,2,6,4] => [4,8,1,6,7,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,5,2,6,4,3,1,7] => [7,6,3,2,5,4,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,6,4,5,2,1,7,3] => [5,3,8,6,4,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,5,2,6,1,4,7,3] => [6,8,3,2,5,4,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,6,7,1,8,5,4] => [3,8,1,7,2,5,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,7,8,4,1,5] => [3,7,1,6,2,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,7,4,8,5,1,3] => [4,7,3,1,8,2,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,1,3,8,5,4,2] => [8,7,4,1,6,3,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,7,1,8,5,2,4,3] => [8,6,1,7,5,3,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,2,6,7,8,5,3,4] => [3,7,4,8,6,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,7,4,8,3,2,5] => [4,2,7,6,3,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,6,7,8,3,2,5] => [3,7,2,6,4,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,2,4,5,3,7,8] => [4,6,2,3,5,1,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,7,2,1,5,4,6,3] => [6,3,5,8,4,7,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,7,4,8,6,5,3,1] => [8,7,3,2,6,1,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,6,5,2,4,1,8,3] => [8,4,6,5,3,2,1,7] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,6,4,3,1,5,8,2] => [6,4,3,8,5,2,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,8,7,2,3,5,4] => [8,5,6,1,7,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,8,2,7,1,5,4] => [8,4,1,2,6,7,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,8,7,2,5,4,1,3] => [7,1,8,4,6,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,2,6,4,8,7,5,1] => [3,8,1,7,2,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,2,8,6,5,1,3] => [7,8,1,6,3,2,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,1,8,6,5,3,2] => [8,7,1,6,5,3,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,7,3,8,6,1,5,2] => [8,1,3,6,2,7,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,3,8,2,5,7,6,1] => [1,8,2,4,5,7,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,1,2,6,8,7,5,3] => [1,8,4,7,6,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,6,4,8,7,2,5] => [7,1,3,8,4,6,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,8,3,5,2,7,6] => [4,1,5,8,6,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,3,6,8,7,1,5] => [4,1,7,8,2,3,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,3,5,1,7,6] => [4,1,5,8,2,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,3,5,7,6,1] => [1,8,4,5,7,2,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,2,4,5,7,6,1] => [8,1,3,4,5,7,6,2] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,8,2,5,1,4,7,6] => [8,1,3,5,4,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,8,5,7,1,3,6] => [1,6,4,7,8,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,8,1,5,2,4,7,6] => [8,1,5,3,4,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,5,6,4,1,3,2,8] => [7,5,2,6,4,3,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,8,6,4,1,3,2,5] => [7,5,6,4,1,8,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,1,4,2,5,6,3,8] => [5,3,7,2,4,6,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,3,2,1,4,6,5,8] => [3,2,7,4,5,6,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,1,3,5,6,2,8] => [4,5,2,7,3,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,1,5,8,7,4] => [8,1,3,5,2,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,6,1,5,8,7,4] => [8,5,1,2,3,7,4,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,6,7,4,1,2,8,5] => [8,5,1,4,2,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,3,2,7,1,6,8,5] => [2,1,6,8,3,5,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,8,1,5,3,7,4] => [8,6,4,1,2,5,7,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,5,8,2,3,6,7,1] => [1,4,2,5,6,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,4,8,5,3,6,7,1] => [5,2,4,6,8,1,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,2,6,4,8,7,1] => [2,4,1,8,3,5,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,5,2,8,6,7,1] => [2,1,3,6,8,4,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,5,3,2,6,7,1] => [5,1,4,3,6,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,4,2,8,6,7,1] => [3,1,2,6,8,4,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,2,7,5,6,8,3] => [5,1,6,4,8,2,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,5,2,4,3,8,6,1] => [4,8,3,2,5,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,1,2,5,4,7,3] => [6,5,8,3,1,4,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,1,8,5,2,7,3] => [2,8,6,5,1,7,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,6,1,8,5,4,7,3] => [6,5,2,8,1,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,2,8,5,6,4,3] => [5,8,7,6,2,3,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,3,2,6,8,5,7,1] => [2,1,4,6,8,3,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,6,4,8,5,2,1] => [8,4,3,1,2,7,6,5] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,1,6,8,5,4,7,2] => [3,6,1,5,8,7,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,2,8,4,6,7,1] => [5,1,2,6,8,3,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,4,2,8,3,6,7,1] => [5,2,1,6,8,3,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,4,8,2,6,7,1] => [2,3,1,5,6,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,5,4,8,3,6,7,1] => [3,2,5,6,8,1,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,1,8,3,5,4,7,2] => [6,4,5,1,8,7,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,8,3,2,6,7,1] => [2,1,5,4,6,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,2,3,4,6,7,1] => [3,4,1,5,6,8,7,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,2,1,7,8,5,4,3] => [4,8,7,2,1,6,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,4,6,8,3,2,5,1] => [6,2,5,3,1,8,7,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,1,2,3,8,4] => [8,4,5,2,6,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,6,2,3,1,5,7] => [4,2,6,5,7,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,7,8,5,4,2,6] => [7,6,1,5,3,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,4,8,3,1,2,5] => [6,3,7,5,2,1,8,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,2,7,8,6,1,4,5] => [6,7,1,3,8,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,2,5,1,3,7,4] => [8,3,5,1,6,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,4,2,1,5,3,8] => [4,7,5,3,1,6,2,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,7,4,1,3,6,2,8] => [5,1,7,4,3,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,7,5,1,8,3,6] => [1,7,4,8,2,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,5,3,8,2,7] => [1,5,4,3,7,8,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,4,6,3,8,2,7] => [3,2,5,4,7,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,6,4,7,3,2,5] => [4,7,6,3,8,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,8,1,7,3,6,2] => [2,1,6,8,7,4,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,2,8,5,3,1,6,4] => [5,8,6,2,4,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,8,1,7,4,2,5] => [7,6,1,2,8,4,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,6,3,1,4,5,2] => [6,4,8,5,1,7,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,8,6,1,7,5,2,4] => [7,8,6,1,4,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,5,4,8,3,1,6] => [4,3,7,6,1,2,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,5,2,1,3,4] => [6,5,1,7,8,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,5,7,6,2,8,4,3] => [8,2,7,5,4,1,3,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,5,2,7,8,4,3] => [5,3,2,8,7,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,7,8,5,6,2,3,1] => [6,4,1,2,8,7,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,7,8,5,6,1,4,3] => [8,6,4,2,7,1,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,8,4,2,1,5,3] => [5,1,8,6,4,2,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,4,1,2,5,7,3] => [6,8,4,3,5,2,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,7,8,3,5,4,2,1] => [1,8,4,2,7,6,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,7,8,2,1,5,3,4] => [4,7,1,8,5,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,6,3,2,7,4,1,8] => [3,1,7,4,2,6,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,4,3,7,5,8,1] => [3,6,4,1,2,5,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,2,3,6,1,8,4,5] => [7,8,2,3,5,4,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,6,5,7,1,2,8] => [6,1,2,4,3,7,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,2,3,5,4,8,1] => [6,3,4,5,2,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,2,4,3,6,1,7] => [5,3,4,2,7,6,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,7,2,4,1,6,3] => [8,4,2,6,5,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,6,7,5,8,1,4,3] => [2,8,6,4,1,3,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,4,8,2,1,5,6,3] => [4,2,6,8,5,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,6,7,8,5,1,4] => [3,7,4,8,1,2,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,7,1,6,4,2,5] => [7,2,6,8,4,5,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,4,1,6,8,2,3] => [1,7,5,3,8,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,8,5,3,2,4,7] => [6,5,2,7,4,8,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,7,4,3,8,1,5] => [5,4,7,2,1,3,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,7,8,4,6,2,3,5] => [6,4,7,2,8,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,8,4,6,2,3,5] => [6,4,7,8,5,2,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,1,6,5,4,7,2,3] => [7,5,4,3,8,2,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,1,4,6,7,3,8,2] => [3,4,1,6,5,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,2,8,5,3,1,6] => [7,1,6,3,5,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,4,6,3,2,5] => [4,7,6,8,3,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,2,8,4,7,1,3] => [7,5,2,1,8,3,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,4,7,5,8,6,3,2] => [8,4,2,3,7,6,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,8,1,3,5,4,2,6] => [7,4,6,3,5,1,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,1,6,8,3,5,2] => [6,1,4,8,7,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,5,2,8,4,1,7] => [7,4,1,3,2,6,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,2,5,6,3,1,7,4] => [5,3,8,2,6,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,4,2,5,3,6] => [7,5,4,6,8,2,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,4,8,7,5,2,6,3] => [8,6,2,5,7,4,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,5,6,4,2,3,7,8] => [5,2,6,4,1,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,8,7,4,2,1,3,6] => [1,6,5,7,4,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,7,3,2,5,4,6] => [4,7,5,6,8,3,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,2,4,8,6,3,5,7] => [6,7,3,5,8,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,2,4,7,3,8,6] => [8,4,2,6,1,3,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[8,5,3,2,1,4,7,6] => [4,3,8,5,2,6,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,2,7,6,8,4,3,5] => [7,6,4,3,8,1,2,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,6,3,5,8,4,2,7] => [4,7,3,2,6,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,3,2,7,8,4,6] => [7,3,2,5,8,1,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,8,6,2,3,7,5] => [1,8,5,6,4,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,6,2,3,4,1] => [5,2,6,1,8,7,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,7,6,4,3,8,5,2] => [4,8,5,3,2,7,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,8,5,7,6,3,2,4] => [3,7,6,8,5,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,4,7,3,6,8,5,2] => [5,8,2,4,3,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,3,5,7,8,4,2] => [4,5,2,8,3,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,6,3,2,7,8,4] => [4,2,6,3,8,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,7,6,8,4,5,3] => [6,4,3,8,7,1,2,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,3,7,2,6,4,1,8] => [7,2,1,4,6,5,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,8,2,6,1,7,4] => [8,2,1,4,6,5,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,6,2,5,3,4,1,8] => [5,7,3,6,4,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,2,4,5,3,1,8] => [4,7,3,6,5,2,1,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,6,2,4,3,5,1,8] => [5,3,4,7,6,2,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,2,3,5,4,1,8] => [7,3,4,6,5,2,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,4,2,7,1,6,3,5] => [7,2,8,3,5,6,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,6,1,5,3,2,4] => [7,6,8,4,5,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,1,4,3,5,2] => [6,5,8,4,7,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,1,3,5,4,2] => [8,5,7,4,6,3,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,7,6,1,5,4,2,3] => [7,8,6,4,5,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,2,7,1,5,3,4] => [7,8,3,5,2,6,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,5,4,2,1,6,7] => [6,2,5,4,3,7,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,8,4,3,1,5,2,6] => [7,5,4,3,6,1,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,7,6,1,2,5,3,4] => [7,8,4,5,6,3,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,7,6,1,2,5,4,3] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,7,6,1,4,2,5,3] => [8,6,4,5,7,3,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,7,5,8,6,1,3,2] => [3,8,1,6,2,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,7,3,8,4,1,2] => [4,2,1,7,3,8,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,5,4,1,2,6,3] => [8,5,6,4,3,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,1,5,3,2,4] => [7,6,8,4,2,5,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,1,3,4,2,8] => [5,7,4,2,6,3,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,8,5,1,3,4,2,6] => [5,7,4,6,3,1,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,1,3,4,2,6,8] => [4,6,3,5,2,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,1,3,4,2,8,6] => [4,5,1,8,3,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,6,4,8,1,2] => [3,7,2,5,4,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,7,3,8,2,5,6,4] => [6,8,3,5,2,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,3,7,8,4,6,2] => [2,6,4,8,3,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,3,8,2,6,4] => [2,8,4,6,3,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,5,3,6,2,4,8] => [4,6,3,7,2,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,5,8,4,2,6] => [4,7,3,6,2,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,7,5,8,6,2,4] => [4,7,3,8,2,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,8,5,3,6,2,4] => [5,7,4,2,8,6,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,5,6,3,4,2,8] => [5,3,7,6,2,4,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,5,6,4,1,2,8] => [6,2,3,7,5,4,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,7,5,8,4,1,2,6] => [6,3,7,1,5,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,6,8,1,3,4,2] => [6,2,8,5,3,1,7,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,3,4,7,8,1,2,6] => [2,3,1,6,7,4,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,7,6,8,1,2,4] => [6,1,7,2,4,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,1,5,4,6,2,8] => [2,5,4,7,3,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,5,1,2,6,4,8] => [2,7,4,5,3,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,1,2,8,5,6,4] => [6,8,1,7,3,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,1,7,4,6,8,2] => [2,5,1,6,4,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,7,1,2,6,8,4] => [2,6,1,8,4,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,8,2,5,6,1,3] => [2,7,4,5,1,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,2,4,6,1,3,7] => [6,3,1,4,7,5,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,1,4,8,5,2,7,3] => [8,3,6,5,1,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,6,8,5,2,7,4] => [3,8,1,6,5,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,8,1,5,6,4,7] => [5,7,1,2,4,6,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[5,4,8,1,2,6,7,3] => [6,2,1,8,4,5,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,8,2,4,6,7,3] => [5,6,1,8,4,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,8,2,3,6,7,5] => [6,1,8,4,5,7,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,3,8,1,7,4,6] => [7,8,2,1,3,5,6,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,3,5,7,1,6,4,8] => [3,7,1,2,5,6,4,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,5,3,8,2,4,6,7] => [3,5,2,6,7,8,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,7,1,8,6,3,5,4] => [8,6,7,5,1,3,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,6,1,3,2,8,4] => [5,1,8,4,6,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,5,3,7,4,2,1] => [8,4,3,2,7,6,5,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[3,5,4,6,1,7,8,2] => [3,1,2,6,4,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,5,4,6,3,7,2] => [4,3,6,5,8,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,6,3,1,7,2,5] => [2,7,4,8,5,3,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,2,5,6,3,7,1] => [4,2,6,3,5,8,7,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,6,2,7,5,4,3,1] => [8,7,6,3,2,5,4,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[5,4,7,2,8,6,1,3] => [2,1,7,8,4,3,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,5,6,4,1,7,2,8] => [2,7,1,5,4,3,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,1,7,4,3,8] => [2,7,6,1,4,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,7,1,8,6,5,4,3] => [8,7,6,5,1,3,2,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[3,7,6,1,8,5,4,2] => [8,7,6,1,4,3,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,2,8,3,1,4,5,7] => [5,2,4,6,1,7,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,8,3,1,4,5,6] => [5,4,6,7,1,2,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,3,2,8,6,7,4] => [6,2,8,3,7,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,5,3,2,6,7,4] => [4,6,3,8,5,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,8,5,6,3,2,4] => [7,6,4,2,8,5,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,7,5,2,3,4,8,6] => [8,4,5,3,6,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,5,2,4,8,6,3] => [8,5,3,7,4,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,8,6,3,5,7,4] => [6,8,5,4,7,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,7,8,4,3,5,6] => [6,5,7,3,8,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,6,7,4,2,3,5] => [6,7,5,3,8,4,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,7,8,4,2,3,5] => [6,2,7,5,3,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,7,8,3,4,2,5] => [5,2,7,6,3,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,4,2,3,8,5,6] => [7,3,8,4,5,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,8,4,2,3,5,6] => [5,6,4,7,2,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,5,6,2,8,4] => [4,8,3,6,5,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,8,3,4,2,5,6] => [4,6,5,7,2,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,3,7,8,5,4,6] => [7,6,4,8,1,2,3,5] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,7,4,5,2,3,8,6] => [3,8,5,4,6,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,8,4,5,2,3,6] => [6,4,7,5,2,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,4,5,6,2,3,7] => [3,6,4,7,5,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,2,7,3,4,1,6] => [5,1,7,3,6,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,7,2,3,4,1,5] => [4,5,1,7,6,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,7,5,2,6,1,4] => [5,7,4,8,1,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,7,3,2,5,1,6] => [5,1,4,7,6,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,8,1,6,7,4,2] => [5,1,8,2,7,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,1,3,7,6,4] => [8,3,1,7,4,5,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,8,2,6,4,7,3] => [6,5,1,8,4,7,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,1,8,4,6,2,7,5] => [8,1,4,6,5,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,1,6,5,2,3,7] => [6,2,7,5,3,4,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,7,6,4,3,5,2] => [6,5,8,7,4,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,1,8,7,5,3,4,2] => [6,1,8,7,5,4,2,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,8,7,3,2,4,1,5] => [5,4,1,7,6,8,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,3,7,5,6,8,4,1] => [4,5,3,8,1,2,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,7,6,4,5,1,3] => [7,5,8,6,4,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,8,7,6,3,1,5,2] => [8,6,1,5,7,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,5,2,4,7,6,8,1] => [6,1,3,2,4,5,8,7] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,2,6,4,7,8,1] => [2,5,3,1,4,6,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,3,2,6,7,4,8,1] => [2,4,1,6,3,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,3,2,7,6,4,8,1] => [6,2,1,5,3,4,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,3,5,2,8,4,6,1] => [6,2,3,8,4,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,5,2,7,4,6,8,1] => [5,1,2,6,3,4,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,5,4,8,6,1] => [4,8,1,5,2,3,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,5,1,6,4,7,2] => [6,2,5,3,8,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,5,6,1,3,7,2] => [2,6,3,8,5,4,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,4,7,6,8,2,5,1] => [6,4,1,2,3,8,7,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,2,8,4,1,3,6,7] => [5,6,2,1,4,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,5,2,1,4,6,7] => [5,1,4,6,3,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,6,4,1,8,2,5,3] => [8,6,3,7,4,2,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,1,6,7,3,4,2,5] => [5,7,6,3,8,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,1,6,7,4,3,5] => [7,6,2,4,8,3,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,8,6,3,7,1,4] => [5,1,7,4,8,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,8,1,2,5,4,3] => [8,7,4,5,2,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,1,3,4,8,5,7,6] => [8,1,6,7,2,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,7,1,2,6,8,3,4] => [7,5,1,8,3,4,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,5,2,3,6,8,7,4] => [8,5,2,7,1,3,4,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,5,7,4,1,8,2,6] => [2,7,1,4,8,5,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,6,4,7,5,1,2,3] => [6,3,7,2,8,5,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,4,1,2,5,3,7] => [7,4,5,3,6,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,4,3,1,6,5,7] => [4,3,7,1,5,6,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,8,4,6,1,5,2,7] => [3,7,1,5,6,4,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,5,6,1,4,7,2] => [6,2,3,8,5,4,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,7,3,5,4,2,1] => [1,8,4,7,6,5,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[8,3,5,7,2,1,4,6] => [6,2,5,3,7,8,4,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,1,2,8,4,5,6] => [6,2,7,8,3,4,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,4,7,6,3,5,8] => [6,7,1,3,5,2,4,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,2,4,5,3,8,1,6] => [3,5,2,4,7,1,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,2,5,6,7,3,1] => [4,2,5,8,3,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,4,1,6,3,7,8,2] => [5,4,2,1,6,8,3,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,5,1,3,6,7,8,2] => [4,1,5,2,6,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,7,5,4,8,2,3] => [7,5,4,3,1,8,2,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,7,2,1,8,4,3,6] => [7,3,1,6,8,4,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,6,2,1,8,3,4,7] => [3,6,1,7,2,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,4,8,6,5,7,3,1] => [5,4,8,2,7,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,8,4,7,5,1,3] => [4,7,1,8,6,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,4,7,8,6,5,1,2] => [7,3,8,1,2,6,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,4,7,2,6,8,5,3] => [5,8,2,7,4,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,7,6,4,1,5,8] => [6,1,5,7,2,4,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,3,5,7,1,4,8] => [6,2,3,4,1,7,5,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,8,1,2,5,6,4,3] => [5,8,7,3,4,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,3,6,8,5,2,4] => [7,4,8,3,6,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,8,1,4,2,3,7] => [6,7,4,2,1,5,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,3,8,4,1,6,5,7] => [4,7,1,2,5,6,8,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,1,4,8,5,7,6] => [8,1,2,6,7,3,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[4,2,6,1,5,8,7,3] => [1,8,5,2,3,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,5,1,8,4,3,6,2] => [6,5,2,8,7,3,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,1,8,5,7,6,4,2] => [8,4,7,1,6,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,4,8,7,5,1,3,6] => [6,7,2,5,8,1,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,6,1,8,4,2] => [8,2,7,1,5,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,5,7,6,2,8,4,1] => [8,2,5,1,4,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,3,2,8,7,6,4] => [2,8,7,3,6,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,4,3,8,7,5,2] => [8,3,7,4,1,6,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,5,2,1,8,7,4] => [8,2,4,3,1,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,4,1,3,7,6,5] => [3,8,7,1,4,5,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,1,4,7,6,5,2] => [8,7,1,4,6,3,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,3,8,7,5,4,1] => [8,7,6,2,1,3,5,4] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[3,4,7,5,8,1,2,6] => [6,1,2,4,7,3,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,7,8,3,4,1,5,6] => [4,6,5,7,1,2,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,7,5,4,3,1] => [3,8,7,6,5,1,4,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,2,6,8,1,4,3,5] => [7,5,6,2,3,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,6,2,8,4,7,1] => [6,2,1,3,8,4,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,6,3,7,4,5,2] => [6,8,4,3,7,2,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,5,7,3,8,4,1] => [3,2,8,5,1,4,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,2,7,4,1,5,3] => [8,6,3,1,5,7,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,1,7,8,5,3,2,4] => [7,6,3,1,8,5,2,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,6,5,4,7,1,8,3] => [4,3,2,8,1,6,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,3,4,6,1,7,2] => [3,1,4,8,6,5,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,7,1,5,4,2,3] => [7,1,8,6,4,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,3,8,2,7,1,6,4] => [8,2,1,4,6,7,5,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,6,7,1,5,3,4] => [7,8,5,2,3,6,4,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,1,5,2,6,3,4,8] => [6,7,4,2,3,5,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,7,1,5,2,6,8,4] => [6,1,4,8,3,5,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,7,1,8,3,4,5,2] => [5,6,1,8,7,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,7,1,6,8,4,5,2] => [6,4,8,1,7,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,5,2,7,1,4,8] => [4,6,1,3,2,7,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,3,4,7,1,5,2] => [3,4,1,8,6,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,5,2,7,1,6,4] => [8,2,4,3,6,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,6,4,7,1,5,2] => [4,8,6,1,3,7,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,1,4,8,6,5,2] => [8,7,1,4,6,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,3,7,6,5,8,1,4] => [7,5,4,1,2,3,8,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,2,4,3,7,5,1,8] => [3,7,2,4,1,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,5,3,6,4,1,8] => [7,4,2,3,6,5,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,2,5,3,7,4,1,8] => [7,4,2,3,1,6,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,7,3,6,4,1,8] => [7,4,1,6,2,5,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,6,2,5,4,1,8] => [7,2,4,6,5,3,1,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,3,8,2,5,4,1,7] => [7,2,4,1,6,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,1,4,6,5,2,8] => [2,7,4,6,3,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,7,2,5,4,1,6] => [7,2,4,6,5,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,2,8,3,6,4,1,7] => [7,4,1,6,2,5,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,2,5,4,1,6,3,7] => [7,5,2,4,3,6,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,1,4,8,5,3,7] => [7,2,4,6,1,8,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,1,4,8,6,3,7] => [7,2,4,1,6,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,1,5,8,6,4,7] => [1,7,2,4,6,8,3,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,8,3,7,5,1,6] => [1,7,4,6,8,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,3,7,4,1,6] => [7,4,1,6,8,2,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,1,4,8,5,2,6] => [2,7,4,6,8,3,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,3,7,4,8,5,2,6] => [7,4,6,2,3,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,6,3,7,4,1,5] => [7,4,6,2,3,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,6,3,8,4,1,5] => [7,4,6,2,3,1,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,3,8,4,1,6] => [7,4,1,6,2,3,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,7,4,8,5,1,6] => [7,1,4,6,2,3,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,6,3,8,4,1,7] => [7,4,2,1,3,6,8,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,2,5,3,8,4,1,7] => [7,4,2,3,1,6,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,2,5,3,8,4,1,6] => [7,4,2,3,6,1,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,5,3,7,4,1,6] => [7,4,2,3,6,8,5,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,3,6,4,8,5,2,7] => [7,4,2,3,6,8,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,3,5,4,8,6,2,7] => [3,7,2,4,6,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[7,2,4,3,8,5,1,6] => [3,7,2,4,6,1,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,4,3,8,5,1,7] => [3,7,2,4,1,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,4,3,8,6,1,7] => [3,7,2,1,4,6,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,5,3,8,6,1,7] => [3,1,7,2,4,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,5,3,1,7,6,8] => [4,2,1,3,7,5,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,4,3,1,7,5,8] => [4,2,3,7,5,1,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,2,4,3,1,6,5,8] => [4,2,3,7,5,6,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,4,1,3,6,5,2,7] => [7,4,2,6,3,5,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,2,4,7,6,3,8] => [7,4,2,6,1,3,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,2,5,3,1,6,4,8] => [4,7,2,5,3,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,5,3,1,7,4,8] => [4,7,2,5,3,1,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,2,6,3,1,7,5,8] => [4,1,7,2,5,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,7,3,1,6,5,8] => [4,1,7,2,5,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,6,3,1,5,4,8] => [4,7,2,5,6,3,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,2,4,8,6,3,7] => [7,4,2,6,8,1,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,1,5,3,7,4,8] => [7,2,5,3,4,1,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,2,1,6,4,7,5,8] => [1,7,2,5,3,4,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,2,8,5,1,6,4,7] => [7,1,5,2,4,6,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,3,7,4,1,5,2,6] => [7,2,5,4,6,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,5,2,8,7,4,3,6] => [2,7,6,8,5,1,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,7,2,8,1,4,3,6] => [7,3,1,5,6,2,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,2,7,1,4,3,6] => [7,3,1,5,6,8,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,8,3,1,5,2,7,6] => [1,5,3,8,4,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,5,3,2,6,8,4] => [4,6,3,8,2,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,5,7,8,6,2,4] => [7,1,3,4,8,6,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,5,1,7,4,8,6,3] => [2,8,5,1,4,7,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,1,7,8,5,4,6] => [7,1,6,2,4,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,3,4,2,1,5,8,6] => [2,4,3,8,5,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,6,3,2,4,8,5] => [4,8,5,6,3,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,1,6,4,7,8,5,3] => [5,3,8,1,4,7,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,3,7,5,8,4,6] => [5,7,4,8,1,2,3,6] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,8,5,3,2,4,7,6] => [4,8,5,3,6,7,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,7,8,1,5,6,2,3] => [7,1,5,8,4,2,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,6,2,7,8,3,4,1] => [1,6,4,2,8,3,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,1,8,5,6,2,3] => [2,7,5,8,6,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,2,5,8,1,6,3,4] => [7,3,8,2,5,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,8,1,5,7,2,3] => [2,7,5,1,8,4,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,4,1,3,6,8,5] => [6,3,8,1,4,5,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,1,8,4,6,7,3] => [5,6,1,8,2,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,1,4,7,5,8,3] => [6,2,4,5,1,8,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,1,5,4,7,3,8] => [5,4,7,1,3,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,8,5,4,6,3,7] => [5,4,7,6,8,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,8,4,5,7,2] => [5,3,6,8,2,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,8,4,6,3,7,5] => [8,4,6,5,7,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,7,6,5,1,4,8,3] => [6,8,5,4,1,3,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,4,8,1,3,6,5] => [3,8,5,6,1,2,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,6,8,4,1,7,5] => [5,3,8,1,2,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,2,6,8,4,7,5,3] => [3,8,5,7,6,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,2,8,6,3,5,4] => [8,6,7,5,3,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,3,8,5,4,7,1,6] => [5,4,7,8,1,2,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,1,4,8,3,7,5] => [8,4,6,1,2,7,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,6,5,2,1,4,8] => [6,5,7,1,4,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,6,1,4,8,7,3] => [2,8,5,1,3,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,2,3,7,1,6,5] => [8,3,2,4,6,7,5,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,2,4,8,7,3,1,6] => [7,3,1,6,8,2,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,3,2,6,7,4,1,5] => [7,2,6,3,4,8,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,1,6,3,7,5,2] => [8,1,5,4,7,3,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,5,2,6,4,3,8] => [7,6,4,2,3,5,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,8,5,6,2,7,4,3] => [3,8,7,5,4,6,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,3,2,4,6,7,1,5] => [2,7,3,4,5,8,6,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,2,7,6,1,8,5,3] => [8,1,7,5,2,4,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,4,8,6,3,5,1] => [6,8,3,7,2,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,2,1,8,5,4,6] => [2,7,3,6,8,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,5,2,1,8,4,7] => [4,7,1,3,2,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,2,4,3,5,8,1] => [5,3,4,1,6,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,3,7,2,1,6,8] => [1,3,2,6,5,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,8,2,1,5,7,6] => [2,1,4,8,5,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,2,8,1,6,7,5] => [2,1,6,8,3,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,7,8,2,3,6,1] => [2,1,5,6,3,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,3,8,2,1,6,7,5] => [2,1,4,6,8,5,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,7,4,5,2,8,1] => [4,2,6,1,5,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,7,6,2,4,8,1] => [5,1,6,2,4,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,7,3,1,5,6,2] => [2,6,4,8,5,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,7,1,8,3,4,2] => [1,6,2,8,7,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,8,6,2,5,4,3] => [8,7,5,6,4,2,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,5,1,7,6,4,2,3] => [7,2,8,6,5,3,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,5,8,2,6,4,7,3] => [2,6,5,8,4,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,7,5,6,8,3,2] => [4,5,2,3,8,7,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,1,2,6,4,5,7,3] => [5,6,4,8,2,3,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,7,1,5,4,8,3] => [6,5,2,8,1,4,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,2,7,6,5,8,1,4] => [7,5,1,4,2,3,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,7,3,2,5,8,1,4] => [3,7,4,1,5,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,8,4,5,3,7,2] => [4,6,5,1,8,7,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,1,4,6,2,8,7,3] => [3,4,1,8,7,2,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,8,7,4,6,3,2] => [5,8,2,7,6,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,2,1,3,6,8,4] => [3,6,1,8,4,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,6,8,5,1,4,3] => [8,6,3,2,7,1,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,6,4,5,7,3,8,2] => [3,4,2,6,5,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,4,7,8,6,2,3] => [2,7,3,4,8,6,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,3,1,6,8,2,5,4] => [8,2,6,4,7,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,6,8,5,2,4,3] => [8,6,3,7,5,2,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,5,8,7,6,4,1,2] => [7,8,2,6,1,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,7,8,6,2,4,3] => [8,2,6,3,7,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,1,7,6,4,3,2] => [8,1,7,6,5,3,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,3,2,1,5,4,7] => [4,3,7,5,6,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,3,2,4,1,7,6] => [4,3,5,2,8,6,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,2,4,3,6,8,1] => [5,3,4,2,6,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,1,4,6,3,2,7] => [4,7,6,3,2,5,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,1,6,3,4,2,7] => [5,7,6,3,2,4,8,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,3,6,1,5,2,7] => [3,2,7,5,6,4,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,4,3,5,2,1,7,6] => [3,2,5,4,8,6,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,2,8,7,1,5] => [3,2,7,1,8,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,1,4,3,7,2,6] => [5,4,7,2,8,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,2,1,3,7,6] => [4,8,5,3,2,6,7,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,7,3,6,1,8,5,2] => [8,1,3,7,5,4,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,6,2,4,1,5,8,3] => [6,3,4,8,5,2,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,1,6,3,7,4,2,5] => [7,4,6,3,8,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,8,2,6,7,1,4] => [7,2,1,4,5,8,6,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,2,5,1,7,6,3,4] => [7,3,8,2,6,4,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,6,4,3,5,8,1] => [5,4,6,2,3,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,4,1,3,2,8,5] => [5,8,4,3,6,2,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,2,5,7,4,3,8,1] => [3,6,5,2,1,4,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,2,7,6,8,5,1,3] => [7,1,4,3,8,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,6,2,8,5,4,3] => [8,7,6,4,2,3,1,5] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,1,6,3,8,5,2,4] => [7,8,4,3,6,2,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,6,8,1,3,5,4] => [8,5,6,2,3,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,5,1,3,6,4] => [8,5,6,2,4,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,1,8,5,3,2,6,4] => [5,8,6,4,7,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,8,2,5,6,4,3] => [5,8,7,4,6,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,5,8,7,2,4,3] => [3,8,6,1,7,5,2,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,5,7,4,8,3,2] => [3,5,4,1,8,7,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,5,7,8,3,4,2] => [3,6,4,1,8,7,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,6,7,3,1,8,5,2] => [4,1,2,8,7,5,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,2,6,3,1,8,7,5] => [1,8,4,2,3,7,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,3,8,4,6,2,7] => [5,2,7,3,6,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,3,5,8,4,1,6] => [4,7,2,3,6,1,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,4,2,8,5,1,3] => [7,3,8,4,2,1,6,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,7,6,4,8,5,3,2] => [8,4,3,2,7,6,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,7,4,2,1,5,6,3] => [4,6,3,8,5,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,4,1,3,2,6,5] => [5,8,4,3,6,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,5,8,4,2,1,6] => [3,7,6,1,5,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,5,8,3,4,2,7] => [5,3,7,6,1,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,6,8,3,7,1,5] => [1,5,3,7,8,2,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,5,1,4,2,3,7] => [6,7,4,1,5,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,8,5,3,4,6,2] => [5,6,4,2,8,7,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,5,8,3,6,4,7,2] => [2,6,4,5,8,7,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,3,8,1,2,6,5,4] => [8,2,7,4,5,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,2,3,5,7,6] => [8,4,2,3,5,6,7,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,1,2,4,6,5,7,3] => [6,4,5,8,2,3,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,8,3,7,4,6,2] => [6,1,8,4,7,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,3,7,1,5,4,6,2] => [6,2,5,8,4,7,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,7,1,5,3,6,2] => [2,6,5,8,4,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,5,3,4,6,1,8] => [4,5,2,3,7,6,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,6,4,2,5,3,1,8] => [7,4,3,6,5,2,1,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[1,7,2,6,3,4,8,5] => [8,5,6,3,4,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,2,5,1,6,3,4,8] => [6,7,2,4,3,5,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,1,4,6,2,5,8] => [4,2,6,7,3,5,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,8,5,2,4,7,1] => [5,2,6,1,4,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,3,8,4,7,2,6,5] => [8,4,6,7,2,5,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,1,4,5,8,6,7] => [2,1,7,8,3,4,5,6] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,7,1,3,2,8,5,4] => [8,4,7,3,1,5,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,5,3,2,6,8,4,7] => [3,5,2,7,8,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,4,3,1,7,2,8,6] => [3,2,1,8,6,4,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,7,4,2,8,6,1,3] => [1,7,3,8,4,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,4,3,7,8,2,6,1] => [2,1,6,3,4,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,3,6,8,7,2,5,4] => [3,8,6,7,2,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,7,1,4,2,3,6] => [6,1,7,4,5,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,6,8,4,3,1,5,2] => [8,6,5,4,2,1,7,3] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[1,7,6,5,3,2,4,8] => [6,5,7,4,3,1,2,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,2,3,5,8,4,1,7] => [4,7,2,3,1,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,6,1,5,8,3,2] => [5,8,1,7,4,3,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,7,1,5,4,3,2] => [1,8,7,6,4,5,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,7,4,6,5,1,3,2] => [3,8,6,7,5,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[7,2,6,1,5,8,3,4] => [7,5,8,2,4,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,3,8,6,2,5,1] => [6,8,1,3,2,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,7,3,8,2,1,6] => [2,1,4,7,6,3,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,2,8,5,4,3,6] => [7,6,5,8,3,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,8,3,6,2,1,7] => [2,1,4,7,6,5,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,8,2,5,7,1,4,3] => [8,6,3,1,4,7,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,8,6,2,7,5,1,4] => [7,8,4,1,3,6,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,8,4,2,7,3,6,1] => [1,6,3,8,4,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,5,2,4,6,3,7] => [5,7,4,2,3,6,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,7,8,5,6,4,2,3] => [7,4,2,8,6,5,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,3,1,2,4,6,7,5] => [6,2,8,3,4,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,7,5,8,2,4,6] => [6,1,4,7,3,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,3,2,4,6,5,7] => [3,7,2,4,5,6,8,1] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,1,5,6,4,2,3,7] => [6,3,7,5,2,4,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,6,5,4,3,2,7] => [7,6,5,4,2,3,8,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,6,8,1,5,4,3,7] => [7,6,4,1,2,5,8,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,2,1,7,6,3,8,4] => [8,6,2,1,5,3,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[3,5,8,2,1,4,7,6] => [4,1,2,8,5,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,4,5,1,8,3,2,7] => [2,7,6,3,1,8,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,4,7,8,3,1,2,6] => [2,1,6,7,5,3,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,8,1,3,7,2,6] => [1,5,2,7,8,4,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,3,6,8,7,2,4] => [4,2,7,8,3,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,2,6,8,3,5,1] => [6,1,4,8,3,2,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,2,8,7,4,5,1] => [6,8,2,1,7,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,5,8,7,6,2,4] => [7,8,1,3,6,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,2,1,6,5,7,3,4] => [7,5,2,4,8,3,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,1,8,6,5,7,2,4] => [7,5,1,4,8,6,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,2,7,6,4,5,8,3] => [5,6,4,3,8,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,2,1,8,7,3,5] => [7,2,8,3,1,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,3,2,5,1,6,8] => [1,4,3,6,5,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,5,3,8,7,1,6] => [3,1,7,8,2,4,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,5,3,8,4,6,1] => [6,3,8,2,4,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,8,1,7,4,5,2] => [6,2,8,1,7,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,3,2,5,4,6,1] => [3,6,4,5,8,7,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,5,6,1,8,3,2,4] => [7,6,2,8,4,3,1,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,3,4,7,1,6,2,8] => [2,3,1,7,5,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,7,4,1,8,6,5] => [8,4,7,1,2,5,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,3,7,8,2,6,5] => [1,8,6,3,4,7,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,4,8,6,5,2,3] => [7,8,3,6,5,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,3,4,2,1,7,5,6] => [2,4,3,7,8,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,6,2,7,5,8,1,3] => [7,1,5,3,2,4,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,3,2,5,1,8,4,6] => [2,7,3,4,8,5,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,1,4,2,3,5,6] => [5,6,3,4,7,1,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,5,2,4,8,7,1,3] => [4,7,2,1,8,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,2,4,1,3,7,6] => [8,3,5,4,2,6,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,2,4,3,6,8,7] => [4,8,2,3,1,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[8,6,2,7,5,3,1,4] => [7,6,8,3,2,5,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,3,8,7,1,5,4,6] => [7,5,6,8,1,2,4,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,8,1,5,2,6,7] => [2,1,6,4,5,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,1,3,6,7,2,8,5] => [4,1,8,3,6,2,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,2,4,5,8,7] => [3,8,2,4,5,1,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,8,1,6,5,2,4,3] => [8,6,7,5,3,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,7,8,6,5,1,2,4] => [6,7,2,8,1,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,8,2,7,3,1,4] => [7,4,2,1,6,8,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,4,8,2,7,3,1,5] => [2,7,4,1,6,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,1,3,6,4,2,5] => [7,4,6,8,3,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,7,8,3,2,1,6] => [7,1,2,6,5,3,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,7,4,2,3,6,8,1] => [4,1,5,3,6,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,3,2,8,1,6] => [2,1,5,4,7,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,8,3,2,4,5,1,7] => [4,3,5,1,7,6,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,3,8,5,1,2,7] => [3,2,6,1,7,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,6,8,2,3,1,7] => [2,1,5,3,7,6,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,8,5,1,2,3,7] => [5,2,6,1,7,4,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,8,2,1,3,6] => [2,1,6,5,7,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,6,3,1,2,4,7] => [5,1,6,4,7,3,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,1,3,2,4,8,7] => [4,8,3,1,5,2,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,8,1,2,5,7,6] => [2,1,8,4,5,6,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,8,3,7,2,1,6] => [2,1,4,7,6,8,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,6,8,5,2,1,7,4] => [5,2,8,1,6,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,5,4,7,2,8,3] => [4,3,8,6,2,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,3,6,5,8,2,7,4] => [4,3,8,2,6,7,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,8,3,2,7,1,6] => [2,1,5,4,7,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,3,7,2,1,6,8] => [3,2,1,6,5,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,3,7,8,2,1,6] => [2,1,7,3,6,4,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,8,6,3,2,7,5] => [5,8,2,6,4,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,2,5,3,8,4,1] => [8,5,3,1,4,2,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,3,1,5,8,7,4] => [8,3,5,1,2,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,3,2,6,5,8,4] => [6,3,5,8,2,4,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,3,5,8,7,4,2] => [8,4,7,3,1,6,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,8,7,4,6,2,1] => [5,8,2,7,1,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,5,7,3,4,2,1] => [1,5,3,8,7,6,4,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,3,6,8,4,2,1,7] => [3,1,7,2,6,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,6,8,4,7,3,2] => [3,1,5,8,7,6,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,8,3,4,1,5,7] => [4,6,2,5,1,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,1,8,7,6,3,5] => [7,8,2,6,1,5,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,7,2,4,1,3,6] => [4,1,6,7,5,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,1,3,5,6,2,8,7] => [3,4,1,5,8,2,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,3,8,5,1,7,4,2] => [8,7,2,1,5,4,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,8,7,3,5,2,1] => [5,1,8,2,7,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,2,3,5,6,1,4,7] => [6,2,3,4,7,5,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,5,6,8,2,7,1] => [2,1,3,4,6,8,7,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[8,2,3,4,6,1,7,5] => [8,2,3,4,6,5,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,7,4,3,5,2,8,6] => [4,3,5,8,6,1,2,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,7,4,3,8,1,5,6] => [4,3,6,7,1,2,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,8,2,7,6,4,1,5] => [7,6,8,1,3,5,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,6,2,1,8,4,7] => [2,4,1,7,3,8,5,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,2,1,4,6,3,7,5] => [8,2,4,6,3,5,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,6,8,2,7,5,4] => [3,8,1,7,5,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,8,6,7,2,1,4] => [1,7,6,2,4,8,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,5,2,8,7,6,4,3] => [8,2,7,6,5,1,3,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,7,1,4,6,5,3,8] => [7,4,6,1,3,5,2,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,1,2,6,5,8,3] => [1,6,5,8,3,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,5,6,8,7,3,1] => [1,8,3,4,7,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,5,8,3,7,4,2,1] => [2,1,8,4,7,6,5,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,8,1,5,6,3,2,4] => [7,6,4,8,3,1,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,7,8,3,2,5,4,6] => [4,7,5,6,2,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,1,3,5,4,6,2] => [6,4,5,8,3,1,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,8,3,5,2,6,4] => [8,4,6,5,2,7,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,8,5,4,6,1,2] => [7,5,4,1,2,8,6,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,5,7,6,4,8,1,2] => [7,2,5,1,4,3,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,3,7,8,5,4,6,2] => [6,5,3,8,2,7,1,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,7,8,5,4,2,6] => [7,6,5,2,3,8,1,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,3,7,8,2,5,4,6] => [7,5,6,2,3,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,2,7,8,5,4,6] => [7,6,2,4,8,1,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,7,6,8,3,2,4] => [7,2,6,4,3,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,4,7,8,6,1,2] => [2,7,1,3,4,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,7,6,8,4,1,2] => [7,2,4,1,3,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,5,7,6,8,3,4,2] => [6,2,4,3,8,7,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,8,4,3,7,1,2] => [2,1,7,5,4,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,7,3,1,5,2,4,8] => [6,3,7,4,1,5,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,4,1,8,3,6,7] => [6,2,3,1,7,8,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,3,8,5,4,1,6] => [7,6,2,3,5,1,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,1,5,7,6,3,8,2] => [1,6,3,5,4,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,8,2,3,6,5,7] => [2,7,4,5,6,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,4,6,7,3,5,2,8] => [5,2,3,7,6,1,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,8,2,6,7,5,3] => [5,8,2,7,4,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,2,4,5,6,8] => [4,3,5,6,7,1,2,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,7,3,2,4,5,8,6] => [3,8,4,5,6,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,4,3,2,5,7,8] => [5,4,3,6,1,2,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,2,6,5,3,1,7,8] => [1,6,5,2,4,3,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,1,6,8,7,4,3] => [8,4,1,7,2,6,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,5,8,6,2,7,4] => [8,3,6,2,5,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,8,4,1,7,6,5] => [8,4,7,1,2,5,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,7,8,5,4,2,6,1] => [6,5,4,1,2,8,7,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,3,2,7,5,6,1,4] => [7,2,5,8,3,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,3,8,5,7,4,2,6] => [4,7,6,8,2,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,3,7,5,4,6,8] => [6,5,7,1,2,3,4,8] => [1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 4
[2,8,6,3,5,7,4,1] => [5,8,4,3,7,1,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,8,2,5,3,4,7] => [6,7,4,5,1,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,6,4,2,7,1,5] => [5,4,7,1,3,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,5,4,2,3,6,8,7] => [8,4,3,1,2,5,6,7] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[6,1,5,2,3,4,8,7] => [8,4,5,2,3,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,2,1,8,4,7,3] => [6,8,3,2,1,7,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,2,4,3,8,1,7] => [5,3,1,4,2,7,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,7,5,2,8,1,4,6] => [4,6,1,3,7,2,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,4,7,3,2,8,6] => [3,5,1,8,6,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,3,5,4,8,6,1,7] => [3,7,1,2,4,6,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,6,4,7,5,1,8] => [7,4,1,2,3,6,5,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,7,6,1,5,8,4] => [6,8,5,1,2,4,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,3,2,4,1,7,6,5] => [2,8,3,4,7,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,6,1,2,5,8,4] => [6,8,1,4,5,3,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,1,6,8,5,3,2] => [4,8,1,7,6,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,5,8,6,2,3,7] => [3,1,6,7,5,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,4,6,2,8,7,1] => [2,3,1,4,8,5,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,4,8,6,3,7,1,2] => [1,7,2,5,4,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,3,4,8,2,6,1] => [3,1,4,6,2,8,7,5] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,4,2,7,8,3,1] => [1,5,3,2,8,4,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,3,7,4,1,8] => [7,3,4,2,1,6,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,2,3,1,8,7,4] => [8,3,4,2,1,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,5,3,7,4,1,2,8] => [3,6,2,1,7,5,4,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,6,4,8,3,1,2] => [7,1,4,3,2,8,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,5,1,8,7,2,6] => [2,1,3,7,8,6,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,5,6,8,3,1,7,4] => [2,5,3,8,1,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,4,5,3,6,2,8] => [3,5,4,7,2,6,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,2,4,5,3,6,8] => [4,6,3,5,7,1,2,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,7,4,5,3,2,6,8] => [3,6,5,4,7,1,2,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,4,7,3,5,2,8] => [3,5,2,7,6,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,6,4,8,2,1,7] => [2,4,1,3,7,6,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,4,7,5,2,3,8] => [3,6,2,7,5,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,6,1,4,3,7,2] => [6,5,2,8,4,3,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,5,4,7,8,3,1,6] => [2,7,3,6,1,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,5,8,2,3,1,7] => [2,5,3,1,7,6,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,1,4,6,3,2] => [5,2,8,7,4,1,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,4,6,7,8,1,5,2] => [3,8,1,2,6,4,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,7,3,8,5,1,6,2] => [8,1,3,6,5,2,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,3,2,7,5,8,1,6] => [2,1,5,7,3,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,8,5,3,2,6,1,7] => [5,1,4,3,7,6,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,4,5,3,6,1,7] => [3,5,4,7,1,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,5,3,2,4,7,6] => [4,8,5,2,3,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,8,4,1,3,6,5,2] => [8,5,3,7,4,1,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,2,3,7,8,1,5,4] => [8,6,2,3,1,4,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,7,8,1,5,4,2] => [8,7,2,1,5,3,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,3,7,8,1,5,4] => [8,6,3,1,2,4,7,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,5,8,1,6,4,2,3] => [7,2,8,6,4,1,5,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,4,8,5,3,2,6,7] => [6,2,5,4,7,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,7,6,4,1,5,3] => [8,6,5,7,2,4,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,2,7,3,1,5,4] => [5,8,3,1,6,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,1,2,8,5,3,7,4] => [8,6,5,7,2,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,5,8,3,6,7,2] => [3,1,5,6,8,7,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,5,2,8,1,6,3,4] => [7,8,3,2,5,1,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,5,7,1,3,2,6] => [7,1,5,3,6,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,2,7,1,3,6,5] => [1,8,3,5,6,7,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,2,1,8,7,4,6,3] => [6,1,8,7,2,5,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,8,3,6,7,1] => [3,1,5,6,8,2,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,1,5,6,8,2,7,3] => [3,1,4,8,6,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,5,3,1,6,7,2] => [6,1,4,3,8,5,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,3,6,8,4,7,1] => [4,6,1,8,2,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,1,7,8,4,3,5] => [7,6,2,4,1,8,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,1,3,8,4,7,6] => [8,2,6,1,7,3,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,7,8,4,1,6,3] => [1,8,6,5,2,3,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,2,7,8,3,5,4,1] => [8,5,3,1,7,2,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,8,6,4,1,7,3] => [1,8,6,5,2,4,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,1,2,8,4,3,7,6] => [5,8,6,1,7,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,7,8,3,2,5,4,1] => [4,1,8,5,2,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,3,4,7,8,5,1] => [5,8,2,3,1,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,1,8,4,3,5,6] => [6,2,5,7,8,3,1,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,2,1,3,7,5,8,4] => [6,2,5,8,3,1,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,8,7,3,4,5,1,2] => [4,1,7,5,8,6,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,2,3,7,8,1,4,5] => [6,7,2,3,1,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,4,3,5,8,1,6] => [4,2,3,5,7,1,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,2,5,8,6,4,7] => [7,2,4,6,8,1,3,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,7,5,8,4,2,3,6] => [6,3,7,5,2,8,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,2,4,3,6,8,1] => [5,3,1,4,6,2,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,3,6,1,7,4,5] => [7,8,3,5,1,4,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,1,8,5,2,6,7] => [2,1,6,5,7,8,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,5,3,1,7,4,6] => [4,7,2,3,8,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,5,8,1,7,4,2] => [3,8,2,1,7,5,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,5,4,8,6,1,7,2] => [2,8,1,3,6,5,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,6,1,2,8,3,4] => [7,1,8,4,5,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,3,8,2,4,6,5] => [8,3,5,6,2,7,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,1,5,8,4,7,2] => [4,6,1,2,8,7,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,8,2,4,1,7,6] => [4,1,2,5,8,6,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,8,4,1,3,6,5] => [8,5,2,4,6,1,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,3,5,8,2,4,7,1] => [5,2,3,1,6,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,7,6,2,8,1,4,3] => [1,8,4,6,3,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,6,4,8,5,3,2,1] => [8,3,2,1,7,6,5,4] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,6,5,3,8,4,2,1] => [8,4,3,2,1,7,6,5] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[7,6,5,4,2,8,3,1] => [8,5,4,3,2,1,7,6] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[7,5,4,8,6,3,2,1] => [2,8,3,1,7,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[1,6,5,3,2,4,7,8] => [5,4,6,3,1,2,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,2,4,6,5,3,8] => [7,4,6,3,5,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,8,7,4,3,5] => [3,7,6,8,5,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,2,8,7,4,3,5] => [7,6,2,8,5,1,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,4,2,3,5,8,6] => [8,4,3,5,6,1,2,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,7,5,2,8,6,3] => [4,8,2,7,5,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,3,7,4,2,8,5] => [5,8,3,2,6,1,4,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,8,5,2,7,4,3,6] => [7,6,3,8,4,5,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,8,7,5,3,2,6] => [7,6,2,5,8,4,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,2,5,8,6,3,7,4] => [8,3,6,5,7,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,4,7,5,8,6,3] => [8,5,3,4,7,1,2,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,8,7,6,2,4,3] => [8,2,6,7,5,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,3,5,8,7,6,2,4] => [7,8,3,6,2,5,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,2,4,3,6,8,7] => [4,8,3,1,2,5,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,6,8,7,5,3,2,4] => [2,7,6,8,5,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,5,3,2,6,8,7,4] => [8,3,2,5,7,1,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,4,2,6,8,7,5,3] => [8,2,4,7,6,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,5,2,6,3,4,7] => [6,7,4,3,5,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,6,3,2,8,5,4,7] => [7,3,6,2,8,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,8,6,4,2,5,7] => [6,5,7,2,4,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,7,4,2,3,8,6] => [2,8,5,4,6,1,3,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,7,3,6,8,5,4,1] => [4,8,7,3,1,2,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,2,4,6,7,3,1] => [4,5,2,8,3,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,6,5,8,2,7,1] => [4,1,2,3,6,8,7,5] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,2,4,1,6,7,8,3] => [5,2,3,1,6,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,1,6,8,3,5] => [1,7,5,8,2,4,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,8,6,4,7,1,3] => [1,7,5,4,8,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,3,4,7,2,8,5] => [8,3,4,6,2,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,4,7,2,5,3,1,6] => [2,7,4,6,5,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,6,7,2,4,8,1] => [5,2,1,3,6,4,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,3,6,5,2,8,4] => [8,6,3,5,2,4,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,7,5,2,3,8,6] => [8,2,5,4,6,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,6,4,7,3,5,1] => [4,6,3,8,7,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,1,4,6,5,3,2] => [8,4,7,6,3,5,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,2,4,6,8,5,3,7] => [4,7,3,6,8,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,4,3,8,7,1,6,5] => [8,2,6,7,1,3,5,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,4,8,6,2,7,1] => [6,2,1,3,5,8,7,4] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,4,5,8,6,2,7,1] => [6,1,2,3,5,8,7,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,4,2,3,6,1,8,7] => [3,4,2,1,5,8,6,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,7,4,3,6,8,2] => [5,4,1,6,3,8,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,3,7,6,8,2,1,5] => [7,1,6,2,4,3,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,7,2,3,5,6] => [5,3,6,7,8,2,4,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,1,8,5,2,7,3,4] => [7,8,5,4,1,6,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,2,6,3,1,4,5] => [6,3,5,7,8,4,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,7,1,6,4,5,2,3] => [7,5,8,6,3,4,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,4,1,3,7,2,8,6] => [8,4,2,1,6,3,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,3,4,7,6,2,1,5] => [7,2,3,6,8,5,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,5,8,7,2,4,3,1] => [2,1,8,5,7,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,3,6,5,8,2,1,7] => [1,4,2,3,7,6,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,6,3,2,8,5,4,1] => [8,3,7,4,2,1,6,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,2,6,8,7,1,4,5] => [6,1,3,7,8,2,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,8,5,6,7,1,4] => [4,7,1,5,8,2,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,2,1,4,7,5,6] => [3,2,7,8,4,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,8,2,5,6,1,4] => [7,4,5,1,2,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,5,1,4,2,3,6,8] => [5,6,3,4,2,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,6,1,2,4,5,3] => [6,8,4,5,1,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,5,3,4,7,8,6,2] => [5,2,8,3,4,7,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,7,8,6,2,3,4] => [6,1,7,3,8,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,1,6,7,2,3,4] => [6,7,4,2,8,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,2,6,4,5,8,3] => [5,6,4,8,2,3,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,3,6,4,5,8,2] => [5,6,3,4,2,8,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,2,5,3,4,8] => [6,7,4,5,2,3,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,6,2,5,3,4,7] => [6,7,4,5,2,3,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,7,2,5,3,4,6] => [6,7,4,5,8,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,6,7,5,2,3,4] => [6,7,3,8,5,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,1,2,6,4,5,8] => [6,2,7,3,4,5,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,3,1,2,7,4,5,8] => [6,2,7,3,4,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,3,4,6,8,5,2] => [5,8,3,4,2,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,8,2,5,3,4,6] => [6,7,4,5,8,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,1,7,2,5,3,4,8] => [6,7,4,5,2,1,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,1,7,2,6,3,4,8] => [6,7,4,1,5,2,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,8,2,6,3,4,7] => [6,7,4,1,5,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,4,8,6,3,5,1,7] => [5,7,2,6,1,4,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,7,5,4,1,6,8] => [6,5,1,2,4,7,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,6,8,3,5,1,4,7] => [4,6,2,7,1,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,6,1,5,8,4,7] => [5,7,1,2,3,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,3,7,1,6,5,8,4] => [6,5,8,1,2,4,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,7,8,1,3,2,6] => [2,1,7,5,6,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,7,1,4,6,3,8] => [5,2,7,1,4,6,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,7,1,6,5,4,8] => [7,6,1,2,4,5,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,7,1,4,3,6,8] => [6,4,1,2,5,7,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,7,3,1,4,6,8] => [5,4,1,2,6,7,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,7,3,2,8,1,4,6] => [4,3,1,6,7,2,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,8,5,4,1,7,2] => [2,8,6,1,5,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,7,8,1,3,6,2] => [2,1,6,8,5,3,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,5,7,1,4,6,8,3] => [5,2,6,8,1,4,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,7,1,6,3,8,5] => [8,2,6,1,4,5,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,4,7,1,6,8,3,5] => [7,2,5,8,1,4,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,4,8,3,1,7,6,5] => [8,2,4,7,1,5,6,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,6,5,1,2,4,3,7] => [7,4,5,6,3,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,1,4,2,3,5,8] => [5,6,3,4,7,2,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,5,1,4,8,3,2,7] => [4,7,6,2,1,8,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,7,1,4,3,2,5,6] => [6,5,3,4,7,8,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,7,5,1,4,2,3,6] => [6,7,4,5,3,8,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,5,1,4,2,6,3] => [8,6,4,5,3,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,1,4,2,5,3,7] => [7,5,3,4,6,2,8,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,7,1,4,3,2,6,5] => [5,4,8,3,6,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,6,3,1,5,4,2] => [4,8,7,5,6,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,4,5,1,3,2,6,7] => [6,4,2,5,3,7,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,7,5,2,1,6,8] => [1,6,2,5,4,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,7,4,3,2,5,8] => [6,5,4,2,7,1,3,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,5,1,4,7,8,3,6] => [7,4,1,2,5,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,7,1,5,2,6,8] => [2,1,6,4,5,7,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,4,3,1,7,2,5,8] => [6,3,2,7,4,1,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,7,4,3,1,5,8] => [6,5,2,4,1,7,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,4,1,3,6,8,5] => [6,2,3,8,4,5,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,6,5,2,7,3,8] => [7,2,5,4,1,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,6,2,1,4,3,7,8] => [3,6,4,1,5,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,5,4,1,6,3,7,8] => [6,4,1,3,2,5,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,6,5,3,7,2,4,8] => [4,6,3,2,7,1,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,5,4,7,3,6,8] => [4,3,6,7,1,2,5,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,5,3,4,8,7,6] => [3,8,7,1,2,4,5,6] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,8,2,6,1,7,4,3] => [1,8,7,3,5,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,8,2,4,6,5,3] => [8,5,7,4,2,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,7,1,4,5,2,3] => [7,5,1,8,4,6,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,2,7,8,3,5,6,4] => [6,8,5,3,7,1,2,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,8,7,6,2,1,5,3] => [5,8,1,6,7,4,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[2,6,1,8,5,4,3,7] => [7,6,5,1,2,8,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,8,6,2,3,4,1,7] => [4,1,5,7,6,3,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,7,5,8,2,1,3] => [7,2,1,6,4,3,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,7,4,2,5,8,1] => [5,2,4,1,6,3,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,1,5,8,4,3,7] => [4,7,2,6,1,8,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,6,2,4,3,8,1] => [6,4,2,5,3,1,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,2,8,5,3,6,1,7] => [1,5,4,7,2,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,7,4,5,6,2,3] => [4,7,5,8,6,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,1,4,3,7,6,5] => [8,2,4,7,3,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,8,6,7,2,4,5] => [6,7,1,4,8,5,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,2,5,1,8,6,7,3] => [3,1,6,8,2,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,5,3,7,1,6,8,2] => [1,3,2,6,8,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,6,3,5,4,7,1] => [6,4,5,3,8,1,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,2,8,6,4,7,1] => [2,6,1,5,8,3,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,5,1,6,4,8,2] => [6,2,5,3,8,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,4,7,2,6,8,3] => [3,6,1,8,5,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,2,5,6,4,7,3] => [4,6,5,8,3,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,1,4,8,5,6,3] => [6,8,4,7,1,3,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,4,6,1,3,7,5] => [3,8,5,6,1,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,6,2,5,3,7,1] => [2,6,4,5,3,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,3,7,6,2,1,5,4] => [5,8,2,6,7,4,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,4,7,1,3,8,6,2] => [2,1,8,5,7,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,1,7,6,3,4,2,5] => [5,7,6,8,4,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,1,4,2,5,7,3,6] => [5,3,7,8,2,4,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,8,5,6,2,7,1] => [4,6,1,2,5,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,8,2,3,4,6,1,7] => [3,4,1,5,7,6,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,6,3,2,4,7,8] => [5,4,2,6,1,3,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,5,3,1,6,4,7,8] => [3,6,1,4,2,5,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,8,7,4,3,5,1,2] => [1,7,5,4,8,6,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,6,7,8,4,3,5,1] => [2,6,5,3,8,1,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,8,4,5,3,6,2] => [4,6,5,2,8,7,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,8,5,3,4,6,2] => [5,6,4,8,7,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,4,2,1,6,3,8] => [4,1,7,5,3,6,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,8,6,3,5,2,1] => [5,8,2,1,7,6,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,7,6,3,5,2,1,8] => [4,7,1,6,5,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,3,8,7,5,2,4] => [7,8,6,3,1,5,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,6,2,1,8,3,5,4] => [8,3,6,7,4,2,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,1,3,6,8,2,5,4] => [8,6,3,4,7,2,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,5,6,8,2,4,3] => [3,8,6,4,2,7,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,6,7,5,8,2,4,1] => [2,6,4,1,3,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,5,4,2,1,8,6,3] => [8,4,3,2,7,5,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,6,7,4,2,8,5,1] => [4,2,8,1,5,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,1,3,4,2,5,8] => [4,6,3,5,7,2,1,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,8,2,6,4,5,3,1] => [5,8,7,3,1,6,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,3,2,1,5,6,4,8] => [3,2,5,7,4,6,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,2,1,7,5,4,8] => [7,1,3,6,4,2,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,1,6,4,7,5,3,8] => [7,4,1,3,6,2,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,2,8,5,6,4,3,1] => [4,8,7,6,2,1,5,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,6,8,5,4,1,3,2] => [8,6,2,1,7,5,4,3] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,1,8,4,6,5,3,2] => [8,4,7,6,5,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,8,6,3,1,5,4,2] => [4,8,7,5,1,6,3,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,6,1,4,5,3,2,8] => [4,7,6,3,5,2,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,5,6,4,3,2,8] => [3,7,6,5,2,4,1,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,1,3,8,6,2,7,5] => [1,8,6,3,5,7,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,2,8,4,6,7,3] => [5,6,1,8,7,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,2,5,3,4,7,6,1] => [8,4,2,3,5,7,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,5,3,2,4,1,8,6] => [4,3,5,2,8,6,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,2,3,8,4,7,5] => [8,6,7,2,3,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,6,7,4,2,3,5] => [6,7,5,3,8,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,6,4,5,2,3,7] => [6,4,7,5,2,3,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,6,4,5,2,7,3] => [4,8,6,5,2,3,7,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,6,4,7,2,3,5,1] => [5,3,6,2,8,7,4,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,6,4,1,2,3,7,5] => [8,4,5,3,6,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,4,2,5,7,3] => [6,4,8,3,5,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,7,4,2,5,1,3] => [5,7,4,2,8,6,3,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,6,4,2,5,3,7,1] => [6,4,3,5,2,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,4,2,5,3,1,7] => [7,4,3,6,5,2,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,2,7,3,1,5] => [7,4,3,6,2,8,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,6,4,1,5,7,2,3] => [7,5,3,8,4,2,6,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,2,1,5,7,3] => [4,6,3,8,5,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,1,4,7,2,5,3] => [4,8,6,7,3,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,4,1,5,2,3,7] => [6,7,4,3,5,2,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,7,1,4,5,2,3] => [7,5,8,4,2,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,5,2,7,3,1] => [3,8,5,4,2,7,6,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,7,4,2,1,5,3] => [5,8,6,4,2,7,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,6,4,7,2,1,5,3] => [5,3,8,6,2,7,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,2,5,7,3,1] => [5,3,8,4,2,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,2,5,1,7,3] => [8,4,3,6,5,2,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,6,4,2,5,7,1,3] => [7,4,3,5,2,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,4,7,5,8,2,6,1] => [4,6,1,2,3,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,3,7,6,4,5,1,2] => [7,5,8,2,6,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,3,8,6,4,1,7,2] => [1,8,6,2,5,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,5,1,2,8,6,3] => [2,8,7,4,3,5,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,7,1,8,5,2,3] => [2,7,1,8,6,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,4,2,3,8,6,1] => [1,8,4,3,5,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,2,5,1,7,4,6] => [7,1,3,4,8,5,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,5,7,6,1,2,4,3] => [8,5,2,6,7,4,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,8,7,5,2,4,1,3] => [5,1,7,8,6,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[5,7,6,8,4,1,3,2] => [8,1,6,3,2,7,5,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,1,6,8,5,4,2] => [4,8,2,7,6,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,3,1,7,4,8,6,2] => [8,2,1,5,4,7,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,1,8,6,4,5,2] => [6,8,2,7,5,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,6,4,1,7,3,2,5] => [7,6,3,8,4,2,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,6,8,3,7,1,2,5] => [6,1,4,2,7,8,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,2,8,4,7,1,6] => [5,1,2,7,8,3,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,4,8,3,7,2,1,5] => [2,4,1,7,6,8,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,2,8,7,4,1,5] => [7,6,1,2,8,3,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,4,7,8,5,1,2,6] => [6,7,1,2,5,3,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,6,4,5,8,1] => [5,6,1,4,2,3,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,7,3,6,8,4,2,5] => [7,6,3,4,2,8,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,3,6,5,1,8,7,4] => [4,3,8,1,2,7,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,3,1,2,6,4,7,5] => [2,8,6,3,4,5,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,7,8,2,4,3,5,6] => [6,4,5,7,2,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,4,7,1,2,8,5] => [3,8,1,5,2,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,4,8,1,3,2,6] => [1,7,5,3,6,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,4,2,6,1,7,3] => [8,4,3,2,6,5,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,2,6,8,7,4,1,5] => [3,7,1,6,8,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,7,5,1,8,6,4] => [4,8,7,1,2,5,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,1,3,8,7,6,4] => [8,7,2,1,6,3,4,5] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,2,1,5,3,8,4,6] => [7,2,4,8,3,5,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,8,2,4,3,6,7] => [6,4,2,5,7,8,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,6,8,1,5,2,7] => [1,7,2,5,3,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,6,8,3,1,7,2] => [2,1,3,8,6,5,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,8,4,5,1,7,2] => [4,2,8,1,6,5,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,7,2,4,3,5] => [7,5,6,8,3,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,3,7,6,1,8,5,4] => [8,7,5,1,2,4,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,2,7,8,6,4,1,5] => [7,6,1,3,8,2,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,8,3,1,4,7,5] => [4,8,2,5,1,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,3,8,7,4,6,5] => [8,6,7,1,5,2,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,8,3,2,4,7,5] => [4,8,5,2,6,7,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,1,7,2,4,3,6] => [7,5,6,2,8,3,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,1,6,2,7,5,4] => [8,2,7,5,3,4,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,3,2,8,7,6,4,5] => [7,8,6,2,5,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,1,3,8,7,6,4,5] => [7,8,6,1,5,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,3,7,2,5,4,8] => [7,3,5,2,6,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,2,8,4,1,3,6] => [6,1,7,3,5,2,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,2,8,4,1,3,7] => [6,1,7,3,2,5,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,8,4,2,1,6,7] => [2,6,1,5,4,7,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,8,3,1,4,6,7] => [5,4,1,2,6,7,8,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[5,4,7,8,3,2,6,1] => [1,6,2,5,3,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,8,5,7,1,2,6] => [6,1,2,4,7,8,5,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[3,6,8,2,5,1,4,7] => [4,6,1,2,7,5,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,8,7,2,5,4,1] => [2,8,5,7,1,6,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,4,6,5,8,2,1,7] => [4,1,2,3,7,6,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,6,7,8,3,5,1] => [3,6,2,4,8,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,2,5,7,6,3,8] => [2,7,4,6,1,3,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,2,6,8,3,5,4,7] => [7,5,3,6,8,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,3,2,4,6,8,7] => [3,8,4,1,2,5,6,7] => [2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,8,7,6,3,2,4] => [7,2,6,8,5,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,5,7,6,3,2,4,8] => [2,6,5,7,4,1,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,3,2,4,7,5,8] => [3,7,4,5,1,2,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,3,2,4,8,7,5] => [8,3,7,4,1,2,5,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,7,6,4,3,5,8] => [6,5,7,4,1,2,3,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,8,7,5,2,4,6,3] => [6,8,5,4,7,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,5,2,4,6,3,8] => [5,7,4,3,6,1,2,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,4,2,5,3,6,8] => [6,4,3,5,7,1,2,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,7,5,2,3,6,4,8] => [7,4,5,3,6,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,5,2,6,3,4,8] => [6,7,4,3,5,1,2,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,3,7,4,2,5,8] => [6,3,5,2,7,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,2,7,5,4,8] => [7,3,6,4,1,2,5,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,4,7,5,2,6,3,8] => [7,2,5,4,6,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,6,4,8,7,5,2] => [3,8,7,2,4,6,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,7,6,4,2,5,8] => [6,5,7,2,4,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,2,4,8,5,7,6] => [8,2,6,7,1,3,4,5] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,3,8,7,5,2,4,6] => [6,7,5,8,2,4,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,6,3,2,8,7,5] => [8,2,4,3,7,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,2,8,4,7,5] => [8,3,6,2,7,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,3,5,2,7,4,8] => [7,3,5,4,1,2,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,6,3,5,2,8,7,4] => [4,8,3,2,7,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,8,3,7,5,2,4,6] => [6,7,3,5,8,4,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,4,7,1,5,3,8,2] => [2,6,5,1,8,4,3,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,3,8,2,6,4,7,1] => [6,2,1,4,5,8,7,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,3,8,2,6,5,7,1] => [1,6,2,4,5,8,7,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,6,1,8,3,4,7,5] => [8,5,6,1,2,7,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,7,1,4,8,2,3,6] => [6,4,1,7,8,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,5,7,1,4,3,8,2] => [6,5,2,1,8,4,3,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,6,1,2,4,8,3] => [6,1,8,4,5,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,4,2,8,5,7,6] => [8,2,3,6,7,1,4,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,7,5,3,8,4,2,1] => [1,8,4,3,2,7,6,5] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,2,1,4,8,5,7,6] => [1,8,2,6,7,3,4,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,3,1,4,2,6,5,8] => [4,2,7,3,5,6,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,1,8,2,6,3,7] => [7,5,2,1,6,8,3,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,3,1,8,2,6,4,7] => [2,7,5,1,6,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,5,1,4,2,7,3,8] => [7,5,3,4,2,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,8,7,4,5,2,3,6] => [6,4,7,5,8,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,2,6,8,7,3,4,5] => [6,3,7,8,5,1,2,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,3,7,8,4,5,6,2] => [5,6,3,8,2,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,3,1,6,5,7] => [3,4,2,7,5,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,5,2,8,1,7,3] => [2,8,4,3,1,6,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,2,1,8,5,3,7] => [7,3,2,6,1,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,2,6,1,5,8,3,7] => [5,1,7,2,3,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,4,2,3,5,8,1,7] => [3,4,2,5,1,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,4,5,1,7,3] => [4,8,6,5,1,3,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,2,4,6,7,1,5,3] => [8,3,6,2,4,7,5,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,1,8,3,2,7,4] => [5,8,6,2,1,7,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,4,3,7,2,8,6,5] => [8,2,7,3,5,1,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,3,1,4,5,7,6] => [3,8,1,4,5,6,7,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,1,7,2,8,4,5,3] => [6,8,7,4,2,1,3,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,3,2,1,5,6,7,4] => [3,2,5,6,8,4,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,2,6,7,8,4,5,1] => [3,6,1,4,8,2,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,6,4,1,3,8,2,7] => [5,1,7,3,2,8,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,4,5,1,6,3,2] => [3,8,7,5,4,6,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,2,7,8,1,3,5,4] => [8,5,6,2,1,3,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,8,4,3,7,2,6] => [5,4,1,7,8,6,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,1,6,7,2,5,4,3] => [8,7,5,3,6,2,4,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,5,2,3,6,8,4,1] => [5,8,3,2,4,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,4,6,5,3,2,7] => [7,3,6,5,2,4,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,2,7,6,5,4,3] => [8,7,6,5,2,3,4,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[3,2,8,6,1,5,7,4] => [6,8,1,5,2,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,7,4,5,3,1,8] => [4,7,6,2,1,5,3,8] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,8,2,5,3,4,1,7] => [5,7,3,1,6,4,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,7,5,4,1,2,3] => [6,1,7,8,5,4,3,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[7,4,5,6,1,8,2,3] => [2,7,3,8,5,4,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,1,8,7,4,5,2,3] => [7,5,1,8,6,4,2,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,8,7,1,6,3,2,5] => [7,1,6,8,4,5,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,2,7,5,3,6,1] => [6,1,5,8,3,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,3,8,2,5,4,6,7] => [6,2,4,5,7,8,1,3] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,6,2,5,8,7,3,4] => [4,7,2,8,6,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,8,7,2,3,5,4] => [8,5,2,6,7,4,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,8,7,2,5,3,4] => [7,2,8,5,6,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,5,2,4,8,3,6,7] => [4,6,2,7,8,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,4,5,8,6,3,7] => [7,3,4,6,8,1,2,5] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,8,2,5,4,7,6] => [5,8,2,4,6,7,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,6,7,5,2,4,8,3] => [6,2,8,5,4,1,3,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,7,4,2,5,8,3,6] => [5,3,7,8,4,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,4,3,7,5,2,8] => [3,7,4,2,6,1,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,5,4,7,2,3,8] => [6,4,3,2,7,1,5,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,7,3,2,6,4,8,5] => [8,3,6,4,5,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,8,2,3,6,7,4] => [6,2,8,4,5,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,2,6,8,5,4,7] => [4,7,2,6,8,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,7,8,5,4,2,3,6] => [6,7,5,4,2,8,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,3,8,4,2,6,5,7] => [4,7,2,5,6,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,7,4,2,6,5,8,3] => [3,6,5,8,4,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,5,8,3,7,4,2] => [3,2,8,5,7,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,4,8,3,2,5,6] => [3,6,5,7,2,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,3,6,4,5,2,7] => [5,7,3,6,4,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,4,7,3,2,8,5] => [3,5,2,8,6,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,7,2,3,6,4,1] => [8,4,2,5,7,6,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,6,1,5,4,8,2,3] => [7,5,4,8,3,2,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,3,2,1,8,4,5] => [4,3,7,8,5,2,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,5,1,3,7,2,8,4] => [8,4,6,3,2,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,8,7,3,4,2,1,5] => [4,1,7,6,5,8,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,8,5,3,4,6,2,7] => [4,5,3,7,6,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,1,6,5,4,3,8,2] => [6,5,4,3,8,2,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,3,6,4,5,8,2] => [5,6,3,4,8,2,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,5,3,6,4,8,2] => [6,4,3,5,8,2,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,8,7,1,2,6,3,4] => [7,1,8,4,5,6,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,7,3,8,6,2,4] => [7,1,8,4,3,6,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,2,5,8,7,4,1,6] => [7,1,3,6,8,2,5,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,5,8,7,3,1,6] => [1,7,3,6,8,2,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,8,5,7,2,1,6] => [4,7,1,2,6,8,5,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,4,8,5,7,2,1] => [5,2,8,1,3,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,8,2,1,7,4,3] => [8,4,2,1,7,5,6,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,1,3,2,6,8,7,4] => [8,3,5,1,7,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,3,8,7,2,1,4] => [1,7,3,2,6,8,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,6,2,4,8,5,7,3] => [6,8,4,2,7,1,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,1,6,5,8,7,2,4] => [4,1,3,7,8,6,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,8,5,3,6,7,1,2] => [4,1,3,7,5,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,7,3,5,4,6,2] => [6,4,5,8,7,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,6,3,2,5,4,7] => [4,7,5,6,3,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,2,4,7,5,6,3] => [6,8,4,7,2,3,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,5,8,3,1,7,2] => [2,3,1,8,6,5,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,2,1,5,7,3,4] => [7,3,5,8,4,2,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,2,4,1,5,3,6] => [7,3,5,4,6,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,6,5,1,2,7,8] => [2,1,5,6,4,3,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,8,3,7,6,4,2,1] => [8,1,7,3,6,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,8,7,2,6,3,5,4] => [8,6,7,4,5,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,8,7,6,5,1,3] => [7,8,1,6,5,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,4,2,7,6,5,3,1] => [8,2,7,6,3,5,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,2,5,7,4,8,6,3] => [8,3,5,4,7,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,2,1,8,7,5,3,4] => [7,8,6,2,1,5,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,8,7,4,5,2,1] => [5,1,8,7,2,6,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,5,3,2,8,1,7] => [5,1,4,3,2,7,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,8,3,4,1,5,6,7] => [3,5,1,4,6,7,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[1,3,7,5,4,8,6,2] => [4,8,5,2,3,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,6,3,8,4,2,7] => [2,7,4,3,6,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,5,3,8,4,1,7] => [7,4,3,1,2,6,8,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,7,3,8,4,2,6,1] => [1,6,3,5,2,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,6,5,4,8,1,7] => [5,4,1,2,3,7,8,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,7,5,4,8,2,6,1] => [4,3,6,1,2,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,1,2,8,4,6] => [2,7,1,8,4,5,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,8,7,2,5,4,1] => [8,5,1,7,2,6,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,7,6,1,5,3,4] => [7,8,5,6,4,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,4,1,7,5,2,3] => [7,3,1,8,6,4,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,1,4,6,7,5,2,3] => [7,3,4,8,6,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,4,8,1,2,7,5,3] => [2,8,7,4,1,5,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,4,6,7,2,5,3] => [8,3,6,4,7,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,1,7,4,5,3] => [6,8,7,2,4,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,1,6,2,7,5,3] => [2,8,7,5,3,4,6,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,4,7,6,3,1,2,8] => [2,1,6,7,5,4,3,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,4,8,1,5,2,7] => [3,7,1,5,2,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,8,4,1,5,2,7] => [7,5,1,4,2,6,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,8,6,4,1,5,2,7] => [7,5,1,4,6,3,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,6,5,7,1,3,4] => [6,7,4,2,3,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,6,1,3,2,8,7,5] => [1,8,4,7,3,2,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,1,4,8,2,3,6,5] => [3,8,5,6,7,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,3,6,7,1,8,2] => [1,3,2,4,8,6,5,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,7,8,3,5,2,6] => [5,7,2,6,3,8,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,1,3,5,2,8,7] => [4,1,5,8,3,2,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,1,4,8,3,7,6] => [8,4,1,2,6,7,3,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,1,2,5,4,8,7,3] => [4,8,5,7,2,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,4,1,7,3,5,6,2] => [5,2,6,8,7,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,1,2,5,7,3,6] => [5,7,2,8,3,4,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,5,8,6,2,1,7] => [7,1,2,3,6,5,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,7,2,1,6,5,4] => [8,2,4,7,5,6,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,5,6,4,1,2] => [7,4,8,6,1,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,8,7,5,6,2,1,4] => [7,6,4,8,1,5,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,7,5,6,2,4,1] => [6,4,8,7,1,5,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,7,5,6,4,1,3] => [7,4,8,6,5,1,3,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,5,6,3,8,2,7,4] => [2,8,4,3,6,7,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,3,8,4,7,1,5] => [5,7,2,8,1,3,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,6,3,7,2,8,4] => [2,8,4,3,6,1,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,5,3,6,2,8,4] => [8,4,3,6,5,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,5,7,3,4,2,8,6] => [4,2,5,8,6,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,8,3,4,2,7,6] => [4,2,5,8,6,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,1,4,2,7,8,3] => [6,4,8,3,2,1,5,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,5,1,4,2,8,7,3] => [4,8,7,3,2,1,5,6] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,5,4,2,8,6,3] => [4,3,8,7,5,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,6,8,3,7,2,4] => [5,3,1,7,8,6,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,5,2,1,4,7,6] => [4,8,1,5,3,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,4,8,2,6,7,1] => [3,1,2,5,6,8,7,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,4,7,1,8,6,3,2] => [1,8,2,7,6,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,4,8,2,6,5,3,7] => [7,2,6,4,5,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,5,1,8,3,4,2,6] => [5,7,6,2,8,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,8,1,7,4,3,6] => [7,6,1,8,2,4,5,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,4,8,2,6,7,3,5] => [7,2,5,8,4,6,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,7,3,4,1,8,5] => [4,5,2,8,1,6,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,5,7,8,2,4,3] => [3,2,8,6,4,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,7,2,6,4,8,5] => [8,6,2,4,5,1,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,8,6,7,3,4,2] => [6,2,4,8,7,5,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,5,8,7,2,4,3] => [3,2,8,6,7,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,2,5,8,6,7,4,3] => [5,8,3,7,6,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,6,5,7,3,8,4] => [4,3,8,6,1,2,5,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,7,5,8,6,4,2,3] => [3,7,2,8,6,5,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,6,5,8,1,2,7,4] => [8,5,1,3,2,6,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,4,7,8,1,6,3,2] => [1,8,2,7,5,3,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,6,8,1,3,7,4] => [2,8,5,1,3,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,6,5,8,3,2,7,1] => [3,1,2,6,5,8,7,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,5,8,7,1,6,4,3] => [8,2,7,5,6,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,6,8,5,2,1,4] => [7,6,2,3,1,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,4,7,8,5,6,3,1] => [5,3,8,2,7,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,7,8,5,1,3,2] => [8,2,1,6,3,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,4,6,5,3,1,2] => [3,7,1,8,6,5,4,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,8,4,7,5,1,3,2] => [3,1,8,6,7,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,6,1,2,3,5,4,8] => [7,3,4,5,6,2,1,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,7,6,4,2,1,5,3] => [5,8,6,4,7,3,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,8,7,5,2,6,4,1] => [8,5,4,7,1,6,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,7,5,1,2,6,4] => [8,5,6,1,4,7,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,8,3,7,1,4,6,2] => [3,1,6,8,5,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,7,4,2,6,5,1] => [4,8,5,7,1,6,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,3,2,4,7,6,1] => [3,1,8,4,5,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,5,1,4,3,6,7,8] => [5,1,3,4,2,6,7,8] => [1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,3,8,2,4,6,1,7] => [2,4,1,5,7,6,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,2,1,4,6,3,7] => [3,5,1,7,4,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,5,8,3,6,2,7] => [3,1,5,7,6,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,7,1,8,5,4,6] => [7,1,6,8,2,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,7,8,5,2,3,1,6] => [5,7,1,6,4,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,1,3,8,5,4,6] => [7,6,8,1,3,4,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,7,8,4,1,3,5] => [6,2,7,5,1,3,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,7,8,4,3,1,5] => [2,7,6,5,1,3,8,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,2,6,3,8,4,5] => [7,8,5,2,3,4,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,4,6,1,2,7,3] => [8,5,3,2,6,4,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,2,1,8,3,6,4,5] => [7,8,2,5,6,3,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,8,3,1,2,6,5] => [2,8,5,4,6,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,5,3,1,6,7,2] => [2,6,4,3,8,5,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,3,1,6,7,4,5] => [7,2,3,5,8,4,6,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,6,8,4,1,3,5] => [6,7,5,2,3,1,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,5,1,6,8,3,4] => [7,5,2,3,8,4,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,2,1,7,4,8,3,5] => [5,7,2,4,1,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,4,3,6,2,5,8] => [4,3,6,7,5,1,2,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,7,5,8,2,4,6,1] => [5,3,6,1,2,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,7,5,6,2,1] => [5,8,3,7,1,6,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,2,8,6,3,7,5,1] => [8,1,5,4,7,2,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,7,6,3,8,5,2] => [8,1,5,4,3,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,1,8,5,3,6,2] => [2,6,5,8,7,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,4,1,8,6,7,2,3] => [2,1,7,5,8,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,5,2,1,8,7,3,6] => [1,7,2,8,3,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,3,8,2,6,5,1] => [8,1,3,5,2,7,6,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,2,1,3,7,4,8,5] => [8,2,6,3,4,1,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,7,8,2,6,3] => [8,3,1,6,4,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,5,8,1,3,6,4] => [8,5,2,3,6,1,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,5,6,2,7,4,1] => [3,8,5,1,4,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,6,5,8,4,2,7,1] => [3,2,6,1,5,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,3,2,5,7,4,1] => [3,5,1,8,4,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,5,6,8,7,3,2] => [1,8,3,4,7,6,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,4,2,3,6,7,5,1] => [5,2,8,3,4,7,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,5,1,3,7,6,8,2] => [1,6,4,2,5,8,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,4,8,6,2,7,1] => [2,6,1,3,5,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,6,2,4,5,8,7,1] => [8,1,3,4,2,5,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,5,3,6,4,7,2] => [6,4,3,5,8,2,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,4,1,5,8,7,3] => [3,8,5,1,2,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,5,2,4,3,8,1] => [6,4,5,3,2,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,6,4,5,2,8,1,7] => [3,5,1,4,2,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,5,4,7,3,6,2] => [4,3,6,8,7,2,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,6,5,4,1,8,2,3] => [7,8,5,4,3,2,1,6] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[3,6,4,1,5,7,2,8] => [5,1,3,7,4,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,1,5,4,7,6,3,2] => [3,8,4,7,6,2,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,4,1,5,7,8,2] => [5,1,3,6,2,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,5,2,8,4,1,3] => [7,8,4,3,2,1,6,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[1,7,2,4,3,5,8,6] => [4,8,3,5,6,1,2,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,8,1,7,4,2,6,5] => [5,8,1,6,7,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,2,4,5,3,7,1] => [4,6,3,1,5,8,7,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,8,5,3,6,1,7,2] => [4,1,3,8,6,5,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,3,2,7,4,1,5] => [3,7,4,6,2,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,2,8,3,5,6,4,7] => [5,7,4,6,8,1,2,3] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,8,1,3,5,4,6,7] => [6,1,3,4,5,7,8,2] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[1,5,2,8,6,4,3,7] => [2,7,6,5,8,1,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,7,8,5,2,1,3,6] => [6,1,5,7,4,2,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,5,2,8,7,3,4] => [7,3,8,6,2,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,1,3,5,7,4,2,6] => [4,7,3,6,8,2,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,1,8,5,4,7,2,6] => [5,1,4,7,8,6,2,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,1,6,4,8,5,2,7] => [7,1,4,3,6,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,2,6,4,1,5,7,8] => [1,5,2,4,6,3,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,4,2,1,8,3,6,7] => [3,6,2,1,7,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,5,1,8,7,3,6] => [3,1,7,8,2,6,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,8,2,7,1,4,3,5] => [7,3,5,1,6,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,4,7,3,2,5,6] => [3,6,5,7,8,4,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,8,3,1,4,7,6,2] => [3,1,8,5,7,4,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,5,4,7,8,3,6] => [3,7,4,5,8,1,2,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,8,4,1,3,7,2,5] => [5,7,3,1,8,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,2,6,1,7,8,5,4] => [5,1,3,8,2,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,4,1,8,3,5,2] => [6,3,8,7,4,2,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,4,1,6,5,8,2,3] => [2,7,5,4,8,3,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,2,1,6,4,7,8,3] => [5,2,4,1,6,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,4,8,5,2,6,7] => [6,2,3,5,7,8,1,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,5,7,2,3,6,8,4] => [6,2,8,4,5,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,5,1,6,2,7,8] => [2,1,6,4,3,5,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[8,3,2,6,1,5,4,7] => [2,7,3,5,6,4,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,1,7,4,6,2,3] => [7,5,2,8,6,3,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,7,6,2,1,3,4] => [6,5,2,7,8,4,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,4,8,3,1,7,2,6] => [2,1,7,4,8,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,4,8,3,2,7,6] => [3,5,1,8,6,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,1,7,6,5,2,3] => [7,8,1,6,5,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,7,2,6,4,1,5] => [7,4,6,8,1,5,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,2,5,7,4,3,6,1] => [3,6,5,8,2,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,7,4,6,1,2,5] => [6,4,7,8,1,5,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,5,4,8,3,1,7,6] => [3,2,5,8,1,6,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,8,2,1,3,7,6] => [4,2,1,8,5,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,8,7,2,6,1,5,4] => [8,4,6,7,1,5,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,8,4,7,6,3,5,2] => [6,8,3,7,5,4,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,1,5,4,6,2,3,8] => [6,4,3,7,2,5,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,3,1,7,6,2,8] => [3,2,1,7,6,4,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,3,7,5,6,2,8] => [5,1,7,3,6,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,6,8,3,1,7,4,5] => [4,7,2,8,1,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,8,1,7,3,6] => [3,2,7,8,1,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,5,2,4,8,3,6,1] => [4,6,2,8,3,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,8,2,6,3,5,4,1] => [8,5,7,3,1,6,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,6,3,1,4,2,7,8] => [6,4,3,1,5,2,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,6,5,3,4,8,7,1] => [8,4,3,1,2,5,7,6] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,6,1,5,3,4,7,8] => [5,6,1,3,4,2,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[3,6,2,7,4,5,1,8] => [5,7,1,3,2,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,7,8,5,1,6,2] => [8,6,1,2,5,3,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,2,4,7,8,5,1] => [5,8,1,3,2,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,4,8,6,2,7,3] => [2,8,3,6,5,7,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,2,5,3,8,4,1] => [8,5,3,4,2,1,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,8,5,1,2,3,6,7] => [4,1,5,6,3,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,6,2,4,5,1,3,7] => [6,3,4,7,5,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,1,3,8,6,2,7] => [1,7,4,2,6,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,4,2,3,6,8,5,1] => [5,2,8,3,4,1,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,1,6,7,4,8,3,5] => [5,3,7,1,4,8,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,8,1,3,6,4,5,2] => [6,8,4,7,3,1,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,6,8,4,5,3,1] => [5,3,8,7,2,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,3,6,8,5,1,4,2] => [8,6,2,3,1,7,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,8,1,6,2,4,3] => [8,6,2,7,4,1,5,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,7,8,1,6,3,2,4] => [1,7,6,8,4,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,6,8,5,1,4,3] => [8,6,3,7,2,1,5,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,8,3,6,4,1,5,2] => [8,3,6,5,1,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,8,1,6,4,5,2] => [6,8,2,7,4,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,7,5,8,2,4,6,3] => [6,3,8,5,2,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,2,8,1,4,6,3] => [6,8,3,2,5,1,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,8,2,6,5,1,4] => [7,8,4,1,2,6,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,1,6,3,5,4,2] => [8,5,7,6,3,1,4,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,7,8,2,5,4,3,1] => [1,8,7,4,2,6,5,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[6,7,8,3,1,5,4,2] => [4,1,8,7,5,2,6,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,1,6,2,5,4,3] => [8,7,5,6,3,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,1,4,3,8,2,7] => [5,4,1,7,2,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,1,6,8,3,4,7,2] => [5,3,1,6,8,7,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,6,8,5,4,3,2] => [3,8,7,6,5,2,1,4] => [2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 20
[5,6,8,1,2,3,7,4] => [8,4,1,5,2,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,8,1,2,7,6,5,3] => [8,1,7,6,3,4,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,7,3,5,2,1,8] => [2,4,1,7,6,5,3,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,8,4,2,1,3,6] => [1,6,5,7,4,2,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,1,6,3,5,7,4,8] => [5,7,1,4,2,3,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,4,5,2,7,3,8] => [3,7,5,4,1,2,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,4,7,3,2,5,6,8] => [2,5,4,6,7,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,2,1,5,7,3,4,8] => [6,2,4,7,3,1,5,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,4,6,8,3,7,5] => [4,8,3,6,7,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,1,3,7,2,8,5,4] => [8,7,3,5,2,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,5,8,3,7,1,2] => [2,3,1,7,5,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,4,3,6,7,2,5] => [3,7,4,5,8,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,6,8,4,3,1,7,5] => [5,4,2,8,1,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,1,5,2,6,4,3,7] => [7,6,4,2,3,5,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,6,7,4,2,8,3,5] => [7,4,2,8,5,1,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,8,4,3,6,2,5] => [5,4,7,2,8,6,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,5,8,7,4,3,2,6] => [7,2,6,5,8,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,1,6,4,2,7,5] => [5,8,1,6,3,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,1,5,7,6,2,8,4] => [8,1,3,6,5,2,4,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,3,1,4,2,7,8,5] => [4,2,6,8,3,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,4,3,7,6,1,8,5] => [8,2,6,1,3,5,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,7,6,8,3,2,5] => [7,6,2,4,3,8,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,1,5,6,3,8,4] => [4,8,2,6,3,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,3,1,8,6,2,7,5] => [1,8,2,6,5,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,5,2,8,7,6,4] => [8,1,3,7,6,2,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,1,8,7,4,3,5] => [7,6,2,8,1,5,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,1,8,3,2,6,4] => [5,8,6,2,7,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,7,6,3,1,8,2,5] => [7,1,4,8,5,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,3,1,8,6,2,4,7] => [2,6,1,7,5,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,4,2,8,6,3,7] => [3,2,7,6,8,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,1,6,4,2,5,7] => [2,6,5,7,3,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,8,1,4,2,6,3] => [1,8,6,4,5,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,3,8,1,7,5,4] => [8,7,3,1,2,5,6,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,5,1,8,6,3,7,4] => [2,8,6,1,5,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,4,2,7,5,3,6] => [3,7,6,8,4,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,1,7,2,8,4,3] => [8,7,5,3,2,1,4,6] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[2,8,1,7,5,3,6,4] => [8,6,5,7,1,3,4,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,8,7,6,4,3,5] => [7,6,8,5,4,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,1,7,8,6,3,5,2] => [6,1,3,8,7,5,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,6,5,7,8,4,2,3] => [3,2,7,4,8,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,8,7,6,3,5,2] => [6,8,1,7,5,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,8,5,3,6,2,7] => [1,5,4,7,6,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,2,5,3,1,7,8] => [6,3,2,5,4,1,7,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,1,5,3,2,7,8] => [6,5,3,2,4,1,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,2,1,5,4,3,7,8] => [6,2,5,3,4,1,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,1,8,5,4,6,2,7] => [5,1,4,7,6,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,8,4,5,3,2,7] => [4,7,6,5,1,8,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,5,2,7,1,6,3,8] => [1,7,3,2,5,6,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,3,5,7,1,6,8,2] => [2,1,3,6,8,5,4,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,3,8,4,5,1,7,2] => [4,8,2,1,6,5,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,1,8,5,7,4,3] => [5,2,8,7,1,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,8,4,5,2,1,7] => [4,7,2,1,6,5,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,8,7,2,3,4,1] => [5,2,1,6,8,7,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,3,8,4,5,2,7,1] => [4,6,2,1,5,8,7,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,2,6,8,5,4,7,1] => [3,6,1,5,8,2,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,8,5,2,6,3,7] => [1,7,5,4,6,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,6,8,5,2,4,7] => [6,1,3,7,5,8,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,8,7,4,1,2,3] => [6,2,1,7,8,5,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,5,8,7,4,2,1,3] => [2,1,7,6,8,5,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,5,8,7,2,4,1,3] => [5,2,1,7,8,6,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,2,8,4,5,7,1,3] => [4,7,5,1,8,2,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,8,4,5,7,3,2] => [4,5,1,8,7,6,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,2,7,3,5,8,6,1] => [1,8,4,5,2,3,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,2,4,8,5,7,1] => [6,8,1,3,2,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,5,4,3,8,6,1] => [4,3,8,5,1,2,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,1,8,4,7,6,2] => [2,8,1,5,7,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,1,8,5,4,7,2] => [6,5,1,2,8,7,3,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[2,4,8,3,7,6,5,1] => [8,7,2,4,6,1,5,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,6,8,2,5,7,4,1] => [5,2,8,1,4,7,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,8,5,4,3,7,1] => [2,6,5,4,8,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,8,2,5,4,7,1] => [6,4,1,2,5,8,7,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,6,8,3,2,5,7,1] => [5,1,4,2,6,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,1,8,5,7,4,2] => [5,2,8,1,7,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,2,6,8,4,1,7,3] => [3,1,8,6,2,5,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,3,8,7,2,5,1] => [6,1,2,8,3,7,5,4] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,4,8,7,6,3,5,1] => [6,8,7,2,5,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,1,6,3,2,8,4] => [5,8,6,3,2,4,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,7,6,3,1,2,8,4] => [1,8,5,4,6,3,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,3,8,5,7,2,4,1] => [6,4,1,8,2,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,5,4,8,6,2,3,7] => [3,2,6,7,5,8,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,1,7,5,3,6,4] => [8,6,2,5,7,3,4,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,1,6,7,3,5,4] => [8,6,2,4,7,3,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,8,1,7,5,3,4] => [7,8,6,2,1,4,5,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,2,7,8,1,3,4] => [6,1,7,3,2,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,5,2,6,3,7,1] => [2,6,4,3,5,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,5,6,4,8,3,7,1] => [2,4,3,6,8,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,2,4,7,8,1,6] => [2,7,3,1,4,5,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,2,5,7,3,8,1,6] => [3,1,5,7,2,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,7,4,6,8,3,2,5] => [7,3,6,4,2,8,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,1,3,7,8,2,6] => [7,4,2,1,5,8,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[6,1,5,8,3,7,2,4] => [5,3,7,1,8,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,3,5,7,8,2,6] => [7,3,1,4,5,8,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,1,5,8,4,3,2,7] => [3,7,6,5,1,8,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,2,1,6,8,3,5,4] => [8,6,2,4,7,3,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,6,4,1,8,3,2,7] => [1,7,6,3,2,8,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,5,2,1,7,8,3,6] => [1,7,3,2,5,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,3,7,8,5,1,6,4] => [8,6,5,1,2,3,7,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[4,1,7,6,2,3,8,5] => [1,8,5,6,4,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,6,7,4,3,5,8] => [6,5,3,7,1,2,4,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,8,6,3,4,1,2,7] => [1,6,4,7,5,3,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,3,1,8,5,4,7] => [7,2,3,6,1,8,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,1,2,6,4,8,3,7] => [5,4,7,1,8,2,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,6,2,3,7,5,1,4] => [7,8,3,4,2,6,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,3,6,7,4,5,1] => [6,4,8,3,7,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,6,7,2,8,4,1,3] => [1,7,2,8,4,3,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,3,6,4,1,7,2] => [1,8,3,6,5,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,3,8,5,2,7,1,6] => [1,5,2,4,7,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,8,4,5,1,6,3,7] => [3,7,5,1,4,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,5,8,1,3,4,7,6] => [8,4,1,2,5,6,7,3] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,6,1,3,8,2,7,5] => [1,8,4,6,2,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,6,1,2,3,5,7,4] => [6,8,3,4,5,2,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,7,8,3,2,4,6] => [6,5,1,7,3,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,1,7,6,2,8,5,4] => [8,7,1,5,4,2,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,2,8,6,7,3,1] => [2,1,5,8,7,3,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,2,6,8,4,5,1] => [6,4,8,1,3,2,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,6,2,7,8,3,1] => [2,1,5,3,8,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,8,6,4,2,7,3] => [1,8,6,5,4,7,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,1,8,5,7,4,3] => [5,8,7,2,1,6,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,4,6,2,3,1,8,7] => [4,2,1,5,3,8,6,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,5,7,8,1,3,4,2] => [6,2,1,8,5,3,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,1,7,6,8,4,5,3] => [6,4,3,8,1,7,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,4,7,2,8,3,1,5] => [2,7,4,1,6,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,2,7,8,4,5,1] => [6,2,4,1,8,3,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,8,2,7,6,5,3] => [8,7,2,6,4,5,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,7,3,1,5,2,8,6] => [1,5,3,8,4,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,3,6,5,2,8,1] => [6,1,3,5,4,2,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,6,3,1,5,8,2] => [6,1,4,8,5,3,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[2,4,7,3,8,5,1,6] => [7,2,4,6,1,3,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,7,5,2,1,4,8,3] => [4,6,1,8,5,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,2,6,8,3,4,7,5] => [8,5,3,6,7,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,8,2,7,3,5,6,4] => [6,8,5,7,3,4,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,4,8,6,5,3,2] => [8,7,3,2,6,5,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,3,5,7,4,8,2] => [4,6,3,2,5,8,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,4,7,2,8,3,6] => [3,2,7,8,5,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,8,5,2,6,1,7,4] => [8,4,1,3,6,5,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,7,4,8,5,2,6,1] => [6,3,5,1,2,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,7,1,3,4,2,5] => [5,7,4,1,6,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,8,6,1,4,2,5] => [7,5,6,1,2,8,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,1,5,2,7,8,4] => [6,1,4,8,3,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,1,6,8,3,4,2,5] => [5,7,6,3,8,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,1,2,6,3,5,7,4] => [6,8,5,2,3,4,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,7,8,4,2,5,6,1] => [5,4,6,1,2,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,8,2,7,5,4,1,3] => [7,1,8,6,3,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,8,7,1,2,6,5] => [1,8,2,5,6,7,4,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,3,8,4,7,1,6,2] => [4,1,8,2,6,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,2,8,7,1,6,4,5] => [7,8,1,5,6,2,4,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,7,8,5,1,4,6,3] => [6,8,5,4,1,2,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,5,8,7,4,1,6,2] => [8,2,6,1,5,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,6,8,3,5,1,2] => [7,2,5,3,1,8,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,7,8,1,3,6,4,5] => [7,8,4,5,1,2,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,8,1,5,4,6,3] => [6,5,8,4,1,2,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,6,7,8,2,4,1,5] => [5,2,7,1,6,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,7,8,6,3,1,2] => [7,1,2,3,8,6,5,4] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,4,6,8,7,3,1,2] => [2,1,3,7,8,6,5,4] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[4,5,8,6,7,1,3,2] => [8,1,2,6,4,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,7,6,8,2,1,3,4] => [1,6,5,7,3,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,6,8,2,4,1,5] => [5,7,6,1,3,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,4,7,8,6,3,1,2] => [1,7,2,3,8,6,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,7,3,4,2,1,6,8] => [3,1,6,5,4,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,5,3,8,4,7,2] => [6,3,8,4,1,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,6,2,5,4,7,3] => [6,5,8,4,3,7,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,4,1,7,5,2,6] => [3,7,1,6,8,4,5,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,2,7,4,8,3,1,5] => [4,7,6,2,1,3,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,8,5,1,4,3,7,6] => [5,8,4,1,3,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,8,2,7,5,1,4,3] => [8,6,1,7,3,5,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,3,6,4,7,2,1,8] => [4,2,1,3,7,6,5,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,2,6,5,7,3,1,8] => [1,4,3,7,2,6,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,2,6,5,8,4,1,7] => [4,1,3,7,2,6,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,6,5,8,7,1,4] => [4,1,3,7,8,2,6,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,2,6,5,8,7,1,3] => [1,4,3,7,8,2,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,6,4,8,7,1,3] => [4,3,1,7,8,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,7,6,8,2,1,3] => [1,7,2,6,4,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,7,5,8,3,1,2] => [7,2,1,4,3,8,6,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,2,7,5,8,4,1,6] => [4,7,1,6,2,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,7,6,8,5,1,2] => [7,1,4,2,3,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,3,7,6,8,2,1,4] => [1,7,6,2,4,3,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,7,2,8,6,1,4] => [7,1,8,2,4,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,6,4,8,7,1,5] => [7,1,3,8,2,4,6,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,7,6,8,3,1,4] => [1,7,6,4,2,3,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,2,7,6,8,4,1,5] => [7,6,1,4,2,3,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,2,7,6,8,5,1,4] => [7,4,1,3,8,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,2,7,5,8,4,1,3] => [7,4,3,1,8,2,6,5] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,8,1,7,3,2,5,6] => [1,6,5,7,8,3,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,4,8,2,1,5,6] => [3,6,1,5,7,2,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,2,5,4,6,1] => [6,4,5,1,2,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,7,5,8,3,2,6,1] => [3,6,1,5,2,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,4,1,5,3,2] => [8,7,5,4,6,3,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[3,8,5,2,6,4,7,1] => [6,4,1,3,5,8,7,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,2,5,3,4,8,1,6] => [4,5,2,3,7,1,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,5,3,7,8,6,1] => [3,1,5,8,2,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,3,6,2,4,1,8,7] => [2,4,1,5,3,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,8,2,6,3,7,4,1] => [1,8,5,3,4,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,7,5,6,4,3,8,1] => [3,6,5,4,1,2,8,7] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[3,8,5,7,6,4,2,1] => [8,3,7,6,1,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,8,6,3,5,4,2,1] => [8,4,1,7,6,5,3,2] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[2,7,6,3,8,5,4,1] => [8,7,4,3,1,2,6,5] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[7,4,2,5,6,3,8,1] => [4,2,6,3,5,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,7,5,3,8,4,1] => [8,5,4,2,1,3,7,6] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[2,4,8,3,7,5,6,1] => [6,8,2,4,7,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,3,7,5,6,2,1] => [5,8,1,3,7,6,4,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,2,5,8,3,7,4,1] => [3,8,5,1,7,2,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,2,5,6,3,7,4,1] => [3,8,5,2,4,7,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,5,3,7,1,2,6,8] => [1,5,3,2,6,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,7,3,2,8,4,1,5] => [3,7,4,1,6,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,7,8,3,1,5,2,6] => [7,1,5,4,6,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,8,1,3,2,6,7] => [1,6,4,2,5,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,7,1,3,8,6,5,2] => [8,1,7,4,6,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,7,4,3,8,1,5] => [5,4,2,7,1,3,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,7,6,4,5,8,1,2] => [4,7,5,1,3,2,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,2,8,3,4,6,1] => [5,1,6,8,3,2,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,1,5,8,6,4,7,2] => [6,1,3,5,8,7,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,3,8,6,4,5,7,1] => [5,6,4,8,1,2,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,3,8,6,4,7,5,1] => [8,5,4,7,1,2,6,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,2,8,7,4,5,1] => [6,2,8,1,7,3,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,6,1,8,7,3,4] => [2,7,3,8,1,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,2,8,4,7,5,1] => [8,5,1,2,7,3,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,3,8,6,7,5,4,1] => [4,8,7,6,1,2,5,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,6,3,1,4,2,7] => [7,5,4,2,6,3,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,5,1,6,4,2,7] => [7,2,6,4,3,5,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,5,1,8,6,4,2,7] => [2,7,1,6,5,8,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,3,8,6,4,2,1] => [2,8,7,3,1,6,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,1,3,8,6,4,2,7] => [7,6,3,1,5,8,2,4] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,5,8,3,6,4,2,7] => [2,7,4,6,5,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,3,6,4,2,1] => [2,8,4,1,7,6,5,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[3,7,5,8,2,6,4,1] => [3,8,5,1,2,7,6,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,7,8,1,4,6,2,3] => [1,7,5,8,4,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,3,7,8,4,2,6,5] => [5,8,6,2,3,7,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,1,2,5,3,4,7,8] => [5,6,2,3,4,1,7,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,1,2,5,4,3,7,8] => [6,5,2,3,4,1,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,7,3,5,4,1,2,8] => [3,6,1,7,5,4,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,1,6,7,3,5,4,2] => [8,5,3,7,6,2,4,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,2,5,1,3,7,6,8] => [7,2,1,4,3,5,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,3,2,6,8,4,7,5] => [4,8,2,6,7,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,2,5,4,1,6,7,3] => [6,4,2,3,8,5,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,7,5,4,2,6,3] => [8,6,5,4,7,2,3,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[1,2,6,4,7,3,5,8] => [4,6,3,7,1,2,5,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,6,4,3,7,2,5,8] => [4,3,6,2,7,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,8,3,2,6,1,4] => [1,5,4,7,2,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,5,1,3,7,6,2] => [2,8,5,3,7,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,4,3,7,1,5,2] => [4,3,8,6,2,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,6,8,1,3,2,4] => [7,5,2,6,3,1,8,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,3,1,8,6,5,2,4] => [7,8,2,6,5,3,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,3,1,4,8,6,5] => [8,3,7,1,4,5,2,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,6,5,7,8,4,2] => [4,1,3,5,8,7,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,3,1,5,8,7,6,2] => [1,8,2,7,4,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,3,2,5,6,8] => [5,3,1,4,6,7,2,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,1,6,7,3,2,8,5] => [1,5,3,8,6,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,4,8,6,1,7,3,2] => [1,8,2,7,5,4,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,5,4,7,1,8,6,2] => [2,8,1,3,7,5,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,3,6,4,5,2,8] => [5,7,3,6,2,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,3,8,4,5,2,7] => [5,7,3,6,1,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,8,7,3,6,5,4] => [8,7,5,6,1,4,2,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,6,3,1,2,7,4] => [1,8,5,4,6,3,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,2,7,1,3,6,4] => [8,3,1,5,6,7,4,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[2,6,5,4,1,3,7,8] => [5,6,4,1,3,2,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,1,5,7,6,3,2,8] => [1,7,3,6,5,2,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,4,2,1,8,7,3,6] => [7,2,1,8,3,6,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,1,5,4,3,8,7] => [5,2,4,8,3,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,2,5,6,8,7,3] => [2,8,4,5,7,1,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,3,6,7,8,4,1] => [4,2,5,8,1,3,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,6,2,4,3,5,7] => [6,4,5,7,3,8,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,2,4,5,7,8,1,6] => [1,7,2,3,4,5,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,3,4,7,5,8,6,1] => [8,5,1,2,3,4,7,6] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[6,5,2,8,7,4,3,1] => [2,1,8,7,6,3,5,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,8,5,4,2,1,6,3] => [5,8,6,4,3,1,7,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,2,8,6,4,3,1] => [2,8,7,6,3,1,5,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,8,3,2,6,5,4,1] => [8,3,7,4,1,6,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,2,5,3,1,4] => [7,4,6,2,8,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,6,2,7,8,4,5,3] => [6,4,2,8,7,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,6,2,7,5,4,1,3] => [7,8,6,3,2,5,4,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[1,6,8,2,7,5,3,4] => [7,2,8,6,4,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,7,4,3,8,6,2] => [4,1,8,5,3,7,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,8,6,4,2,3,5] => [6,7,5,2,8,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,2,8,6,4,1,3,5] => [6,7,5,8,2,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,5,3,7,4,2,6,8] => [6,3,2,5,7,1,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,7,6,4,3,2,8,5] => [5,4,8,6,3,1,2,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,2,7,4,3,8,6,5] => [8,4,7,5,1,2,3,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,4,2,3,7,8,6] => [6,3,2,8,1,4,5,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,2,7,6,3,5,8,4] => [6,8,5,4,1,2,3,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,1,3,2,6,5,7,4] => [6,3,5,8,2,4,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,3,7,2,8,1,6,5] => [1,8,2,4,6,3,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,5,6,1,8,4] => [4,8,1,6,2,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,6,1,3,2,8,4] => [5,8,4,2,6,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,5,1,6,3,8,2] => [2,6,5,3,8,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,5,6,1,4,3,8,2] => [6,5,2,8,4,3,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,2,8,5,7,1,4,3] => [8,6,4,1,7,2,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,8,5,7,1,3,2] => [8,2,1,6,4,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,3,4,1,6,2,8,7] => [2,5,3,1,8,4,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,5,7,3,4,1,8,2] => [4,2,1,8,6,5,3,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[5,2,7,6,8,1,4,3] => [1,8,6,4,2,3,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,3,6,1,8,2,5,4] => [8,2,6,7,4,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,2,8,1,6,3,5,4] => [8,6,7,2,4,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,6,5,4,1,2,7] => [6,7,2,5,4,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,7,1,2,8,3,4] => [7,8,4,2,1,5,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,5,6,8,1,2,4] => [6,3,7,1,4,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,5,2,4,1,7,3] => [8,4,6,5,3,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,6,5,2,4,1,7,8] => [4,6,1,5,3,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,8,5,2,4,3,1,7] => [7,4,1,6,5,3,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,4,2,8,6,7,1,5] => [7,1,2,5,8,3,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,1,6,2,5,8,4] => [6,8,1,5,3,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,7,2,5,1,8,3] => [8,1,4,2,6,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,2,5,1,7,8,4] => [6,1,3,4,2,8,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,8,5,2,4,7,1,6] => [4,5,1,3,7,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,1,4,2,5,8,6,3] => [3,8,5,7,2,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,5,1,2,4,3,6] => [7,4,5,6,3,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,1,4,3,6,7,2] => [5,4,1,6,8,3,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,3,8,6,4,1,5] => [7,6,8,2,3,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,7,6,3,1,2,4,8] => [5,1,6,4,7,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,7,8,2,1,3,5] => [6,1,5,2,7,3,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,3,2,1,7,5,4] => [3,8,4,7,5,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,3,4,1,7,8,2,6] => [2,3,1,7,5,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,3,6,2,4,8,7] => [8,3,5,2,1,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,5,7,6,8,2,4,3] => [8,2,6,4,3,7,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,1,3,8,4,2,6] => [7,4,1,6,8,3,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,2,4,3,5,8,7] => [4,8,3,5,1,2,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,3,7,6,1,8,4,2] => [1,8,7,2,5,4,3,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,5,6,3,7,8,4,2] => [2,5,3,8,4,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,6,3,8,4,2] => [8,2,5,4,3,7,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,3,5,6,1,8,4,2] => [3,8,2,7,5,4,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,3,6,1,5,8,4,2] => [5,8,2,7,4,3,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,3,7,8,5,4,2] => [4,2,8,7,3,6,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,7,8,6,3,5,4,2] => [8,5,2,7,6,4,1,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[3,7,5,6,1,8,4,2] => [3,8,7,1,5,4,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,2,8,4,7,3,1] => [1,5,2,8,7,3,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,7,5,4,6,1,2,8] => [6,4,1,3,7,5,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,3,4,7,6,8,1,2] => [7,2,1,3,5,4,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,5,4,6,1,2,8] => [6,2,4,3,7,5,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,6,3,4,1,2,8] => [1,6,4,7,5,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,5,4,1,2,7,6,8] => [7,1,4,3,2,5,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,4,1,2,7,6,8] => [2,7,4,3,1,5,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[7,8,3,1,2,5,4,6] => [7,4,3,5,6,1,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,8,5,1,3,2,4,6] => [6,4,5,7,3,1,8,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,1,3,8,6,2,4] => [7,8,4,2,6,3,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,6,1,3,8,2,4] => [5,1,7,8,4,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,1,3,7,6,2,4,8] => [6,7,3,1,5,2,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,2,4,8,1,7,6] => [2,8,3,1,4,6,7,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,8,5,3,2,7,1,4] => [5,4,1,7,3,8,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,3,7,2,6,5,1,4] => [7,8,2,4,6,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,2,7,1,3,8,5] => [1,8,3,5,2,6,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,5,1,8,7,2] => [4,1,2,3,8,7,5,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,7,1,5,3,2,6,4] => [5,8,6,3,4,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,5,1,4,7,2,8,6] => [8,1,4,2,6,3,5,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,8,7,3,2,6] => [7,3,1,6,8,5,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,5,2,3,7,8,1,4] => [7,3,4,2,1,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,5,3,8,4,2,7,6] => [5,2,8,3,6,7,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,4,2,1,8,3,7,6] => [8,3,2,1,6,7,4,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,4,8,2,3,5,1,6] => [4,2,5,7,6,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,1,3,2,6,7,5] => [4,6,2,8,3,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,5,2,7,3,1,4] => [7,4,6,3,2,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,1,6,8,4,2,7,5] => [5,1,3,8,6,7,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,2,8,3,6,7,4] => [6,2,8,5,7,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,6,2,3,7,4,1,8] => [7,3,1,4,2,6,5,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,4,8,5,3,6,7,2] => [5,2,4,6,8,7,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,5,6,3,1,8,4,7] => [4,2,7,1,3,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,1,2,7,8,6,3] => [1,5,2,8,7,3,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,6,7,5,1,2,8,3] => [8,1,5,2,6,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,8,1,4,5,3,6] => [5,7,2,4,6,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,4,6,3,1,5,7] => [3,6,5,7,1,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,4,1,5,8,2,6] => [5,1,3,7,8,4,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,8,4,1,7,2,5,6] => [6,1,3,7,8,4,5,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,7,5,1,3,8,2,4] => [5,7,1,8,4,3,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,5,1,3,6,7,2,4] => [7,4,5,2,8,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,4,1,3,6,7,5] => [6,2,3,8,4,5,7,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,3,6,2,5,7,4] => [6,8,3,5,2,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,6,3,8,4,7,2] => [2,6,3,8,4,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,1,3,7,2,8,4] => [8,4,1,6,3,2,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,6,1,8,2,3,7,4] => [8,5,1,6,2,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,7,8,1,6,4,2,5] => [7,6,8,1,4,2,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,8,6,3,4,2,5] => [5,7,6,2,8,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,3,8,6,4,2,5] => [7,6,8,3,2,5,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,1,5,6,4,2,3] => [7,4,8,6,3,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,1,8,5,6,4,2,3] => [7,4,8,6,5,2,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,1,3,5,6,4,2,7] => [4,7,3,6,2,5,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,8,5,6,4,2,7] => [4,7,6,2,5,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,3,5,8,6,4,2,7] => [7,3,6,2,5,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,7,8,6,4,2,3] => [7,2,3,8,6,5,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,8,2,6,5,3,4,7] => [6,7,5,3,4,8,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,6,1,2,3,8,4,5] => [7,8,3,4,5,2,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,8,4,1,3,5,6] => [5,6,4,7,1,2,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,1,2,3,7,4,5] => [7,8,3,4,1,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,5,6,7,2,4] => [4,7,3,5,8,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,1,2,5,3,4,7,6] => [8,5,2,3,4,6,7,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[3,7,6,2,5,8,4,1] => [5,8,4,1,3,2,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,7,3,4,8,1,6] => [4,5,1,7,2,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,4,7,3,5,2,1] => [3,5,2,8,7,6,4,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,2,1,6,5,7,8,3] => [5,2,1,4,6,8,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,8,7,5,2,1,4,3] => [5,1,8,6,7,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,2,8,6,4,5,3,7] => [5,7,6,4,8,1,2,3] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,8,7,6,3,4,2] => [6,8,2,7,5,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,4,7,8,5,6,3,2] => [5,3,8,2,7,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,4,8,5,7,3,2] => [5,2,8,3,7,6,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,8,5,2,7,3,4] => [7,2,8,5,4,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,8,5,4,2,3,7] => [6,2,7,5,4,8,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,4,8,5,2,7,6] => [5,8,2,3,6,7,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,5,8,7,6,2,4,1] => [6,8,2,7,1,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,3,7,4,1,8,2] => [8,3,2,1,6,5,4,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,8,4,7,2,3,6,5] => [3,8,5,6,7,4,1,2] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,8,2,4,6,1,3] => [1,7,4,5,2,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,1,6,4,2,5,7] => [6,1,5,7,3,4,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,7,2,4,1,3,6,5] => [8,3,5,4,6,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,2,6,3,5,7,1,4] => [7,4,5,2,3,8,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,3,7,4,6,5,2] => [8,5,7,3,6,4,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,7,8,6,2,5,4] => [8,6,1,3,7,5,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,1,2,6,5,7,3] => [1,6,5,8,3,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,6,1,8,3,7,2,4] => [5,1,7,2,8,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,1,6,5,3,7,4] => [8,6,5,1,3,4,7,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,1,5,7,6,3,8,4] => [8,3,6,1,5,2,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,2,5,7,6,8,3] => [6,4,1,5,8,2,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,3,5,1,7,8,6,2] => [2,1,3,5,8,7,4,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,5,8,2,3,4,7,6] => [8,4,2,5,6,7,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,2,7,8,4,5,6,3] => [5,6,3,8,7,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,8,7,6,2,5,1] => [6,8,1,7,2,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,8,2,7,6,3,1] => [1,8,2,7,4,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,3,6,4,1,7,5,8] => [4,7,1,2,5,3,6,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,6,1,7,5,8,4] => [6,5,1,2,3,8,4,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,6,5,1,7,4,8] => [7,5,1,2,4,3,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,6,4,2,1,5,7,8] => [5,1,4,3,6,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,1,7,5,8,3,2] => [5,1,4,2,8,7,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,6,5,1,7,8,3] => [1,6,4,2,3,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,1,5,7,6,8,3,2] => [1,5,3,4,8,7,2,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,5,6,2,1,4,7,8] => [5,1,4,2,6,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,5,7,6,8,3,1] => [1,5,3,4,8,2,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,3,6,5,1,7,8,2] => [1,6,2,4,3,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,6,4,5,2,1,7,8] => [3,6,1,5,4,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,6,4,2,8,1,7] => [2,5,1,4,3,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,5,3,1,7,8,2] => [6,1,4,3,2,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,4,8,1,7,2,6] => [3,1,2,7,8,5,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,6,8,1,4,7,2] => [6,2,1,3,8,5,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,5,1,8,6,4,7,2] => [2,6,1,5,8,7,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,8,1,5,2,6,3] => [2,8,6,4,5,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,8,1,2,4,7,3] => [6,1,8,4,2,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,3,5,1,8,6,7,2] => [2,1,3,6,8,7,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,6,8,2,3,4,7,1] => [4,1,5,2,6,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,1,2,4,8,7,3] => [8,5,7,3,2,1,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,8,7,2,1,3,6,4] => [4,1,8,5,6,7,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,1,7,2,8,6,3,4] => [7,1,8,6,4,2,3,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,1,5,3,4,8,7,2] => [8,4,3,5,1,7,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,8,6,3,2,1,4,7] => [1,6,5,4,7,3,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,1,6,3,5,4,2] => [8,5,7,6,3,4,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,2,1,7,8,6,4,5] => [7,1,4,8,2,6,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,6,4,2,8,7,3] => [2,4,3,8,7,1,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,5,1,4,8,2,3,6] => [6,4,7,2,8,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,2,8,1,7,5,6,4] => [6,8,1,7,2,4,5,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,3,1,7,5,6,2] => [3,2,6,8,7,4,5,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,1,7,8,4,2,3,5] => [6,7,5,3,1,8,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,4,3,1,8,5,2,6] => [3,2,7,6,8,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,1,7,3,4,2,5] => [5,7,6,1,8,3,4,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,7,5,2,4,1,8] => [5,7,2,1,6,4,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,8,1,5,6,4,3,2] => [4,8,7,6,3,1,5,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,3,7,5,1,4,2,8] => [7,2,5,1,6,4,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,8,2,4,6,7,5] => [6,8,2,4,5,7,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,1,7,3,4,2,5,8] => [4,6,5,7,2,1,3,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,1,7,2,5,8,6,4] => [8,1,5,7,4,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,8,7,1,5,6,4,3] => [5,8,7,4,6,1,3,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,1,8,6,2,7,4] => [8,2,1,6,5,7,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,5,7,3,8,2,6] => [3,1,5,7,4,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,5,8,4,7,3,1] => [3,5,1,8,7,2,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,5,4,3,6,1] => [6,5,4,8,2,1,7,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,1,6,8,2,5,3,4] => [7,8,5,3,6,2,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,6,5,7,8,4,1,3] => [3,2,7,4,8,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,5,7,4,1,8,2] => [3,2,8,1,6,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,6,5,7,4,2,3,8] => [6,3,2,7,5,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,4,7,5,2,1,8,6] => [5,1,2,4,8,6,3,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,2,3,8,5,4,7,1] => [6,5,8,2,1,3,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,3,2,4,5,1] => [5,4,1,6,8,7,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[7,5,8,6,4,1,3,2] => [2,8,6,1,7,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,7,6,3,8,5,1,4] => [7,8,4,3,1,2,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,3,1,8,4,6,5,7] => [7,1,2,5,6,8,3,4] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,3,1,7,6,8,4,5] => [7,5,1,2,4,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,3,1,8,4,6,7,5] => [6,8,1,2,5,7,3,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,2,3,5,1,8,6,7] => [2,3,1,4,7,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,8,5,1,7,4,3,2] => [1,8,7,6,4,3,5,2] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,8,5,2,7,4,1,3] => [7,1,8,4,3,6,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,5,8,1,6,4,3,2] => [2,8,7,6,4,1,5,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,8,2,6,4,1,3] => [7,2,8,4,1,6,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,3,2,8,1,7,5,4] => [8,2,7,3,1,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,8,7,1,3,5,4] => [8,5,2,6,7,1,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,8,7,6,2,1,4] => [1,7,6,8,2,5,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,7,6,1,4,5,2,8] => [5,7,1,4,6,3,2,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,1,6,2,7,5,3,8] => [1,7,6,4,2,3,5,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,3,1,2,8,6,7] => [1,7,3,2,8,4,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,4,5,3,1,8,6,7] => [2,4,1,3,7,8,5,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,7,6,2,3,1,4,8] => [4,1,6,5,7,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,3,7,5,2,6,8] => [6,3,1,5,7,2,4,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,6,3,2,7,5,8] => [4,1,7,5,2,3,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,4,8,5,6,3,1,7] => [4,7,2,6,1,5,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,4,1,3,2,6,8] => [6,4,1,5,3,7,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,8,4,5,3,1,7] => [4,2,7,6,1,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,2,3,7,4,1,6,8] => [6,2,3,1,5,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,5,1,6,3,2,7,8] => [1,6,5,3,2,4,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,1,6,3,2,4,7,8] => [5,4,6,2,1,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,2,5,1,6,3,7,8] => [6,2,1,4,3,5,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,6,2,4,3,7,8] => [6,4,5,2,1,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,4,8,7,6,2,1] => [1,8,7,2,3,6,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,4,6,5,7,2,3,1] => [6,2,4,3,8,7,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,8,2,6,7,4,5,3] => [6,4,8,7,3,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,5,7,2,4,3,6,1] => [6,4,2,5,8,7,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,5,3,6,4,7,2,1] => [5,3,2,4,8,7,6,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,2,5,3,6,7,4,1] => [5,3,8,2,4,7,6,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,8,3,4,7,6,5] => [8,7,4,5,6,1,2,3] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,8,5,2,7,1,3,4] => [4,6,1,7,3,8,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,5,1,4,6,3,2] => [5,8,7,4,3,6,2,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,3,8,5,4,2,1,6] => [7,6,2,5,4,1,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,3,4,7,2,8,5,1] => [8,2,3,1,5,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,3,6,4,2,5] => [7,4,6,8,5,2,3,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,1,8,5,3,4,2,6] => [5,7,6,4,8,2,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,4,3,1,5,2,7] => [7,5,4,3,1,6,8,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[1,5,2,4,7,8,6,3] => [5,2,8,4,7,1,3,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,2,7,4,3,8,6,1] => [4,1,8,5,2,3,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,7,3,4,8,5,6,1] => [6,8,3,4,1,2,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,6,8,3,5,4,1] => [8,5,3,2,7,1,6,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,3,7,4,5,8,1] => [5,6,2,3,1,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,3,2,7,5,8,4] => [6,3,5,2,8,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,3,5,2,6,8,1,4] => [7,2,4,3,5,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,5,3,6,4,7,8,1] => [5,3,1,2,4,6,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,2,5,3,6,7,8,1] => [4,2,1,3,5,6,8,7] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[1,6,5,2,4,7,3,8] => [5,7,4,3,1,2,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,8,7,2,5,4,3,6] => [7,6,4,5,8,3,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,5,4,2,7,3,6,8] => [6,3,2,7,1,4,5,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,5,4,2,8,7,3,6] => [3,2,7,8,6,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,8,3,5,2,4,7] => [4,6,2,7,5,8,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,3,6,5,4,7] => [7,6,4,5,8,1,2,3] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,3,8,6,5,2,4,7] => [6,7,5,2,4,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,4,7,3,2,8,6,5] => [8,2,4,7,5,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,6,5,2,4,7,3] => [6,8,5,4,3,7,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,8,4,3,2,5,7] => [6,5,4,2,7,8,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,7,5,3,2,6,4,8] => [4,7,5,3,6,1,2,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,6,5,3,8,4,7] => [7,4,3,8,1,2,5,6] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,7,3,2,8,4,6,5] => [8,3,6,7,4,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,2,8,4,7,3] => [6,3,2,8,7,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,8,3,7,2,4,6,5] => [8,3,5,6,7,4,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,4,2,8,7,6,1,3] => [2,1,7,8,6,3,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,2,1,6,5,8,4] => [2,6,3,5,8,4,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,8,5,2,7,1,4,3] => [8,4,1,6,3,7,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,2,5,1,7,4,3] => [8,7,3,1,5,4,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,5,7,2,1,4,3] => [5,1,8,6,3,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,2,7,4,1,3] => [7,2,1,8,4,6,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,2,1,7,5,8,4,3] => [5,4,8,2,1,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,6,4,8,5,3,7,2] => [6,3,2,5,8,7,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,6,2,8,7,1,4] => [2,7,1,3,8,4,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,6,5,3,4,7,8,2] => [4,5,3,2,6,8,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,6,7,8,1,3,5] => [1,6,3,7,2,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,7,2,6,4,8,3] => [6,5,1,8,4,2,3,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,7,6,5,8,2,3] => [7,1,5,4,3,8,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,1,7,6,4,8,3] => [6,5,2,1,4,8,3,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,2,3,6,7,8,1,5] => [4,1,7,2,3,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,7,2,1,6,5,8,3] => [1,6,3,5,8,4,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,7,6,4,1,5,8,3] => [6,4,8,5,1,3,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,5,2,7,3,1,4] => [7,4,1,6,3,8,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,5,2,4,1,8,3,6] => [7,3,4,2,8,5,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,1,3,7,8,2,4] => [7,4,5,2,1,8,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,1,5,4,2,3,6,7] => [5,6,4,2,3,7,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,1,2,4,6,3,8,5] => [8,4,6,2,3,5,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,2,6,5,3,8,4] => [8,6,5,2,3,4,1,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[7,1,4,5,2,3,6,8] => [5,3,6,2,4,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,1,8,5,7,2,3,4] => [6,7,4,1,8,5,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,6,7,5,8,3,4,2] => [2,6,4,3,8,7,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,7,5,8,2,3,4] => [6,7,4,3,1,8,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,1,2,3,7,5,4,6] => [7,6,8,2,3,4,5,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,8,6,1,2,4,7,3] => [6,1,8,4,5,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,8,7,5,2,3,4] => [6,7,1,8,5,4,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,3,1,2,4,6,5,7] => [7,3,2,4,5,6,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,3,1,2,4,5,7,6] => [8,3,2,4,5,6,7,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[6,7,1,4,2,3,5,8] => [5,6,3,4,1,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,7,4,8,2,3,5] => [6,4,7,3,1,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,7,8,5,1,2,4,3] => [8,5,1,6,2,7,4,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,3,8,6,7,2,5,1] => [6,1,4,8,2,7,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,8,1,5,3,4,2] => [6,8,7,4,2,1,5,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,3,8,1,7,2,5,4] => [8,2,6,1,7,4,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,5,4,7,1,8,3] => [4,3,8,2,1,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,3,4,8,7,5,1] => [8,7,3,1,2,4,6,5] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,7,4,5,1,8,3,6] => [3,7,4,8,1,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,5,7,6,1,2,3] => [2,6,3,7,8,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,4,5,7,1,3,6,2] => [2,6,3,8,5,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,6,2,3,5,4,1] => [8,4,5,7,6,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,3,6,7,5,1,2,4] => [6,7,2,3,8,5,4,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,2,1,6,5,7,4,3] => [5,4,8,2,7,3,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,1,8,5,6,4,3] => [5,8,7,6,1,3,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,7,8,6,1,5,3,4] => [7,8,5,2,6,1,4,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,2,1,3,5,4,7] => [3,7,4,5,1,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,1,6,4,8,2,7] => [5,1,4,2,7,8,3,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,8,6,2,1,4,7] => [2,6,1,5,7,4,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,8,5,6,1,3,7] => [6,2,4,7,1,5,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,5,3,1,4,7,6] => [4,8,5,1,3,6,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,7,8,4,6,3,2,5] => [4,7,6,2,8,5,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,3,2,1,6,4,5] => [4,3,7,8,5,6,2,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,8,3,4,6,5,2,1] => [8,3,4,1,7,6,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,1,2,8,6,5,7,4] => [6,1,5,8,7,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,8,7,4,6,3,1,5] => [4,7,6,8,5,1,3,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,4,1,2,5,7,6] => [2,8,4,3,5,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,4,1,3,2,5,7,6] => [4,8,3,2,5,6,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,3,8,6,2,1,4,5] => [6,2,5,7,1,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,8,6,4,7,2,3,1] => [6,1,4,3,8,7,5,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,7,2,6,5,8,3,1] => [5,1,4,8,3,2,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,5,2,4,8,3,1] => [5,1,8,4,3,2,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,2,7,5,6,3,4] => [7,5,8,6,2,3,4,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,7,5,4,8,1,3,2] => [1,8,6,4,3,2,7,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,3,5,6,4,7,2,1] => [3,5,2,4,8,7,6,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,5,6,2,4,3,7,1] => [6,4,2,5,3,8,7,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,4,5,1,3,2,7] => [7,5,3,1,6,4,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,8,7,5,3,2,1] => [1,8,7,2,6,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,2,5,1,4,8,3,6] => [5,7,2,3,8,4,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,8,1,3,4,2,7,6] => [4,5,1,8,3,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,6,3,2,8,7,4] => [2,8,4,3,7,1,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,3,7,6,8,4,2,5] => [7,6,4,2,3,8,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,6,7,3,2,8,5,4] => [8,4,2,7,5,1,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,3,8,5,2,7,6,4] => [4,8,7,2,5,6,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,4,1,5,2,8,7,3] => [4,2,8,7,3,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,6,5,3,1,8,2,4] => [7,4,8,5,3,2,1,6] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,5,1,4,7,3,6,8] => [4,6,1,2,7,3,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,1,5,7,4,3,8] => [4,7,6,1,3,2,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,6,5,1,4,2,7,8] => [6,1,4,5,3,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,6,5,1,7,2,4,8] => [6,7,1,4,3,2,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,4,3,6,1,7,2,8] => [3,2,1,7,5,4,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,5,2,7,6,1,3,8] => [1,6,2,7,3,5,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,1,6,3,7,2,8] => [5,4,2,1,7,3,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,4,2,6,3,7,8,1] => [5,3,2,1,4,6,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[3,6,5,7,1,4,2,8] => [7,5,1,3,2,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,6,5,1,4,7,2,8] => [5,7,1,4,3,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,6,5,7,1,2,8] => [1,6,2,4,3,7,5,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,5,1,3,7,8] => [5,1,6,2,4,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,1,6,5,3,7,8,2] => [1,5,4,3,6,8,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,2,5,7,6,1,3,8] => [3,1,6,7,2,5,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,5,7,6,3,8,1] => [1,6,3,5,2,4,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,5,7,2,1,4,8] => [6,5,1,3,2,7,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,4,2,6,3,7,1,8] => [5,3,2,1,4,7,6,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[3,5,8,2,1,4,6,7] => [5,1,4,2,6,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,5,8,2,4,6,7,1] => [4,1,2,5,6,8,7,3] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,3,8,2,1,4,6,7] => [2,5,4,1,6,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,2,1,4,3,6,7] => [3,6,4,1,5,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,2,4,1,6,7,3] => [6,3,1,4,8,5,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,2,4,6,3,1,7] => [4,1,7,3,6,5,8,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,8,2,4,3,6,1,7] => [5,3,1,4,7,6,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,1,4,6,2,3,7] => [6,4,1,7,3,5,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,8,4,6,7,2,3] => [4,1,7,5,8,6,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,2,4,6,3,7,1] => [4,1,6,3,5,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,6,7,2,1,5] => [7,3,6,1,4,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,6,7,2,5,1] => [6,3,4,8,1,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,3,6,7,2,5,1] => [2,6,3,4,8,7,5,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,4,3,6,7,2,1,5] => [2,7,3,6,4,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,2,4,5,3,7,1] => [4,6,3,5,2,8,7,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,6,4,5,7,2,3] => [4,7,5,3,8,6,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,2,4,5,3,1,7] => [4,7,3,6,5,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,6,4,2,3,5,7] => [5,6,4,7,3,8,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,6,2,1,4,5,7] => [5,1,4,6,7,3,8,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,3,6,7,2,1,4,5] => [6,2,5,7,3,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,8,6,7,2,1,4,5] => [6,5,7,1,3,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,4,6,7,5,2,3] => [7,3,4,8,6,5,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,4,7,2,1,3,6,5] => [4,2,8,5,6,7,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,7,1,6,3,5,8,4] => [6,8,5,1,3,4,2,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,2,1,5,3,7,6] => [3,5,2,8,4,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,2,5,8,4,7,3] => [4,6,2,8,7,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,1,7,4,5,8,6] => [1,8,2,5,6,3,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,6,8,5,1,7,4,3] => [2,8,7,5,1,4,6,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,1,5,8,7,3,6,4] => [8,3,6,7,1,5,2,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,2,7,8,6,4,1] => [4,1,8,2,7,3,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,7,1,5,3,6,4] => [8,6,4,5,7,1,3,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,3,5,6,4,2,8,1] => [3,6,2,5,4,1,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,4,2,7,6,5,1] => [8,3,7,1,4,6,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,8,1,5,3,4,7] => [6,7,4,1,2,5,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,8,1,6,4,5,2,7] => [5,7,1,6,3,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,3,6,5,4,2,7] => [7,6,3,5,2,4,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,2,4,8,6,3,7,5] => [8,6,3,5,7,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,2,1,5,3,4,8,6] => [8,2,5,3,4,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,5,2,4,6,8,3] => [5,6,3,8,2,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,2,7,3,5,6,1] => [5,2,6,8,3,7,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,8,6,4,7,5,3,2] => [8,4,3,7,6,5,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,4,1,5,8,6,3,2] => [2,8,4,7,6,3,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,3,8,7,6,4,2,5] => [7,6,8,5,2,4,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,5,1,7,4,6,3] => [6,3,8,7,1,4,5,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,6,4,7,5,2,3] => [4,7,3,8,6,5,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,4,6,3,8,5,1] => [8,3,5,4,1,2,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,3,1,6,2,5,7] => [6,3,2,7,4,5,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,4,3,8,1,6,2] => [4,3,2,8,6,1,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,3,1,6,2,8,7,4] => [2,4,1,8,7,3,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,4,1,7,8,2,6] => [3,1,2,7,5,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,2,1,5,7,3,8] => [3,5,2,7,4,1,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,2,5,7,8,4,6,1] => [6,1,3,4,8,2,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,7,4,2,6,8,1] => [5,2,1,4,6,3,8,7] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,3,7,4,2,6,1,8] => [5,2,1,4,7,6,3,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,2,8,4,3,1,6,7] => [6,5,2,1,4,7,8,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,1,8,4,3,2,6,7] => [6,5,4,1,7,8,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,2,7,4,3,6,1,8] => [5,4,1,7,2,6,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,7,4,3,6,8,1] => [5,4,1,6,2,3,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,7,4,1,6,8,2] => [6,2,1,4,8,5,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,1,5,7,8,4,6,2] => [6,1,3,4,8,7,2,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,1,5,7,8,4,2,6] => [7,1,3,6,4,8,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,3,7,4,8,5,1] => [8,5,2,3,1,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,2,3,7,4,8,1,5] => [5,7,2,3,1,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,3,7,4,5,1,8] => [5,7,2,3,1,6,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,3,7,4,5,8,2] => [5,6,3,4,1,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,2,8,6,4,3,5,7] => [6,5,7,4,8,1,2,3] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,1,3,7,4,5,2,8] => [5,7,3,6,2,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,6,1,8,5,3,4,7] => [6,7,5,1,2,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,7,8,4,6,3,1] => [5,2,3,8,7,1,6,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,2,7,5,3,4,6] => [6,7,5,8,3,4,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,1,8,6,7,3] => [3,2,6,8,1,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,6,8,3,4,2,7,1] => [1,4,2,6,5,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,5,3,8,6,7,2] => [3,1,6,8,4,7,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,5,1,4,8,6,2] => [8,2,5,3,7,4,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,3,2,4,5,6,8] => [4,2,3,5,6,7,1,8] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[5,1,7,8,2,4,3,6] => [7,5,1,6,3,8,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,4,6,1,7,3,2] => [3,2,8,7,5,4,6,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,3,2,1,4,6,8,7] => [3,2,8,4,1,5,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,2,4,8,1,6,7] => [3,2,4,1,6,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,3,2,4,7,1,8,6] => [2,8,3,1,4,6,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,5,3,7,1,2,6] => [2,6,4,3,7,8,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,3,2,4,6,8,1,7] => [3,2,4,1,5,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,7,1,4,2,5,3,6] => [7,5,3,4,6,8,2,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,4,3,5,7,1,6,2] => [3,2,4,8,6,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,7,6,4,2,5,3,8] => [7,5,4,6,3,1,2,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,6,4,2,8,3,1,5] => [7,4,3,6,2,1,8,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,1,4,3,7,6,2] => [4,8,5,2,7,3,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,4,1,3,6,8,2] => [5,6,3,2,8,4,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,7,2,5,1,8,4] => [8,4,1,2,6,5,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,5,1,7,8,4,6,2] => [2,6,1,4,8,7,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,2,4,6,8,7,3] => [8,4,2,5,7,1,3,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,1,2,4,7,6,5,3] => [8,7,4,6,2,3,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,4,1,8,6,7,5,2] => [5,8,1,2,7,6,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,1,3,2,8,5,7,4] => [6,8,3,7,2,1,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,4,2,6,3,1,7] => [7,4,3,2,6,5,8,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,2,1,6,4,3,7] => [7,3,6,4,2,5,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,6,5,1,3,2,7] => [2,7,5,6,4,3,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,3,8,4,7,5,2,6] => [7,4,6,8,2,5,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,2,6,1,4,8,3] => [6,1,8,3,5,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,5,7,6,1,2,4] => [6,3,7,8,1,5,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,7,5,2,1,3,6] => [2,6,5,7,4,8,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,6,4,7,2,1,5] => [4,7,6,1,3,8,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,2,7,4,6,8,3,1] => [4,1,5,3,8,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,3,1,7,6,4,5] => [7,8,3,6,1,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,6,4,8,1,7,3] => [2,4,3,8,1,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,2,1,6,8,3,4] => [7,3,1,5,8,4,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,7,8,5,1,6,2,3] => [7,8,1,5,4,2,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,5,2,1,6,7,8,3] => [3,1,5,2,6,8,4,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,5,1,4,2,8,7,6] => [8,1,4,2,7,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,4,2,6,7,8] => [1,5,3,4,2,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[1,8,4,2,3,7,5,6] => [7,3,8,4,5,6,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,8,3,2,7,6,5] => [8,2,4,7,5,6,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,7,6,5,2,4,8] => [6,7,5,2,4,1,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,8,6,7,5,4,3] => [4,8,7,6,5,1,2,3] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,7,5,4,3,2,6,8] => [6,5,4,3,7,1,2,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[8,6,2,4,5,7,1,3] => [4,7,3,5,2,8,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,8,7,4,5,2,6,1] => [4,6,5,8,1,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,5,2,4,1,3,8,7] => [8,3,5,4,2,1,6,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,6,3,2,5,1,8,4] => [3,8,4,6,5,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,6,3,7,5,8,2,1] => [5,1,3,2,4,8,7,6] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,6,8,4,5,2,1,7] => [4,2,7,1,6,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,5,7,3,6,1,4] => [5,3,7,8,2,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,2,5,8,7,6,3,1] => [8,1,7,3,6,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,7,8,3,6,1,4] => [5,1,7,3,8,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,7,8,1,3,6,5] => [8,2,5,6,1,3,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,5,1,2,3,7,4,6] => [7,8,3,4,2,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,8,3,1,4,7,6] => [4,8,2,1,5,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,4,1,3,2,7,6,5] => [8,4,2,7,3,5,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,3,5,1,2,4,7,6] => [2,8,4,5,3,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,5,1,7,4,2,3] => [7,8,6,4,3,2,5,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,7,4,5,1,2,6,3] => [8,5,3,6,4,7,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,8,6,2,7,1,5,4] => [8,4,6,1,3,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,4,8,2,1,7,6,5] => [8,1,2,4,7,5,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,8,4,2,1,7,6,5] => [3,8,1,4,7,5,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,1,7,5,6,2,4] => [7,2,5,8,6,3,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,1,7,5,2,6,3] => [2,8,6,5,7,3,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,3,7,5,1,2,6] => [3,2,6,7,5,8,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,4,7,6,5,2,1,3] => [7,2,6,8,5,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[3,6,2,4,8,1,7,5] => [8,1,3,4,2,6,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,5,2,6,8,3,7,4] => [4,2,8,6,7,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,3,1,8,2,6,7] => [1,6,3,2,7,8,4,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,7,8,3,6,2,4] => [5,1,7,3,8,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,8,4,1,3,5,6] => [5,6,2,4,7,1,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,2,1,3,4,6,7] => [4,3,5,1,6,7,8,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,2,5,1,8,3,6,7] => [6,2,1,3,7,8,4,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,4,2,8,3,1,5,6] => [6,3,2,5,7,1,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,2,8,3,5,1,6] => [5,2,7,3,6,1,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,7,8,5,2,1,4,3] => [5,1,8,6,2,7,4,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,4,7,8,6,2,5,3] => [8,6,2,3,7,5,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,7,8,3,2,5,4] => [5,2,8,6,3,7,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,3,2,7,8,4,6,5] => [8,6,2,4,7,1,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,8,2,3,5,7,4,1] => [5,8,3,1,4,7,6,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,1,4,7,8,2,5] => [2,7,4,5,1,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,1,5,4,6,3,2] => [5,4,8,7,3,6,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,8,6,5,2,7,1] => [6,1,5,2,4,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,3,8,6,5,1,7,4] => [8,6,5,1,2,4,7,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,4,7,3,1,2,6,8] => [5,2,1,6,4,7,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,2,1,5,4,3,8] => [7,3,6,4,5,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,2,6,5,7,8,4] => [1,5,4,6,8,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[7,3,2,6,1,4,8,5] => [2,8,3,5,6,4,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,2,6,8,5,4,3,1] => [3,8,7,6,2,1,5,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[3,7,5,6,2,4,1,8] => [5,3,7,1,6,4,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,2,5,1,3,6,8,7] => [8,2,1,4,3,5,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,3,4,2,7,1,8,6] => [2,3,1,8,4,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,8,2,1,3,4,7] => [5,4,1,6,2,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,3,5,6,8,1,7] => [3,1,2,4,5,7,8,6] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[6,3,2,4,8,5,1,7] => [2,7,3,4,1,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,3,1,2,7,8,4,5] => [2,7,5,8,3,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,6,7,2,1,4,3] => [5,2,8,6,3,7,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,5,6,3,8,4,7,1] => [2,6,3,8,1,4,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,4,2,3,1,7,5] => [4,5,3,1,8,6,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,6,2,8,3,5,4] => [8,6,7,4,3,1,2,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[7,1,5,6,3,2,8,4] => [5,3,8,6,2,4,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,3,8,5,2,7,6] => [5,1,8,3,6,7,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,5,4,7,2,3,6] => [6,4,3,7,8,5,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,5,6,4,3,1,7] => [3,7,6,2,5,4,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,4,5,8,6,2,7] => [1,7,3,4,6,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,7,3,2,8,4,6] => [4,7,1,8,5,2,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,7,8,1,3,2,4,6] => [6,4,1,5,7,2,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,4,1,6,7,3,5] => [3,7,2,5,8,4,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,7,5,8,4,3,2,6] => [3,7,6,5,2,8,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,2,7,5,3,4,1,6] => [5,7,6,2,4,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,1,2,8,7,5,4] => [8,2,7,6,3,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,4,7,2,6,3,1,5] => [2,7,4,6,8,5,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,2,5,7,8,3,6,4] => [8,3,6,4,7,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,6,3,4,2,1,8,5] => [3,5,4,8,6,2,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,4,6,2,3,7,1,5] => [4,2,5,7,3,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,3,7,8,2,1,4] => [1,7,3,2,6,4,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,8,6,7,5,1,2] => [7,1,4,8,2,6,5,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,6,2,1,7,8,3] => [1,4,2,6,3,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,6,2,1,7,3,8] => [1,4,2,7,5,3,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,8,7,2,3,1,4,5] => [4,6,5,1,7,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,5,1,6,7,3,2,8] => [1,4,2,7,6,3,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,7,2,1,3,8,4,6] => [3,7,1,8,4,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,7,5,4,1,6,8,2] => [6,4,1,3,8,5,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,5,4,2,6,3,8] => [7,5,4,2,3,6,1,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,5,6,3,7,2,1,4] => [4,2,7,6,3,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,3,4,6,8,1,7,5] => [4,8,1,2,3,6,7,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,4,7,5,6,8,1,3] => [4,7,2,5,1,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,6,5,2,8,3,1] => [8,5,1,4,3,2,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,4,1,6,8,2,3] => [7,5,3,2,8,4,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[2,7,3,6,4,1,8,5] => [5,8,3,6,1,4,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,1,8,5,6,4,3] => [5,8,7,2,6,3,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,6,5,1,4,8,2,7] => [5,7,1,3,2,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,5,4,8,1,2,7] => [6,2,4,3,1,7,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,5,1,4,6,3,8,7] => [4,5,1,2,8,3,6,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[8,5,6,4,3,1,7,2] => [2,8,6,5,4,3,7,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,3,5,6,7,1,2,4] => [6,2,3,7,4,8,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,1,4,7,3,6,8,5] => [6,8,1,3,5,2,4,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,3,7,6,4,8,2,1] => [1,5,4,2,3,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,6,4,2,8,1,5] => [5,4,7,1,3,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,6,1,4,3,7,2,5] => [5,4,7,8,3,2,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,7,5,1,6,3,2] => [8,2,7,5,4,6,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,1,4,7,6,8,2,3] => [7,3,1,5,4,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,4,1,3,7,6,5,2] => [2,8,7,4,6,3,5,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,4,2,6,5,7,3] => [3,6,5,8,2,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,4,3,7,2,1,5] => [4,3,7,6,2,8,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,8,1,4,3,2,6,7] => [6,5,3,1,4,7,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[5,6,4,3,8,2,7,1] => [1,4,3,2,6,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,6,4,3,8,2,7,5] => [3,8,4,2,6,7,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[6,7,4,1,3,2,5,8] => [6,4,5,3,1,7,2,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,8,1,4,3,2,5,6] => [6,5,3,4,7,1,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,8,4,5,3,6,2] => [4,6,5,8,7,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,3,1,8,6,5,7,2] => [1,6,2,5,8,7,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,2,7,5,1,8,6] => [2,1,5,8,3,6,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,3,7,4,1,8,6] => [5,8,2,1,3,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,3,1,4,6,7,2] => [5,3,1,6,8,4,7,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,2,5,4,6,8,3] => [5,4,6,8,3,1,2,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,3,8,1,6,7,4] => [6,2,8,1,3,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,6,4,2,5,7,8,3] => [5,3,6,2,8,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,3,4,1,7,8,2] => [3,6,4,2,1,8,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,6,3,4,1,7,8,2] => [3,1,6,4,2,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,3,1,4,7,8,6] => [3,6,1,2,8,4,5,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,3,1,5,2,7,8,6] => [4,2,1,6,8,3,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,3,6,4,5,8,1,2] => [4,7,2,5,3,1,8,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,3,7,5,8,2,1] => [2,5,3,1,4,8,7,6] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,2,4,7,8,6,3,1] => [4,1,8,3,7,2,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,7,2,3,1,6] => [2,1,5,7,6,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,4,5,3,6,2,7] => [3,5,4,7,2,6,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,2,1,7,4,3,6] => [7,3,1,6,8,4,5,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[6,5,7,2,1,8,4,3] => [8,4,2,1,7,5,3,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,5,4,7,3,8,6,2] => [2,8,3,5,4,7,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,1,3,8,5,6,2] => [6,2,8,4,7,3,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,8,4,1,7,2,5] => [7,4,1,2,8,5,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,8,4,7,6,3,5] => [7,8,4,6,1,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,7,5,6,8,4,3,1] => [3,4,2,8,7,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,5,6,3,8,2,1,4] => [4,2,7,6,3,1,8,5] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,4,2,6,1,5,8,3] => [6,2,8,3,5,4,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,7,1,2,6,5,3] => [2,8,7,4,5,6,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,4,7,6,1,2,5,3] => [2,8,5,6,7,4,3,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,7,8,1,6,2,4,3] => [1,8,6,7,4,2,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,8,4,7,5,2,1,3] => [3,1,7,6,8,5,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,7,4,2,5,1,3] => [5,1,7,4,8,6,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,4,5,7,2,1,3] => [3,1,7,6,4,8,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,2,5,1,3,7] => [4,6,3,1,7,5,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,3,7,6,4,8,1] => [2,6,5,1,3,4,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,1,6,5,4,7,2,8] => [5,1,4,3,7,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,6,8,3,4,7,1] => [2,5,3,6,8,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,2,5,4,7,1,8] => [5,1,3,4,2,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,1,6,5,2,7,8] => [2,1,6,5,3,4,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,6,5,3,7,8] => [6,5,2,1,3,4,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[4,6,1,3,5,2,7,8] => [4,1,6,3,5,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,6,4,2,5,7,1,8] => [4,1,3,5,2,7,6,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,6,3,5,1,7,8] => [4,1,6,2,5,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,4,7,6,5,1,2,8] => [6,7,1,2,5,4,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,2,7,1,3,6,8] => [3,1,5,2,6,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,1,2,5,3,7,8] => [6,3,1,4,5,2,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,4,7,1,3,5,2,8] => [5,2,7,4,1,6,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,1,3,5,7,4,2] => [5,8,4,1,7,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,8,3,2,7,4,6,1] => [3,1,6,8,4,7,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,3,1,5,4,7,2] => [3,6,5,1,8,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,8,1,2,5,3,7,4] => [8,6,3,4,1,5,7,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,2,8,3,4,6,7,1] => [4,5,1,6,8,2,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,2,6,1,3,7,8] => [3,1,5,2,6,4,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,5,8,6,1,7,2] => [1,8,2,3,6,5,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,1,7,8,5,6,2,4] => [7,5,1,3,8,6,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,2,1,7,5,3,4,8] => [6,7,2,5,3,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,7,1,8,5,2,4,6] => [6,7,1,5,8,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,3,1,6,4,7,2,8] => [2,5,4,1,7,3,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,4,5,8,7,3,6] => [7,8,3,4,6,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,4,7,5,8,6,2] => [8,5,2,3,4,7,1,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,5,2,3,7,8,6,4] => [5,2,8,7,1,3,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,2,8,1,6,5,7,3] => [1,6,5,8,2,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,6,1,4,8,3,2,7] => [4,1,7,6,2,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,6,4,1,7,2,8,5] => [3,8,1,6,4,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,2,6,3,7,8,4,1] => [5,3,1,8,2,4,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,1,5,7,8,4,3] => [4,5,2,8,1,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,1,6,4,7,8,2,3] => [4,3,1,7,5,8,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,7,6,8,2,3,5,1] => [5,6,1,3,2,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,4,8,1,2,6,3] => [1,8,5,3,6,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,6,7,5,8,1,4,2] => [2,8,6,1,4,3,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,5,6,8,2,4,1] => [3,6,4,1,2,8,7,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,7,1,6,8,4,5,3] => [6,4,8,7,1,3,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,5,4,7,2,6,3,8] => [3,2,7,5,6,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,7,5,8,3,6,2] => [4,6,2,3,8,7,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,8,7,3,5,1,4] => [5,2,7,8,6,1,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,6,2,5,1,3] => [5,7,1,2,8,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,3,8,1,6,5,7,2] => [1,6,2,5,8,4,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,6,2,5,8,7,4] => [8,5,2,3,7,1,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,2,5,1,3,4,8,7] => [8,2,4,5,3,1,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,5,1,3,4,8,7] => [8,4,5,1,3,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,5,1,2,7,3,8] => [1,7,4,5,3,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,6,4,1,2,7,3,8] => [7,4,1,5,3,2,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,1,5,6,2,4,3,7] => [7,5,3,6,2,4,8,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,5,1,2,7,3,8] => [7,4,2,5,3,1,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,4,6,1,3,2,7,8] => [6,4,2,1,5,3,7,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,7,1,4,3,2,6,8] => [6,5,3,1,4,7,2,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,6,4,1,3,7,5,8] => [7,4,1,3,5,2,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[7,8,5,3,2,1,6,4] => [5,4,8,6,3,1,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,2,6,7,8,4,5,3] => [3,6,4,8,7,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,4,8,2,7,5,3] => [8,3,7,5,1,6,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,2,3,7,1,8,4,6] => [7,8,2,1,3,5,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,2,3,1,8,4,6,5] => [8,2,3,6,7,4,1,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[5,4,1,7,3,2,8,6] => [5,2,1,8,6,3,4,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,7,3,8,1,2,4,6] => [5,3,1,6,7,2,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,5,2,1,7,6,3,8] => [1,7,3,2,6,4,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,7,8,3,1,4,5] => [6,5,2,7,1,3,8,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,2,5,1,7,8,4] => [2,6,3,4,1,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,6,7,1,8,4,2,3] => [1,7,2,8,6,4,3,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,8,4,6,5,2,3] => [4,7,2,8,6,5,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,3,2,8,6,5,4] => [8,7,3,6,4,1,2,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[8,1,5,7,3,4,6,2] => [5,3,6,8,7,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,2,7,6,3,1,4] => [1,7,6,8,3,5,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,4,7,6,3,1,5] => [7,3,6,8,5,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,2,4,7,6,3,5] => [7,8,4,6,3,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,2,4,6,7,5,3] => [5,8,4,7,3,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,1,8,4,7,6,3] => [2,8,5,7,1,6,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,2,8,1,7,6,5] => [8,1,2,7,3,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,5,8,1,7,6,3] => [8,2,3,7,1,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,1,8,2,6,7,5,4] => [5,8,1,7,4,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,8,1,4,3,7,5] => [5,8,4,1,2,6,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[4,1,8,2,6,7,3,5] => [1,7,5,8,4,6,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,5,2,8,7,3,4] => [7,3,2,8,6,1,4,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[2,6,1,5,8,7,3,4] => [4,7,2,8,1,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,3,2,7,6,4,5] => [7,8,3,6,2,4,5,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,4,8,6,2,5,1] => [6,8,2,3,1,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,5,8,1,6,2,3,4] => [6,7,2,8,4,1,5,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,5,3,2,8,4,1] => [4,1,8,5,3,2,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,2,5,3,8,1,4,7] => [4,6,2,3,1,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,4,5,3,8,1,7] => [3,5,2,4,1,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,1,5,4,7,2,3,8] => [6,4,3,7,2,1,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,6,8,4,2,5,7,3] => [6,4,2,8,5,7,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,8,1,3,4,2,6] => [5,7,4,2,6,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,4,2,8,3,5,7,6] => [2,8,5,6,7,1,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,6,2,4,8,3,7,5] => [8,4,6,2,7,1,3,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,8,5,4,2,6,3] => [8,6,5,4,2,7,1,3] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,6,5,2,7,4,8,3] => [6,5,3,2,8,1,4,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,1,6,7,4,2,8,3] => [3,1,8,6,5,2,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,8,1,5,2,3,7,4] => [8,5,6,3,1,4,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,5,4,2,8,6,7,3] => [3,2,6,8,7,1,4,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,5,4,6,2,7,3] => [4,3,8,6,5,7,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,4,1,6,2,7,3] => [1,8,6,4,3,5,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,5,1,7,2,8,3] => [2,8,6,4,3,1,5,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[4,5,3,1,2,8,7,6] => [1,3,2,8,7,4,5,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,4,2,3,1,8,7,5] => [8,3,2,4,1,7,5,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,1,8,2,5,3,4] => [7,8,5,6,3,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,8,1,2,4,3,6] => [7,4,1,5,6,2,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,6,8,3,5,4,2] => [8,5,3,2,7,6,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,7,6,4,2,1,3,8] => [1,6,5,7,4,3,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,5,7,4,1,3,2,8] => [7,5,2,1,6,4,3,8] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,6,8,2,5,4,3] => [8,7,5,3,6,2,1,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,7,1,8,3,2,5,6] => [1,6,5,7,8,3,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,7,8,6,4,5,3,2] => [5,2,8,7,6,4,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[3,2,8,6,4,5,1,7] => [5,7,1,6,2,4,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,3,6,2,5,1,7] => [3,2,5,7,6,4,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,6,8,7,4,3,5,2] => [2,6,5,8,7,4,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,1,2,6,8,7,5,4] => [8,1,4,7,6,2,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,7,4,2,1,8,6,3] => [1,8,4,3,7,5,2,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,5,7,2,4,3,1] => [8,5,3,2,7,6,4,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,4,6,1,8,5,3,2] => [8,2,7,6,4,3,1,5] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,4,8,2,3,5,7,1] => [4,2,5,1,6,8,7,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,6,8,2,5,7,1,3] => [7,1,4,2,5,8,6,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,4,8,2,5,7,1,3] => [2,7,4,1,5,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,2,4,7,3,5,1] => [4,6,1,8,3,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,4,6,2,7,1,3,5] => [4,2,6,7,3,8,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,4,2,7,1,3,5] => [4,6,3,1,7,8,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,8,2,4,1,7,3,5] => [7,3,4,1,8,5,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,5,1,6,2,4,8,3] => [6,8,5,3,2,4,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,5,2,3,8,7,1,6] => [1,7,2,8,3,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,7,6,1,3,8] => [3,2,6,7,1,5,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,3,7,6,1,5,8] => [6,1,7,2,3,5,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,7,3,5,1,6,8] => [4,1,6,2,5,7,3,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,6,2,3,8,4,7,1] => [6,1,8,3,2,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,3,1,7,8,4] => [3,4,1,6,2,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,2,3,4,1,6,8] => [3,4,1,6,5,7,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,5,2,3,8,4,7,1] => [6,8,3,2,1,4,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,5,2,7,3,4,6,1] => [5,6,2,8,3,7,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,7,8,1,5,6,3,4] => [7,5,8,4,1,2,6,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,8,2,3,1,6,4,7] => [3,4,1,7,5,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,2,1,4,6,8,3] => [3,5,1,6,8,4,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,2,7,1,5,6,8,3] => [5,1,6,8,2,4,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,3,8,1,7,5,6] => [7,1,8,2,3,5,6,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,1,3,8,4,6,7,2] => [5,6,1,8,3,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,7,2,3,4,5,1] => [4,5,1,6,8,7,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[5,2,3,7,4,6,1,8] => [5,7,2,1,3,6,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,3,7,4,6,1,8] => [5,2,7,1,3,6,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,7,3,4,5,1,8] => [4,5,2,7,1,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,4,5,2,1,6,7] => [3,6,1,5,4,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,6,5,7,2,8,3,4] => [7,3,2,8,5,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,5,2,6,1,8,4,3] => [8,7,3,2,5,4,1,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,1,5,2,7,8,4,3] => [5,3,8,7,2,1,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,6,5,7,2,8,4,3] => [3,2,8,7,5,1,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,5,4,6,2,8,7,3] => [3,2,4,8,7,1,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,4,6,2,8,3,7] => [3,2,7,4,8,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,5,6,8,4,1,3,2] => [2,8,6,3,1,7,5,4] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[8,3,7,5,1,4,2,6] => [7,2,5,6,4,8,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,5,7,3,6,2,4] => [5,3,7,8,6,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,6,2,7,1,3,4] => [4,6,2,7,3,8,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,2,3,6,4,7,5] => [8,6,2,3,4,5,7,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[7,6,2,3,5,8,1,4] => [7,3,4,5,2,1,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,3,7,5,1,6,2,8] => [1,7,2,5,4,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,2,6,1,4,3,7,8] => [6,2,4,1,5,3,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,7,4,2,8,6,1] => [4,1,8,2,5,3,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,8,2,3,5,6,1] => [4,2,5,6,1,8,7,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,6,2,8,7,1,4,3] => [1,8,6,2,7,3,5,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,5,8,6,1,4,3] => [3,8,6,7,2,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,3,1,4,6,7,8,2] => [4,2,5,1,6,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,6,1,3,4,7,2,8] => [4,5,1,7,3,2,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,3,7,8,4,6,1] => [2,6,4,8,1,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,2,1,3,7,8,5] => [3,1,6,8,4,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,6,7,4,8,5,1] => [3,8,1,5,2,4,7,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,3,8,4,5,2,6] => [5,7,3,6,8,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,7,1,4,5,3,8] => [5,7,2,4,1,6,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,6,1,5,7,3,8] => [5,1,7,2,4,3,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,5,4,1,3,6,7,8] => [4,5,1,3,2,6,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,4,1,2,6,7,3,8] => [5,7,3,2,1,4,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,5,7,3,1,4,2,8] => [7,5,4,2,1,6,3,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,7,4,3,1,5,8,2] => [6,4,3,1,8,5,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[3,1,6,7,8,4,5,2] => [3,6,1,4,8,7,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,5,6,2,1,8,3] => [2,5,3,8,6,4,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,5,2,7,1,8,3] => [2,8,4,3,1,6,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,5,6,2,1,8,4] => [5,3,8,1,6,4,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,6,3,8,4,5,2] => [6,8,4,3,2,7,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,1,2,7,8,3,5] => [7,5,2,8,3,1,4,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,1,3,5,2,7,8] => [4,6,3,2,5,1,7,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,8,3,4,6,2,7] => [4,5,1,7,6,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,5,8,2,3,7,1,6] => [1,4,2,5,7,8,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,8,1,5,4,2,3,7] => [6,7,5,3,1,4,8,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,7,2,5,1,6,8,3] => [1,6,3,4,8,5,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,5,4,7,2,8,3,1] => [3,2,1,8,5,4,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,2,4,6,5,8,1,7] => [1,5,2,3,4,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,5,4,8,7,1,6,2] => [2,8,1,3,6,7,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,3,1,7,4,2,5,8] => [2,6,5,7,3,1,4,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,7,2,1,5,3,6,4] => [8,3,6,4,5,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,2,8,1,5,6,4,3] => [5,8,7,2,4,1,6,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,3,6,4,1,5,7,2] => [6,2,4,8,5,3,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,6,1,4,8,2,3] => [7,5,2,8,4,3,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,4,1,2,3,6,7,5] => [6,8,3,2,4,5,7,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,6,4,2,1,8,3,7] => [4,1,7,3,2,8,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,1,3,2,7,5,4] => [8,4,7,3,1,5,6,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,4,3,8,1,5,6] => [4,2,3,6,7,1,8,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,4,6,1,3,8,7] => [3,2,8,1,5,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,3,5,8,1,6,7] => [3,1,2,4,6,7,8,5] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[2,6,5,3,8,1,4,7] => [4,6,3,1,2,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,1,2,4,3,5,7,8] => [5,2,3,4,6,1,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,5,8,2,7,3,4,1] => [6,2,1,8,4,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,7,6,8,4,3,2,5] => [7,6,5,3,2,8,1,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,7,6,5,3,8,2,4] => [5,7,4,3,2,8,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,4,1,5,2,6,7,3] => [6,4,2,8,3,5,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,6,3,8,7,2,4] => [2,7,3,8,4,6,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,3,2,6,8,7,1,4] => [2,4,1,7,8,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,2,6,7,1,4,3] => [8,6,3,2,4,7,5,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,3,8,7,1,4,2,6] => [7,2,1,5,6,8,4,3] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[6,4,5,3,1,8,7,2] => [2,4,3,1,8,7,5,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,5,1,2,3,6,7,4] => [6,8,3,4,2,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,8,6,1,5,4,7,3] => [6,5,8,4,1,3,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,6,4,7,1,2,5] => [6,4,7,1,3,8,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,8,7,5,4,3,2,6] => [7,6,5,4,8,3,1,2] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[8,6,4,7,1,3,2,5] => [7,5,3,6,2,8,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,3,4,1,6,2,7,8] => [2,6,4,3,1,5,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,1,4,5,2,7,3,8] => [3,7,5,2,4,1,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,5,8,2,7,4,3] => [3,8,7,5,1,6,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,1,2,3,6,4,5,8] => [6,7,2,3,4,5,1,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,3,1,8,5,4,7,2] => [6,2,5,1,8,7,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,3,8,7,4,5,2] => [6,8,7,3,1,5,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,8,4,6,5,1,7,3] => [8,3,6,5,1,4,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,7,2,8,1,3,6,4] => [8,3,1,5,6,2,7,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,1,2,6,3,8,7] => [5,8,3,2,1,4,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[6,5,1,4,7,3,2,8] => [4,7,6,3,2,1,5,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,7,8,4,1,3,6,5] => [8,5,4,6,1,2,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,6,5,7,8,1,3] => [4,2,3,7,1,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,4,6,7,5,8,1,3] => [3,7,2,5,1,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,6,3,7,8,1,5] => [7,2,4,1,3,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,8,3,4,1,6,7] => [4,6,2,1,5,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,6,4,1,2,7,8,5] => [6,1,3,8,4,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,2,7,6,8,4,3] => [2,5,4,8,7,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,8,2,7,6,5,1,3] => [7,8,1,6,3,5,4,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,5,2,7,1,4,3] => [8,4,6,3,2,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,5,8,2,7,1,4,3] => [8,4,2,1,6,7,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,5,8,2,1,6,4,3] => [8,4,2,7,5,1,6,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,2,1,6,5,8,4,7] => [1,5,2,4,7,8,3,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,6,4,8,5,7,3,1] => [5,2,8,3,7,1,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,8,5,2,1,7,6] => [5,1,2,4,8,6,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,7,4,6,1,3,2] => [8,1,6,4,7,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,4,1,8,7,6,2,5] => [7,8,1,2,6,5,3,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,8,7,5,4,1,6,3] => [8,6,5,4,7,1,3,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,1,5,7,4,2,6,3] => [3,8,6,5,7,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,6,1,3,2,8,5,7] => [4,1,7,8,3,2,5,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,6,5,8,3,1,4,7] => [6,5,3,1,2,7,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,7,8,2,4,5,3,1] => [5,1,8,4,2,7,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,1,8,2,4,5,3,7] => [5,7,4,6,1,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,3,6,4,2,7,1,5] => [5,2,4,7,3,8,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,3,8,4,7,6,2,5] => [7,8,4,6,2,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,4,7,8,5,1,3] => [7,3,2,4,8,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,3,7,6,1,8,2] => [2,1,8,3,6,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,3,7,1,4,2,5] => [3,7,5,6,2,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,1,2,8,7,6,4,5] => [7,8,1,6,5,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,5,4,1,2,3,7,6] => [8,4,5,3,2,6,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,3,2,1,6,4,7,5] => [2,8,3,6,4,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,1,3,2,7,8,5] => [4,1,6,8,3,2,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,7,2,5,8,4,1,3] => [7,4,1,8,3,2,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,4,6,7,1,5,8,2] => [6,1,2,3,8,5,4,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[3,4,5,7,8,1,6,2] => [8,1,2,3,6,4,7,5] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,8,7,4,3,5,2,6] => [5,4,7,6,8,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,8,6,5,3,1,4] => [7,6,2,8,5,1,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,3,6,4,2,7,5,8] => [4,7,2,5,1,3,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[2,3,7,5,8,1,4,6] => [6,4,7,1,2,3,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,2,8,5,6,1,4,7] => [6,1,4,7,2,5,8,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,2,5,8,1,4,6,3] => [6,3,8,2,5,1,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,8,1,2,6,3] => [8,1,5,3,6,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,4,7,5,2,8,1,6] => [5,1,2,4,7,3,8,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,3,2,5,7,8,1,6] => [2,1,7,3,4,5,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,4,7,5,8,3,1,6] => [4,7,2,6,1,3,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,7,3,8,1,6] => [3,2,5,7,1,4,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,8,4,2,1,6,5] => [5,4,8,1,6,2,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,5,4,7,6,3,1,2] => [3,2,7,8,6,5,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[3,2,4,5,8,1,6,7] => [2,1,3,4,6,7,8,5] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[4,8,3,7,6,2,1,5] => [7,1,3,6,8,5,4,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[3,6,5,1,7,2,8,4] => [8,6,1,4,3,2,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,4,1,6,2,8,5,3] => [2,8,7,5,3,4,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,6,7,4,3,8,2,5] => [5,4,2,7,3,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,4,1,6,2,7,3] => [8,6,4,3,2,5,7,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[4,7,2,8,5,1,6,3] => [8,1,6,3,5,2,7,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,6,2,1,5,4,3] => [8,4,7,5,1,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,1,3,8,7,5,6,4] => [6,8,7,1,5,2,3,4] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,6,4,7,3,8,5,2] => [8,3,2,5,4,7,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,7,6,2,4,8,5,3] => [8,5,7,4,3,1,2,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,7,3,2,4,8,6,1] => [3,1,8,4,5,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,6,8,5,4,3,1,7] => [2,7,6,5,1,4,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,7,8,3,6,4,5,1] => [6,8,4,2,7,1,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,1,4,6,5,2,7] => [7,1,4,6,3,5,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,5,4,1,8,3,6] => [7,4,3,8,1,5,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,6,1,8,5,3,2,7] => [7,1,6,5,2,8,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,5,2,1,6,4,7] => [4,7,1,5,3,6,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,4,8,2,6,3,7] => [3,7,5,1,6,8,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,6,7,1,4,3,2,5] => [7,6,4,5,2,8,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,4,7,8,6,3,5,2] => [6,3,8,2,7,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,6,1,2,5,7,4] => [6,8,1,4,5,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,6,2,1,8,5,4] => [8,4,7,1,5,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,3,7,6,1,8,5,2] => [8,1,7,2,5,4,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,3,2,7,1,5,4] => [3,8,4,6,2,7,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,8,1,5,4,7,2,3] => [7,5,4,1,8,3,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,7,2,5,4,8,1,3] => [7,5,3,1,4,2,8,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[4,6,8,7,3,1,2,5] => [6,1,2,7,5,8,4,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,7,5,2,6,3,8,1] => [6,1,4,3,5,2,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,6,2,8,1,4,7] => [4,1,2,6,3,7,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,2,4,3,7,6,8] => [4,7,2,3,1,5,6,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,1,8,2,4,3,5,7] => [6,4,5,7,1,8,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,8,2,5,3,4,7] => [6,7,4,2,5,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,2,7,3,6,4,1] => [8,5,2,7,3,6,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,6,2,4,5,1,3] => [7,4,5,8,6,3,2,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[8,7,6,2,4,5,3,1] => [5,8,4,7,6,3,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[5,4,8,7,1,2,6,3] => [2,1,8,5,6,7,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,5,6,4,3,8,1,7] => [2,5,4,1,3,7,8,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,6,3,5,2,1,4,7] => [3,6,5,7,4,2,8,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,3,8,5,2,7,1] => [6,1,3,2,5,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,1,4,5,6,2,3] => [4,7,5,8,3,6,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,3,8,5,6,2,7] => [5,1,7,3,6,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,2,8,3,1,6,7,4] => [4,6,1,8,2,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,7,8,6,3,2,5,4] => [5,8,6,2,7,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[3,4,6,7,2,1,5,8] => [6,1,2,5,3,7,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,7,1,4,3,8,5] => [5,8,4,1,2,6,3,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,6,2,1,8,3,4] => [4,1,7,8,5,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,2,5,3,8,6,7,1] => [3,1,6,8,2,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,4,8,5,6,1] => [6,8,1,4,2,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,5,1,6,3,8,4] => [8,6,2,4,3,5,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,8,5,4,2,7,1] => [6,5,2,1,4,8,7,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,4,6,1,3,5,2,8] => [5,2,7,4,6,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,3,8,7,4,6,2] => [6,1,8,7,3,5,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,5,3,8,7,4,1,6] => [2,7,6,8,1,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,8,3,5,1,2,7,4] => [3,8,5,1,6,4,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,5,2,8,3,7,1,6] => [1,5,2,7,8,3,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,8,5,1,6,4,3,2] => [8,7,6,4,3,1,5,2] => [1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 22
[8,7,5,1,6,4,3,2] => [8,7,6,4,3,5,2,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[4,6,8,3,2,1,7,5] => [5,1,4,2,8,6,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,8,3,5,1,2,7] => [6,1,4,2,7,5,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,6,3,7,5,2,8] => [7,2,4,3,6,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,6,3,8,5,2,4] => [7,8,4,3,2,6,1,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,2,4,3,7,5,8,1] => [3,6,2,4,1,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,4,2,5,1,7,8,3] => [6,3,2,4,1,8,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,8,2,1,5,7,6,4] => [8,1,3,5,7,4,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,3,2,8,7,4,6,5] => [8,6,7,2,5,1,3,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,4,2,7,3,8,6,1] => [2,1,8,5,3,4,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,2,5,4,1,7,8,3] => [6,4,2,3,1,8,5,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,1,6,3,2,4,7] => [6,5,7,3,2,4,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,7,4,3,2,5,1] => [1,6,5,4,8,7,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,1,5,4,6,7,3,2] => [4,3,5,8,7,2,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,4,5,8,3,7,6,1] => [8,2,3,5,7,1,6,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,6,4,1,8,2,7,3] => [1,8,6,3,2,7,4,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,5,1,3,8,7,2] => [2,8,5,3,1,7,4,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,1,3,5,4,8,2,7] => [5,3,4,7,1,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,7,2,5,6,4] => [6,8,5,7,2,4,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,4,1,8,3,7,6] => [3,2,8,1,6,7,4,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,4,8,3,7,6,2] => [8,3,1,5,7,6,2,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,4,1,2,7,6,5,3] => [2,8,7,6,3,4,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,8,3,2,7,6,5,1] => [8,1,3,7,4,6,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[5,3,1,2,4,6,8,7] => [8,3,2,4,1,5,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,1,2,8,7,5,4,6] => [7,1,6,8,5,2,3,4] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,7,1,5,2,8,4,3] => [8,7,5,3,1,4,2,6] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,5,3,7,6,4,8,2] => [2,6,5,3,4,8,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,8,1,3,6,2,7,5] => [1,8,4,6,3,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,3,4,8,6,5,1] => [8,7,3,4,1,2,6,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,8,2,4,7,3,6,5] => [8,4,6,7,3,5,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,1,6,5,8,3,4] => [7,5,4,8,1,3,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,3,8,1,5,7,4] => [6,8,2,3,1,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,6,2,4,7,1,3] => [7,4,2,5,3,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,8,5,6,7,1,3,2] => [3,8,1,6,4,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,5,7,3,6,4,2] => [3,8,5,7,6,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,3,7,1,2,8,5,6] => [2,1,7,8,4,5,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,7,6,4,3,8,5,1] => [4,8,5,3,1,2,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,8,1,6,2,5,3,7] => [1,7,5,6,3,4,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,8,4,2,5,7,3,6] => [5,3,7,8,4,6,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,8,3,1,2,4,6,7] => [4,5,3,1,6,7,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,4,8,5,2,3,7,6] => [8,2,5,4,6,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,4,2,6,8,3,5] => [3,7,5,8,2,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,8,7,2,4,3,6] => [2,7,5,6,8,4,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,4,2,8,3,7,6] => [3,2,8,6,7,1,4,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,8,7,3,5,4,6] => [7,5,6,8,4,1,2,3] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,7,1,3,2,5,4,6] => [4,7,3,5,6,8,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,7,4,2,8,1,3,5] => [4,6,3,1,7,2,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,1,6,8,7,2,3,5] => [1,6,3,7,8,5,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,5,6,2,8,3,1] => [3,8,1,5,4,2,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,7,5,2,8,4,3,1] => [1,8,7,4,3,2,6,5] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[6,8,4,3,2,7,5,1] => [4,3,1,8,5,7,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,3,7,6,4,8,2,5] => [5,7,4,2,3,8,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,4,8,7,3,1,5] => [7,3,2,6,8,1,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,1,8,7,3,5,4,6] => [7,5,6,8,1,4,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,8,7,4,3,2] => [8,3,1,7,6,5,2,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,1,8,5,7,4,3,2] => [4,1,8,7,6,5,2,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[8,5,1,4,7,6,3,2] => [8,4,2,7,6,3,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,6,7,3,5,8,4,1] => [5,2,8,4,1,3,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,7,3,5,8,1,4] => [7,4,2,5,1,3,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,1,6,4,8,2,7] => [2,5,4,1,7,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,5,6,7,1,4,8,3] => [2,6,3,8,1,5,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,5,3,2,8,1,6] => [5,1,4,3,7,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,5,2,8,6,1,3] => [7,1,3,8,4,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,8,6,7,2,5,4,1] => [8,5,3,7,1,6,4,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,1,2,7,4,3,6] => [7,6,1,8,3,4,5,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,3,1,8,2,4,5,7] => [5,2,6,7,1,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,4,7,5,8,6,3] => [8,5,1,3,4,7,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[7,6,2,4,8,3,1,5] => [4,7,3,6,2,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,8,1,4,3,7,2] => [6,5,2,1,8,4,7,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,3,1,2,5,4,7] => [7,4,3,5,1,6,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,5,1,8,7,3,4,6] => [6,2,7,8,1,5,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,8,4,3,5,1,7,2] => [4,3,1,8,6,5,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,4,7,3,6,8,2,5] => [7,2,4,5,3,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,7,1,4,6,8,2,5] => [7,1,4,5,8,3,2,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,4,7,3,6,8,1,5] => [7,2,4,5,1,3,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,7,5,6,1,8,4,3] => [3,8,7,5,1,4,2,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,2,6,7,4,5,8,3] => [5,3,6,4,8,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,5,2,8,7,1,4,3] => [8,6,2,1,7,3,5,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,2,3,6,8,1,4,5] => [6,7,2,3,4,1,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,1,4,2,7,3,6] => [7,4,1,8,3,5,6,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,8,2,1,7,3,5] => [4,2,7,1,8,5,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,1,8,7,5,6,4] => [6,8,7,1,2,5,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,6,7,2,4,3,8] => [2,7,5,3,6,1,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,8,3,7,1,2,5,4] => [3,8,5,1,6,7,4,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,8,6,4,1,5,3,7] => [7,5,4,6,1,3,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,7,3,6,2,4,8] => [4,2,6,7,5,1,3,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,6,5,3,8,2,4,7] => [4,6,3,2,7,8,1,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,6,1,2,4,8,3,7] => [5,7,1,8,3,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,7,4,5,1,3,2,6] => [7,5,3,6,4,8,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,1,8,7,2,5,3,6] => [1,7,5,6,8,4,2,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,6,3,8,4,1,7,5] => [5,8,3,1,2,6,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,6,7,4,1,2,5,8] => [5,6,1,4,2,7,3,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,7,5,8,2,3,6] => [6,2,4,7,3,8,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,8,4,7,3,2,5] => [4,2,7,6,8,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,7,5,4,8,1,2] => [2,7,5,1,4,3,8,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,3,5,7,8,1,6,4] => [8,3,6,1,2,4,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,5,7,4,2,3,6,8] => [5,2,6,4,7,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,7,5,3,6,8,1] => [5,2,4,6,1,3,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,2,4,7,8,6,3,5] => [7,4,8,3,6,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,4,7,8,3,5,1,6] => [5,7,2,6,1,3,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,6,2,5,8,4,7] => [5,7,2,3,8,1,4,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,3,6,8,2,4,7] => [6,3,2,4,7,8,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,8,1,2,6,3,7,5] => [1,8,6,3,4,5,7,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,8,1,2,6,3,7,4] => [8,6,3,1,4,5,7,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[1,6,2,3,7,5,8,4] => [6,5,8,3,1,2,4,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,1,2,6,5,7,8,3] => [5,4,1,6,8,2,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,8,4,2,7,3,6,5] => [3,8,6,7,4,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,7,5,2,3,8,6,4] => [8,7,4,3,5,1,2,6] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[2,6,1,8,3,7,4,5] => [7,8,5,1,2,6,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,2,1,3,7,5,6] => [3,7,2,8,4,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,1,7,6,8,3,4] => [2,7,5,1,4,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,3,1,8,2,4,7,6] => [2,8,5,1,6,7,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,2,6,3,7,5,8,4] => [6,5,3,8,1,2,4,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,1,8,3,2,4,7,6] => [4,8,5,1,6,7,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,5,4,6,7,8,2] => [1,4,3,5,6,8,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,8,5,7,3,1,4,6] => [6,5,3,7,8,1,4,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,8,7,3,1,4,5] => [6,5,2,7,8,1,4,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,4,2,1,3,8,5,6] => [3,7,2,8,4,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,1,3,8,5,4,6] => [7,2,6,8,3,4,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,1,7,3,8,6,4,5] => [7,8,6,1,4,2,3,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,5,3,2,4,8,6] => [4,8,5,3,6,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,4,2,7,6,5,8,3] => [6,2,5,4,8,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[2,8,7,3,4,1,5,6] => [4,6,5,7,8,1,3,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,6,2,3,8,1,4] => [4,1,5,7,3,2,8,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,1,8,7,5,2,6,4] => [8,6,1,5,7,4,2,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,8,4,1,5,2,7,6] => [5,1,3,8,4,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,1,7,8,3,2,6,4] => [5,1,8,6,3,7,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,6,2,4,3,7,5] => [5,8,4,6,3,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,3,1,6,4,7,5] => [8,3,6,1,4,5,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,4,3,1,2,7,6,8] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[4,1,6,5,2,3,7,8] => [5,1,6,4,2,3,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,1,5,2,3,6,4,8] => [7,4,5,2,3,6,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,6,3,7,2,5,8] => [4,1,6,3,7,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,6,1,2,8,3,7,5] => [1,8,6,7,3,2,4,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,3,6,7,2,5,8] => [6,3,1,4,7,2,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,6,7,4,3,1,5,8] => [6,5,4,1,2,7,3,8] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[2,7,5,8,1,3,6,4] => [8,5,3,6,1,2,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,1,6,7,3,2,4,8] => [6,5,3,1,7,2,4,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[5,6,1,4,7,2,3,8] => [6,4,1,7,3,2,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,2,5,7,8,6,3,4] => [7,3,4,8,6,1,2,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,2,6,7,4,5,3,8] => [5,3,7,6,1,2,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[1,2,7,8,4,6,3,5] => [5,7,3,8,6,1,2,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,3,8,6,7,1,5,2] => [8,1,6,2,4,7,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,3,2,4,7,1,6,5] => [2,8,3,4,6,7,5,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,3,2,8,6,1,5,4] => [8,2,6,7,3,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,8,2,6,1,4,3] => [8,4,2,6,1,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,6,8,2,7,4,1,3] => [1,7,2,8,4,6,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,4,1,2,3,6,8,5] => [6,8,3,2,4,5,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,6,7,3,1,5,2] => [8,2,6,5,3,7,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,6,8,5,1,2,7,3] => [8,1,5,2,6,4,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,3,5,7,1,2,8,4] => [8,2,5,3,1,6,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,8,5,3,2,4,6,7] => [5,4,6,3,7,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,8,3,4,2,5,7] => [4,6,5,2,7,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,8,7,5,3,4,2,6] => [5,7,6,4,8,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,8,5,3,4,2,6] => [5,7,6,4,2,8,1,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,6,8,4,2,3,5] => [6,7,5,3,2,8,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,8,6,4,3,2,5] => [7,6,5,2,8,4,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,1,7,8,4,2,3,6] => [6,1,7,5,3,8,2,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,8,2,1,6,7,5,4] => [5,8,1,3,7,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,3,1,7,5,6,4] => [6,8,3,7,1,4,5,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,6,2,1,4,7,3] => [4,6,2,8,5,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,6,4,7,8,5,3,1] => [4,2,8,3,7,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,4,5,6,1,3,2] => [3,8,6,4,1,7,5,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[2,5,1,8,4,6,7,3] => [5,2,6,8,1,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,8,3,4,2,1,7] => [4,2,1,7,6,5,8,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,8,7,3,2,1,4,5] => [6,5,4,1,7,8,3,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,1,8,3,4,2,5,7] => [4,6,5,7,1,8,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,1,2,4,3,8,6] => [5,8,3,4,2,6,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,8,1,4,2,3,5] => [6,7,4,5,2,1,8,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,3,7,8,5,6,1] => [6,2,4,8,1,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,1,5,3,8,2,4,7] => [4,6,3,7,1,8,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,6,8,5,1,7,4] => [3,8,6,1,2,5,7,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[3,2,4,8,6,1,7,5] => [8,1,6,2,3,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,1,3,8,4,5,7,6] => [8,1,5,6,7,2,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,1,3,7,8,4,6,5] => [8,6,1,4,7,2,3,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,1,3,8,4,7,6,5] => [8,7,1,5,6,2,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,1,2,8,4,5,7,6] => [1,8,5,6,7,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,2,8,7,5,4,6,3] => [6,5,8,7,4,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[3,2,6,5,7,8,1,4] => [4,1,3,7,2,5,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,2,7,5,6,8,1,4] => [4,7,1,5,2,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,1,8,7,4,6,5,3] => [8,5,7,6,1,4,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,5,8,4,7,3,2] => [3,5,1,8,7,6,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,8,5,1,6,4,3,7] => [7,6,4,1,3,5,8,2] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[2,4,7,1,8,3,6,5] => [8,2,6,7,1,4,3,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,4,2,3,8,7] => [8,5,4,2,3,1,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,4,5,1,2,8,3,7] => [7,2,8,4,3,1,5,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,4,1,5,7,6,3,2] => [2,8,4,7,6,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,6,2,5,3,8,1,7] => [1,5,3,4,2,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,4,3,6,7,2,1] => [1,4,3,5,8,7,6,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,2,6,5,1,8,4,7] => [7,1,4,2,3,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,4,5,8,1,6,2,3] => [2,7,3,8,5,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,1,8,4,6,7,3,2] => [4,1,5,8,7,6,2,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,5,3,8,1,7,2,4] => [3,7,2,1,8,5,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,4,6,5,7,2,3] => [7,3,5,4,8,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,5,6,4,2,3] => [7,4,8,6,5,2,3,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,6,1,5,3,7,2,4] => [5,7,4,8,3,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,3,6,8,1,5,4] => [8,6,2,3,4,1,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,6,3,7,8,1,4,5] => [6,7,3,1,2,4,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,3,8,7,2,1,5,4] => [5,8,2,1,6,7,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,2,5,6,3,4,8,1] => [5,3,6,2,4,1,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,8,6,3,1,5,4] => [5,8,6,7,2,1,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,4,5,8,6,3,1] => [8,3,4,7,2,1,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,3,8,4,7,2,5,1] => [4,6,1,8,2,7,5,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,3,6,8,5,4,1] => [4,8,7,2,3,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,8,5,4,1,3,6] => [6,7,5,2,4,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,5,2,8,1,6,3] => [2,8,4,3,6,1,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,3,6,8,4,5,1] => [6,4,8,2,3,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,5,4,8,3,6,1] => [4,3,6,8,2,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,4,5,2,8,3,6,1] => [2,6,3,8,4,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,1,6,7,4,5,2,8] => [5,1,3,7,6,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,3,6,8,2,4,5,1] => [5,6,2,3,1,8,7,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,1,3,2,4,6,8,7] => [3,8,2,4,1,5,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,4,2,5,7,3,8,1] => [4,2,6,3,1,5,8,7] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,5,2,8,3,7,1] => [2,6,3,1,8,4,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,5,2,4,3,8,7,1] => [4,8,3,2,1,5,7,6] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,3,4,1,8,2,7] => [3,7,4,2,1,8,5,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,5,3,8,1,2,7] => [2,6,4,3,1,7,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,6,4,8,3,1,2,7] => [1,6,3,2,7,5,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,2,4,6,3,8,5,1] => [8,3,5,2,4,1,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,3,7,6,1,5,4] => [8,6,7,3,5,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,5,3,8,1,7,2] => [4,1,3,2,8,6,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,4,8,7,6,1,5,3] => [8,6,7,2,5,1,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,8,7,4,6,5,1] => [8,5,7,1,6,2,4,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,2,6,5,1,4,3,7] => [7,5,6,2,4,3,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,8,5,2,7,6,3,1] => [3,8,1,7,4,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,6,5,7,1,3,4] => [6,7,4,3,8,1,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,8,5,1,7,6,3,2] => [3,8,1,7,6,4,5,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,1,7,6,2,3,4] => [6,1,7,8,5,3,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,5,2,6,8,3,4] => [7,5,3,8,4,1,2,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,1,7,2,4,6,3,8] => [5,7,4,1,6,2,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,8,2,1,3,4,7,5] => [3,8,4,5,1,6,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,1,7,6,4,3,8] => [7,6,2,1,5,3,4,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,4,8,5,1,7,2,3] => [2,7,1,8,5,4,6,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,2,8,1,3,6,7,4] => [6,8,2,1,4,5,7,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,4,3,8,5,6,1,2] => [2,7,3,5,1,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,2,1,8,7,4,5,3] => [6,8,7,2,1,5,3,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,2,1,7,6,3,4,8] => [6,7,2,1,5,3,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[8,6,4,3,2,7,5,1] => [4,3,8,5,2,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[1,3,4,7,8,2,6,5] => [8,6,2,3,4,7,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,5,4,3,8,7,2,6] => [3,2,7,8,4,6,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,5,8,4,3,6,7] => [3,6,5,7,8,1,2,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,5,8,2,6,4,3,7] => [2,7,6,4,5,8,1,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,6,7,2,4,8,1] => [2,5,1,3,6,4,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,6,8,2,4,1] => [6,2,4,1,3,8,7,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,5,2,7,6,8,4,1] => [2,5,1,4,8,3,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,4,2,6,8,1] => [2,5,1,4,6,3,8,7] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,4,5,7,2,8,6,1] => [8,1,2,3,5,4,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,5,4,7,8,2,6,1] => [2,6,1,3,4,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[3,5,4,7,2,8,6,1] => [2,8,1,3,5,4,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,5,7,4,8,6,1] => [8,1,3,5,2,4,7,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,7,8,4,2,6,1] => [6,2,5,1,3,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,3,5,7,8,4,6,1] => [6,3,4,8,1,2,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,7,8,2,6,4,1] => [8,2,5,1,3,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,2,5,6,7,3,8,1] => [3,1,4,6,2,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,6,1,4,3,5,2,7] => [5,4,7,3,6,2,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,1,8,4,3,5,2,7] => [5,4,7,6,1,8,2,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,6,4,8,2,3,7] => [6,4,3,1,7,8,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,1,4,2,5,3,6,7] => [6,4,2,3,5,7,8,1] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[2,8,4,1,5,3,6,7] => [6,4,1,3,5,7,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[4,1,8,3,5,2,6,7] => [4,1,6,5,7,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,5,1,8,7,6,3] => [1,8,3,7,2,6,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,3,2,4,6,8,1,5] => [2,7,3,4,5,1,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,4,8,6,7,2,5,3] => [8,6,2,4,7,5,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,6,8,1,2,5,3,7] => [1,7,4,5,2,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,5,6,8,2,1,4,7] => [2,6,1,5,3,7,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,5,4,1,3,7,6] => [8,5,2,4,3,6,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,4,5,8,6,3,1,7] => [7,2,3,6,1,5,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,4,8,2,3,1,7,6] => [4,2,1,5,8,6,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,5,8,2,3,1,6] => [5,1,3,7,6,2,8,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,7,5,1,8,3,2] => [2,8,1,7,5,4,3,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,3,6,5,8,2,4] => [7,5,3,4,2,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,5,3,8,6,2,1,4] => [7,3,2,6,1,8,5,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,1,8,2,6,5,4] => [8,2,7,5,6,3,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,7,5,2,8,3,1] => [2,8,1,5,4,3,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,7,2,4,3,1,6] => [1,7,4,6,5,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,1,2,8,6,7,3,4] => [7,5,1,8,6,2,3,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[2,5,7,8,6,1,4,3] => [8,2,6,3,7,1,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,2,6,8,4,5,1,3] => [7,5,3,8,2,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,1,7,6,8,2,3,4] => [6,1,7,4,3,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,1,6,2,4,5,3,8] => [5,7,4,6,2,3,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,1,6,2,3,4,8] => [5,6,1,7,3,4,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,5,8,3,4,1,7] => [5,3,7,2,1,6,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,8,7,1,3,2,4] => [1,7,5,2,6,8,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,5,3,4,8,2,6,7] => [3,4,2,6,7,8,1,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,1,3,6,5,8,4,7] => [5,1,4,7,8,2,3,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[2,8,6,5,7,4,3,1] => [4,3,8,7,6,1,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,6,5,7,4,1,3] => [7,4,3,8,6,1,5,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,5,2,7,4,3,1,8] => [7,6,3,2,1,5,4,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[6,5,2,8,4,3,7,1] => [6,5,2,1,8,3,7,4] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[7,5,8,3,4,2,1,6] => [4,2,7,6,5,1,8,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,3,7,2,4,1,8,6] => [2,4,1,5,8,6,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,1,2,8,6,3,7,4] => [8,6,5,1,7,2,3,4] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,1,5,7,2,4,3,8] => [7,5,3,6,2,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,1,8,2,6,5,7,3] => [1,6,5,8,4,7,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,1,4,7,8,5,3,2] => [4,8,3,1,7,6,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,5,7,8,4,2,3] => [3,7,4,1,8,6,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,3,7,1,2,6,8,5] => [2,1,6,8,4,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,1,6,5,2,7,4,3] => [8,7,5,4,2,3,6,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[6,8,1,5,2,7,4,3] => [8,7,5,3,1,4,6,2] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[5,6,2,7,4,8,3,1] => [1,5,4,2,8,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,3,2,4,8,6,5] => [8,3,7,4,5,1,2,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,3,1,8,2,6,7,5] => [2,1,6,8,5,7,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,1,3,2,5,7,6] => [4,1,8,3,5,6,7,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,7,5,3,8,6,2,4] => [7,3,8,4,2,6,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,2,5,8,1,3,7,6] => [3,1,8,2,5,6,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[3,1,8,2,6,5,4,7] => [7,1,6,4,5,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,3,8,4,1,5,7,6] => [4,8,1,2,5,6,7,3] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,7,8,1,4,3,6,5] => [5,8,4,6,1,2,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,4,1,3,2,5,6,7] => [5,3,4,2,6,7,8,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,6,1,2,3,5,4,7] => [7,3,4,5,6,2,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,8,1,5,2,4,6,3] => [6,8,5,3,4,1,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,6,3,1,5,4,7] => [4,7,5,6,1,3,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,7,2,8,4,1,6,3] => [1,8,6,3,5,2,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,5,6,3,8,1,4,7] => [4,2,6,1,3,7,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,6,8,1,4,5,3,2] => [5,8,7,4,2,1,6,3] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,5,1,8,4,6,3,2] => [5,2,8,7,6,3,1,4] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,7,8,5,6,4,3,2] => [4,2,8,7,6,5,1,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[2,8,1,7,4,5,3,6] => [5,7,6,8,1,3,4,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,6,2,5,4,8,1] => [6,2,4,5,3,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,5,6,4,3,7,2] => [3,6,5,4,8,7,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,6,8,4,5,1,7,3] => [4,2,8,6,1,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,5,7,8,1,3,2] => [3,1,2,8,6,4,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,5,8,6,4,7,1,3] => [7,2,5,4,8,1,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,3,2,1,7,8,4,6] => [2,7,3,1,5,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,4,1,3,6,7,2,5] => [7,4,2,5,8,3,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,6,5,3,8,4,7,2] => [6,3,2,8,4,7,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,5,3,4,8,1,7] => [4,5,2,3,1,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,2,5,3,4,8,7,1] => [8,4,2,3,1,5,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[5,3,4,8,1,7,2,6] => [2,3,1,7,8,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,1,3,4,8,7,2,6] => [7,8,3,1,4,6,2,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,5,3,4,8,7,2,6] => [7,2,8,3,4,6,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,3,8,4,7,6,2] => [8,5,1,7,3,6,2,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,8,1,4,7,6,2] => [8,2,1,5,7,4,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,3,5,8,1,7,6,2] => [1,8,2,3,7,5,6,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,6,5,4,8,1,2,7] => [6,4,1,3,2,7,8,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,6,5,4,8,2,7,1] => [4,3,1,2,6,8,7,5] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,5,2,4,8,7,6,1] => [2,8,1,7,3,4,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,3,6,8,4,1,7] => [4,2,7,1,3,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,6,2,5,1,7,8,3] => [1,6,3,4,2,8,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,6,5,8,4,1,7] => [4,3,7,1,2,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,5,1,7,6,4,8] => [3,7,1,2,6,4,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,1,7,4,8,6,5] => [8,7,1,2,5,3,4,6] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,3,8,7,6,4,1,5] => [7,6,8,5,1,2,4,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,6,3,7,4,1,5,8] => [6,3,5,1,2,7,4,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,8,3,6,4,2,7,5] => [5,8,3,6,4,7,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,7,4,8,5,3,6] => [7,4,6,1,3,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,1,7,3,2,5,4,6] => [4,7,5,6,8,2,3,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,2,8,1,3,6,7,5] => [6,1,8,2,4,5,7,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,4,6,3,1,2,5,8] => [5,2,6,4,7,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,1,3,7,2,5,8] => [4,6,2,7,3,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,2,5,3,6,1,4,7] => [4,6,2,3,7,5,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,5,1,4,6,2,8] => [5,7,1,4,3,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,7,4,1,5,2,3] => [7,1,8,5,4,6,3,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,4,7,5,1,3,2] => [3,8,6,2,7,5,4,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[6,1,2,4,7,8,3,5] => [7,4,5,8,2,1,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,4,6,5,7,1,8,3] => [4,2,3,8,1,6,5,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,4,7,8,5,3,1] => [4,8,3,1,7,2,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,5,2,1,7,8,6,4] => [5,1,2,8,3,7,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,2,7,8,6,5,1,3] => [7,1,3,8,6,2,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,2,7,8,6,4,5,3] => [6,3,8,7,5,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,8,1,2,6,5,3,7] => [1,7,6,3,4,5,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,1,6,3,2,4,8,5] => [4,8,5,6,2,3,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,8,1,2,3,7,5] => [8,4,2,5,1,6,7,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,4,1,3,6,8,5,2] => [5,2,8,4,7,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,8,3,2,6,5,4] => [8,4,7,5,6,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,5,1,6,4,3,8] => [7,6,2,4,3,5,1,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,3,8,5,7,1,4,2] => [8,6,2,1,4,7,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[2,8,3,1,4,6,5,7] => [3,7,1,4,5,6,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[3,7,1,6,5,8,2,4] => [7,5,1,4,8,3,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,4,3,6,8,2,1,5] => [2,7,3,6,4,1,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,5,4,7,6,1,2] => [4,3,7,8,1,6,5,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,6,5,1,3,8,7,2] => [8,1,5,3,2,7,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,6,2,1,8,7,3] => [2,1,8,4,3,7,5,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,4,1,2,8,6,7] => [7,1,3,2,8,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,8,1,4,2,6,7] => [2,6,4,1,5,7,8,3] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,3,8,1,4,2,7,6] => [2,5,1,8,4,6,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,5,7,6,3,4,1,2] => [2,7,5,8,6,4,3,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[6,4,5,3,1,7,8,2] => [2,6,4,3,1,8,5,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,3,5,6,4,1,8,2] => [3,8,2,6,5,4,1,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,5,6,3,4,1,8,7] => [4,2,5,1,3,8,6,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,2,1,5,8,3,7] => [3,1,5,7,2,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,5,8,7,4,1,6] => [7,3,6,8,1,2,5,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,3,5,8,7,4,6,1] => [6,8,3,7,1,2,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,3,7,8,1,2,6] => [1,3,2,6,7,4,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,5,8,1,6,4,7] => [3,7,1,2,5,6,8,4] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[8,6,1,5,4,2,7,3] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,8,5,6,3,1,4,7] => [6,5,3,7,1,4,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,3,7,8,1,5,4,6] => [7,5,6,1,2,3,8,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[5,2,6,7,8,3,1,4] => [3,1,7,6,2,4,8,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,6,2,7,8,3,1,4] => [1,7,6,3,2,4,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,3,7,5,8,4,6,1] => [4,6,3,8,1,2,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,8,5,1,4,6,2] => [6,8,5,1,4,2,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,3,6,4,2,1,7] => [7,3,2,6,5,4,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,3,7,8,5,4,6,1] => [6,5,3,8,1,2,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,4,7,8,1,2,5,3] => [2,8,5,1,6,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,5,8,1,2,3,6,4] => [8,4,5,2,6,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,2,8,7,4,6,5,3] => [8,5,7,6,4,1,2,3] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,1,4,8,7,3,6,2] => [6,1,8,3,7,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,6,5,3,1,4,8] => [6,5,7,2,4,3,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,7,6,2,4,8,5] => [8,5,6,2,4,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,3,8,2,7,4,6,5] => [8,6,7,2,4,5,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,2,7,1,6,4,3,5] => [7,6,8,2,4,5,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,2,8,1,7,5,6] => [2,1,7,8,3,5,6,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,5,4,1,6,3,8,2] => [6,5,3,2,8,4,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[1,6,5,3,2,4,8,7] => [4,8,5,3,1,2,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,7,3,5,2,4,8,6] => [8,3,5,4,6,1,2,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,4,3,2,6,8,7] => [4,3,8,2,1,5,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[8,3,7,5,4,2,6,1] => [6,5,2,4,8,7,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,6,8,7,5,2,3,4] => [6,2,7,8,5,4,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,3,6,1,8,5,2,7] => [1,7,2,6,3,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,3,6,2,5,4,8,7] => [5,8,2,4,1,3,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,5,7,6,3,1,8,2] => [8,1,2,6,5,4,3,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,6,7,5,1,3,8,2] => [6,1,2,8,5,4,3,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,5,1,4,7,8,2] => [5,6,1,3,2,8,4,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,7,3,1,5,8,2] => [6,1,4,2,8,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,4,1,8,7,3,6,2] => [2,1,6,8,7,5,3,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,4,7,5,3,1,8] => [7,3,6,2,1,5,4,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,5,1,8,7,3,4] => [7,3,8,2,1,6,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,2,6,1,5,8,7,4] => [8,1,5,2,3,7,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,2,3,6,7,5,1,8] => [4,1,7,2,3,6,5,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,6,3,8,4,7,2,5] => [5,7,2,8,3,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,5,8,1,4,2,3,6] => [6,7,4,2,5,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,3,4,8,5,6,2,7] => [5,7,2,3,6,8,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,2,7,1,8,6,5,4] => [8,7,1,6,2,4,3,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,3,8,5,6,7,2,4] => [4,7,5,8,2,6,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,2,4,1,5,7,8,3] => [5,2,3,6,1,8,4,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,8,4,1,3,6,7,2] => [5,1,6,3,8,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,6,3,1,2,5,7,8] => [4,1,5,3,6,2,7,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,5,4,7,3,1,2,6] => [6,3,2,7,5,8,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,2,1,5,4,8,6] => [3,2,5,8,4,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,6,4,8,1,3,7] => [2,6,4,1,3,7,8,5] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,4,1,6,2,3,7,8] => [5,6,3,2,1,4,7,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,3,6,5,2,4,7,8] => [5,6,2,4,1,3,7,8] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[5,4,1,2,7,6,3,8] => [7,6,3,2,1,4,5,8] => [1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10
[5,8,7,3,1,2,4,6] => [5,1,6,4,7,8,3,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,1,2,8,7,3,6,5] => [1,8,6,7,5,2,3,4] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,2,4,3,8,7,5] => [8,4,7,2,3,1,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,7,8,1,2,4,6,5] => [8,1,4,5,6,2,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,3,4,1,2,6,8,5] => [2,6,3,8,4,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,3,1,2,6,5,7] => [7,4,3,2,5,6,8,1] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[3,8,2,7,4,5,1,6] => [5,7,1,3,6,8,4,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,6,2,3,5,4,1,7] => [7,3,4,6,5,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,2,6,1,3,5,4,7] => [7,2,4,5,6,3,8,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,3,7,2,5,6,1] => [3,2,5,6,8,7,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,2,4,5,1,7,3,6] => [3,7,2,4,8,5,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,2,4,5,1,7,3] => [4,8,3,1,6,5,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,3,7,1,5,6,2] => [3,2,6,8,5,7,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,3,4,7,2,6,5,1] => [8,2,3,5,7,6,4,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[8,1,3,7,6,4,5,2] => [6,8,7,3,5,2,4,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,3,6,1,2,5,4] => [3,8,5,6,7,4,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,2,7,1,3,4,6,5] => [8,2,4,5,6,7,3,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[5,1,8,4,2,3,7,6] => [8,5,4,1,6,7,2,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[8,2,7,6,3,1,4,5] => [6,5,7,8,2,4,3,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,8,1,4,7,3,2,5] => [4,7,6,1,8,3,5,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,7,2,6,3,1,4] => [7,4,2,6,8,5,3,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,8,2,7,3,1,6,4] => [5,1,8,3,6,7,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,1,2,6,7,5,4,3] => [4,8,7,6,2,3,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,4,1,7,5,6,2,3] => [2,7,5,8,6,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,2,4,7,6,5,1,3] => [7,8,3,6,2,5,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,2,4,7,3,6,5,1] => [8,3,5,7,2,6,4,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,4,7,3,6,5,2] => [8,3,5,7,6,2,4,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[2,8,1,5,3,7,6,4] => [4,8,7,1,3,5,6,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,8,2,4,7,5,6,3] => [6,8,4,7,3,5,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,3,8,4,7,1,6,5] => [8,4,6,7,1,2,5,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,8,2,3,5,6,4,7] => [5,7,3,4,6,8,1,2] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,8,2,3,7,6,4,5] => [7,8,6,3,4,5,1,2] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,2,3,7,4,1,6] => [7,3,1,4,6,8,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,3,5,6,4,8,2,7] => [3,5,2,4,7,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[3,1,7,8,5,2,4,6] => [6,7,1,5,3,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,1,8,2,7,5,3] => [8,1,7,5,2,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,3,5,2,8,4,7,1] => [6,2,3,1,8,4,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,8,6,3,7,2,1] => [1,5,2,4,8,7,6,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,4,5,8,1,3,7,2] => [2,6,3,1,8,5,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,3,5,1,8,4,7,2] => [6,2,3,1,8,7,4,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,5,4,8,6,3,1,7] => [2,7,3,6,1,5,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,5,4,8,6,3,7,1] => [2,6,3,5,8,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,2,5,4,8,6,3,7] => [3,7,4,6,8,1,2,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,4,5,8,2,1,7,3] => [2,5,3,1,8,6,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,4,1,2,6,8,7] => [2,8,4,3,1,5,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,4,3,5,2,8,6,7] => [3,2,4,7,8,1,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,3,5,4,8,2,6,7] => [4,2,3,6,7,8,1,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[3,5,4,8,2,6,1,7] => [3,1,2,5,7,6,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,4,5,1,2,8,7] => [3,8,1,5,4,2,6,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,5,4,8,1,6,2,7] => [3,1,2,7,5,6,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,4,8,5,6,1,2,7] => [6,1,2,4,7,5,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,4,8,5,6,2,1,7] => [4,7,1,2,6,5,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,4,8,1,6,7,2] => [3,1,2,6,8,5,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,4,3,1,5,8,6,7] => [3,1,2,7,8,4,5,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[1,7,6,2,5,4,8,3] => [6,5,8,4,3,1,2,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[5,6,1,7,4,3,8,2] => [1,6,5,4,2,8,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,1,6,4,3,5,2,7] => [5,4,7,6,2,3,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,3,7,8,2,6,4,5] => [7,8,5,2,3,6,1,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,6,5,3,8,7,4] => [4,3,8,1,7,2,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,7,5,6,4,2,1,8] => [3,7,6,1,5,4,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,1,4,3,7,5,8,2] => [3,6,4,5,1,8,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,6,4,5,2,7,1] => [4,6,5,1,3,8,7,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,5,7,2,8,6,3,1] => [8,1,2,7,4,3,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,6,8,5,1,3,7,2] => [6,1,2,8,5,4,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,8,4,6,1,5,2] => [4,8,6,1,2,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,5,7,2,1,6,8,3] => [1,4,2,6,8,5,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,1,6,8,3,7,2] => [1,4,2,6,8,7,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,3,5,4,6,1,2,7] => [6,2,4,3,7,5,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,4,5,2,6,8,3] => [3,6,4,8,5,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,2,6,3,4,1,5,7] => [4,6,2,5,7,3,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,6,5,8,2,1,3,7] => [6,1,5,3,2,7,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,8,7,4,2,3,6,5] => [8,5,4,6,7,3,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,3,1,8,5,7,2,6] => [2,1,5,7,8,6,3,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,3,2,4,8,1,6,5] => [2,8,3,4,6,1,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,4,6,1,8,5] => [8,1,4,6,2,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,3,2,4,5,7,1,6] => [3,2,4,5,7,8,6,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[7,4,6,2,1,3,8,5] => [4,2,8,5,6,3,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,3,2,8,6,1,5,7] => [2,1,6,7,3,5,8,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,1,6,3,2,5,7,8] => [5,4,1,6,2,3,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[5,7,1,8,4,3,6,2] => [1,6,5,8,7,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,4,6,3,1,5,2,7] => [2,7,5,4,6,3,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,2,5,4,1,8] => [7,4,6,1,5,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,1,5,3,4,6,8] => [5,6,1,3,4,7,2,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,2,3,8,7,1,6,4] => [8,6,1,7,2,3,5,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,2,4,1,3,8,6] => [8,3,5,4,2,6,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,6,8,5,1,3,4] => [6,7,3,8,2,1,5,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,5,4,1,3,7,2] => [6,8,5,4,3,2,7,1] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[7,4,3,8,1,6,5,2] => [2,8,3,7,5,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,5,1,4,3,8,7,2] => [4,8,5,2,1,7,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,3,2,4,5,8,1,7] => [3,2,4,5,1,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,5,8,3,1,7] => [3,4,2,7,1,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,4,8,6,2,5,1] => [6,8,3,1,2,7,5,4] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,7,2,4,5,8,6,3] => [8,4,5,7,3,1,2,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,4,6,8,7,2,5,3] => [3,8,2,6,7,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,6,2,7,5,3,4,8] => [6,7,5,3,1,2,4,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,3,7,2,6,4,5,8] => [6,7,2,4,5,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,7,3,2,8,5,6,4] => [6,8,3,7,4,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,5,2,4,8,3,7] => [5,7,3,2,8,1,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,7,3,8,4,2,5,6] => [6,3,5,7,2,8,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,6,2,4,7,5,8,3] => [6,4,5,2,8,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,6,2,7,4,3,8,5] => [5,8,6,3,1,2,4,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,5,8,2,3,6,4,7] => [7,4,2,5,6,8,1,3] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[2,5,3,6,7,1,4,8] => [6,3,1,2,4,7,5,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[6,4,1,5,7,2,3,8] => [6,4,2,7,3,1,5,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,4,1,5,7,3,8,2] => [4,2,6,5,1,8,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,2,7,3,8,5,6,4] => [6,8,7,4,1,2,3,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[7,4,1,6,3,8,2,5] => [5,2,7,4,8,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,3,1,4,5,8,6] => [3,8,1,4,5,6,2,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,5,8,3,2,7,1,4] => [5,4,2,1,7,8,6,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,4,3,1,7,6,5,2] => [2,8,3,7,6,4,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,2,6,7,5,3,4,8] => [6,3,7,5,1,2,4,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[4,6,8,5,2,1,7,3] => [5,1,2,8,6,4,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,8,2,1,3,5,6] => [1,5,4,6,7,2,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,8,3,2,4,6,1] => [1,5,4,6,2,8,7,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,8,2,3,1,6,4] => [4,1,5,8,6,2,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,3,5,8,7,2,6,4] => [8,3,6,7,2,5,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,4,1,8,5,7,3,2] => [2,5,1,8,7,6,3,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,3,8,7,5,2,6] => [1,7,6,8,3,5,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,1,6,7,2,4,3] => [8,6,4,2,7,3,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,6,7,2,1,5,8,4] => [4,6,1,2,8,5,3,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[2,5,6,1,3,8,7,4] => [2,8,7,1,4,3,5,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[3,8,5,7,2,4,6,1] => [5,3,6,8,1,7,4,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,7,1,4,5,2,8,3] => [4,8,6,3,1,5,2,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,2,5,6,1,3,8,4] => [8,5,2,3,6,4,1,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[6,4,1,2,5,8,3,7] => [5,7,2,8,3,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,3,5,4,7,1,8,6] => [3,8,1,2,4,6,5,7] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,8,4,1,5,7,3,2] => [5,3,1,8,7,4,6,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,8,3,6,4,1,7,5] => [5,8,3,6,1,4,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,1,8,7,3,2,6,4] => [5,1,8,6,7,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,5,3,4,8,2,1,7] => [3,4,2,1,7,6,8,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,2,7,6,8,3,4,1] => [1,6,4,3,8,2,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,5,2,7,3,6,1] => [2,6,3,8,4,7,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,3,7,4,5,2,8,1] => [4,6,2,1,5,3,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,3,6,5,8,2,7,1] => [1,4,2,3,6,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,2,7,4,5,3,6,1] => [4,6,5,8,2,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,8,4,5,3,6,1] => [4,6,5,8,2,1,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,3,8,2,7,4,5,1] => [6,8,2,1,4,7,5,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,2,8,4,7,5,6,1] => [6,8,1,4,7,2,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,6,2,7,4,5,1] => [6,8,2,4,3,7,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,7,8,3,6,5,4,2] => [8,7,4,2,6,5,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,4,5,8,7,2,1,3] => [2,3,1,7,6,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,8,1,7,2,4,3,6] => [7,5,1,6,8,3,4,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,5,7,3,8,1,4,6] => [4,2,6,7,1,3,8,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,6,4,7,1,8,5,3] => [8,3,2,7,1,5,4,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,6,5,7,3,8,2,4] => [5,3,2,7,4,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,5,3,7,6,2,4] => [7,3,8,4,6,5,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,3,8,7,5,1] => [2,8,7,3,1,4,6,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,5,1,3,8,4,2,7] => [7,4,6,2,1,8,3,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,1,4,2,7,8,3,5] => [3,7,5,8,2,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,5,1,3,7,8,4,2] => [5,8,4,2,1,7,3,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[5,1,3,2,7,8,6,4] => [5,8,3,1,7,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,6,8,2,4,7,1,3] => [1,7,4,2,5,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,7,4,2,3,8,5,1] => [8,4,3,1,5,2,7,6] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,7,1,4,6,8,2,3] => [4,1,7,5,8,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,4,3,7,6,2,8,5] => [8,2,6,3,5,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,4,3,8,2,5,7,6] => [2,8,3,5,6,7,1,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,6,7,2,4,8,3,5] => [5,7,2,8,4,1,3,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,7,2,8,4,1,5,6] => [6,1,3,5,7,2,8,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,3,4,1,7,8,6,2] => [2,3,1,5,8,7,4,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,6,5,8,2,3,1] => [6,4,1,3,2,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[4,1,8,3,2,6,5,7] => [4,1,7,5,6,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,2,6,8,4,3,5,7] => [6,5,3,7,8,1,2,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[3,4,2,1,6,8,5,7] => [1,3,2,5,7,8,4,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,8,2,6,5,3,7,1] => [6,1,5,3,4,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,8,7,2,5,6,1,3] => [7,1,4,5,8,6,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,8,6,4,7,3,2,1] => [4,1,3,8,7,6,5,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[2,8,6,3,5,1,7,4] => [8,4,6,5,1,3,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,1,5,3,6,7,2] => [5,4,2,6,8,3,7,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[3,8,6,2,5,4,7,1] => [6,4,5,1,3,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,4,6,5,2,7,1] => [6,3,5,1,4,8,7,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,1,7,4,2,5,3,6] => [7,5,4,6,8,2,3,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,3,2,5,1,4,7,6] => [2,8,3,5,4,6,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,1,5,2,4,6,7,3] => [5,6,3,8,2,4,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,2,6,4,1,3,8,7] => [8,5,2,1,4,3,6,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[7,1,3,5,2,8,6,4] => [4,8,3,7,2,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,6,4,7,1,3,5,2] => [6,3,8,5,2,7,4,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,8,4,3,2,1,7,5] => [5,4,3,1,8,6,7,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,2,8,5,4,1,3,7] => [6,7,5,2,1,4,8,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[6,4,8,5,3,2,7,1] => [6,2,1,5,4,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,5,4,6,2,7,1,3] => [5,3,2,7,4,8,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,8,5,4,7,2,3,1] => [1,6,4,3,8,7,5,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[2,5,7,3,4,8,1,6] => [4,2,5,7,1,3,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,4,7,8,1,3,6] => [3,6,1,7,2,4,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,8,5,6,1,2,7,3] => [8,1,5,3,6,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,8,5,4,6,2,3] => [7,5,4,2,8,6,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,6,8,1,5,2,7,3] => [8,1,6,4,2,5,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,8,1,2,6,7,4] => [2,6,1,8,4,5,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,2,3,6,4,1,7,5] => [5,8,2,3,6,4,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,3,7,5,8,6,1,4] => [4,7,3,8,1,2,6,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,8,5,1,2,4,7,6] => [8,1,4,5,3,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,3,6,4,8,2,7,5] => [8,4,2,3,6,7,1,5] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,7,6,2,8,5,3,4] => [7,8,6,4,3,1,2,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[1,5,8,6,4,7,2,3] => [7,2,5,4,8,6,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,2,8,1,7,3,4] => [7,1,8,3,2,5,6,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,4,5,1,3,7,2] => [6,3,1,8,5,4,7,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,6,8,3,2,4,5,7] => [5,4,6,2,7,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,6,5,2,4,3,7,1] => [6,4,5,3,2,8,7,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[6,2,5,3,7,4,8,1] => [6,4,2,3,1,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,5,4,2,6,3,7,1] => [6,4,3,2,5,8,7,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[7,4,6,5,8,2,3,1] => [6,2,4,3,1,8,7,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,3,6,5,8,2,4,1] => [6,4,2,3,1,8,7,5] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,3,6,4,8,2,5,1] => [4,6,2,3,1,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,6,8,4,5,1,2] => [7,5,2,3,1,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,6,5,7,4,2,8,3] => [3,2,8,6,5,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,2,7,4,8,5,6,3] => [6,8,4,3,7,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,6,7,4,8,5,1,3] => [4,2,7,3,8,1,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,2,7,5,8,4,6,1] => [4,6,1,3,8,2,7,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,5,8,6,4,3,7,1] => [6,2,5,4,8,1,7,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,4,2,5,7,1,8,3] => [4,2,8,3,1,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,7,5,4,6,8,1,3] => [4,3,7,5,1,2,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,5,6,4,1,3,8,7] => [2,8,5,1,4,3,6,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,6,1,3,5,7,2,8] => [4,1,5,7,3,2,6,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,7,5,8,1,6,4] => [4,8,1,6,2,3,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,3,2,1,8,6,7] => [1,4,3,2,7,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,5,8,1,7,4,2] => [3,2,8,1,7,5,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,1,6,8,5,2,3,7] => [1,6,3,7,5,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,1,6,4,8,3,7] => [5,4,1,2,7,8,3,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,2,4,5,8,6,1,7] => [1,7,2,3,4,6,8,5] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[4,5,2,1,3,8,6,7] => [3,1,7,2,8,4,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,3,6,8,5,1,7] => [4,1,7,2,3,6,8,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[4,5,1,3,2,8,6,7] => [4,1,7,2,8,3,5,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,4,5,8,6,1,7,2] => [8,1,2,3,6,5,7,4] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,3,1,2,5,4,8,7] => [5,2,8,3,4,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,3,1,2,5,4,8,6] => [5,2,8,3,4,6,1,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,8,2,4,3,7,6] => [5,2,8,4,6,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,3,7,8,2,6,5,1] => [8,1,5,2,3,7,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,5,1,2,6,7,4] => [6,8,1,4,3,5,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,4,7,8,3,6,5,1] => [8,5,2,3,7,1,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,7,8,3,6,1,2] => [1,7,2,5,3,8,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,8,7,3,2,4,5,6] => [5,4,6,7,8,3,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,6,2,7,3,4,1,5] => [5,7,3,6,2,8,4,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,6,3,2,8,7,1,4] => [3,1,7,2,8,4,6,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,1,6,7,8,3,2,4] => [3,1,7,6,4,8,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,5,6,3,7,2,4,8] => [4,2,6,3,7,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,1,6,7,3,4,2,8] => [5,3,1,7,6,2,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,8,5,1,7,4,2,3] => [7,1,8,6,4,3,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,2,3,5,7,6,1] => [8,3,2,4,5,7,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,4,8,3,1,2,6,7] => [5,2,1,6,4,7,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,8,5,1,7,3,4,2] => [6,1,8,7,4,3,5,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,4,2,6,7,1,5,3] => [2,8,6,3,4,7,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,7,8,3,6,5,2,4] => [7,8,4,2,6,5,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,6,7,5,1,8,2,3] => [7,1,2,8,5,4,3,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,5,2,6,8,7,4,1] => [2,8,1,4,7,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,6,8,4,1,2,5] => [6,7,2,5,3,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,2,3,7,5,8,1] => [6,3,2,4,1,5,8,7] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,2,5,4,8,6,3,1] => [3,8,4,7,2,1,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,2,3,8,7,4,5,1] => [6,8,7,2,1,3,5,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,1,2,8,4,6,5,3] => [8,5,7,6,2,3,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,5,8,1,2,7,6,4] => [2,8,1,7,4,5,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,6,2,8,5,3,4,1] => [6,8,7,3,2,1,5,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[8,2,7,6,4,1,3,5] => [6,7,5,8,2,4,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,7,1,4,2,6,3] => [8,6,4,2,5,7,3,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,1,5,7,4,6,2,3] => [3,7,5,8,6,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,7,1,4,8,3,6,5] => [8,4,6,7,1,3,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,3,1,8,7,4,6,5] => [8,6,7,1,2,5,3,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,6,5,7,2,3,8,1] => [5,1,3,2,6,4,8,7] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,4,8,6,7,3,1] => [5,1,8,3,7,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,6,7,8,1,4,3] => [3,1,8,6,2,4,7,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,8,2,7,5,3,1,6] => [7,1,6,3,5,8,4,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,4,6,5,8,3,7] => [5,3,4,7,8,1,2,6] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[5,4,2,3,1,7,8,6] => [3,4,2,1,6,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,8,1,7,4,2,6] => [2,7,1,6,8,4,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,6,1,7,2,3,4] => [6,1,7,8,4,3,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,4,3,8,2,6,7] => [4,3,6,1,7,8,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[8,4,7,5,6,2,1,3] => [7,2,6,4,8,5,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[3,8,6,7,5,2,4,1] => [6,3,8,7,1,5,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,2,5,4,7,3,6,1] => [4,3,6,8,2,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,2,8,7,3,6,5,1] => [8,1,5,7,6,2,4,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,7,8,6,1,4,5,2] => [6,8,5,1,2,7,4,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,6,7,8,2,1,5,3] => [5,1,2,8,6,3,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,6,3,8,1,5,2] => [4,8,1,6,3,2,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,5,1,6,3,2,4] => [7,6,8,4,3,5,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[2,8,4,6,7,3,5,1] => [6,3,4,8,7,1,5,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,6,3,4,1,2,7,5] => [3,8,5,4,6,2,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[4,7,8,6,5,1,3,2] => [8,6,1,2,7,5,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,4,6,7,3,5,2,1] => [5,2,3,8,7,6,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,4,7,3,5,2,1] => [3,1,5,8,7,6,4,2] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[3,6,4,2,8,1,7,5] => [3,8,1,4,2,6,7,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,4,8,6,2,1,7,5] => [5,8,1,2,6,4,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,4,6,2,1,7,3,5] => [4,2,7,8,5,3,6,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,1,8,2,4,6,5,7] => [1,7,4,5,6,8,2,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[8,1,7,6,2,5,4,3] => [8,7,5,6,4,2,3,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,5,4,3,7,6,1,2] => [4,3,2,7,8,6,5,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[3,5,8,6,1,7,4,2] => [8,2,7,1,5,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,4,7,5,2,6,3] => [8,3,6,5,7,2,4,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,4,8,6,7,3,5,2] => [6,4,8,2,7,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,7,8,6,4,1,5,2] => [8,6,5,1,2,7,4,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[4,8,5,3,2,7,1,6] => [5,1,4,3,7,8,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,4,8,1,3,7,2,6] => [5,2,1,7,8,4,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,5,3,1,7,2,6] => [2,7,4,3,8,5,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,4,5,3,1,8,6,2] => [2,4,3,8,7,5,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,8,6,4,2,3,1] => [6,1,2,8,7,5,4,3] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,7,5,1,3,2,4] => [7,5,1,6,8,4,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[4,7,6,3,8,2,5,1] => [4,6,1,3,2,8,7,5] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,7,4,1,8,2,5,3] => [8,6,3,1,7,4,2,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,6,4,2,8,1,5,3] => [8,4,3,6,2,1,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,3,1,6,7,8,2,4] => [2,4,1,7,5,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,7,8,6,1,2,5] => [6,7,1,2,3,8,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,4,7,8,6,3,5] => [7,4,8,1,3,6,2,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,6,8,2,5,7,1] => [5,1,2,3,6,8,7,4] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[1,8,5,6,4,2,3,7] => [6,3,7,5,4,8,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,8,5,7,3,1,2] => [7,2,1,4,8,6,5,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[1,6,4,7,2,5,8,3] => [3,6,2,8,5,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,7,5,1,8,6,3,4] => [7,3,8,6,1,4,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,1,6,5,3,8,2] => [6,1,5,4,8,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,7,5,6,4,8,2,3] => [3,7,5,4,2,8,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,4,8,5,7,3,1,6] => [4,7,2,6,8,1,5,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,3,1,4,6,2,7,5] => [2,8,4,6,3,5,7,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,2,5,4,6,8,1,3] => [4,3,7,2,5,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,1,5,3,8,6,4] => [4,8,7,1,3,5,2,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,7,2,8,4,1,6] => [2,7,1,4,6,3,8,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,2,1,4,8,6,5] => [2,8,3,7,4,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,8,3,4,1,7,6,5] => [8,3,4,7,1,5,6,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,7,6,8,2,5,3,1] => [8,5,1,3,2,7,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,6,7,1,4,5,8,3] => [5,6,2,8,1,4,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,2,6,1,5,3,4] => [7,8,3,5,6,4,2,1] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,1,3,8,2,6,4,5] => [7,8,3,5,6,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,5,3,4,7,1,8] => [4,5,2,3,1,7,6,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,5,8,1,6,7,3,4] => [2,7,5,8,1,4,6,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,3,4,6,8,2,1,5] => [7,2,3,6,4,1,8,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,3,7,2,8,4,6] => [7,8,3,1,5,2,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,2,4,6,1,7,8,3] => [3,6,2,1,4,8,5,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,7,3,2,5,1,6,4] => [3,8,4,6,5,7,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[3,6,4,1,2,5,8,7] => [8,1,4,3,5,2,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,1,4,2,5,8,7] => [4,2,8,3,5,1,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,2,7,1,3,5,8,6] => [8,2,1,4,5,6,3,7] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[3,5,4,1,6,2,8,7] => [5,1,3,2,8,4,6,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[3,5,1,7,6,2,8,4] => [2,8,1,6,5,3,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,3,6,2,7,5,4,1] => [8,7,2,4,3,6,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,2,6,5,3,7,1] => [2,6,5,3,4,8,7,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[5,4,2,7,1,8,6,3] => [2,1,8,7,3,5,4,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,7,6,5,3,2,8] => [7,1,6,5,4,2,3,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,3,6,7,1,8,5,4] => [3,8,7,1,2,5,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,1,2,7,8,5,4] => [5,8,1,7,3,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,1,3,6,7,5,2,8] => [4,1,7,3,6,2,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,5,1,3,6,8,7,2] => [1,8,4,2,5,7,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,5,1,2,4,3,6,7] => [6,3,4,5,2,7,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,5,8,1,4,2,7,6] => [5,1,2,8,4,6,7,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,5,7,1,4,3,6] => [7,5,3,6,8,1,4,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,2,4,6,3,7,5] => [8,4,6,2,3,5,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[6,1,2,7,8,4,3,5] => [7,6,4,8,2,1,3,5] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,5,8,2,1,6,7,3] => [1,4,2,6,8,5,7,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,4,2,5,3,6,1,8] => [5,3,2,4,7,6,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,1,6,7,5,2,4,8] => [6,1,3,7,5,2,4,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[8,4,2,5,3,6,7,1] => [5,3,2,4,6,8,7,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[4,8,1,5,3,6,7,2] => [1,5,4,6,8,3,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,1,7,5,2,6,3,8] => [1,7,5,4,6,2,3,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,1,5,3,6,8,2,4] => [7,4,3,5,8,2,1,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,1,5,3,6,7,2,4] => [7,4,3,5,8,2,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,5,4,6,8,2,3] => [4,3,7,5,2,8,1,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,8,2,5,6,1,3] => [7,1,4,5,2,8,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,5,2,6,1,8,3,7] => [1,7,3,2,4,8,5,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,1,8,6,7,3,4,2] => [1,6,4,8,7,5,2,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,8,3,2,4,1,5,7] => [4,3,6,5,1,7,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,5,2,4,1,7,8,3] => [6,3,4,2,1,8,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,4,8,2,1,3,6,7] => [5,4,2,1,6,7,8,3] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,2,8,3,1,4,5,6] => [5,2,4,6,7,1,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,1,3,2,7,5,4,6] => [7,3,6,8,2,4,5,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,6,1,8,2,5,4,3] => [8,7,5,6,3,2,1,4] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,4,1,6,7,3,5,2] => [2,6,4,8,7,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,4,2,1,6,3,7] => [4,1,7,5,3,6,8,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,6,4,1,2,5,3,8] => [7,4,5,3,6,2,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,7,2,6,4,5,3,1] => [5,8,7,3,6,4,2,1] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[7,2,8,4,3,6,1,5] => [5,4,7,8,2,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,5,4,8,6,2,3] => [4,3,7,2,8,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,6,3,5,2,1,7] => [4,7,1,6,5,3,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,6,3,2,7,1,4] => [1,5,4,7,3,8,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,7,6,3,2,4,8,1] => [1,5,4,6,3,2,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,7,3,2,8,6,4,1] => [1,8,3,7,4,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,5,1,6,8,2,7,3] => [1,4,2,8,6,7,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,3,7,2,4,8,5] => [8,3,5,2,6,1,4,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[6,3,1,5,7,2,4,8] => [2,6,4,7,3,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,2,1,4,8,6,7,3] => [6,8,2,1,4,7,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,2,1,3,7,6,8] => [3,1,7,4,2,5,6,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[8,2,7,4,1,6,5,3] => [4,8,7,2,5,6,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,7,6,4,1,5,8,2] => [6,4,8,1,5,3,2,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,6,5,4,2,8,3] => [8,6,5,4,2,3,1,7] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[7,1,8,4,2,3,6,5] => [8,5,4,6,7,2,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,6,8,1,7,3,5,2] => [6,1,2,8,7,4,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[3,6,8,1,5,7,4,2] => [5,2,8,1,7,4,6,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,5,1,3,2,6,7,8] => [5,3,1,4,2,6,7,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[4,7,3,2,1,6,5,8] => [1,4,3,7,5,6,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,8,3,5,1,6,2] => [4,8,1,6,5,2,7,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[4,7,1,3,5,6,2,8] => [4,1,5,7,3,6,2,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,8,3,2,1,6,7,5] => [1,4,3,6,8,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,2,8,1,4,6,7,3] => [5,6,1,8,2,4,7,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,6,3,7,8,1,4,2] => [1,8,3,2,6,4,7,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,1,4,3,6,2,8] => [5,4,1,7,3,6,2,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,2,3,7,1,5,4,8] => [7,2,3,5,1,6,4,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,2,8,1,5,4,7,3] => [6,5,8,2,1,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,5,1,3,6,4,8] => [7,2,4,5,3,6,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,2,7,8,4,3,1] => [4,2,1,8,7,3,6,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[2,3,6,5,8,4,7,1] => [4,3,6,8,1,2,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,3,6,7,5,2,4,8] => [6,3,7,2,5,1,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,5,2,6,8,7,3,4] => [4,2,7,8,6,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,3,4,7,2,1,6,8] => [2,3,1,6,5,7,4,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,3,7,6,1,8,5] => [1,8,6,2,3,5,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,4,3,2,6,1,7] => [1,5,4,3,7,6,8,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,5,7,3,8,2,4] => [5,3,7,4,1,8,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,2,7,8,6,4,3,5] => [7,6,3,8,5,1,2,4] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[5,2,4,1,7,6,8,3] => [3,6,2,1,5,8,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,3,8,1,7,2,6] => [3,2,1,7,8,5,6,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,2,3,1,6,8,4,5] => [7,2,3,5,8,4,1,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,8,2,5,6,3,7] => [5,1,7,4,6,8,2,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,7,8,1,6,2,3,4] => [6,1,7,8,4,2,5,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,6,4,2,7,3,8,5] => [3,8,6,4,1,2,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,4,2,5,8,6,3,7] => [2,7,4,6,8,1,3,5] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,8,2,1,5,7,3,6] => [3,1,5,7,8,4,6,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,8,1,2,4,6,3,7] => [5,7,3,1,4,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[5,1,7,3,6,4,2,8] => [7,4,1,6,5,2,3,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,2,7,5,6,1,4,8] => [6,1,4,7,2,5,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,3,1,7,5,4,2,8] => [7,2,6,5,3,1,4,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,2,8,7,3,4,5,1] => [5,6,1,8,7,2,4,3] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,4,8,5,6,2,1] => [5,8,2,3,1,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,6,8,4,5,2,1] => [5,3,8,2,1,7,6,4] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,6,2,8,3,1,7,4] => [5,1,8,3,2,6,7,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,1,4,8,6,2,7] => [2,7,4,1,6,8,3,5] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,2,4,8,3,1,6,7] => [3,6,2,1,5,7,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,7,3,5,4,1,6,2] => [8,3,6,5,4,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,5,1,8,6,2,3] => [2,7,3,8,6,4,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,1,5,7,6,3,2,4] => [3,7,6,8,5,2,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,6,7,5,3,2,4] => [7,6,3,8,5,4,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,1,5,3,7,6,2,4] => [7,3,8,4,6,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,1,8,3,7,4,2] => [8,5,2,1,7,6,3,4] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[7,1,4,3,8,6,5,2] => [8,3,7,4,6,2,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,5,4,1,7,3,2,6] => [7,6,3,2,8,4,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,8,4,7,1,2,5,3] => [8,5,3,1,6,7,4,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[1,3,7,6,8,4,5,2] => [6,4,3,8,2,7,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,5,7,2,8,3,4] => [7,3,8,5,2,1,4,6] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,8,7,2,5,6,3,4] => [7,5,8,4,6,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,8,2,6,7,4,3,5] => [7,6,4,8,3,5,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,7,6,3,5,4,2] => [8,5,7,6,4,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,8,5,7,6,4,3,2] => [8,3,7,6,5,4,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[7,2,4,1,8,5,3,6] => [3,7,2,6,8,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,5,3,2,1,6,8,4] => [4,3,6,2,8,5,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,1,3,4,2,5,7] => [4,6,3,5,1,7,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,6,1,4,7,8,2,5] => [7,1,4,5,2,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,5,7,1,3,6,4,8] => [7,4,1,2,5,6,3,8] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[1,4,7,2,5,3,6,8] => [2,6,4,5,7,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[4,5,3,1,2,6,8,7] => [1,8,4,3,2,5,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,5,1,3,8,2,6,7] => [4,1,6,2,7,8,3,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,1,5,3,2,7,6,8] => [4,3,1,7,2,5,6,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[6,2,1,7,4,3,8,5] => [5,8,2,6,3,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,4,3,6,7,1,5,8] => [2,6,1,3,4,7,5,8] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[4,6,5,2,1,3,7,8] => [1,5,4,6,3,2,7,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,1,4,3,7,8] => [6,4,1,2,5,3,7,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[6,1,5,3,7,2,4,8] => [4,6,3,7,2,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,6,5,4,1,7,2,8] => [7,5,1,4,3,2,6,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,8,7,5,4,2,1,3] => [1,7,6,8,5,4,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[1,6,8,7,3,2,4,5] => [6,5,2,7,8,4,1,3] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,7,5,4,6,1,3,2] => [8,6,4,3,7,5,2,1] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[7,5,4,8,1,3,6,2] => [6,3,2,8,5,1,7,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[5,6,1,8,4,3,7,2] => [1,6,5,2,8,7,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,7,5,1,6,8,3,4] => [7,5,3,8,1,4,2,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,4,2,7,3,6,1] => [6,3,2,8,4,7,5,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,8,5,3,2,7,4,6] => [4,7,3,8,5,6,1,2] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,8,4,7,2,3,5,6] => [5,3,6,7,8,4,1,2] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[7,1,5,6,2,3,4,8] => [5,6,3,7,2,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,8,2,7,3,4,5] => [6,7,2,8,4,5,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,8,7,3,4,2,5] => [5,2,7,6,8,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,1,3,6,7,8,5,2] => [4,1,5,8,3,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,4,1,5,6,8,3,2] => [4,2,5,8,7,3,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[4,1,2,6,7,8,5,3] => [4,1,5,8,7,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,7,8,2,1,4,5,6] => [5,1,4,6,7,2,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,7,8,1,5,2,6,4] => [8,6,1,4,5,2,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,5,4,7,8,3,6,2] => [2,6,3,4,8,7,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,2,4,7,8,3,6,1] => [6,3,1,4,8,2,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,1,4,7,8,3,6,2] => [6,3,1,4,8,7,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,1,5,6,2,3,7] => [1,6,4,7,3,5,8,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,6,4,1,7,3,8,2] => [1,6,5,3,2,8,4,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,7,8,5,4,2,1,6] => [7,6,5,1,4,2,8,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,4,7,8,3,1,6,5] => [5,8,2,6,1,3,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,4,3,6,8,1,7,2] => [3,2,1,4,8,6,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,4,3,5,6,8,2,7] => [3,2,4,5,7,8,1,6] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[1,4,6,5,8,2,7,3] => [4,2,3,8,6,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,7,3,6,4,2,8,5] => [5,8,3,6,4,1,2,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,4,2,3,5,8,7] => [8,4,3,5,1,2,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[1,6,8,4,7,5,3,2] => [2,8,4,7,6,5,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[8,7,3,1,5,2,6,4] => [3,8,6,4,5,7,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[4,6,5,8,2,3,7,1] => [5,1,3,2,6,8,7,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,1,8,2,4,5,3,6] => [5,7,4,6,8,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,7,8,2,3,4,1,6] => [4,1,5,7,6,2,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,2,3,8,7,1,4,6] => [6,7,1,8,2,3,5,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,6,4,8,3,1,5] => [4,7,6,3,1,2,8,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,6,3,7,5,8,4,1] => [5,4,2,8,1,3,7,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,5,1,2,3,8,4,6] => [7,8,3,4,2,5,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,2,3,6,8,5,7,1] => [4,1,6,8,2,3,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[7,3,8,2,5,1,6,4] => [8,2,4,6,5,1,7,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,3,8,6,1,2,7] => [1,3,2,6,7,5,8,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,3,5,8,4,1,2,7] => [6,2,3,1,7,5,8,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,3,8,4,5,1,2,6] => [6,2,4,7,5,1,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,8,7,5,1,2,6,3] => [8,1,5,6,4,7,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[4,8,7,5,1,3,6,2] => [6,8,1,5,4,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,5,3,6,8,1,2,7] => [1,3,2,6,4,7,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,8,6,2,1,4,3,5] => [4,7,5,6,1,8,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,8,6,3,1,2,5,4] => [8,5,4,6,1,7,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,7,6,4,1,5,2,8] => [7,5,1,4,6,3,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,3,1,2,8,6,5,4] => [8,2,7,6,3,4,1,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,7,1,3,2,4,5,6] => [5,3,4,6,7,8,2,1] => [1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 14
[4,1,3,6,5,7,2,8] => [5,3,1,4,7,2,6,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,1,3,5,7,2,8,6] => [8,3,1,4,6,2,5,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,1,8,2,4,6,3,7] => [5,7,4,1,6,8,2,3] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,1,5,8,6,7,2,4] => [7,1,3,5,8,6,2,4] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,5,4,8,7,3,2,6] => [2,7,3,6,8,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,1,2,6,5,7,8] => [6,3,2,1,4,5,7,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[7,5,8,1,2,4,6,3] => [6,8,4,2,5,1,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,1,5,2,8,7,4,3] => [3,8,7,6,2,1,4,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,4,6,3,1,2,7,5] => [2,8,5,4,6,3,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,8,6,4,1,5,7,2] => [6,4,8,1,5,3,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,7,1,4,5,2,3,6] => [6,4,7,3,5,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,8,6,4,5,1,7,2] => [4,8,6,1,5,3,7,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,4,5,1,2,8] => [6,4,7,1,5,3,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,6,3,1,2,8,5] => [2,8,5,4,6,3,1,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,4,7,2,6,5,8,3] => [6,2,5,8,4,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,5,7,2,6,4,8,3] => [2,6,5,8,4,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,2,7,8,3,5,4,6] => [7,5,6,3,8,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,6,2,8,5,4,3] => [8,7,6,4,3,1,2,5] => [1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 15
[1,2,7,8,3,4,6,5] => [8,5,6,3,7,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,6,8,3,4,2,5] => [5,7,6,3,2,8,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[2,4,8,6,5,7,1,3] => [7,5,2,4,8,1,6,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,1,5,6,4,7,3] => [4,6,2,5,8,3,7,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,2,7,5,8,6,4,1] => [8,4,1,3,7,2,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,4,7,3,1,2,6,5] => [2,8,5,4,6,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,8,7,3,5,2,6,4] => [8,4,6,5,7,3,1,2] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,4,8,3,6,5,7,1] => [6,2,4,5,8,1,7,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,1,8,2,6,5,7,4] => [6,1,5,8,4,7,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,6,7,8,5,2,1,3] => [2,7,1,6,3,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,7,2,1,8,6,5,3] => [8,1,7,3,6,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,2,8,4,1,7,3] => [1,8,6,3,2,5,7,4] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[5,7,2,4,8,6,1,3] => [4,1,7,8,3,2,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,2,4,8,5,1,3] => [4,7,1,8,3,2,6,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,3,5,6,1,4] => [7,4,5,8,2,1,6,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,7,3,4,8,5,2,6] => [7,3,4,6,2,8,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,2,8,4,5,3,1,6] => [4,7,6,2,5,1,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,6,4,3,1,7,5] => [5,4,8,6,1,3,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,5,8,3,4,6,2,7] => [4,2,5,7,6,8,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,3,8,4,2,5,7,6] => [4,8,2,5,6,7,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,4,7,6,2,3,8,5] => [8,2,5,6,4,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[5,7,1,6,4,8,3,2] => [1,5,4,8,7,3,2,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,4,5,8,1,3,6,2] => [2,6,3,8,5,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,4,3,6,2,5,8,7] => [2,8,3,5,1,4,6,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[6,8,4,1,5,7,2,3] => [7,5,3,1,8,4,6,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[5,2,6,7,4,1,8,3] => [3,1,8,6,2,5,4,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,2,6,3,1,7,4] => [5,1,8,3,6,4,7,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,6,8,1,4,3,7] => [7,5,2,1,3,6,8,4] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[6,7,3,8,2,1,4,5] => [3,6,5,1,7,2,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,7,3,5,4,1,8,6] => [5,3,4,8,1,6,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,3,7,4,1,8,5] => [5,8,3,1,2,6,4,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,1,4,8,5,3,7,6] => [5,8,1,3,6,7,2,4] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[2,7,3,8,4,1,6,5] => [5,8,3,6,1,2,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,5,8,3,4,7,2,6] => [4,2,5,7,8,6,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,5,8,1,3,6,2,7] => [1,5,2,7,4,6,8,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,6,5,2,8,3,1] => [8,2,5,4,3,1,7,6] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[4,1,3,8,5,7,6,2] => [1,8,5,7,3,6,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,2,6,3,1,8,5,4] => [8,4,7,2,5,3,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,8,7,2,5,3,1,6] => [7,1,4,6,5,8,3,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,6,3,2,8,7,4,5] => [7,8,3,2,6,1,4,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[2,8,1,7,5,4,6,3] => [6,5,8,7,1,3,4,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,3,1,5,7,2,4] => [3,7,5,1,8,4,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,7,3,1,2,5,6,4] => [6,3,8,4,5,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,4,5,1,2,6,8,3] => [6,2,8,4,3,5,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,7,6,1,5,8,2,3] => [7,1,5,8,4,3,2,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,5,1,7,4,6,3,2] => [5,2,8,7,6,3,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[3,4,8,1,6,7,2,5] => [7,1,2,5,8,4,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[3,6,7,8,4,1,5,2] => [2,8,6,1,5,3,7,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,3,7,8,4,6,1,5] => [5,7,3,8,1,2,6,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,3,7,8,4,6,2,5] => [5,7,3,8,2,6,1,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,1,7,8,4,6,2,5] => [5,7,1,3,8,6,2,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,3,8,1,6,7,2,5] => [1,7,2,5,8,4,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,8,7,3,6,1,2,5] => [6,1,4,7,8,5,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[5,8,4,3,7,1,2,6] => [1,6,4,3,7,8,5,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,4,8,3,6,7,1,5] => [7,2,4,5,8,1,6,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[1,6,5,8,7,3,2,4] => [3,2,7,6,8,5,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,6,4,8,7,2,1,3] => [1,3,2,7,6,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,2,6,8,3,5,1,4] => [5,7,3,8,2,1,6,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,2,8,6,5,3,1,4] => [7,6,8,5,2,1,4,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[2,8,4,7,1,3,6,5] => [3,8,5,6,7,1,4,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,3,4,5,2,1,7] => [3,4,1,7,6,5,8,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,6,8,1,5,4,7,2] => [6,5,1,2,8,4,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,3,6,5,7,2,4,8] => [6,4,2,3,7,1,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,6,8,5,4,3,7,2] => [2,6,5,4,8,7,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,5,7,8,4,3,1,6] => [7,2,6,5,1,3,8,4] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,8,5,3,2,4,1,7] => [5,4,1,7,6,3,8,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[1,6,8,5,3,2,7,4] => [5,2,8,6,4,7,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,6,1,8,7,5,3,2] => [2,8,1,7,6,5,3,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,3,7,6,8,5,2,4] => [7,4,3,8,2,6,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[4,1,7,8,6,5,2,3] => [7,1,3,8,6,5,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[5,4,3,7,6,1,2,8] => [3,2,1,6,7,5,4,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,7,6,1,2,3,8,5] => [1,8,4,5,6,3,2,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,5,2,6,7,8,1,3] => [1,4,2,7,3,5,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,5,1,3,7,6,2,8] => [1,7,4,2,6,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,5,4,3,8,6,2,7] => [3,2,7,4,6,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,3,7,5,8,4,6,2] => [4,6,3,8,2,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,8,1,5,3,4,6,2] => [5,6,4,8,3,1,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,5,4,1,6,2,8] => [7,2,5,4,3,6,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,7,5,6,1,4,2,8] => [7,5,1,3,6,4,2,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,5,6,3,4,8,2] => [5,3,6,4,2,8,1,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,3,1,2,7,8,4,6] => [2,7,5,1,8,3,4,6] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,3,7,8,2,6,4] => [8,6,3,1,4,7,2,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,8,1,2,7,6,4,3] => [1,8,7,6,3,4,5,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,6,7,4,5,3,2,8] => [4,2,7,6,5,1,3,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[1,8,2,4,6,5,3,7] => [7,4,6,3,5,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,2,1,6,4,3,8,5] => [5,8,2,6,3,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,8,7,2,3,6,5] => [8,2,5,6,7,4,1,3] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,1,3,6,5,8,2,7] => [5,3,1,4,7,8,2,6] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[4,3,7,1,5,8,2,6] => [2,1,5,7,8,4,3,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,8,6,5,2,7,4,3] => [8,7,5,4,3,6,1,2] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,8,6,2,7,4,3,5] => [7,6,8,4,3,5,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,6,4,1,8,5,3] => [4,8,7,2,5,3,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,1,8,3,7,5,2] => [2,8,5,1,7,6,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,5,8,7,3,6,2,1] => [5,8,1,2,7,6,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[3,5,4,1,7,8,6,2] => [3,1,2,5,8,7,4,6] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[8,1,6,3,7,5,4,2] => [8,7,4,3,6,2,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,5,1,3,7,6,4,2] => [8,7,4,2,6,3,5,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[8,3,6,5,4,2,1,7] => [7,6,2,5,4,3,8,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,1,3,5,7,2,8,4] => [4,8,3,6,2,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,8,1,5,6,4,3,7] => [4,7,6,1,3,5,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,6,7,5,8,4,2,3] => [2,7,4,3,8,6,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,4,1,6,5,2,8,3] => [2,8,6,5,3,4,1,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,8,4,7,3,2,5,1] => [3,1,6,5,8,7,4,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,8,7,2,6,4,3,1] => [8,1,7,4,6,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,8,7,3,5,1,4,2] => [4,1,8,6,7,5,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[7,2,5,6,8,3,4,1] => [3,6,4,8,2,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,6,7,2,3,5,4,1] => [8,4,5,2,7,6,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[5,4,8,6,7,3,1,2] => [1,7,2,4,8,6,5,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,2,7,3,1,6,8,5] => [4,1,6,8,2,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,6,4,2,1,8,5] => [5,2,4,8,6,3,1,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,4,3,1,8,5,2,7] => [3,2,7,6,1,8,4,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,3,1,5,8,6,2] => [3,2,8,5,7,4,1,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,4,8,6,5,3,1,2] => [7,8,2,1,6,5,4,3] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[4,8,5,2,6,7,3,1] => [5,1,3,8,4,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[1,5,7,2,4,3,8,6] => [5,2,8,4,6,1,3,7] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,7,5,8,4,3,6] => [4,7,6,3,8,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,1,3,8,2,7,4,6] => [7,8,3,1,5,6,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,7,1,3,2,8,4,6] => [4,7,1,8,3,5,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,1,7,2,3,6,5,4] => [8,7,4,5,6,2,3,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[7,1,2,6,4,3,8,5] => [5,8,6,2,3,4,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,7,1,3,2,4,6,5] => [4,8,3,5,6,7,2,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[6,8,4,3,5,1,2,7] => [6,4,3,1,7,5,8,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,8,5,7,2,1,4] => [7,6,2,1,4,8,5,3] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[5,2,7,4,6,1,3,8] => [6,4,1,7,2,5,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,3,4,1,8,2,5] => [3,7,4,8,5,2,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[6,4,5,3,1,7,2,8] => [2,7,5,4,3,1,6,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,7,2,4,3,1,5,6] => [6,3,5,4,7,8,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,8,1,3,5,6,4,7] => [5,7,1,3,4,6,8,2] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[2,6,3,4,7,8,5,1] => [5,8,3,1,2,4,7,6] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[7,2,1,3,6,8,5,4] => [5,8,2,7,3,4,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,6,4,7,8,5,3,2] => [4,2,8,3,7,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,5,8,6,1,3,4] => [6,3,7,8,2,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,1,3,6,2,5,8,7] => [8,3,1,5,2,4,6,7] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[7,1,4,6,3,2,5,8] => [3,6,5,7,2,4,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,2,3,8,4,1,5] => [7,3,4,1,6,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,8,1,5,4,3,6] => [7,6,4,5,1,2,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,5,2,6,8,7,4,3] => [2,8,4,7,6,1,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,8,3,7,5,2,6,4] => [8,6,3,5,7,4,1,2] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[7,1,3,8,5,2,6,4] => [8,6,3,5,7,2,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,7,1,5,2,6,8,3] => [1,6,4,8,3,5,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,1,5,2,6,8,3] => [6,4,2,8,3,5,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[3,1,6,7,5,2,8,4] => [3,8,1,6,5,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[8,6,2,4,5,1,7,3] => [4,8,3,6,5,2,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,4,5,2,6,8,3] => [3,6,4,8,2,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,6,2,3,8,7,5] => [1,8,7,4,2,3,5,6] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[4,1,7,6,5,2,8,3] => [8,1,6,5,4,2,3,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[8,4,1,5,6,2,7,3] => [4,2,8,6,3,5,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,4,5,3,6,1,7,2] => [2,4,3,8,6,5,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,5,4,8,3,2,6,7] => [3,2,6,5,7,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,6,3,1,7,8,4,5] => [7,3,5,1,2,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,1,7,8,3,5,4,6] => [7,5,6,1,3,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,5,8,6,7,4,2,3] => [7,2,4,8,6,5,1,3] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[8,7,1,3,5,2,6,4] => [8,4,6,3,5,7,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[3,7,8,2,5,4,1,6] => [7,4,6,1,5,2,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,6,5,8,1,3,2] => [8,6,1,4,3,2,7,5] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[4,7,8,6,2,1,5,3] => [5,8,1,6,2,7,4,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,8,6,3,2,1,7,5] => [5,1,4,8,6,3,7,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,1,4,7,6,8,3,2] => [5,3,1,4,8,7,2,6] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[5,6,4,7,1,8,3,2] => [1,3,2,8,7,5,4,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,3,7,4,6,1,8,2] => [4,1,8,2,6,5,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,6,7,1,5,4,8,2] => [6,5,1,2,8,4,3,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[3,6,4,7,5,8,2,1] => [5,3,1,2,4,8,7,6] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,7,3,2,4,5,6] => [5,4,6,7,8,2,3,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[6,4,7,1,5,2,8,3] => [2,8,6,4,1,5,3,7] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[4,8,1,3,5,2,7,6] => [4,1,5,8,3,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,6,5,2,8,7,4,3] => [3,2,8,7,6,1,4,5] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[4,1,7,2,5,8,3,6] => [5,1,7,8,4,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,5,8,6,1,7,4] => [8,1,3,6,2,5,7,4] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[2,8,5,3,6,7,4,1] => [5,3,8,4,7,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,3,5,2,6,7,4,1] => [5,2,3,8,4,7,6,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[2,8,6,3,4,7,5,1] => [8,4,5,3,7,1,6,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,1,8,5,3,6,2] => [6,1,5,8,7,3,2,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,4,7,2,5,3,1,8] => [2,7,4,1,6,5,3,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,4,3,6,8,2,5] => [3,7,4,5,8,2,1,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,3,8,5,4,2,6] => [7,6,3,5,8,2,1,4] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,8,7,3,5,1,6,2] => [4,8,1,6,5,7,3,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,3,8,7,1,6,2,4] => [7,1,8,2,5,6,4,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,6,2,1,5,7,3] => [4,2,6,8,5,3,7,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,5,2,1,6,4,7,3] => [6,3,5,2,8,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,7,2,8,5,4,6,3] => [6,5,8,7,3,1,2,4] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[6,7,1,4,8,5,3,2] => [8,4,1,7,6,3,2,5] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,1,7,3,2,8,5,6] => [4,1,7,8,5,2,3,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[4,3,7,8,6,1,5,2] => [8,1,6,2,3,7,5,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[1,2,6,3,7,8,5,4] => [5,3,8,7,1,2,4,6] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,1,3,7,8,5,4,2] => [4,8,7,3,1,6,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,6,8,5,4,2,1,7] => [2,7,6,1,5,4,8,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,6,4,7,5,3,1,8] => [7,3,2,6,1,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,3,7,2,8,4,1] => [1,8,3,2,5,4,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,6,1,8,7,2,3,4] => [6,1,7,2,8,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,8,6,1,5,2,4,7] => [6,7,1,4,5,3,8,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,8,7,3,2,1,4,6] => [1,6,5,4,7,8,3,2] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[3,4,7,6,8,2,1,5] => [7,6,1,2,4,3,8,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,1,3,7,5,6,4] => [6,8,7,1,3,4,5,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,8,7,2,5,6,4,3] => [5,8,7,4,6,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,2,7,1,5,8,3,6] => [5,1,7,8,2,4,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,6,2,5,8,3,7] => [5,1,7,3,8,2,4,6] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,8,2,5,7,3,4,6] => [6,4,7,8,3,5,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,6,3,8,5,2,7] => [7,2,4,3,6,8,1,5] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,4,8,3,7,6,2,5] => [7,8,2,4,6,5,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,5,3,7,2,6,8] => [2,4,3,6,7,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,5,7,6,8,3,4,1] => [6,2,4,3,8,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,1,6,7,2,8,5,4] => [3,8,1,7,5,2,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,5,3,6,8,4,7,2] => [4,2,6,8,3,7,1,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,5,1,3,8,4,7,2] => [6,8,4,2,1,7,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[7,3,1,6,8,4,5,2] => [6,2,4,8,7,3,1,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[7,2,4,3,1,5,6,8] => [5,2,4,3,6,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,3,5,4,8,7,1,2] => [4,2,3,1,7,8,6,5] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[2,6,4,3,1,7,5,8] => [4,3,7,1,5,2,6,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,8,1,7,5,6,3,2] => [5,8,1,7,6,3,4,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,7,2,3,6,4,1] => [1,8,4,5,7,6,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[4,6,5,1,2,3,7,8] => [4,1,5,6,3,2,7,8] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,8,7,4,5,6,2,3] => [4,7,5,8,6,3,1,2] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,7,3,6,4,2,5] => [7,4,6,8,5,3,1,2] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,4,7,5,8,2,6,3] => [4,8,2,6,3,7,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,4,7,2,3,6,5,8] => [2,7,4,5,6,1,3,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,7,2,5,6,3,4,8] => [6,4,7,3,5,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,2,6,5,8,3,4,7] => [6,4,3,7,8,1,2,5] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[1,5,8,2,6,3,4,7] => [6,2,7,4,5,8,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,3,2,7,5,1,4] => [3,7,1,8,4,6,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,3,6,8,1,2,5,4] => [8,2,5,6,3,1,7,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,1,5,7,2,6,3,8] => [3,1,7,5,6,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,7,2,1,3,6,4,8] => [3,7,4,1,5,6,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,5,6,7,2,4,1,8] => [2,5,1,3,7,6,4,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,5,6,4,8,3,2,7] => [2,4,3,7,6,8,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,1,5,6,4,8,3,7] => [3,5,1,4,7,8,2,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[5,1,4,7,8,6,2,3] => [7,3,1,4,8,6,2,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,6,7,2,8,5,4,3] => [2,8,7,6,4,1,3,5] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[5,3,2,1,7,8,6,4] => [2,5,1,8,3,7,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,3,8,6,1,5,2] => [2,8,3,6,1,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,7,1,5,8,6,2] => [1,8,2,5,7,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,3,2,7,5,8,6] => [2,8,3,6,1,4,5,7] => [2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
[4,5,8,2,1,7,3,6] => [1,4,2,7,8,5,6,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,8,4,1,7,3,2,5] => [7,6,3,1,8,4,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,3,1,8,2,7,5,4] => [8,2,7,5,1,6,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,1,7,8,3,2,5,6] => [1,6,5,7,3,8,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,7,1,3,6,2,8] => [5,2,1,7,4,6,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,6,2,8,4,5,3,1] => [5,8,7,3,2,1,6,4] => [2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 21
[5,8,2,1,3,6,4,7] => [3,7,4,1,5,6,8,2] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[1,8,3,5,2,6,4,7] => [7,3,5,4,6,8,1,2] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,4,6,1,8,5,7,2] => [6,1,2,3,8,7,4,5] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,3,8,7,4,5,1,6] => [5,7,6,8,1,2,4,3] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,7,8,6,2,3,5,1] => [5,6,1,2,8,7,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[7,1,2,4,8,6,5,3] => [8,7,4,6,2,3,1,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,8,3,6,5,7,1,4] => [7,5,3,4,8,1,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,1,2,3,7,8,6] => [6,8,3,2,1,4,5,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,6,7,2,5,8,3,4] => [7,5,2,8,4,1,3,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[7,8,5,6,2,4,3,1] => [8,5,3,1,7,6,4,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[5,3,8,6,2,4,1,7] => [5,1,7,2,6,4,8,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,4,7,8,6,2,1,3] => [1,7,2,6,3,8,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,7,4,8,3,1,5,6] => [3,6,5,7,1,2,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,5,8,2,3,4,7,1] => [4,5,2,1,6,8,7,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,8,2,3,6,4,5,1] => [6,8,3,4,1,7,5,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,1,2,7,5,3,4,6] => [6,7,5,8,2,3,4,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,2,8,1,3,7,5,6] => [7,1,8,2,4,5,6,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,2,4,1,3,7,5,6] => [7,2,3,8,4,5,6,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,6,2,3,7,4,5] => [7,8,4,5,2,3,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,1,8,2,3,6,4,5] => [7,8,4,5,6,2,1,3] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,7,2,5,3,8,1,6] => [1,5,3,4,7,2,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,7,4,2,8,1,6] => [2,5,1,4,7,3,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,4,7,6,3,8,1,5] => [5,7,2,4,1,3,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,6,5,7,1,3,8,2] => [6,1,3,2,8,5,4,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,4,7,6,1,8,2,5] => [7,8,1,2,5,4,3,6] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,8,5,3,2,4,6] => [6,5,7,4,8,2,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,1,3,2,7,5,4] => [8,4,7,3,5,2,6,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[8,1,7,5,2,4,6,3] => [6,8,5,4,7,2,3,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,6,1,2,7,3,5,4] => [8,6,7,3,4,2,5,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[5,2,6,7,4,8,3,1] => [3,1,5,4,8,2,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,1,7,3,2,4] => [7,6,2,1,8,4,5,3] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[6,4,8,1,5,2,3,7] => [6,2,7,4,1,5,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[7,2,4,1,6,3,5,8] => [6,2,3,7,4,5,1,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[2,6,1,5,3,4,8,7] => [8,5,1,3,4,2,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[5,7,8,2,3,6,4,1] => [1,8,4,5,2,7,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,8,7,3,1,4,5,6] => [5,4,6,7,8,1,3,2] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[5,6,1,2,4,7,8,3] => [5,6,1,8,3,2,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,8,6,7,5,4,2,1] => [3,8,7,6,1,5,4,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[7,8,5,1,4,6,2,3] => [7,5,8,4,3,1,6,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,2,7,5,4,6,1,3] => [7,5,4,8,2,6,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[6,4,7,5,3,2,8,1] => [6,2,1,5,4,3,8,7] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[8,4,6,3,1,5,7,2] => [2,6,4,8,5,3,7,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,3,1,4,5,6,8,2] => [4,2,5,6,8,3,1,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,7,3,4,2,1,8,5] => [3,5,4,1,8,6,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,8,3,1,5,7,2] => [2,6,4,1,8,5,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,1,6,5,2,4,8,7] => [8,1,5,4,2,3,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[2,5,3,8,6,4,1,7] => [2,7,6,1,3,5,8,4] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[6,7,1,5,4,3,2,8] => [7,6,5,3,1,4,2,8] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[5,8,4,1,3,2,7,6] => [5,1,8,4,3,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,3,4,7,6,1,8,2] => [8,2,1,3,6,5,4,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[4,5,1,6,8,7,2,3] => [1,4,2,7,8,6,3,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,4,7,2,5,8,6,1] => [8,1,2,4,5,3,7,6] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[2,5,1,8,6,4,7,3] => [2,6,5,8,1,7,3,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,4,5,1,6,7,2,3] => [2,7,5,3,8,4,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,7,3,1,5,2,6] => [2,7,5,4,6,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[2,5,1,8,3,6,4,7] => [7,5,1,2,6,8,3,4] => [1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 9
[5,6,8,4,2,7,1,3] => [1,5,2,7,4,8,6,3] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,3,8,6,1,2,5,7] => [2,1,5,6,7,4,8,3] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[4,8,6,5,7,1,3,2] => [8,6,1,4,3,7,5,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,7,5,6,4,1,3,2] => [8,6,3,7,5,4,2,1] => [1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 25
[8,7,4,2,3,6,5,1] => [8,4,3,5,7,6,2,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,4,2,3,7,6,5,1] => [2,8,7,3,4,6,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,2,4,5,3,1,6,8] => [3,6,2,5,4,7,1,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,4,1,7,8,6,2,3] => [2,1,7,4,8,6,3,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,4,7,8,1,6,2] => [8,2,1,3,6,4,7,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,3,7,6,5,1,8,2] => [8,1,6,2,5,4,3,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,4,8,2,3,7,6] => [3,8,5,1,6,7,2,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,2,8,5,4,1,6,7] => [6,1,5,2,4,7,8,3] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[1,2,8,3,4,6,5,7] => [7,4,5,6,8,1,2,3] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[5,7,1,2,6,3,4,8] => [6,7,3,1,4,5,2,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[1,2,7,5,6,3,4,8] => [6,4,7,5,1,2,3,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,1,4,7,2,3,6,8] => [5,3,6,1,7,2,4,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[4,8,1,2,3,6,5,7] => [7,3,1,4,5,6,8,2] => [1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10
[8,2,3,6,4,7,5,1] => [8,5,2,3,4,7,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[7,2,3,6,4,8,1,5] => [5,7,2,3,4,1,8,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,1,3,2,6,8,7] => [4,1,8,3,2,5,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[5,3,1,6,2,7,8,4] => [2,6,4,1,8,3,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,7,2,4,1,8,3,5] => [7,3,4,1,8,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,6,3,2,7,8,4] => [4,6,3,1,8,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,4,1,6,2,7,8,3] => [6,4,2,1,8,3,5,7] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,7,2,5,4,1,3,8] => [6,7,3,1,5,4,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,3,5,4,2,8,6] => [5,3,4,8,2,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,6,8,2,4,5,3,1] => [5,8,4,2,1,7,6,3] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[3,8,5,4,7,1,2,6] => [6,4,1,3,7,8,5,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[1,4,8,3,6,2,7,5] => [8,2,4,6,5,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,3,2,7,4,1,5,6] => [2,6,3,5,7,8,4,1] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,3,2,6,5,8,1,4] => [7,2,5,3,4,1,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,6,2,5,7,4,8,1] => [4,6,1,3,2,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,7,1,5,8,6,4,3] => [8,4,7,6,1,3,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,4,7,2,3,8,5,1] => [2,8,4,1,5,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,1,4,3,6,5,8,2] => [3,6,4,5,8,2,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,1,5,6,3,4,8,2] => [5,3,6,4,8,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,1,8,5,4,7,3,2] => [5,4,1,8,7,6,2,3] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,6,1,5,4,2,8,3] => [8,6,5,3,4,2,1,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,1,6,8,7,2,4,3] => [3,1,8,6,7,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,6,7,5,3,1,8,2] => [2,8,1,6,5,4,3,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,3,2,6,8,7,4,1] => [8,2,1,4,7,3,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,4,6,2,8,7,3,1] => [2,1,3,8,7,4,6,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,5,8,6,7,2,3,1] => [6,1,2,4,8,7,5,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,4,8,6,3,5,1,2] => [7,2,5,1,8,6,4,3] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,3,4,7,8,6,1,5] => [7,4,8,1,2,3,6,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,5,7,6,2,3,4,1] => [5,2,6,8,7,4,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[3,4,6,7,8,2,5,1] => [3,6,1,2,4,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,5,6,7,3,8,1,4] => [2,5,3,7,1,4,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[5,8,4,6,2,1,7,3] => [1,5,3,8,6,4,7,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,4,7,5,8,6,3,1] => [8,4,2,3,7,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,6,8,3,4,2,7,5] => [4,5,2,8,6,7,1,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,8,2,7,5,3,6] => [1,7,6,8,4,5,2,3] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,1,7,2,8,5,3,6] => [1,7,6,8,4,2,3,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,5,6,3,7,4,8,1] => [2,6,4,1,3,5,8,7] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[2,6,5,3,8,4,7,1] => [6,3,2,8,1,4,7,5] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,5,3,7,4,8,1] => [6,4,3,1,2,5,8,7] => [1,1,1,4,1] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 13
[7,1,6,3,5,4,8,2] => [6,4,5,3,8,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,2,8,4,1,6] => [3,1,7,4,6,2,8,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,8,6,1,7,5,3,4] => [7,8,6,4,1,3,5,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,1,5,2,7,4,3,6] => [7,6,3,8,2,4,5,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,1,4,2,8,5,3,6] => [3,7,6,8,2,4,1,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[2,6,8,1,7,5,3,4] => [7,2,8,6,1,4,5,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[1,4,6,5,3,8,2,7] => [5,2,4,3,7,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,6,8,7,5,4,2] => [8,3,7,1,6,5,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[3,1,8,7,5,6,4,2] => [5,8,7,1,6,4,2,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,2,7,5,3,6,4,1] => [8,5,4,7,2,6,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,8,5,7,6,1,3,4] => [6,3,7,8,5,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,8,7,2,6,4,5,3] => [6,8,7,4,5,3,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,2,1,6,4,5,3] => [6,8,3,7,4,5,2,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,7,1,6,4,3,5,2] => [6,5,8,7,3,4,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,4,1,7,3,6,5,2] => [2,8,5,7,6,3,4,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[3,8,5,2,6,7,4,1] => [5,3,8,1,4,7,6,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[4,3,8,5,2,6,1,7] => [1,5,2,4,7,6,8,3] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,7,4,1,2,6,8,3] => [6,1,8,4,3,5,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,8,6,7,5,3,1,4] => [7,6,3,8,5,1,4,2] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,5,2,6,3,1,8] => [2,7,4,3,6,5,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,6,3,5,4,1,7,2] => [8,3,6,5,4,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,7,4,5,1,3,6,2] => [6,3,8,5,4,7,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,2,5,3,1,4,7] => [6,3,5,7,4,2,8,1] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,7,3,1,2,5,6] => [5,2,6,4,7,8,3,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,7,3,5,1,6,4,2] => [8,3,7,5,4,6,2,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,3,7,6,1,5,2,8] => [1,7,2,5,6,4,3,8] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,5,4,3,6,1,8,2] => [4,3,2,8,6,5,1,7] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[4,6,8,5,3,1,2,7] => [6,1,2,7,5,4,8,3] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,5,8,4,2,1,6,3] => [5,2,8,6,4,1,7,3] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,4,8,7,6,2,5,3] => [8,6,7,2,5,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,2,4,1,5,3,8,6] => [5,2,3,8,4,6,1,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,5,3,4,1,7,2,6] => [3,7,4,2,8,5,6,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[2,8,5,4,3,6,1,7] => [5,4,3,7,1,6,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[8,6,5,3,1,2,7,4] => [8,5,4,6,3,2,7,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,4,6,5,3,2,8,1] => [6,2,5,4,3,1,8,7] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[5,6,7,2,3,8,4,1] => [1,8,4,2,5,3,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,4,2,6,5,7,3,1] => [2,5,4,8,3,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,2,5,7,1,4,3,8] => [7,5,2,3,1,6,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,5,2,4,6,1,3,7] => [6,3,4,2,7,5,8,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[1,5,3,4,7,2,6,8] => [3,4,2,6,7,1,5,8] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[6,4,7,2,1,3,8,5] => [4,2,8,5,1,6,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,8,7,6,2,5,4] => [8,6,7,1,5,4,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[1,3,8,6,7,2,5,4] => [8,6,4,7,2,5,1,3] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,2,3,6,1,8,4,7] => [7,2,3,1,4,8,5,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,6,2,5,7,8,4,1] => [4,5,1,2,8,3,7,6] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,5,7,6,8,4,2,3] => [7,2,4,3,8,6,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,4,6,8,5,3,1] => [4,8,3,2,7,1,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,6,8,5,1,4,2] => [8,6,3,1,2,7,5,4] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[2,7,1,8,6,5,3,4] => [7,8,6,5,1,3,2,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[8,1,5,2,6,4,7,3] => [6,5,3,8,2,4,7,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[7,6,8,2,4,3,5,1] => [6,4,5,2,1,8,7,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,4,5,3,8,1,6,2] => [2,4,3,8,6,1,7,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,7,2,6,4,5,1,3] => [7,5,8,3,6,4,2,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[2,6,4,8,3,5,1,7] => [3,5,2,7,1,6,8,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,4,8,5,3,2,7,6] => [5,2,4,8,6,7,1,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[7,3,4,1,8,2,5,6] => [2,6,3,7,8,4,1,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[5,6,3,1,8,2,4,7] => [6,3,1,7,2,8,4,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,3,6,5,1,8,4,2] => [8,7,2,5,4,3,1,6] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[7,1,4,6,8,5,3,2] => [4,8,3,7,6,2,1,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,7,1,5,6,4,8,3] => [4,6,5,8,1,3,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[1,5,7,8,4,6,3,2] => [5,2,3,8,7,6,1,4] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,4,8,5,7,6,3,2] => [8,4,7,2,6,5,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,8,1,5,6,4,7,3] => [4,6,5,8,1,3,7,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[3,7,2,8,1,5,6,4] => [6,8,1,3,5,2,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,3,2,5,1,6,8,4] => [2,6,3,4,8,5,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[8,7,2,1,3,6,5,4] => [8,3,7,4,5,6,2,1] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[7,3,2,8,1,4,6,5] => [2,8,3,5,6,1,7,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,5,1,7,6,4,8,2] => [2,6,1,5,4,8,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,7,4,2,1,6,5,3] => [8,4,3,7,5,6,2,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,4,7,6,2,1,8,3] => [2,1,5,8,6,4,3,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,5,2,8,7,1,6,4] => [2,8,1,6,7,3,5,4] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,6,5,4,1,8,2] => [8,6,5,1,4,3,2,7] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,6,5,3,1,8,7,2] => [4,1,3,2,8,7,5,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,5,2,6,7,3,8,1] => [1,4,2,6,3,5,8,7] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,6,7,4,3,1,5,2] => [8,6,5,4,2,7,3,1] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[4,7,1,8,5,3,2,6] => [7,1,6,5,8,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,6,7,1,4,3,5,2] => [6,5,8,4,2,7,3,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,6,7,2,1,3,5,4] => [4,8,5,6,2,7,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,5,6,1,7,4,2,3] => [7,2,8,6,4,3,5,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,4,1,2,5,7,8,3] => [5,6,2,8,3,1,4,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[6,1,5,4,2,7,3,8] => [7,5,4,2,3,1,6,8] => [1,1,1,2,3] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 11
[6,4,2,3,1,7,5,8] => [3,4,2,7,5,1,6,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,4,6,1,8,2,7,5] => [8,1,2,6,3,7,4,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,1,4,7,6,2,8] => [2,7,4,1,6,3,5,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,4,5,2,7,1,3,8] => [4,2,6,3,1,7,5,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,4,3,5,1,6,2,8] => [3,2,7,5,4,6,1,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,5,3,6,2,1,4,8] => [3,6,5,2,7,4,1,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,4,3,7,1,8,2,5] => [3,2,7,1,8,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,2,7,6,3,4,8] => [6,7,5,2,1,3,4,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[5,6,1,7,2,4,3,8] => [7,5,1,6,3,2,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[3,5,6,8,1,2,7,4] => [2,8,1,5,3,6,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[2,6,5,7,1,3,4,8] => [5,6,3,1,2,7,4,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,1,3,5,4,7,8] => [6,1,3,4,5,2,7,8] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[6,1,5,4,2,7,8,3] => [6,4,3,8,2,1,5,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[4,6,1,5,2,7,8,3] => [1,6,4,8,3,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[2,8,6,5,1,3,7,4] => [8,5,6,4,1,3,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[5,1,8,6,2,7,4,3] => [1,8,7,5,4,6,2,3] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,6,8,2,7,5,1,4] => [7,2,8,1,4,6,5,3] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[5,6,4,1,7,2,8,3] => [1,8,6,4,3,2,5,7] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[3,8,6,1,5,7,4,2] => [5,8,7,1,4,3,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,1,6,3,4,2,5,7] => [4,6,5,7,2,3,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,4,2,3,1,6,8,5] => [3,4,2,6,8,5,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,4,2,3,7,8,1,5] => [7,3,2,4,1,5,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[4,3,6,2,5,8,1,7] => [2,1,4,5,3,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,6,4,5,7,3,2,8] => [3,4,2,7,6,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,6,4,5,7,2,8,3] => [3,4,2,8,6,1,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,7,5,6,4,8,3,2] => [3,5,4,2,8,7,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[7,1,6,8,3,2,4,5] => [6,5,7,3,8,2,1,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,2,6,4,1,8,3] => [1,8,6,3,5,4,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[4,5,6,1,3,8,2,7] => [1,5,2,7,3,8,4,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,3,5,7,4,2,8,1] => [3,6,2,1,5,4,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,6,4,8,5,3,1,2] => [3,7,2,1,8,6,5,4] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[8,2,1,6,4,7,3,5] => [5,7,2,4,8,3,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[1,3,8,6,5,2,7,4] => [8,6,5,2,4,7,1,3] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[1,6,8,5,4,7,2,3] => [2,7,5,4,8,6,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,1,8,3,2,6,4] => [5,1,8,6,7,3,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,1,3,8,6,4,7,5] => [8,6,1,5,7,2,3,4] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[8,2,5,4,3,7,1,6] => [5,4,2,3,7,8,6,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,1,5,3,4,7,2,6] => [4,5,3,7,8,2,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[6,1,8,7,4,5,3,2] => [5,1,8,7,6,4,2,3] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[1,5,8,6,4,3,7,2] => [6,2,5,4,8,7,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,1,8,4,7,5,3] => [8,5,2,7,1,6,3,4] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,8,6,1,2,7,4] => [8,2,1,5,6,4,7,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,8,1,4,6,2,7,3] => [4,1,8,6,3,5,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,2,3,7,1,8,5] => [1,8,3,4,2,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,8,7,5,1,3,4,2] => [6,1,8,5,7,4,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[6,4,3,2,7,8,5,1] => [3,2,5,1,8,4,7,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,7,6,1,5,3,8,4] => [8,6,4,5,1,3,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,8,6,4,2,5,3,1] => [8,5,4,1,7,6,3,2] => [1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 24
[6,4,5,8,7,1,3,2] => [2,3,1,8,6,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[6,4,1,7,8,3,2,5] => [2,7,6,4,1,8,3,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[6,4,3,8,7,2,5,1] => [2,6,1,8,3,7,5,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[5,4,7,2,1,3,8,6] => [4,2,1,8,5,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[2,6,4,5,7,1,8,3] => [3,4,2,8,1,6,5,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,4,6,5,2,8,1,7] => [5,1,2,4,3,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,6,7,5,8,2,1,3] => [2,7,1,6,4,3,8,5] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,7,6,4,1,8,3] => [8,2,6,5,1,4,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,1,4,6,2,7,8,3] => [3,6,4,1,8,2,5,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[6,1,3,7,2,8,4,5] => [7,8,3,5,2,1,4,6] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[3,8,5,4,1,7,2,6] => [7,4,1,3,8,5,6,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[2,8,5,3,1,7,4,6] => [4,7,3,8,1,5,6,2] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[6,5,2,3,7,1,8,4] => [8,3,4,2,1,6,5,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,1,3,7,5,8,4,6] => [5,7,1,4,8,2,3,6] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[2,3,8,7,1,4,6,5] => [8,5,6,7,1,2,4,3] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[6,8,2,5,4,7,3,1] => [5,4,1,8,3,7,6,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[2,7,6,3,8,4,5,1] => [6,8,4,3,1,2,7,5] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[4,7,2,3,5,1,8,6] => [3,1,4,5,8,6,2,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[6,4,2,1,3,7,5,8] => [3,7,4,2,5,1,6,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[5,3,2,7,6,1,8,4] => [8,2,1,6,3,5,4,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,6,4,2,8,7,1,3] => [1,7,3,2,8,4,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,7,4,2,6,1,8,3] => [1,8,4,3,6,5,2,7] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,4,7,1,6,2,8,3] => [2,1,8,6,4,5,3,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,5,8,7,6,2,1,3] => [7,1,2,6,8,5,4,3] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,4,7,1,2,3,8,5] => [8,4,2,5,1,6,3,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,1,7,3,8,4,5,2] => [6,8,4,3,1,7,2,5] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,3,8,2,5,6,4,7] => [5,7,2,4,6,8,1,3] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,3,8,4,6,2,7,5] => [8,4,6,2,5,7,1,3] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,6,4,2,1,7,3,8] => [4,1,7,5,3,2,6,8] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,5,7,6,3,8,4,1] => [8,2,5,4,1,3,7,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,7,1,2,5,3,8] => [7,4,2,5,1,6,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,2,7,5,8,6,3,4] => [4,7,3,8,6,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[7,4,5,1,6,8,2,3] => [2,7,5,3,8,4,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,7,8,4,2,6,3,5] => [7,4,8,5,2,6,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,2,1,5,3,7,8,4] => [6,2,4,8,3,1,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,2,5,1,3,8,7,4] => [8,7,2,4,3,1,5,6] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,2,8,5,1,3,7,4] => [8,5,6,2,1,4,7,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,1,7,8,3,6,5,2] => [8,1,5,3,7,6,2,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,2,1,7,3,5,8] => [3,6,2,7,4,1,5,8] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,8,4,2,1,3,6,7] => [5,4,1,6,3,7,8,2] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,7,5,8,4,3,6,2] => [3,6,5,2,8,7,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,1,2,7,4,8,3] => [6,5,8,3,2,1,4,7] => [1,2,1,1,3] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 13
[2,8,4,3,5,1,7,6] => [4,3,5,8,1,6,7,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[5,2,4,7,6,8,1,3] => [7,3,1,5,2,4,8,6] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[3,1,5,7,4,8,6,2] => [8,1,3,5,4,7,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,7,6,8,2,5,3] => [8,1,6,4,3,7,2,5] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[7,2,6,4,1,5,3,8] => [7,5,2,4,6,3,1,8] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,2,6,5,8,3,7,4] => [4,3,8,6,7,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[7,3,5,6,1,4,2,8] => [7,2,5,3,6,4,1,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,3,1,6,7,4,2] => [3,1,5,8,7,4,6,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[4,7,1,6,8,5,2,3] => [7,1,4,8,6,3,2,5] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[1,7,3,8,2,5,4,6] => [7,3,5,6,2,8,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,3,1,8,6,7,4,2] => [5,1,8,2,7,6,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,7,1,6,5,8,4,3] => [5,4,8,7,1,3,2,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,3,6,1,7,5,4,8] => [7,6,1,2,4,3,5,8] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,7,1,4,8,6,5,3] => [8,7,4,6,1,3,2,5] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,7,5,4,1,3,2,8] => [7,5,1,6,4,3,2,8] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[6,2,7,1,4,3,5,8] => [6,2,4,5,1,7,3,8] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,3,2,6,5,1,7,4] => [8,2,6,3,5,4,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,8,6,3,2,5,4,1] => [4,8,5,1,7,6,3,2] => [2,1,2,1,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 23
[5,2,8,6,3,1,4,7] => [6,5,1,7,2,4,8,3] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[1,6,4,8,2,3,5,7] => [5,3,6,2,7,8,1,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,8,5,6,4,1,7,3] => [3,8,6,5,1,4,7,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[1,4,7,3,5,8,6,2] => [8,2,4,5,3,7,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,6,1,4,3,2,7,5] => [5,4,8,3,6,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,6,1,5,2,3,8,4] => [8,5,6,3,4,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,1,8,6,7,2,3,4] => [6,1,7,4,8,5,2,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,1,6,8,2,3,4] => [6,1,7,4,8,3,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,8,4,2,1,7,3,5] => [4,7,3,1,8,5,6,2] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,1,3,7,8,5,2] => [5,2,8,4,1,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[6,8,5,4,3,7,1,2] => [1,7,5,4,3,8,6,2] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[5,7,4,8,3,1,2,6] => [1,6,3,7,5,2,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,1,2,4,8,3,7,5] => [8,4,6,7,2,1,3,5] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[2,5,6,8,1,4,7,3] => [2,6,3,8,1,5,7,4] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,1,6,5,2,3,8,7] => [1,8,5,4,2,3,6,7] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[8,5,7,3,4,6,2,1] => [4,2,5,8,7,6,3,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,8,7,4,3,5,2,1] => [1,5,4,8,7,6,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[4,8,6,2,5,7,3,1] => [5,8,1,4,3,7,6,2] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[1,6,4,7,5,3,2,8] => [7,3,2,6,5,1,4,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,6,5,3,2,7,4,8] => [4,7,5,3,1,2,6,8] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,4,7,5,3,2,6,8] => [6,2,5,4,7,1,3,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[1,7,5,4,3,2,8,6] => [5,4,3,8,6,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,4,7,5,3,2,8,6] => [5,2,4,8,6,1,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[1,7,4,6,8,5,3,2] => [4,8,3,2,7,6,1,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,7,2,3,5,4,1] => [8,4,1,5,7,6,3,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,7,6,1,8,2,4,3] => [1,8,6,7,4,3,2,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,8,6,5,7,2,3,1] => [6,4,1,3,8,7,5,2] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[2,7,8,5,1,4,3,6] => [7,5,6,4,1,2,8,3] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,5,6,2,4,7,3,1] => [5,2,8,4,3,7,6,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,1,3,6,4,5,2,7] => [5,7,3,6,2,4,8,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[4,3,1,6,2,5,8,7] => [2,1,8,5,3,4,6,7] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[7,5,2,1,8,4,3,6] => [7,3,6,2,8,4,1,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,3,1,4,7,8,2,6] => [2,7,4,1,5,8,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[8,6,1,3,5,7,4,2] => [5,8,4,7,3,2,6,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,5,8,2,3,4,6] => [5,6,3,7,8,2,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[3,6,8,5,1,4,2,7] => [7,5,1,2,6,4,8,3] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,2,4,1,6,8,3,7] => [5,2,3,1,7,8,4,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[2,5,3,4,6,8,1,7] => [3,4,1,2,5,7,8,6] => [2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 9
[6,7,3,1,8,2,4,5] => [6,3,7,1,8,4,2,5] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,1,4,6,2,8,5] => [2,8,4,6,3,5,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,1,2,5,6,3,8] => [5,7,3,2,4,6,1,8] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,4,1,3,6,8,7,2] => [8,4,2,1,5,7,3,6] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[4,3,1,2,5,7,6,8] => [7,3,2,1,4,5,6,8] => [1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 6
[1,2,4,7,8,5,6,3] => [6,4,8,3,7,1,2,5] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,6,5,7,4,2,1] => [4,3,8,2,7,6,5,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[8,2,6,5,7,4,3,1] => [4,3,8,7,2,6,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,4,7,1,5,2,6,3] => [2,8,6,4,5,7,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,3,7,5,4,1] => [8,7,4,2,3,6,5,1] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[8,2,5,3,7,6,4,1] => [3,8,7,2,4,6,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,5,7,1,4,3,6,2] => [6,5,2,8,4,7,3,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,3,1,8,4,2,6,7] => [2,6,5,1,7,8,3,4] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[4,5,3,6,8,7,1,2] => [1,3,2,4,7,8,6,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[2,1,6,5,8,7,3,4] => [4,3,7,8,1,6,2,5] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[6,1,5,4,7,3,8,2] => [4,3,6,5,1,8,2,7] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[3,1,8,4,2,7,6,5] => [8,1,4,7,5,6,2,3] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,3,1,7,6,4,5] => [7,8,2,3,6,4,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,2,5,8,3,1,4,6] => [6,5,2,3,7,1,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,2,5,7,3,1,4,6] => [6,5,2,3,7,8,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[5,3,2,8,7,1,6,4] => [8,2,1,6,7,3,5,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,6,7,4,1,3,5,2] => [6,8,5,4,2,7,3,1] => [2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 22
[4,1,3,6,5,2,8,7] => [5,3,1,4,8,2,6,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[4,6,3,2,5,1,8,7] => [1,4,3,5,2,8,6,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,3,6,5,2,7,1] => [6,1,3,5,4,8,7,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,6,2,5,4,7,3] => [6,5,8,4,2,3,7,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[2,4,3,8,6,1,7,5] => [8,2,6,1,3,5,7,4] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,6,3,8,5,4,7,1] => [6,5,2,8,1,3,7,4] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[6,1,3,2,5,8,7,4] => [8,3,5,7,2,1,4,6] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[6,8,4,2,5,3,7,1] => [6,4,3,1,5,8,7,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[6,8,4,3,5,2,7,1] => [4,3,1,6,5,8,7,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,1,4,6,5,3,7,2] => [6,3,5,4,8,2,7,1] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,5,4,6,1,2,8,7] => [3,1,2,8,5,4,6,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,3,5,6,1,8,2,4] => [7,2,3,8,5,4,1,6] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,5,4,8,7,2,3,1] => [3,2,1,6,8,7,5,4] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[5,7,4,3,6,2,1,8] => [1,4,3,7,6,5,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,8,5,6,2,3,7,4] => [8,5,3,6,4,7,1,2] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,2,4,6,8,1,5,3] => [8,3,6,2,4,1,7,5] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,2,5,4,7,8,1,3] => [4,3,7,2,1,5,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[3,8,2,6,1,7,4,5] => [7,8,1,3,5,4,6,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[8,5,6,1,3,2,7,4] => [5,8,4,2,6,3,7,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[5,3,7,8,2,6,1,4] => [5,1,7,2,3,8,6,4] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,2,6,4,3,7,5,1] => [4,8,5,2,3,7,6,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,1,8,7,4,5,2] => [6,8,2,1,7,5,3,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,1,3,6,2,4,8] => [4,6,1,7,3,5,2,8] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,1,3,2,5,8,6] => [4,1,8,3,5,6,2,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[4,7,1,3,2,6,8,5] => [4,1,6,8,3,5,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,1,3,6,2,8,4] => [8,4,1,6,3,5,2,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[6,8,2,5,7,3,1,4] => [7,6,3,1,4,8,5,2] => [1,1,1,3,1,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 19
[3,7,5,4,2,8,1,6] => [5,4,1,3,7,2,8,6] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,7,1,3,2,8,5,6] => [4,1,7,8,3,5,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[3,6,5,1,8,2,4,7] => [6,7,1,3,2,8,4,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,2,3,7,4,6,1] => [6,8,3,2,4,7,5,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[6,3,1,5,4,8,2,7] => [2,5,4,7,1,8,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,7,6,3,5,2,8,1] => [4,6,1,5,3,2,8,7] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[5,8,2,3,4,7,6,1] => [8,3,1,4,5,7,6,2] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[8,3,1,4,7,5,2,6] => [2,7,4,6,8,3,5,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[5,3,1,6,4,8,7,2] => [2,4,1,8,5,7,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[8,5,1,2,7,6,4,3] => [8,7,6,3,2,4,5,1] => [1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 17
[8,2,6,3,1,5,4,7] => [4,7,2,5,6,3,8,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[3,7,8,5,6,2,4,1] => [6,4,2,8,1,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,4,3,6,2,5,8,1] => [3,2,5,6,4,1,8,7] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[1,5,3,8,4,7,2,6] => [5,2,7,8,3,6,1,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[8,2,3,1,6,5,7,4] => [6,2,3,5,8,4,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[8,4,2,7,1,3,6,5] => [8,3,2,5,6,7,4,1] => [1,1,4,1,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 16
[3,8,2,6,4,7,1,5] => [5,7,1,3,4,8,6,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,7,5,8,6,2,4,3] => [3,8,6,2,7,5,1,4] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,5,1,7,4,8,3,2] => [5,4,2,1,8,7,3,6] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[6,5,4,1,7,2,3,8] => [6,7,4,3,2,1,5,8] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[8,3,6,1,7,4,5,2] => [6,8,2,7,4,3,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[7,1,2,6,4,8,3,5] => [5,7,4,8,2,3,1,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,5,1,8,6,2,4,7] => [6,1,2,7,5,8,3,4] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,7,5,4,6,2,3] => [7,5,4,8,6,3,1,2] => [1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 18
[8,1,6,7,4,5,3,2] => [5,3,8,7,6,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[8,1,6,4,7,5,3,2] => [8,4,3,7,6,2,5,1] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,4,8,1,5,3,7,2] => [2,6,5,1,8,4,7,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,6,4,3,5,8,2,7] => [4,3,5,2,7,8,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[5,1,4,3,7,8,6,2] => [3,5,1,8,4,7,2,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[5,7,1,8,6,3,2,4] => [1,7,6,8,5,3,2,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,3,7,6,5,2,8] => [1,7,6,3,5,2,4,8] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[4,3,6,1,2,7,8,5] => [2,1,6,8,4,3,5,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[7,2,6,1,3,5,8,4] => [6,8,2,4,5,3,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,2,7,1,5,8,3,4] => [7,5,8,2,1,4,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,3,6,7,2,4,1] => [1,6,3,4,8,7,5,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,8,7,3,4,2,5,1] => [4,1,6,5,8,7,3,2] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,8,6,2,4,7,5,3] => [8,5,7,4,3,6,1,2] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,7,3,6,4,2,1,8] => [1,7,3,6,5,4,2,8] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[5,7,3,6,4,1,8,2] => [1,8,3,6,5,4,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[2,8,5,7,3,4,6,1] => [5,3,6,8,7,1,4,2] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[6,7,2,3,5,8,1,4] => [7,3,4,1,5,2,8,6] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,5,8,2,3,1,6] => [2,5,3,7,6,1,8,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,1,3,8,5,4,6,7] => [6,1,5,7,8,2,3,4] => [1,4,3] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 6
[5,3,6,8,2,4,1,7] => [5,2,1,3,7,6,8,4] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,7,8,6,3,2,4,5] => [6,5,7,2,8,4,1,3] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,1,2,5,3,8,4,6] => [7,4,8,2,3,5,1,6] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,7,4,2,5,1,8,6] => [4,1,3,5,8,6,2,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[2,6,7,5,3,8,1,4] => [5,2,7,4,1,3,8,6] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,5,2,6,8,7,1,3] => [1,4,2,7,8,3,6,5] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[4,5,2,6,8,3,1,7] => [1,4,2,7,3,6,8,5] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[7,8,2,6,5,4,3,1] => [8,7,6,3,1,5,4,2] => [1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 23
[5,3,7,8,4,2,1,6] => [1,7,6,2,5,3,8,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,3,6,8,1,5,4,2] => [8,7,2,5,3,1,6,4] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[7,5,8,2,4,3,6,1] => [6,4,2,5,1,8,7,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,8,7,2,4,3,6,1] => [1,6,4,5,8,7,3,2] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[1,7,2,4,8,5,6,3] => [6,8,4,7,3,1,2,5] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[5,8,2,3,7,4,6,1] => [6,1,8,3,4,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[8,4,1,3,2,6,5,7] => [4,7,3,2,5,6,8,1] => [2,1,4,1] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 12
[8,7,2,3,5,4,6,1] => [6,3,4,5,8,7,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[2,7,3,1,8,5,6,4] => [6,8,3,7,1,4,2,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[3,8,5,2,1,6,7,4] => [4,6,1,3,8,5,7,2] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[2,8,6,1,5,7,4,3] => [5,8,7,4,1,3,6,2] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[8,3,5,1,7,6,4,2] => [3,8,2,7,6,4,5,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,5,4,7,1,6,2] => [4,2,3,8,6,7,5,1] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[6,4,1,5,7,8,2,3] => [4,2,7,5,1,8,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[4,8,7,1,2,5,3,6] => [1,7,4,5,6,8,3,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,7,2,6,1,4,3,5] => [7,3,5,6,8,4,2,1] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[7,1,8,6,4,2,3,5] => [6,7,5,8,4,2,1,3] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[4,1,3,5,8,2,6,7] => [3,4,1,6,7,8,2,5] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[1,4,7,6,8,3,5,2] => [6,4,2,3,8,7,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[1,7,2,8,6,5,3,4] => [7,8,6,5,3,1,2,4] => [2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 14
[2,8,4,6,7,1,5,3] => [8,3,6,4,7,1,5,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[3,8,5,1,4,2,6,7] => [6,1,4,5,3,7,8,2] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[1,7,6,2,5,3,8,4] => [8,6,4,5,3,1,2,7] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[1,7,5,2,4,3,8,6] => [5,8,4,3,6,1,2,7] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[7,6,3,5,4,8,2,1] => [5,3,4,2,1,8,7,6] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[3,1,2,5,7,6,8,4] => [1,6,4,5,8,2,3,7] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[5,1,7,3,2,6,8,4] => [4,6,1,8,5,2,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,8,2,3,7,5,1,6] => [1,7,3,4,6,8,5,2] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[7,6,2,8,4,5,1,3] => [7,5,8,3,2,1,6,4] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[6,8,1,5,7,3,2,4] => [7,6,4,1,8,3,5,2] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[3,7,6,2,1,4,5,8] => [5,1,4,6,7,3,2,8] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[1,6,8,7,2,5,4,3] => [2,8,7,5,6,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[1,4,8,7,6,3,5,2] => [6,8,7,2,5,4,1,3] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[2,3,7,6,1,8,4,5] => [7,8,5,1,2,4,3,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[5,8,4,2,1,3,7,6] => [4,1,8,5,3,6,7,2] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[4,6,7,5,2,3,1,8] => [5,1,2,7,6,4,3,8] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[6,2,5,3,8,7,1,4] => [7,3,8,2,1,4,6,5] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[6,4,5,3,8,7,1,2] => [2,4,3,1,7,8,6,5] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,6,4,5,8,7,3,2] => [8,3,2,4,7,6,1,5] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,7,4,5,3,1,6] => [4,7,6,2,5,8,3,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[8,2,6,7,5,3,1,4] => [7,6,3,8,2,5,4,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[8,4,6,7,5,3,1,2] => [7,2,3,8,6,5,4,1] => [1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 23
[6,4,5,8,7,3,1,2] => [2,3,1,7,8,6,5,4] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[6,2,8,7,5,3,1,4] => [7,6,1,8,5,2,4,3] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[6,7,2,4,5,3,1,8] => [4,7,3,1,6,5,2,8] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[6,8,7,4,5,3,1,2] => [1,7,4,8,6,5,3,2] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[2,8,4,7,5,3,1,6] => [7,3,6,5,8,1,4,2] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[6,5,8,4,7,2,1,3] => [2,1,7,6,4,8,5,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,8,6,2,5,7,1,3] => [7,1,4,5,3,8,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[8,1,6,2,5,7,3,4] => [7,5,8,4,2,3,6,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,1,5,3,2,7,4,6] => [4,7,3,8,2,5,6,1] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[8,3,7,6,2,5,4,1] => [8,5,7,2,6,4,3,1] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[4,6,1,3,5,8,2,7] => [4,1,5,7,2,8,3,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,5,1,3,8,7,2,6] => [1,7,2,8,4,6,3,5] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,4,5,8,1,7,2,3] => [2,7,3,1,8,5,6,4] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,2,8,5,1,4,7,3] => [6,8,5,2,1,4,7,3] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[2,4,7,6,1,8,3,5] => [7,8,2,5,1,4,3,6] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,4,5,8,6,3,2,1] => [8,2,3,1,7,6,5,4] => [1,2,2,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 22
[1,6,2,3,8,5,7,4] => [6,8,7,3,1,2,4,5] => [2,1,1,4] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 9
[3,8,1,2,4,7,6,5] => [8,1,7,3,4,5,6,2] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[2,3,8,1,4,6,5,7] => [7,1,2,4,5,6,8,3] => [1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 8
[3,6,2,4,7,5,8,1] => [6,1,3,4,2,5,8,7] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,7,3,5,8,1,6] => [4,1,5,7,2,3,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,2,7,8,6,3,1,5] => [7,1,6,3,8,2,5,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[2,3,7,4,8,1,6,5] => [8,4,6,1,2,3,7,5] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[7,3,2,6,8,4,5,1] => [6,2,4,8,3,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,4,2,6,7,3,5,1] => [2,6,4,8,3,7,5,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[4,1,5,7,8,6,2,3] => [1,7,3,4,8,6,2,5] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[6,1,4,8,2,3,7,5] => [3,8,5,6,1,7,2,4] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[7,6,2,3,5,8,4,1] => [5,8,3,4,2,1,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[2,5,7,8,6,4,1,3] => [7,2,3,8,6,1,5,4] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[8,7,4,6,2,5,3,1] => [3,8,5,7,6,4,2,1] => [2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 24
[1,7,5,4,6,2,3,8] => [6,4,3,7,5,1,2,8] => [1,1,2,1,3] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 12
[6,1,7,4,8,5,2,3] => [4,7,3,1,8,6,2,5] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,6,2,4,8,7,3,1] => [1,8,4,2,7,3,6,5] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[8,5,6,2,3,7,4,1] => [8,4,2,5,3,7,6,1] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[7,8,1,4,5,6,2,3] => [4,7,5,8,3,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[8,3,1,2,5,4,7,6] => [5,2,8,3,4,6,7,1] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,1,5,3,7,4,2,6] => [7,4,3,6,8,2,5,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[1,2,6,7,8,3,5,4] => [3,8,6,4,7,1,2,5] => [2,1,2,3] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10
[1,2,4,8,6,7,3,5] => [7,5,8,3,6,1,2,4] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,1,2,6,5,7,3,4] => [7,5,4,8,2,3,6,1] => [1,1,2,3,1] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 14
[2,6,1,4,7,5,8,3] => [6,4,5,1,2,8,3,7] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[3,1,7,5,2,6,8,4] => [6,1,4,8,5,2,3,7] => [1,3,1,3] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 10
[3,2,7,5,1,6,8,4] => [6,1,4,8,2,5,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,2,7,3,1,6,8,4] => [4,6,1,8,2,5,3,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[6,7,2,1,3,4,8,5] => [3,8,4,5,1,6,2,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,6,3,1,2,7,8,5] => [1,6,3,8,4,2,5,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[4,5,8,7,6,3,1,2] => [7,8,1,2,6,5,4,3] => [2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 20
[8,1,4,3,6,2,5,7] => [4,3,6,7,2,5,8,1] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[8,1,5,7,6,4,3,2] => [8,3,7,6,5,2,4,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[1,6,3,7,8,4,2,5] => [7,6,3,2,4,8,1,5] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,3,8,4,6,7,2,1] => [4,1,5,8,2,7,6,3] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[3,2,7,8,5,6,4,1] => [5,3,8,1,7,2,6,4] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[4,7,3,8,5,6,2,1] => [5,8,1,3,2,7,6,4] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[7,1,4,8,5,6,3,2] => [5,8,3,7,6,2,1,4] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,7,3,8,6,4,5,2] => [6,8,7,3,2,5,1,4] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[3,4,8,2,6,7,5,1] => [5,8,1,2,4,7,6,3] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[1,6,3,8,7,4,5,2] => [6,2,8,7,3,5,1,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[1,4,5,8,7,6,2,3] => [7,8,2,3,6,5,1,4] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[1,4,3,5,8,2,6,7] => [3,2,4,6,7,8,1,5] => [1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 7
[2,1,3,8,6,4,5,7] => [6,7,1,5,8,2,3,4] => [2,3,3] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 7
[1,3,6,4,5,8,2,7] => [4,5,2,3,7,8,1,6] => [2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 8
[6,1,4,3,5,8,2,7] => [4,3,5,7,1,8,2,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,1,3,8,6,2,5,7] => [6,1,7,3,5,8,2,4] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[7,1,5,4,6,3,8,2] => [4,3,6,5,8,2,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[6,4,7,8,3,5,1,2] => [7,2,1,5,3,8,6,4] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[3,5,2,4,8,6,7,1] => [6,1,2,8,3,4,7,5] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[3,7,6,1,4,8,5,2] => [8,5,7,1,4,3,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[8,4,7,1,5,6,2,3] => [2,7,5,8,4,6,3,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[2,7,8,3,6,1,5,4] => [8,4,6,2,7,1,5,3] => [1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 16
[7,4,3,5,8,1,6,2] => [3,2,4,8,6,1,7,5] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[7,3,6,4,1,8,5,2] => [4,8,2,7,5,3,1,6] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[7,8,4,3,6,1,5,2] => [4,3,8,6,1,7,5,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,1,6,4,3,8,5,2] => [4,8,5,3,7,2,1,6] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[8,7,3,4,1,5,2,6] => [3,7,5,4,6,8,2,1] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[7,2,6,4,3,8,5,1] => [4,8,5,2,3,1,7,6] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[1,7,5,4,3,8,2,6] => [5,4,3,7,2,8,1,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,6,4,5,1,3,7,2] => [6,3,8,5,4,2,7,1] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
[7,4,8,5,3,6,1,2] => [7,2,5,4,1,8,6,3] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[4,5,3,8,7,1,2,6] => [1,3,2,6,7,8,5,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[8,5,4,7,6,1,2,3] => [6,3,2,7,8,5,4,1] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[8,2,3,5,4,1,7,6] => [5,2,3,4,8,6,7,1] => [1,4,2,1] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 13
[7,2,3,6,4,1,8,5] => [5,8,2,3,6,4,1,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[4,2,6,3,5,8,1,7] => [4,1,5,2,3,7,8,6] => [1,2,4,1] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11
[8,5,2,4,6,3,1,7] => [4,7,3,2,6,5,8,1] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[6,4,1,8,5,2,3,7] => [6,2,7,5,1,8,3,4] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[8,4,1,6,3,5,2,7] => [5,2,7,6,3,4,8,1] => [1,2,1,3,1] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 15
[8,6,2,3,5,7,4,1] => [5,8,3,4,2,7,6,1] => [2,2,2,1,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 19
[8,6,2,5,7,3,4,1] => [6,4,8,3,2,7,5,1] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[8,5,1,2,7,4,6,3] => [6,8,7,3,2,4,5,1] => [2,1,1,3,1] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 16
[7,2,6,8,3,4,5,1] => [5,6,3,8,2,1,7,4] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,6,7,5,4,8,2,3] => [2,7,5,4,3,8,1,6] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,8,5,4,2,6,3,7] => [7,5,4,3,6,8,1,2] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,3,6,2,1,4,8] => [3,1,6,5,7,4,2,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,8,6,1,2,4,3,7] => [7,4,1,5,6,3,8,2] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[4,1,5,7,3,6,8,2] => [3,1,5,6,4,8,2,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,4,5,7,6,8,2,3] => [7,2,3,5,4,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[5,7,2,1,6,8,4,3] => [5,1,8,3,7,4,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[2,6,3,1,7,8,5,4] => [5,8,3,1,2,7,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,6,1,8,7,4,5,2] => [6,2,8,1,7,5,3,4] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[4,7,1,3,5,6,8,2] => [4,1,5,6,8,3,2,7] => [1,4,1,2] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 12
[4,3,5,7,8,2,6,1] => [1,6,2,3,4,8,7,5] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[5,3,2,7,6,4,1,8] => [7,2,1,6,3,5,4,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[5,3,7,4,6,2,1,8] => [4,1,7,2,6,5,3,8] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,3,2,1,8,6,4] => [3,1,8,4,7,5,2,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[5,7,6,3,2,1,8,4] => [1,5,4,8,6,3,2,7] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[3,2,7,5,4,1,8,6] => [5,1,4,8,2,6,3,7] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,7,3,5,4,2,6,8] => [6,3,5,4,7,1,2,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[5,3,7,4,1,8,6,2] => [4,1,8,2,7,5,3,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,3,5,4,1,6,8,2] => [6,2,4,3,8,5,1,7] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,1,6,8,3,2,4] => [7,6,4,2,8,3,1,5] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[5,3,1,7,6,8,2,4] => [7,2,1,5,4,8,3,6] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[7,1,5,3,2,4,8,6] => [4,8,5,2,3,6,1,7] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[7,1,5,2,4,3,6,8] => [6,4,5,2,3,7,1,8] => [1,2,3,2] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 10
[6,8,7,3,2,1,5,4] => [5,4,1,8,6,7,3,2] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[5,7,3,6,2,1,8,4] => [3,1,5,8,6,4,2,7] => [1,3,1,1,2] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 16
[3,6,5,2,4,8,1,7] => [4,5,1,3,2,7,8,6] => [2,2,3,1] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 13
[1,8,3,6,2,4,7,5] => [8,3,5,6,4,7,1,2] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,8,7,5,6,4,2,3] => [7,4,8,6,5,3,1,2] => [1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 19
[6,3,2,1,5,8,4,7] => [3,2,5,7,1,8,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[4,3,5,6,2,8,1,7] => [2,1,3,5,4,7,8,6] => [1,3,3,1] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 12
[4,5,3,1,6,8,2,7] => [1,5,3,2,7,8,4,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[3,4,6,7,5,1,8,2] => [3,8,1,2,6,5,4,7] => [2,3,1,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 13
[7,4,1,2,5,6,8,3] => [5,6,2,8,3,4,1,7] => [2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 12
[4,8,2,6,7,1,5,3] => [8,1,6,3,4,7,5,2] => [1,2,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 17
[6,5,8,3,7,1,4,2] => [4,2,1,8,6,7,5,3] => [1,1,2,2,1,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 20
[1,5,2,4,7,6,8,3] => [6,4,2,5,8,1,3,7] => [1,1,3,3] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 8
[2,5,4,7,1,8,3,6] => [3,2,7,8,1,5,4,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,5,4,7,3,8,2,6] => [3,2,5,7,4,8,1,6] => [1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11
[1,2,6,7,3,5,4,8] => [7,5,3,6,1,2,4,8] => [1,1,2,4] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 7
[3,7,8,4,5,6,1,2] => [4,7,5,1,2,8,6,3] => [2,1,3,1,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 18
[1,3,8,6,7,4,5,2] => [6,4,8,7,2,5,1,3] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[2,6,5,3,7,1,8,4] => [8,4,3,1,2,6,5,7] => [1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 12
[5,7,1,3,6,4,8,2] => [6,4,1,5,8,3,2,7] => [1,1,3,1,2] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 14
[8,2,5,4,1,7,3,6] => [7,4,2,3,8,5,6,1] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[8,1,7,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,8,6,3,7,4,5,2] => [6,8,4,3,7,5,1,2] => [2,1,2,1,2] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 16
[5,7,3,4,2,8,6,1] => [3,1,4,8,5,2,7,6] => [1,3,1,2,1] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 17
[5,8,3,4,2,7,6,1] => [3,1,4,8,5,7,6,2] => [1,3,2,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 18
[7,6,4,2,3,8,5,1] => [8,4,3,5,2,1,7,6] => [1,1,2,1,2,1] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 19
[3,5,6,8,2,4,7,1] => [2,5,1,3,6,8,7,4] => [2,4,1,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 15
[4,8,7,3,2,5,6,1] => [5,1,4,6,8,7,3,2] => [1,4,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 19
[6,4,8,7,3,2,5,1] => [6,2,1,5,8,7,4,3] => [1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 21
[6,2,8,3,7,4,5,1] => [6,8,4,1,7,2,5,3] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[3,7,5,6,4,2,8,1] => [3,6,5,1,4,2,8,7] => [2,1,2,2,1] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 17
[7,8,2,6,4,3,5,1] => [6,5,8,3,1,7,4,2] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[5,1,3,6,4,2,7,8] => [6,3,5,2,1,4,7,8] => [1,2,1,4] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 8
[6,1,2,4,7,5,3,8] => [7,4,6,2,3,1,5,8] => [1,2,2,3] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 9
[8,3,1,4,6,7,2,5] => [2,7,4,5,8,3,6,1] => [2,3,2,1] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 14
[7,8,5,1,2,6,3,4] => [7,8,4,5,3,1,6,2] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[6,4,5,1,8,7,3,2] => [2,3,1,8,7,6,4,5] => [2,2,1,1,2] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 17
[1,6,5,7,3,4,8,2] => [5,3,2,6,4,8,1,7] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[8,2,6,5,1,7,4,3] => [8,7,5,2,4,3,6,1] => [1,1,1,2,2,1] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 18
[2,6,5,4,8,7,1,3] => [4,3,2,7,8,1,6,5] => [1,1,3,2,1] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 15
[5,6,7,1,3,2,4,8] => [6,4,1,5,2,7,3,8] => [1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 13
[1,8,5,2,7,6,4,3] => [3,8,7,6,4,5,1,2] => [2,1,1,2,2] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 15
[1,7,6,8,2,5,4,3] => [8,7,5,3,2,6,1,4] => [1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 16
[1,7,8,6,2,5,4,3] => [8,7,5,2,6,4,1,3] => [1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 17
[4,6,5,7,1,8,2,3] => [7,1,3,2,8,5,4,6] => [1,2,2,1,2] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 15
[7,5,3,6,8,4,2,1] => [4,2,8,3,1,7,6,5] => [1,2,1,2,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 21
[7,2,5,6,4,8,3,1] => [3,5,4,8,2,1,7,6] => [2,2,1,2,1] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 18
[1,5,7,6,2,3,8,4] => [2,8,5,6,4,1,3,7] => [2,2,1,3] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 11
[1,3,7,4,6,8,5,2] => [5,8,4,2,3,7,1,6] => [2,1,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 11
[2,6,7,5,3,4,1,8] => [5,2,7,6,1,4,3,8] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,6,1,4,3,8,7,2] => [4,1,8,5,2,7,3,6] => [1,2,1,2,2] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 14
[5,8,6,4,3,1,7,2] => [8,1,6,5,4,3,7,2] => [1,2,1,1,2,1] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 20
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The major index north count of a Dyck path.
The descent set des(D) of a Dyck path D=D1⋯D2n with Di∈{N,E} is given by all indices i such that Di=E and Di+1=N. This is, the positions of the valleys of D.
The major index of a Dyck path is then the sum of the positions of the valleys, ∑i∈des(D)i, see St000027The major index of a Dyck path..
The major index north count is given by ∑i∈des(D)#{j≤i∣Dj=N}.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
Map
Lehmer-code to major-code bijection
Description
Sends a permutation to the unique permutation such that the Lehmer code is sent to the major code.
The Lehmer code encodes the inversions of a permutation and the major code encodes its major index. In particular, the number of inversions of a permutation equals the major index of its image under this map.
* The Lehmer code of a permutation σ is given by L(σ)=l1…ln with li=#{j>i:σj<σi}. In particular, li is the number of boxes in the i-th column of the Rothe diagram. For example, the Lehmer code of σ=[4,3,1,5,2] is 32010. The Lehmer code L:Sn ˜⟶ Sn is a bijection between permutations of size n and sequences l1…ln∈Nn with li≤i.
* The major code M(σ) of a permutation σ∈Sn is a way to encode a permutation as a sequence m1m2…mn with mi≥i. To define mi, let deli(σ) be the normalized permutation obtained by removing all σj<i from the one-line notation of σ. The i-th index is then given by
mi=maj(deli(σ))−maj(deli−1(σ)).
For example, the permutation [9,3,5,7,2,1,4,6,8] has major code [5,0,1,0,1,2,0,1,0] since
maj([8,2,4,6,1,3,5,7])=5,maj([7,1,3,5,2,4,6])=5,maj([6,2,4,1,3,5])=4,
maj([5,1,3,2,4])=4,maj([4,2,1,3])=3,maj([3,1,2])=1,maj([2,1])=1.
Observe that the sum of the major code of σ equals the major index of σ.
Map
bounce path
Description
The bounce path determined by an integer composition.